Mercurial > hg > octave-lyh
annotate liboctave/dSparse.cc @ 10521:4d1fc073fbb7
add some missing copyright stmts
author | Jaroslav Hajek <highegg@gmail.com> |
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date | Wed, 14 Apr 2010 12:23:13 +0200 |
parents | 5dd7a7bf4950 |
children | c48b7048e720 |
rev | line source |
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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> | |
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33 #include <functional> |
5164 | 34 |
35 #include "quit.h" | |
36 #include "lo-ieee.h" | |
37 #include "lo-mappers.h" | |
38 #include "f77-fcn.h" | |
39 #include "dRowVector.h" | |
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40 #include "oct-locbuf.h" |
5164 | 41 |
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42 #include "dDiagMatrix.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 "SparsedbleLU.h" | |
5785 | 49 #include "MatrixType.h" |
5451 | 50 #include "oct-sparse.h" |
5506 | 51 #include "sparse-util.h" |
52 #include "SparsedbleCHOL.h" | |
5610 | 53 #include "SparseQR.h" |
5164 | 54 |
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55 #include "Sparse-diag-op-defs.h" |
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56 |
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57 #include "Sparse-perm-op-defs.h" |
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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 | |
6242 | 70 F77_FUNC (dgbtrf, DGBTRF) (const octave_idx_type&, const octave_idx_type&, |
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71 const octave_idx_type&, const octave_idx_type&, |
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72 double*, const octave_idx_type&, |
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73 octave_idx_type*, octave_idx_type&); |
5164 | 74 |
75 F77_RET_T | |
5275 | 76 F77_FUNC (dgbtrs, DGBTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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77 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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78 const double*, const octave_idx_type&, |
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79 const octave_idx_type*, double*, const octave_idx_type&, octave_idx_type& |
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80 F77_CHAR_ARG_LEN_DECL); |
5164 | 81 |
82 F77_RET_T | |
5275 | 83 F77_FUNC (dgbcon, DGBCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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84 const octave_idx_type&, const octave_idx_type&, double*, |
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85 const octave_idx_type&, const octave_idx_type*, const double&, |
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86 double&, double*, octave_idx_type*, octave_idx_type& |
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87 F77_CHAR_ARG_LEN_DECL); |
5164 | 88 |
89 F77_RET_T | |
5275 | 90 F77_FUNC (dpbtrf, DPBTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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91 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& |
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92 F77_CHAR_ARG_LEN_DECL); |
5164 | 93 |
94 F77_RET_T | |
5275 | 95 F77_FUNC (dpbtrs, DPBTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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96 const octave_idx_type&, const octave_idx_type&, double*, const octave_idx_type&, |
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97 double*, const octave_idx_type&, octave_idx_type& |
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98 F77_CHAR_ARG_LEN_DECL); |
5164 | 99 |
100 F77_RET_T | |
5275 | 101 F77_FUNC (dpbcon, DPBCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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102 const octave_idx_type&, double*, const octave_idx_type&, |
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103 const double&, double&, double*, octave_idx_type*, octave_idx_type& |
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104 F77_CHAR_ARG_LEN_DECL); |
5164 | 105 F77_RET_T |
5275 | 106 F77_FUNC (dptsv, DPTSV) (const octave_idx_type&, const octave_idx_type&, double*, double*, |
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107 double*, const octave_idx_type&, octave_idx_type&); |
5164 | 108 |
109 F77_RET_T | |
5275 | 110 F77_FUNC (dgtsv, DGTSV) (const octave_idx_type&, const octave_idx_type&, double*, double*, |
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111 double*, double*, const octave_idx_type&, octave_idx_type&); |
5164 | 112 |
113 F77_RET_T | |
5275 | 114 F77_FUNC (dgttrf, DGTTRF) (const octave_idx_type&, double*, double*, double*, double*, |
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115 octave_idx_type*, octave_idx_type&); |
5164 | 116 |
117 F77_RET_T | |
5275 | 118 F77_FUNC (dgttrs, DGTTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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119 const octave_idx_type&, const double*, const double*, |
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120 const double*, const double*, const octave_idx_type*, |
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121 double *, const octave_idx_type&, octave_idx_type& |
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122 F77_CHAR_ARG_LEN_DECL); |
5164 | 123 |
124 F77_RET_T | |
5322 | 125 F77_FUNC (zptsv, ZPTSV) (const octave_idx_type&, const octave_idx_type&, double*, Complex*, |
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126 Complex*, const octave_idx_type&, octave_idx_type&); |
5164 | 127 |
128 F77_RET_T | |
5275 | 129 F77_FUNC (zgtsv, ZGTSV) (const octave_idx_type&, const octave_idx_type&, Complex*, Complex*, |
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130 Complex*, Complex*, const octave_idx_type&, octave_idx_type&); |
5164 | 131 |
132 } | |
133 | |
134 SparseMatrix::SparseMatrix (const SparseBoolMatrix &a) | |
5681 | 135 : MSparse<double> (a.rows (), a.cols (), a.nnz ()) |
5164 | 136 { |
5275 | 137 octave_idx_type nc = cols (); |
5681 | 138 octave_idx_type nz = a.nnz (); |
5275 | 139 |
140 for (octave_idx_type i = 0; i < nc + 1; i++) | |
5164 | 141 cidx (i) = a.cidx (i); |
142 | |
5275 | 143 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 144 { |
145 data (i) = a.data (i); | |
146 ridx (i) = a.ridx (i); | |
147 } | |
148 } | |
149 | |
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150 SparseMatrix::SparseMatrix (const DiagMatrix& a) |
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151 : MSparse<double> (a.rows (), a.cols (), a.length ()) |
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152 { |
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153 octave_idx_type j = 0, l = a.length (); |
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154 for (octave_idx_type i = 0; i < l; i++) |
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155 { |
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156 cidx (i) = j; |
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157 if (a(i, i) != 0.0) |
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158 { |
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159 data (j) = a(i, i); |
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160 ridx (j) = i; |
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161 j++; |
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162 } |
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163 } |
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164 for (octave_idx_type i = l; i <= a.cols (); i++) |
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165 cidx(i) = j; |
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166 } |
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167 |
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168 SparseMatrix::SparseMatrix (const PermMatrix& a) |
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169 : MSparse<double> (a.rows (), a.cols (), a.rows ()) |
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170 { |
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171 octave_idx_type n = a.rows (); |
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172 for (octave_idx_type i = 0; i <= n; i++) |
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173 cidx (i) = i; |
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174 const Array<octave_idx_type> pv = a.pvec (); |
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175 |
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176 if (a.is_row_perm ()) |
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177 { |
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178 for (octave_idx_type i = 0; i < n; i++) |
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179 ridx (pv (i)) = i; |
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180 } |
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181 else |
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182 { |
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183 for (octave_idx_type i = 0; i < n; i++) |
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184 ridx (i) = pv (i); |
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185 } |
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186 |
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187 for (octave_idx_type i = 0; i < n; i++) |
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188 data (i) = 1.0; |
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189 } |
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190 |
5164 | 191 bool |
192 SparseMatrix::operator == (const SparseMatrix& a) const | |
193 { | |
5275 | 194 octave_idx_type nr = rows (); |
195 octave_idx_type nc = cols (); | |
5681 | 196 octave_idx_type nz = nnz (); |
5275 | 197 octave_idx_type nr_a = a.rows (); |
198 octave_idx_type nc_a = a.cols (); | |
5681 | 199 octave_idx_type nz_a = a.nnz (); |
5164 | 200 |
201 if (nr != nr_a || nc != nc_a || nz != nz_a) | |
202 return false; | |
203 | |
5275 | 204 for (octave_idx_type i = 0; i < nc + 1; i++) |
5164 | 205 if (cidx(i) != a.cidx(i)) |
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206 return false; |
5164 | 207 |
5275 | 208 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 209 if (data(i) != a.data(i) || ridx(i) != a.ridx(i)) |
210 return false; | |
211 | |
212 return true; | |
213 } | |
214 | |
215 bool | |
216 SparseMatrix::operator != (const SparseMatrix& a) const | |
217 { | |
218 return !(*this == a); | |
219 } | |
220 | |
221 bool | |
222 SparseMatrix::is_symmetric (void) const | |
223 { | |
6207 | 224 octave_idx_type nr = rows (); |
225 octave_idx_type nc = cols (); | |
226 | |
227 if (nr == nc && nr > 0) | |
5164 | 228 { |
6207 | 229 for (octave_idx_type j = 0; j < nc; j++) |
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230 { |
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231 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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232 { |
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233 octave_idx_type ri = ridx(i); |
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234 |
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235 if (ri != j) |
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236 { |
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237 bool found = false; |
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238 |
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239 for (octave_idx_type k = cidx(ri); k < cidx(ri+1); k++) |
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240 { |
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241 if (ridx(k) == j) |
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242 { |
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243 if (data(i) == data(k)) |
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244 found = true; |
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245 break; |
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246 } |
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247 } |
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248 |
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249 if (! found) |
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250 return false; |
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251 } |
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252 } |
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253 } |
5164 | 254 |
255 return true; | |
256 } | |
257 | |
258 return false; | |
259 } | |
260 | |
261 SparseMatrix& | |
5275 | 262 SparseMatrix::insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c) |
5164 | 263 { |
264 MSparse<double>::insert (a, r, c); | |
265 return *this; | |
266 } | |
267 | |
6823 | 268 SparseMatrix& |
269 SparseMatrix::insert (const SparseMatrix& a, const Array<octave_idx_type>& indx) | |
270 { | |
271 MSparse<double>::insert (a, indx); | |
272 return *this; | |
273 } | |
274 | |
5164 | 275 SparseMatrix |
276 SparseMatrix::max (int dim) const | |
277 { | |
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278 Array<octave_idx_type> dummy_idx; |
5164 | 279 return max (dummy_idx, dim); |
280 } | |
281 | |
282 SparseMatrix | |
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283 SparseMatrix::max (Array<octave_idx_type>& idx_arg, int dim) const |
5164 | 284 { |
285 SparseMatrix result; | |
286 dim_vector dv = dims (); | |
287 | |
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288 if (dv.numel () == 0 || dim >= dv.length ()) |
5164 | 289 return result; |
290 | |
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291 if (dim < 0) |
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292 dim = dv.first_non_singleton (); |
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293 |
5275 | 294 octave_idx_type nr = dv(0); |
295 octave_idx_type nc = dv(1); | |
5164 | 296 |
297 if (dim == 0) | |
298 { | |
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299 idx_arg.clear (1, nc); |
5275 | 300 octave_idx_type nel = 0; |
301 for (octave_idx_type j = 0; j < nc; j++) | |
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302 { |
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303 double tmp_max = octave_NaN; |
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304 octave_idx_type idx_j = 0; |
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305 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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306 { |
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307 if (ridx(i) != idx_j) |
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308 break; |
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309 else |
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310 idx_j++; |
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311 } |
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312 |
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313 if (idx_j != nr) |
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314 tmp_max = 0.; |
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315 |
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316 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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317 { |
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318 double tmp = data (i); |
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319 |
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320 if (xisnan (tmp)) |
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321 continue; |
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322 else if (xisnan (tmp_max) || tmp > tmp_max) |
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323 { |
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324 idx_j = ridx (i); |
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325 tmp_max = tmp; |
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326 } |
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327 |
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328 } |
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329 |
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330 idx_arg.elem (j) = xisnan (tmp_max) ? 0 : idx_j; |
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331 if (tmp_max != 0.) |
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332 nel++; |
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333 } |
5164 | 334 |
335 result = SparseMatrix (1, nc, nel); | |
336 | |
5275 | 337 octave_idx_type ii = 0; |
5164 | 338 result.xcidx (0) = 0; |
5275 | 339 for (octave_idx_type j = 0; j < nc; j++) |
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340 { |
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341 double tmp = elem (idx_arg(j), j); |
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342 if (tmp != 0.) |
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343 { |
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344 result.xdata (ii) = tmp; |
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345 result.xridx (ii++) = 0; |
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346 } |
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347 result.xcidx (j+1) = ii; |
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348 |
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349 } |
5164 | 350 } |
351 else | |
352 { | |
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353 idx_arg.resize (nr, 1, 0); |
5164 | 354 |
5275 | 355 for (octave_idx_type i = cidx(0); i < cidx(1); i++) |
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356 idx_arg.elem(ridx(i)) = -1; |
5164 | 357 |
5275 | 358 for (octave_idx_type j = 0; j < nc; j++) |
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359 for (octave_idx_type i = 0; i < nr; i++) |
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360 { |
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361 if (idx_arg.elem(i) != -1) |
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362 continue; |
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363 bool found = false; |
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364 for (octave_idx_type k = cidx(j); k < cidx(j+1); k++) |
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365 if (ridx(k) == i) |
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366 { |
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367 found = true; |
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368 break; |
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369 } |
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370 |
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371 if (!found) |
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372 idx_arg.elem(i) = j; |
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373 |
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374 } |
5164 | 375 |
5275 | 376 for (octave_idx_type j = 0; j < nc; j++) |
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377 { |
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378 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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379 { |
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380 octave_idx_type ir = ridx (i); |
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381 octave_idx_type ix = idx_arg.elem (ir); |
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382 double tmp = data (i); |
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383 |
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384 if (xisnan (tmp)) |
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385 continue; |
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386 else if (ix == -1 || tmp > elem (ir, ix)) |
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387 idx_arg.elem (ir) = j; |
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388 } |
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389 } |
5164 | 390 |
5275 | 391 octave_idx_type nel = 0; |
392 for (octave_idx_type j = 0; j < nr; j++) | |
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393 if (idx_arg.elem(j) == -1 || elem (j, idx_arg.elem (j)) != 0.) |
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394 nel++; |
5164 | 395 |
396 result = SparseMatrix (nr, 1, nel); | |
397 | |
5275 | 398 octave_idx_type ii = 0; |
5164 | 399 result.xcidx (0) = 0; |
400 result.xcidx (1) = nel; | |
5275 | 401 for (octave_idx_type j = 0; j < nr; j++) |
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402 { |
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403 if (idx_arg(j) == -1) |
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404 { |
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405 idx_arg(j) = 0; |
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406 result.xdata (ii) = octave_NaN; |
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407 result.xridx (ii++) = j; |
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408 } |
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409 else |
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410 { |
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411 double tmp = elem (j, idx_arg(j)); |
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412 if (tmp != 0.) |
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413 { |
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414 result.xdata (ii) = tmp; |
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415 result.xridx (ii++) = j; |
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416 } |
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417 } |
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418 } |
5164 | 419 } |
420 | |
421 return result; | |
422 } | |
423 | |
424 SparseMatrix | |
425 SparseMatrix::min (int dim) const | |
426 { | |
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427 Array<octave_idx_type> dummy_idx; |
5164 | 428 return min (dummy_idx, dim); |
429 } | |
430 | |
431 SparseMatrix | |
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432 SparseMatrix::min (Array<octave_idx_type>& idx_arg, int dim) const |
5164 | 433 { |
434 SparseMatrix result; | |
435 dim_vector dv = dims (); | |
436 | |
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437 if (dv.numel () == 0 || dim >= dv.length ()) |
5164 | 438 return result; |
439 | |
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440 if (dim < 0) |
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441 dim = dv.first_non_singleton (); |
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442 |
5275 | 443 octave_idx_type nr = dv(0); |
444 octave_idx_type nc = dv(1); | |
5164 | 445 |
446 if (dim == 0) | |
447 { | |
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448 idx_arg.clear (1, nc); |
5275 | 449 octave_idx_type nel = 0; |
450 for (octave_idx_type j = 0; j < nc; j++) | |
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451 { |
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452 double tmp_min = octave_NaN; |
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453 octave_idx_type idx_j = 0; |
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454 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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455 { |
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456 if (ridx(i) != idx_j) |
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457 break; |
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458 else |
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459 idx_j++; |
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460 } |
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461 |
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462 if (idx_j != nr) |
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463 tmp_min = 0.; |
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464 |
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465 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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466 { |
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467 double tmp = data (i); |
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468 |
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469 if (xisnan (tmp)) |
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470 continue; |
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471 else if (xisnan (tmp_min) || tmp < tmp_min) |
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472 { |
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473 idx_j = ridx (i); |
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474 tmp_min = tmp; |
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475 } |
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476 |
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477 } |
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478 |
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479 idx_arg.elem (j) = xisnan (tmp_min) ? 0 : idx_j; |
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480 if (tmp_min != 0.) |
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481 nel++; |
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482 } |
5164 | 483 |
484 result = SparseMatrix (1, nc, nel); | |
485 | |
5275 | 486 octave_idx_type ii = 0; |
5164 | 487 result.xcidx (0) = 0; |
5275 | 488 for (octave_idx_type j = 0; j < nc; j++) |
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489 { |
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490 double tmp = elem (idx_arg(j), j); |
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491 if (tmp != 0.) |
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492 { |
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493 result.xdata (ii) = tmp; |
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494 result.xridx (ii++) = 0; |
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495 } |
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496 result.xcidx (j+1) = ii; |
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497 |
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498 } |
5164 | 499 } |
500 else | |
501 { | |
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502 idx_arg.resize (nr, 1, 0); |
5164 | 503 |
5275 | 504 for (octave_idx_type i = cidx(0); i < cidx(1); i++) |
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505 idx_arg.elem(ridx(i)) = -1; |
5164 | 506 |
5275 | 507 for (octave_idx_type j = 0; j < nc; j++) |
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508 for (octave_idx_type i = 0; i < nr; i++) |
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509 { |
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510 if (idx_arg.elem(i) != -1) |
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511 continue; |
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512 bool found = false; |
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513 for (octave_idx_type k = cidx(j); k < cidx(j+1); k++) |
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514 if (ridx(k) == i) |
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515 { |
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516 found = true; |
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517 break; |
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518 } |
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519 |
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520 if (!found) |
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521 idx_arg.elem(i) = j; |
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522 |
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523 } |
5164 | 524 |
5275 | 525 for (octave_idx_type j = 0; j < nc; j++) |
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526 { |
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527 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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528 { |
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529 octave_idx_type ir = ridx (i); |
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530 octave_idx_type ix = idx_arg.elem (ir); |
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531 double tmp = data (i); |
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532 |
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533 if (xisnan (tmp)) |
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534 continue; |
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535 else if (ix == -1 || tmp < elem (ir, ix)) |
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536 idx_arg.elem (ir) = j; |
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537 } |
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538 } |
5164 | 539 |
5275 | 540 octave_idx_type nel = 0; |
541 for (octave_idx_type j = 0; j < nr; j++) | |
10314
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542 if (idx_arg.elem(j) == -1 || elem (j, idx_arg.elem (j)) != 0.) |
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543 nel++; |
5164 | 544 |
545 result = SparseMatrix (nr, 1, nel); | |
546 | |
5275 | 547 octave_idx_type ii = 0; |
5164 | 548 result.xcidx (0) = 0; |
549 result.xcidx (1) = nel; | |
5275 | 550 for (octave_idx_type j = 0; j < nr; j++) |
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551 { |
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552 if (idx_arg(j) == -1) |
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553 { |
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554 idx_arg(j) = 0; |
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555 result.xdata (ii) = octave_NaN; |
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556 result.xridx (ii++) = j; |
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557 } |
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558 else |
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559 { |
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560 double tmp = elem (j, idx_arg(j)); |
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561 if (tmp != 0.) |
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562 { |
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563 result.xdata (ii) = tmp; |
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564 result.xridx (ii++) = j; |
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565 } |
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566 } |
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567 } |
5164 | 568 } |
569 | |
570 return result; | |
571 } | |
572 | |
8303
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573 RowVector |
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574 SparseMatrix::row (octave_idx_type i) const |
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575 { |
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576 octave_idx_type nc = columns (); |
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577 RowVector retval (nc, 0); |
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578 |
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579 for (octave_idx_type j = 0; j < nc; j++) |
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580 for (octave_idx_type k = cidx (j); k < cidx (j+1); k++) |
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581 { |
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582 if (ridx (k) == i) |
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583 { |
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584 retval(j) = data (k); |
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585 break; |
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586 } |
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587 } |
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588 |
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589 return retval; |
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590 } |
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591 |
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592 ColumnVector |
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593 SparseMatrix::column (octave_idx_type i) const |
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594 { |
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595 octave_idx_type nr = rows (); |
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596 ColumnVector retval (nr); |
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597 |
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598 for (octave_idx_type k = cidx (i); k < cidx (i+1); k++) |
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599 retval(ridx (k)) = data (k); |
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600 |
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601 return retval; |
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602 } |
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603 |
5164 | 604 SparseMatrix |
5275 | 605 SparseMatrix::concat (const SparseMatrix& rb, const Array<octave_idx_type>& ra_idx) |
5164 | 606 { |
607 // Don't use numel to avoid all possiblity of an overflow | |
608 if (rb.rows () > 0 && rb.cols () > 0) | |
609 insert (rb, ra_idx(0), ra_idx(1)); | |
610 return *this; | |
611 } | |
612 | |
613 SparseComplexMatrix | |
5275 | 614 SparseMatrix::concat (const SparseComplexMatrix& rb, const Array<octave_idx_type>& ra_idx) |
5164 | 615 { |
616 SparseComplexMatrix retval (*this); | |
617 if (rb.rows () > 0 && rb.cols () > 0) | |
618 retval.insert (rb, ra_idx(0), ra_idx(1)); | |
619 return retval; | |
620 } | |
621 | |
622 SparseMatrix | |
623 real (const SparseComplexMatrix& a) | |
624 { | |
5275 | 625 octave_idx_type nr = a.rows (); |
626 octave_idx_type nc = a.cols (); | |
5681 | 627 octave_idx_type nz = a.nnz (); |
5164 | 628 SparseMatrix r (nr, nc, nz); |
629 | |
5275 | 630 for (octave_idx_type i = 0; i < nc +1; i++) |
5164 | 631 r.cidx(i) = a.cidx(i); |
632 | |
5275 | 633 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 634 { |
5261 | 635 r.data(i) = std::real (a.data(i)); |
5164 | 636 r.ridx(i) = a.ridx(i); |
637 } | |
638 | |
639 return r; | |
640 } | |
641 | |
642 SparseMatrix | |
643 imag (const SparseComplexMatrix& a) | |
644 { | |
5275 | 645 octave_idx_type nr = a.rows (); |
646 octave_idx_type nc = a.cols (); | |
5681 | 647 octave_idx_type nz = a.nnz (); |
5164 | 648 SparseMatrix r (nr, nc, nz); |
649 | |
5275 | 650 for (octave_idx_type i = 0; i < nc +1; i++) |
5164 | 651 r.cidx(i) = a.cidx(i); |
652 | |
5275 | 653 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 654 { |
5261 | 655 r.data(i) = std::imag (a.data(i)); |
5164 | 656 r.ridx(i) = a.ridx(i); |
657 } | |
658 | |
659 return r; | |
660 } | |
661 | |
662 SparseMatrix | |
663 atan2 (const double& x, const SparseMatrix& y) | |
664 { | |
5275 | 665 octave_idx_type nr = y.rows (); |
666 octave_idx_type nc = y.cols (); | |
5164 | 667 |
668 if (x == 0.) | |
669 return SparseMatrix (nr, nc); | |
670 else | |
671 { | |
672 // Its going to be basically full, so this is probably the | |
673 // best way to handle it. | |
674 Matrix tmp (nr, nc, atan2 (x, 0.)); | |
675 | |
5275 | 676 for (octave_idx_type j = 0; j < nc; j++) |
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677 for (octave_idx_type i = y.cidx (j); i < y.cidx (j+1); i++) |
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678 tmp.elem (y.ridx(i), j) = atan2 (x, y.data(i)); |
5164 | 679 |
680 return SparseMatrix (tmp); | |
681 } | |
682 } | |
683 | |
684 SparseMatrix | |
685 atan2 (const SparseMatrix& x, const double& y) | |
686 { | |
5275 | 687 octave_idx_type nr = x.rows (); |
688 octave_idx_type nc = x.cols (); | |
5681 | 689 octave_idx_type nz = x.nnz (); |
5164 | 690 |
691 SparseMatrix retval (nr, nc, nz); | |
692 | |
5275 | 693 octave_idx_type ii = 0; |
5164 | 694 retval.xcidx(0) = 0; |
5275 | 695 for (octave_idx_type i = 0; i < nc; i++) |
5164 | 696 { |
5275 | 697 for (octave_idx_type j = x.cidx(i); j < x.cidx(i+1); j++) |
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698 { |
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699 double tmp = atan2 (x.data(j), y); |
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700 if (tmp != 0.) |
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701 { |
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702 retval.xdata (ii) = tmp; |
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703 retval.xridx (ii++) = x.ridx (j); |
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704 } |
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705 } |
5164 | 706 retval.xcidx (i+1) = ii; |
707 } | |
708 | |
709 if (ii != nz) | |
710 { | |
711 SparseMatrix retval2 (nr, nc, ii); | |
5275 | 712 for (octave_idx_type i = 0; i < nc+1; i++) |
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713 retval2.xcidx (i) = retval.cidx (i); |
5275 | 714 for (octave_idx_type i = 0; i < ii; i++) |
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715 { |
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716 retval2.xdata (i) = retval.data (i); |
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717 retval2.xridx (i) = retval.ridx (i); |
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718 } |
5164 | 719 return retval2; |
720 } | |
721 else | |
722 return retval; | |
723 } | |
724 | |
725 SparseMatrix | |
726 atan2 (const SparseMatrix& x, const SparseMatrix& y) | |
727 { | |
728 SparseMatrix r; | |
729 | |
730 if ((x.rows() == y.rows()) && (x.cols() == y.cols())) | |
731 { | |
5275 | 732 octave_idx_type x_nr = x.rows (); |
733 octave_idx_type x_nc = x.cols (); | |
734 | |
735 octave_idx_type y_nr = y.rows (); | |
736 octave_idx_type y_nc = y.cols (); | |
5164 | 737 |
738 if (x_nr != y_nr || x_nc != y_nc) | |
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739 gripe_nonconformant ("atan2", x_nr, x_nc, y_nr, y_nc); |
5164 | 740 else |
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741 { |
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742 r = SparseMatrix (x_nr, x_nc, (x.nnz () + y.nnz ())); |
5164 | 743 |
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744 octave_idx_type jx = 0; |
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745 r.cidx (0) = 0; |
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746 for (octave_idx_type i = 0 ; i < x_nc ; i++) |
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747 { |
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748 octave_idx_type ja = x.cidx(i); |
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749 octave_idx_type ja_max = x.cidx(i+1); |
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750 bool ja_lt_max= ja < ja_max; |
5164 | 751 |
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752 octave_idx_type jb = y.cidx(i); |
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753 octave_idx_type jb_max = y.cidx(i+1); |
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754 bool jb_lt_max = jb < jb_max; |
5164 | 755 |
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756 while (ja_lt_max || jb_lt_max ) |
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757 { |
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758 octave_quit (); |
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759 if ((! jb_lt_max) || |
5164 | 760 (ja_lt_max && (x.ridx(ja) < y.ridx(jb)))) |
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761 { |
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762 r.ridx(jx) = x.ridx(ja); |
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763 r.data(jx) = atan2 (x.data(ja), 0.); |
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764 jx++; |
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765 ja++; |
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766 ja_lt_max= ja < ja_max; |
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767 } |
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768 else if (( !ja_lt_max ) || |
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769 (jb_lt_max && (y.ridx(jb) < x.ridx(ja)) ) ) |
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770 { |
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771 jb++; |
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772 jb_lt_max= jb < jb_max; |
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773 } |
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774 else |
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775 { |
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776 double tmp = atan2 (x.data(ja), y.data(jb)); |
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777 if (tmp != 0.) |
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778 { |
5164 | 779 r.data(jx) = tmp; |
780 r.ridx(jx) = x.ridx(ja); | |
781 jx++; | |
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782 } |
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783 ja++; |
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784 ja_lt_max= ja < ja_max; |
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785 jb++; |
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786 jb_lt_max= jb < jb_max; |
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787 } |
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788 } |
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789 r.cidx(i+1) = jx; |
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790 } |
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791 |
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792 r.maybe_compress (); |
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793 } |
5164 | 794 } |
795 else | |
796 (*current_liboctave_error_handler) ("matrix size mismatch"); | |
797 | |
798 return r; | |
799 } | |
800 | |
801 SparseMatrix | |
802 SparseMatrix::inverse (void) const | |
803 { | |
5275 | 804 octave_idx_type info; |
5164 | 805 double rcond; |
5785 | 806 MatrixType mattype (*this); |
5506 | 807 return inverse (mattype, info, rcond, 0, 0); |
808 } | |
809 | |
810 SparseMatrix | |
5785 | 811 SparseMatrix::inverse (MatrixType& mattype) const |
5506 | 812 { |
813 octave_idx_type info; | |
814 double rcond; | |
815 return inverse (mattype, info, rcond, 0, 0); | |
5164 | 816 } |
817 | |
818 SparseMatrix | |
5785 | 819 SparseMatrix::inverse (MatrixType& mattype, octave_idx_type& info) const |
5164 | 820 { |
821 double rcond; | |
5506 | 822 return inverse (mattype, info, rcond, 0, 0); |
823 } | |
824 | |
825 SparseMatrix | |
5785 | 826 SparseMatrix::dinverse (MatrixType &mattyp, octave_idx_type& info, |
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827 double& rcond, const bool, |
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828 const bool calccond) const |
5506 | 829 { |
830 SparseMatrix retval; | |
831 | |
832 octave_idx_type nr = rows (); | |
833 octave_idx_type nc = cols (); | |
834 info = 0; | |
835 | |
836 if (nr == 0 || nc == 0 || nr != nc) | |
837 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
838 else | |
839 { | |
840 // Print spparms("spumoni") info if requested | |
841 int typ = mattyp.type (); | |
842 mattyp.info (); | |
843 | |
5785 | 844 if (typ == MatrixType::Diagonal || |
10314
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845 typ == MatrixType::Permuted_Diagonal) |
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846 { |
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|
847 if (typ == MatrixType::Permuted_Diagonal) |
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untabify liboctave C++ sources
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|
848 retval = transpose(); |
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|
849 else |
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|
850 retval = *this; |
07ebe522dac2
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|
851 |
07ebe522dac2
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|
852 // Force make_unique to be called |
07ebe522dac2
untabify liboctave C++ sources
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|
853 double *v = retval.data(); |
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|
854 |
07ebe522dac2
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diff
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|
855 if (calccond) |
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diff
changeset
|
856 { |
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|
857 double dmax = 0., dmin = octave_Inf; |
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untabify liboctave C++ sources
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|
858 for (octave_idx_type i = 0; i < nr; i++) |
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|
859 { |
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untabify liboctave C++ sources
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|
860 double tmp = fabs(v[i]); |
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untabify liboctave C++ sources
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|
861 if (tmp > dmax) |
07ebe522dac2
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|
862 dmax = tmp; |
07ebe522dac2
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diff
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|
863 if (tmp < dmin) |
07ebe522dac2
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diff
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|
864 dmin = tmp; |
07ebe522dac2
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diff
changeset
|
865 } |
07ebe522dac2
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diff
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|
866 rcond = dmin / dmax; |
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diff
changeset
|
867 } |
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changeset
|
868 |
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|
869 for (octave_idx_type i = 0; i < nr; i++) |
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untabify liboctave C++ sources
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changeset
|
870 v[i] = 1.0 / v[i]; |
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untabify liboctave C++ sources
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|
871 } |
5506 | 872 else |
10314
07ebe522dac2
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|
873 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5506 | 874 } |
875 | |
876 return retval; | |
877 } | |
878 | |
879 SparseMatrix | |
5785 | 880 SparseMatrix::tinverse (MatrixType &mattyp, octave_idx_type& info, |
10314
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881 double& rcond, const bool, |
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untabify liboctave C++ sources
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diff
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|
882 const bool calccond) const |
5506 | 883 { |
884 SparseMatrix retval; | |
885 | |
886 octave_idx_type nr = rows (); | |
887 octave_idx_type nc = cols (); | |
888 info = 0; | |
889 | |
890 if (nr == 0 || nc == 0 || nr != nc) | |
891 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
892 else | |
893 { | |
894 // Print spparms("spumoni") info if requested | |
895 int typ = mattyp.type (); | |
896 mattyp.info (); | |
897 | |
5785 | 898 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper || |
10314
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|
899 typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
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untabify liboctave C++ sources
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10158
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changeset
|
900 { |
07ebe522dac2
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10158
diff
changeset
|
901 double anorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
902 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
903 |
07ebe522dac2
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diff
changeset
|
904 if (calccond) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
905 { |
07ebe522dac2
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diff
changeset
|
906 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
907 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
908 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
909 double atmp = 0.; |
07ebe522dac2
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10158
diff
changeset
|
910 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
911 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
912 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
913 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
914 } |
07ebe522dac2
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10158
diff
changeset
|
915 } |
07ebe522dac2
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10158
diff
changeset
|
916 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
917 if (typ == MatrixType::Upper || typ == MatrixType::Lower) |
07ebe522dac2
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10158
diff
changeset
|
918 { |
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untabify liboctave C++ sources
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diff
changeset
|
919 octave_idx_type nz = nnz (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
920 octave_idx_type cx = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
921 octave_idx_type nz2 = nz; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
922 retval = SparseMatrix (nr, nc, nz2); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
923 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
924 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
925 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
926 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
927 // place the 1 in the identity position |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
928 octave_idx_type cx_colstart = cx; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
929 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
930 if (cx == nz2) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
931 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
932 nz2 *= 2; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
933 retval.change_capacity (nz2); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
934 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
935 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
936 retval.xcidx(i) = cx; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
937 retval.xridx(cx) = i; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
938 retval.xdata(cx) = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
939 cx++; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
940 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
941 // iterate accross columns of input matrix |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
942 for (octave_idx_type j = i+1; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
943 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
944 double v = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
945 // iterate to calculate sum |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
946 octave_idx_type colXp = retval.xcidx(i); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
947 octave_idx_type colUp = cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
948 octave_idx_type rpX, rpU; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
949 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
950 if (cidx(j) == cidx(j+1)) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
951 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
952 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
953 ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
954 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
955 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
956 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
957 do |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
958 { |
07ebe522dac2
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10158
diff
changeset
|
959 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
960 rpX = retval.xridx(colXp); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
961 rpU = ridx(colUp); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
962 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
963 if (rpX < rpU) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
964 colXp++; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
965 else if (rpX > rpU) |
07ebe522dac2
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10158
diff
changeset
|
966 colUp++; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
967 else |
07ebe522dac2
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10158
diff
changeset
|
968 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
969 v -= retval.xdata(colXp) * data(colUp); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
970 colXp++; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
971 colUp++; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
972 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
973 } while ((rpX<j) && (rpU<j) && |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
974 (colXp<cx) && (colUp<nz)); |
07ebe522dac2
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10158
diff
changeset
|
975 |
07ebe522dac2
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10158
diff
changeset
|
976 // get A(m,m) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
977 if (typ == MatrixType::Upper) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
978 colUp = cidx(j+1) - 1; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
979 else |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
980 colUp = cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
981 double pivot = data(colUp); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
982 if (pivot == 0. || ridx(colUp) != j) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
983 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
984 (*current_liboctave_error_handler) |
07ebe522dac2
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parents:
10158
diff
changeset
|
985 ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
986 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
987 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
988 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
989 if (v != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
990 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
991 if (cx == nz2) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
992 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
993 nz2 *= 2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
994 retval.change_capacity (nz2); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
995 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
996 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
997 retval.xridx(cx) = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
998 retval.xdata(cx) = v / pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
999 cx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1000 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1001 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1002 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1003 // get A(m,m) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1004 octave_idx_type colUp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1005 if (typ == MatrixType::Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1006 colUp = cidx(i+1) - 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1007 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1008 colUp = cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1009 double pivot = data(colUp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1010 if (pivot == 0. || ridx(colUp) != i) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1011 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1012 (*current_liboctave_error_handler) ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1013 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1014 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1015 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1016 if (pivot != 1.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1017 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
|
1018 retval.xdata(j) /= pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1019 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1020 retval.xcidx(nr) = cx; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1021 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1022 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1023 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1024 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1025 octave_idx_type nz = nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1026 octave_idx_type cx = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1027 octave_idx_type nz2 = nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1028 retval = SparseMatrix (nr, nc, nz2); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1029 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1030 OCTAVE_LOCAL_BUFFER (double, work, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1031 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1032 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1033 octave_idx_type *perm = mattyp.triangular_perm(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1034 if (typ == MatrixType::Permuted_Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1035 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1036 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1037 rperm[perm[i]] = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1038 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1039 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1040 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1041 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1042 rperm[i] = perm[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1043 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1044 perm[rperm[i]] = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1045 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1046 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1047 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1048 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1049 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1050 octave_idx_type iidx = rperm[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1051 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1052 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1053 work[j] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1054 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1055 // place the 1 in the identity position |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1056 work[iidx] = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1057 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1058 // iterate accross columns of input matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1059 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
|
1060 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1061 double v = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1062 octave_idx_type jidx = perm[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1063 // iterate to calculate sum |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1064 for (octave_idx_type k = cidx(jidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1065 k < cidx(jidx+1); k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1066 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1067 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1068 v -= work[ridx(k)] * data(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1069 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1070 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1071 // get A(m,m) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1072 double pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1073 if (typ == MatrixType::Permuted_Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1074 pivot = data(cidx(jidx+1) - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1075 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1076 pivot = data(cidx(jidx)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1077 if (pivot == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1078 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1079 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1080 ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1081 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1082 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1083 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1084 work[j] = v / pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1085 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1086 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1087 // get A(m,m) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1088 octave_idx_type colUp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1089 if (typ == MatrixType::Permuted_Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1090 colUp = cidx(perm[iidx]+1) - 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1091 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1092 colUp = cidx(perm[iidx]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1093 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1094 double pivot = data(colUp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1095 if (pivot == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1096 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1097 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1098 ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1099 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1100 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1101 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1102 octave_idx_type new_cx = cx; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1103 for (octave_idx_type j = iidx; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1104 if (work[j] != 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1105 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1106 new_cx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1107 if (pivot != 1.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1108 work[j] /= pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1109 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1110 |
07ebe522dac2
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1111 if (cx < new_cx) |
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1112 { |
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1113 nz2 = (2*nz2 < new_cx ? new_cx : 2*nz2); |
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1114 retval.change_capacity (nz2); |
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1115 } |
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1116 |
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1117 retval.xcidx(i) = cx; |
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1118 for (octave_idx_type j = iidx; j < nr; j++) |
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1119 if (work[j] != 0.) |
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1120 { |
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1121 retval.xridx(cx) = j; |
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1122 retval.xdata(cx++) = work[j]; |
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1123 } |
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1124 } |
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1125 |
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1126 retval.xcidx(nr) = cx; |
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1127 retval.maybe_compress (); |
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1128 } |
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1129 |
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1130 if (calccond) |
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1131 { |
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1132 // Calculate the 1-norm of inverse matrix for rcond calculation |
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1133 for (octave_idx_type j = 0; j < nr; j++) |
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1134 { |
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1135 double atmp = 0.; |
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1136 for (octave_idx_type i = retval.cidx(j); |
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1137 i < retval.cidx(j+1); i++) |
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1138 atmp += fabs(retval.data(i)); |
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1139 if (atmp > ainvnorm) |
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1140 ainvnorm = atmp; |
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1141 } |
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1142 |
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1143 rcond = 1. / ainvnorm / anorm; |
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1144 } |
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1145 } |
5506 | 1146 else |
10314
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1147 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5506 | 1148 } |
1149 | |
1150 return retval; | |
5876 | 1151 |
1152 inverse_singular: | |
1153 return SparseMatrix(); | |
5164 | 1154 } |
1155 | |
1156 SparseMatrix | |
5785 | 1157 SparseMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
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1158 double& rcond, int, int calc_cond) const |
5506 | 1159 { |
1160 int typ = mattype.type (false); | |
1161 SparseMatrix ret; | |
1162 | |
5785 | 1163 if (typ == MatrixType::Unknown) |
5506 | 1164 typ = mattype.type (*this); |
1165 | |
5785 | 1166 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5506 | 1167 ret = dinverse (mattype, info, rcond, true, calc_cond); |
5785 | 1168 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5506 | 1169 ret = tinverse (mattype, info, rcond, true, calc_cond).transpose(); |
5785 | 1170 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
6185 | 1171 { |
1172 MatrixType newtype = mattype.transpose(); | |
1173 ret = transpose().tinverse (newtype, info, rcond, true, calc_cond); | |
1174 } | |
6840 | 1175 else |
5506 | 1176 { |
1177 if (mattype.is_hermitian()) | |
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1178 { |
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1179 MatrixType tmp_typ (MatrixType::Upper); |
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1180 SparseCHOL fact (*this, info, false); |
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1181 rcond = fact.rcond(); |
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1182 if (info == 0) |
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1183 { |
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1184 double rcond2; |
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1185 SparseMatrix Q = fact.Q(); |
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1186 SparseMatrix InvL = fact.L().transpose().tinverse(tmp_typ, |
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1187 info, rcond2, true, false); |
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1188 ret = Q * InvL.transpose() * InvL * Q.transpose(); |
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1189 } |
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1190 else |
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1191 { |
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1192 // Matrix is either singular or not positive definite |
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1193 mattype.mark_as_unsymmetric (); |
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1194 typ = MatrixType::Full; |
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1195 } |
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1196 } |
5506 | 1197 |
1198 if (!mattype.is_hermitian()) | |
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1199 { |
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1200 octave_idx_type n = rows(); |
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1201 ColumnVector Qinit(n); |
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1202 for (octave_idx_type i = 0; i < n; i++) |
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1203 Qinit(i) = i; |
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1204 |
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1205 MatrixType tmp_typ (MatrixType::Upper); |
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1206 SparseLU fact (*this, Qinit, Matrix(), false, false); |
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1207 rcond = fact.rcond(); |
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1208 double rcond2; |
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1209 SparseMatrix InvL = fact.L().transpose().tinverse(tmp_typ, |
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1210 info, rcond2, true, false); |
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1211 SparseMatrix InvU = fact.U().tinverse(tmp_typ, info, rcond2, |
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1212 true, false).transpose(); |
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1213 ret = fact.Pc().transpose() * InvU * InvL * fact.Pr(); |
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1214 } |
5506 | 1215 } |
1216 | |
1217 return ret; | |
5164 | 1218 } |
1219 | |
1220 DET | |
1221 SparseMatrix::determinant (void) const | |
1222 { | |
5275 | 1223 octave_idx_type info; |
5164 | 1224 double rcond; |
1225 return determinant (info, rcond, 0); | |
1226 } | |
1227 | |
1228 DET | |
5275 | 1229 SparseMatrix::determinant (octave_idx_type& info) const |
5164 | 1230 { |
1231 double rcond; | |
1232 return determinant (info, rcond, 0); | |
1233 } | |
1234 | |
1235 DET | |
5275 | 1236 SparseMatrix::determinant (octave_idx_type& err, double& rcond, int) const |
5164 | 1237 { |
1238 DET retval; | |
1239 | |
5203 | 1240 #ifdef HAVE_UMFPACK |
5275 | 1241 octave_idx_type nr = rows (); |
1242 octave_idx_type nc = cols (); | |
5164 | 1243 |
1244 if (nr == 0 || nc == 0 || nr != nc) | |
1245 { | |
8335 | 1246 retval = DET (1.0); |
5164 | 1247 } |
1248 else | |
1249 { | |
1250 err = 0; | |
1251 | |
1252 // Setup the control parameters | |
1253 Matrix Control (UMFPACK_CONTROL, 1); | |
1254 double *control = Control.fortran_vec (); | |
5322 | 1255 UMFPACK_DNAME (defaults) (control); |
5164 | 1256 |
5893 | 1257 double tmp = octave_sparse_params::get_key ("spumoni"); |
5164 | 1258 if (!xisnan (tmp)) |
10314
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1259 Control (UMFPACK_PRL) = tmp; |
5164 | 1260 |
5893 | 1261 tmp = octave_sparse_params::get_key ("piv_tol"); |
5164 | 1262 if (!xisnan (tmp)) |
10314
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1263 { |
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1264 Control (UMFPACK_SYM_PIVOT_TOLERANCE) = tmp; |
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1265 Control (UMFPACK_PIVOT_TOLERANCE) = tmp; |
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1266 } |
5164 | 1267 |
1268 // Set whether we are allowed to modify Q or not | |
5893 | 1269 tmp = octave_sparse_params::get_key ("autoamd"); |
5164 | 1270 if (!xisnan (tmp)) |
10314
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1271 Control (UMFPACK_FIXQ) = tmp; |
5164 | 1272 |
1273 // Turn-off UMFPACK scaling for LU | |
1274 Control (UMFPACK_SCALE) = UMFPACK_SCALE_NONE; | |
1275 | |
5322 | 1276 UMFPACK_DNAME (report_control) (control); |
5164 | 1277 |
5275 | 1278 const octave_idx_type *Ap = cidx (); |
1279 const octave_idx_type *Ai = ridx (); | |
5164 | 1280 const double *Ax = data (); |
1281 | |
5322 | 1282 UMFPACK_DNAME (report_matrix) (nr, nc, Ap, Ai, Ax, 1, control); |
5164 | 1283 |
1284 void *Symbolic; | |
1285 Matrix Info (1, UMFPACK_INFO); | |
1286 double *info = Info.fortran_vec (); | |
5322 | 1287 int status = UMFPACK_DNAME (qsymbolic) (nr, nc, Ap, Ai, |
10314
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1288 Ax, 0, &Symbolic, control, info); |
5164 | 1289 |
1290 if (status < 0) | |
10314
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1291 { |
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1292 (*current_liboctave_error_handler) |
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1293 ("SparseMatrix::determinant symbolic factorization failed"); |
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1294 |
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1295 UMFPACK_DNAME (report_status) (control, status); |
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1296 UMFPACK_DNAME (report_info) (control, info); |
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1297 |
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1298 UMFPACK_DNAME (free_symbolic) (&Symbolic) ; |
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1299 } |
5164 | 1300 else |
10314
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1301 { |
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1302 UMFPACK_DNAME (report_symbolic) (Symbolic, control); |
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1303 |
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1304 void *Numeric; |
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1305 status = UMFPACK_DNAME (numeric) (Ap, Ai, Ax, Symbolic, |
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1306 &Numeric, control, info) ; |
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1307 UMFPACK_DNAME (free_symbolic) (&Symbolic) ; |
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1308 |
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1309 rcond = Info (UMFPACK_RCOND); |
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1310 |
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1311 if (status < 0) |
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1312 { |
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1313 (*current_liboctave_error_handler) |
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1314 ("SparseMatrix::determinant numeric factorization failed"); |
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1315 |
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1316 UMFPACK_DNAME (report_status) (control, status); |
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1317 UMFPACK_DNAME (report_info) (control, info); |
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1318 |
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1319 UMFPACK_DNAME (free_numeric) (&Numeric); |
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1320 } |
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1321 else |
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1322 { |
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1323 UMFPACK_DNAME (report_numeric) (Numeric, control); |
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1324 |
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1325 double c10, e10; |
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1326 |
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1327 status = UMFPACK_DNAME (get_determinant) (&c10, &e10, Numeric, info); |
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1328 |
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1329 if (status < 0) |
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1330 { |
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1331 (*current_liboctave_error_handler) |
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1332 ("SparseMatrix::determinant error calculating determinant"); |
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1333 |
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1334 UMFPACK_DNAME (report_status) (control, status); |
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1335 UMFPACK_DNAME (report_info) (control, info); |
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1336 } |
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1337 else |
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1338 retval = DET (c10, e10, 10); |
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1339 |
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1340 UMFPACK_DNAME (free_numeric) (&Numeric); |
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1341 } |
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1342 } |
5164 | 1343 } |
5203 | 1344 #else |
1345 (*current_liboctave_error_handler) ("UMFPACK not installed"); | |
1346 #endif | |
5164 | 1347 |
1348 return retval; | |
1349 } | |
1350 | |
1351 Matrix | |
5785 | 1352 SparseMatrix::dsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& err, |
10314
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1353 double& rcond, solve_singularity_handler, |
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1354 bool calc_cond) const |
5164 | 1355 { |
1356 Matrix retval; | |
1357 | |
5275 | 1358 octave_idx_type nr = rows (); |
1359 octave_idx_type nc = cols (); | |
5630 | 1360 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1361 err = 0; |
1362 | |
6924 | 1363 if (nr != b.rows ()) |
5164 | 1364 (*current_liboctave_error_handler) |
1365 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1366 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1367 retval = Matrix (nc, b.cols (), 0.0); | |
5164 | 1368 else |
1369 { | |
1370 // Print spparms("spumoni") info if requested | |
1371 int typ = mattype.type (); | |
1372 mattype.info (); | |
1373 | |
5785 | 1374 if (typ == MatrixType::Diagonal || |
10314
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1375 typ == MatrixType::Permuted_Diagonal) |
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1376 { |
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1377 retval.resize (nc, b.cols(), 0.); |
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1378 if (typ == MatrixType::Diagonal) |
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1379 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1380 for (octave_idx_type i = 0; i < nm; i++) |
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1381 retval(i,j) = b(i,j) / data (i); |
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1382 else |
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1383 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1384 for (octave_idx_type k = 0; k < nc; k++) |
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1385 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
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1386 retval(k,j) = b(ridx(i),j) / data (i); |
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1387 |
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1388 if (calc_cond) |
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1389 { |
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1390 double dmax = 0., dmin = octave_Inf; |
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1391 for (octave_idx_type i = 0; i < nm; i++) |
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1392 { |
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1393 double tmp = fabs(data(i)); |
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1394 if (tmp > dmax) |
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1395 dmax = tmp; |
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1396 if (tmp < dmin) |
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1397 dmin = tmp; |
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1398 } |
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1399 rcond = dmin / dmax; |
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1400 } |
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1401 else |
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1402 rcond = 1.; |
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1403 } |
5164 | 1404 else |
10314
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1405 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1406 } |
1407 | |
1408 return retval; | |
1409 } | |
1410 | |
1411 SparseMatrix | |
5785 | 1412 SparseMatrix::dsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
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1413 octave_idx_type& err, double& rcond, |
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1414 solve_singularity_handler, bool calc_cond) const |
5164 | 1415 { |
1416 SparseMatrix retval; | |
1417 | |
5275 | 1418 octave_idx_type nr = rows (); |
1419 octave_idx_type nc = cols (); | |
5630 | 1420 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1421 err = 0; |
1422 | |
6924 | 1423 if (nr != b.rows ()) |
5164 | 1424 (*current_liboctave_error_handler) |
1425 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1426 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1427 retval = SparseMatrix (nc, b.cols ()); | |
5164 | 1428 else |
1429 { | |
1430 // Print spparms("spumoni") info if requested | |
1431 int typ = mattype.type (); | |
1432 mattype.info (); | |
1433 | |
5785 | 1434 if (typ == MatrixType::Diagonal || |
10314
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1435 typ == MatrixType::Permuted_Diagonal) |
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1436 { |
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1437 octave_idx_type b_nc = b.cols (); |
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1438 octave_idx_type b_nz = b.nnz (); |
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1439 retval = SparseMatrix (nc, b_nc, b_nz); |
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1440 |
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1441 retval.xcidx(0) = 0; |
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1442 octave_idx_type ii = 0; |
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1443 if (typ == MatrixType::Diagonal) |
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1444 for (octave_idx_type j = 0; j < b_nc; j++) |
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1445 { |
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1446 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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1447 { |
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1448 if (b.ridx(i) >= nm) |
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1449 break; |
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1450 retval.xridx (ii) = b.ridx(i); |
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1451 retval.xdata (ii++) = b.data(i) / data (b.ridx (i)); |
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1452 } |
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1453 retval.xcidx(j+1) = ii; |
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1454 } |
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1455 else |
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1456 for (octave_idx_type j = 0; j < b_nc; j++) |
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1457 { |
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1458 for (octave_idx_type l = 0; l < nc; l++) |
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1459 for (octave_idx_type i = cidx(l); i < cidx(l+1); i++) |
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1460 { |
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1461 bool found = false; |
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1462 octave_idx_type k; |
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1463 for (k = b.cidx(j); k < b.cidx(j+1); k++) |
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1464 if (ridx(i) == b.ridx(k)) |
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1465 { |
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1466 found = true; |
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1467 break; |
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1468 } |
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1469 if (found) |
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1470 { |
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1471 retval.xridx (ii) = l; |
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1472 retval.xdata (ii++) = b.data(k) / data (i); |
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1473 } |
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1474 } |
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1475 retval.xcidx(j+1) = ii; |
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1476 } |
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1477 |
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1478 if (calc_cond) |
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1479 { |
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1480 double dmax = 0., dmin = octave_Inf; |
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1481 for (octave_idx_type i = 0; i < nm; i++) |
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1482 { |
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1483 double tmp = fabs(data(i)); |
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1484 if (tmp > dmax) |
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|
1485 dmax = tmp; |
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1486 if (tmp < dmin) |
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|
1487 dmin = tmp; |
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|
1488 } |
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1489 rcond = dmin / dmax; |
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|
1490 } |
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|
1491 else |
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|
1492 rcond = 1.; |
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1493 } |
5164 | 1494 else |
10314
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|
1495 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1496 } |
1497 | |
1498 return retval; | |
1499 } | |
1500 | |
1501 ComplexMatrix | |
5785 | 1502 SparseMatrix::dsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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1503 octave_idx_type& err, double& rcond, |
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1504 solve_singularity_handler, bool calc_cond) const |
5164 | 1505 { |
1506 ComplexMatrix retval; | |
1507 | |
5275 | 1508 octave_idx_type nr = rows (); |
1509 octave_idx_type nc = cols (); | |
5630 | 1510 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1511 err = 0; |
1512 | |
6924 | 1513 if (nr != b.rows ()) |
5164 | 1514 (*current_liboctave_error_handler) |
1515 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1516 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1517 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 1518 else |
1519 { | |
1520 // Print spparms("spumoni") info if requested | |
1521 int typ = mattype.type (); | |
1522 mattype.info (); | |
1523 | |
5785 | 1524 if (typ == MatrixType::Diagonal || |
10314
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1525 typ == MatrixType::Permuted_Diagonal) |
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1526 { |
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1527 retval.resize (nc, b.cols(), 0); |
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1528 if (typ == MatrixType::Diagonal) |
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|
1529 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1530 for (octave_idx_type i = 0; i < nm; i++) |
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1531 retval(i,j) = b(i,j) / data (i); |
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1532 else |
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1533 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1534 for (octave_idx_type k = 0; k < nc; k++) |
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1535 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
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1536 retval(k,j) = b(ridx(i),j) / data (i); |
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1537 |
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1538 if (calc_cond) |
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1539 { |
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1540 double dmax = 0., dmin = octave_Inf; |
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1541 for (octave_idx_type i = 0; i < nm; i++) |
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1542 { |
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1543 double tmp = fabs(data(i)); |
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1544 if (tmp > dmax) |
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|
1545 dmax = tmp; |
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1546 if (tmp < dmin) |
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|
1547 dmin = tmp; |
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|
1548 } |
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1549 rcond = dmin / dmax; |
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|
1550 } |
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|
1551 else |
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|
1552 rcond = 1.; |
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1553 } |
5164 | 1554 else |
10314
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|
1555 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1556 } |
1557 | |
1558 return retval; | |
1559 } | |
1560 | |
1561 SparseComplexMatrix | |
5785 | 1562 SparseMatrix::dsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
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1563 octave_idx_type& err, double& rcond, |
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|
1564 solve_singularity_handler, bool calc_cond) const |
5164 | 1565 { |
1566 SparseComplexMatrix retval; | |
1567 | |
5275 | 1568 octave_idx_type nr = rows (); |
1569 octave_idx_type nc = cols (); | |
5630 | 1570 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1571 err = 0; |
1572 | |
6924 | 1573 if (nr != b.rows ()) |
5164 | 1574 (*current_liboctave_error_handler) |
1575 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1576 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1577 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 1578 else |
1579 { | |
1580 // Print spparms("spumoni") info if requested | |
1581 int typ = mattype.type (); | |
1582 mattype.info (); | |
1583 | |
5785 | 1584 if (typ == MatrixType::Diagonal || |
10314
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|
1585 typ == MatrixType::Permuted_Diagonal) |
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|
1586 { |
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|
1587 octave_idx_type b_nc = b.cols (); |
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|
1588 octave_idx_type b_nz = b.nnz (); |
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|
1589 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
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|
1590 |
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|
1591 retval.xcidx(0) = 0; |
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|
1592 octave_idx_type ii = 0; |
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|
1593 if (typ == MatrixType::Diagonal) |
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|
1594 for (octave_idx_type j = 0; j < b.cols(); j++) |
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|
1595 { |
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|
1596 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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|
1597 { |
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|
1598 if (b.ridx(i) >= nm) |
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|
1599 break; |
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|
1600 retval.xridx (ii) = b.ridx(i); |
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|
1601 retval.xdata (ii++) = b.data(i) / data (b.ridx (i)); |
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|
1602 } |
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|
1603 retval.xcidx(j+1) = ii; |
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|
1604 } |
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|
1605 else |
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|
1606 for (octave_idx_type j = 0; j < b.cols(); j++) |
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|
1607 { |
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|
1608 for (octave_idx_type l = 0; l < nc; l++) |
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|
1609 for (octave_idx_type i = cidx(l); i < cidx(l+1); i++) |
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|
1610 { |
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|
1611 bool found = false; |
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|
1612 octave_idx_type k; |
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1613 for (k = b.cidx(j); k < b.cidx(j+1); k++) |
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1614 if (ridx(i) == b.ridx(k)) |
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1615 { |
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|
1616 found = true; |
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|
1617 break; |
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|
1618 } |
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|
1619 if (found) |
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|
1620 { |
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1621 retval.xridx (ii) = l; |
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1622 retval.xdata (ii++) = b.data(k) / data (i); |
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1623 } |
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|
1624 } |
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1625 retval.xcidx(j+1) = ii; |
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|
1626 } |
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|
1627 |
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1628 if (calc_cond) |
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1629 { |
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1630 double dmax = 0., dmin = octave_Inf; |
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1631 for (octave_idx_type i = 0; i < nm; i++) |
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1632 { |
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1633 double tmp = fabs(data(i)); |
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1634 if (tmp > dmax) |
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|
1635 dmax = tmp; |
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1636 if (tmp < dmin) |
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|
1637 dmin = tmp; |
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|
1638 } |
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1639 rcond = dmin / dmax; |
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|
1640 } |
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|
1641 else |
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|
1642 rcond = 1.; |
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|
1643 } |
5164 | 1644 else |
10314
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|
1645 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1646 } |
1647 | |
1648 return retval; | |
1649 } | |
1650 | |
1651 Matrix | |
5785 | 1652 SparseMatrix::utsolve (MatrixType &mattype, const Matrix& b, |
10314
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untabify liboctave C++ sources
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|
1653 octave_idx_type& err, double& rcond, |
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untabify liboctave C++ sources
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diff
changeset
|
1654 solve_singularity_handler sing_handler, |
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untabify liboctave C++ sources
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diff
changeset
|
1655 bool calc_cond) const |
5164 | 1656 { |
1657 Matrix retval; | |
1658 | |
5275 | 1659 octave_idx_type nr = rows (); |
1660 octave_idx_type nc = cols (); | |
5630 | 1661 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 1662 err = 0; |
1663 | |
6924 | 1664 if (nr != b.rows ()) |
5164 | 1665 (*current_liboctave_error_handler) |
1666 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1667 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1668 retval = Matrix (nc, b.cols (), 0.0); | |
5164 | 1669 else |
1670 { | |
1671 // Print spparms("spumoni") info if requested | |
1672 int typ = mattype.type (); | |
1673 mattype.info (); | |
1674 | |
5785 | 1675 if (typ == MatrixType::Permuted_Upper || |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1676 typ == MatrixType::Upper) |
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untabify liboctave C++ sources
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diff
changeset
|
1677 { |
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untabify liboctave C++ sources
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diff
changeset
|
1678 double anorm = 0.; |
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untabify liboctave C++ sources
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diff
changeset
|
1679 double ainvnorm = 0.; |
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untabify liboctave C++ sources
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diff
changeset
|
1680 octave_idx_type b_nc = b.cols (); |
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untabify liboctave C++ sources
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diff
changeset
|
1681 rcond = 1.; |
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untabify liboctave C++ sources
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diff
changeset
|
1682 |
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untabify liboctave C++ sources
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diff
changeset
|
1683 if (calc_cond) |
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untabify liboctave C++ sources
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diff
changeset
|
1684 { |
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untabify liboctave C++ sources
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diff
changeset
|
1685 // Calculate the 1-norm of matrix for rcond calculation |
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untabify liboctave C++ sources
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diff
changeset
|
1686 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1687 { |
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untabify liboctave C++ sources
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diff
changeset
|
1688 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
1689 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1690 atmp += fabs(data(i)); |
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untabify liboctave C++ sources
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diff
changeset
|
1691 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1692 anorm = atmp; |
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untabify liboctave C++ sources
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diff
changeset
|
1693 } |
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untabify liboctave C++ sources
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diff
changeset
|
1694 } |
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untabify liboctave C++ sources
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diff
changeset
|
1695 |
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untabify liboctave C++ sources
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diff
changeset
|
1696 if (typ == MatrixType::Permuted_Upper) |
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untabify liboctave C++ sources
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diff
changeset
|
1697 { |
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untabify liboctave C++ sources
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diff
changeset
|
1698 retval.resize (nc, b_nc); |
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untabify liboctave C++ sources
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diff
changeset
|
1699 octave_idx_type *perm = mattype.triangular_perm (); |
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untabify liboctave C++ sources
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diff
changeset
|
1700 OCTAVE_LOCAL_BUFFER (double, work, nm); |
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untabify liboctave C++ sources
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diff
changeset
|
1701 |
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untabify liboctave C++ sources
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diff
changeset
|
1702 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1703 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1704 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1705 work[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1706 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
1707 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1708 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1709 for (octave_idx_type k = nc-1; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1710 { |
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untabify liboctave C++ sources
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10158
diff
changeset
|
1711 octave_idx_type kidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1712 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1713 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1714 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1715 if (ridx(cidx(kidx+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1716 data(cidx(kidx+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1717 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1718 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1719 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1720 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1721 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1722 double tmp = work[k] / data(cidx(kidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
1723 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1724 for (octave_idx_type i = cidx(kidx); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1725 i < cidx(kidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1726 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1727 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1728 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1729 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1730 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1731 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1732 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1733 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1734 retval.xelem (perm[i], j) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1735 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1736 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1737 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1738 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1739 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1740 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1741 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1742 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1743 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1744 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1745 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1746 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1747 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1748 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1749 octave_idx_type iidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1750 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1751 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1752 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1753 double tmp = work[k] / data(cidx(iidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1754 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1755 for (octave_idx_type i = cidx(iidx); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1756 i < cidx(iidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1757 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1758 octave_idx_type idx2 = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1759 work[idx2] = work[idx2] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1760 } |
07ebe522dac2
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10158
diff
changeset
|
1761 } |
07ebe522dac2
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diff
changeset
|
1762 } |
07ebe522dac2
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diff
changeset
|
1763 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1764 for (octave_idx_type i = 0; i < j+1; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1765 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1766 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1767 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1768 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1769 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1770 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1771 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1772 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1773 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1774 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1775 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1776 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1777 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1778 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1779 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1780 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1781 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1782 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
|
1783 work[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1784 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1785 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1786 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1787 for (octave_idx_type k = nc-1; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1788 { |
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1789 if (work[k] != 0.) |
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1790 { |
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1791 if (ridx(cidx(k+1)-1) != k || |
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1792 data(cidx(k+1)-1) == 0.) |
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1793 { |
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1794 err = -2; |
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1795 goto triangular_error; |
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|
1796 } |
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1797 |
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1798 double tmp = work[k] / data(cidx(k+1)-1); |
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1799 work[k] = tmp; |
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1800 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
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1801 { |
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1802 octave_idx_type iidx = ridx(i); |
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1803 work[iidx] = work[iidx] - tmp * data(i); |
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1804 } |
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1805 } |
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1806 } |
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1807 |
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1808 for (octave_idx_type i = 0; i < nc; i++) |
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1809 retval.xelem (i, j) = work[i]; |
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1810 } |
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1811 |
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1812 if (calc_cond) |
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1813 { |
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1814 // Calculation of 1-norm of inv(*this) |
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1815 for (octave_idx_type i = 0; i < nm; i++) |
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1816 work[i] = 0.; |
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1817 |
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1818 for (octave_idx_type j = 0; j < nr; j++) |
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1819 { |
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1820 work[j] = 1.; |
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1821 |
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1822 for (octave_idx_type k = j; k >= 0; k--) |
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1823 { |
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1824 if (work[k] != 0.) |
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1825 { |
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1826 double tmp = work[k] / data(cidx(k+1)-1); |
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1827 work[k] = tmp; |
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1828 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
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1829 { |
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1830 octave_idx_type iidx = ridx(i); |
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1831 work[iidx] = work[iidx] - tmp * data(i); |
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1832 } |
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1833 } |
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1834 } |
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1835 double atmp = 0; |
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1836 for (octave_idx_type i = 0; i < j+1; i++) |
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1837 { |
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1838 atmp += fabs(work[i]); |
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1839 work[i] = 0.; |
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1840 } |
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1841 if (atmp > ainvnorm) |
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1842 ainvnorm = atmp; |
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1843 } |
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1844 rcond = 1. / ainvnorm / anorm; |
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1845 } |
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1846 } |
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1847 |
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1848 triangular_error: |
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1849 if (err != 0) |
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1850 { |
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1851 if (sing_handler) |
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1852 { |
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1853 sing_handler (rcond); |
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1854 mattype.mark_as_rectangular (); |
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1855 } |
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1856 else |
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1857 (*current_liboctave_error_handler) |
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1858 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
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1859 rcond); |
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1860 } |
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1861 |
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1862 volatile double rcond_plus_one = rcond + 1.0; |
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1863 |
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1864 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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1865 { |
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1866 err = -2; |
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1867 |
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1868 if (sing_handler) |
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1869 { |
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1870 sing_handler (rcond); |
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1871 mattype.mark_as_rectangular (); |
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1872 } |
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1873 else |
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1874 (*current_liboctave_error_handler) |
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1875 ("matrix singular to machine precision, rcond = %g", |
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1876 rcond); |
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1877 } |
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1878 } |
5164 | 1879 else |
10314
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1880 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1881 } |
1882 | |
1883 return retval; | |
1884 } | |
1885 | |
1886 SparseMatrix | |
5785 | 1887 SparseMatrix::utsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
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1888 octave_idx_type& err, double& rcond, |
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1889 solve_singularity_handler sing_handler, |
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1890 bool calc_cond) const |
5164 | 1891 { |
1892 SparseMatrix retval; | |
1893 | |
5275 | 1894 octave_idx_type nr = rows (); |
1895 octave_idx_type nc = cols (); | |
5630 | 1896 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 1897 err = 0; |
1898 | |
6924 | 1899 if (nr != b.rows ()) |
5164 | 1900 (*current_liboctave_error_handler) |
1901 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1902 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1903 retval = SparseMatrix (nc, b.cols ()); | |
5164 | 1904 else |
1905 { | |
1906 // Print spparms("spumoni") info if requested | |
1907 int typ = mattype.type (); | |
1908 mattype.info (); | |
1909 | |
5785 | 1910 if (typ == MatrixType::Permuted_Upper || |
10314
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1911 typ == MatrixType::Upper) |
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1912 { |
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1913 double anorm = 0.; |
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1914 double ainvnorm = 0.; |
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1915 rcond = 1.; |
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1916 |
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1917 if (calc_cond) |
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1918 { |
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1919 // Calculate the 1-norm of matrix for rcond calculation |
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1920 for (octave_idx_type j = 0; j < nc; j++) |
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1921 { |
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1922 double atmp = 0.; |
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1923 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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1924 atmp += fabs(data(i)); |
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1925 if (atmp > anorm) |
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1926 anorm = atmp; |
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1927 } |
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1928 } |
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1929 |
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1930 octave_idx_type b_nc = b.cols (); |
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1931 octave_idx_type b_nz = b.nnz (); |
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1932 retval = SparseMatrix (nc, b_nc, b_nz); |
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1933 retval.xcidx(0) = 0; |
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1934 octave_idx_type ii = 0; |
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1935 octave_idx_type x_nz = b_nz; |
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|
1936 |
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|
1937 if (typ == MatrixType::Permuted_Upper) |
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changeset
|
1938 { |
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|
1939 octave_idx_type *perm = mattype.triangular_perm (); |
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|
1940 OCTAVE_LOCAL_BUFFER (double, work, nm); |
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|
1941 |
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1942 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nc); |
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|
1943 for (octave_idx_type i = 0; i < nc; i++) |
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|
1944 rperm[perm[i]] = i; |
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|
1945 |
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1946 for (octave_idx_type j = 0; j < b_nc; j++) |
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|
1947 { |
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|
1948 for (octave_idx_type i = 0; i < nm; i++) |
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1949 work[i] = 0.; |
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|
1950 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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|
1951 work[b.ridx(i)] = b.data(i); |
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|
1952 |
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1953 for (octave_idx_type k = nc-1; k >= 0; k--) |
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changeset
|
1954 { |
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changeset
|
1955 octave_idx_type kidx = perm[k]; |
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|
1956 |
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|
1957 if (work[k] != 0.) |
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|
1958 { |
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|
1959 if (ridx(cidx(kidx+1)-1) != k || |
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|
1960 data(cidx(kidx+1)-1) == 0.) |
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|
1961 { |
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1962 err = -2; |
07ebe522dac2
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1963 goto triangular_error; |
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|
1964 } |
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|
1965 |
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1966 double tmp = work[k] / data(cidx(kidx+1)-1); |
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1967 work[k] = tmp; |
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|
1968 for (octave_idx_type i = cidx(kidx); |
07ebe522dac2
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|
1969 i < cidx(kidx+1)-1; i++) |
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changeset
|
1970 { |
07ebe522dac2
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changeset
|
1971 octave_idx_type iidx = ridx(i); |
07ebe522dac2
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|
1972 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
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changeset
|
1973 } |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1974 } |
07ebe522dac2
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parents:
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diff
changeset
|
1975 } |
07ebe522dac2
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changeset
|
1976 |
07ebe522dac2
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1977 // Count non-zeros in work vector and adjust space in |
07ebe522dac2
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|
1978 // retval if needed |
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|
1979 octave_idx_type new_nnz = 0; |
07ebe522dac2
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|
1980 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
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changeset
|
1981 if (work[i] != 0.) |
07ebe522dac2
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changeset
|
1982 new_nnz++; |
07ebe522dac2
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changeset
|
1983 |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
1984 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
1985 { |
07ebe522dac2
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diff
changeset
|
1986 // Resize the sparse matrix |
07ebe522dac2
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changeset
|
1987 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
|
1988 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
1989 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1990 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
1991 |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
1992 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1993 if (work[rperm[i]] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1994 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
1995 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1996 retval.xdata(ii++) = work[rperm[i]]; |
07ebe522dac2
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changeset
|
1997 } |
07ebe522dac2
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diff
changeset
|
1998 retval.xcidx(j+1) = ii; |
07ebe522dac2
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changeset
|
1999 } |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2000 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2001 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
2002 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2003 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2004 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2005 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2006 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2007 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2008 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2009 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2010 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2011 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2012 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2013 for (octave_idx_type k = j; k >= 0; k--) |
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 octave_idx_type iidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2016 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2017 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2018 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2019 double tmp = work[k] / data(cidx(iidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2020 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2021 for (octave_idx_type i = cidx(iidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2022 i < cidx(iidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2023 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2024 octave_idx_type idx2 = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2025 work[idx2] = work[idx2] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2026 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2027 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2028 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2029 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2030 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
|
2031 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2032 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2033 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2034 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2035 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2036 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2037 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2038 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2039 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2040 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2041 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2042 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2043 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2044 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2045 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
|
2046 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2047 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2048 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2049 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
|
2050 work[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2051 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2052 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
|
2053 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2054 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2055 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2056 if (ridx(cidx(k+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
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|
2057 data(cidx(k+1)-1) == 0.) |
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|
2058 { |
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|
2059 err = -2; |
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|
2060 goto triangular_error; |
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|
2061 } |
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|
2062 |
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2063 double tmp = work[k] / data(cidx(k+1)-1); |
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untabify liboctave C++ sources
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|
2064 work[k] = tmp; |
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2065 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
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untabify liboctave C++ sources
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2066 { |
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2067 octave_idx_type iidx = ridx(i); |
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untabify liboctave C++ sources
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|
2068 work[iidx] = work[iidx] - tmp * data(i); |
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|
2069 } |
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changeset
|
2070 } |
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|
2071 } |
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|
2072 |
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|
2073 // Count non-zeros in work vector and adjust space in |
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2074 // retval if needed |
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|
2075 octave_idx_type new_nnz = 0; |
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untabify liboctave C++ sources
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2076 for (octave_idx_type i = 0; i < nc; i++) |
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2077 if (work[i] != 0.) |
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|
2078 new_nnz++; |
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|
2079 |
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2080 if (ii + new_nnz > x_nz) |
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|
2081 { |
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|
2082 // Resize the sparse matrix |
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2083 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
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2084 retval.change_capacity (sz); |
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untabify liboctave C++ sources
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|
2085 x_nz = sz; |
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|
2086 } |
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|
2087 |
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2088 for (octave_idx_type i = 0; i < nc; i++) |
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untabify liboctave C++ sources
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2089 if (work[i] != 0.) |
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|
2090 { |
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2091 retval.xridx(ii) = i; |
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2092 retval.xdata(ii++) = work[i]; |
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|
2093 } |
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2094 retval.xcidx(j+1) = ii; |
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|
2095 } |
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|
2096 |
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|
2097 retval.maybe_compress (); |
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|
2098 |
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2099 if (calc_cond) |
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|
2100 { |
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|
2101 // Calculation of 1-norm of inv(*this) |
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untabify liboctave C++ sources
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2102 for (octave_idx_type i = 0; i < nm; i++) |
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2103 work[i] = 0.; |
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|
2104 |
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|
2105 for (octave_idx_type j = 0; j < nr; j++) |
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untabify liboctave C++ sources
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|
2106 { |
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|
2107 work[j] = 1.; |
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|
2108 |
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|
2109 for (octave_idx_type k = j; k >= 0; k--) |
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untabify liboctave C++ sources
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|
2110 { |
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|
2111 if (work[k] != 0.) |
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|
2112 { |
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|
2113 double tmp = work[k] / data(cidx(k+1)-1); |
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untabify liboctave C++ sources
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|
2114 work[k] = tmp; |
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untabify liboctave C++ sources
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|
2115 for (octave_idx_type i = cidx(k); |
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untabify liboctave C++ sources
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2116 i < cidx(k+1)-1; i++) |
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untabify liboctave C++ sources
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|
2117 { |
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|
2118 octave_idx_type iidx = ridx(i); |
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untabify liboctave C++ sources
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|
2119 work[iidx] = work[iidx] - tmp * data(i); |
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|
2120 } |
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changeset
|
2121 } |
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diff
changeset
|
2122 } |
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|
2123 double atmp = 0; |
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untabify liboctave C++ sources
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2124 for (octave_idx_type i = 0; i < j+1; i++) |
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untabify liboctave C++ sources
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|
2125 { |
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|
2126 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
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|
2127 work[i] = 0.; |
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|
2128 } |
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|
2129 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
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|
2130 ainvnorm = atmp; |
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diff
changeset
|
2131 } |
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changeset
|
2132 rcond = 1. / ainvnorm / anorm; |
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untabify liboctave C++ sources
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diff
changeset
|
2133 } |
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diff
changeset
|
2134 } |
07ebe522dac2
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changeset
|
2135 |
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diff
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|
2136 triangular_error: |
07ebe522dac2
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diff
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|
2137 if (err != 0) |
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untabify liboctave C++ sources
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diff
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|
2138 { |
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diff
changeset
|
2139 if (sing_handler) |
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untabify liboctave C++ sources
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changeset
|
2140 { |
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|
2141 sing_handler (rcond); |
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untabify liboctave C++ sources
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diff
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|
2142 mattype.mark_as_rectangular (); |
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diff
changeset
|
2143 } |
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untabify liboctave C++ sources
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diff
changeset
|
2144 else |
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|
2145 (*current_liboctave_error_handler) |
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untabify liboctave C++ sources
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|
2146 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
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diff
changeset
|
2147 rcond); |
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changeset
|
2148 } |
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diff
changeset
|
2149 |
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|
2150 volatile double rcond_plus_one = rcond + 1.0; |
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|
2151 |
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|
2152 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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|
2153 { |
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diff
changeset
|
2154 err = -2; |
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|
2155 |
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|
2156 if (sing_handler) |
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changeset
|
2157 { |
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|
2158 sing_handler (rcond); |
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|
2159 mattype.mark_as_rectangular (); |
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|
2160 } |
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|
2161 else |
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|
2162 (*current_liboctave_error_handler) |
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|
2163 ("matrix singular to machine precision, rcond = %g", |
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|
2164 rcond); |
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changeset
|
2165 } |
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|
2166 } |
5164 | 2167 else |
10314
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|
2168 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2169 } |
2170 return retval; | |
2171 } | |
2172 | |
2173 ComplexMatrix | |
5785 | 2174 SparseMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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|
2175 octave_idx_type& err, double& rcond, |
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|
2176 solve_singularity_handler sing_handler, |
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|
2177 bool calc_cond) const |
5164 | 2178 { |
2179 ComplexMatrix retval; | |
2180 | |
5275 | 2181 octave_idx_type nr = rows (); |
2182 octave_idx_type nc = cols (); | |
5630 | 2183 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 2184 err = 0; |
2185 | |
6924 | 2186 if (nr != b.rows ()) |
5164 | 2187 (*current_liboctave_error_handler) |
2188 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2189 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2190 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 2191 else |
2192 { | |
2193 // Print spparms("spumoni") info if requested | |
2194 int typ = mattype.type (); | |
2195 mattype.info (); | |
2196 | |
5785 | 2197 if (typ == MatrixType::Permuted_Upper || |
10314
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|
2198 typ == MatrixType::Upper) |
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changeset
|
2199 { |
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changeset
|
2200 double anorm = 0.; |
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changeset
|
2201 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2202 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2203 rcond = 1.; |
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 (calc_cond) |
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 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2208 for (octave_idx_type j = 0; j < nc; j++) |
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 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2211 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
|
2212 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2213 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2214 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2215 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2216 } |
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 if (typ == MatrixType::Permuted_Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2219 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2220 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2221 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2222 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
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 j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2225 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2226 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2227 cwork[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2228 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2229 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2230 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2231 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
|
2232 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2233 octave_idx_type kidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2234 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2235 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2236 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2237 if (ridx(cidx(kidx+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2238 data(cidx(kidx+1)-1) == 0.) |
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 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2241 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2242 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2243 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2244 Complex tmp = cwork[k] / data(cidx(kidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2245 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2246 for (octave_idx_type i = cidx(kidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2247 i < cidx(kidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2248 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2249 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2250 cwork[iidx] = cwork[iidx] - tmp * data(i); |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2253 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2256 retval.xelem (perm[i], j) = cwork[i]; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2259 if (calc_cond) |
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 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2262 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2263 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2264 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2265 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2266 for (octave_idx_type j = 0; j < nr; j++) |
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 work[j] = 1.; |
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 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2271 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2272 octave_idx_type iidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2273 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2274 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2275 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2276 double tmp = work[k] / data(cidx(iidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2277 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2278 for (octave_idx_type i = cidx(iidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2279 i < cidx(iidx+1)-1; i++) |
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 octave_idx_type idx2 = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2282 work[idx2] = work[idx2] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2283 } |
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
diff
changeset
|
2285 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2286 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2287 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
|
2288 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2289 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2290 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2291 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2292 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2293 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2294 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2295 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2296 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2297 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2298 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2299 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2300 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2301 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2302 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2303 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
|
2304 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2305 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2306 cwork[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2307 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2308 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2309 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2310 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
|
2311 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2312 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2313 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2314 if (ridx(cidx(k+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2315 data(cidx(k+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2316 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2317 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2318 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2319 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2320 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2321 Complex tmp = cwork[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2322 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2323 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
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2324 { |
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2325 octave_idx_type iidx = ridx(i); |
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2326 cwork[iidx] = cwork[iidx] - tmp * data(i); |
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2327 } |
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|
2328 } |
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|
2329 } |
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|
2330 |
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|
2331 for (octave_idx_type i = 0; i < nc; i++) |
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untabify liboctave C++ sources
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2332 retval.xelem (i, j) = cwork[i]; |
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|
2333 } |
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|
2334 |
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|
2335 if (calc_cond) |
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|
2336 { |
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|
2337 // Calculation of 1-norm of inv(*this) |
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2338 OCTAVE_LOCAL_BUFFER (double, work, nm); |
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|
2339 for (octave_idx_type i = 0; i < nm; i++) |
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|
2340 work[i] = 0.; |
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|
2341 |
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|
2342 for (octave_idx_type j = 0; j < nr; j++) |
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|
2343 { |
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|
2344 work[j] = 1.; |
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|
2345 |
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|
2346 for (octave_idx_type k = j; k >= 0; k--) |
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|
2347 { |
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|
2348 if (work[k] != 0.) |
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|
2349 { |
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|
2350 double tmp = work[k] / data(cidx(k+1)-1); |
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2351 work[k] = tmp; |
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untabify liboctave C++ sources
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2352 for (octave_idx_type i = cidx(k); |
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untabify liboctave C++ sources
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2353 i < cidx(k+1)-1; i++) |
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|
2354 { |
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|
2355 octave_idx_type iidx = ridx(i); |
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untabify liboctave C++ sources
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|
2356 work[iidx] = work[iidx] - tmp * data(i); |
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|
2357 } |
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|
2358 } |
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|
2359 } |
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|
2360 double atmp = 0; |
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|
2361 for (octave_idx_type i = 0; i < j+1; i++) |
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|
2362 { |
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2363 atmp += fabs(work[i]); |
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2364 work[i] = 0.; |
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|
2365 } |
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|
2366 if (atmp > ainvnorm) |
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2367 ainvnorm = atmp; |
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|
2368 } |
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|
2369 rcond = 1. / ainvnorm / anorm; |
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|
2370 } |
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|
2371 } |
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|
2372 |
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|
2373 triangular_error: |
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2374 if (err != 0) |
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|
2375 { |
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|
2376 if (sing_handler) |
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|
2377 { |
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|
2378 sing_handler (rcond); |
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|
2379 mattype.mark_as_rectangular (); |
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|
2380 } |
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|
2381 else |
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|
2382 (*current_liboctave_error_handler) |
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2383 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
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|
2384 rcond); |
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|
2385 } |
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|
2386 |
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|
2387 volatile double rcond_plus_one = rcond + 1.0; |
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|
2388 |
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|
2389 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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|
2390 { |
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diff
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|
2391 err = -2; |
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|
2392 |
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|
2393 if (sing_handler) |
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|
2394 { |
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|
2395 sing_handler (rcond); |
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|
2396 mattype.mark_as_rectangular (); |
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|
2397 } |
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|
2398 else |
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|
2399 (*current_liboctave_error_handler) |
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|
2400 ("matrix singular to machine precision, rcond = %g", |
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|
2401 rcond); |
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|
2402 } |
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|
2403 } |
5164 | 2404 else |
10314
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|
2405 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2406 } |
2407 | |
2408 return retval; | |
2409 } | |
2410 | |
2411 SparseComplexMatrix | |
5785 | 2412 SparseMatrix::utsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
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2413 octave_idx_type& err, double& rcond, |
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|
2414 solve_singularity_handler sing_handler, |
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|
2415 bool calc_cond) const |
5164 | 2416 { |
2417 SparseComplexMatrix retval; | |
2418 | |
5275 | 2419 octave_idx_type nr = rows (); |
2420 octave_idx_type nc = cols (); | |
5630 | 2421 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 2422 err = 0; |
2423 | |
6924 | 2424 if (nr != b.rows ()) |
5164 | 2425 (*current_liboctave_error_handler) |
2426 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2427 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2428 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 2429 else |
2430 { | |
2431 // Print spparms("spumoni") info if requested | |
2432 int typ = mattype.type (); | |
2433 mattype.info (); | |
2434 | |
5785 | 2435 if (typ == MatrixType::Permuted_Upper || |
10314
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2436 typ == MatrixType::Upper) |
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|
2437 { |
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|
2438 double anorm = 0.; |
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|
2439 double ainvnorm = 0.; |
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|
2440 rcond = 1.; |
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|
2441 |
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|
2442 if (calc_cond) |
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|
2443 { |
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|
2444 // Calculate the 1-norm of matrix for rcond calculation |
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|
2445 for (octave_idx_type j = 0; j < nc; j++) |
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|
2446 { |
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|
2447 double atmp = 0.; |
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|
2448 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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|
2449 atmp += fabs(data(i)); |
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|
2450 if (atmp > anorm) |
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|
2451 anorm = atmp; |
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|
2452 } |
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changeset
|
2453 } |
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changeset
|
2454 |
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2455 octave_idx_type b_nc = b.cols (); |
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2456 octave_idx_type b_nz = b.nnz (); |
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2457 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
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2458 retval.xcidx(0) = 0; |
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2459 octave_idx_type ii = 0; |
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2460 octave_idx_type x_nz = b_nz; |
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|
2461 |
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2462 if (typ == MatrixType::Permuted_Upper) |
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|
2463 { |
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2464 octave_idx_type *perm = mattype.triangular_perm (); |
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|
2465 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
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|
2466 |
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|
2467 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nc); |
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changeset
|
2468 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2469 rperm[perm[i]] = i; |
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 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
|
2472 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2473 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2474 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2475 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
|
2476 cwork[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2477 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2478 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
|
2479 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2480 octave_idx_type kidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2481 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2482 if (cwork[k] != 0.) |
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 if (ridx(cidx(kidx+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2485 data(cidx(kidx+1)-1) == 0.) |
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 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2488 goto triangular_error; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2491 Complex tmp = cwork[k] / data(cidx(kidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2492 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2493 for (octave_idx_type i = cidx(kidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2494 i < cidx(kidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2495 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2496 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2497 cwork[iidx] = cwork[iidx] - tmp * data(i); |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2500 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2501 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2502 // 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
|
2503 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2504 octave_idx_type new_nnz = 0; |
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 (cwork[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2507 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2508 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2509 if (ii + new_nnz > x_nz) |
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 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2512 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
|
2513 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2514 x_nz = sz; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2517 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2518 if (cwork[rperm[i]] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2519 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2520 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2521 retval.xdata(ii++) = cwork[rperm[i]]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2522 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2523 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2524 } |
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 retval.maybe_compress (); |
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 (calc_cond) |
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 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2531 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2532 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2533 work[i] = 0.; |
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 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2536 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2537 work[j] = 1.; |
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 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2540 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2541 octave_idx_type iidx = perm[k]; |
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 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2544 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2545 double tmp = work[k] / data(cidx(iidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2546 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2547 for (octave_idx_type i = cidx(iidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2548 i < cidx(iidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2549 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2550 octave_idx_type idx2 = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2551 work[idx2] = work[idx2] - tmp * data(i); |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2554 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2555 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2556 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
|
2557 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2558 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2559 work[i] = 0.; |
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 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2562 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2563 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2564 rcond = 1. / ainvnorm / anorm; |
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 else |
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 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
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 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
|
2572 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2573 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2574 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2575 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
|
2576 cwork[b.ridx(i)] = b.data(i); |
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 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
|
2579 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2580 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2581 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2582 if (ridx(cidx(k+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2583 data(cidx(k+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2584 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2585 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2586 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2587 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2588 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2589 Complex tmp = cwork[k] / data(cidx(k+1)-1); |
07ebe522dac2
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|
2590 cwork[k] = tmp; |
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|
2591 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
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|
2592 { |
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|
2593 octave_idx_type iidx = ridx(i); |
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|
2594 cwork[iidx] = cwork[iidx] - tmp * data(i); |
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|
2595 } |
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diff
changeset
|
2596 } |
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diff
changeset
|
2597 } |
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diff
changeset
|
2598 |
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diff
changeset
|
2599 // Count non-zeros in work vector and adjust space in |
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diff
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|
2600 // retval if needed |
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|
2601 octave_idx_type new_nnz = 0; |
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untabify liboctave C++ sources
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|
2602 for (octave_idx_type i = 0; i < nc; i++) |
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|
2603 if (cwork[i] != 0.) |
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diff
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|
2604 new_nnz++; |
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diff
changeset
|
2605 |
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|
2606 if (ii + new_nnz > x_nz) |
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|
2607 { |
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|
2608 // Resize the sparse matrix |
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|
2609 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
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untabify liboctave C++ sources
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|
2610 retval.change_capacity (sz); |
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untabify liboctave C++ sources
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diff
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|
2611 x_nz = sz; |
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diff
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|
2612 } |
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diff
changeset
|
2613 |
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changeset
|
2614 for (octave_idx_type i = 0; i < nc; i++) |
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untabify liboctave C++ sources
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|
2615 if (cwork[i] != 0.) |
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|
2616 { |
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|
2617 retval.xridx(ii) = i; |
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untabify liboctave C++ sources
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|
2618 retval.xdata(ii++) = cwork[i]; |
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untabify liboctave C++ sources
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diff
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|
2619 } |
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untabify liboctave C++ sources
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diff
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|
2620 retval.xcidx(j+1) = ii; |
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|
2621 } |
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|
2622 |
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|
2623 retval.maybe_compress (); |
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|
2624 |
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|
2625 if (calc_cond) |
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|
2626 { |
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|
2627 // Calculation of 1-norm of inv(*this) |
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|
2628 OCTAVE_LOCAL_BUFFER (double, work, nm); |
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|
2629 for (octave_idx_type i = 0; i < nm; i++) |
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|
2630 work[i] = 0.; |
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|
2631 |
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|
2632 for (octave_idx_type j = 0; j < nr; j++) |
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|
2633 { |
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|
2634 work[j] = 1.; |
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|
2635 |
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|
2636 for (octave_idx_type k = j; k >= 0; k--) |
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|
2637 { |
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|
2638 if (work[k] != 0.) |
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|
2639 { |
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|
2640 double tmp = work[k] / data(cidx(k+1)-1); |
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|
2641 work[k] = tmp; |
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|
2642 for (octave_idx_type i = cidx(k); |
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untabify liboctave C++ sources
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|
2643 i < cidx(k+1)-1; i++) |
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|
2644 { |
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|
2645 octave_idx_type iidx = ridx(i); |
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untabify liboctave C++ sources
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|
2646 work[iidx] = work[iidx] - tmp * data(i); |
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|
2647 } |
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diff
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|
2648 } |
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changeset
|
2649 } |
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|
2650 double atmp = 0; |
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|
2651 for (octave_idx_type i = 0; i < j+1; i++) |
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|
2652 { |
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|
2653 atmp += fabs(work[i]); |
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untabify liboctave C++ sources
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|
2654 work[i] = 0.; |
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|
2655 } |
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|
2656 if (atmp > ainvnorm) |
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untabify liboctave C++ sources
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|
2657 ainvnorm = atmp; |
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|
2658 } |
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changeset
|
2659 rcond = 1. / ainvnorm / anorm; |
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diff
changeset
|
2660 } |
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diff
changeset
|
2661 } |
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changeset
|
2662 |
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diff
changeset
|
2663 triangular_error: |
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|
2664 if (err != 0) |
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|
2665 { |
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|
2666 if (sing_handler) |
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|
2667 { |
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changeset
|
2668 sing_handler (rcond); |
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|
2669 mattype.mark_as_rectangular (); |
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diff
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|
2670 } |
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diff
changeset
|
2671 else |
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|
2672 (*current_liboctave_error_handler) |
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|
2673 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
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diff
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|
2674 rcond); |
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changeset
|
2675 } |
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changeset
|
2676 |
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|
2677 volatile double rcond_plus_one = rcond + 1.0; |
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|
2678 |
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|
2679 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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|
2680 { |
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diff
changeset
|
2681 err = -2; |
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|
2682 |
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|
2683 if (sing_handler) |
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|
2684 { |
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|
2685 sing_handler (rcond); |
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|
2686 mattype.mark_as_rectangular (); |
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|
2687 } |
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|
2688 else |
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|
2689 (*current_liboctave_error_handler) |
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|
2690 ("matrix singular to machine precision, rcond = %g", |
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|
2691 rcond); |
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|
2692 } |
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|
2693 } |
5164 | 2694 else |
10314
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|
2695 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2696 } |
2697 | |
2698 return retval; | |
2699 } | |
2700 | |
2701 Matrix | |
5785 | 2702 SparseMatrix::ltsolve (MatrixType &mattype, const Matrix& b, |
10314
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|
2703 octave_idx_type& err, double& rcond, |
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|
2704 solve_singularity_handler sing_handler, |
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|
2705 bool calc_cond) const |
5164 | 2706 { |
2707 Matrix retval; | |
2708 | |
5275 | 2709 octave_idx_type nr = rows (); |
2710 octave_idx_type nc = cols (); | |
5630 | 2711 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 2712 err = 0; |
2713 | |
6924 | 2714 if (nr != b.rows ()) |
5164 | 2715 (*current_liboctave_error_handler) |
2716 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2717 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2718 retval = Matrix (nc, b.cols (), 0.0); | |
5164 | 2719 else |
2720 { | |
2721 // Print spparms("spumoni") info if requested | |
2722 int typ = mattype.type (); | |
2723 mattype.info (); | |
2724 | |
5785 | 2725 if (typ == MatrixType::Permuted_Lower || |
10314
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2726 typ == MatrixType::Lower) |
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|
2727 { |
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changeset
|
2728 double anorm = 0.; |
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changeset
|
2729 double ainvnorm = 0.; |
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|
2730 octave_idx_type b_nc = b.cols (); |
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changeset
|
2731 rcond = 1.; |
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|
2732 |
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|
2733 if (calc_cond) |
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|
2734 { |
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changeset
|
2735 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2736 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2737 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2738 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2739 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
|
2740 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2741 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2742 anorm = atmp; |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2745 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2746 if (typ == MatrixType::Permuted_Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2747 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2748 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2749 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2750 octave_idx_type *perm = mattype.triangular_perm (); |
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 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
|
2753 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2754 if (nc > nr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2755 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2756 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2757 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2758 work[perm[i]] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2759 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2760 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2761 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2762 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2763 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2764 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2765 octave_idx_type mini = 0; |
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 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
|
2768 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2769 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2770 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2771 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2772 } |
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 if (minr != k || data(mini) == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2775 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2776 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2777 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2778 } |
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 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2781 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2782 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
|
2783 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2784 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2785 continue; |
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 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2788 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2789 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2790 } |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2793 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2794 retval (i, j) = work[i]; |
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 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2798 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2799 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2800 for (octave_idx_type i = 0; i < nm; 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 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2804 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2805 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2806 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2807 for (octave_idx_type k = 0; k < nc; k++) |
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 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2810 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2811 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2812 octave_idx_type mini = 0; |
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 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2815 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2816 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2817 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2818 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2819 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2820 } |
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 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2823 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2824 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2825 i < cidx(k+1); i++) |
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 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2828 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2829 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2830 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2831 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2832 } |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2835 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2836 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2837 for (octave_idx_type i = j; i < nc; i++) |
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 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2840 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2841 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2842 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2843 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2844 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2845 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2846 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2847 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2848 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2849 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2850 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2851 retval.resize (nc, b_nc, 0.); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2852 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2853 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
|
2854 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2855 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2856 work[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2857 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2858 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2859 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2860 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2861 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2862 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2863 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2864 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2865 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2866 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2867 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2868 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2869 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2870 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2871 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2872 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2873 i < cidx(k+1); i++) |
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 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2876 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2877 } |
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 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2882 retval.xelem (i, j) = work[i]; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2885 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2886 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2887 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2888 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2889 work[i] = 0.; |
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 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2892 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2893 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2894 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2895 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2896 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2897 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2898 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2899 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2900 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2901 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2902 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2903 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2904 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2905 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2906 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2907 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2908 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2909 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2910 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2911 for (octave_idx_type i = j; i < nc; i++) |
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 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2914 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2915 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2916 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2917 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2918 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2919 rcond = 1. / ainvnorm / anorm; |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2922 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2923 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2924 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2925 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2926 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2927 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2928 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2929 mattype.mark_as_rectangular (); |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2932 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2933 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2934 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2935 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2936 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2937 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2938 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2939 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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 err = -2; |
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 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2944 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2945 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2946 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2947 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2948 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2949 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2950 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2951 rcond); |
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 } |
5164 | 2954 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2955 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2956 } |
2957 | |
2958 return retval; | |
2959 } | |
2960 | |
2961 SparseMatrix | |
5785 | 2962 SparseMatrix::ltsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2963 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2964 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2965 bool calc_cond) const |
5164 | 2966 { |
2967 SparseMatrix retval; | |
2968 | |
5275 | 2969 octave_idx_type nr = rows (); |
2970 octave_idx_type nc = cols (); | |
5630 | 2971 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 2972 err = 0; |
2973 | |
6924 | 2974 if (nr != b.rows ()) |
5164 | 2975 (*current_liboctave_error_handler) |
2976 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2977 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2978 retval = SparseMatrix (nc, b.cols ()); | |
5164 | 2979 else |
2980 { | |
2981 // Print spparms("spumoni") info if requested | |
2982 int typ = mattype.type (); | |
2983 mattype.info (); | |
2984 | |
5785 | 2985 if (typ == MatrixType::Permuted_Lower || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2986 typ == MatrixType::Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2987 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2988 double anorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2989 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2990 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2991 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2992 if (calc_cond) |
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 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2995 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2996 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2997 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2998 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
|
2999 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3000 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3001 anorm = atmp; |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3004 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3005 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3006 octave_idx_type b_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3007 retval = SparseMatrix (nc, b_nc, b_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3008 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3009 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3010 octave_idx_type x_nz = b_nz; |
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 if (typ == MatrixType::Permuted_Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3013 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3014 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3015 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3016 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3017 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
|
3018 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3019 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3020 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3021 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
|
3022 work[perm[b.ridx(i)]] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3023 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3024 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3025 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3026 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3027 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3028 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3029 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3030 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3031 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
|
3032 if (perm[ridx(i)] < minr) |
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 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3035 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3036 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3037 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3038 if (minr != k || data(mini) == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3039 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3040 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3041 goto triangular_error; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3044 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3045 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3046 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
|
3047 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3048 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3049 continue; |
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 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3052 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3053 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3054 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3055 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3056 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3057 // 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
|
3058 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3059 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3060 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3061 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3062 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3063 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3064 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3065 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3066 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3067 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
|
3068 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3069 x_nz = sz; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3072 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3073 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3074 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3075 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3076 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3077 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3078 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3079 } |
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 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3082 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3083 if (calc_cond) |
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 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3086 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3087 work[i] = 0.; |
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 j = 0; j < nr; j++) |
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 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3092 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3093 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3094 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3095 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3096 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3097 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3098 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3099 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3100 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3101 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3102 if (perm[ridx(i)] < minr) |
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 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3105 mini = 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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3108 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3109 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3110 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3111 i < cidx(k+1); i++) |
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 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3114 continue; |
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 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3117 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3118 } |
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 } |
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 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3123 for (octave_idx_type i = j; i < nr; i++) |
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 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3126 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3127 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3128 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3129 ainvnorm = atmp; |
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 rcond = 1. / ainvnorm / anorm; |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3134 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3135 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3136 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3137 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3138 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
|
3139 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3140 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3141 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3142 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
|
3143 work[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3144 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3145 for (octave_idx_type k = 0; k < nc; k++) |
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 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3148 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3149 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3150 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3151 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3152 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3153 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3154 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3155 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3156 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3157 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3158 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
|
3159 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3160 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3161 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3162 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3163 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3164 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3165 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3166 // 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
|
3167 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3168 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3169 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3170 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3171 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3172 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3173 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3174 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3175 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3176 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
|
3177 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3178 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3179 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3180 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3181 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3182 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3183 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3184 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3185 retval.xdata(ii++) = work[i]; |
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 retval.xcidx(j+1) = ii; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3190 retval.maybe_compress (); |
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 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3193 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3194 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3195 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3196 work[i] = 0.; |
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 for (octave_idx_type j = 0; j < nr; j++) |
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 work[j] = 1.; |
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 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3203 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3204 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3205 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3206 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3207 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3208 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3209 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3210 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3211 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3212 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3213 work[iidx] = work[iidx] - tmp * data(i); |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3216 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3217 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3218 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3219 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3220 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3221 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3222 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3223 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3224 ainvnorm = atmp; |
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 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3227 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3228 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3229 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3230 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3231 if (err != 0) |
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 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3234 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3235 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3236 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3237 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3238 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3239 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3240 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3241 rcond); |
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 volatile double rcond_plus_one = rcond + 1.0; |
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 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3247 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3248 err = -2; |
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 (sing_handler) |
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 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3253 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3254 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3255 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3256 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3257 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3258 rcond); |
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 } |
5164 | 3261 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3262 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3263 } |
3264 | |
3265 return retval; | |
3266 } | |
3267 | |
3268 ComplexMatrix | |
5785 | 3269 SparseMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3270 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3271 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3272 bool calc_cond) const |
5164 | 3273 { |
3274 ComplexMatrix retval; | |
3275 | |
5275 | 3276 octave_idx_type nr = rows (); |
3277 octave_idx_type nc = cols (); | |
5630 | 3278 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 3279 err = 0; |
3280 | |
6924 | 3281 if (nr != b.rows ()) |
5164 | 3282 (*current_liboctave_error_handler) |
3283 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 3284 else if (nr == 0 || nc == 0 || b.cols () == 0) |
3285 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 3286 else |
3287 { | |
3288 // Print spparms("spumoni") info if requested | |
3289 int typ = mattype.type (); | |
3290 mattype.info (); | |
3291 | |
5785 | 3292 if (typ == MatrixType::Permuted_Lower || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3293 typ == MatrixType::Lower) |
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 double anorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3296 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3297 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3298 rcond = 1.; |
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 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3301 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3302 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3303 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3304 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3305 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3306 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
|
3307 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3308 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3309 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3310 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3311 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3312 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3313 if (typ == MatrixType::Permuted_Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3314 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3315 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3316 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3317 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3318 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3319 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
|
3320 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3321 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3322 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3323 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3324 cwork[perm[i]] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3325 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3326 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3327 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3328 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3329 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3330 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3331 octave_idx_type mini = 0; |
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 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
|
3334 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3335 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3336 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3337 mini = i; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3340 if (minr != k || data(mini) == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3341 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3342 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3343 goto triangular_error; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3346 Complex tmp = cwork[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3347 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3348 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
|
3349 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3350 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3351 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3352 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3353 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3354 cwork[iidx] = cwork[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3355 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3356 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3357 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3360 retval (i, j) = cwork[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 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3364 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3365 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3366 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3367 for (octave_idx_type i = 0; i < nm; 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 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3371 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3372 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3373 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3374 for (octave_idx_type k = 0; k < nc; k++) |
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 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3377 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3378 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3379 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3380 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3381 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3382 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3383 if (perm[ridx(i)] < minr) |
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 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3386 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3387 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3388 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3389 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3390 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3391 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3392 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3393 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3394 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3395 continue; |
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 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3398 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3399 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3400 } |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3403 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3404 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3405 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3406 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3407 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3408 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3409 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3410 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3411 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3412 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3413 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3414 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3415 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3416 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3417 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3418 retval.resize (nc, b_nc, 0.); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3419 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3420 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
|
3421 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3422 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3423 cwork[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3424 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3425 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3426 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3427 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3428 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3429 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3430 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3431 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3432 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3433 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3434 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3435 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3436 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3437 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3438 Complex tmp = cwork[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3439 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3440 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
|
3441 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3442 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3443 cwork[iidx] = cwork[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3444 } |
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 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3449 retval.xelem (i, j) = cwork[i]; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3452 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3453 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3454 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3455 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3456 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3457 work[i] = 0.; |
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 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3460 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3461 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3462 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3463 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3464 { |
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 (work[k] != 0.) |
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 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3469 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3470 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3471 i < cidx(k+1); i++) |
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 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3474 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3475 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3476 } |
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 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3479 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3480 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3481 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3482 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3483 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3484 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3485 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3486 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3487 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3488 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3489 } |
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 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3492 if (err != 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 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3495 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3496 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3497 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3498 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3499 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3500 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3501 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3502 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3503 } |
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 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3506 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3507 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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 err = -2; |
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 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3512 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3513 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3514 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3515 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3516 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3517 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3518 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3519 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3520 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3521 } |
5164 | 3522 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3523 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3524 } |
3525 | |
3526 return retval; | |
3527 } | |
3528 | |
3529 SparseComplexMatrix | |
5785 | 3530 SparseMatrix::ltsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3531 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3532 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3533 bool calc_cond) const |
5164 | 3534 { |
3535 SparseComplexMatrix retval; | |
3536 | |
5275 | 3537 octave_idx_type nr = rows (); |
3538 octave_idx_type nc = cols (); | |
5630 | 3539 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 3540 err = 0; |
3541 | |
6924 | 3542 if (nr != b.rows ()) |
5164 | 3543 (*current_liboctave_error_handler) |
3544 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 3545 else if (nr == 0 || nc == 0 || b.cols () == 0) |
3546 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 3547 else |
3548 { | |
3549 // Print spparms("spumoni") info if requested | |
3550 int typ = mattype.type (); | |
3551 mattype.info (); | |
3552 | |
5785 | 3553 if (typ == MatrixType::Permuted_Lower || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3554 typ == MatrixType::Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3555 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3556 double anorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3557 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3558 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3559 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3560 if (calc_cond) |
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 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3563 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3564 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3565 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3566 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
|
3567 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3568 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3569 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3570 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3571 } |
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 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3574 octave_idx_type b_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3575 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3576 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3577 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3578 octave_idx_type x_nz = b_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3579 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3580 if (typ == MatrixType::Permuted_Lower) |
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 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3583 octave_idx_type *perm = mattype.triangular_perm (); |
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 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
|
3586 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3587 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3588 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3589 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
|
3590 cwork[perm[b.ridx(i)]] = b.data(i); |
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 k = 0; k < nc; k++) |
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 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3595 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3596 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3597 octave_idx_type mini = 0; |
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 i = cidx(k); i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3600 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3601 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3602 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3603 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3604 } |
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 if (minr != k || data(mini) == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3607 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3608 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3609 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3610 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3611 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3612 Complex tmp = cwork[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3613 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3614 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
|
3615 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3616 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3617 continue; |
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 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3620 cwork[iidx] = cwork[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3621 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3622 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3623 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3624 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3625 // 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
|
3626 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3627 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3628 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3629 if (cwork[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3630 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3631 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3632 if (ii + new_nnz > x_nz) |
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 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3635 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
|
3636 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3637 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3638 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3639 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3640 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3641 if (cwork[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3642 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3643 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3644 retval.xdata(ii++) = cwork[i]; |
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 retval.xcidx(j+1) = ii; |
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 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3649 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3650 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3651 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3652 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3653 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3654 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3655 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3656 work[i] = 0.; |
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 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3659 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3660 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3661 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3662 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3663 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3664 if (work[k] != 0.) |
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 minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3667 octave_idx_type mini = 0; |
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 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3670 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3671 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3672 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3673 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3674 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3675 } |
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 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3678 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3679 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3680 i < cidx(k+1); i++) |
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 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3683 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3684 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3685 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3686 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3687 } |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3690 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3691 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3692 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3693 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3694 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3695 work[i] = 0.; |
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 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3698 ainvnorm = atmp; |
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 rcond = 1. / ainvnorm / anorm; |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3703 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3704 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3705 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3706 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3707 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
|
3708 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3709 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3710 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3711 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
|
3712 cwork[b.ridx(i)] = b.data(i); |
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 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3715 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3716 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3717 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3718 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3719 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3720 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3721 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3722 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3723 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3724 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3725 Complex tmp = cwork[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3726 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3727 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
|
3728 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3729 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3730 cwork[iidx] = cwork[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3731 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3732 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3733 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3734 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3735 // 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
|
3736 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3737 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3738 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3739 if (cwork[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3740 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3741 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3742 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3743 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3744 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3745 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
|
3746 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3747 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3748 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3749 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3750 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3751 if (cwork[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3752 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3753 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3754 retval.xdata(ii++) = cwork[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3755 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3756 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3757 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3758 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3759 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3760 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3761 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3762 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3763 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3764 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3765 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3766 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3767 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3768 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3769 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3770 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3771 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3772 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3773 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3774 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3775 if (work[k] != 0.) |
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 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3778 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3779 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3780 i < cidx(k+1); 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 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3783 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3784 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3785 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3786 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3787 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3788 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3789 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3790 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3791 work[i] = 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 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3794 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3795 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3796 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3797 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3798 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3799 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3800 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3801 if (err != 0) |
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 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3804 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3805 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3806 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3807 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3808 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3809 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3810 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3811 rcond); |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3814 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3815 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3816 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3817 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3818 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3819 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3820 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3821 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3822 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3823 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3824 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3825 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3826 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3827 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3828 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3829 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3830 } |
5164 | 3831 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3832 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3833 } |
3834 | |
3835 return retval; | |
3836 } | |
3837 | |
3838 Matrix | |
5785 | 3839 SparseMatrix::trisolve (MatrixType &mattype, const Matrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3840 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3841 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3842 bool calc_cond) const |
5164 | 3843 { |
3844 Matrix retval; | |
3845 | |
5275 | 3846 octave_idx_type nr = rows (); |
3847 octave_idx_type nc = cols (); | |
5164 | 3848 err = 0; |
3849 | |
6924 | 3850 if (nr != nc || nr != b.rows ()) |
5164 | 3851 (*current_liboctave_error_handler) |
3852 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 3853 else if (nr == 0 || b.cols () == 0) |
3854 retval = Matrix (nc, b.cols (), 0.0); | |
5681 | 3855 else if (calc_cond) |
3856 (*current_liboctave_error_handler) | |
3857 ("calculation of condition number not implemented"); | |
5164 | 3858 else |
3859 { | |
3860 // Print spparms("spumoni") info if requested | |
3861 volatile int typ = mattype.type (); | |
3862 mattype.info (); | |
3863 | |
5785 | 3864 if (typ == MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3865 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3866 OCTAVE_LOCAL_BUFFER (double, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3867 OCTAVE_LOCAL_BUFFER (double, DL, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3868 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3869 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3870 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3871 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3872 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3873 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
|
3874 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3875 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3876 DL[j] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3877 ii += 2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3878 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3879 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3880 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3881 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3882 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3883 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3884 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
|
3885 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3886 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3887 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3888 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3889 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3890 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3891 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
|
3892 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3893 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3894 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3895 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3896 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3897 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3898 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3899 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3900 octave_idx_type b_nc = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3901 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3902 double *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3903 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3904 F77_XFCN (dptsv, DPTSV, (nr, b_nc, D, DL, result, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3905 b.rows(), err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3906 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3907 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3908 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3909 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3910 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3911 typ = MatrixType::Tridiagonal; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3912 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3913 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3914 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3915 } |
5164 | 3916 |
5785 | 3917 if (typ == MatrixType::Tridiagonal) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3918 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3919 OCTAVE_LOCAL_BUFFER (double, DU, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3920 OCTAVE_LOCAL_BUFFER (double, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3921 OCTAVE_LOCAL_BUFFER (double, DL, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3922 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3923 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3924 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3925 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3926 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3927 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
|
3928 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3929 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3930 DL[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3931 DU[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3932 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3933 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3934 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3935 else |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3936 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3937 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3938 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
|
3939 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3940 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3941 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3942 DU[i] = 0.; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3945 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3946 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
|
3947 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3948 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3949 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3950 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3951 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3952 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3953 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3954 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3955 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3956 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3957 octave_idx_type b_nc = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3958 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3959 double *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3960 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3961 F77_XFCN (dgtsv, DGTSV, (nr, b_nc, DL, D, DU, result, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3962 b.rows(), err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3963 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3964 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3965 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3966 rcond = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3967 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3968 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3969 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3970 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3971 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3972 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3973 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3974 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3975 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3976 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3977 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3978 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3979 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3980 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3981 } |
5785 | 3982 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3983 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3984 } |
3985 | |
3986 return retval; | |
3987 } | |
3988 | |
3989 SparseMatrix | |
5785 | 3990 SparseMatrix::trisolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3991 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3992 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3993 bool calc_cond) const |
5164 | 3994 { |
3995 SparseMatrix retval; | |
3996 | |
5275 | 3997 octave_idx_type nr = rows (); |
3998 octave_idx_type nc = cols (); | |
5164 | 3999 err = 0; |
4000 | |
6924 | 4001 if (nr != nc || nr != b.rows ()) |
5164 | 4002 (*current_liboctave_error_handler) |
4003 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4004 else if (nr == 0 || b.cols () == 0) |
4005 retval = SparseMatrix (nc, b.cols ()); | |
5681 | 4006 else if (calc_cond) |
4007 (*current_liboctave_error_handler) | |
4008 ("calculation of condition number not implemented"); | |
5164 | 4009 else |
4010 { | |
4011 // Print spparms("spumoni") info if requested | |
4012 int typ = mattype.type (); | |
4013 mattype.info (); | |
4014 | |
4015 // Note can't treat symmetric case as there is no dpttrf function | |
5785 | 4016 if (typ == MatrixType::Tridiagonal || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4017 typ == MatrixType::Tridiagonal_Hermitian) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4018 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4019 OCTAVE_LOCAL_BUFFER (double, DU2, nr - 2); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4020 OCTAVE_LOCAL_BUFFER (double, DU, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4021 OCTAVE_LOCAL_BUFFER (double, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4022 OCTAVE_LOCAL_BUFFER (double, DL, nr - 1); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4023 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4024 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4025 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4026 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4027 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4028 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4029 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4030 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
|
4031 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4032 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4033 DL[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4034 DU[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4035 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4036 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4037 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4038 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4039 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4040 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4041 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
|
4042 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4043 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4044 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4045 DU[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4046 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4047 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4048 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4049 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
|
4050 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4051 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4052 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4053 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4054 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4055 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4056 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4057 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4058 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4059 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4060 F77_XFCN (dgttrf, DGTTRF, (nr, DL, D, DU, DU2, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4061 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4062 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4063 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4064 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4065 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4066 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4067 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4068 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4069 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4070 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4071 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4072 else |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4073 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4074 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4075 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4076 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4077 else |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4078 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4079 rcond = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4080 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4081 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4082 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4083 retval = SparseMatrix (nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4084 retval.xcidx(0) = 0; |
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|
4085 volatile octave_idx_type ii = 0; |
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|
4086 |
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|
4087 OCTAVE_LOCAL_BUFFER (double, work, nr); |
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|
4088 |
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|
4089 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
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|
4090 { |
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changeset
|
4091 for (octave_idx_type i = 0; i < nr; i++) |
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|
4092 work[i] = 0.; |
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|
4093 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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|
4094 work[b.ridx(i)] = b.data(i); |
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|
4095 |
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|
4096 F77_XFCN (dgttrs, DGTTRS, |
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|
4097 (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
4098 nr, 1, DL, D, DU, DU2, pipvt, |
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|
4099 work, b.rows (), err |
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|
4100 F77_CHAR_ARG_LEN (1))); |
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|
4101 |
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|
4102 // Count non-zeros in work vector and adjust |
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|
4103 // space in retval if needed |
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|
4104 octave_idx_type new_nnz = 0; |
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|
4105 for (octave_idx_type i = 0; i < nr; i++) |
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|
4106 if (work[i] != 0.) |
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|
4107 new_nnz++; |
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|
4108 |
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|
4109 if (ii + new_nnz > x_nz) |
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|
4110 { |
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|
4111 // Resize the sparse matrix |
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|
4112 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
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|
4113 retval.change_capacity (sz); |
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|
4114 x_nz = sz; |
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|
4115 } |
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changeset
|
4116 |
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|
4117 for (octave_idx_type i = 0; i < nr; i++) |
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|
4118 if (work[i] != 0.) |
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diff
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|
4119 { |
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|
4120 retval.xridx(ii) = i; |
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|
4121 retval.xdata(ii++) = work[i]; |
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|
4122 } |
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|
4123 retval.xcidx(j+1) = ii; |
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|
4124 } |
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|
4125 |
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|
4126 retval.maybe_compress (); |
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|
4127 } |
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|
4128 } |
5785 | 4129 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
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|
4130 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4131 } |
4132 | |
4133 return retval; | |
4134 } | |
4135 | |
4136 ComplexMatrix | |
5785 | 4137 SparseMatrix::trisolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
07ebe522dac2
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|
4138 octave_idx_type& err, double& rcond, |
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|
4139 solve_singularity_handler sing_handler, |
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|
4140 bool calc_cond) const |
5164 | 4141 { |
4142 ComplexMatrix retval; | |
4143 | |
5275 | 4144 octave_idx_type nr = rows (); |
4145 octave_idx_type nc = cols (); | |
5164 | 4146 err = 0; |
4147 | |
6924 | 4148 if (nr != nc || nr != b.rows ()) |
5164 | 4149 (*current_liboctave_error_handler) |
4150 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4151 else if (nr == 0 || b.cols () == 0) |
4152 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5681 | 4153 else if (calc_cond) |
4154 (*current_liboctave_error_handler) | |
4155 ("calculation of condition number not implemented"); | |
5164 | 4156 else |
4157 { | |
4158 // Print spparms("spumoni") info if requested | |
4159 volatile int typ = mattype.type (); | |
4160 mattype.info (); | |
4161 | |
5785 | 4162 if (typ == MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
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|
4163 { |
07ebe522dac2
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|
4164 OCTAVE_LOCAL_BUFFER (double, D, nr); |
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|
4165 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
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|
4166 |
07ebe522dac2
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|
4167 if (mattype.is_dense ()) |
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|
4168 { |
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diff
changeset
|
4169 octave_idx_type ii = 0; |
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|
4170 |
07ebe522dac2
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|
4171 for (octave_idx_type j = 0; j < nc-1; j++) |
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|
4172 { |
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diff
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|
4173 D[j] = data(ii++); |
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|
4174 DL[j] = data(ii); |
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diff
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|
4175 ii += 2; |
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diff
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|
4176 } |
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diff
changeset
|
4177 D[nc-1] = data(ii); |
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untabify liboctave C++ sources
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|
4178 } |
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diff
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|
4179 else |
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|
4180 { |
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|
4181 D[0] = 0.; |
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untabify liboctave C++ sources
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|
4182 for (octave_idx_type i = 0; i < nr - 1; i++) |
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diff
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|
4183 { |
07ebe522dac2
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diff
changeset
|
4184 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
4185 DL[i] = 0.; |
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diff
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|
4186 } |
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changeset
|
4187 |
07ebe522dac2
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|
4188 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
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|
4189 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
4190 { |
07ebe522dac2
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diff
changeset
|
4191 if (ridx(i) == j) |
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|
4192 D[j] = data(i); |
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|
4193 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4194 DL[j] = data(i); |
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diff
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|
4195 } |
07ebe522dac2
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diff
changeset
|
4196 } |
07ebe522dac2
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changeset
|
4197 |
07ebe522dac2
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|
4198 octave_idx_type b_nr = b.rows (); |
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|
4199 octave_idx_type b_nc = b.cols(); |
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|
4200 rcond = 1.; |
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changeset
|
4201 |
07ebe522dac2
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diff
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|
4202 retval = b; |
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|
4203 Complex *result = retval.fortran_vec (); |
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|
4204 |
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|
4205 F77_XFCN (zptsv, ZPTSV, (nr, b_nc, D, DL, result, |
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|
4206 b_nr, err)); |
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|
4207 |
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|
4208 if (err != 0) |
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|
4209 { |
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|
4210 err = 0; |
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|
4211 mattype.mark_as_unsymmetric (); |
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|
4212 typ = MatrixType::Tridiagonal; |
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|
4213 } |
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|
4214 } |
5164 | 4215 |
5785 | 4216 if (typ == MatrixType::Tridiagonal) |
10314
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|
4217 { |
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|
4218 OCTAVE_LOCAL_BUFFER (Complex, DU, nr - 1); |
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|
4219 OCTAVE_LOCAL_BUFFER (Complex, D, nr); |
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|
4220 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
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|
4221 |
07ebe522dac2
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|
4222 if (mattype.is_dense ()) |
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|
4223 { |
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|
4224 octave_idx_type ii = 0; |
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|
4225 |
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|
4226 for (octave_idx_type j = 0; j < nc-1; j++) |
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|
4227 { |
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changeset
|
4228 D[j] = data(ii++); |
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changeset
|
4229 DL[j] = data(ii++); |
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changeset
|
4230 DU[j] = data(ii++); |
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|
4231 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4232 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4233 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4234 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4235 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4236 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4237 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
|
4238 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4239 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4240 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4241 DU[i] = 0.; |
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 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4245 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
|
4246 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4247 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4248 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4249 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4250 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4251 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4252 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4253 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4254 } |
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 octave_idx_type b_nr = b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4257 octave_idx_type b_nc = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4258 rcond = 1.; |
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 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4261 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4262 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4263 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
|
4264 b_nr, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4265 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4266 if (err != 0) |
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 rcond = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4269 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4270 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4271 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4272 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4273 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4274 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4275 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4276 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4277 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4278 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4279 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4280 } |
5785 | 4281 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4282 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4283 } |
4284 | |
4285 return retval; | |
4286 } | |
4287 | |
4288 SparseComplexMatrix | |
5785 | 4289 SparseMatrix::trisolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4290 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4291 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4292 bool calc_cond) const |
5164 | 4293 { |
4294 SparseComplexMatrix retval; | |
4295 | |
5275 | 4296 octave_idx_type nr = rows (); |
4297 octave_idx_type nc = cols (); | |
5164 | 4298 err = 0; |
4299 | |
6924 | 4300 if (nr != nc || nr != b.rows ()) |
5164 | 4301 (*current_liboctave_error_handler) |
4302 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4303 else if (nr == 0 || b.cols () == 0) |
4304 retval = SparseComplexMatrix (nc, b.cols ()); | |
5681 | 4305 else if (calc_cond) |
4306 (*current_liboctave_error_handler) | |
4307 ("calculation of condition number not implemented"); | |
5164 | 4308 else |
4309 { | |
4310 // Print spparms("spumoni") info if requested | |
4311 int typ = mattype.type (); | |
4312 mattype.info (); | |
4313 | |
4314 // Note can't treat symmetric case as there is no dpttrf function | |
5785 | 4315 if (typ == MatrixType::Tridiagonal || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4316 typ == MatrixType::Tridiagonal_Hermitian) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4317 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4318 OCTAVE_LOCAL_BUFFER (double, DU2, nr - 2); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4319 OCTAVE_LOCAL_BUFFER (double, DU, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4320 OCTAVE_LOCAL_BUFFER (double, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4321 OCTAVE_LOCAL_BUFFER (double, DL, nr - 1); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4322 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4323 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4324 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4325 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4326 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4327 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4328 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4329 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
|
4330 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4331 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4332 DL[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4333 DU[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4334 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4335 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4336 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4337 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4338 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4339 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4340 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
|
4341 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4342 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4343 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4344 DU[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4345 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4346 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4347 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4348 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
|
4349 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4350 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4351 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4352 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4353 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4354 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4355 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4356 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4357 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4358 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4359 F77_XFCN (dgttrf, DGTTRF, (nr, DL, D, DU, DU2, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4360 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4361 if (err != 0) |
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 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4364 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4365 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4366 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4367 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4368 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4369 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4370 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4371 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4372 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4373 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4374 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4375 else |
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 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4378 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4379 octave_idx_type b_nr = b.rows (); |
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|
4380 octave_idx_type b_nc = b.cols (); |
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|
4381 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
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untabify liboctave C++ sources
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diff
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|
4382 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
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diff
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|
4383 |
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|
4384 // Take a first guess that the number of non-zero terms |
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untabify liboctave C++ sources
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|
4385 // will be as many as in b |
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|
4386 volatile octave_idx_type x_nz = b.nnz (); |
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untabify liboctave C++ sources
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|
4387 volatile octave_idx_type ii = 0; |
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|
4388 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
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|
4389 |
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|
4390 retval.xcidx(0) = 0; |
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|
4391 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
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changeset
|
4392 { |
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diff
changeset
|
4393 |
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diff
changeset
|
4394 for (octave_idx_type i = 0; i < b_nr; i++) |
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untabify liboctave C++ sources
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diff
changeset
|
4395 { |
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diff
changeset
|
4396 Complex c = b (i,j); |
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diff
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|
4397 Bx[i] = std::real (c); |
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untabify liboctave C++ sources
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diff
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|
4398 Bz[i] = std::imag (c); |
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diff
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|
4399 } |
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changeset
|
4400 |
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changeset
|
4401 F77_XFCN (dgttrs, DGTTRS, |
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|
4402 (F77_CONST_CHAR_ARG2 (&job, 1), |
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diff
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|
4403 nr, 1, DL, D, DU, DU2, pipvt, |
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untabify liboctave C++ sources
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diff
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|
4404 Bx, b_nr, err |
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diff
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|
4405 F77_CHAR_ARG_LEN (1))); |
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|
4406 |
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|
4407 if (err != 0) |
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diff
changeset
|
4408 { |
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|
4409 (*current_liboctave_error_handler) |
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diff
changeset
|
4410 ("SparseMatrix::solve solve failed"); |
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|
4411 |
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diff
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|
4412 err = -1; |
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diff
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|
4413 break; |
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diff
changeset
|
4414 } |
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|
4415 |
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|
4416 F77_XFCN (dgttrs, DGTTRS, |
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|
4417 (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
4418 nr, 1, DL, D, DU, DU2, pipvt, |
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|
4419 Bz, b_nr, err |
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|
4420 F77_CHAR_ARG_LEN (1))); |
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|
4421 |
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|
4422 if (err != 0) |
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|
4423 { |
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|
4424 (*current_liboctave_error_handler) |
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|
4425 ("SparseMatrix::solve solve failed"); |
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|
4426 |
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|
4427 err = -1; |
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|
4428 break; |
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|
4429 } |
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|
4430 |
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|
4431 // Count non-zeros in work vector and adjust |
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|
4432 // space in retval if needed |
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|
4433 octave_idx_type new_nnz = 0; |
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|
4434 for (octave_idx_type i = 0; i < nr; i++) |
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|
4435 if (Bx[i] != 0. || Bz[i] != 0.) |
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diff
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|
4436 new_nnz++; |
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|
4437 |
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|
4438 if (ii + new_nnz > x_nz) |
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|
4439 { |
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changeset
|
4440 // Resize the sparse matrix |
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|
4441 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
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|
4442 retval.change_capacity (sz); |
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|
4443 x_nz = sz; |
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|
4444 } |
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changeset
|
4445 |
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changeset
|
4446 for (octave_idx_type i = 0; i < nr; i++) |
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|
4447 if (Bx[i] != 0. || Bz[i] != 0.) |
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|
4448 { |
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changeset
|
4449 retval.xridx(ii) = i; |
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|
4450 retval.xdata(ii++) = |
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changeset
|
4451 Complex (Bx[i], Bz[i]); |
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|
4452 } |
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|
4453 |
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changeset
|
4454 retval.xcidx(j+1) = ii; |
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|
4455 } |
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changeset
|
4456 |
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|
4457 retval.maybe_compress (); |
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|
4458 } |
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|
4459 } |
5785 | 4460 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
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|
4461 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4462 } |
4463 | |
4464 return retval; | |
4465 } | |
4466 | |
4467 Matrix | |
5785 | 4468 SparseMatrix::bsolve (MatrixType &mattype, const Matrix& b, |
10314
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|
4469 octave_idx_type& err, double& rcond, |
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changeset
|
4470 solve_singularity_handler sing_handler, |
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|
4471 bool calc_cond) const |
5164 | 4472 { |
4473 Matrix retval; | |
4474 | |
5275 | 4475 octave_idx_type nr = rows (); |
4476 octave_idx_type nc = cols (); | |
5164 | 4477 err = 0; |
4478 | |
6924 | 4479 if (nr != nc || nr != b.rows ()) |
5164 | 4480 (*current_liboctave_error_handler) |
4481 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4482 else if (nr == 0 || b.cols () == 0) |
4483 retval = Matrix (nc, b.cols (), 0.0); | |
5164 | 4484 else |
4485 { | |
4486 // Print spparms("spumoni") info if requested | |
4487 volatile int typ = mattype.type (); | |
4488 mattype.info (); | |
4489 | |
5785 | 4490 if (typ == MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
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|
4491 { |
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|
4492 octave_idx_type n_lower = mattype.nlower (); |
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|
4493 octave_idx_type ldm = n_lower + 1; |
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|
4494 Matrix m_band (ldm, nc); |
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|
4495 double *tmp_data = m_band.fortran_vec (); |
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|
4496 |
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|
4497 if (! mattype.is_dense ()) |
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|
4498 { |
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changeset
|
4499 octave_idx_type ii = 0; |
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|
4500 |
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changeset
|
4501 for (octave_idx_type j = 0; j < ldm; j++) |
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|
4502 for (octave_idx_type i = 0; i < nc; i++) |
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|
4503 tmp_data[ii++] = 0.; |
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|
4504 } |
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changeset
|
4505 |
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|
4506 for (octave_idx_type j = 0; j < nc; j++) |
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|
4507 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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|
4508 { |
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|
4509 octave_idx_type ri = ridx (i); |
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|
4510 if (ri >= j) |
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|
4511 m_band(ri - j, j) = data(i); |
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|
4512 } |
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|
4513 |
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|
4514 // Calculate the norm of the matrix, for later use. |
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|
4515 double anorm; |
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|
4516 if (calc_cond) |
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|
4517 anorm = m_band.abs().sum().row(0).max(); |
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|
4518 |
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4519 char job = 'L'; |
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changeset
|
4520 F77_XFCN (dpbtrf, DPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
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diff
changeset
|
4521 nr, n_lower, tmp_data, ldm, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4522 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4523 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4524 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4525 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4526 // Matrix is not positive definite!! Fall through to |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4527 // unsymmetric banded solver. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4528 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4529 typ = MatrixType::Banded; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4530 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4531 err = 0; |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4534 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4535 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4536 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4537 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4538 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4539 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4540 octave_idx_type *piz = iz.fortran_vec (); |
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 F77_XFCN (dpbcon, DPBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4543 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4544 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4545 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4546 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4547 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4548 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4549 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4550 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4551 volatile double rcond_plus_one = rcond + 1.0; |
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 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4554 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4555 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4556 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4557 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4558 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4559 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4560 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4561 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4562 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4563 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4564 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4565 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4566 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4567 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4568 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4569 rcond = 1.; |
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 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4572 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4573 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4574 double *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4575 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4576 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4577 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4578 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4579 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4580 nr, n_lower, b_nc, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4581 ldm, result, b.rows(), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4582 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4583 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4584 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4585 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4586 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4587 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4588 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4589 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4590 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4591 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4592 } |
5164 | 4593 |
5785 | 4594 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4595 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4596 // 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
|
4597 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4598 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4599 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
|
4600 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4601 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4602 double *tmp_data = m_band.fortran_vec (); |
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>
parents:
10158
diff
changeset
|
4604 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4605 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4606 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4607 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4608 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4609 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4610 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4611 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4612 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4613 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4614 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
|
4615 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
|
4616 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4617 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4618 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4619 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4620 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4621 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4622 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4623 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4624 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
|
4625 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4626 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4627 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4628 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4629 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4630 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4631 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4632 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4633 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4634 F77_XFCN (dgbtrf, DGBTRF, (nr, nr, n_lower, n_upper, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4635 ldm, pipvt, err)); |
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 // Throw-away extra info LAPACK gives so as to not |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4638 // change output. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4639 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4640 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4641 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4642 rcond = 0.0; |
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 if (sing_handler) |
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 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4647 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4648 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4649 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4650 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4651 ("matrix singular to machine precision"); |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4654 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4655 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4656 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4657 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4658 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4659 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4660 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4661 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4662 octave_idx_type *piz = iz.fortran_vec (); |
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 F77_XFCN (dgbcon, DGBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4665 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4666 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4667 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4668 F77_CHAR_ARG_LEN (1))); |
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 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4671 err = -2; |
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 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4674 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4675 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4676 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4677 err = -2; |
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 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4680 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4681 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4682 mattype.mark_as_rectangular (); |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4685 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4686 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4687 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4688 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4689 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4690 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4691 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4692 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4693 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4694 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4695 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4696 double *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4697 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4698 octave_idx_type b_nc = b.cols (); |
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 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4701 F77_XFCN (dgbtrs, DGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4702 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4703 nr, n_lower, n_upper, b_nc, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4704 ldm, pipvt, result, b.rows(), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4705 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4706 } |
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 } |
5785 | 4709 else if (typ != MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4710 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4711 } |
4712 | |
4713 return retval; | |
4714 } | |
4715 | |
4716 SparseMatrix | |
5785 | 4717 SparseMatrix::bsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4718 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4719 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4720 bool calc_cond) const |
5164 | 4721 { |
4722 SparseMatrix retval; | |
4723 | |
5275 | 4724 octave_idx_type nr = rows (); |
4725 octave_idx_type nc = cols (); | |
5164 | 4726 err = 0; |
4727 | |
6924 | 4728 if (nr != nc || nr != b.rows ()) |
5164 | 4729 (*current_liboctave_error_handler) |
4730 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4731 else if (nr == 0 || b.cols () == 0) |
4732 retval = SparseMatrix (nc, b.cols ()); | |
5164 | 4733 else |
4734 { | |
4735 // Print spparms("spumoni") info if requested | |
4736 volatile int typ = mattype.type (); | |
4737 mattype.info (); | |
4738 | |
5785 | 4739 if (typ == MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4740 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4741 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4742 octave_idx_type ldm = n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4743 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4744 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4745 double *tmp_data = m_band.fortran_vec (); |
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 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4748 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4749 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4750 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4751 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4752 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4753 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4754 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4755 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4756 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4757 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
|
4758 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4759 octave_idx_type ri = ridx (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4760 if (ri >= j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4761 m_band(ri - j, 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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4764 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4765 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4766 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4767 anorm = m_band.abs().sum().row(0).max(); |
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 char job = 'L'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4770 F77_XFCN (dpbtrf, DPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4771 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
|
4772 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4773 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4774 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4775 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4776 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4777 typ = MatrixType::Banded; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4778 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4779 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4780 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4781 else |
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 (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4784 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4785 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4786 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4787 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4788 octave_idx_type *piz = iz.fortran_vec (); |
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 F77_XFCN (dpbcon, DPBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4791 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4792 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4793 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4794 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4795 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4796 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4797 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4798 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4799 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4800 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4801 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4802 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4803 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4804 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4805 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4806 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4807 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4808 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4809 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4810 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4811 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4812 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4813 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4814 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4815 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4816 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4817 rcond = 1.; |
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 (err == 0) |
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 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4822 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4823 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
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 // 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
|
4826 // will be as many as in b |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4827 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4828 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4829 retval = SparseMatrix (b_nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4830 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4831 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4832 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
|
4833 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4834 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
|
4835 Bx[i] = b.elem (i, j); |
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 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4838 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4839 nr, n_lower, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4840 ldm, Bx, b_nr, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4841 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4842 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4843 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4844 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4845 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4846 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4847 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4848 break; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4851 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
|
4852 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4853 double tmp = Bx[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4854 if (tmp != 0.0) |
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 if (ii == x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4857 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4858 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4859 octave_idx_type sz = x_nz * |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4860 (b_nc - j) / b_nc; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4861 sz = (sz > 10 ? sz : 10) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4862 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4863 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4864 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4865 retval.xdata(ii) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4866 retval.xridx(ii++) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4867 } |
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 retval.xcidx(j+1) = ii; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4872 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4873 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4874 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4875 } |
5164 | 4876 |
5785 | 4877 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4878 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4879 // 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
|
4880 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4881 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4882 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
|
4883 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4884 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4885 double *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4886 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4887 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4888 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4889 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4890 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4891 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4892 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4893 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4894 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4895 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4896 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4897 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
|
4898 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
|
4899 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4900 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4901 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4902 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4903 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4904 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4905 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4906 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4907 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
|
4908 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4909 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4910 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4911 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4912 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4913 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4914 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4915 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4916 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4917 F77_XFCN (dgbtrf, DGBTRF, (nr, nr, n_lower, n_upper, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4918 ldm, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4919 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4920 if (err != 0) |
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>
parents:
10158
diff
changeset
|
4922 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4923 rcond = 0.0; |
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 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4926 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4927 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4928 mattype.mark_as_rectangular (); |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4931 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4932 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4933 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4934 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4935 else |
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>
parents:
10158
diff
changeset
|
4937 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4938 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4939 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4940 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4941 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4942 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4943 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4944 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4945 F77_XFCN (dgbcon, DGBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4946 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4947 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4948 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4949 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4950 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4951 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4952 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4953 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4954 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4955 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4956 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4957 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4958 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4959 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4960 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4961 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4962 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4963 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4964 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4965 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4966 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4967 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4968 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4969 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4970 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4971 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4972 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4973 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4974 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4975 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4976 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4977 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4978 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4979 retval = SparseMatrix (nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4980 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4981 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4982 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4983 OCTAVE_LOCAL_BUFFER (double, work, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4984 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4985 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
|
4986 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4987 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4988 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4989 for (octave_idx_type i = b.cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4990 i < b.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4991 work[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4992 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4993 F77_XFCN (dgbtrs, DGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4994 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4995 nr, n_lower, n_upper, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4996 ldm, pipvt, work, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4997 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4998 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4999 // Count non-zeros in work vector and adjust |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5000 // space in retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5001 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5002 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5003 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5004 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5005 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5006 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5007 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5008 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5009 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
|
5010 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5011 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5012 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5013 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5014 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5015 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5016 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5017 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5018 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5019 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5020 retval.xcidx(j+1) = ii; |
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 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5024 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5025 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5026 } |
5785 | 5027 else if (typ != MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5028 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 5029 } |
5030 | |
5031 return retval; | |
5032 } | |
5033 | |
5034 ComplexMatrix | |
5785 | 5035 SparseMatrix::bsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5036 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5037 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5038 bool calc_cond) const |
5164 | 5039 { |
5040 ComplexMatrix retval; | |
5041 | |
5275 | 5042 octave_idx_type nr = rows (); |
5043 octave_idx_type nc = cols (); | |
5164 | 5044 err = 0; |
5045 | |
6924 | 5046 if (nr != nc || nr != b.rows ()) |
5164 | 5047 (*current_liboctave_error_handler) |
5048 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 5049 else if (nr == 0 || b.cols () == 0) |
5050 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 5051 else |
5052 { | |
5053 // Print spparms("spumoni") info if requested | |
5054 volatile int typ = mattype.type (); | |
5055 mattype.info (); | |
5056 | |
5785 | 5057 if (typ == MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5058 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5059 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5060 octave_idx_type ldm = n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5061 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5062 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5063 double *tmp_data = m_band.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 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5066 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5067 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5068 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5069 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5070 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5071 tmp_data[ii++] = 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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5074 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5075 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
|
5076 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5077 octave_idx_type ri = ridx (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5078 if (ri >= j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5079 m_band(ri - j, j) = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5080 } |
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 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5083 double anorm; |
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 anorm = m_band.abs().sum().row(0).max(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5086 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5087 char job = 'L'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5088 F77_XFCN (dpbtrf, DPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5089 nr, n_lower, tmp_data, ldm, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5090 F77_CHAR_ARG_LEN (1))); |
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 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5093 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5094 // Matrix is not positive definite!! Fall through to |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5095 // unsymmetric banded solver. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5096 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5097 typ = MatrixType::Banded; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5098 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5099 err = 0; |
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 else |
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 (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5104 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5105 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5106 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5107 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5108 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5109 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5110 F77_XFCN (dpbcon, DPBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5111 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5112 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5113 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5114 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5115 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5116 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5117 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5118 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5119 volatile double rcond_plus_one = rcond + 1.0; |
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 (rcond_plus_one == 1.0 || xisnan (rcond)) |
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 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5124 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5125 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5126 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5127 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5128 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5129 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5130 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5131 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5132 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5133 rcond); |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5136 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5137 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5138 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5139 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5140 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5141 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5142 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5143 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5144 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5145 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5146 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5147 retval.resize (b_nr, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5148 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5149 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
|
5150 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5151 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
|
5152 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5153 Complex c = b (i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5154 Bx[i] = std::real (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5155 Bz[i] = std::imag (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5156 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5157 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5158 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5159 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5160 nr, n_lower, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5161 ldm, Bx, b_nr, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5162 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5163 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5164 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5165 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5166 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5167 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5168 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5169 break; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5170 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5171 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5172 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5173 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5174 nr, n_lower, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5175 ldm, Bz, b.rows(), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5176 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5177 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5178 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5179 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5180 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5181 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5182 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5183 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5184 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5185 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5186 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
|
5187 retval (i, j) = Complex (Bx[i], Bz[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5188 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5189 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5190 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5191 } |
5164 | 5192 |
5785 | 5193 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5194 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5195 // 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
|
5196 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5197 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5198 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
|
5199 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5200 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5201 double *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5202 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5203 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5204 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5205 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5206 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5207 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5208 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5209 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5210 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5211 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5212 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5213 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
|
5214 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
|
5215 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5216 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5217 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5218 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5219 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5220 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5221 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5222 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5223 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
|
5224 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5225 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5226 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5227 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5228 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5229 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5230 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5231 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5232 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5233 F77_XFCN (dgbtrf, DGBTRF, (nr, nr, n_lower, n_upper, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5234 ldm, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5235 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5236 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5237 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5238 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5239 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5240 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5241 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5242 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5243 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5244 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5245 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5246 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5247 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5248 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5249 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5250 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5251 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5252 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5253 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5254 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5255 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5256 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5257 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5258 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5259 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5260 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5261 F77_XFCN (dpbcon, DPBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5262 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5263 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5264 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5265 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5266 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5267 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5268 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5269 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5270 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5271 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5272 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5273 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5274 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5275 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5276 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5277 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5278 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5279 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5280 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5281 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5282 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5283 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5284 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5285 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5286 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5287 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5288 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5289 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5290 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5291 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5292 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5293 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5294 retval.resize (nr,b_nc); |
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 OCTAVE_LOCAL_BUFFER (double, Bz, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5297 OCTAVE_LOCAL_BUFFER (double, Bx, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5298 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5299 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
|
5300 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5301 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5302 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5303 Complex c = b (i, j); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5304 Bx[i] = std::real (c); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5305 Bz[i] = std::imag (c); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5306 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5307 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5308 F77_XFCN (dgbtrs, DGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5309 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5310 nr, n_lower, n_upper, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5311 ldm, pipvt, Bx, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5312 F77_CHAR_ARG_LEN (1))); |
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>
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10158
diff
changeset
|
5314 F77_XFCN (dgbtrs, DGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5315 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5316 nr, n_lower, n_upper, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5317 ldm, pipvt, Bz, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
5318 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5319 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5320 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5321 retval (i, j) = Complex (Bx[i], Bz[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5322 } |
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 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5325 } |
5785 | 5326 else if (typ != MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5327 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 5328 } |
5329 | |
5330 return retval; | |
5331 } | |
5332 | |
5333 SparseComplexMatrix | |
5785 | 5334 SparseMatrix::bsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5335 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5336 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
5337 bool calc_cond) const |
5164 | 5338 { |
5339 SparseComplexMatrix retval; | |
5340 | |
5275 | 5341 octave_idx_type nr = rows (); |
5342 octave_idx_type nc = cols (); | |
5164 | 5343 err = 0; |
5344 | |
6924 | 5345 if (nr != nc || nr != b.rows ()) |
5164 | 5346 (*current_liboctave_error_handler) |
5347 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 5348 else if (nr == 0 || b.cols () == 0) |
5349 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 5350 else |
5351 { | |
5352 // Print spparms("spumoni") info if requested | |
5353 volatile int typ = mattype.type (); | |
5354 mattype.info (); | |
5355 | |
5785 | 5356 if (typ == MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5357 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5358 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
5359 octave_idx_type ldm = n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5360 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5361 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5362 double *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5363 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5364 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5365 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5366 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5367 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5368 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
5369 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5370 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5371 } |
07ebe522dac2
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10158
diff
changeset
|
5372 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5373 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
|
5374 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
|
5375 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5376 octave_idx_type ri = ridx (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5377 if (ri >= j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5378 m_band(ri - j, j) = data(i); |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5381 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5382 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5383 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5384 anorm = m_band.abs().sum().row(0).max(); |
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 char job = 'L'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5387 F77_XFCN (dpbtrf, DPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5388 nr, n_lower, tmp_data, ldm, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5389 F77_CHAR_ARG_LEN (1))); |
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 (err != 0) |
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 // Matrix is not positive definite!! Fall through to |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5394 // unsymmetric banded solver. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5395 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5396 typ = MatrixType::Banded; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5397 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5398 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5399 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5400 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5401 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5402 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5403 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5404 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5405 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5406 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5407 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5408 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5409 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5410 F77_XFCN (dpbcon, DPBCON, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5411 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5412 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5413 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5414 F77_CHAR_ARG_LEN (1))); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
5415 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5416 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5417 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5418 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5419 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5420 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5421 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5422 { |
07ebe522dac2
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10158
diff
changeset
|
5423 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5424 |
07ebe522dac2
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diff
changeset
|
5425 if (sing_handler) |
07ebe522dac2
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10158
diff
changeset
|
5426 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5427 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5428 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5429 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5430 else |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
5431 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5432 ("matrix singular to machine precision, rcond = %g", |
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untabify liboctave C++ sources
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10158
diff
changeset
|
5433 rcond); |
07ebe522dac2
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10158
diff
changeset
|
5434 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5435 } |
07ebe522dac2
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10158
diff
changeset
|
5436 else |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5437 rcond = 1.; |
07ebe522dac2
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changeset
|
5438 |
07ebe522dac2
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10158
diff
changeset
|
5439 if (err == 0) |
07ebe522dac2
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10158
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changeset
|
5440 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5441 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5442 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5443 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5444 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5445 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5446 // 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
|
5447 // will be as many as in b |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5448 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5449 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5450 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5451 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5452 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5453 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
|
5454 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5455 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5456 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
|
5457 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5458 Complex c = b (i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5459 Bx[i] = std::real (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5460 Bz[i] = std::imag (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5461 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5462 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5463 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5464 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5465 nr, n_lower, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5466 ldm, Bx, b_nr, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5467 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5468 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5469 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5470 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5471 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5472 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5473 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5474 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5475 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5476 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5477 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5478 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5479 nr, n_lower, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5480 ldm, Bz, b_nr, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5481 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5482 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5483 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5484 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5485 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5486 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5487 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5488 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5489 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5490 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5491 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5492 // Count non-zeros in work vector and adjust |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5493 // space in retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5494 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5495 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5496 if (Bx[i] != 0. || Bz[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5497 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5498 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5499 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5500 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5501 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5502 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
|
5503 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5504 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5505 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5506 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5507 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5508 if (Bx[i] != 0. || Bz[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5509 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5510 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5511 retval.xdata(ii++) = |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5512 Complex (Bx[i], Bz[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5513 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5514 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5515 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5516 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5517 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5518 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5519 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5520 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5521 } |
5164 | 5522 |
5785 | 5523 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5524 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5525 // 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
|
5526 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5527 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5528 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
|
5529 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5530 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5531 double *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5532 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5533 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5534 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5535 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5536 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5537 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5538 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5539 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5540 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5541 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5542 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5543 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
|
5544 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
|
5545 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5546 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5547 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5548 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5549 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5550 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5551 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5552 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5553 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5554 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5555 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5556 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5557 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5558 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5559 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5560 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5561 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5562 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5563 F77_XFCN (dgbtrf, DGBTRF, (nr, nr, n_lower, n_upper, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5564 ldm, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5565 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5566 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5567 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5568 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5569 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5570 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5571 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5572 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5573 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5574 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5575 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5576 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5577 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5578 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5579 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5580 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5581 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5582 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5583 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5584 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5585 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5586 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5587 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5588 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5589 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5590 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5591 F77_XFCN (dgbcon, DGBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5592 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5593 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5594 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5595 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5596 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5597 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5598 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5599 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5600 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5601 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5602 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5603 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5604 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5605 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5606 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5607 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5608 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5609 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5610 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5611 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5612 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5613 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5614 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5615 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5616 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5617 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5618 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5619 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5620 if (err == 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 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5623 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5624 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5625 retval = SparseComplexMatrix (nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5626 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5627 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5628 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5629 OCTAVE_LOCAL_BUFFER (double, Bx, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5630 OCTAVE_LOCAL_BUFFER (double, Bz, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5631 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5632 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
|
5633 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5634 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5635 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5636 Bx[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5637 Bz[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5638 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5639 for (octave_idx_type i = b.cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5640 i < b.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5641 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5642 Complex c = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5643 Bx[b.ridx(i)] = std::real (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5644 Bz[b.ridx(i)] = std::imag (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5645 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5646 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5647 F77_XFCN (dgbtrs, DGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5648 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5649 nr, n_lower, n_upper, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5650 ldm, pipvt, Bx, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5651 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5652 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5653 F77_XFCN (dgbtrs, DGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5654 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5655 nr, n_lower, n_upper, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5656 ldm, pipvt, Bz, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5657 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5658 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5659 // Count non-zeros in work vector and adjust |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5660 // space in retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5661 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5662 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5663 if (Bx[i] != 0. || Bz[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5664 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5665 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5666 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5667 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5668 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5669 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
|
5670 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5671 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5672 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5673 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5674 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5675 if (Bx[i] != 0. || Bz[i] != 0.) |
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 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5678 retval.xdata(ii++) = |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5679 Complex (Bx[i], Bz[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5680 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5681 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5682 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5683 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5684 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5685 } |
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 } |
5785 | 5688 else if (typ != MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5689 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 5690 } |
5691 | |
5692 return retval; | |
5693 } | |
5694 | |
5695 void * | |
5681 | 5696 SparseMatrix::factorize (octave_idx_type& err, double &rcond, Matrix &Control, |
10314
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|
5697 Matrix &Info, solve_singularity_handler sing_handler, |
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|
5698 bool calc_cond) const |
5164 | 5699 { |
5700 // The return values | |
5404 | 5701 void *Numeric = 0; |
5164 | 5702 err = 0; |
5703 | |
5203 | 5704 #ifdef HAVE_UMFPACK |
5164 | 5705 // Setup the control parameters |
5706 Control = Matrix (UMFPACK_CONTROL, 1); | |
5707 double *control = Control.fortran_vec (); | |
5322 | 5708 UMFPACK_DNAME (defaults) (control); |
5164 | 5709 |
5893 | 5710 double tmp = octave_sparse_params::get_key ("spumoni"); |
5164 | 5711 if (!xisnan (tmp)) |
5712 Control (UMFPACK_PRL) = tmp; | |
5893 | 5713 tmp = octave_sparse_params::get_key ("piv_tol"); |
5164 | 5714 if (!xisnan (tmp)) |
5715 { | |
5716 Control (UMFPACK_SYM_PIVOT_TOLERANCE) = tmp; | |
5717 Control (UMFPACK_PIVOT_TOLERANCE) = tmp; | |
5718 } | |
5719 | |
5720 // Set whether we are allowed to modify Q or not | |
5893 | 5721 tmp = octave_sparse_params::get_key ("autoamd"); |
5164 | 5722 if (!xisnan (tmp)) |
5723 Control (UMFPACK_FIXQ) = tmp; | |
5724 | |
5322 | 5725 UMFPACK_DNAME (report_control) (control); |
5164 | 5726 |
5275 | 5727 const octave_idx_type *Ap = cidx (); |
5728 const octave_idx_type *Ai = ridx (); | |
5164 | 5729 const double *Ax = data (); |
5275 | 5730 octave_idx_type nr = rows (); |
5731 octave_idx_type nc = cols (); | |
5164 | 5732 |
5322 | 5733 UMFPACK_DNAME (report_matrix) (nr, nc, Ap, Ai, Ax, 1, control); |
5164 | 5734 |
5735 void *Symbolic; | |
5736 Info = Matrix (1, UMFPACK_INFO); | |
5737 double *info = Info.fortran_vec (); | |
7520 | 5738 int status = UMFPACK_DNAME (qsymbolic) (nr, nc, Ap, Ai, Ax, 0, |
10314
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|
5739 &Symbolic, control, info); |
5164 | 5740 |
5741 if (status < 0) | |
5742 { | |
5743 (*current_liboctave_error_handler) | |
10314
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|
5744 ("SparseMatrix::solve symbolic factorization failed"); |
5164 | 5745 err = -1; |
5746 | |
5322 | 5747 UMFPACK_DNAME (report_status) (control, status); |
5748 UMFPACK_DNAME (report_info) (control, info); | |
5749 | |
5750 UMFPACK_DNAME (free_symbolic) (&Symbolic) ; | |
5164 | 5751 } |
5752 else | |
5753 { | |
5322 | 5754 UMFPACK_DNAME (report_symbolic) (Symbolic, control); |
5755 | |
5756 status = UMFPACK_DNAME (numeric) (Ap, Ai, Ax, Symbolic, | |
10314
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diff
changeset
|
5757 &Numeric, control, info) ; |
5322 | 5758 UMFPACK_DNAME (free_symbolic) (&Symbolic) ; |
5164 | 5759 |
5681 | 5760 if (calc_cond) |
10314
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|
5761 rcond = Info (UMFPACK_RCOND); |
5681 | 5762 else |
10314
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|
5763 rcond = 1.; |
5164 | 5764 volatile double rcond_plus_one = rcond + 1.0; |
5765 | |
5766 if (status == UMFPACK_WARNING_singular_matrix || | |
10314
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|
5767 rcond_plus_one == 1.0 || xisnan (rcond)) |
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|
5768 { |
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changeset
|
5769 UMFPACK_DNAME (report_numeric) (Numeric, control); |
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|
5770 |
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|
5771 err = -2; |
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changeset
|
5772 |
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|
5773 if (sing_handler) |
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|
5774 sing_handler (rcond); |
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|
5775 else |
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|
5776 (*current_liboctave_error_handler) |
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changeset
|
5777 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
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diff
changeset
|
5778 rcond); |
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changeset
|
5779 |
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changeset
|
5780 } |
5610 | 5781 else if (status < 0) |
10314
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|
5782 { |
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changeset
|
5783 (*current_liboctave_error_handler) |
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changeset
|
5784 ("SparseMatrix::solve numeric factorization failed"); |
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changeset
|
5785 |
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changeset
|
5786 UMFPACK_DNAME (report_status) (control, status); |
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diff
changeset
|
5787 UMFPACK_DNAME (report_info) (control, info); |
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|
5788 |
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diff
changeset
|
5789 err = -1; |
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untabify liboctave C++ sources
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diff
changeset
|
5790 } |
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diff
changeset
|
5791 else |
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diff
changeset
|
5792 { |
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diff
changeset
|
5793 UMFPACK_DNAME (report_numeric) (Numeric, control); |
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diff
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|
5794 } |
5164 | 5795 } |
5796 | |
5797 if (err != 0) | |
5322 | 5798 UMFPACK_DNAME (free_numeric) (&Numeric); |
5164 | 5799 |
5203 | 5800 #else |
5801 (*current_liboctave_error_handler) ("UMFPACK not installed"); | |
5802 #endif | |
5803 | |
5164 | 5804 return Numeric; |
5805 } | |
5806 | |
5807 Matrix | |
5785 | 5808 SparseMatrix::fsolve (MatrixType &mattype, const Matrix& b, |
10314
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changeset
|
5809 octave_idx_type& err, double& rcond, |
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changeset
|
5810 solve_singularity_handler sing_handler, |
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|
5811 bool calc_cond) const |
5164 | 5812 { |
5813 Matrix retval; | |
5814 | |
5275 | 5815 octave_idx_type nr = rows (); |
5816 octave_idx_type nc = cols (); | |
5164 | 5817 err = 0; |
5818 | |
6924 | 5819 if (nr != nc || nr != b.rows ()) |
5164 | 5820 (*current_liboctave_error_handler) |
5821 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 5822 else if (nr == 0 || b.cols () == 0) |
5823 retval = Matrix (nc, b.cols (), 0.0); | |
5164 | 5824 else |
5825 { | |
5826 // Print spparms("spumoni") info if requested | |
5506 | 5827 volatile int typ = mattype.type (); |
5164 | 5828 mattype.info (); |
5829 | |
5785 | 5830 if (typ == MatrixType::Hermitian) |
10314
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|
5831 { |
5506 | 5832 #ifdef HAVE_CHOLMOD |
10314
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changeset
|
5833 cholmod_common Common; |
07ebe522dac2
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diff
changeset
|
5834 cholmod_common *cm = &Common; |
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|
5835 |
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diff
changeset
|
5836 // Setup initial parameters |
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diff
changeset
|
5837 CHOLMOD_NAME(start) (cm); |
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changeset
|
5838 cm->prefer_zomplex = false; |
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untabify liboctave C++ sources
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changeset
|
5839 |
07ebe522dac2
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changeset
|
5840 double spu = octave_sparse_params::get_key ("spumoni"); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5841 if (spu == 0.) |
07ebe522dac2
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diff
changeset
|
5842 { |
07ebe522dac2
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diff
changeset
|
5843 cm->print = -1; |
07ebe522dac2
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diff
changeset
|
5844 cm->print_function = 0; |
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diff
changeset
|
5845 } |
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diff
changeset
|
5846 else |
07ebe522dac2
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10158
diff
changeset
|
5847 { |
07ebe522dac2
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diff
changeset
|
5848 cm->print = static_cast<int> (spu) + 2; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5849 cm->print_function =&SparseCholPrint; |
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diff
changeset
|
5850 } |
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diff
changeset
|
5851 |
07ebe522dac2
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changeset
|
5852 cm->error_handler = &SparseCholError; |
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untabify liboctave C++ sources
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diff
changeset
|
5853 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
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diff
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|
5854 cm->hypotenuse = CHOLMOD_NAME(hypot); |
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changeset
|
5855 |
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changeset
|
5856 cm->final_ll = true; |
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changeset
|
5857 |
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changeset
|
5858 cholmod_sparse Astore; |
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changeset
|
5859 cholmod_sparse *A = &Astore; |
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changeset
|
5860 double dummy; |
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changeset
|
5861 A->nrow = nr; |
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|
5862 A->ncol = nc; |
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|
5863 |
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|
5864 A->p = cidx(); |
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|
5865 A->i = ridx(); |
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changeset
|
5866 A->nzmax = nnz(); |
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|
5867 A->packed = true; |
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|
5868 A->sorted = true; |
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changeset
|
5869 A->nz = 0; |
5506 | 5870 #ifdef IDX_TYPE_LONG |
10314
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|
5871 A->itype = CHOLMOD_LONG; |
5506 | 5872 #else |
10314
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changeset
|
5873 A->itype = CHOLMOD_INT; |
5506 | 5874 #endif |
10314
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changeset
|
5875 A->dtype = CHOLMOD_DOUBLE; |
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changeset
|
5876 A->stype = 1; |
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changeset
|
5877 A->xtype = CHOLMOD_REAL; |
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changeset
|
5878 |
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changeset
|
5879 if (nr < 1) |
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changeset
|
5880 A->x = &dummy; |
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changeset
|
5881 else |
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changeset
|
5882 A->x = data(); |
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changeset
|
5883 |
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changeset
|
5884 cholmod_dense Bstore; |
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changeset
|
5885 cholmod_dense *B = &Bstore; |
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changeset
|
5886 B->nrow = b.rows(); |
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changeset
|
5887 B->ncol = b.cols(); |
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changeset
|
5888 B->d = B->nrow; |
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changeset
|
5889 B->nzmax = B->nrow * B->ncol; |
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changeset
|
5890 B->dtype = CHOLMOD_DOUBLE; |
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changeset
|
5891 B->xtype = CHOLMOD_REAL; |
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changeset
|
5892 if (nc < 1 || b.cols() < 1) |
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changeset
|
5893 B->x = &dummy; |
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changeset
|
5894 else |
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changeset
|
5895 // We won't alter it, honest :-) |
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diff
changeset
|
5896 B->x = const_cast<double *>(b.fortran_vec()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5897 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5898 cholmod_factor *L; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5899 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5900 L = CHOLMOD_NAME(analyze) (A, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5901 CHOLMOD_NAME(factorize) (A, L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5902 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5903 rcond = CHOLMOD_NAME(rcond)(L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5904 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5905 rcond = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5906 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5907 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5908 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5909 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5910 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5911 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5912 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5913 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5914 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5915 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5916 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5917 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5918 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5919 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5920 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5921 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5922 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5923 if (sing_handler) |
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 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5926 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5927 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5928 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5929 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5930 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5931 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5932 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5933 return retval; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5934 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5935 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5936 cholmod_dense *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5937 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5938 X = CHOLMOD_NAME(solve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5939 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5940 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5941 retval.resize (b.rows (), b.cols()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5942 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
|
5943 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5944 octave_idx_type jr = j * b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5945 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
|
5946 retval.xelem(i,j) = static_cast<double *>(X->x)[jr + i]; |
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 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5949 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5950 CHOLMOD_NAME(free_dense) (&X, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5951 CHOLMOD_NAME(free_factor) (&L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5952 CHOLMOD_NAME(finish) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5953 static char tmp[] = " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5954 CHOLMOD_NAME(print_common) (tmp, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5955 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5956 } |
5506 | 5957 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5958 (*current_liboctave_warning_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5959 ("CHOLMOD not installed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5960 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5961 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5962 typ = MatrixType::Full; |
5506 | 5963 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5964 } |
5164 | 5965 |
5785 | 5966 if (typ == MatrixType::Full) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5967 { |
5203 | 5968 #ifdef HAVE_UMFPACK |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5969 Matrix Control, Info; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5970 void *Numeric = |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5971 factorize (err, rcond, Control, Info, sing_handler, calc_cond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5972 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5973 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5974 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5975 const double *Bx = b.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5976 retval.resize (b.rows (), b.cols()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5977 double *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5978 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5979 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5980 int status = 0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5981 double *control = Control.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5982 double *info = Info.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5983 const octave_idx_type *Ap = cidx (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5984 const octave_idx_type *Ai = ridx (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5985 const double *Ax = data (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5986 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5987 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>
parents:
10158
diff
changeset
|
5988 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5989 status = UMFPACK_DNAME (solve) (UMFPACK_A, Ap, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5990 Ai, Ax, &result[iidx], &Bx[iidx], |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5991 Numeric, control, info); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5992 if (status < 0) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5993 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5994 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5995 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5996 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5997 UMFPACK_DNAME (report_status) (control, status); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5998 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5999 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6000 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6001 break; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6002 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6003 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6004 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6005 UMFPACK_DNAME (report_info) (control, info); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6006 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6007 UMFPACK_DNAME (free_numeric) (&Numeric); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6008 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6009 else |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6010 mattype.mark_as_rectangular (); |
5681 | 6011 |
5203 | 6012 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6013 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 6014 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6015 } |
5785 | 6016 else if (typ != MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6017 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 6018 } |
6019 | |
6020 return retval; | |
6021 } | |
6022 | |
6023 SparseMatrix | |
5785 | 6024 SparseMatrix::fsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6025 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6026 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6027 bool calc_cond) const |
5164 | 6028 { |
6029 SparseMatrix retval; | |
6030 | |
5275 | 6031 octave_idx_type nr = rows (); |
6032 octave_idx_type nc = cols (); | |
5164 | 6033 err = 0; |
6034 | |
6924 | 6035 if (nr != nc || nr != b.rows ()) |
5164 | 6036 (*current_liboctave_error_handler) |
6037 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 6038 else if (nr == 0 || b.cols () == 0) |
6039 retval = SparseMatrix (nc, b.cols ()); | |
5164 | 6040 else |
6041 { | |
6042 // Print spparms("spumoni") info if requested | |
5506 | 6043 volatile int typ = mattype.type (); |
5164 | 6044 mattype.info (); |
6045 | |
5785 | 6046 if (typ == MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6047 { |
5506 | 6048 #ifdef HAVE_CHOLMOD |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6049 cholmod_common Common; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6050 cholmod_common *cm = &Common; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6051 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6052 // Setup initial parameters |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6053 CHOLMOD_NAME(start) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6054 cm->prefer_zomplex = false; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6055 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6056 double spu = octave_sparse_params::get_key ("spumoni"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6057 if (spu == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6058 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6059 cm->print = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6060 cm->print_function = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6061 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6062 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6063 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6064 cm->print = static_cast<int> (spu) + 2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6065 cm->print_function =&SparseCholPrint; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6066 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6067 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6068 cm->error_handler = &SparseCholError; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6069 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6070 cm->hypotenuse = CHOLMOD_NAME(hypot); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6071 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6072 cm->final_ll = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6073 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6074 cholmod_sparse Astore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6075 cholmod_sparse *A = &Astore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6076 double dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6077 A->nrow = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6078 A->ncol = nc; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6079 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6080 A->p = cidx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6081 A->i = ridx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6082 A->nzmax = nnz(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6083 A->packed = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6084 A->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6085 A->nz = 0; |
5506 | 6086 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6087 A->itype = CHOLMOD_LONG; |
5506 | 6088 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6089 A->itype = CHOLMOD_INT; |
5506 | 6090 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6091 A->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6092 A->stype = 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6093 A->xtype = CHOLMOD_REAL; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6094 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6095 if (nr < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6096 A->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6097 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6098 A->x = data(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6099 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6100 cholmod_sparse Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6101 cholmod_sparse *B = &Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6102 B->nrow = b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6103 B->ncol = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6104 B->p = b.cidx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6105 B->i = b.ridx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6106 B->nzmax = b.nnz(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6107 B->packed = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6108 B->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6109 B->nz = 0; |
5506 | 6110 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6111 B->itype = CHOLMOD_LONG; |
5506 | 6112 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6113 B->itype = CHOLMOD_INT; |
5506 | 6114 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6115 B->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6116 B->stype = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6117 B->xtype = CHOLMOD_REAL; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6118 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6119 if (b.rows() < 1 || b.cols() < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6120 B->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6121 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6122 B->x = b.data(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6123 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6124 cholmod_factor *L; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6125 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6126 L = CHOLMOD_NAME(analyze) (A, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6127 CHOLMOD_NAME(factorize) (A, L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6128 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6129 rcond = CHOLMOD_NAME(rcond)(L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6130 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6131 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6132 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6133 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6134 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6135 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6136 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6137 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6138 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6139 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6140 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6141 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6142 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6143 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6144 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6145 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6146 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6147 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6148 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6149 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6150 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6151 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6152 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6153 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6154 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6155 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6156 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6157 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6158 return retval; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6159 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6160 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6161 cholmod_sparse *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6162 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6163 X = CHOLMOD_NAME(spsolve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6164 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6165 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6166 retval = SparseMatrix (static_cast<octave_idx_type>(X->nrow), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6167 static_cast<octave_idx_type>(X->ncol), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6168 static_cast<octave_idx_type>(X->nzmax)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6169 for (octave_idx_type j = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6170 j <= static_cast<octave_idx_type>(X->ncol); j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6171 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
|
6172 for (octave_idx_type j = 0; |
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6173 j < static_cast<octave_idx_type>(X->nzmax); j++) |
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6174 { |
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6175 retval.xridx(j) = static_cast<octave_idx_type *>(X->i)[j]; |
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6176 retval.xdata(j) = static_cast<double *>(X->x)[j]; |
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6177 } |
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|
6178 |
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6179 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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6180 CHOLMOD_NAME(free_sparse) (&X, cm); |
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6181 CHOLMOD_NAME(free_factor) (&L, cm); |
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6182 CHOLMOD_NAME(finish) (cm); |
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6183 static char tmp[] = " "; |
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6184 CHOLMOD_NAME(print_common) (tmp, cm); |
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6185 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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6186 } |
5506 | 6187 #else |
10314
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6188 (*current_liboctave_warning_handler) |
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6189 ("CHOLMOD not installed"); |
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|
6190 |
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6191 mattype.mark_as_unsymmetric (); |
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6192 typ = MatrixType::Full; |
5506 | 6193 #endif |
10314
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6194 } |
5164 | 6195 |
5785 | 6196 if (typ == MatrixType::Full) |
10314
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6197 { |
5203 | 6198 #ifdef HAVE_UMFPACK |
10314
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6199 Matrix Control, Info; |
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6200 void *Numeric = factorize (err, rcond, Control, Info, |
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6201 sing_handler, calc_cond); |
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|
6202 |
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6203 if (err == 0) |
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|
6204 { |
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|
6205 octave_idx_type b_nr = b.rows (); |
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6206 octave_idx_type b_nc = b.cols (); |
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6207 int status = 0; |
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6208 double *control = Control.fortran_vec (); |
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6209 double *info = Info.fortran_vec (); |
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6210 const octave_idx_type *Ap = cidx (); |
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6211 const octave_idx_type *Ai = ridx (); |
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6212 const double *Ax = data (); |
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6213 |
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|
6214 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
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|
6215 OCTAVE_LOCAL_BUFFER (double, Xx, b_nr); |
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6216 |
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6217 // Take a first guess that the number of non-zero terms |
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6218 // will be as many as in b |
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6219 octave_idx_type x_nz = b.nnz (); |
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6220 octave_idx_type ii = 0; |
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6221 retval = SparseMatrix (b_nr, b_nc, x_nz); |
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|
6222 |
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6223 retval.xcidx(0) = 0; |
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6224 for (octave_idx_type j = 0; j < b_nc; j++) |
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|
6225 { |
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|
6226 |
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6227 for (octave_idx_type i = 0; i < b_nr; i++) |
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6228 Bx[i] = b.elem (i, j); |
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6229 |
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6230 status = UMFPACK_DNAME (solve) (UMFPACK_A, Ap, |
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6231 Ai, Ax, Xx, Bx, Numeric, control, |
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6232 info); |
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6233 if (status < 0) |
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|
6234 { |
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|
6235 (*current_liboctave_error_handler) |
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6236 ("SparseMatrix::solve solve failed"); |
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|
6237 |
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|
6238 UMFPACK_DNAME (report_status) (control, status); |
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|
6239 |
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|
6240 err = -1; |
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|
6241 |
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|
6242 break; |
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|
6243 } |
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|
6244 |
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|
6245 for (octave_idx_type i = 0; i < b_nr; i++) |
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|
6246 { |
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|
6247 double tmp = Xx[i]; |
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6248 if (tmp != 0.0) |
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|
6249 { |
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|
6250 if (ii == x_nz) |
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|
6251 { |
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changeset
|
6252 // Resize the sparse matrix |
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6253 octave_idx_type sz = x_nz * (b_nc - j) / b_nc; |
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6254 sz = (sz > 10 ? sz : 10) + x_nz; |
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6255 retval.change_capacity (sz); |
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|
6256 x_nz = sz; |
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|
6257 } |
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6258 retval.xdata(ii) = tmp; |
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6259 retval.xridx(ii++) = i; |
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6260 } |
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changeset
|
6261 } |
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6262 retval.xcidx(j+1) = ii; |
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|
6263 } |
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|
6264 |
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6265 retval.maybe_compress (); |
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6266 |
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6267 UMFPACK_DNAME (report_info) (control, info); |
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6268 |
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6269 UMFPACK_DNAME (free_numeric) (&Numeric); |
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6270 } |
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6271 else |
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6272 mattype.mark_as_rectangular (); |
5681 | 6273 |
5203 | 6274 #else |
10314
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6275 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 6276 #endif |
10314
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6277 } |
5785 | 6278 else if (typ != MatrixType::Hermitian) |
10314
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6279 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 6280 } |
6281 | |
6282 return retval; | |
6283 } | |
6284 | |
6285 ComplexMatrix | |
5785 | 6286 SparseMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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6287 octave_idx_type& err, double& rcond, |
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6288 solve_singularity_handler sing_handler, |
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6289 bool calc_cond) const |
5164 | 6290 { |
6291 ComplexMatrix retval; | |
6292 | |
5275 | 6293 octave_idx_type nr = rows (); |
6294 octave_idx_type nc = cols (); | |
5164 | 6295 err = 0; |
6296 | |
6924 | 6297 if (nr != nc || nr != b.rows ()) |
5164 | 6298 (*current_liboctave_error_handler) |
6299 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 6300 else if (nr == 0 || b.cols () == 0) |
6301 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 6302 else |
6303 { | |
6304 // Print spparms("spumoni") info if requested | |
5506 | 6305 volatile int typ = mattype.type (); |
5164 | 6306 mattype.info (); |
6307 | |
5785 | 6308 if (typ == MatrixType::Hermitian) |
10314
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6309 { |
5506 | 6310 #ifdef HAVE_CHOLMOD |
10314
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6311 cholmod_common Common; |
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6312 cholmod_common *cm = &Common; |
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6313 |
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6314 // Setup initial parameters |
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6315 CHOLMOD_NAME(start) (cm); |
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6316 cm->prefer_zomplex = false; |
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6317 |
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6318 double spu = octave_sparse_params::get_key ("spumoni"); |
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6319 if (spu == 0.) |
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6320 { |
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6321 cm->print = -1; |
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|
6322 cm->print_function = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6323 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6324 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6325 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6326 cm->print = static_cast<int> (spu) + 2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6327 cm->print_function =&SparseCholPrint; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6328 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6329 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6330 cm->error_handler = &SparseCholError; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6331 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6332 cm->hypotenuse = CHOLMOD_NAME(hypot); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6333 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6334 cm->final_ll = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6335 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6336 cholmod_sparse Astore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6337 cholmod_sparse *A = &Astore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6338 double dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6339 A->nrow = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6340 A->ncol = nc; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6341 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6342 A->p = cidx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6343 A->i = ridx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6344 A->nzmax = nnz(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6345 A->packed = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6346 A->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6347 A->nz = 0; |
5506 | 6348 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6349 A->itype = CHOLMOD_LONG; |
5506 | 6350 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6351 A->itype = CHOLMOD_INT; |
5506 | 6352 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6353 A->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6354 A->stype = 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6355 A->xtype = CHOLMOD_REAL; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6356 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6357 if (nr < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6358 A->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6359 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6360 A->x = data(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6361 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6362 cholmod_dense Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6363 cholmod_dense *B = &Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6364 B->nrow = b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6365 B->ncol = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6366 B->d = B->nrow; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6367 B->nzmax = B->nrow * B->ncol; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6368 B->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6369 B->xtype = CHOLMOD_COMPLEX; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6370 if (nc < 1 || b.cols() < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6371 B->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6372 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6373 // We won't alter it, honest :-) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6374 B->x = const_cast<Complex *>(b.fortran_vec()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6375 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6376 cholmod_factor *L; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6377 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6378 L = CHOLMOD_NAME(analyze) (A, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6379 CHOLMOD_NAME(factorize) (A, L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6380 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6381 rcond = CHOLMOD_NAME(rcond)(L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6382 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6383 rcond = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6384 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6385 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6386 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6387 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6388 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6389 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6390 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6391 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6392 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6393 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6394 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6395 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6396 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6397 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6398 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6399 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6400 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6401 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6402 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6403 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6404 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6405 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6406 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6407 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6408 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6409 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6410 return retval; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6411 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6412 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6413 cholmod_dense *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6414 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6415 X = CHOLMOD_NAME(solve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6416 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6417 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6418 retval.resize (b.rows (), b.cols()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6419 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
|
6420 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6421 octave_idx_type jr = j * b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6422 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
|
6423 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
|
6424 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6425 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6426 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6427 CHOLMOD_NAME(free_dense) (&X, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6428 CHOLMOD_NAME(free_factor) (&L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6429 CHOLMOD_NAME(finish) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6430 static char tmp[] = " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6431 CHOLMOD_NAME(print_common) (tmp, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6432 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6433 } |
5506 | 6434 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6435 (*current_liboctave_warning_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6436 ("CHOLMOD not installed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6437 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6438 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6439 typ = MatrixType::Full; |
5506 | 6440 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6441 } |
5164 | 6442 |
5785 | 6443 if (typ == MatrixType::Full) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6444 { |
5203 | 6445 #ifdef HAVE_UMFPACK |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6446 Matrix Control, Info; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6447 void *Numeric = factorize (err, rcond, Control, Info, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6448 sing_handler, calc_cond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6449 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6450 if (err == 0) |
07ebe522dac2
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10158
diff
changeset
|
6451 { |
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untabify liboctave C++ sources
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diff
changeset
|
6452 octave_idx_type b_nr = b.rows (); |
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untabify liboctave C++ sources
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diff
changeset
|
6453 octave_idx_type b_nc = b.cols (); |
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untabify liboctave C++ sources
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diff
changeset
|
6454 int status = 0; |
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untabify liboctave C++ sources
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diff
changeset
|
6455 double *control = Control.fortran_vec (); |
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untabify liboctave C++ sources
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diff
changeset
|
6456 double *info = Info.fortran_vec (); |
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untabify liboctave C++ sources
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diff
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|
6457 const octave_idx_type *Ap = cidx (); |
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untabify liboctave C++ sources
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diff
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|
6458 const octave_idx_type *Ai = ridx (); |
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untabify liboctave C++ sources
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diff
changeset
|
6459 const double *Ax = data (); |
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untabify liboctave C++ sources
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diff
changeset
|
6460 |
07ebe522dac2
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diff
changeset
|
6461 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6462 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6463 |
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untabify liboctave C++ sources
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diff
changeset
|
6464 retval.resize (b_nr, b_nc); |
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untabify liboctave C++ sources
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diff
changeset
|
6465 |
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untabify liboctave C++ sources
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diff
changeset
|
6466 OCTAVE_LOCAL_BUFFER (double, Xx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6467 OCTAVE_LOCAL_BUFFER (double, Xz, b_nr); |
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untabify liboctave C++ sources
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diff
changeset
|
6468 |
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untabify liboctave C++ sources
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diff
changeset
|
6469 for (octave_idx_type j = 0; j < b_nc; j++) |
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untabify liboctave C++ sources
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diff
changeset
|
6470 { |
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untabify liboctave C++ sources
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diff
changeset
|
6471 for (octave_idx_type i = 0; i < b_nr; i++) |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6472 { |
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untabify liboctave C++ sources
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diff
changeset
|
6473 Complex c = b (i,j); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6474 Bx[i] = std::real (c); |
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untabify liboctave C++ sources
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diff
changeset
|
6475 Bz[i] = std::imag (c); |
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untabify liboctave C++ sources
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diff
changeset
|
6476 } |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6477 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6478 status = UMFPACK_DNAME (solve) (UMFPACK_A, Ap, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6479 Ai, Ax, Xx, Bx, Numeric, control, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6480 info); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6481 int status2 = UMFPACK_DNAME (solve) (UMFPACK_A, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6482 Ap, Ai, Ax, Xz, Bz, Numeric, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6483 control, info) ; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6484 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6485 if (status < 0 || status2 < 0) |
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untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6486 { |
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untabify liboctave C++ sources
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diff
changeset
|
6487 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6488 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6489 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6490 UMFPACK_DNAME (report_status) (control, status); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6491 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6492 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6493 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6494 break; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6495 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6496 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6497 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
|
6498 retval (i, j) = Complex (Xx[i], Xz[i]); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6499 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6500 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6501 UMFPACK_DNAME (report_info) (control, info); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6502 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6503 UMFPACK_DNAME (free_numeric) (&Numeric); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6504 } |
07ebe522dac2
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parents:
10158
diff
changeset
|
6505 else |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6506 mattype.mark_as_rectangular (); |
5681 | 6507 |
5203 | 6508 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6509 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 6510 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6511 } |
5785 | 6512 else if (typ != MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6513 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 6514 } |
6515 | |
6516 return retval; | |
6517 } | |
6518 | |
6519 SparseComplexMatrix | |
5785 | 6520 SparseMatrix::fsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6521 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
6522 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6523 bool calc_cond) const |
5164 | 6524 { |
6525 SparseComplexMatrix retval; | |
6526 | |
5275 | 6527 octave_idx_type nr = rows (); |
6528 octave_idx_type nc = cols (); | |
5164 | 6529 err = 0; |
6530 | |
6924 | 6531 if (nr != nc || nr != b.rows ()) |
5164 | 6532 (*current_liboctave_error_handler) |
6533 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 6534 else if (nr == 0 || b.cols () == 0) |
6535 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 6536 else |
6537 { | |
6538 // Print spparms("spumoni") info if requested | |
5506 | 6539 volatile int typ = mattype.type (); |
5164 | 6540 mattype.info (); |
6541 | |
5785 | 6542 if (typ == MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6543 { |
5506 | 6544 #ifdef HAVE_CHOLMOD |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6545 cholmod_common Common; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6546 cholmod_common *cm = &Common; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6547 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6548 // Setup initial parameters |
07ebe522dac2
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10158
diff
changeset
|
6549 CHOLMOD_NAME(start) (cm); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6550 cm->prefer_zomplex = false; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6551 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6552 double spu = octave_sparse_params::get_key ("spumoni"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6553 if (spu == 0.) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6554 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6555 cm->print = -1; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6556 cm->print_function = 0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6557 } |
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10158
diff
changeset
|
6558 else |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6559 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6560 cm->print = static_cast<int> (spu) + 2; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6561 cm->print_function =&SparseCholPrint; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6562 } |
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 cm->error_handler = &SparseCholError; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6565 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6566 cm->hypotenuse = CHOLMOD_NAME(hypot); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6567 |
07ebe522dac2
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diff
changeset
|
6568 cm->final_ll = true; |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6569 |
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10158
diff
changeset
|
6570 cholmod_sparse Astore; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6571 cholmod_sparse *A = &Astore; |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6572 double dummy; |
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diff
changeset
|
6573 A->nrow = nr; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6574 A->ncol = nc; |
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changeset
|
6575 |
07ebe522dac2
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diff
changeset
|
6576 A->p = cidx(); |
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diff
changeset
|
6577 A->i = ridx(); |
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changeset
|
6578 A->nzmax = nnz(); |
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diff
changeset
|
6579 A->packed = true; |
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diff
changeset
|
6580 A->sorted = true; |
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10158
diff
changeset
|
6581 A->nz = 0; |
5506 | 6582 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
6583 A->itype = CHOLMOD_LONG; |
5506 | 6584 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6585 A->itype = CHOLMOD_INT; |
5506 | 6586 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6587 A->dtype = CHOLMOD_DOUBLE; |
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untabify liboctave C++ sources
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diff
changeset
|
6588 A->stype = 1; |
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untabify liboctave C++ sources
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diff
changeset
|
6589 A->xtype = CHOLMOD_REAL; |
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untabify liboctave C++ sources
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diff
changeset
|
6590 |
07ebe522dac2
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diff
changeset
|
6591 if (nr < 1) |
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diff
changeset
|
6592 A->x = &dummy; |
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changeset
|
6593 else |
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diff
changeset
|
6594 A->x = data(); |
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changeset
|
6595 |
07ebe522dac2
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changeset
|
6596 cholmod_sparse Bstore; |
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diff
changeset
|
6597 cholmod_sparse *B = &Bstore; |
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changeset
|
6598 B->nrow = b.rows(); |
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diff
changeset
|
6599 B->ncol = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6600 B->p = b.cidx(); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6601 B->i = b.ridx(); |
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untabify liboctave C++ sources
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diff
changeset
|
6602 B->nzmax = b.nnz(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6603 B->packed = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6604 B->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6605 B->nz = 0; |
5506 | 6606 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6607 B->itype = CHOLMOD_LONG; |
5506 | 6608 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6609 B->itype = CHOLMOD_INT; |
5506 | 6610 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6611 B->dtype = CHOLMOD_DOUBLE; |
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untabify liboctave C++ sources
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diff
changeset
|
6612 B->stype = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6613 B->xtype = CHOLMOD_COMPLEX; |
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untabify liboctave C++ sources
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diff
changeset
|
6614 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6615 if (b.rows() < 1 || b.cols() < 1) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6616 B->x = &dummy; |
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untabify liboctave C++ sources
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diff
changeset
|
6617 else |
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diff
changeset
|
6618 B->x = b.data(); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6619 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6620 cholmod_factor *L; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6621 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6622 L = CHOLMOD_NAME(analyze) (A, cm); |
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untabify liboctave C++ sources
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diff
changeset
|
6623 CHOLMOD_NAME(factorize) (A, L, cm); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6624 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6625 rcond = CHOLMOD_NAME(rcond)(L, cm); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6626 else |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6627 rcond = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6628 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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untabify liboctave C++ sources
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diff
changeset
|
6629 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6630 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6631 { |
07ebe522dac2
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diff
changeset
|
6632 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6633 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6634 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6635 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6636 else |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6637 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6638 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6639 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6640 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6641 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6642 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6643 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6644 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6645 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6646 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6647 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6648 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6649 else |
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untabify liboctave C++ sources
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diff
changeset
|
6650 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6651 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6652 rcond); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6653 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6654 return retval; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6655 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6656 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6657 cholmod_sparse *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6658 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6659 X = CHOLMOD_NAME(spsolve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6660 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6661 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6662 retval = SparseComplexMatrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6663 (static_cast<octave_idx_type>(X->nrow), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6664 static_cast<octave_idx_type>(X->ncol), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6665 static_cast<octave_idx_type>(X->nzmax)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6666 for (octave_idx_type j = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6667 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
|
6668 retval.xcidx(j) = static_cast<octave_idx_type *>(X->p)[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6669 for (octave_idx_type j = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6670 j < static_cast<octave_idx_type>(X->nzmax); j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6671 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6672 retval.xridx(j) = static_cast<octave_idx_type *>(X->i)[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6673 retval.xdata(j) = static_cast<Complex *>(X->x)[j]; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6674 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6675 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6676 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6677 CHOLMOD_NAME(free_sparse) (&X, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6678 CHOLMOD_NAME(free_factor) (&L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6679 CHOLMOD_NAME(finish) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6680 static char tmp[] = " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6681 CHOLMOD_NAME(print_common) (tmp, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6682 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6683 } |
5506 | 6684 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6685 (*current_liboctave_warning_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6686 ("CHOLMOD not installed"); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6687 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6688 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6689 typ = MatrixType::Full; |
5506 | 6690 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6691 } |
5164 | 6692 |
5785 | 6693 if (typ == MatrixType::Full) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6694 { |
5203 | 6695 #ifdef HAVE_UMFPACK |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6696 Matrix Control, Info; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6697 void *Numeric = factorize (err, rcond, Control, Info, |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6698 sing_handler, calc_cond); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6699 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6700 if (err == 0) |
07ebe522dac2
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diff
changeset
|
6701 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6702 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6703 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
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10158
diff
changeset
|
6704 int status = 0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6705 double *control = Control.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6706 double *info = Info.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6707 const octave_idx_type *Ap = cidx (); |
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untabify liboctave C++ sources
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diff
changeset
|
6708 const octave_idx_type *Ai = ridx (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6709 const double *Ax = data (); |
07ebe522dac2
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diff
changeset
|
6710 |
07ebe522dac2
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diff
changeset
|
6711 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6712 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
07ebe522dac2
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diff
changeset
|
6713 |
07ebe522dac2
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diff
changeset
|
6714 // Take a first guess that the number of non-zero terms |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6715 // will be as many as in b |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6716 octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6717 octave_idx_type ii = 0; |
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untabify liboctave C++ sources
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changeset
|
6718 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
07ebe522dac2
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diff
changeset
|
6719 |
07ebe522dac2
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diff
changeset
|
6720 OCTAVE_LOCAL_BUFFER (double, Xx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6721 OCTAVE_LOCAL_BUFFER (double, Xz, b_nr); |
07ebe522dac2
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diff
changeset
|
6722 |
07ebe522dac2
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diff
changeset
|
6723 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6724 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
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diff
changeset
|
6725 { |
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6726 for (octave_idx_type i = 0; i < b_nr; i++) |
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6727 { |
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6728 Complex c = b (i,j); |
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6729 Bx[i] = std::real (c); |
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6730 Bz[i] = std::imag (c); |
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6731 } |
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6732 |
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6733 status = UMFPACK_DNAME (solve) (UMFPACK_A, Ap, |
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6734 Ai, Ax, Xx, Bx, Numeric, control, |
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6735 info); |
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6736 int status2 = UMFPACK_DNAME (solve) (UMFPACK_A, |
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6737 Ap, Ai, Ax, Xz, Bz, Numeric, |
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6738 control, info) ; |
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6739 |
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6740 if (status < 0 || status2 < 0) |
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6741 { |
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6742 (*current_liboctave_error_handler) |
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6743 ("SparseMatrix::solve solve failed"); |
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6744 |
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6745 UMFPACK_DNAME (report_status) (control, status); |
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6746 |
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6747 err = -1; |
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6748 |
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6749 break; |
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6750 } |
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6751 |
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6752 for (octave_idx_type i = 0; i < b_nr; i++) |
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6753 { |
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6754 Complex tmp = Complex (Xx[i], Xz[i]); |
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6755 if (tmp != 0.0) |
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6756 { |
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6757 if (ii == x_nz) |
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6758 { |
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6759 // Resize the sparse matrix |
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6760 octave_idx_type sz = x_nz * (b_nc - j) / b_nc; |
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6761 sz = (sz > 10 ? sz : 10) + x_nz; |
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6762 retval.change_capacity (sz); |
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6763 x_nz = sz; |
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6764 } |
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6765 retval.xdata(ii) = tmp; |
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6766 retval.xridx(ii++) = i; |
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6767 } |
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6768 } |
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6769 retval.xcidx(j+1) = ii; |
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6770 } |
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6771 |
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6772 retval.maybe_compress (); |
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6773 |
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6774 UMFPACK_DNAME (report_info) (control, info); |
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6775 |
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6776 UMFPACK_DNAME (free_numeric) (&Numeric); |
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6777 } |
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6778 else |
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6779 mattype.mark_as_rectangular (); |
5203 | 6780 #else |
10314
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6781 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 6782 #endif |
10314
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6783 } |
5785 | 6784 else if (typ != MatrixType::Hermitian) |
10314
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6785 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 6786 } |
6787 | |
6788 return retval; | |
6789 } | |
6790 | |
6791 Matrix | |
5785 | 6792 SparseMatrix::solve (MatrixType &mattype, const Matrix& b) const |
5164 | 6793 { |
5275 | 6794 octave_idx_type info; |
5164 | 6795 double rcond; |
6796 return solve (mattype, b, info, rcond, 0); | |
6797 } | |
6798 | |
6799 Matrix | |
5785 | 6800 SparseMatrix::solve (MatrixType &mattype, const Matrix& b, |
10314
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6801 octave_idx_type& info) const |
5164 | 6802 { |
6803 double rcond; | |
6804 return solve (mattype, b, info, rcond, 0); | |
6805 } | |
6806 | |
6807 Matrix | |
5785 | 6808 SparseMatrix::solve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, |
10314
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6809 double& rcond) const |
5164 | 6810 { |
6811 return solve (mattype, b, info, rcond, 0); | |
6812 } | |
6813 | |
6814 Matrix | |
5785 | 6815 SparseMatrix::solve (MatrixType &mattype, const Matrix& b, octave_idx_type& err, |
10314
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6816 double& rcond, solve_singularity_handler sing_handler, |
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6817 bool singular_fallback) const |
5164 | 6818 { |
5681 | 6819 Matrix retval; |
5322 | 6820 int typ = mattype.type (false); |
5164 | 6821 |
5785 | 6822 if (typ == MatrixType::Unknown) |
5164 | 6823 typ = mattype.type (*this); |
6824 | |
5681 | 6825 // Only calculate the condition number for CHOLMOD/UMFPACK |
5785 | 6826 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 6827 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6828 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 6829 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6830 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 6831 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6832 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 6833 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6834 else if (typ == MatrixType::Tridiagonal || |
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6835 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 6836 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6837 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 6838 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 6839 else if (typ != MatrixType::Rectangular) |
5164 | 6840 { |
5681 | 6841 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 6842 return Matrix (); |
6843 } | |
5681 | 6844 |
6845 // Rectangular or one of the above solvers flags a singular matrix | |
5785 | 6846 if (singular_fallback && mattype.type (false) == MatrixType::Rectangular) |
5681 | 6847 { |
6848 rcond = 1.; | |
6849 #ifdef USE_QRSOLVE | |
6850 retval = qrsolve (*this, b, err); | |
6851 #else | |
6852 retval = dmsolve<Matrix, SparseMatrix, Matrix> (*this, b, err); | |
6853 #endif | |
6854 } | |
6855 | |
6856 return retval; | |
5164 | 6857 } |
6858 | |
6859 SparseMatrix | |
5785 | 6860 SparseMatrix::solve (MatrixType &mattype, const SparseMatrix& b) const |
5164 | 6861 { |
5275 | 6862 octave_idx_type info; |
5164 | 6863 double rcond; |
6864 return solve (mattype, b, info, rcond, 0); | |
6865 } | |
6866 | |
6867 SparseMatrix | |
5785 | 6868 SparseMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
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6869 octave_idx_type& info) const |
5164 | 6870 { |
6871 double rcond; | |
6872 return solve (mattype, b, info, rcond, 0); | |
6873 } | |
6874 | |
6875 SparseMatrix | |
5785 | 6876 SparseMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
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6877 octave_idx_type& info, double& rcond) const |
5164 | 6878 { |
6879 return solve (mattype, b, info, rcond, 0); | |
6880 } | |
6881 | |
6882 SparseMatrix | |
5785 | 6883 SparseMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
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6884 octave_idx_type& err, double& rcond, |
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6885 solve_singularity_handler sing_handler, |
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6886 bool singular_fallback) const |
5164 | 6887 { |
5681 | 6888 SparseMatrix retval; |
5322 | 6889 int typ = mattype.type (false); |
5164 | 6890 |
5785 | 6891 if (typ == MatrixType::Unknown) |
5164 | 6892 typ = mattype.type (*this); |
6893 | |
5785 | 6894 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 6895 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6896 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 6897 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6898 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 6899 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6900 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 6901 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6902 else if (typ == MatrixType::Tridiagonal || |
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6903 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 6904 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6905 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 6906 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 6907 else if (typ != MatrixType::Rectangular) |
5164 | 6908 { |
5681 | 6909 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 6910 return SparseMatrix (); |
6911 } | |
5681 | 6912 |
5785 | 6913 if (singular_fallback && mattype.type (false) == MatrixType::Rectangular) |
5681 | 6914 { |
6915 rcond = 1.; | |
6916 #ifdef USE_QRSOLVE | |
6917 retval = qrsolve (*this, b, err); | |
6918 #else | |
6919 retval = dmsolve<SparseMatrix, SparseMatrix, | |
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6920 SparseMatrix> (*this, b, err); |
5681 | 6921 #endif |
6922 } | |
6923 | |
6924 return retval; | |
5164 | 6925 } |
6926 | |
6927 ComplexMatrix | |
5785 | 6928 SparseMatrix::solve (MatrixType &mattype, const ComplexMatrix& b) const |
5164 | 6929 { |
5275 | 6930 octave_idx_type info; |
5164 | 6931 double rcond; |
6932 return solve (mattype, b, info, rcond, 0); | |
6933 } | |
6934 | |
6935 ComplexMatrix | |
5785 | 6936 SparseMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
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6937 octave_idx_type& info) const |
5164 | 6938 { |
6939 double rcond; | |
6940 return solve (mattype, b, info, rcond, 0); | |
6941 } | |
6942 | |
6943 ComplexMatrix | |
5785 | 6944 SparseMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
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6945 octave_idx_type& info, double& rcond) const |
5164 | 6946 { |
6947 return solve (mattype, b, info, rcond, 0); | |
6948 } | |
6949 | |
6950 ComplexMatrix | |
5785 | 6951 SparseMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
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6952 octave_idx_type& err, double& rcond, |
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6953 solve_singularity_handler sing_handler, |
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6954 bool singular_fallback) const |
5164 | 6955 { |
5681 | 6956 ComplexMatrix retval; |
5322 | 6957 int typ = mattype.type (false); |
5164 | 6958 |
5785 | 6959 if (typ == MatrixType::Unknown) |
5164 | 6960 typ = mattype.type (*this); |
6961 | |
5785 | 6962 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 6963 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6964 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 6965 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6966 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 6967 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6968 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 6969 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6970 else if (typ == MatrixType::Tridiagonal || |
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6971 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 6972 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6973 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 6974 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 6975 else if (typ != MatrixType::Rectangular) |
5164 | 6976 { |
5681 | 6977 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 6978 return ComplexMatrix (); |
6979 } | |
5681 | 6980 |
5785 | 6981 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
5681 | 6982 { |
6983 rcond = 1.; | |
6984 #ifdef USE_QRSOLVE | |
6985 retval = qrsolve (*this, b, err); | |
6986 #else | |
6987 retval = dmsolve<ComplexMatrix, SparseMatrix, | |
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6988 ComplexMatrix> (*this, b, err); |
5681 | 6989 #endif |
6990 } | |
6991 | |
6992 return retval; | |
5164 | 6993 } |
6994 | |
6995 SparseComplexMatrix | |
5785 | 6996 SparseMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b) const |
5164 | 6997 { |
5275 | 6998 octave_idx_type info; |
5164 | 6999 double rcond; |
7000 return solve (mattype, b, info, rcond, 0); | |
7001 } | |
7002 | |
7003 SparseComplexMatrix | |
5785 | 7004 SparseMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
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7005 octave_idx_type& info) const |
5164 | 7006 { |
7007 double rcond; | |
7008 return solve (mattype, b, info, rcond, 0); | |
7009 } | |
7010 | |
7011 SparseComplexMatrix | |
5785 | 7012 SparseMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
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7013 octave_idx_type& info, double& rcond) const |
5164 | 7014 { |
7015 return solve (mattype, b, info, rcond, 0); | |
7016 } | |
7017 | |
7018 SparseComplexMatrix | |
5785 | 7019 SparseMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
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7020 octave_idx_type& err, double& rcond, |
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7021 solve_singularity_handler sing_handler, |
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7022 bool singular_fallback) const |
5164 | 7023 { |
5681 | 7024 SparseComplexMatrix retval; |
5322 | 7025 int typ = mattype.type (false); |
5164 | 7026 |
5785 | 7027 if (typ == MatrixType::Unknown) |
5164 | 7028 typ = mattype.type (*this); |
7029 | |
5785 | 7030 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 7031 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 7032 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 7033 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 7034 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 7035 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 7036 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 7037 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 7038 else if (typ == MatrixType::Tridiagonal || |
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7039 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 7040 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 7041 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 7042 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 7043 else if (typ != MatrixType::Rectangular) |
5164 | 7044 { |
5681 | 7045 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 7046 return SparseComplexMatrix (); |
7047 } | |
5681 | 7048 |
5785 | 7049 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
5681 | 7050 { |
7051 rcond = 1.; | |
7052 #ifdef USE_QRSOLVE | |
7053 retval = qrsolve (*this, b, err); | |
7054 #else | |
7055 retval = dmsolve<SparseComplexMatrix, SparseMatrix, | |
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7056 SparseComplexMatrix> (*this, b, err); |
5681 | 7057 #endif |
7058 } | |
7059 | |
7060 return retval; | |
5164 | 7061 } |
7062 | |
7063 ColumnVector | |
5785 | 7064 SparseMatrix::solve (MatrixType &mattype, const ColumnVector& b) const |
5164 | 7065 { |
5275 | 7066 octave_idx_type info; double rcond; |
5164 | 7067 return solve (mattype, b, info, rcond); |
7068 } | |
7069 | |
7070 ColumnVector | |
5785 | 7071 SparseMatrix::solve (MatrixType &mattype, const ColumnVector& b, octave_idx_type& info) const |
5164 | 7072 { |
7073 double rcond; | |
7074 return solve (mattype, b, info, rcond); | |
7075 } | |
7076 | |
7077 ColumnVector | |
5785 | 7078 SparseMatrix::solve (MatrixType &mattype, const ColumnVector& b, octave_idx_type& info, double& rcond) const |
5164 | 7079 { |
7080 return solve (mattype, b, info, rcond, 0); | |
7081 } | |
7082 | |
7083 ColumnVector | |
5785 | 7084 SparseMatrix::solve (MatrixType &mattype, const ColumnVector& b, octave_idx_type& info, double& rcond, |
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7085 solve_singularity_handler sing_handler) const |
5164 | 7086 { |
7087 Matrix tmp (b); | |
5275 | 7088 return solve (mattype, tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 7089 } |
7090 | |
7091 ComplexColumnVector | |
5785 | 7092 SparseMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b) const |
5164 | 7093 { |
5275 | 7094 octave_idx_type info; |
5164 | 7095 double rcond; |
7096 return solve (mattype, b, info, rcond, 0); | |
7097 } | |
7098 | |
7099 ComplexColumnVector | |
5785 | 7100 SparseMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, octave_idx_type& info) const |
5164 | 7101 { |
7102 double rcond; | |
7103 return solve (mattype, b, info, rcond, 0); | |
7104 } | |
7105 | |
7106 ComplexColumnVector | |
5785 | 7107 SparseMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, octave_idx_type& info, |
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7108 double& rcond) const |
5164 | 7109 { |
7110 return solve (mattype, b, info, rcond, 0); | |
7111 } | |
7112 | |
7113 ComplexColumnVector | |
5785 | 7114 SparseMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, octave_idx_type& info, double& rcond, |
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7115 solve_singularity_handler sing_handler) const |
5164 | 7116 { |
7117 ComplexMatrix tmp (b); | |
5275 | 7118 return solve (mattype, tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 7119 } |
7120 | |
7121 Matrix | |
7122 SparseMatrix::solve (const Matrix& b) const | |
7123 { | |
5275 | 7124 octave_idx_type info; |
5164 | 7125 double rcond; |
7126 return solve (b, info, rcond, 0); | |
7127 } | |
7128 | |
7129 Matrix | |
5275 | 7130 SparseMatrix::solve (const Matrix& b, octave_idx_type& info) const |
5164 | 7131 { |
7132 double rcond; | |
7133 return solve (b, info, rcond, 0); | |
7134 } | |
7135 | |
7136 Matrix | |
5275 | 7137 SparseMatrix::solve (const Matrix& b, octave_idx_type& info, |
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|
7138 double& rcond) const |
5164 | 7139 { |
7140 return solve (b, info, rcond, 0); | |
7141 } | |
7142 | |
7143 Matrix | |
5275 | 7144 SparseMatrix::solve (const Matrix& b, octave_idx_type& err, |
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|
7145 double& rcond, |
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7146 solve_singularity_handler sing_handler) const |
5164 | 7147 { |
5785 | 7148 MatrixType mattype (*this); |
5164 | 7149 return solve (mattype, b, err, rcond, sing_handler); |
7150 } | |
7151 | |
7152 SparseMatrix | |
7153 SparseMatrix::solve (const SparseMatrix& b) const | |
7154 { | |
5275 | 7155 octave_idx_type info; |
5164 | 7156 double rcond; |
7157 return solve (b, info, rcond, 0); | |
7158 } | |
7159 | |
7160 SparseMatrix | |
7161 SparseMatrix::solve (const SparseMatrix& b, | |
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|
7162 octave_idx_type& info) const |
5164 | 7163 { |
7164 double rcond; | |
7165 return solve (b, info, rcond, 0); | |
7166 } | |
7167 | |
7168 SparseMatrix | |
7169 SparseMatrix::solve (const SparseMatrix& b, | |
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|
7170 octave_idx_type& info, double& rcond) const |
5164 | 7171 { |
7172 return solve (b, info, rcond, 0); | |
7173 } | |
7174 | |
7175 SparseMatrix | |
7176 SparseMatrix::solve (const SparseMatrix& b, | |
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|
7177 octave_idx_type& err, double& rcond, |
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|
7178 solve_singularity_handler sing_handler) const |
5164 | 7179 { |
5785 | 7180 MatrixType mattype (*this); |
5164 | 7181 return solve (mattype, b, err, rcond, sing_handler); |
7182 } | |
7183 | |
7184 ComplexMatrix | |
7185 SparseMatrix::solve (const ComplexMatrix& b, | |
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|
7186 octave_idx_type& info) const |
5164 | 7187 { |
7188 double rcond; | |
7189 return solve (b, info, rcond, 0); | |
7190 } | |
7191 | |
7192 ComplexMatrix | |
7193 SparseMatrix::solve (const ComplexMatrix& b, | |
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7194 octave_idx_type& info, double& rcond) const |
5164 | 7195 { |
7196 return solve (b, info, rcond, 0); | |
7197 } | |
7198 | |
7199 ComplexMatrix | |
7200 SparseMatrix::solve (const ComplexMatrix& b, | |
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|
7201 octave_idx_type& err, double& rcond, |
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7202 solve_singularity_handler sing_handler) const |
5164 | 7203 { |
5785 | 7204 MatrixType mattype (*this); |
5164 | 7205 return solve (mattype, b, err, rcond, sing_handler); |
7206 } | |
7207 | |
7208 SparseComplexMatrix | |
7209 SparseMatrix::solve (const SparseComplexMatrix& b) const | |
7210 { | |
5275 | 7211 octave_idx_type info; |
5164 | 7212 double rcond; |
7213 return solve (b, info, rcond, 0); | |
7214 } | |
7215 | |
7216 SparseComplexMatrix | |
7217 SparseMatrix::solve (const SparseComplexMatrix& b, | |
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|
7218 octave_idx_type& info) const |
5164 | 7219 { |
7220 double rcond; | |
7221 return solve (b, info, rcond, 0); | |
7222 } | |
7223 | |
7224 SparseComplexMatrix | |
7225 SparseMatrix::solve (const SparseComplexMatrix& b, | |
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|
7226 octave_idx_type& info, double& rcond) const |
5164 | 7227 { |
7228 return solve (b, info, rcond, 0); | |
7229 } | |
7230 | |
7231 SparseComplexMatrix | |
7232 SparseMatrix::solve (const SparseComplexMatrix& b, | |
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|
7233 octave_idx_type& err, double& rcond, |
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changeset
|
7234 solve_singularity_handler sing_handler) const |
5164 | 7235 { |
5785 | 7236 MatrixType mattype (*this); |
5164 | 7237 return solve (mattype, b, err, rcond, sing_handler); |
7238 } | |
7239 | |
7240 ColumnVector | |
7241 SparseMatrix::solve (const ColumnVector& b) const | |
7242 { | |
5275 | 7243 octave_idx_type info; double rcond; |
5164 | 7244 return solve (b, info, rcond); |
7245 } | |
7246 | |
7247 ColumnVector | |
5275 | 7248 SparseMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
5164 | 7249 { |
7250 double rcond; | |
7251 return solve (b, info, rcond); | |
7252 } | |
7253 | |
7254 ColumnVector | |
5275 | 7255 SparseMatrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcond) const |
5164 | 7256 { |
7257 return solve (b, info, rcond, 0); | |
7258 } | |
7259 | |
7260 ColumnVector | |
5275 | 7261 SparseMatrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
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|
7262 solve_singularity_handler sing_handler) const |
5164 | 7263 { |
7264 Matrix tmp (b); | |
5275 | 7265 return solve (tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 7266 } |
7267 | |
7268 ComplexColumnVector | |
7269 SparseMatrix::solve (const ComplexColumnVector& b) const | |
7270 { | |
5275 | 7271 octave_idx_type info; |
5164 | 7272 double rcond; |
7273 return solve (b, info, rcond, 0); | |
7274 } | |
7275 | |
7276 ComplexColumnVector | |
5275 | 7277 SparseMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
5164 | 7278 { |
7279 double rcond; | |
7280 return solve (b, info, rcond, 0); | |
7281 } | |
7282 | |
7283 ComplexColumnVector | |
5275 | 7284 SparseMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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|
7285 double& rcond) const |
5164 | 7286 { |
7287 return solve (b, info, rcond, 0); | |
7288 } | |
7289 | |
7290 ComplexColumnVector | |
5275 | 7291 SparseMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, double& rcond, |
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|
7292 solve_singularity_handler sing_handler) const |
5164 | 7293 { |
7294 ComplexMatrix tmp (b); | |
5275 | 7295 return solve (tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 7296 } |
7297 | |
7298 // other operations. | |
7299 | |
7300 bool | |
7301 SparseMatrix::any_element_is_negative (bool neg_zero) const | |
7302 { | |
5681 | 7303 octave_idx_type nel = nnz (); |
5164 | 7304 |
7305 if (neg_zero) | |
7306 { | |
5275 | 7307 for (octave_idx_type i = 0; i < nel; i++) |
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|
7308 if (lo_ieee_signbit (data (i))) |
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|
7309 return true; |
5164 | 7310 } |
7311 else | |
7312 { | |
5275 | 7313 for (octave_idx_type i = 0; i < nel; i++) |
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|
7314 if (data (i) < 0) |
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|
7315 return true; |
5164 | 7316 } |
7317 | |
7318 return false; | |
7319 } | |
7320 | |
7321 bool | |
7922
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error for NaN values in & and | expressions
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changeset
|
7322 SparseMatrix::any_element_is_nan (void) const |
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diff
changeset
|
7323 { |
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|
7324 octave_idx_type nel = nnz (); |
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|
7325 |
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|
7326 for (octave_idx_type i = 0; i < nel; i++) |
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changeset
|
7327 { |
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7802
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changeset
|
7328 double val = data (i); |
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changeset
|
7329 if (xisnan (val)) |
10314
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|
7330 return true; |
7922
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diff
changeset
|
7331 } |
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changeset
|
7332 |
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|
7333 return false; |
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diff
changeset
|
7334 } |
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|
7335 |
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|
7336 bool |
5164 | 7337 SparseMatrix::any_element_is_inf_or_nan (void) const |
7338 { | |
5681 | 7339 octave_idx_type nel = nnz (); |
5275 | 7340 |
7341 for (octave_idx_type i = 0; i < nel; i++) | |
5164 | 7342 { |
7343 double val = data (i); | |
7344 if (xisinf (val) || xisnan (val)) | |
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|
7345 return true; |
5164 | 7346 } |
7347 | |
7348 return false; | |
7349 } | |
7350 | |
7351 bool | |
9852
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|
7352 SparseMatrix::any_element_not_one_or_zero (void) const |
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|
7353 { |
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|
7354 octave_idx_type nel = nnz (); |
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|
7355 |
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changeset
|
7356 for (octave_idx_type i = 0; i < nel; i++) |
aabf7a8c2e57
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|
7357 { |
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Jaroslav Hajek <highegg@gmail.com>
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9812
diff
changeset
|
7358 double val = data (i); |
aabf7a8c2e57
implement sparse logical conversion
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7359 if (val != 0.0 && val != 1.0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7360 return true; |
9852
aabf7a8c2e57
implement sparse logical conversion
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7361 } |
aabf7a8c2e57
implement sparse logical conversion
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7362 |
aabf7a8c2e57
implement sparse logical conversion
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7363 return false; |
aabf7a8c2e57
implement sparse logical conversion
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7364 } |
aabf7a8c2e57
implement sparse logical conversion
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7365 |
aabf7a8c2e57
implement sparse logical conversion
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7366 bool |
6989 | 7367 SparseMatrix::all_elements_are_zero (void) const |
7368 { | |
7369 octave_idx_type nel = nnz (); | |
7370 | |
7371 for (octave_idx_type i = 0; i < nel; i++) | |
7372 if (data (i) != 0) | |
7373 return false; | |
7374 | |
7375 return true; | |
7376 } | |
7377 | |
7378 bool | |
5164 | 7379 SparseMatrix::all_elements_are_int_or_inf_or_nan (void) const |
7380 { | |
5681 | 7381 octave_idx_type nel = nnz (); |
5275 | 7382 |
7383 for (octave_idx_type i = 0; i < nel; i++) | |
5164 | 7384 { |
7385 double val = data (i); | |
7386 if (xisnan (val) || D_NINT (val) == val) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7387 continue; |
5164 | 7388 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7389 return false; |
5164 | 7390 } |
7391 | |
7392 return true; | |
7393 } | |
7394 | |
7395 // Return nonzero if any element of M is not an integer. Also extract | |
7396 // the largest and smallest values and return them in MAX_VAL and MIN_VAL. | |
7397 | |
7398 bool | |
7399 SparseMatrix::all_integers (double& max_val, double& min_val) const | |
7400 { | |
5681 | 7401 octave_idx_type nel = nnz (); |
5164 | 7402 |
7403 if (nel == 0) | |
7404 return false; | |
7405 | |
7406 max_val = data (0); | |
7407 min_val = data (0); | |
7408 | |
5275 | 7409 for (octave_idx_type i = 0; i < nel; i++) |
5164 | 7410 { |
7411 double val = data (i); | |
7412 | |
7413 if (val > max_val) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7414 max_val = val; |
5164 | 7415 |
7416 if (val < min_val) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7417 min_val = val; |
5164 | 7418 |
7419 if (D_NINT (val) != val) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7420 return false; |
5164 | 7421 } |
7422 | |
7423 return true; | |
7424 } | |
7425 | |
7426 bool | |
7427 SparseMatrix::too_large_for_float (void) const | |
7428 { | |
5681 | 7429 octave_idx_type nel = nnz (); |
5275 | 7430 |
7431 for (octave_idx_type i = 0; i < nel; i++) | |
5164 | 7432 { |
7433 double val = data (i); | |
7434 | |
7435 if (val > FLT_MAX || val < FLT_MIN) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7436 return true; |
5164 | 7437 } |
7438 | |
7439 return false; | |
7440 } | |
7441 | |
7442 SparseBoolMatrix | |
7443 SparseMatrix::operator ! (void) const | |
7444 { | |
5275 | 7445 octave_idx_type nr = rows (); |
7446 octave_idx_type nc = cols (); | |
5681 | 7447 octave_idx_type nz1 = nnz (); |
5275 | 7448 octave_idx_type nz2 = nr*nc - nz1; |
5164 | 7449 |
7450 SparseBoolMatrix r (nr, nc, nz2); | |
7451 | |
5275 | 7452 octave_idx_type ii = 0; |
7453 octave_idx_type jj = 0; | |
5164 | 7454 r.cidx (0) = 0; |
5275 | 7455 for (octave_idx_type i = 0; i < nc; i++) |
5164 | 7456 { |
5275 | 7457 for (octave_idx_type j = 0; j < nr; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7458 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7459 if (jj < cidx(i+1) && ridx(jj) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7460 jj++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7461 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7462 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7463 r.data(ii) = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7464 r.ridx(ii++) = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7465 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7466 } |
5164 | 7467 r.cidx (i+1) = ii; |
7468 } | |
7469 | |
7470 return r; | |
7471 } | |
7472 | |
5775 | 7473 // FIXME Do these really belong here? Maybe they should be |
5164 | 7474 // in a base class? |
7475 | |
7476 SparseBoolMatrix | |
7477 SparseMatrix::all (int dim) const | |
7478 { | |
7479 SPARSE_ALL_OP (dim); | |
7480 } | |
7481 | |
7482 SparseBoolMatrix | |
7483 SparseMatrix::any (int dim) const | |
7484 { | |
7485 SPARSE_ANY_OP (dim); | |
7486 } | |
7487 | |
7488 SparseMatrix | |
7489 SparseMatrix::cumprod (int dim) const | |
7490 { | |
7491 SPARSE_CUMPROD (SparseMatrix, double, cumprod); | |
7492 } | |
7493 | |
7494 SparseMatrix | |
7495 SparseMatrix::cumsum (int dim) const | |
7496 { | |
7497 SPARSE_CUMSUM (SparseMatrix, double, cumsum); | |
7498 } | |
7499 | |
7500 SparseMatrix | |
7501 SparseMatrix::prod (int dim) const | |
7502 { | |
7269 | 7503 if ((rows() == 1 && dim == -1) || dim == 1) |
7504 return transpose (). prod (0). transpose(); | |
7505 else | |
7506 { | |
7507 SPARSE_REDUCTION_OP (SparseMatrix, double, *=, | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7508 (cidx(j+1) - cidx(j) < nr ? 0.0 : 1.0), 1.0); |
7269 | 7509 } |
5164 | 7510 } |
7511 | |
7512 SparseMatrix | |
7513 SparseMatrix::sum (int dim) const | |
7514 { | |
7515 SPARSE_REDUCTION_OP (SparseMatrix, double, +=, 0.0, 0.0); | |
7516 } | |
7517 | |
7518 SparseMatrix | |
7519 SparseMatrix::sumsq (int dim) const | |
7520 { | |
7521 #define ROW_EXPR \ | |
7269 | 7522 double d = data (i); \ |
7523 tmp[ridx(i)] += d * d | |
5164 | 7524 |
7525 #define COL_EXPR \ | |
7269 | 7526 double d = data (i); \ |
5164 | 7527 tmp[j] += d * d |
7528 | |
7529 SPARSE_BASE_REDUCTION_OP (SparseMatrix, double, ROW_EXPR, COL_EXPR, | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7530 0.0, 0.0); |
5164 | 7531 |
7532 #undef ROW_EXPR | |
7533 #undef COL_EXPR | |
7534 } | |
7535 | |
7536 SparseMatrix | |
7537 SparseMatrix::abs (void) const | |
7538 { | |
5681 | 7539 octave_idx_type nz = nnz (); |
5164 | 7540 |
7541 SparseMatrix retval (*this); | |
7542 | |
5275 | 7543 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 7544 retval.data(i) = fabs(retval.data(i)); |
7545 | |
7546 return retval; | |
7547 } | |
7548 | |
7549 SparseMatrix | |
5275 | 7550 SparseMatrix::diag (octave_idx_type k) const |
5164 | 7551 { |
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7602
diff
changeset
|
7552 return MSparse<double>::diag (k); |
5164 | 7553 } |
7554 | |
7555 Matrix | |
7556 SparseMatrix::matrix_value (void) const | |
7557 { | |
10431
5dd7a7bf4950
simplify sparse->full conversions in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
10421
diff
changeset
|
7558 return Sparse<double>::array_value (); |
5164 | 7559 } |
7560 | |
7561 std::ostream& | |
7562 operator << (std::ostream& os, const SparseMatrix& a) | |
7563 { | |
5275 | 7564 octave_idx_type nc = a.cols (); |
5164 | 7565 |
7566 // add one to the printed indices to go from | |
7567 // zero-based to one-based arrays | |
5275 | 7568 for (octave_idx_type j = 0; j < nc; j++) { |
10142
829e69ec3110
make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents:
9852
diff
changeset
|
7569 octave_quit (); |
5275 | 7570 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++) { |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7571 os << a.ridx(i) + 1 << " " << j + 1 << " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7572 octave_write_double (os, a.data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7573 os << "\n"; |
5164 | 7574 } |
7575 } | |
7576 | |
7577 return os; | |
7578 } | |
7579 | |
7580 std::istream& | |
7581 operator >> (std::istream& is, SparseMatrix& a) | |
7582 { | |
9469
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7583 typedef SparseMatrix::element_type elt_type; |
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7584 |
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7585 return read_sparse_matrix<elt_type> (is, a, octave_read_value<double>); |
5164 | 7586 } |
7587 | |
7588 SparseMatrix | |
7589 SparseMatrix::squeeze (void) const | |
7590 { | |
7591 return MSparse<double>::squeeze (); | |
7592 } | |
7593 | |
7594 SparseMatrix | |
10421
99e9bae2d81e
improve sparse indexing interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10350
diff
changeset
|
7595 SparseMatrix::index (const idx_vector& i, bool resize_ok) const |
5164 | 7596 { |
7597 return MSparse<double>::index (i, resize_ok); | |
7598 } | |
7599 | |
7600 SparseMatrix | |
10421
99e9bae2d81e
improve sparse indexing interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10350
diff
changeset
|
7601 SparseMatrix::index (const idx_vector& i, const idx_vector& j, bool resize_ok) const |
5164 | 7602 { |
7603 return MSparse<double>::index (i, j, resize_ok); | |
7604 } | |
7605 | |
7606 SparseMatrix | |
7607 SparseMatrix::reshape (const dim_vector& new_dims) const | |
7608 { | |
7609 return MSparse<double>::reshape (new_dims); | |
7610 } | |
7611 | |
7612 SparseMatrix | |
5275 | 7613 SparseMatrix::permute (const Array<octave_idx_type>& vec, bool inv) const |
5164 | 7614 { |
7615 return MSparse<double>::permute (vec, inv); | |
7616 } | |
7617 | |
7618 SparseMatrix | |
5275 | 7619 SparseMatrix::ipermute (const Array<octave_idx_type>& vec) const |
5164 | 7620 { |
7621 return MSparse<double>::ipermute (vec); | |
7622 } | |
7623 | |
7624 // matrix by matrix -> matrix operations | |
7625 | |
7626 SparseMatrix | |
7627 operator * (const SparseMatrix& m, const SparseMatrix& a) | |
7628 { | |
5681 | 7629 SPARSE_SPARSE_MUL (SparseMatrix, double, double); |
5164 | 7630 } |
7631 | |
5429 | 7632 Matrix |
7633 operator * (const Matrix& m, const SparseMatrix& a) | |
7634 { | |
5681 | 7635 FULL_SPARSE_MUL (Matrix, double, 0.); |
5429 | 7636 } |
7637 | |
7638 Matrix | |
7802
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7639 mul_trans (const Matrix& m, const SparseMatrix& a) |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7640 { |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7641 FULL_SPARSE_MUL_TRANS (Matrix, double, 0., ); |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7642 } |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7643 |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7644 Matrix |
5429 | 7645 operator * (const SparseMatrix& m, const Matrix& a) |
7646 { | |
5681 | 7647 SPARSE_FULL_MUL (Matrix, double, 0.); |
5429 | 7648 } |
7649 | |
7802
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7650 Matrix |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7651 trans_mul (const SparseMatrix& m, const Matrix& a) |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7652 { |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7653 SPARSE_FULL_TRANS_MUL (Matrix, double, 0., ); |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7654 } |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7655 |
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7656 // diag * sparse and sparse * diag |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7657 |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7658 SparseMatrix |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7659 operator * (const DiagMatrix& d, const SparseMatrix& a) |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7660 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7661 return do_mul_dm_sm<SparseMatrix> (d, a); |
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7662 } |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7663 |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7664 SparseMatrix |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7665 operator * (const SparseMatrix& a, const DiagMatrix& d) |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7666 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7667 return do_mul_sm_dm<SparseMatrix> (a, d); |
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7668 } |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7669 |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7670 SparseMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7671 operator + (const DiagMatrix& d, const SparseMatrix& a) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7672 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7673 return do_add_dm_sm<SparseMatrix> (d, a); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7674 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7675 |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7676 SparseMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7677 operator - (const DiagMatrix& d, const SparseMatrix& a) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7678 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7679 return do_sub_dm_sm<SparseMatrix> (d, a); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7680 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7681 |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7682 SparseMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7683 operator + (const SparseMatrix& a, const DiagMatrix& d) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7684 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7685 return do_add_sm_dm<SparseMatrix> (a, d); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7686 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7687 |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7688 SparseMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7689 operator - (const SparseMatrix& a, const DiagMatrix& d) |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7690 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7691 return do_sub_sm_dm<SparseMatrix> (a, d); |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7692 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7693 |
8968
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7694 // 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
|
7695 |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7696 SparseMatrix |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7697 operator * (const PermMatrix& p, const SparseMatrix& a) |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7698 { |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7699 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
|
7700 } |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7701 |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7702 SparseMatrix |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7703 operator * (const SparseMatrix& 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
|
7704 { |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7705 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
|
7706 } |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7707 |
5775 | 7708 // FIXME -- it would be nice to share code among the min/max |
5164 | 7709 // functions below. |
7710 | |
7711 #define EMPTY_RETURN_CHECK(T) \ | |
7712 if (nr == 0 || nc == 0) \ | |
7713 return T (nr, nc); | |
7714 | |
7715 SparseMatrix | |
7716 min (double d, const SparseMatrix& m) | |
7717 { | |
7718 SparseMatrix result; | |
7719 | |
5275 | 7720 octave_idx_type nr = m.rows (); |
7721 octave_idx_type nc = m.columns (); | |
5164 | 7722 |
7723 EMPTY_RETURN_CHECK (SparseMatrix); | |
7724 | |
7725 // Count the number of non-zero elements | |
7726 if (d < 0.) | |
7727 { | |
7728 result = SparseMatrix (nr, nc, d); | |
5275 | 7729 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
|
7730 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
|
7731 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7732 double tmp = xmin (d, m.data (i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7733 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7734 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7735 octave_idx_type idx = m.ridx(i) + j * nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7736 result.xdata(idx) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7737 result.xridx(idx) = m.ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7738 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7739 } |
5164 | 7740 } |
7741 else | |
7742 { | |
5275 | 7743 octave_idx_type nel = 0; |
7744 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
|
7745 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
|
7746 if (xmin (d, m.data (i)) != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7747 nel++; |
5164 | 7748 |
7749 result = SparseMatrix (nr, nc, nel); | |
7750 | |
5275 | 7751 octave_idx_type ii = 0; |
5164 | 7752 result.xcidx(0) = 0; |
5275 | 7753 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
|
7754 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7755 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
|
7756 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7757 double tmp = xmin (d, m.data (i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7758 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7759 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7760 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7761 result.xdata(ii) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7762 result.xridx(ii++) = m.ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7763 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7764 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7765 result.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7766 } |
5164 | 7767 } |
7768 | |
7769 return result; | |
7770 } | |
7771 | |
7772 SparseMatrix | |
7773 min (const SparseMatrix& m, double d) | |
7774 { | |
7775 return min (d, m); | |
7776 } | |
7777 | |
7778 SparseMatrix | |
7779 min (const SparseMatrix& a, const SparseMatrix& b) | |
7780 { | |
7781 SparseMatrix r; | |
7782 | |
7783 if ((a.rows() == b.rows()) && (a.cols() == b.cols())) | |
7784 { | |
5275 | 7785 octave_idx_type a_nr = a.rows (); |
7786 octave_idx_type a_nc = a.cols (); | |
7787 | |
7788 octave_idx_type b_nr = b.rows (); | |
7789 octave_idx_type b_nc = b.cols (); | |
5164 | 7790 |
7791 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
|
7792 gripe_nonconformant ("min", a_nr, a_nc, b_nr, b_nc); |
5164 | 7793 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7794 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7795 r = SparseMatrix (a_nr, a_nc, (a.nnz () + b.nnz ())); |
5164 | 7796 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7797 octave_idx_type jx = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7798 r.cidx (0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7799 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
|
7800 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7801 octave_idx_type ja = a.cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7802 octave_idx_type ja_max = a.cidx(i+1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7803 bool ja_lt_max= ja < ja_max; |
5164 | 7804 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7805 octave_idx_type jb = b.cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7806 octave_idx_type jb_max = b.cidx(i+1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7807 bool jb_lt_max = jb < jb_max; |
5164 | 7808 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7809 while (ja_lt_max || jb_lt_max ) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7810 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7811 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7812 if ((! jb_lt_max) || |
5164 | 7813 (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
|
7814 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7815 double tmp = xmin (a.data(ja), 0.); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7816 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7817 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7818 r.ridx(jx) = a.ridx(ja); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7819 r.data(jx) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7820 jx++; |
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>
parents:
10158
diff
changeset
|
7822 ja++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7823 ja_lt_max= ja < ja_max; |
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>
parents:
10158
diff
changeset
|
7825 else if (( !ja_lt_max ) || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7826 (jb_lt_max && (b.ridx(jb) < a.ridx(ja)) ) ) |
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>
parents:
10158
diff
changeset
|
7828 double tmp = xmin (0., b.data(jb)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7829 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7830 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7831 r.ridx(jx) = b.ridx(jb); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7832 r.data(jx) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7833 jx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7834 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7835 jb++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7836 jb_lt_max= jb < jb_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7837 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7838 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7839 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7840 double tmp = xmin (a.data(ja), b.data(jb)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7841 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7842 { |
5164 | 7843 r.data(jx) = tmp; |
7844 r.ridx(jx) = a.ridx(ja); | |
7845 jx++; | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7846 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7847 ja++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7848 ja_lt_max= ja < ja_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7849 jb++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7850 jb_lt_max= jb < jb_max; |
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untabify liboctave C++ sources
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diff
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|
7851 } |
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diff
changeset
|
7852 } |
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untabify liboctave C++ sources
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changeset
|
7853 r.cidx(i+1) = jx; |
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diff
changeset
|
7854 } |
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diff
changeset
|
7855 |
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changeset
|
7856 r.maybe_compress (); |
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diff
changeset
|
7857 } |
5164 | 7858 } |
7859 else | |
7860 (*current_liboctave_error_handler) ("matrix size mismatch"); | |
7861 | |
7862 return r; | |
7863 } | |
7864 | |
7865 SparseMatrix | |
7866 max (double d, const SparseMatrix& m) | |
7867 { | |
7868 SparseMatrix result; | |
7869 | |
5275 | 7870 octave_idx_type nr = m.rows (); |
7871 octave_idx_type nc = m.columns (); | |
5164 | 7872 |
7873 EMPTY_RETURN_CHECK (SparseMatrix); | |
7874 | |
7875 // Count the number of non-zero elements | |
7876 if (d > 0.) | |
7877 { | |
7878 result = SparseMatrix (nr, nc, d); | |
5275 | 7879 for (octave_idx_type j = 0; j < nc; j++) |
10314
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|
7880 for (octave_idx_type i = m.cidx(j); i < m.cidx(j+1); i++) |
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untabify liboctave C++ sources
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|
7881 { |
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diff
changeset
|
7882 double tmp = xmax (d, m.data (i)); |
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untabify liboctave C++ sources
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|
7883 |
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|
7884 if (tmp != 0.) |
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diff
changeset
|
7885 { |
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changeset
|
7886 octave_idx_type idx = m.ridx(i) + j * nr; |
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untabify liboctave C++ sources
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changeset
|
7887 result.xdata(idx) = tmp; |
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untabify liboctave C++ sources
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diff
changeset
|
7888 result.xridx(idx) = m.ridx(i); |
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untabify liboctave C++ sources
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diff
changeset
|
7889 } |
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diff
changeset
|
7890 } |
5164 | 7891 } |
7892 else | |
7893 { | |
5275 | 7894 octave_idx_type nel = 0; |
7895 for (octave_idx_type j = 0; j < nc; j++) | |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
7896 for (octave_idx_type i = m.cidx(j); i < m.cidx(j+1); i++) |
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untabify liboctave C++ sources
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|
7897 if (xmax (d, m.data (i)) != 0.) |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
7898 nel++; |
5164 | 7899 |
7900 result = SparseMatrix (nr, nc, nel); | |
7901 | |
5275 | 7902 octave_idx_type ii = 0; |
5164 | 7903 result.xcidx(0) = 0; |
5275 | 7904 for (octave_idx_type j = 0; j < nc; j++) |
10314
07ebe522dac2
untabify liboctave C++ sources
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|
7905 { |
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changeset
|
7906 for (octave_idx_type i = m.cidx(j); i < m.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
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|
7907 { |
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|
7908 double tmp = xmax (d, m.data (i)); |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
7909 if (tmp != 0.) |
07ebe522dac2
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changeset
|
7910 { |
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|
7911 result.xdata(ii) = tmp; |
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diff
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|
7912 result.xridx(ii++) = m.ridx(i); |
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untabify liboctave C++ sources
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|
7913 } |
07ebe522dac2
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diff
changeset
|
7914 } |
07ebe522dac2
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changeset
|
7915 result.xcidx(j+1) = ii; |
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untabify liboctave C++ sources
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|
7916 } |
5164 | 7917 } |
7918 | |
7919 return result; | |
7920 } | |
7921 | |
7922 SparseMatrix | |
7923 max (const SparseMatrix& m, double d) | |
7924 { | |
7925 return max (d, m); | |
7926 } | |
7927 | |
7928 SparseMatrix | |
7929 max (const SparseMatrix& a, const SparseMatrix& b) | |
7930 { | |
7931 SparseMatrix r; | |
7932 | |
7933 if ((a.rows() == b.rows()) && (a.cols() == b.cols())) | |
7934 { | |
5275 | 7935 octave_idx_type a_nr = a.rows (); |
7936 octave_idx_type a_nc = a.cols (); | |
7937 | |
7938 octave_idx_type b_nr = b.rows (); | |
7939 octave_idx_type b_nc = b.cols (); | |
5164 | 7940 |
7941 if (a_nr != b_nr || a_nc != b_nc) | |
10314
07ebe522dac2
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|
7942 gripe_nonconformant ("min", a_nr, a_nc, b_nr, b_nc); |
5164 | 7943 else |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
7944 { |
07ebe522dac2
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changeset
|
7945 r = SparseMatrix (a_nr, a_nc, (a.nnz () + b.nnz ())); |
5164 | 7946 |
10314
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
7947 octave_idx_type jx = 0; |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
7948 r.cidx (0) = 0; |
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untabify liboctave C++ sources
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changeset
|
7949 for (octave_idx_type i = 0 ; i < a_nc ; i++) |
07ebe522dac2
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changeset
|
7950 { |
07ebe522dac2
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changeset
|
7951 octave_idx_type ja = a.cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
7952 octave_idx_type ja_max = a.cidx(i+1); |
07ebe522dac2
untabify liboctave C++ sources
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|
7953 bool ja_lt_max= ja < ja_max; |
5164 | 7954 |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
7955 octave_idx_type jb = b.cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
7956 octave_idx_type jb_max = b.cidx(i+1); |
07ebe522dac2
untabify liboctave C++ sources
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|
7957 bool jb_lt_max = jb < jb_max; |
5164 | 7958 |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
7959 while (ja_lt_max || jb_lt_max ) |
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diff
changeset
|
7960 { |
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diff
changeset
|
7961 octave_quit (); |
07ebe522dac2
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diff
changeset
|
7962 if ((! jb_lt_max) || |
5164 | 7963 (ja_lt_max && (a.ridx(ja) < b.ridx(jb)))) |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
7964 { |
07ebe522dac2
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changeset
|
7965 double tmp = xmax (a.data(ja), 0.); |
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untabify liboctave C++ sources
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|
7966 if (tmp != 0.) |
07ebe522dac2
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|
7967 { |
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changeset
|
7968 r.ridx(jx) = a.ridx(ja); |
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untabify liboctave C++ sources
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changeset
|
7969 r.data(jx) = tmp; |
07ebe522dac2
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diff
changeset
|
7970 jx++; |
07ebe522dac2
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diff
changeset
|
7971 } |
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untabify liboctave C++ sources
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diff
changeset
|
7972 ja++; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
7973 ja_lt_max= ja < ja_max; |
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untabify liboctave C++ sources
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changeset
|
7974 } |
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changeset
|
7975 else if (( !ja_lt_max ) || |
07ebe522dac2
untabify liboctave C++ sources
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|
7976 (jb_lt_max && (b.ridx(jb) < a.ridx(ja)) ) ) |
07ebe522dac2
untabify liboctave C++ sources
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|
7977 { |
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changeset
|
7978 double tmp = xmax (0., b.data(jb)); |
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untabify liboctave C++ sources
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changeset
|
7979 if (tmp != 0.) |
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untabify liboctave C++ sources
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changeset
|
7980 { |
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changeset
|
7981 r.ridx(jx) = b.ridx(jb); |
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untabify liboctave C++ sources
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changeset
|
7982 r.data(jx) = tmp; |
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untabify liboctave C++ sources
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changeset
|
7983 jx++; |
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changeset
|
7984 } |
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changeset
|
7985 jb++; |
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untabify liboctave C++ sources
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changeset
|
7986 jb_lt_max= jb < jb_max; |
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changeset
|
7987 } |
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changeset
|
7988 else |
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changeset
|
7989 { |
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changeset
|
7990 double tmp = xmax (a.data(ja), b.data(jb)); |
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|
7991 if (tmp != 0.) |
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|
7992 { |
5164 | 7993 r.data(jx) = tmp; |
7994 r.ridx(jx) = a.ridx(ja); | |
7995 jx++; | |
10314
07ebe522dac2
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|
7996 } |
07ebe522dac2
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|
7997 ja++; |
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changeset
|
7998 ja_lt_max= ja < ja_max; |
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|
7999 jb++; |
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|
8000 jb_lt_max= jb < jb_max; |
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|
8001 } |
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changeset
|
8002 } |
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|
8003 r.cidx(i+1) = jx; |
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|
8004 } |
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|
8005 |
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|
8006 r.maybe_compress (); |
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|
8007 } |
5164 | 8008 } |
8009 else | |
8010 (*current_liboctave_error_handler) ("matrix size mismatch"); | |
8011 | |
8012 return r; | |
8013 } | |
8014 | |
8015 SPARSE_SMS_CMP_OPS (SparseMatrix, 0.0, , double, 0.0, ) | |
8016 SPARSE_SMS_BOOL_OPS (SparseMatrix, double, 0.0) | |
8017 | |
8018 SPARSE_SSM_CMP_OPS (double, 0.0, , SparseMatrix, 0.0, ) | |
8019 SPARSE_SSM_BOOL_OPS (double, SparseMatrix, 0.0) | |
8020 | |
8021 SPARSE_SMSM_CMP_OPS (SparseMatrix, 0.0, , SparseMatrix, 0.0, ) | |
8022 SPARSE_SMSM_BOOL_OPS (SparseMatrix, SparseMatrix, 0.0) |