Mercurial > hg > octave-lyh
annotate liboctave/dSparse.cc @ 10396:a0b51ac0f88a
optimize accumdim with summation
author | Jaroslav Hajek <highegg@gmail.com> |
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date | Fri, 05 Mar 2010 12:31:30 +0100 |
parents | 12884915a8e4 |
children | 99e9bae2d81e |
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 |
5 | |
6 This file is part of Octave. | |
5164 | 7 |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
5164 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
5164 | 21 |
22 */ | |
23 | |
24 #ifdef HAVE_CONFIG_H | |
25 #include <config.h> | |
26 #endif | |
27 | |
28 #include <cfloat> | |
29 | |
30 #include <iostream> | |
31 #include <vector> | |
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32 #include <functional> |
5164 | 33 |
34 #include "quit.h" | |
35 #include "lo-ieee.h" | |
36 #include "lo-mappers.h" | |
37 #include "f77-fcn.h" | |
38 #include "dRowVector.h" | |
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39 #include "oct-locbuf.h" |
5164 | 40 |
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41 #include "dDiagMatrix.h" |
5164 | 42 #include "CSparse.h" |
43 #include "boolSparse.h" | |
44 #include "dSparse.h" | |
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45 #include "functor.h" |
5164 | 46 #include "oct-spparms.h" |
47 #include "SparsedbleLU.h" | |
5785 | 48 #include "MatrixType.h" |
5451 | 49 #include "oct-sparse.h" |
5506 | 50 #include "sparse-util.h" |
51 #include "SparsedbleCHOL.h" | |
5610 | 52 #include "SparseQR.h" |
5164 | 53 |
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54 #include "Sparse-diag-op-defs.h" |
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55 |
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56 #include "Sparse-perm-op-defs.h" |
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57 |
5681 | 58 // Define whether to use a basic QR solver or one that uses a Dulmange |
59 // Mendelsohn factorization to seperate the problem into under-determined, | |
60 // well-determined and over-determined parts and solves them seperately | |
61 #ifndef USE_QRSOLVE | |
62 #include "sparse-dmsolve.cc" | |
63 #endif | |
64 | |
5164 | 65 // Fortran functions we call. |
66 extern "C" | |
67 { | |
68 F77_RET_T | |
6242 | 69 F77_FUNC (dgbtrf, DGBTRF) (const octave_idx_type&, const octave_idx_type&, |
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70 const octave_idx_type&, const octave_idx_type&, |
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71 double*, const octave_idx_type&, |
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72 octave_idx_type*, octave_idx_type&); |
5164 | 73 |
74 F77_RET_T | |
5275 | 75 F77_FUNC (dgbtrs, DGBTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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76 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
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77 const double*, const octave_idx_type&, |
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78 const octave_idx_type*, double*, const octave_idx_type&, octave_idx_type& |
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79 F77_CHAR_ARG_LEN_DECL); |
5164 | 80 |
81 F77_RET_T | |
5275 | 82 F77_FUNC (dgbcon, DGBCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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83 const octave_idx_type&, const octave_idx_type&, double*, |
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84 const octave_idx_type&, const octave_idx_type*, const double&, |
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85 double&, double*, octave_idx_type*, octave_idx_type& |
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86 F77_CHAR_ARG_LEN_DECL); |
5164 | 87 |
88 F77_RET_T | |
5275 | 89 F77_FUNC (dpbtrf, DPBTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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90 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& |
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91 F77_CHAR_ARG_LEN_DECL); |
5164 | 92 |
93 F77_RET_T | |
5275 | 94 F77_FUNC (dpbtrs, DPBTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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95 const octave_idx_type&, const octave_idx_type&, double*, const octave_idx_type&, |
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96 double*, const octave_idx_type&, octave_idx_type& |
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97 F77_CHAR_ARG_LEN_DECL); |
5164 | 98 |
99 F77_RET_T | |
5275 | 100 F77_FUNC (dpbcon, DPBCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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101 const octave_idx_type&, double*, const octave_idx_type&, |
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102 const double&, double&, double*, octave_idx_type*, octave_idx_type& |
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103 F77_CHAR_ARG_LEN_DECL); |
5164 | 104 F77_RET_T |
5275 | 105 F77_FUNC (dptsv, DPTSV) (const octave_idx_type&, const octave_idx_type&, double*, double*, |
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106 double*, const octave_idx_type&, octave_idx_type&); |
5164 | 107 |
108 F77_RET_T | |
5275 | 109 F77_FUNC (dgtsv, DGTSV) (const octave_idx_type&, const octave_idx_type&, double*, double*, |
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110 double*, double*, const octave_idx_type&, octave_idx_type&); |
5164 | 111 |
112 F77_RET_T | |
5275 | 113 F77_FUNC (dgttrf, DGTTRF) (const octave_idx_type&, double*, double*, double*, double*, |
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114 octave_idx_type*, octave_idx_type&); |
5164 | 115 |
116 F77_RET_T | |
5275 | 117 F77_FUNC (dgttrs, DGTTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
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118 const octave_idx_type&, const double*, const double*, |
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119 const double*, const double*, const octave_idx_type*, |
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120 double *, const octave_idx_type&, octave_idx_type& |
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121 F77_CHAR_ARG_LEN_DECL); |
5164 | 122 |
123 F77_RET_T | |
5322 | 124 F77_FUNC (zptsv, ZPTSV) (const octave_idx_type&, const octave_idx_type&, double*, Complex*, |
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125 Complex*, const octave_idx_type&, octave_idx_type&); |
5164 | 126 |
127 F77_RET_T | |
5275 | 128 F77_FUNC (zgtsv, ZGTSV) (const octave_idx_type&, const octave_idx_type&, Complex*, Complex*, |
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129 Complex*, Complex*, const octave_idx_type&, octave_idx_type&); |
5164 | 130 |
131 } | |
132 | |
133 SparseMatrix::SparseMatrix (const SparseBoolMatrix &a) | |
5681 | 134 : MSparse<double> (a.rows (), a.cols (), a.nnz ()) |
5164 | 135 { |
5275 | 136 octave_idx_type nc = cols (); |
5681 | 137 octave_idx_type nz = a.nnz (); |
5275 | 138 |
139 for (octave_idx_type i = 0; i < nc + 1; i++) | |
5164 | 140 cidx (i) = a.cidx (i); |
141 | |
5275 | 142 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 143 { |
144 data (i) = a.data (i); | |
145 ridx (i) = a.ridx (i); | |
146 } | |
147 } | |
148 | |
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149 SparseMatrix::SparseMatrix (const DiagMatrix& a) |
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150 : MSparse<double> (a.rows (), a.cols (), a.length ()) |
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151 { |
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152 octave_idx_type j = 0, l = a.length (); |
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153 for (octave_idx_type i = 0; i < l; i++) |
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154 { |
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155 cidx (i) = j; |
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156 if (a(i, i) != 0.0) |
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157 { |
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158 data (j) = a(i, i); |
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159 ridx (j) = i; |
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160 j++; |
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161 } |
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162 } |
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163 for (octave_idx_type i = l; i <= a.cols (); i++) |
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164 cidx(i) = j; |
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165 } |
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166 |
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167 SparseMatrix::SparseMatrix (const PermMatrix& a) |
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168 : MSparse<double> (a.rows (), a.cols (), a.rows ()) |
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169 { |
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170 octave_idx_type n = a.rows (); |
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171 for (octave_idx_type i = 0; i <= n; i++) |
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172 cidx (i) = i; |
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173 const Array<octave_idx_type> pv = a.pvec (); |
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174 |
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175 if (a.is_row_perm ()) |
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176 { |
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177 for (octave_idx_type i = 0; i < n; i++) |
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178 ridx (pv (i)) = i; |
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179 } |
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180 else |
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181 { |
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182 for (octave_idx_type i = 0; i < n; i++) |
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183 ridx (i) = pv (i); |
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184 } |
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185 |
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186 for (octave_idx_type i = 0; i < n; i++) |
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187 data (i) = 1.0; |
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188 } |
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189 |
5164 | 190 bool |
191 SparseMatrix::operator == (const SparseMatrix& a) const | |
192 { | |
5275 | 193 octave_idx_type nr = rows (); |
194 octave_idx_type nc = cols (); | |
5681 | 195 octave_idx_type nz = nnz (); |
5275 | 196 octave_idx_type nr_a = a.rows (); |
197 octave_idx_type nc_a = a.cols (); | |
5681 | 198 octave_idx_type nz_a = a.nnz (); |
5164 | 199 |
200 if (nr != nr_a || nc != nc_a || nz != nz_a) | |
201 return false; | |
202 | |
5275 | 203 for (octave_idx_type i = 0; i < nc + 1; i++) |
5164 | 204 if (cidx(i) != a.cidx(i)) |
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205 return false; |
5164 | 206 |
5275 | 207 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 208 if (data(i) != a.data(i) || ridx(i) != a.ridx(i)) |
209 return false; | |
210 | |
211 return true; | |
212 } | |
213 | |
214 bool | |
215 SparseMatrix::operator != (const SparseMatrix& a) const | |
216 { | |
217 return !(*this == a); | |
218 } | |
219 | |
220 bool | |
221 SparseMatrix::is_symmetric (void) const | |
222 { | |
6207 | 223 octave_idx_type nr = rows (); |
224 octave_idx_type nc = cols (); | |
225 | |
226 if (nr == nc && nr > 0) | |
5164 | 227 { |
6207 | 228 for (octave_idx_type j = 0; j < nc; j++) |
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229 { |
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230 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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231 { |
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232 octave_idx_type ri = ridx(i); |
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233 |
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234 if (ri != j) |
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235 { |
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236 bool found = false; |
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237 |
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238 for (octave_idx_type k = cidx(ri); k < cidx(ri+1); k++) |
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239 { |
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240 if (ridx(k) == j) |
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241 { |
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242 if (data(i) == data(k)) |
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243 found = true; |
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244 break; |
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245 } |
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246 } |
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247 |
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248 if (! found) |
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249 return false; |
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250 } |
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251 } |
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252 } |
5164 | 253 |
254 return true; | |
255 } | |
256 | |
257 return false; | |
258 } | |
259 | |
260 SparseMatrix& | |
5275 | 261 SparseMatrix::insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c) |
5164 | 262 { |
263 MSparse<double>::insert (a, r, c); | |
264 return *this; | |
265 } | |
266 | |
6823 | 267 SparseMatrix& |
268 SparseMatrix::insert (const SparseMatrix& a, const Array<octave_idx_type>& indx) | |
269 { | |
270 MSparse<double>::insert (a, indx); | |
271 return *this; | |
272 } | |
273 | |
5164 | 274 SparseMatrix |
275 SparseMatrix::max (int dim) const | |
276 { | |
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277 Array<octave_idx_type> dummy_idx; |
5164 | 278 return max (dummy_idx, dim); |
279 } | |
280 | |
281 SparseMatrix | |
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282 SparseMatrix::max (Array<octave_idx_type>& idx_arg, int dim) const |
5164 | 283 { |
284 SparseMatrix result; | |
285 dim_vector dv = dims (); | |
286 | |
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287 if (dv.numel () == 0 || dim >= dv.length ()) |
5164 | 288 return result; |
289 | |
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290 if (dim < 0) |
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291 dim = dv.first_non_singleton (); |
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292 |
5275 | 293 octave_idx_type nr = dv(0); |
294 octave_idx_type nc = dv(1); | |
5164 | 295 |
296 if (dim == 0) | |
297 { | |
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298 idx_arg.clear (1, nc); |
5275 | 299 octave_idx_type nel = 0; |
300 for (octave_idx_type j = 0; j < nc; j++) | |
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301 { |
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302 double tmp_max = octave_NaN; |
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303 octave_idx_type idx_j = 0; |
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304 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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305 { |
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306 if (ridx(i) != idx_j) |
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307 break; |
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308 else |
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309 idx_j++; |
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310 } |
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311 |
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312 if (idx_j != nr) |
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313 tmp_max = 0.; |
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314 |
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315 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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316 { |
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317 double tmp = data (i); |
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318 |
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319 if (xisnan (tmp)) |
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320 continue; |
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321 else if (xisnan (tmp_max) || tmp > tmp_max) |
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322 { |
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323 idx_j = ridx (i); |
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324 tmp_max = tmp; |
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325 } |
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326 |
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327 } |
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328 |
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329 idx_arg.elem (j) = xisnan (tmp_max) ? 0 : idx_j; |
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330 if (tmp_max != 0.) |
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331 nel++; |
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332 } |
5164 | 333 |
334 result = SparseMatrix (1, nc, nel); | |
335 | |
5275 | 336 octave_idx_type ii = 0; |
5164 | 337 result.xcidx (0) = 0; |
5275 | 338 for (octave_idx_type j = 0; j < nc; j++) |
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339 { |
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340 double tmp = elem (idx_arg(j), j); |
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341 if (tmp != 0.) |
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342 { |
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343 result.xdata (ii) = tmp; |
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344 result.xridx (ii++) = 0; |
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345 } |
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346 result.xcidx (j+1) = ii; |
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347 |
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348 } |
5164 | 349 } |
350 else | |
351 { | |
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352 idx_arg.resize (nr, 1, 0); |
5164 | 353 |
5275 | 354 for (octave_idx_type i = cidx(0); i < cidx(1); i++) |
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355 idx_arg.elem(ridx(i)) = -1; |
5164 | 356 |
5275 | 357 for (octave_idx_type j = 0; j < nc; j++) |
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358 for (octave_idx_type i = 0; i < nr; i++) |
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359 { |
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360 if (idx_arg.elem(i) != -1) |
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361 continue; |
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362 bool found = false; |
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363 for (octave_idx_type k = cidx(j); k < cidx(j+1); k++) |
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364 if (ridx(k) == i) |
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365 { |
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366 found = true; |
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367 break; |
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368 } |
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369 |
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370 if (!found) |
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371 idx_arg.elem(i) = j; |
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372 |
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373 } |
5164 | 374 |
5275 | 375 for (octave_idx_type j = 0; j < nc; j++) |
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376 { |
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377 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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378 { |
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379 octave_idx_type ir = ridx (i); |
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380 octave_idx_type ix = idx_arg.elem (ir); |
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381 double tmp = data (i); |
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382 |
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383 if (xisnan (tmp)) |
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384 continue; |
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385 else if (ix == -1 || tmp > elem (ir, ix)) |
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386 idx_arg.elem (ir) = j; |
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387 } |
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388 } |
5164 | 389 |
5275 | 390 octave_idx_type nel = 0; |
391 for (octave_idx_type j = 0; j < nr; j++) | |
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392 if (idx_arg.elem(j) == -1 || elem (j, idx_arg.elem (j)) != 0.) |
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393 nel++; |
5164 | 394 |
395 result = SparseMatrix (nr, 1, nel); | |
396 | |
5275 | 397 octave_idx_type ii = 0; |
5164 | 398 result.xcidx (0) = 0; |
399 result.xcidx (1) = nel; | |
5275 | 400 for (octave_idx_type j = 0; j < nr; j++) |
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401 { |
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402 if (idx_arg(j) == -1) |
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403 { |
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404 idx_arg(j) = 0; |
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405 result.xdata (ii) = octave_NaN; |
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406 result.xridx (ii++) = j; |
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407 } |
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408 else |
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409 { |
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410 double tmp = elem (j, idx_arg(j)); |
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411 if (tmp != 0.) |
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412 { |
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413 result.xdata (ii) = tmp; |
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414 result.xridx (ii++) = j; |
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415 } |
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416 } |
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417 } |
5164 | 418 } |
419 | |
420 return result; | |
421 } | |
422 | |
423 SparseMatrix | |
424 SparseMatrix::min (int dim) const | |
425 { | |
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426 Array<octave_idx_type> dummy_idx; |
5164 | 427 return min (dummy_idx, dim); |
428 } | |
429 | |
430 SparseMatrix | |
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431 SparseMatrix::min (Array<octave_idx_type>& idx_arg, int dim) const |
5164 | 432 { |
433 SparseMatrix result; | |
434 dim_vector dv = dims (); | |
435 | |
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436 if (dv.numel () == 0 || dim >= dv.length ()) |
5164 | 437 return result; |
438 | |
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439 if (dim < 0) |
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440 dim = dv.first_non_singleton (); |
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441 |
5275 | 442 octave_idx_type nr = dv(0); |
443 octave_idx_type nc = dv(1); | |
5164 | 444 |
445 if (dim == 0) | |
446 { | |
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447 idx_arg.clear (1, nc); |
5275 | 448 octave_idx_type nel = 0; |
449 for (octave_idx_type j = 0; j < nc; j++) | |
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450 { |
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451 double tmp_min = octave_NaN; |
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452 octave_idx_type idx_j = 0; |
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453 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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454 { |
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455 if (ridx(i) != idx_j) |
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456 break; |
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457 else |
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458 idx_j++; |
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459 } |
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460 |
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461 if (idx_j != nr) |
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462 tmp_min = 0.; |
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463 |
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464 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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465 { |
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466 double tmp = data (i); |
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467 |
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468 if (xisnan (tmp)) |
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469 continue; |
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470 else if (xisnan (tmp_min) || tmp < tmp_min) |
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471 { |
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472 idx_j = ridx (i); |
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473 tmp_min = tmp; |
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474 } |
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475 |
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476 } |
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477 |
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478 idx_arg.elem (j) = xisnan (tmp_min) ? 0 : idx_j; |
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479 if (tmp_min != 0.) |
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480 nel++; |
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481 } |
5164 | 482 |
483 result = SparseMatrix (1, nc, nel); | |
484 | |
5275 | 485 octave_idx_type ii = 0; |
5164 | 486 result.xcidx (0) = 0; |
5275 | 487 for (octave_idx_type j = 0; j < nc; j++) |
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488 { |
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489 double tmp = elem (idx_arg(j), j); |
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490 if (tmp != 0.) |
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491 { |
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492 result.xdata (ii) = tmp; |
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493 result.xridx (ii++) = 0; |
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494 } |
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495 result.xcidx (j+1) = ii; |
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496 |
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497 } |
5164 | 498 } |
499 else | |
500 { | |
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501 idx_arg.resize (nr, 1, 0); |
5164 | 502 |
5275 | 503 for (octave_idx_type i = cidx(0); i < cidx(1); i++) |
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504 idx_arg.elem(ridx(i)) = -1; |
5164 | 505 |
5275 | 506 for (octave_idx_type j = 0; j < nc; j++) |
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507 for (octave_idx_type i = 0; i < nr; i++) |
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508 { |
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509 if (idx_arg.elem(i) != -1) |
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510 continue; |
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511 bool found = false; |
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512 for (octave_idx_type k = cidx(j); k < cidx(j+1); k++) |
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513 if (ridx(k) == i) |
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514 { |
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515 found = true; |
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516 break; |
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517 } |
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518 |
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519 if (!found) |
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520 idx_arg.elem(i) = j; |
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521 |
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522 } |
5164 | 523 |
5275 | 524 for (octave_idx_type j = 0; j < nc; j++) |
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525 { |
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526 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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527 { |
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528 octave_idx_type ir = ridx (i); |
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529 octave_idx_type ix = idx_arg.elem (ir); |
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530 double tmp = data (i); |
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531 |
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532 if (xisnan (tmp)) |
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533 continue; |
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534 else if (ix == -1 || tmp < elem (ir, ix)) |
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535 idx_arg.elem (ir) = j; |
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536 } |
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537 } |
5164 | 538 |
5275 | 539 octave_idx_type nel = 0; |
540 for (octave_idx_type j = 0; j < nr; j++) | |
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541 if (idx_arg.elem(j) == -1 || elem (j, idx_arg.elem (j)) != 0.) |
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542 nel++; |
5164 | 543 |
544 result = SparseMatrix (nr, 1, nel); | |
545 | |
5275 | 546 octave_idx_type ii = 0; |
5164 | 547 result.xcidx (0) = 0; |
548 result.xcidx (1) = nel; | |
5275 | 549 for (octave_idx_type j = 0; j < nr; j++) |
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550 { |
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551 if (idx_arg(j) == -1) |
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552 { |
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553 idx_arg(j) = 0; |
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554 result.xdata (ii) = octave_NaN; |
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555 result.xridx (ii++) = j; |
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556 } |
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557 else |
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558 { |
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559 double tmp = elem (j, idx_arg(j)); |
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560 if (tmp != 0.) |
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561 { |
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562 result.xdata (ii) = tmp; |
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563 result.xridx (ii++) = j; |
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564 } |
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565 } |
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566 } |
5164 | 567 } |
568 | |
569 return result; | |
570 } | |
571 | |
8303
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572 RowVector |
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573 SparseMatrix::row (octave_idx_type i) const |
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574 { |
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575 octave_idx_type nc = columns (); |
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576 RowVector retval (nc, 0); |
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577 |
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578 for (octave_idx_type j = 0; j < nc; j++) |
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579 for (octave_idx_type k = cidx (j); k < cidx (j+1); k++) |
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580 { |
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581 if (ridx (k) == i) |
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582 { |
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583 retval(j) = data (k); |
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584 break; |
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585 } |
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586 } |
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587 |
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588 return retval; |
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589 } |
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590 |
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591 ColumnVector |
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592 SparseMatrix::column (octave_idx_type i) const |
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593 { |
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594 octave_idx_type nr = rows (); |
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595 ColumnVector retval (nr); |
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596 |
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597 for (octave_idx_type k = cidx (i); k < cidx (i+1); k++) |
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598 retval(ridx (k)) = data (k); |
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599 |
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600 return retval; |
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601 } |
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602 |
5164 | 603 SparseMatrix |
5275 | 604 SparseMatrix::concat (const SparseMatrix& rb, const Array<octave_idx_type>& ra_idx) |
5164 | 605 { |
606 // Don't use numel to avoid all possiblity of an overflow | |
607 if (rb.rows () > 0 && rb.cols () > 0) | |
608 insert (rb, ra_idx(0), ra_idx(1)); | |
609 return *this; | |
610 } | |
611 | |
612 SparseComplexMatrix | |
5275 | 613 SparseMatrix::concat (const SparseComplexMatrix& rb, const Array<octave_idx_type>& ra_idx) |
5164 | 614 { |
615 SparseComplexMatrix retval (*this); | |
616 if (rb.rows () > 0 && rb.cols () > 0) | |
617 retval.insert (rb, ra_idx(0), ra_idx(1)); | |
618 return retval; | |
619 } | |
620 | |
621 SparseMatrix | |
622 real (const SparseComplexMatrix& a) | |
623 { | |
5275 | 624 octave_idx_type nr = a.rows (); |
625 octave_idx_type nc = a.cols (); | |
5681 | 626 octave_idx_type nz = a.nnz (); |
5164 | 627 SparseMatrix r (nr, nc, nz); |
628 | |
5275 | 629 for (octave_idx_type i = 0; i < nc +1; i++) |
5164 | 630 r.cidx(i) = a.cidx(i); |
631 | |
5275 | 632 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 633 { |
5261 | 634 r.data(i) = std::real (a.data(i)); |
5164 | 635 r.ridx(i) = a.ridx(i); |
636 } | |
637 | |
638 return r; | |
639 } | |
640 | |
641 SparseMatrix | |
642 imag (const SparseComplexMatrix& a) | |
643 { | |
5275 | 644 octave_idx_type nr = a.rows (); |
645 octave_idx_type nc = a.cols (); | |
5681 | 646 octave_idx_type nz = a.nnz (); |
5164 | 647 SparseMatrix r (nr, nc, nz); |
648 | |
5275 | 649 for (octave_idx_type i = 0; i < nc +1; i++) |
5164 | 650 r.cidx(i) = a.cidx(i); |
651 | |
5275 | 652 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 653 { |
5261 | 654 r.data(i) = std::imag (a.data(i)); |
5164 | 655 r.ridx(i) = a.ridx(i); |
656 } | |
657 | |
658 return r; | |
659 } | |
660 | |
661 SparseMatrix | |
662 atan2 (const double& x, const SparseMatrix& y) | |
663 { | |
5275 | 664 octave_idx_type nr = y.rows (); |
665 octave_idx_type nc = y.cols (); | |
5164 | 666 |
667 if (x == 0.) | |
668 return SparseMatrix (nr, nc); | |
669 else | |
670 { | |
671 // Its going to be basically full, so this is probably the | |
672 // best way to handle it. | |
673 Matrix tmp (nr, nc, atan2 (x, 0.)); | |
674 | |
5275 | 675 for (octave_idx_type j = 0; j < nc; j++) |
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676 for (octave_idx_type i = y.cidx (j); i < y.cidx (j+1); i++) |
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677 tmp.elem (y.ridx(i), j) = atan2 (x, y.data(i)); |
5164 | 678 |
679 return SparseMatrix (tmp); | |
680 } | |
681 } | |
682 | |
683 SparseMatrix | |
684 atan2 (const SparseMatrix& x, const double& y) | |
685 { | |
5275 | 686 octave_idx_type nr = x.rows (); |
687 octave_idx_type nc = x.cols (); | |
5681 | 688 octave_idx_type nz = x.nnz (); |
5164 | 689 |
690 SparseMatrix retval (nr, nc, nz); | |
691 | |
5275 | 692 octave_idx_type ii = 0; |
5164 | 693 retval.xcidx(0) = 0; |
5275 | 694 for (octave_idx_type i = 0; i < nc; i++) |
5164 | 695 { |
5275 | 696 for (octave_idx_type j = x.cidx(i); j < x.cidx(i+1); j++) |
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697 { |
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698 double tmp = atan2 (x.data(j), y); |
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699 if (tmp != 0.) |
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700 { |
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701 retval.xdata (ii) = tmp; |
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702 retval.xridx (ii++) = x.ridx (j); |
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703 } |
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704 } |
5164 | 705 retval.xcidx (i+1) = ii; |
706 } | |
707 | |
708 if (ii != nz) | |
709 { | |
710 SparseMatrix retval2 (nr, nc, ii); | |
5275 | 711 for (octave_idx_type i = 0; i < nc+1; i++) |
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712 retval2.xcidx (i) = retval.cidx (i); |
5275 | 713 for (octave_idx_type i = 0; i < ii; i++) |
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714 { |
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715 retval2.xdata (i) = retval.data (i); |
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716 retval2.xridx (i) = retval.ridx (i); |
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717 } |
5164 | 718 return retval2; |
719 } | |
720 else | |
721 return retval; | |
722 } | |
723 | |
724 SparseMatrix | |
725 atan2 (const SparseMatrix& x, const SparseMatrix& y) | |
726 { | |
727 SparseMatrix r; | |
728 | |
729 if ((x.rows() == y.rows()) && (x.cols() == y.cols())) | |
730 { | |
5275 | 731 octave_idx_type x_nr = x.rows (); |
732 octave_idx_type x_nc = x.cols (); | |
733 | |
734 octave_idx_type y_nr = y.rows (); | |
735 octave_idx_type y_nc = y.cols (); | |
5164 | 736 |
737 if (x_nr != y_nr || x_nc != y_nc) | |
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738 gripe_nonconformant ("atan2", x_nr, x_nc, y_nr, y_nc); |
5164 | 739 else |
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740 { |
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741 r = SparseMatrix (x_nr, x_nc, (x.nnz () + y.nnz ())); |
5164 | 742 |
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743 octave_idx_type jx = 0; |
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744 r.cidx (0) = 0; |
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745 for (octave_idx_type i = 0 ; i < x_nc ; i++) |
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746 { |
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747 octave_idx_type ja = x.cidx(i); |
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748 octave_idx_type ja_max = x.cidx(i+1); |
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749 bool ja_lt_max= ja < ja_max; |
5164 | 750 |
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751 octave_idx_type jb = y.cidx(i); |
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752 octave_idx_type jb_max = y.cidx(i+1); |
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753 bool jb_lt_max = jb < jb_max; |
5164 | 754 |
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755 while (ja_lt_max || jb_lt_max ) |
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756 { |
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757 octave_quit (); |
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758 if ((! jb_lt_max) || |
5164 | 759 (ja_lt_max && (x.ridx(ja) < y.ridx(jb)))) |
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760 { |
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761 r.ridx(jx) = x.ridx(ja); |
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762 r.data(jx) = atan2 (x.data(ja), 0.); |
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763 jx++; |
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764 ja++; |
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765 ja_lt_max= ja < ja_max; |
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766 } |
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767 else if (( !ja_lt_max ) || |
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768 (jb_lt_max && (y.ridx(jb) < x.ridx(ja)) ) ) |
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769 { |
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770 jb++; |
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771 jb_lt_max= jb < jb_max; |
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772 } |
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773 else |
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774 { |
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775 double tmp = atan2 (x.data(ja), y.data(jb)); |
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776 if (tmp != 0.) |
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777 { |
5164 | 778 r.data(jx) = tmp; |
779 r.ridx(jx) = x.ridx(ja); | |
780 jx++; | |
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781 } |
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782 ja++; |
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783 ja_lt_max= ja < ja_max; |
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784 jb++; |
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785 jb_lt_max= jb < jb_max; |
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786 } |
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787 } |
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788 r.cidx(i+1) = jx; |
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789 } |
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790 |
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791 r.maybe_compress (); |
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792 } |
5164 | 793 } |
794 else | |
795 (*current_liboctave_error_handler) ("matrix size mismatch"); | |
796 | |
797 return r; | |
798 } | |
799 | |
800 SparseMatrix | |
801 SparseMatrix::inverse (void) const | |
802 { | |
5275 | 803 octave_idx_type info; |
5164 | 804 double rcond; |
5785 | 805 MatrixType mattype (*this); |
5506 | 806 return inverse (mattype, info, rcond, 0, 0); |
807 } | |
808 | |
809 SparseMatrix | |
5785 | 810 SparseMatrix::inverse (MatrixType& mattype) const |
5506 | 811 { |
812 octave_idx_type info; | |
813 double rcond; | |
814 return inverse (mattype, info, rcond, 0, 0); | |
5164 | 815 } |
816 | |
817 SparseMatrix | |
5785 | 818 SparseMatrix::inverse (MatrixType& mattype, octave_idx_type& info) const |
5164 | 819 { |
820 double rcond; | |
5506 | 821 return inverse (mattype, info, rcond, 0, 0); |
822 } | |
823 | |
824 SparseMatrix | |
5785 | 825 SparseMatrix::dinverse (MatrixType &mattyp, octave_idx_type& info, |
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826 double& rcond, const bool, |
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827 const bool calccond) const |
5506 | 828 { |
829 SparseMatrix retval; | |
830 | |
831 octave_idx_type nr = rows (); | |
832 octave_idx_type nc = cols (); | |
833 info = 0; | |
834 | |
835 if (nr == 0 || nc == 0 || nr != nc) | |
836 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
837 else | |
838 { | |
839 // Print spparms("spumoni") info if requested | |
840 int typ = mattyp.type (); | |
841 mattyp.info (); | |
842 | |
5785 | 843 if (typ == MatrixType::Diagonal || |
10314
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844 typ == MatrixType::Permuted_Diagonal) |
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845 { |
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846 if (typ == MatrixType::Permuted_Diagonal) |
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|
847 retval = transpose(); |
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|
848 else |
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|
849 retval = *this; |
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|
850 |
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|
851 // Force make_unique to be called |
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untabify liboctave C++ sources
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|
852 double *v = retval.data(); |
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|
853 |
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|
854 if (calccond) |
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|
855 { |
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|
856 double dmax = 0., dmin = octave_Inf; |
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untabify liboctave C++ sources
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|
857 for (octave_idx_type i = 0; i < nr; i++) |
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|
858 { |
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|
859 double tmp = fabs(v[i]); |
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|
860 if (tmp > dmax) |
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|
861 dmax = tmp; |
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|
862 if (tmp < dmin) |
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|
863 dmin = tmp; |
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|
864 } |
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|
865 rcond = dmin / dmax; |
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|
866 } |
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changeset
|
867 |
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|
868 for (octave_idx_type i = 0; i < nr; i++) |
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untabify liboctave C++ sources
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|
869 v[i] = 1.0 / v[i]; |
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untabify liboctave C++ sources
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|
870 } |
5506 | 871 else |
10314
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|
872 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5506 | 873 } |
874 | |
875 return retval; | |
876 } | |
877 | |
878 SparseMatrix | |
5785 | 879 SparseMatrix::tinverse (MatrixType &mattyp, octave_idx_type& info, |
10314
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880 double& rcond, const bool, |
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|
881 const bool calccond) const |
5506 | 882 { |
883 SparseMatrix retval; | |
884 | |
885 octave_idx_type nr = rows (); | |
886 octave_idx_type nc = cols (); | |
887 info = 0; | |
888 | |
889 if (nr == 0 || nc == 0 || nr != nc) | |
890 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
891 else | |
892 { | |
893 // Print spparms("spumoni") info if requested | |
894 int typ = mattyp.type (); | |
895 mattyp.info (); | |
896 | |
5785 | 897 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper || |
10314
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|
898 typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
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|
899 { |
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diff
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|
900 double anorm = 0.; |
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|
901 double ainvnorm = 0.; |
07ebe522dac2
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|
902 |
07ebe522dac2
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diff
changeset
|
903 if (calccond) |
07ebe522dac2
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diff
changeset
|
904 { |
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changeset
|
905 // Calculate the 1-norm of matrix for rcond calculation |
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untabify liboctave C++ sources
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diff
changeset
|
906 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
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diff
changeset
|
907 { |
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diff
changeset
|
908 double atmp = 0.; |
07ebe522dac2
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changeset
|
909 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
910 atmp += fabs(data(i)); |
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untabify liboctave C++ sources
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diff
changeset
|
911 if (atmp > anorm) |
07ebe522dac2
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|
912 anorm = atmp; |
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diff
changeset
|
913 } |
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diff
changeset
|
914 } |
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diff
changeset
|
915 |
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untabify liboctave C++ sources
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diff
changeset
|
916 if (typ == MatrixType::Upper || typ == MatrixType::Lower) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
917 { |
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changeset
|
918 octave_idx_type nz = nnz (); |
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untabify liboctave C++ sources
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|
919 octave_idx_type cx = 0; |
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untabify liboctave C++ sources
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|
920 octave_idx_type nz2 = nz; |
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untabify liboctave C++ sources
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changeset
|
921 retval = SparseMatrix (nr, nc, nz2); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
922 |
07ebe522dac2
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changeset
|
923 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
924 { |
07ebe522dac2
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10158
diff
changeset
|
925 octave_quit (); |
07ebe522dac2
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changeset
|
926 // place the 1 in the identity position |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
927 octave_idx_type cx_colstart = cx; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
928 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
929 if (cx == nz2) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
930 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
931 nz2 *= 2; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
932 retval.change_capacity (nz2); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
933 } |
07ebe522dac2
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10158
diff
changeset
|
934 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
935 retval.xcidx(i) = cx; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
936 retval.xridx(cx) = i; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
937 retval.xdata(cx) = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
938 cx++; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
939 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
940 // iterate accross columns of input matrix |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
941 for (octave_idx_type j = i+1; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
942 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
943 double v = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
944 // iterate to calculate sum |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
945 octave_idx_type colXp = retval.xcidx(i); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
946 octave_idx_type colUp = cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
947 octave_idx_type rpX, rpU; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
948 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
949 if (cidx(j) == cidx(j+1)) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
950 { |
07ebe522dac2
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10158
diff
changeset
|
951 (*current_liboctave_error_handler) |
07ebe522dac2
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10158
diff
changeset
|
952 ("division by zero"); |
07ebe522dac2
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10158
diff
changeset
|
953 goto inverse_singular; |
07ebe522dac2
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10158
diff
changeset
|
954 } |
07ebe522dac2
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10158
diff
changeset
|
955 |
07ebe522dac2
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10158
diff
changeset
|
956 do |
07ebe522dac2
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10158
diff
changeset
|
957 { |
07ebe522dac2
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10158
diff
changeset
|
958 octave_quit (); |
07ebe522dac2
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diff
changeset
|
959 rpX = retval.xridx(colXp); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
960 rpU = ridx(colUp); |
07ebe522dac2
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10158
diff
changeset
|
961 |
07ebe522dac2
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diff
changeset
|
962 if (rpX < rpU) |
07ebe522dac2
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10158
diff
changeset
|
963 colXp++; |
07ebe522dac2
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diff
changeset
|
964 else if (rpX > rpU) |
07ebe522dac2
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diff
changeset
|
965 colUp++; |
07ebe522dac2
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changeset
|
966 else |
07ebe522dac2
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10158
diff
changeset
|
967 { |
07ebe522dac2
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diff
changeset
|
968 v -= retval.xdata(colXp) * data(colUp); |
07ebe522dac2
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10158
diff
changeset
|
969 colXp++; |
07ebe522dac2
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10158
diff
changeset
|
970 colUp++; |
07ebe522dac2
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10158
diff
changeset
|
971 } |
07ebe522dac2
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diff
changeset
|
972 } while ((rpX<j) && (rpU<j) && |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
973 (colXp<cx) && (colUp<nz)); |
07ebe522dac2
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diff
changeset
|
974 |
07ebe522dac2
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diff
changeset
|
975 // get A(m,m) |
07ebe522dac2
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diff
changeset
|
976 if (typ == MatrixType::Upper) |
07ebe522dac2
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diff
changeset
|
977 colUp = cidx(j+1) - 1; |
07ebe522dac2
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diff
changeset
|
978 else |
07ebe522dac2
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diff
changeset
|
979 colUp = cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
980 double pivot = data(colUp); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
981 if (pivot == 0. || ridx(colUp) != j) |
07ebe522dac2
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10158
diff
changeset
|
982 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
983 (*current_liboctave_error_handler) |
07ebe522dac2
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10158
diff
changeset
|
984 ("division by zero"); |
07ebe522dac2
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diff
changeset
|
985 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
986 } |
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 if (v != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
989 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
990 if (cx == nz2) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
991 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
992 nz2 *= 2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
993 retval.change_capacity (nz2); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
994 } |
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 retval.xridx(cx) = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
997 retval.xdata(cx) = v / pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
998 cx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
999 } |
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 // get A(m,m) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1003 octave_idx_type colUp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1004 if (typ == MatrixType::Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1005 colUp = cidx(i+1) - 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1006 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1007 colUp = cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1008 double pivot = data(colUp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1009 if (pivot == 0. || ridx(colUp) != i) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1010 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1011 (*current_liboctave_error_handler) ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1012 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1013 } |
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 if (pivot != 1.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1016 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
|
1017 retval.xdata(j) /= pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1018 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1019 retval.xcidx(nr) = cx; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1020 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1021 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1022 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1023 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1024 octave_idx_type nz = nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1025 octave_idx_type cx = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1026 octave_idx_type nz2 = nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1027 retval = SparseMatrix (nr, nc, nz2); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1028 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1029 OCTAVE_LOCAL_BUFFER (double, work, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1030 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1031 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1032 octave_idx_type *perm = mattyp.triangular_perm(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1033 if (typ == MatrixType::Permuted_Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1034 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1035 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1036 rperm[perm[i]] = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1037 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1038 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1039 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1040 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1041 rperm[i] = perm[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1042 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1043 perm[rperm[i]] = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1044 } |
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 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1047 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1048 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1049 octave_idx_type iidx = rperm[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1050 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1051 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1052 work[j] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1053 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1054 // place the 1 in the identity position |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1055 work[iidx] = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1056 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1057 // iterate accross columns of input matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1058 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
|
1059 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1060 double v = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1061 octave_idx_type jidx = perm[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1062 // iterate to calculate sum |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1063 for (octave_idx_type k = cidx(jidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1064 k < cidx(jidx+1); k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1065 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1066 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1067 v -= work[ridx(k)] * data(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1068 } |
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 // get A(m,m) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1071 double pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1072 if (typ == MatrixType::Permuted_Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1073 pivot = data(cidx(jidx+1) - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1074 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1075 pivot = data(cidx(jidx)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1076 if (pivot == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1077 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1078 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1079 ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1080 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1081 } |
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 work[j] = v / pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1084 } |
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 // get A(m,m) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1087 octave_idx_type colUp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1088 if (typ == MatrixType::Permuted_Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1089 colUp = cidx(perm[iidx]+1) - 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1090 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1091 colUp = cidx(perm[iidx]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1092 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1093 double pivot = data(colUp); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1094 if (pivot == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1095 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1096 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1097 ("division by zero"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1098 goto inverse_singular; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1099 } |
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 octave_idx_type new_cx = cx; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1102 for (octave_idx_type j = iidx; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1103 if (work[j] != 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1104 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1105 new_cx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1106 if (pivot != 1.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1107 work[j] /= pivot; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1108 } |
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 if (cx < new_cx) |
07ebe522dac2
untabify liboctave C++ sources
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1111 { |
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1112 nz2 = (2*nz2 < new_cx ? new_cx : 2*nz2); |
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1113 retval.change_capacity (nz2); |
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1114 } |
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1115 |
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1116 retval.xcidx(i) = cx; |
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1117 for (octave_idx_type j = iidx; j < nr; j++) |
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1118 if (work[j] != 0.) |
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1119 { |
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1120 retval.xridx(cx) = j; |
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1121 retval.xdata(cx++) = work[j]; |
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1122 } |
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1123 } |
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1124 |
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1125 retval.xcidx(nr) = cx; |
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1126 retval.maybe_compress (); |
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1127 } |
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1128 |
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1129 if (calccond) |
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1130 { |
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1131 // Calculate the 1-norm of inverse matrix for rcond calculation |
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1132 for (octave_idx_type j = 0; j < nr; j++) |
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1133 { |
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1134 double atmp = 0.; |
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1135 for (octave_idx_type i = retval.cidx(j); |
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1136 i < retval.cidx(j+1); i++) |
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1137 atmp += fabs(retval.data(i)); |
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1138 if (atmp > ainvnorm) |
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1139 ainvnorm = atmp; |
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1140 } |
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1141 |
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1142 rcond = 1. / ainvnorm / anorm; |
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1143 } |
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1144 } |
5506 | 1145 else |
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1146 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5506 | 1147 } |
1148 | |
1149 return retval; | |
5876 | 1150 |
1151 inverse_singular: | |
1152 return SparseMatrix(); | |
5164 | 1153 } |
1154 | |
1155 SparseMatrix | |
5785 | 1156 SparseMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
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1157 double& rcond, int, int calc_cond) const |
5506 | 1158 { |
1159 int typ = mattype.type (false); | |
1160 SparseMatrix ret; | |
1161 | |
5785 | 1162 if (typ == MatrixType::Unknown) |
5506 | 1163 typ = mattype.type (*this); |
1164 | |
5785 | 1165 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5506 | 1166 ret = dinverse (mattype, info, rcond, true, calc_cond); |
5785 | 1167 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5506 | 1168 ret = tinverse (mattype, info, rcond, true, calc_cond).transpose(); |
5785 | 1169 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
6185 | 1170 { |
1171 MatrixType newtype = mattype.transpose(); | |
1172 ret = transpose().tinverse (newtype, info, rcond, true, calc_cond); | |
1173 } | |
6840 | 1174 else |
5506 | 1175 { |
1176 if (mattype.is_hermitian()) | |
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1177 { |
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1178 MatrixType tmp_typ (MatrixType::Upper); |
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1179 SparseCHOL fact (*this, info, false); |
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1180 rcond = fact.rcond(); |
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1181 if (info == 0) |
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1182 { |
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1183 double rcond2; |
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1184 SparseMatrix Q = fact.Q(); |
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1185 SparseMatrix InvL = fact.L().transpose().tinverse(tmp_typ, |
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1186 info, rcond2, true, false); |
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1187 ret = Q * InvL.transpose() * InvL * Q.transpose(); |
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1188 } |
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1189 else |
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1190 { |
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1191 // Matrix is either singular or not positive definite |
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1192 mattype.mark_as_unsymmetric (); |
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1193 typ = MatrixType::Full; |
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1194 } |
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1195 } |
5506 | 1196 |
1197 if (!mattype.is_hermitian()) | |
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1198 { |
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1199 octave_idx_type n = rows(); |
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1200 ColumnVector Qinit(n); |
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1201 for (octave_idx_type i = 0; i < n; i++) |
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1202 Qinit(i) = i; |
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1203 |
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1204 MatrixType tmp_typ (MatrixType::Upper); |
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1205 SparseLU fact (*this, Qinit, Matrix(), false, false); |
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1206 rcond = fact.rcond(); |
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1207 double rcond2; |
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1208 SparseMatrix InvL = fact.L().transpose().tinverse(tmp_typ, |
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1209 info, rcond2, true, false); |
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1210 SparseMatrix InvU = fact.U().tinverse(tmp_typ, info, rcond2, |
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1211 true, false).transpose(); |
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1212 ret = fact.Pc().transpose() * InvU * InvL * fact.Pr(); |
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1213 } |
5506 | 1214 } |
1215 | |
1216 return ret; | |
5164 | 1217 } |
1218 | |
1219 DET | |
1220 SparseMatrix::determinant (void) const | |
1221 { | |
5275 | 1222 octave_idx_type info; |
5164 | 1223 double rcond; |
1224 return determinant (info, rcond, 0); | |
1225 } | |
1226 | |
1227 DET | |
5275 | 1228 SparseMatrix::determinant (octave_idx_type& info) const |
5164 | 1229 { |
1230 double rcond; | |
1231 return determinant (info, rcond, 0); | |
1232 } | |
1233 | |
1234 DET | |
5275 | 1235 SparseMatrix::determinant (octave_idx_type& err, double& rcond, int) const |
5164 | 1236 { |
1237 DET retval; | |
1238 | |
5203 | 1239 #ifdef HAVE_UMFPACK |
5275 | 1240 octave_idx_type nr = rows (); |
1241 octave_idx_type nc = cols (); | |
5164 | 1242 |
1243 if (nr == 0 || nc == 0 || nr != nc) | |
1244 { | |
8335 | 1245 retval = DET (1.0); |
5164 | 1246 } |
1247 else | |
1248 { | |
1249 err = 0; | |
1250 | |
1251 // Setup the control parameters | |
1252 Matrix Control (UMFPACK_CONTROL, 1); | |
1253 double *control = Control.fortran_vec (); | |
5322 | 1254 UMFPACK_DNAME (defaults) (control); |
5164 | 1255 |
5893 | 1256 double tmp = octave_sparse_params::get_key ("spumoni"); |
5164 | 1257 if (!xisnan (tmp)) |
10314
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1258 Control (UMFPACK_PRL) = tmp; |
5164 | 1259 |
5893 | 1260 tmp = octave_sparse_params::get_key ("piv_tol"); |
5164 | 1261 if (!xisnan (tmp)) |
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1262 { |
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1263 Control (UMFPACK_SYM_PIVOT_TOLERANCE) = tmp; |
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1264 Control (UMFPACK_PIVOT_TOLERANCE) = tmp; |
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1265 } |
5164 | 1266 |
1267 // Set whether we are allowed to modify Q or not | |
5893 | 1268 tmp = octave_sparse_params::get_key ("autoamd"); |
5164 | 1269 if (!xisnan (tmp)) |
10314
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1270 Control (UMFPACK_FIXQ) = tmp; |
5164 | 1271 |
1272 // Turn-off UMFPACK scaling for LU | |
1273 Control (UMFPACK_SCALE) = UMFPACK_SCALE_NONE; | |
1274 | |
5322 | 1275 UMFPACK_DNAME (report_control) (control); |
5164 | 1276 |
5275 | 1277 const octave_idx_type *Ap = cidx (); |
1278 const octave_idx_type *Ai = ridx (); | |
5164 | 1279 const double *Ax = data (); |
1280 | |
5322 | 1281 UMFPACK_DNAME (report_matrix) (nr, nc, Ap, Ai, Ax, 1, control); |
5164 | 1282 |
1283 void *Symbolic; | |
1284 Matrix Info (1, UMFPACK_INFO); | |
1285 double *info = Info.fortran_vec (); | |
5322 | 1286 int status = UMFPACK_DNAME (qsymbolic) (nr, nc, Ap, Ai, |
10314
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1287 Ax, 0, &Symbolic, control, info); |
5164 | 1288 |
1289 if (status < 0) | |
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1290 { |
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1291 (*current_liboctave_error_handler) |
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1292 ("SparseMatrix::determinant symbolic factorization failed"); |
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1293 |
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1294 UMFPACK_DNAME (report_status) (control, status); |
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1295 UMFPACK_DNAME (report_info) (control, info); |
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1296 |
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1297 UMFPACK_DNAME (free_symbolic) (&Symbolic) ; |
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1298 } |
5164 | 1299 else |
10314
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1300 { |
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1301 UMFPACK_DNAME (report_symbolic) (Symbolic, control); |
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1302 |
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1303 void *Numeric; |
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1304 status = UMFPACK_DNAME (numeric) (Ap, Ai, Ax, Symbolic, |
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1305 &Numeric, control, info) ; |
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1306 UMFPACK_DNAME (free_symbolic) (&Symbolic) ; |
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1307 |
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1308 rcond = Info (UMFPACK_RCOND); |
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1309 |
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1310 if (status < 0) |
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1311 { |
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1312 (*current_liboctave_error_handler) |
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1313 ("SparseMatrix::determinant numeric factorization failed"); |
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1314 |
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1315 UMFPACK_DNAME (report_status) (control, status); |
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1316 UMFPACK_DNAME (report_info) (control, info); |
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1317 |
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1318 UMFPACK_DNAME (free_numeric) (&Numeric); |
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1319 } |
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1320 else |
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1321 { |
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1322 UMFPACK_DNAME (report_numeric) (Numeric, control); |
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1323 |
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1324 double c10, e10; |
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1325 |
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1326 status = UMFPACK_DNAME (get_determinant) (&c10, &e10, Numeric, info); |
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1327 |
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1328 if (status < 0) |
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1329 { |
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1330 (*current_liboctave_error_handler) |
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1331 ("SparseMatrix::determinant error calculating determinant"); |
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1332 |
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1333 UMFPACK_DNAME (report_status) (control, status); |
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1334 UMFPACK_DNAME (report_info) (control, info); |
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1335 } |
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1336 else |
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1337 retval = DET (c10, e10, 10); |
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1338 |
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1339 UMFPACK_DNAME (free_numeric) (&Numeric); |
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1340 } |
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1341 } |
5164 | 1342 } |
5203 | 1343 #else |
1344 (*current_liboctave_error_handler) ("UMFPACK not installed"); | |
1345 #endif | |
5164 | 1346 |
1347 return retval; | |
1348 } | |
1349 | |
1350 Matrix | |
5785 | 1351 SparseMatrix::dsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& err, |
10314
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1352 double& rcond, solve_singularity_handler, |
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1353 bool calc_cond) const |
5164 | 1354 { |
1355 Matrix retval; | |
1356 | |
5275 | 1357 octave_idx_type nr = rows (); |
1358 octave_idx_type nc = cols (); | |
5630 | 1359 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1360 err = 0; |
1361 | |
6924 | 1362 if (nr != b.rows ()) |
5164 | 1363 (*current_liboctave_error_handler) |
1364 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1365 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1366 retval = Matrix (nc, b.cols (), 0.0); | |
5164 | 1367 else |
1368 { | |
1369 // Print spparms("spumoni") info if requested | |
1370 int typ = mattype.type (); | |
1371 mattype.info (); | |
1372 | |
5785 | 1373 if (typ == MatrixType::Diagonal || |
10314
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1374 typ == MatrixType::Permuted_Diagonal) |
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1375 { |
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1376 retval.resize (nc, b.cols(), 0.); |
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1377 if (typ == MatrixType::Diagonal) |
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1378 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1379 for (octave_idx_type i = 0; i < nm; i++) |
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1380 retval(i,j) = b(i,j) / data (i); |
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1381 else |
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1382 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1383 for (octave_idx_type k = 0; k < nc; k++) |
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1384 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
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1385 retval(k,j) = b(ridx(i),j) / data (i); |
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1386 |
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1387 if (calc_cond) |
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1388 { |
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1389 double dmax = 0., dmin = octave_Inf; |
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1390 for (octave_idx_type i = 0; i < nm; i++) |
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1391 { |
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1392 double tmp = fabs(data(i)); |
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1393 if (tmp > dmax) |
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1394 dmax = tmp; |
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1395 if (tmp < dmin) |
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1396 dmin = tmp; |
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1397 } |
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1398 rcond = dmin / dmax; |
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1399 } |
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1400 else |
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1401 rcond = 1.; |
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1402 } |
5164 | 1403 else |
10314
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1404 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1405 } |
1406 | |
1407 return retval; | |
1408 } | |
1409 | |
1410 SparseMatrix | |
5785 | 1411 SparseMatrix::dsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
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1412 octave_idx_type& err, double& rcond, |
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1413 solve_singularity_handler, bool calc_cond) const |
5164 | 1414 { |
1415 SparseMatrix retval; | |
1416 | |
5275 | 1417 octave_idx_type nr = rows (); |
1418 octave_idx_type nc = cols (); | |
5630 | 1419 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1420 err = 0; |
1421 | |
6924 | 1422 if (nr != b.rows ()) |
5164 | 1423 (*current_liboctave_error_handler) |
1424 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1425 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1426 retval = SparseMatrix (nc, b.cols ()); | |
5164 | 1427 else |
1428 { | |
1429 // Print spparms("spumoni") info if requested | |
1430 int typ = mattype.type (); | |
1431 mattype.info (); | |
1432 | |
5785 | 1433 if (typ == MatrixType::Diagonal || |
10314
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1434 typ == MatrixType::Permuted_Diagonal) |
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1435 { |
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1436 octave_idx_type b_nc = b.cols (); |
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1437 octave_idx_type b_nz = b.nnz (); |
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1438 retval = SparseMatrix (nc, b_nc, b_nz); |
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1439 |
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1440 retval.xcidx(0) = 0; |
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1441 octave_idx_type ii = 0; |
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1442 if (typ == MatrixType::Diagonal) |
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1443 for (octave_idx_type j = 0; j < b_nc; j++) |
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1444 { |
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1445 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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1446 { |
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1447 if (b.ridx(i) >= nm) |
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1448 break; |
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1449 retval.xridx (ii) = b.ridx(i); |
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1450 retval.xdata (ii++) = b.data(i) / data (b.ridx (i)); |
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1451 } |
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1452 retval.xcidx(j+1) = ii; |
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1453 } |
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1454 else |
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1455 for (octave_idx_type j = 0; j < b_nc; j++) |
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1456 { |
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1457 for (octave_idx_type l = 0; l < nc; l++) |
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1458 for (octave_idx_type i = cidx(l); i < cidx(l+1); i++) |
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1459 { |
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1460 bool found = false; |
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1461 octave_idx_type k; |
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1462 for (k = b.cidx(j); k < b.cidx(j+1); k++) |
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1463 if (ridx(i) == b.ridx(k)) |
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1464 { |
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1465 found = true; |
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1466 break; |
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1467 } |
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1468 if (found) |
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1469 { |
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1470 retval.xridx (ii) = l; |
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1471 retval.xdata (ii++) = b.data(k) / data (i); |
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1472 } |
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1473 } |
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1474 retval.xcidx(j+1) = ii; |
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1475 } |
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1476 |
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1477 if (calc_cond) |
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1478 { |
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1479 double dmax = 0., dmin = octave_Inf; |
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1480 for (octave_idx_type i = 0; i < nm; i++) |
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1481 { |
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1482 double tmp = fabs(data(i)); |
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1483 if (tmp > dmax) |
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1484 dmax = tmp; |
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1485 if (tmp < dmin) |
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1486 dmin = tmp; |
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1487 } |
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1488 rcond = dmin / dmax; |
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1489 } |
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1490 else |
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1491 rcond = 1.; |
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1492 } |
5164 | 1493 else |
10314
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1494 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1495 } |
1496 | |
1497 return retval; | |
1498 } | |
1499 | |
1500 ComplexMatrix | |
5785 | 1501 SparseMatrix::dsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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1502 octave_idx_type& err, double& rcond, |
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1503 solve_singularity_handler, bool calc_cond) const |
5164 | 1504 { |
1505 ComplexMatrix retval; | |
1506 | |
5275 | 1507 octave_idx_type nr = rows (); |
1508 octave_idx_type nc = cols (); | |
5630 | 1509 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1510 err = 0; |
1511 | |
6924 | 1512 if (nr != b.rows ()) |
5164 | 1513 (*current_liboctave_error_handler) |
1514 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1515 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1516 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 1517 else |
1518 { | |
1519 // Print spparms("spumoni") info if requested | |
1520 int typ = mattype.type (); | |
1521 mattype.info (); | |
1522 | |
5785 | 1523 if (typ == MatrixType::Diagonal || |
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1524 typ == MatrixType::Permuted_Diagonal) |
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1525 { |
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1526 retval.resize (nc, b.cols(), 0); |
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1527 if (typ == MatrixType::Diagonal) |
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1528 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1529 for (octave_idx_type i = 0; i < nm; i++) |
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1530 retval(i,j) = b(i,j) / data (i); |
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1531 else |
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1532 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1533 for (octave_idx_type k = 0; k < nc; k++) |
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1534 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
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1535 retval(k,j) = b(ridx(i),j) / data (i); |
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1536 |
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1537 if (calc_cond) |
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1538 { |
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1539 double dmax = 0., dmin = octave_Inf; |
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1540 for (octave_idx_type i = 0; i < nm; i++) |
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1541 { |
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1542 double tmp = fabs(data(i)); |
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1543 if (tmp > dmax) |
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1544 dmax = tmp; |
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1545 if (tmp < dmin) |
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1546 dmin = tmp; |
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|
1547 } |
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1548 rcond = dmin / dmax; |
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1549 } |
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1550 else |
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1551 rcond = 1.; |
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1552 } |
5164 | 1553 else |
10314
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1554 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1555 } |
1556 | |
1557 return retval; | |
1558 } | |
1559 | |
1560 SparseComplexMatrix | |
5785 | 1561 SparseMatrix::dsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
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1562 octave_idx_type& err, double& rcond, |
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1563 solve_singularity_handler, bool calc_cond) const |
5164 | 1564 { |
1565 SparseComplexMatrix retval; | |
1566 | |
5275 | 1567 octave_idx_type nr = rows (); |
1568 octave_idx_type nc = cols (); | |
5630 | 1569 octave_idx_type nm = (nc < nr ? nc : nr); |
5164 | 1570 err = 0; |
1571 | |
6924 | 1572 if (nr != b.rows ()) |
5164 | 1573 (*current_liboctave_error_handler) |
1574 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1575 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1576 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 1577 else |
1578 { | |
1579 // Print spparms("spumoni") info if requested | |
1580 int typ = mattype.type (); | |
1581 mattype.info (); | |
1582 | |
5785 | 1583 if (typ == MatrixType::Diagonal || |
10314
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1584 typ == MatrixType::Permuted_Diagonal) |
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|
1585 { |
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|
1586 octave_idx_type b_nc = b.cols (); |
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1587 octave_idx_type b_nz = b.nnz (); |
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1588 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
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1589 |
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1590 retval.xcidx(0) = 0; |
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1591 octave_idx_type ii = 0; |
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1592 if (typ == MatrixType::Diagonal) |
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|
1593 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1594 { |
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1595 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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1596 { |
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1597 if (b.ridx(i) >= nm) |
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1598 break; |
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1599 retval.xridx (ii) = b.ridx(i); |
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1600 retval.xdata (ii++) = b.data(i) / data (b.ridx (i)); |
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|
1601 } |
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1602 retval.xcidx(j+1) = ii; |
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|
1603 } |
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|
1604 else |
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|
1605 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1606 { |
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1607 for (octave_idx_type l = 0; l < nc; l++) |
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1608 for (octave_idx_type i = cidx(l); i < cidx(l+1); i++) |
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1609 { |
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|
1610 bool found = false; |
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1611 octave_idx_type k; |
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1612 for (k = b.cidx(j); k < b.cidx(j+1); k++) |
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1613 if (ridx(i) == b.ridx(k)) |
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1614 { |
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1615 found = true; |
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1616 break; |
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1617 } |
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1618 if (found) |
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1619 { |
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1620 retval.xridx (ii) = l; |
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1621 retval.xdata (ii++) = b.data(k) / data (i); |
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1622 } |
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1623 } |
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1624 retval.xcidx(j+1) = ii; |
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1625 } |
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1626 |
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1627 if (calc_cond) |
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1628 { |
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1629 double dmax = 0., dmin = octave_Inf; |
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1630 for (octave_idx_type i = 0; i < nm; i++) |
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1631 { |
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1632 double tmp = fabs(data(i)); |
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1633 if (tmp > dmax) |
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|
1634 dmax = tmp; |
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1635 if (tmp < dmin) |
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|
1636 dmin = tmp; |
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1637 } |
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1638 rcond = dmin / dmax; |
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1639 } |
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1640 else |
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1641 rcond = 1.; |
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1642 } |
5164 | 1643 else |
10314
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1644 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1645 } |
1646 | |
1647 return retval; | |
1648 } | |
1649 | |
1650 Matrix | |
5785 | 1651 SparseMatrix::utsolve (MatrixType &mattype, const Matrix& b, |
10314
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untabify liboctave C++ sources
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|
1652 octave_idx_type& err, double& rcond, |
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untabify liboctave C++ sources
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diff
changeset
|
1653 solve_singularity_handler sing_handler, |
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untabify liboctave C++ sources
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diff
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|
1654 bool calc_cond) const |
5164 | 1655 { |
1656 Matrix retval; | |
1657 | |
5275 | 1658 octave_idx_type nr = rows (); |
1659 octave_idx_type nc = cols (); | |
5630 | 1660 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 1661 err = 0; |
1662 | |
6924 | 1663 if (nr != b.rows ()) |
5164 | 1664 (*current_liboctave_error_handler) |
1665 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1666 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1667 retval = Matrix (nc, b.cols (), 0.0); | |
5164 | 1668 else |
1669 { | |
1670 // Print spparms("spumoni") info if requested | |
1671 int typ = mattype.type (); | |
1672 mattype.info (); | |
1673 | |
5785 | 1674 if (typ == MatrixType::Permuted_Upper || |
10314
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untabify liboctave C++ sources
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diff
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|
1675 typ == MatrixType::Upper) |
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diff
changeset
|
1676 { |
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changeset
|
1677 double anorm = 0.; |
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untabify liboctave C++ sources
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changeset
|
1678 double ainvnorm = 0.; |
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untabify liboctave C++ sources
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diff
changeset
|
1679 octave_idx_type b_nc = b.cols (); |
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untabify liboctave C++ sources
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diff
changeset
|
1680 rcond = 1.; |
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|
1681 |
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|
1682 if (calc_cond) |
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untabify liboctave C++ sources
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diff
changeset
|
1683 { |
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|
1684 // Calculate the 1-norm of matrix for rcond calculation |
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untabify liboctave C++ sources
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changeset
|
1685 for (octave_idx_type j = 0; j < nc; j++) |
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untabify liboctave C++ sources
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diff
changeset
|
1686 { |
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changeset
|
1687 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1688 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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untabify liboctave C++ sources
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|
1689 atmp += fabs(data(i)); |
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untabify liboctave C++ sources
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diff
changeset
|
1690 if (atmp > anorm) |
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untabify liboctave C++ sources
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diff
changeset
|
1691 anorm = atmp; |
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untabify liboctave C++ sources
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changeset
|
1692 } |
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diff
changeset
|
1693 } |
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untabify liboctave C++ sources
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changeset
|
1694 |
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untabify liboctave C++ sources
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|
1695 if (typ == MatrixType::Permuted_Upper) |
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|
1696 { |
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|
1697 retval.resize (nc, b_nc); |
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untabify liboctave C++ sources
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diff
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|
1698 octave_idx_type *perm = mattype.triangular_perm (); |
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untabify liboctave C++ sources
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|
1699 OCTAVE_LOCAL_BUFFER (double, work, nm); |
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|
1700 |
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untabify liboctave C++ sources
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diff
changeset
|
1701 for (octave_idx_type j = 0; j < b_nc; j++) |
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untabify liboctave C++ sources
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diff
changeset
|
1702 { |
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untabify liboctave C++ sources
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diff
changeset
|
1703 for (octave_idx_type i = 0; i < nr; i++) |
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untabify liboctave C++ sources
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diff
changeset
|
1704 work[i] = b(i,j); |
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untabify liboctave C++ sources
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diff
changeset
|
1705 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1706 work[i] = 0.; |
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untabify liboctave C++ sources
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diff
changeset
|
1707 |
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untabify liboctave C++ sources
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diff
changeset
|
1708 for (octave_idx_type k = nc-1; k >= 0; k--) |
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untabify liboctave C++ sources
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diff
changeset
|
1709 { |
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untabify liboctave C++ sources
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diff
changeset
|
1710 octave_idx_type kidx = perm[k]; |
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untabify liboctave C++ sources
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diff
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|
1711 |
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untabify liboctave C++ sources
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diff
changeset
|
1712 if (work[k] != 0.) |
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untabify liboctave C++ sources
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diff
changeset
|
1713 { |
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untabify liboctave C++ sources
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diff
changeset
|
1714 if (ridx(cidx(kidx+1)-1) != k || |
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untabify liboctave C++ sources
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diff
changeset
|
1715 data(cidx(kidx+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1716 { |
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diff
changeset
|
1717 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1718 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1719 } |
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untabify liboctave C++ sources
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diff
changeset
|
1720 |
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untabify liboctave C++ sources
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diff
changeset
|
1721 double tmp = work[k] / data(cidx(kidx+1)-1); |
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untabify liboctave C++ sources
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diff
changeset
|
1722 work[k] = tmp; |
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untabify liboctave C++ sources
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diff
changeset
|
1723 for (octave_idx_type i = cidx(kidx); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1724 i < cidx(kidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1725 { |
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untabify liboctave C++ sources
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diff
changeset
|
1726 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1727 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1728 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
1729 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1730 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1731 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1732 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1733 retval.xelem (perm[i], j) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1734 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1735 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1736 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1737 { |
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untabify liboctave C++ sources
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diff
changeset
|
1738 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1739 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1740 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1741 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1742 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1743 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1744 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1745 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1746 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1747 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1748 octave_idx_type iidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1749 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1750 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1751 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1752 double tmp = work[k] / data(cidx(iidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1753 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1754 for (octave_idx_type i = cidx(iidx); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1755 i < cidx(iidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1756 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1757 octave_idx_type idx2 = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1758 work[idx2] = work[idx2] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
1759 } |
07ebe522dac2
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diff
changeset
|
1760 } |
07ebe522dac2
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diff
changeset
|
1761 } |
07ebe522dac2
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diff
changeset
|
1762 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1763 for (octave_idx_type i = 0; i < j+1; i++) |
07ebe522dac2
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changeset
|
1764 { |
07ebe522dac2
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changeset
|
1765 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1766 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1767 } |
07ebe522dac2
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changeset
|
1768 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1769 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1770 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1771 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1772 } |
07ebe522dac2
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diff
changeset
|
1773 } |
07ebe522dac2
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diff
changeset
|
1774 else |
07ebe522dac2
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diff
changeset
|
1775 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1776 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1777 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
1778 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1779 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1780 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1781 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1782 work[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
1783 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1784 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1785 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1786 for (octave_idx_type k = nc-1; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1787 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1788 if (work[k] != 0.) |
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1789 { |
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1790 if (ridx(cidx(k+1)-1) != k || |
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1791 data(cidx(k+1)-1) == 0.) |
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1792 { |
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1793 err = -2; |
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1794 goto triangular_error; |
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|
1795 } |
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1796 |
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1797 double tmp = work[k] / data(cidx(k+1)-1); |
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1798 work[k] = tmp; |
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1799 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
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1800 { |
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1801 octave_idx_type iidx = ridx(i); |
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1802 work[iidx] = work[iidx] - tmp * data(i); |
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1803 } |
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1804 } |
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1805 } |
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1806 |
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1807 for (octave_idx_type i = 0; i < nc; i++) |
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1808 retval.xelem (i, j) = work[i]; |
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1809 } |
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1810 |
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1811 if (calc_cond) |
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1812 { |
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1813 // Calculation of 1-norm of inv(*this) |
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1814 for (octave_idx_type i = 0; i < nm; i++) |
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1815 work[i] = 0.; |
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1816 |
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1817 for (octave_idx_type j = 0; j < nr; j++) |
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1818 { |
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1819 work[j] = 1.; |
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1820 |
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1821 for (octave_idx_type k = j; k >= 0; k--) |
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1822 { |
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1823 if (work[k] != 0.) |
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1824 { |
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1825 double tmp = work[k] / data(cidx(k+1)-1); |
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1826 work[k] = tmp; |
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1827 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
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1828 { |
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1829 octave_idx_type iidx = ridx(i); |
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1830 work[iidx] = work[iidx] - tmp * data(i); |
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1831 } |
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1832 } |
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1833 } |
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1834 double atmp = 0; |
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1835 for (octave_idx_type i = 0; i < j+1; i++) |
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1836 { |
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1837 atmp += fabs(work[i]); |
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1838 work[i] = 0.; |
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1839 } |
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1840 if (atmp > ainvnorm) |
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1841 ainvnorm = atmp; |
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1842 } |
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1843 rcond = 1. / ainvnorm / anorm; |
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1844 } |
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1845 } |
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1846 |
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1847 triangular_error: |
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1848 if (err != 0) |
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1849 { |
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1850 if (sing_handler) |
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1851 { |
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1852 sing_handler (rcond); |
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1853 mattype.mark_as_rectangular (); |
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1854 } |
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1855 else |
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1856 (*current_liboctave_error_handler) |
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1857 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
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1858 rcond); |
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1859 } |
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1860 |
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1861 volatile double rcond_plus_one = rcond + 1.0; |
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1862 |
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1863 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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1864 { |
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1865 err = -2; |
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1866 |
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1867 if (sing_handler) |
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1868 { |
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1869 sing_handler (rcond); |
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1870 mattype.mark_as_rectangular (); |
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1871 } |
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1872 else |
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1873 (*current_liboctave_error_handler) |
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1874 ("matrix singular to machine precision, rcond = %g", |
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1875 rcond); |
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1876 } |
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1877 } |
5164 | 1878 else |
10314
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1879 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 1880 } |
1881 | |
1882 return retval; | |
1883 } | |
1884 | |
1885 SparseMatrix | |
5785 | 1886 SparseMatrix::utsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
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1887 octave_idx_type& err, double& rcond, |
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1888 solve_singularity_handler sing_handler, |
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1889 bool calc_cond) const |
5164 | 1890 { |
1891 SparseMatrix retval; | |
1892 | |
5275 | 1893 octave_idx_type nr = rows (); |
1894 octave_idx_type nc = cols (); | |
5630 | 1895 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 1896 err = 0; |
1897 | |
6924 | 1898 if (nr != b.rows ()) |
5164 | 1899 (*current_liboctave_error_handler) |
1900 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 1901 else if (nr == 0 || nc == 0 || b.cols () == 0) |
1902 retval = SparseMatrix (nc, b.cols ()); | |
5164 | 1903 else |
1904 { | |
1905 // Print spparms("spumoni") info if requested | |
1906 int typ = mattype.type (); | |
1907 mattype.info (); | |
1908 | |
5785 | 1909 if (typ == MatrixType::Permuted_Upper || |
10314
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1910 typ == MatrixType::Upper) |
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1911 { |
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1912 double anorm = 0.; |
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1913 double ainvnorm = 0.; |
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1914 rcond = 1.; |
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1915 |
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1916 if (calc_cond) |
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1917 { |
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1918 // Calculate the 1-norm of matrix for rcond calculation |
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1919 for (octave_idx_type j = 0; j < nc; j++) |
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1920 { |
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1921 double atmp = 0.; |
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1922 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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1923 atmp += fabs(data(i)); |
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1924 if (atmp > anorm) |
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1925 anorm = atmp; |
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1926 } |
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1927 } |
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1928 |
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1929 octave_idx_type b_nc = b.cols (); |
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1930 octave_idx_type b_nz = b.nnz (); |
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1931 retval = SparseMatrix (nc, b_nc, b_nz); |
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1932 retval.xcidx(0) = 0; |
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1933 octave_idx_type ii = 0; |
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1934 octave_idx_type x_nz = b_nz; |
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1935 |
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1936 if (typ == MatrixType::Permuted_Upper) |
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|
1937 { |
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|
1938 octave_idx_type *perm = mattype.triangular_perm (); |
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1939 OCTAVE_LOCAL_BUFFER (double, work, nm); |
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|
1940 |
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1941 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nc); |
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1942 for (octave_idx_type i = 0; i < nc; i++) |
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1943 rperm[perm[i]] = i; |
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1944 |
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1945 for (octave_idx_type j = 0; j < b_nc; j++) |
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|
1946 { |
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|
1947 for (octave_idx_type i = 0; i < nm; i++) |
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1948 work[i] = 0.; |
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1949 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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1950 work[b.ridx(i)] = b.data(i); |
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1951 |
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1952 for (octave_idx_type k = nc-1; k >= 0; k--) |
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|
1953 { |
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|
1954 octave_idx_type kidx = perm[k]; |
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|
1955 |
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1956 if (work[k] != 0.) |
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|
1957 { |
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|
1958 if (ridx(cidx(kidx+1)-1) != k || |
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1959 data(cidx(kidx+1)-1) == 0.) |
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|
1960 { |
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1961 err = -2; |
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1962 goto triangular_error; |
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|
1963 } |
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|
1964 |
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1965 double tmp = work[k] / data(cidx(kidx+1)-1); |
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1966 work[k] = tmp; |
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1967 for (octave_idx_type i = cidx(kidx); |
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|
1968 i < cidx(kidx+1)-1; i++) |
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|
1969 { |
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|
1970 octave_idx_type iidx = ridx(i); |
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1971 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
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|
1972 } |
07ebe522dac2
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changeset
|
1973 } |
07ebe522dac2
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changeset
|
1974 } |
07ebe522dac2
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changeset
|
1975 |
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1976 // Count non-zeros in work vector and adjust space in |
07ebe522dac2
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1977 // retval if needed |
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1978 octave_idx_type new_nnz = 0; |
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1979 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
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|
1980 if (work[i] != 0.) |
07ebe522dac2
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changeset
|
1981 new_nnz++; |
07ebe522dac2
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changeset
|
1982 |
07ebe522dac2
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changeset
|
1983 if (ii + new_nnz > x_nz) |
07ebe522dac2
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changeset
|
1984 { |
07ebe522dac2
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changeset
|
1985 // Resize the sparse matrix |
07ebe522dac2
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|
1986 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
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|
1987 retval.change_capacity (sz); |
07ebe522dac2
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changeset
|
1988 x_nz = sz; |
07ebe522dac2
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changeset
|
1989 } |
07ebe522dac2
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changeset
|
1990 |
07ebe522dac2
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changeset
|
1991 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
1992 if (work[rperm[i]] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1993 { |
07ebe522dac2
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changeset
|
1994 retval.xridx(ii) = i; |
07ebe522dac2
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changeset
|
1995 retval.xdata(ii++) = work[rperm[i]]; |
07ebe522dac2
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changeset
|
1996 } |
07ebe522dac2
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changeset
|
1997 retval.xcidx(j+1) = ii; |
07ebe522dac2
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changeset
|
1998 } |
07ebe522dac2
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parents:
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diff
changeset
|
1999 |
07ebe522dac2
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changeset
|
2000 retval.maybe_compress (); |
07ebe522dac2
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diff
changeset
|
2001 |
07ebe522dac2
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diff
changeset
|
2002 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2003 { |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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changeset
|
2004 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2005 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
2006 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
2007 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2008 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2009 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2010 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2011 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2012 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2013 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2014 octave_idx_type iidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2015 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2016 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2017 { |
07ebe522dac2
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parents:
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diff
changeset
|
2018 double tmp = work[k] / data(cidx(iidx+1)-1); |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
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changeset
|
2019 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2020 for (octave_idx_type i = cidx(iidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2021 i < cidx(iidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2022 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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changeset
|
2023 octave_idx_type idx2 = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2024 work[idx2] = work[idx2] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2025 } |
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>
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changeset
|
2028 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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changeset
|
2029 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
|
2030 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2031 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2032 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2033 } |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2034 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
2035 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2036 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2037 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2038 } |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2041 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2042 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2043 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2044 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
|
2045 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2046 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2047 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2048 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
|
2049 work[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2050 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2051 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
|
2052 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2053 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2054 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2055 if (ridx(cidx(k+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2056 data(cidx(k+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2057 { |
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untabify liboctave C++ sources
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diff
changeset
|
2058 err = -2; |
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untabify liboctave C++ sources
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diff
changeset
|
2059 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2060 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2061 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2062 double tmp = work[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2063 work[k] = tmp; |
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untabify liboctave C++ sources
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diff
changeset
|
2064 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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diff
changeset
|
2065 { |
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untabify liboctave C++ sources
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diff
changeset
|
2066 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2067 work[iidx] = work[iidx] - tmp * data(i); |
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untabify liboctave C++ sources
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diff
changeset
|
2068 } |
07ebe522dac2
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10158
diff
changeset
|
2069 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2070 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2071 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2072 // Count non-zeros in work vector and adjust space in |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2073 // retval if needed |
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diff
changeset
|
2074 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2075 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2076 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2077 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2078 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2079 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2080 { |
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diff
changeset
|
2081 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
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|
2082 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2083 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2084 x_nz = sz; |
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untabify liboctave C++ sources
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diff
changeset
|
2085 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2086 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2087 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2088 if (work[i] != 0.) |
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2089 { |
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untabify liboctave C++ sources
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diff
changeset
|
2090 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2091 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2092 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2093 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2094 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2095 |
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untabify liboctave C++ sources
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diff
changeset
|
2096 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2097 |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2098 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
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|
2099 { |
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diff
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|
2100 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2101 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2102 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2103 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2104 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2105 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2106 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2107 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2108 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2109 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2110 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2111 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2112 double tmp = work[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2113 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2114 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2115 i < cidx(k+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2116 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2117 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2118 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2119 } |
07ebe522dac2
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parents:
10158
diff
changeset
|
2120 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2121 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2122 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2123 for (octave_idx_type i = 0; i < j+1; i++) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2124 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2125 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2126 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2127 } |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2128 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2129 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2130 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2131 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2132 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2133 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2134 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2135 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2136 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
2137 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2138 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2139 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2140 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2141 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
2142 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2143 else |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2144 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2145 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2146 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2147 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2148 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2149 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2150 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2151 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2152 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2153 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2154 |
07ebe522dac2
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diff
changeset
|
2155 if (sing_handler) |
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untabify liboctave C++ sources
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diff
changeset
|
2156 { |
07ebe522dac2
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diff
changeset
|
2157 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2158 mattype.mark_as_rectangular (); |
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diff
changeset
|
2159 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2160 else |
07ebe522dac2
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diff
changeset
|
2161 (*current_liboctave_error_handler) |
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changeset
|
2162 ("matrix singular to machine precision, rcond = %g", |
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diff
changeset
|
2163 rcond); |
07ebe522dac2
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diff
changeset
|
2164 } |
07ebe522dac2
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diff
changeset
|
2165 } |
5164 | 2166 else |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2167 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2168 } |
2169 return retval; | |
2170 } | |
2171 | |
2172 ComplexMatrix | |
5785 | 2173 SparseMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
07ebe522dac2
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|
2174 octave_idx_type& err, double& rcond, |
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diff
changeset
|
2175 solve_singularity_handler sing_handler, |
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diff
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|
2176 bool calc_cond) const |
5164 | 2177 { |
2178 ComplexMatrix retval; | |
2179 | |
5275 | 2180 octave_idx_type nr = rows (); |
2181 octave_idx_type nc = cols (); | |
5630 | 2182 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 2183 err = 0; |
2184 | |
6924 | 2185 if (nr != b.rows ()) |
5164 | 2186 (*current_liboctave_error_handler) |
2187 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2188 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2189 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 2190 else |
2191 { | |
2192 // Print spparms("spumoni") info if requested | |
2193 int typ = mattype.type (); | |
2194 mattype.info (); | |
2195 | |
5785 | 2196 if (typ == MatrixType::Permuted_Upper || |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2197 typ == MatrixType::Upper) |
07ebe522dac2
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diff
changeset
|
2198 { |
07ebe522dac2
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changeset
|
2199 double anorm = 0.; |
07ebe522dac2
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diff
changeset
|
2200 double ainvnorm = 0.; |
07ebe522dac2
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diff
changeset
|
2201 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2202 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2203 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2204 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2205 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2206 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2207 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2208 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2209 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2210 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
|
2211 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2212 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2213 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2214 } |
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 if (typ == MatrixType::Permuted_Upper) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2218 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2219 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2220 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2221 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2222 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2223 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
|
2224 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2225 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2226 cwork[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2227 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2228 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2229 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2230 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
|
2231 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2232 octave_idx_type kidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2233 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2234 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2235 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2236 if (ridx(cidx(kidx+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2237 data(cidx(kidx+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2238 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2239 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2240 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2241 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2242 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2243 Complex tmp = cwork[k] / data(cidx(kidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2244 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2245 for (octave_idx_type i = cidx(kidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2246 i < cidx(kidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2247 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2248 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2249 cwork[iidx] = cwork[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2250 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2251 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2252 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2255 retval.xelem (perm[i], j) = cwork[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2256 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2257 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2258 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2259 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2260 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2261 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2262 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2263 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2264 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2265 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2266 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2267 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2268 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2269 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2270 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2271 octave_idx_type iidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2272 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2273 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2274 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2275 double tmp = work[k] / data(cidx(iidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2276 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2277 for (octave_idx_type i = cidx(iidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2278 i < cidx(iidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2279 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2280 octave_idx_type idx2 = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2281 work[idx2] = work[idx2] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2282 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2283 } |
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 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2286 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
|
2287 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2288 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2289 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2290 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2291 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2292 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2293 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2294 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2295 } |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2298 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2299 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2300 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2301 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2302 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
|
2303 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2304 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2305 cwork[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2306 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2307 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2308 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2309 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
|
2310 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2311 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2312 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2313 if (ridx(cidx(k+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2314 data(cidx(k+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2315 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2316 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2317 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2318 } |
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 Complex tmp = cwork[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2321 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2322 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2323 { |
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2324 octave_idx_type iidx = ridx(i); |
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2325 cwork[iidx] = cwork[iidx] - tmp * data(i); |
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2326 } |
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|
2327 } |
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|
2328 } |
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|
2329 |
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|
2330 for (octave_idx_type i = 0; i < nc; i++) |
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untabify liboctave C++ sources
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2331 retval.xelem (i, j) = cwork[i]; |
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|
2332 } |
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|
2333 |
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|
2334 if (calc_cond) |
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|
2335 { |
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|
2336 // Calculation of 1-norm of inv(*this) |
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2337 OCTAVE_LOCAL_BUFFER (double, work, nm); |
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|
2338 for (octave_idx_type i = 0; i < nm; i++) |
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|
2339 work[i] = 0.; |
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|
2340 |
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|
2341 for (octave_idx_type j = 0; j < nr; j++) |
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|
2342 { |
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|
2343 work[j] = 1.; |
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|
2344 |
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2345 for (octave_idx_type k = j; k >= 0; k--) |
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|
2346 { |
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2347 if (work[k] != 0.) |
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2348 { |
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2349 double tmp = work[k] / data(cidx(k+1)-1); |
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untabify liboctave C++ sources
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2350 work[k] = tmp; |
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2351 for (octave_idx_type i = cidx(k); |
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untabify liboctave C++ sources
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2352 i < cidx(k+1)-1; i++) |
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|
2353 { |
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2354 octave_idx_type iidx = ridx(i); |
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untabify liboctave C++ sources
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|
2355 work[iidx] = work[iidx] - tmp * data(i); |
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|
2356 } |
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|
2357 } |
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|
2358 } |
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|
2359 double atmp = 0; |
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2360 for (octave_idx_type i = 0; i < j+1; i++) |
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|
2361 { |
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2362 atmp += fabs(work[i]); |
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2363 work[i] = 0.; |
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|
2364 } |
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2365 if (atmp > ainvnorm) |
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2366 ainvnorm = atmp; |
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|
2367 } |
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2368 rcond = 1. / ainvnorm / anorm; |
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|
2369 } |
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|
2370 } |
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|
2371 |
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|
2372 triangular_error: |
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2373 if (err != 0) |
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|
2374 { |
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|
2375 if (sing_handler) |
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|
2376 { |
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2377 sing_handler (rcond); |
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|
2378 mattype.mark_as_rectangular (); |
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|
2379 } |
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|
2380 else |
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|
2381 (*current_liboctave_error_handler) |
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2382 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
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|
2383 rcond); |
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|
2384 } |
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|
2385 |
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|
2386 volatile double rcond_plus_one = rcond + 1.0; |
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|
2387 |
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|
2388 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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|
2389 { |
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|
2390 err = -2; |
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|
2391 |
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|
2392 if (sing_handler) |
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|
2393 { |
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|
2394 sing_handler (rcond); |
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|
2395 mattype.mark_as_rectangular (); |
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|
2396 } |
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|
2397 else |
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|
2398 (*current_liboctave_error_handler) |
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|
2399 ("matrix singular to machine precision, rcond = %g", |
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|
2400 rcond); |
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|
2401 } |
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|
2402 } |
5164 | 2403 else |
10314
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|
2404 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2405 } |
2406 | |
2407 return retval; | |
2408 } | |
2409 | |
2410 SparseComplexMatrix | |
5785 | 2411 SparseMatrix::utsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
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2412 octave_idx_type& err, double& rcond, |
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2413 solve_singularity_handler sing_handler, |
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|
2414 bool calc_cond) const |
5164 | 2415 { |
2416 SparseComplexMatrix retval; | |
2417 | |
5275 | 2418 octave_idx_type nr = rows (); |
2419 octave_idx_type nc = cols (); | |
5630 | 2420 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 2421 err = 0; |
2422 | |
6924 | 2423 if (nr != b.rows ()) |
5164 | 2424 (*current_liboctave_error_handler) |
2425 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2426 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2427 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 2428 else |
2429 { | |
2430 // Print spparms("spumoni") info if requested | |
2431 int typ = mattype.type (); | |
2432 mattype.info (); | |
2433 | |
5785 | 2434 if (typ == MatrixType::Permuted_Upper || |
10314
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2435 typ == MatrixType::Upper) |
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|
2436 { |
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|
2437 double anorm = 0.; |
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2438 double ainvnorm = 0.; |
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|
2439 rcond = 1.; |
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|
2440 |
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|
2441 if (calc_cond) |
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|
2442 { |
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|
2443 // Calculate the 1-norm of matrix for rcond calculation |
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|
2444 for (octave_idx_type j = 0; j < nc; j++) |
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|
2445 { |
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|
2446 double atmp = 0.; |
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|
2447 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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|
2448 atmp += fabs(data(i)); |
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|
2449 if (atmp > anorm) |
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|
2450 anorm = atmp; |
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|
2451 } |
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changeset
|
2452 } |
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changeset
|
2453 |
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2454 octave_idx_type b_nc = b.cols (); |
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2455 octave_idx_type b_nz = b.nnz (); |
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2456 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
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2457 retval.xcidx(0) = 0; |
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2458 octave_idx_type ii = 0; |
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2459 octave_idx_type x_nz = b_nz; |
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|
2460 |
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2461 if (typ == MatrixType::Permuted_Upper) |
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|
2462 { |
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2463 octave_idx_type *perm = mattype.triangular_perm (); |
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|
2464 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
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|
2465 |
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|
2466 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nc); |
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2467 for (octave_idx_type i = 0; i < nc; i++) |
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|
2468 rperm[perm[i]] = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2469 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2470 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
|
2471 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2472 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2473 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2474 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
|
2475 cwork[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2476 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2477 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
|
2478 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2479 octave_idx_type kidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2480 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2481 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2482 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2483 if (ridx(cidx(kidx+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2484 data(cidx(kidx+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2485 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2486 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2487 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2488 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2489 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2490 Complex tmp = cwork[k] / data(cidx(kidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2491 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2492 for (octave_idx_type i = cidx(kidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2493 i < cidx(kidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2494 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2495 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2496 cwork[iidx] = cwork[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2497 } |
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 // 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
|
2502 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2503 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2504 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2505 if (cwork[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2506 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2507 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2508 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2509 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2510 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2511 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
|
2512 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2513 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2514 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2517 if (cwork[rperm[i]] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2518 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2519 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2520 retval.xdata(ii++) = cwork[rperm[i]]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2521 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2522 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2523 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2524 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2525 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2526 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2527 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2528 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2529 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2530 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2531 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2532 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2533 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2534 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2535 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2536 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2537 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2538 for (octave_idx_type k = j; k >= 0; k--) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2539 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2540 octave_idx_type iidx = perm[k]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2541 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2542 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2543 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2544 double tmp = work[k] / data(cidx(iidx+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2545 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2546 for (octave_idx_type i = cidx(iidx); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2547 i < cidx(iidx+1)-1; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2548 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2549 octave_idx_type idx2 = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2550 work[idx2] = work[idx2] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2551 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2552 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2553 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2554 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2555 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
|
2556 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2557 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2558 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2559 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2560 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2561 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2562 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2563 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2564 } |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2567 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2568 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2569 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2570 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
|
2571 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2572 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2573 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2574 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
|
2575 cwork[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2576 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2577 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
|
2578 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2579 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2580 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2581 if (ridx(cidx(k+1)-1) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2582 data(cidx(k+1)-1) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2583 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2584 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2585 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2586 } |
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 Complex tmp = cwork[k] / data(cidx(k+1)-1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2589 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
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|
2590 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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|
2591 { |
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untabify liboctave C++ sources
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diff
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|
2592 octave_idx_type iidx = ridx(i); |
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untabify liboctave C++ sources
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|
2593 cwork[iidx] = cwork[iidx] - tmp * data(i); |
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untabify liboctave C++ sources
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diff
changeset
|
2594 } |
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diff
changeset
|
2595 } |
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diff
changeset
|
2596 } |
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untabify liboctave C++ sources
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diff
changeset
|
2597 |
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untabify liboctave C++ sources
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diff
changeset
|
2598 // Count non-zeros in work vector and adjust space in |
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untabify liboctave C++ sources
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diff
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|
2599 // retval if needed |
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untabify liboctave C++ sources
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|
2600 octave_idx_type new_nnz = 0; |
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untabify liboctave C++ sources
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diff
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|
2601 for (octave_idx_type i = 0; i < nc; i++) |
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untabify liboctave C++ sources
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diff
changeset
|
2602 if (cwork[i] != 0.) |
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untabify liboctave C++ sources
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diff
changeset
|
2603 new_nnz++; |
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untabify liboctave C++ sources
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diff
changeset
|
2604 |
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untabify liboctave C++ sources
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diff
changeset
|
2605 if (ii + new_nnz > x_nz) |
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untabify liboctave C++ sources
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diff
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|
2606 { |
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diff
changeset
|
2607 // Resize the sparse matrix |
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untabify liboctave C++ sources
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diff
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|
2608 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2609 retval.change_capacity (sz); |
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untabify liboctave C++ sources
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diff
changeset
|
2610 x_nz = sz; |
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untabify liboctave C++ sources
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diff
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|
2611 } |
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diff
changeset
|
2612 |
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untabify liboctave C++ sources
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changeset
|
2613 for (octave_idx_type i = 0; i < nc; i++) |
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untabify liboctave C++ sources
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|
2614 if (cwork[i] != 0.) |
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untabify liboctave C++ sources
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diff
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|
2615 { |
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|
2616 retval.xridx(ii) = i; |
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untabify liboctave C++ sources
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diff
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|
2617 retval.xdata(ii++) = cwork[i]; |
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untabify liboctave C++ sources
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diff
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|
2618 } |
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untabify liboctave C++ sources
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diff
changeset
|
2619 retval.xcidx(j+1) = ii; |
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untabify liboctave C++ sources
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diff
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|
2620 } |
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changeset
|
2621 |
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untabify liboctave C++ sources
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|
2622 retval.maybe_compress (); |
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untabify liboctave C++ sources
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|
2623 |
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|
2624 if (calc_cond) |
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|
2625 { |
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|
2626 // Calculation of 1-norm of inv(*this) |
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untabify liboctave C++ sources
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|
2627 OCTAVE_LOCAL_BUFFER (double, work, nm); |
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untabify liboctave C++ sources
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|
2628 for (octave_idx_type i = 0; i < nm; i++) |
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untabify liboctave C++ sources
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|
2629 work[i] = 0.; |
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untabify liboctave C++ sources
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|
2630 |
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untabify liboctave C++ sources
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diff
changeset
|
2631 for (octave_idx_type j = 0; j < nr; j++) |
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untabify liboctave C++ sources
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|
2632 { |
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untabify liboctave C++ sources
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|
2633 work[j] = 1.; |
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untabify liboctave C++ sources
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|
2634 |
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untabify liboctave C++ sources
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|
2635 for (octave_idx_type k = j; k >= 0; k--) |
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untabify liboctave C++ sources
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|
2636 { |
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changeset
|
2637 if (work[k] != 0.) |
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untabify liboctave C++ sources
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|
2638 { |
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|
2639 double tmp = work[k] / data(cidx(k+1)-1); |
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untabify liboctave C++ sources
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|
2640 work[k] = tmp; |
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untabify liboctave C++ sources
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|
2641 for (octave_idx_type i = cidx(k); |
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untabify liboctave C++ sources
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|
2642 i < cidx(k+1)-1; i++) |
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untabify liboctave C++ sources
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|
2643 { |
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|
2644 octave_idx_type iidx = ridx(i); |
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untabify liboctave C++ sources
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diff
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|
2645 work[iidx] = work[iidx] - tmp * data(i); |
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untabify liboctave C++ sources
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|
2646 } |
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diff
changeset
|
2647 } |
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diff
changeset
|
2648 } |
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|
2649 double atmp = 0; |
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untabify liboctave C++ sources
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|
2650 for (octave_idx_type i = 0; i < j+1; i++) |
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|
2651 { |
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untabify liboctave C++ sources
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|
2652 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2653 work[i] = 0.; |
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untabify liboctave C++ sources
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changeset
|
2654 } |
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untabify liboctave C++ sources
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changeset
|
2655 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2656 ainvnorm = atmp; |
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untabify liboctave C++ sources
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diff
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|
2657 } |
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diff
changeset
|
2658 rcond = 1. / ainvnorm / anorm; |
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untabify liboctave C++ sources
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diff
changeset
|
2659 } |
07ebe522dac2
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diff
changeset
|
2660 } |
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diff
changeset
|
2661 |
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diff
changeset
|
2662 triangular_error: |
07ebe522dac2
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diff
changeset
|
2663 if (err != 0) |
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untabify liboctave C++ sources
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diff
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|
2664 { |
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diff
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|
2665 if (sing_handler) |
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untabify liboctave C++ sources
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diff
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|
2666 { |
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changeset
|
2667 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2668 mattype.mark_as_rectangular (); |
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diff
changeset
|
2669 } |
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untabify liboctave C++ sources
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diff
changeset
|
2670 else |
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untabify liboctave C++ sources
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changeset
|
2671 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2672 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
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diff
changeset
|
2673 rcond); |
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diff
changeset
|
2674 } |
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changeset
|
2675 |
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changeset
|
2676 volatile double rcond_plus_one = rcond + 1.0; |
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untabify liboctave C++ sources
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|
2677 |
07ebe522dac2
untabify liboctave C++ sources
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|
2678 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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untabify liboctave C++ sources
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diff
changeset
|
2679 { |
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untabify liboctave C++ sources
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diff
changeset
|
2680 err = -2; |
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untabify liboctave C++ sources
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changeset
|
2681 |
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diff
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|
2682 if (sing_handler) |
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|
2683 { |
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|
2684 sing_handler (rcond); |
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untabify liboctave C++ sources
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|
2685 mattype.mark_as_rectangular (); |
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|
2686 } |
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changeset
|
2687 else |
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|
2688 (*current_liboctave_error_handler) |
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|
2689 ("matrix singular to machine precision, rcond = %g", |
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|
2690 rcond); |
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changeset
|
2691 } |
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|
2692 } |
5164 | 2693 else |
10314
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|
2694 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2695 } |
2696 | |
2697 return retval; | |
2698 } | |
2699 | |
2700 Matrix | |
5785 | 2701 SparseMatrix::ltsolve (MatrixType &mattype, const Matrix& b, |
10314
07ebe522dac2
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|
2702 octave_idx_type& err, double& rcond, |
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|
2703 solve_singularity_handler sing_handler, |
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|
2704 bool calc_cond) const |
5164 | 2705 { |
2706 Matrix retval; | |
2707 | |
5275 | 2708 octave_idx_type nr = rows (); |
2709 octave_idx_type nc = cols (); | |
5630 | 2710 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 2711 err = 0; |
2712 | |
6924 | 2713 if (nr != b.rows ()) |
5164 | 2714 (*current_liboctave_error_handler) |
2715 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2716 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2717 retval = Matrix (nc, b.cols (), 0.0); | |
5164 | 2718 else |
2719 { | |
2720 // Print spparms("spumoni") info if requested | |
2721 int typ = mattype.type (); | |
2722 mattype.info (); | |
2723 | |
5785 | 2724 if (typ == MatrixType::Permuted_Lower || |
10314
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|
2725 typ == MatrixType::Lower) |
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changeset
|
2726 { |
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changeset
|
2727 double anorm = 0.; |
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changeset
|
2728 double ainvnorm = 0.; |
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|
2729 octave_idx_type b_nc = b.cols (); |
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changeset
|
2730 rcond = 1.; |
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changeset
|
2731 |
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|
2732 if (calc_cond) |
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changeset
|
2733 { |
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changeset
|
2734 // Calculate the 1-norm of matrix for rcond calculation |
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changeset
|
2735 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2736 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2737 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2738 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
|
2739 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2740 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2741 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2742 } |
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 if (typ == MatrixType::Permuted_Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2746 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2747 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2748 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2749 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2750 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2751 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
|
2752 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2753 if (nc > nr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2754 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2755 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2756 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2757 work[perm[i]] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2758 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2759 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2760 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2761 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2762 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2763 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2764 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2765 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2766 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
|
2767 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2768 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2769 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2770 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2771 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2772 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2773 if (minr != k || data(mini) == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2774 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2775 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2776 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2777 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2778 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2779 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2780 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2781 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
|
2782 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2783 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2784 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2785 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2786 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2787 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2788 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2793 retval (i, j) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2794 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2795 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2796 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2797 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2798 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2799 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2800 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2801 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2802 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2803 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2804 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2805 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2806 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2807 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2808 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2809 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2810 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2811 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2812 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2813 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2814 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2815 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2816 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2817 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2818 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2819 } |
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 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2822 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2823 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2824 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2825 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2826 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2827 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2828 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2829 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2830 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2831 } |
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 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2836 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2837 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2838 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2839 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2840 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2841 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2842 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2843 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2844 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2845 } |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2848 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2849 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2850 retval.resize (nc, b_nc, 0.); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2851 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2852 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
|
2853 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2854 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2855 work[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2856 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2857 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2858 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2859 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2860 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2861 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2862 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2863 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2864 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2865 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2866 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2867 } |
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 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2870 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2871 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2872 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2873 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2874 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2875 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2876 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2881 retval.xelem (i, j) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2882 } |
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 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2885 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2886 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2887 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2888 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2889 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2890 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2891 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2892 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2893 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2894 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2895 { |
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 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2898 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2899 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2900 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2901 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2902 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2903 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2904 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2905 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2906 } |
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 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2910 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2911 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2912 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2913 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2914 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2915 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2916 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2917 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2918 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2919 } |
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 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2923 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2924 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2925 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2926 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2927 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2928 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2929 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2930 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2931 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2932 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2933 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2934 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2935 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2936 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2937 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2938 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2939 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2940 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2941 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2942 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2943 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2944 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2945 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2946 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2947 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2948 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2949 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2950 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2951 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2952 } |
5164 | 2953 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2954 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 2955 } |
2956 | |
2957 return retval; | |
2958 } | |
2959 | |
2960 SparseMatrix | |
5785 | 2961 SparseMatrix::ltsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2962 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2963 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2964 bool calc_cond) const |
5164 | 2965 { |
2966 SparseMatrix retval; | |
2967 | |
5275 | 2968 octave_idx_type nr = rows (); |
2969 octave_idx_type nc = cols (); | |
5630 | 2970 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 2971 err = 0; |
2972 | |
6924 | 2973 if (nr != b.rows ()) |
5164 | 2974 (*current_liboctave_error_handler) |
2975 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 2976 else if (nr == 0 || nc == 0 || b.cols () == 0) |
2977 retval = SparseMatrix (nc, b.cols ()); | |
5164 | 2978 else |
2979 { | |
2980 // Print spparms("spumoni") info if requested | |
2981 int typ = mattype.type (); | |
2982 mattype.info (); | |
2983 | |
5785 | 2984 if (typ == MatrixType::Permuted_Lower || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2985 typ == MatrixType::Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2986 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2987 double anorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2988 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2989 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2990 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2991 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2992 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2993 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2994 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2995 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2996 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2997 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
|
2998 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2999 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3000 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3001 } |
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 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3005 octave_idx_type b_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3006 retval = SparseMatrix (nc, b_nc, b_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3007 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3008 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3009 octave_idx_type x_nz = b_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3010 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3011 if (typ == MatrixType::Permuted_Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3012 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3013 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3014 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3015 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3016 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
|
3017 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3018 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3019 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3020 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
|
3021 work[perm[b.ridx(i)]] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3022 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3023 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3024 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3025 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3026 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3027 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3028 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3029 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3030 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
|
3031 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3032 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3033 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3034 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3035 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3036 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3037 if (minr != k || data(mini) == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3038 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3039 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3040 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3041 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3042 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3043 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3044 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3045 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3046 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3047 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3048 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3049 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3050 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3051 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3052 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3053 } |
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 // 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
|
3057 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3058 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3059 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3060 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3061 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3062 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3063 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3064 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3065 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3066 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
|
3067 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3068 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3069 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3072 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3073 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3074 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3075 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3076 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3077 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3078 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3079 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3080 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3081 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3082 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3083 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3084 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3085 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3086 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3087 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3088 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3089 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3090 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3091 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3092 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3093 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3094 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3095 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3096 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3097 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3098 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3099 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3100 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3101 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3102 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3103 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3104 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3105 } |
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 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3108 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3109 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3110 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3111 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3112 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3113 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3114 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3115 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3116 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3117 } |
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 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3122 for (octave_idx_type i = j; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3123 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3124 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3125 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3126 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3127 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3128 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3129 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3130 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3131 } |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3134 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3135 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3136 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3137 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
|
3138 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3139 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3140 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3141 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
|
3142 work[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3143 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3144 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3145 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3146 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3147 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3148 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3149 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3150 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3151 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3152 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3153 } |
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 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3156 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3157 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
|
3158 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3159 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3160 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3161 } |
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 // 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
|
3166 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3167 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3168 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3169 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3170 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3171 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3172 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3173 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3174 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3175 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
|
3176 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3177 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3178 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3181 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3182 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3183 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3184 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3185 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3186 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3187 } |
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 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3190 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3191 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3192 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3193 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3194 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3195 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3196 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3197 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3198 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3199 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3200 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3201 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3202 { |
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 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3205 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3206 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3207 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3208 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3209 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3210 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3211 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3212 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3213 } |
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 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3217 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3218 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3219 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3220 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3221 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3222 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3223 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3224 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3225 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3226 } |
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 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3230 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3231 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3232 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3233 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3234 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3235 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3236 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3237 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3238 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3239 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3240 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3241 } |
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 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3244 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3245 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3246 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3247 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3248 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3249 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3250 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3251 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3252 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3253 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3254 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3255 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3256 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3257 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3258 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3259 } |
5164 | 3260 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3261 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3262 } |
3263 | |
3264 return retval; | |
3265 } | |
3266 | |
3267 ComplexMatrix | |
5785 | 3268 SparseMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3269 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3270 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3271 bool calc_cond) const |
5164 | 3272 { |
3273 ComplexMatrix retval; | |
3274 | |
5275 | 3275 octave_idx_type nr = rows (); |
3276 octave_idx_type nc = cols (); | |
5630 | 3277 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 3278 err = 0; |
3279 | |
6924 | 3280 if (nr != b.rows ()) |
5164 | 3281 (*current_liboctave_error_handler) |
3282 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 3283 else if (nr == 0 || nc == 0 || b.cols () == 0) |
3284 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 3285 else |
3286 { | |
3287 // Print spparms("spumoni") info if requested | |
3288 int typ = mattype.type (); | |
3289 mattype.info (); | |
3290 | |
5785 | 3291 if (typ == MatrixType::Permuted_Lower || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3292 typ == MatrixType::Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3293 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3294 double anorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3295 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3296 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3297 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3298 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3299 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3300 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3301 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3302 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3303 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3304 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3305 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
|
3306 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3307 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3308 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3309 } |
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 if (typ == MatrixType::Permuted_Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3313 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3314 retval.resize (nc, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3315 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3316 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3317 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3318 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
|
3319 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3320 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3321 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3322 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3323 cwork[perm[i]] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3324 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3325 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3326 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3327 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3328 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3329 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3330 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3331 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3332 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
|
3333 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3334 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3335 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3336 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3337 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3338 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3339 if (minr != k || data(mini) == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3340 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3341 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3342 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3343 } |
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 Complex tmp = cwork[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3346 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3347 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
|
3348 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3349 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3350 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3351 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3352 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3353 cwork[iidx] = cwork[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3354 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3359 retval (i, j) = cwork[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3360 } |
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 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3363 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3364 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3365 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3366 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3367 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3368 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3369 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3370 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3371 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3372 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3373 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3374 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3375 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3376 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3377 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3378 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3379 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3380 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3381 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3382 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3383 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3384 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3385 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3386 } |
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 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3389 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3390 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3391 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3392 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3393 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3394 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3395 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3396 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3397 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3398 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3399 } |
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 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3403 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3404 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3405 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3406 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3407 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3408 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3409 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3410 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3411 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3412 } |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3415 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3416 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3417 retval.resize (nc, b_nc, 0.); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3418 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3419 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
|
3420 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3421 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3422 cwork[i] = b(i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3423 for (octave_idx_type i = nr; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3424 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3425 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3426 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3427 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3428 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3429 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3430 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3431 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3432 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3433 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3434 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3435 } |
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 Complex tmp = cwork[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3438 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3439 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
|
3440 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3441 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3442 cwork[iidx] = cwork[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3443 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3448 retval.xelem (i, j) = cwork[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3449 } |
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 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3452 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3453 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3454 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3455 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3456 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3457 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3458 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3459 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3460 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3461 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3462 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3463 { |
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 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3466 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3467 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3468 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3469 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3470 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3471 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3472 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3473 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3474 } |
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 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3478 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3479 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3480 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3481 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3482 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3483 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3484 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3485 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3486 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3487 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3488 } |
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 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3491 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3492 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3493 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3494 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3495 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3496 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3497 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3498 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3499 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3500 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3501 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3502 } |
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 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3505 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3506 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3507 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3508 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3509 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3510 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3511 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3512 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3513 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3514 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3515 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3516 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3517 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3518 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3519 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3520 } |
5164 | 3521 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3522 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3523 } |
3524 | |
3525 return retval; | |
3526 } | |
3527 | |
3528 SparseComplexMatrix | |
5785 | 3529 SparseMatrix::ltsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3530 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3531 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3532 bool calc_cond) const |
5164 | 3533 { |
3534 SparseComplexMatrix retval; | |
3535 | |
5275 | 3536 octave_idx_type nr = rows (); |
3537 octave_idx_type nc = cols (); | |
5630 | 3538 octave_idx_type nm = (nc > nr ? nc : nr); |
5164 | 3539 err = 0; |
3540 | |
6924 | 3541 if (nr != b.rows ()) |
5164 | 3542 (*current_liboctave_error_handler) |
3543 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 3544 else if (nr == 0 || nc == 0 || b.cols () == 0) |
3545 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 3546 else |
3547 { | |
3548 // Print spparms("spumoni") info if requested | |
3549 int typ = mattype.type (); | |
3550 mattype.info (); | |
3551 | |
5785 | 3552 if (typ == MatrixType::Permuted_Lower || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3553 typ == MatrixType::Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3554 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3555 double anorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3556 double ainvnorm = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3557 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3558 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3559 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3560 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3561 // Calculate the 1-norm of matrix for rcond calculation |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3562 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3563 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3564 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3565 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
|
3566 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3567 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3568 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3569 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3570 } |
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 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3573 octave_idx_type b_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3574 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3575 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3576 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3577 octave_idx_type x_nz = b_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3578 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3579 if (typ == MatrixType::Permuted_Lower) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3580 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3581 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3582 octave_idx_type *perm = mattype.triangular_perm (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3583 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3584 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
|
3585 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3586 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3587 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3588 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
|
3589 cwork[perm[b.ridx(i)]] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3590 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3591 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3592 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3593 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3594 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3595 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3596 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3597 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3598 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
|
3599 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3600 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3601 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3602 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3603 } |
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 if (minr != k || data(mini) == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3606 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3607 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3608 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3609 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3610 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3611 Complex tmp = cwork[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3612 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3613 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
|
3614 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3615 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3616 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3617 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3618 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3619 cwork[iidx] = cwork[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3620 } |
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 // 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
|
3625 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3626 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3627 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3628 if (cwork[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3629 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3630 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3631 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3632 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3633 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3634 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
|
3635 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3636 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3637 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3638 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3639 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3640 if (cwork[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3641 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3642 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3643 retval.xdata(ii++) = cwork[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3644 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3645 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3646 } |
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 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3649 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3650 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3651 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3652 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3653 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3654 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3655 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3656 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3657 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3658 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3659 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3660 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3661 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3662 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3663 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3664 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3665 octave_idx_type minr = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3666 octave_idx_type mini = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3667 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3668 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3669 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3670 if (perm[ridx(i)] < minr) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3671 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3672 minr = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3673 mini = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3674 } |
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 double tmp = work[k] / data(mini); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3677 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3678 for (octave_idx_type i = cidx(k); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3679 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3680 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3681 if (i == mini) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3682 continue; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3683 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3684 octave_idx_type iidx = perm[ridx(i)]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3685 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3686 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3687 } |
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 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3691 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3692 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3693 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3694 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3695 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3696 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3697 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3698 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3699 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3700 } |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3703 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3704 OCTAVE_LOCAL_BUFFER (Complex, cwork, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3705 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3706 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
|
3707 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3708 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3709 cwork[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3710 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
|
3711 cwork[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3712 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3713 for (octave_idx_type k = 0; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3714 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3715 if (cwork[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3716 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3717 if (ridx(cidx(k)) != k || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3718 data(cidx(k)) == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3719 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3720 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3721 goto triangular_error; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3722 } |
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 Complex tmp = cwork[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3725 cwork[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3726 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
|
3727 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3728 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3729 cwork[iidx] = cwork[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3730 } |
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 // 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
|
3735 // retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3736 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3737 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3738 if (cwork[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3739 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3740 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3741 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3742 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3743 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3744 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
|
3745 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3746 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3747 } |
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 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3750 if (cwork[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3751 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3752 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3753 retval.xdata(ii++) = cwork[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3754 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3755 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3756 } |
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 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3759 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3760 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3761 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3762 // Calculation of 1-norm of inv(*this) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3763 OCTAVE_LOCAL_BUFFER (double, work, nm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3764 for (octave_idx_type i = 0; i < nm; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3765 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3766 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3767 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3768 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3769 work[j] = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3770 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3771 for (octave_idx_type k = j; k < nc; k++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3772 { |
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 if (work[k] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3775 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3776 double tmp = work[k] / data(cidx(k)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3777 work[k] = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3778 for (octave_idx_type i = cidx(k)+1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3779 i < cidx(k+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3780 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3781 octave_idx_type iidx = ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3782 work[iidx] = work[iidx] - tmp * data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3783 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3784 } |
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 double atmp = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3787 for (octave_idx_type i = j; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3788 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3789 atmp += fabs(work[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3790 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3791 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3792 if (atmp > ainvnorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3793 ainvnorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3794 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3795 rcond = 1. / ainvnorm / anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3796 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3797 } |
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 triangular_error: |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3800 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3801 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3802 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3803 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3804 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3805 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3806 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3807 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3808 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3809 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3810 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3811 } |
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 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3814 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3815 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3816 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3817 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3818 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3819 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3820 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3821 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3822 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3823 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3824 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3825 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3826 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3827 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3828 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3829 } |
5164 | 3830 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3831 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3832 } |
3833 | |
3834 return retval; | |
3835 } | |
3836 | |
3837 Matrix | |
5785 | 3838 SparseMatrix::trisolve (MatrixType &mattype, const Matrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3839 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3840 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3841 bool calc_cond) const |
5164 | 3842 { |
3843 Matrix retval; | |
3844 | |
5275 | 3845 octave_idx_type nr = rows (); |
3846 octave_idx_type nc = cols (); | |
5164 | 3847 err = 0; |
3848 | |
6924 | 3849 if (nr != nc || nr != b.rows ()) |
5164 | 3850 (*current_liboctave_error_handler) |
3851 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 3852 else if (nr == 0 || b.cols () == 0) |
3853 retval = Matrix (nc, b.cols (), 0.0); | |
5681 | 3854 else if (calc_cond) |
3855 (*current_liboctave_error_handler) | |
3856 ("calculation of condition number not implemented"); | |
5164 | 3857 else |
3858 { | |
3859 // Print spparms("spumoni") info if requested | |
3860 volatile int typ = mattype.type (); | |
3861 mattype.info (); | |
3862 | |
5785 | 3863 if (typ == MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3864 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3865 OCTAVE_LOCAL_BUFFER (double, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3866 OCTAVE_LOCAL_BUFFER (double, DL, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3867 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3868 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3869 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3870 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3871 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3872 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
|
3873 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3874 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3875 DL[j] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3876 ii += 2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3877 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3878 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3879 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3880 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3881 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3882 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3883 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
|
3884 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3885 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3886 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3887 } |
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 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3890 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
|
3891 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3892 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3893 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3894 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3895 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3896 } |
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 octave_idx_type b_nc = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3900 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3901 double *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3902 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3903 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
|
3904 b.rows(), err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3905 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3906 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3907 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3908 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3909 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3910 typ = MatrixType::Tridiagonal; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3911 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3912 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3913 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3914 } |
5164 | 3915 |
5785 | 3916 if (typ == MatrixType::Tridiagonal) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3917 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3918 OCTAVE_LOCAL_BUFFER (double, DU, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3919 OCTAVE_LOCAL_BUFFER (double, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3920 OCTAVE_LOCAL_BUFFER (double, DL, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3921 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3922 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3923 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3924 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3925 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3926 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
|
3927 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3928 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3929 DL[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3930 DU[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3931 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3932 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3933 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3934 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3935 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3936 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3937 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
|
3938 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3939 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3940 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3941 DU[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3942 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3943 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3944 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3945 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
|
3946 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3947 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3948 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3949 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3950 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3951 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3952 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3953 } |
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 octave_idx_type b_nc = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3957 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3958 double *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3959 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3960 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
|
3961 b.rows(), err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3962 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3963 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3964 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3965 rcond = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3966 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3967 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3968 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3969 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3970 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3971 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3972 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3973 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3974 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3975 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3976 |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3979 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3980 } |
5785 | 3981 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3982 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 3983 } |
3984 | |
3985 return retval; | |
3986 } | |
3987 | |
3988 SparseMatrix | |
5785 | 3989 SparseMatrix::trisolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3990 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3991 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3992 bool calc_cond) const |
5164 | 3993 { |
3994 SparseMatrix retval; | |
3995 | |
5275 | 3996 octave_idx_type nr = rows (); |
3997 octave_idx_type nc = cols (); | |
5164 | 3998 err = 0; |
3999 | |
6924 | 4000 if (nr != nc || nr != b.rows ()) |
5164 | 4001 (*current_liboctave_error_handler) |
4002 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4003 else if (nr == 0 || b.cols () == 0) |
4004 retval = SparseMatrix (nc, b.cols ()); | |
5681 | 4005 else if (calc_cond) |
4006 (*current_liboctave_error_handler) | |
4007 ("calculation of condition number not implemented"); | |
5164 | 4008 else |
4009 { | |
4010 // Print spparms("spumoni") info if requested | |
4011 int typ = mattype.type (); | |
4012 mattype.info (); | |
4013 | |
4014 // Note can't treat symmetric case as there is no dpttrf function | |
5785 | 4015 if (typ == MatrixType::Tridiagonal || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4016 typ == MatrixType::Tridiagonal_Hermitian) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4017 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4018 OCTAVE_LOCAL_BUFFER (double, DU2, nr - 2); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4019 OCTAVE_LOCAL_BUFFER (double, DU, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4020 OCTAVE_LOCAL_BUFFER (double, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4021 OCTAVE_LOCAL_BUFFER (double, DL, nr - 1); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4022 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4023 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4024 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4025 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4026 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4027 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4028 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4029 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
|
4030 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4031 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4032 DL[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4033 DU[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4034 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4035 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4036 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4037 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4038 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4039 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4040 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
|
4041 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4042 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4043 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4044 DU[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4045 } |
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 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4048 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
|
4049 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4050 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4051 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4052 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4053 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4054 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4055 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4056 } |
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 F77_XFCN (dgttrf, DGTTRF, (nr, DL, D, DU, DU2, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4060 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4061 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4062 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4063 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4064 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4065 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4066 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4067 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4068 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4069 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4070 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4071 else |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4072 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4073 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4074 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4075 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4076 else |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4077 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4078 rcond = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4079 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4080 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4081 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4082 retval = SparseMatrix (nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4083 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4084 volatile octave_idx_type ii = 0; |
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|
4085 |
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|
4086 OCTAVE_LOCAL_BUFFER (double, work, nr); |
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|
4087 |
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|
4088 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
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|
4089 { |
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|
4090 for (octave_idx_type i = 0; i < nr; i++) |
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|
4091 work[i] = 0.; |
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|
4092 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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|
4093 work[b.ridx(i)] = b.data(i); |
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|
4094 |
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|
4095 F77_XFCN (dgttrs, DGTTRS, |
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|
4096 (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
4097 nr, 1, DL, D, DU, DU2, pipvt, |
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|
4098 work, b.rows (), err |
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|
4099 F77_CHAR_ARG_LEN (1))); |
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|
4100 |
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|
4101 // Count non-zeros in work vector and adjust |
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|
4102 // space in retval if needed |
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|
4103 octave_idx_type new_nnz = 0; |
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4104 for (octave_idx_type i = 0; i < nr; i++) |
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|
4105 if (work[i] != 0.) |
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|
4106 new_nnz++; |
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|
4107 |
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4108 if (ii + new_nnz > x_nz) |
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|
4109 { |
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|
4110 // Resize the sparse matrix |
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|
4111 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
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|
4112 retval.change_capacity (sz); |
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|
4113 x_nz = sz; |
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|
4114 } |
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|
4115 |
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|
4116 for (octave_idx_type i = 0; i < nr; i++) |
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|
4117 if (work[i] != 0.) |
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diff
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|
4118 { |
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|
4119 retval.xridx(ii) = i; |
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|
4120 retval.xdata(ii++) = work[i]; |
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|
4121 } |
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|
4122 retval.xcidx(j+1) = ii; |
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|
4123 } |
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|
4124 |
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4125 retval.maybe_compress (); |
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|
4126 } |
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4127 } |
5785 | 4128 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
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|
4129 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4130 } |
4131 | |
4132 return retval; | |
4133 } | |
4134 | |
4135 ComplexMatrix | |
5785 | 4136 SparseMatrix::trisolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
07ebe522dac2
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|
4137 octave_idx_type& err, double& rcond, |
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|
4138 solve_singularity_handler sing_handler, |
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|
4139 bool calc_cond) const |
5164 | 4140 { |
4141 ComplexMatrix retval; | |
4142 | |
5275 | 4143 octave_idx_type nr = rows (); |
4144 octave_idx_type nc = cols (); | |
5164 | 4145 err = 0; |
4146 | |
6924 | 4147 if (nr != nc || nr != b.rows ()) |
5164 | 4148 (*current_liboctave_error_handler) |
4149 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4150 else if (nr == 0 || b.cols () == 0) |
4151 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5681 | 4152 else if (calc_cond) |
4153 (*current_liboctave_error_handler) | |
4154 ("calculation of condition number not implemented"); | |
5164 | 4155 else |
4156 { | |
4157 // Print spparms("spumoni") info if requested | |
4158 volatile int typ = mattype.type (); | |
4159 mattype.info (); | |
4160 | |
5785 | 4161 if (typ == MatrixType::Tridiagonal_Hermitian) |
10314
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|
4162 { |
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|
4163 OCTAVE_LOCAL_BUFFER (double, D, nr); |
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|
4164 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
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|
4165 |
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|
4166 if (mattype.is_dense ()) |
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|
4167 { |
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|
4168 octave_idx_type ii = 0; |
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|
4169 |
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|
4170 for (octave_idx_type j = 0; j < nc-1; j++) |
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|
4171 { |
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|
4172 D[j] = data(ii++); |
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|
4173 DL[j] = data(ii); |
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diff
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|
4174 ii += 2; |
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|
4175 } |
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|
4176 D[nc-1] = data(ii); |
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|
4177 } |
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|
4178 else |
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|
4179 { |
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|
4180 D[0] = 0.; |
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|
4181 for (octave_idx_type i = 0; i < nr - 1; i++) |
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|
4182 { |
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diff
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|
4183 D[i+1] = 0.; |
07ebe522dac2
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|
4184 DL[i] = 0.; |
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|
4185 } |
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changeset
|
4186 |
07ebe522dac2
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|
4187 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
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|
4188 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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|
4189 { |
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diff
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|
4190 if (ridx(i) == j) |
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|
4191 D[j] = data(i); |
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|
4192 else if (ridx(i) == j + 1) |
07ebe522dac2
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|
4193 DL[j] = data(i); |
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|
4194 } |
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diff
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|
4195 } |
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|
4196 |
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|
4197 octave_idx_type b_nr = b.rows (); |
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|
4198 octave_idx_type b_nc = b.cols(); |
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|
4199 rcond = 1.; |
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|
4200 |
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diff
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|
4201 retval = b; |
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|
4202 Complex *result = retval.fortran_vec (); |
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|
4203 |
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|
4204 F77_XFCN (zptsv, ZPTSV, (nr, b_nc, D, DL, result, |
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|
4205 b_nr, err)); |
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|
4206 |
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|
4207 if (err != 0) |
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|
4208 { |
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diff
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|
4209 err = 0; |
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|
4210 mattype.mark_as_unsymmetric (); |
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|
4211 typ = MatrixType::Tridiagonal; |
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|
4212 } |
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|
4213 } |
5164 | 4214 |
5785 | 4215 if (typ == MatrixType::Tridiagonal) |
10314
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|
4216 { |
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|
4217 OCTAVE_LOCAL_BUFFER (Complex, DU, nr - 1); |
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|
4218 OCTAVE_LOCAL_BUFFER (Complex, D, nr); |
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|
4219 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
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|
4220 |
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|
4221 if (mattype.is_dense ()) |
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|
4222 { |
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changeset
|
4223 octave_idx_type ii = 0; |
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|
4224 |
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4225 for (octave_idx_type j = 0; j < nc-1; j++) |
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|
4226 { |
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|
4227 D[j] = data(ii++); |
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4228 DL[j] = data(ii++); |
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|
4229 DU[j] = data(ii++); |
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|
4230 } |
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changeset
|
4231 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4232 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4233 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4234 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4235 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4236 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
|
4237 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4238 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4239 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4240 DU[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4241 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4242 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4243 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4244 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
|
4245 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4246 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4247 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4248 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4249 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4250 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4251 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4252 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4253 } |
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 octave_idx_type b_nr = b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4256 octave_idx_type b_nc = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4257 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4258 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4259 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4260 Complex *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4261 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4262 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
|
4263 b_nr, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4264 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4265 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4266 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4267 rcond = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4268 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4269 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4270 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4271 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4272 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4273 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4274 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4275 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4276 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4277 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4278 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4279 } |
5785 | 4280 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4281 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4282 } |
4283 | |
4284 return retval; | |
4285 } | |
4286 | |
4287 SparseComplexMatrix | |
5785 | 4288 SparseMatrix::trisolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4289 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4290 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4291 bool calc_cond) const |
5164 | 4292 { |
4293 SparseComplexMatrix retval; | |
4294 | |
5275 | 4295 octave_idx_type nr = rows (); |
4296 octave_idx_type nc = cols (); | |
5164 | 4297 err = 0; |
4298 | |
6924 | 4299 if (nr != nc || nr != b.rows ()) |
5164 | 4300 (*current_liboctave_error_handler) |
4301 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4302 else if (nr == 0 || b.cols () == 0) |
4303 retval = SparseComplexMatrix (nc, b.cols ()); | |
5681 | 4304 else if (calc_cond) |
4305 (*current_liboctave_error_handler) | |
4306 ("calculation of condition number not implemented"); | |
5164 | 4307 else |
4308 { | |
4309 // Print spparms("spumoni") info if requested | |
4310 int typ = mattype.type (); | |
4311 mattype.info (); | |
4312 | |
4313 // Note can't treat symmetric case as there is no dpttrf function | |
5785 | 4314 if (typ == MatrixType::Tridiagonal || |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4315 typ == MatrixType::Tridiagonal_Hermitian) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4316 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4317 OCTAVE_LOCAL_BUFFER (double, DU2, nr - 2); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4318 OCTAVE_LOCAL_BUFFER (double, DU, nr - 1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4319 OCTAVE_LOCAL_BUFFER (double, D, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4320 OCTAVE_LOCAL_BUFFER (double, DL, nr - 1); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4321 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4322 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4323 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4324 if (mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4325 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4326 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4327 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4328 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
|
4329 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4330 D[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4331 DL[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4332 DU[j] = data(ii++); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4333 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4334 D[nc-1] = data(ii); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4335 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4336 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4337 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4338 D[0] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4339 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
|
4340 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4341 D[i+1] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4342 DL[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4343 DU[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4344 } |
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 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4347 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
|
4348 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4349 if (ridx(i) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4350 D[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4351 else if (ridx(i) == j + 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4352 DL[j] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4353 else if (ridx(i) == j - 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4354 DU[j-1] = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4355 } |
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 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
|
4359 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4360 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4361 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4362 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4363 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4364 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4365 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4366 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4367 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4368 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4369 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4370 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4371 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4372 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4373 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4374 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4375 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4376 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4377 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4378 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4379 octave_idx_type b_nc = b.cols (); |
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|
4380 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
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diff
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|
4381 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
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|
4382 |
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|
4383 // Take a first guess that the number of non-zero terms |
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untabify liboctave C++ sources
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|
4384 // will be as many as in b |
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|
4385 volatile octave_idx_type x_nz = b.nnz (); |
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|
4386 volatile octave_idx_type ii = 0; |
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|
4387 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
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|
4388 |
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|
4389 retval.xcidx(0) = 0; |
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|
4390 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
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diff
changeset
|
4391 { |
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changeset
|
4392 |
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changeset
|
4393 for (octave_idx_type i = 0; i < b_nr; i++) |
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untabify liboctave C++ sources
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diff
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|
4394 { |
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diff
changeset
|
4395 Complex c = b (i,j); |
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|
4396 Bx[i] = std::real (c); |
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untabify liboctave C++ sources
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diff
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|
4397 Bz[i] = std::imag (c); |
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diff
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|
4398 } |
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diff
changeset
|
4399 |
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|
4400 F77_XFCN (dgttrs, DGTTRS, |
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|
4401 (F77_CONST_CHAR_ARG2 (&job, 1), |
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diff
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|
4402 nr, 1, DL, D, DU, DU2, pipvt, |
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|
4403 Bx, b_nr, err |
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diff
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|
4404 F77_CHAR_ARG_LEN (1))); |
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|
4405 |
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|
4406 if (err != 0) |
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diff
changeset
|
4407 { |
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|
4408 (*current_liboctave_error_handler) |
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|
4409 ("SparseMatrix::solve solve failed"); |
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|
4410 |
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|
4411 err = -1; |
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diff
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|
4412 break; |
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|
4413 } |
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|
4414 |
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|
4415 F77_XFCN (dgttrs, DGTTRS, |
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|
4416 (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
4417 nr, 1, DL, D, DU, DU2, pipvt, |
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|
4418 Bz, b_nr, err |
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|
4419 F77_CHAR_ARG_LEN (1))); |
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|
4420 |
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|
4421 if (err != 0) |
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|
4422 { |
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|
4423 (*current_liboctave_error_handler) |
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|
4424 ("SparseMatrix::solve solve failed"); |
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|
4425 |
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|
4426 err = -1; |
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|
4427 break; |
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|
4428 } |
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|
4429 |
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|
4430 // Count non-zeros in work vector and adjust |
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|
4431 // space in retval if needed |
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|
4432 octave_idx_type new_nnz = 0; |
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|
4433 for (octave_idx_type i = 0; i < nr; i++) |
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|
4434 if (Bx[i] != 0. || Bz[i] != 0.) |
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|
4435 new_nnz++; |
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|
4436 |
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|
4437 if (ii + new_nnz > x_nz) |
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|
4438 { |
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changeset
|
4439 // Resize the sparse matrix |
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|
4440 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
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|
4441 retval.change_capacity (sz); |
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|
4442 x_nz = sz; |
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|
4443 } |
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changeset
|
4444 |
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changeset
|
4445 for (octave_idx_type i = 0; i < nr; i++) |
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|
4446 if (Bx[i] != 0. || Bz[i] != 0.) |
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|
4447 { |
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changeset
|
4448 retval.xridx(ii) = i; |
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|
4449 retval.xdata(ii++) = |
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changeset
|
4450 Complex (Bx[i], Bz[i]); |
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|
4451 } |
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|
4452 |
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changeset
|
4453 retval.xcidx(j+1) = ii; |
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|
4454 } |
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changeset
|
4455 |
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|
4456 retval.maybe_compress (); |
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|
4457 } |
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|
4458 } |
5785 | 4459 else if (typ != MatrixType::Tridiagonal_Hermitian) |
10314
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|
4460 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4461 } |
4462 | |
4463 return retval; | |
4464 } | |
4465 | |
4466 Matrix | |
5785 | 4467 SparseMatrix::bsolve (MatrixType &mattype, const Matrix& b, |
10314
07ebe522dac2
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|
4468 octave_idx_type& err, double& rcond, |
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changeset
|
4469 solve_singularity_handler sing_handler, |
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|
4470 bool calc_cond) const |
5164 | 4471 { |
4472 Matrix retval; | |
4473 | |
5275 | 4474 octave_idx_type nr = rows (); |
4475 octave_idx_type nc = cols (); | |
5164 | 4476 err = 0; |
4477 | |
6924 | 4478 if (nr != nc || nr != b.rows ()) |
5164 | 4479 (*current_liboctave_error_handler) |
4480 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4481 else if (nr == 0 || b.cols () == 0) |
4482 retval = Matrix (nc, b.cols (), 0.0); | |
5164 | 4483 else |
4484 { | |
4485 // Print spparms("spumoni") info if requested | |
4486 volatile int typ = mattype.type (); | |
4487 mattype.info (); | |
4488 | |
5785 | 4489 if (typ == MatrixType::Banded_Hermitian) |
10314
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|
4490 { |
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|
4491 octave_idx_type n_lower = mattype.nlower (); |
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|
4492 octave_idx_type ldm = n_lower + 1; |
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|
4493 Matrix m_band (ldm, nc); |
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|
4494 double *tmp_data = m_band.fortran_vec (); |
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|
4495 |
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|
4496 if (! mattype.is_dense ()) |
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changeset
|
4497 { |
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changeset
|
4498 octave_idx_type ii = 0; |
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|
4499 |
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|
4500 for (octave_idx_type j = 0; j < ldm; j++) |
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|
4501 for (octave_idx_type i = 0; i < nc; i++) |
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|
4502 tmp_data[ii++] = 0.; |
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|
4503 } |
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|
4504 |
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|
4505 for (octave_idx_type j = 0; j < nc; j++) |
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|
4506 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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|
4507 { |
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|
4508 octave_idx_type ri = ridx (i); |
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|
4509 if (ri >= j) |
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|
4510 m_band(ri - j, j) = data(i); |
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|
4511 } |
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|
4512 |
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|
4513 // Calculate the norm of the matrix, for later use. |
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|
4514 double anorm; |
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|
4515 if (calc_cond) |
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|
4516 anorm = m_band.abs().sum().row(0).max(); |
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|
4517 |
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|
4518 char job = 'L'; |
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|
4519 F77_XFCN (dpbtrf, DPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
4520 nr, n_lower, tmp_data, ldm, err |
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10158
diff
changeset
|
4521 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4522 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4523 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4524 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4525 // Matrix is not positive definite!! Fall through to |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4526 // unsymmetric banded solver. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4527 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4528 typ = MatrixType::Banded; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4529 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4530 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4531 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4532 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4533 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4534 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4535 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4536 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4537 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4538 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4539 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4540 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4541 F77_XFCN (dpbcon, DPBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4542 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4543 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4544 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4545 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4546 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4547 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4548 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4549 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4550 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4551 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4552 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4553 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4554 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4555 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4556 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4557 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4558 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4559 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4560 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4561 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4562 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4563 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4564 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4565 } |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4568 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4569 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4570 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4571 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4572 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4573 double *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4574 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4575 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4576 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4577 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4578 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4579 nr, n_lower, b_nc, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4580 ldm, result, b.rows(), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4581 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4582 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4583 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4584 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4585 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4586 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4587 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4588 } |
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 } |
5164 | 4592 |
5785 | 4593 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4594 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4595 // 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
|
4596 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4597 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4598 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
|
4599 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4600 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4601 double *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4602 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4603 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4604 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4605 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4606 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4607 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4608 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4609 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4610 } |
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 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4613 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
|
4614 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
|
4615 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4616 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4617 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4618 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4619 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4620 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4621 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4622 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4623 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
|
4624 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4625 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4626 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4627 } |
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 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4630 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4631 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4632 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4633 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
|
4634 ldm, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4635 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4636 // Throw-away extra info LAPACK gives so as to not |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4637 // change output. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4638 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4639 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4640 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4641 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4642 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4643 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4644 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4645 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4646 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4647 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4648 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4649 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4650 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4651 |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4654 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4655 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4656 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4657 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4658 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4659 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4660 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4661 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4662 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4663 F77_XFCN (dgbcon, DGBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4664 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4665 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4666 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4667 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4668 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4669 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4670 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4671 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4672 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4673 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4674 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4675 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4676 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4677 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4678 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4679 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4680 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4681 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4682 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4683 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4684 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4685 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4686 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4687 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4688 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4689 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4690 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4691 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4692 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4693 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4694 retval = b; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4695 double *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4696 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4697 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4698 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4699 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4700 F77_XFCN (dgbtrs, DGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4701 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4702 nr, n_lower, n_upper, b_nc, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4703 ldm, pipvt, result, b.rows(), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4704 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4705 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4706 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4707 } |
5785 | 4708 else if (typ != MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4709 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 4710 } |
4711 | |
4712 return retval; | |
4713 } | |
4714 | |
4715 SparseMatrix | |
5785 | 4716 SparseMatrix::bsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4717 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4718 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4719 bool calc_cond) const |
5164 | 4720 { |
4721 SparseMatrix retval; | |
4722 | |
5275 | 4723 octave_idx_type nr = rows (); |
4724 octave_idx_type nc = cols (); | |
5164 | 4725 err = 0; |
4726 | |
6924 | 4727 if (nr != nc || nr != b.rows ()) |
5164 | 4728 (*current_liboctave_error_handler) |
4729 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 4730 else if (nr == 0 || b.cols () == 0) |
4731 retval = SparseMatrix (nc, b.cols ()); | |
5164 | 4732 else |
4733 { | |
4734 // Print spparms("spumoni") info if requested | |
4735 volatile int typ = mattype.type (); | |
4736 mattype.info (); | |
4737 | |
5785 | 4738 if (typ == MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4739 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4740 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4741 octave_idx_type ldm = n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4742 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4743 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4744 double *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4745 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4746 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4747 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4748 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4749 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4750 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4751 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4752 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4753 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4754 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4755 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4756 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
|
4757 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4758 octave_idx_type ri = ridx (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4759 if (ri >= j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4760 m_band(ri - j, j) = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4761 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4762 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4763 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4764 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4765 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4766 anorm = m_band.abs().sum().row(0).max(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4767 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4768 char job = 'L'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4769 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
|
4770 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
|
4771 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4772 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4773 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4774 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4775 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4776 typ = MatrixType::Banded; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4777 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4778 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4779 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4780 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4781 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4782 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4783 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4784 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4785 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4786 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
|
4787 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4788 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4789 F77_XFCN (dpbcon, DPBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4790 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4791 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4792 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4793 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4794 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4795 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4796 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4797 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4798 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4799 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4800 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4801 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4802 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4803 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4804 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4805 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4806 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4807 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4808 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4809 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4810 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4811 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4812 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4813 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4814 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4815 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4816 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4817 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4818 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4819 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4820 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4821 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4822 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4823 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4824 // 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
|
4825 // will be as many as in b |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4826 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4827 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4828 retval = SparseMatrix (b_nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4829 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4830 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4831 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
|
4832 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4833 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
|
4834 Bx[i] = b.elem (i, j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4835 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4836 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4837 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4838 nr, n_lower, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4839 ldm, Bx, b_nr, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4840 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4841 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4842 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4843 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4844 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4845 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4846 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4847 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4848 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4849 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4850 for (octave_idx_type i = 0; i < b_nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4851 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4852 double tmp = Bx[i]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4853 if (tmp != 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4854 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4855 if (ii == x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4856 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4857 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4858 octave_idx_type sz = x_nz * |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4859 (b_nc - j) / b_nc; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4860 sz = (sz > 10 ? sz : 10) + x_nz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4861 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4862 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4863 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4864 retval.xdata(ii) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4865 retval.xridx(ii++) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4866 } |
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 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4869 } |
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 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4872 } |
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 } |
5164 | 4875 |
5785 | 4876 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4877 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4878 // 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
|
4879 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4880 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4881 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
|
4882 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4883 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4884 double *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4885 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4886 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4887 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4888 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4889 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4890 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4891 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4892 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4893 } |
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 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4896 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
|
4897 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
|
4898 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4899 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4900 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4901 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4902 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4903 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4904 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4905 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4906 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4907 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4908 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
4909 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4910 } |
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 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4913 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4914 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4915 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4916 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
|
4917 ldm, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4918 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4919 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4920 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4921 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4922 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4923 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4924 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4925 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4926 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4927 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4928 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4929 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4930 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4931 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4932 |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4935 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4936 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4937 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4938 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4939 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4940 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
4941 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4942 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4943 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
4944 F77_XFCN (dgbcon, DGBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4945 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4946 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
4947 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4948 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4949 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4950 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4951 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4952 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4953 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4954 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4955 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4956 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4957 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4958 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4959 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4960 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4961 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4962 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4963 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4964 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4965 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4966 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4967 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4968 } |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4971 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4972 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4973 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4974 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4975 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4976 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4977 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4978 retval = SparseMatrix (nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4979 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4980 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4981 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4982 OCTAVE_LOCAL_BUFFER (double, work, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4983 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4984 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
|
4985 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4986 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4987 work[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4988 for (octave_idx_type i = b.cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4989 i < b.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4990 work[b.ridx(i)] = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4991 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4992 F77_XFCN (dgbtrs, DGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4993 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4994 nr, n_lower, n_upper, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4995 ldm, pipvt, work, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4996 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4997 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4998 // Count non-zeros in work vector and adjust |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4999 // space in retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5000 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5001 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5002 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5003 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5004 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5005 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5006 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5007 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5008 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
|
5009 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5010 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5011 } |
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 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5014 if (work[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5015 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5016 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5017 retval.xdata(ii++) = work[i]; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5018 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5019 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5020 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5021 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5022 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5023 } |
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>
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10158
diff
changeset
|
5025 } |
5785 | 5026 else if (typ != MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5027 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 5028 } |
5029 | |
5030 return retval; | |
5031 } | |
5032 | |
5033 ComplexMatrix | |
5785 | 5034 SparseMatrix::bsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5035 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5036 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5037 bool calc_cond) const |
5164 | 5038 { |
5039 ComplexMatrix retval; | |
5040 | |
5275 | 5041 octave_idx_type nr = rows (); |
5042 octave_idx_type nc = cols (); | |
5164 | 5043 err = 0; |
5044 | |
6924 | 5045 if (nr != nc || nr != b.rows ()) |
5164 | 5046 (*current_liboctave_error_handler) |
5047 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 5048 else if (nr == 0 || b.cols () == 0) |
5049 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 5050 else |
5051 { | |
5052 // Print spparms("spumoni") info if requested | |
5053 volatile int typ = mattype.type (); | |
5054 mattype.info (); | |
5055 | |
5785 | 5056 if (typ == MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5057 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5058 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5059 octave_idx_type ldm = n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5060 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5061 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5062 double *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5063 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5064 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5065 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5066 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5067 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5068 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5069 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5070 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5071 } |
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 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5074 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
|
5075 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5076 octave_idx_type ri = ridx (i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5077 if (ri >= j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5078 m_band(ri - j, j) = data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5079 } |
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 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5082 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5083 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5084 anorm = m_band.abs().sum().row(0).max(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5085 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5086 char job = 'L'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5087 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
|
5088 nr, n_lower, tmp_data, ldm, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5089 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5090 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5091 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5092 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5093 // Matrix is not positive definite!! Fall through to |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5094 // unsymmetric banded solver. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5095 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5096 typ = MatrixType::Banded; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5097 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5098 err = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5099 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5100 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5101 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5102 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5103 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5104 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5105 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5106 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5107 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5108 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5109 F77_XFCN (dpbcon, DPBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5110 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5111 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5112 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5113 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5114 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5115 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5116 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5117 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5118 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5119 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5120 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5121 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5122 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5123 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5124 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5125 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5126 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5127 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5128 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5129 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5130 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5131 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5132 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5133 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5134 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5135 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5136 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5137 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5138 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5139 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5140 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5141 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5142 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5143 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5144 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5145 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5146 retval.resize (b_nr, b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5147 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5148 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
|
5149 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5150 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
|
5151 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5152 Complex c = b (i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5153 Bx[i] = std::real (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5154 Bz[i] = std::imag (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5155 } |
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 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5158 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5159 nr, n_lower, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5160 ldm, Bx, b_nr, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5161 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5162 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5163 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5164 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5165 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5166 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5167 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5168 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5169 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5170 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5171 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5172 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5173 nr, n_lower, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5174 ldm, Bz, b.rows(), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5175 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5176 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5177 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5178 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5179 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5180 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5181 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5182 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5183 } |
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 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
|
5186 retval (i, j) = Complex (Bx[i], Bz[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5187 } |
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 } |
5164 | 5191 |
5785 | 5192 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5193 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5194 // 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
|
5195 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5196 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5197 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
|
5198 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5199 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5200 double *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5201 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5202 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5203 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5204 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5205 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5206 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5207 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5208 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5209 } |
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 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5212 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
|
5213 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
|
5214 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5215 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5216 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5217 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5218 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5219 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5220 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5221 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5222 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
|
5223 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5224 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5225 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5226 } |
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 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5229 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5230 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5231 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5232 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
|
5233 ldm, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5234 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5235 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5236 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5237 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5238 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5239 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5240 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5241 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5242 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5243 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5244 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5245 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5246 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5247 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5248 |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5251 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5252 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5253 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5254 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5255 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5256 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5257 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5258 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5259 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5260 F77_XFCN (dpbcon, DPBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5261 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5262 nr, n_lower, tmp_data, ldm, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5263 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5264 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5265 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5266 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5267 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5268 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5269 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5270 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5271 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5272 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5273 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5274 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5275 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5276 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5277 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5278 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5279 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5280 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5281 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5282 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5283 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5284 } |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5287 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5288 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5289 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5290 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5291 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5292 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5293 retval.resize (nr,b_nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5294 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5295 OCTAVE_LOCAL_BUFFER (double, Bz, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5296 OCTAVE_LOCAL_BUFFER (double, Bx, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5297 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5298 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
|
5299 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5300 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5301 { |
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
5302 Complex c = b (i, j); |
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untabify liboctave C++ sources
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diff
changeset
|
5303 Bx[i] = std::real (c); |
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untabify liboctave C++ sources
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diff
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|
5304 Bz[i] = std::imag (c); |
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diff
changeset
|
5305 } |
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diff
changeset
|
5306 |
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diff
changeset
|
5307 F77_XFCN (dgbtrs, DGBTRS, |
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untabify liboctave C++ sources
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diff
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|
5308 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5309 nr, n_lower, n_upper, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5310 ldm, pipvt, Bx, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5311 F77_CHAR_ARG_LEN (1))); |
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untabify liboctave C++ sources
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diff
changeset
|
5312 |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
5313 F77_XFCN (dgbtrs, DGBTRS, |
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untabify liboctave C++ sources
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diff
changeset
|
5314 (F77_CONST_CHAR_ARG2 (&job, 1), |
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diff
changeset
|
5315 nr, n_lower, n_upper, 1, tmp_data, |
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untabify liboctave C++ sources
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changeset
|
5316 ldm, pipvt, Bz, b.rows (), err |
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untabify liboctave C++ sources
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diff
changeset
|
5317 F77_CHAR_ARG_LEN (1))); |
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untabify liboctave C++ sources
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diff
changeset
|
5318 |
07ebe522dac2
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diff
changeset
|
5319 for (octave_idx_type i = 0; i < nr; i++) |
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untabify liboctave C++ sources
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diff
changeset
|
5320 retval (i, j) = Complex (Bx[i], Bz[i]); |
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untabify liboctave C++ sources
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diff
changeset
|
5321 } |
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diff
changeset
|
5322 } |
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diff
changeset
|
5323 } |
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diff
changeset
|
5324 } |
5785 | 5325 else if (typ != MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
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diff
changeset
|
5326 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 5327 } |
5328 | |
5329 return retval; | |
5330 } | |
5331 | |
5332 SparseComplexMatrix | |
5785 | 5333 SparseMatrix::bsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
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|
5334 octave_idx_type& err, double& rcond, |
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untabify liboctave C++ sources
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diff
changeset
|
5335 solve_singularity_handler sing_handler, |
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diff
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|
5336 bool calc_cond) const |
5164 | 5337 { |
5338 SparseComplexMatrix retval; | |
5339 | |
5275 | 5340 octave_idx_type nr = rows (); |
5341 octave_idx_type nc = cols (); | |
5164 | 5342 err = 0; |
5343 | |
6924 | 5344 if (nr != nc || nr != b.rows ()) |
5164 | 5345 (*current_liboctave_error_handler) |
5346 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 5347 else if (nr == 0 || b.cols () == 0) |
5348 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 5349 else |
5350 { | |
5351 // Print spparms("spumoni") info if requested | |
5352 volatile int typ = mattype.type (); | |
5353 mattype.info (); | |
5354 | |
5785 | 5355 if (typ == MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5356 { |
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diff
changeset
|
5357 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5358 octave_idx_type ldm = n_lower + 1; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5359 |
07ebe522dac2
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diff
changeset
|
5360 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5361 double *tmp_data = m_band.fortran_vec (); |
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untabify liboctave C++ sources
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diff
changeset
|
5362 |
07ebe522dac2
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diff
changeset
|
5363 if (! mattype.is_dense ()) |
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untabify liboctave C++ sources
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10158
diff
changeset
|
5364 { |
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diff
changeset
|
5365 octave_idx_type ii = 0; |
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untabify liboctave C++ sources
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diff
changeset
|
5366 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5367 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5368 for (octave_idx_type i = 0; i < nc; i++) |
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untabify liboctave C++ sources
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diff
changeset
|
5369 tmp_data[ii++] = 0.; |
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diff
changeset
|
5370 } |
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changeset
|
5371 |
07ebe522dac2
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diff
changeset
|
5372 for (octave_idx_type j = 0; j < nc; j++) |
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untabify liboctave C++ sources
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changeset
|
5373 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5374 { |
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changeset
|
5375 octave_idx_type ri = ridx (i); |
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untabify liboctave C++ sources
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diff
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|
5376 if (ri >= j) |
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untabify liboctave C++ sources
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diff
changeset
|
5377 m_band(ri - j, j) = data(i); |
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untabify liboctave C++ sources
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diff
changeset
|
5378 } |
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diff
changeset
|
5379 |
07ebe522dac2
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diff
changeset
|
5380 // Calculate the norm of the matrix, for later use. |
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diff
changeset
|
5381 double anorm; |
07ebe522dac2
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diff
changeset
|
5382 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5383 anorm = m_band.abs().sum().row(0).max(); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5384 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5385 char job = 'L'; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5386 F77_XFCN (dpbtrf, DPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5387 nr, n_lower, tmp_data, ldm, err |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5388 F77_CHAR_ARG_LEN (1))); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
5389 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5390 if (err != 0) |
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untabify liboctave C++ sources
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10158
diff
changeset
|
5391 { |
07ebe522dac2
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diff
changeset
|
5392 // Matrix is not positive definite!! Fall through to |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5393 // unsymmetric banded solver. |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
5394 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5395 typ = MatrixType::Banded; |
07ebe522dac2
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diff
changeset
|
5396 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5397 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5398 err = 0; |
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diff
changeset
|
5399 } |
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10158
diff
changeset
|
5400 else |
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untabify liboctave C++ sources
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10158
diff
changeset
|
5401 { |
07ebe522dac2
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diff
changeset
|
5402 if (calc_cond) |
07ebe522dac2
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diff
changeset
|
5403 { |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5404 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5405 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5406 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5407 octave_idx_type *piz = iz.fortran_vec (); |
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untabify liboctave C++ sources
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diff
changeset
|
5408 |
07ebe522dac2
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diff
changeset
|
5409 F77_XFCN (dpbcon, DPBCON, |
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untabify liboctave C++ sources
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changeset
|
5410 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
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changeset
|
5411 nr, n_lower, tmp_data, ldm, |
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untabify liboctave C++ sources
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changeset
|
5412 anorm, rcond, pz, piz, err |
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untabify liboctave C++ sources
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changeset
|
5413 F77_CHAR_ARG_LEN (1))); |
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untabify liboctave C++ sources
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changeset
|
5414 |
07ebe522dac2
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diff
changeset
|
5415 if (err != 0) |
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diff
changeset
|
5416 err = -2; |
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changeset
|
5417 |
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changeset
|
5418 volatile double rcond_plus_one = rcond + 1.0; |
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changeset
|
5419 |
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changeset
|
5420 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
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changeset
|
5421 { |
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10158
diff
changeset
|
5422 err = -2; |
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changeset
|
5423 |
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changeset
|
5424 if (sing_handler) |
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changeset
|
5425 { |
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changeset
|
5426 sing_handler (rcond); |
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changeset
|
5427 mattype.mark_as_rectangular (); |
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changeset
|
5428 } |
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changeset
|
5429 else |
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changeset
|
5430 (*current_liboctave_error_handler) |
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changeset
|
5431 ("matrix singular to machine precision, rcond = %g", |
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changeset
|
5432 rcond); |
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changeset
|
5433 } |
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changeset
|
5434 } |
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changeset
|
5435 else |
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changeset
|
5436 rcond = 1.; |
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changeset
|
5437 |
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changeset
|
5438 if (err == 0) |
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changeset
|
5439 { |
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changeset
|
5440 octave_idx_type b_nr = b.rows (); |
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changeset
|
5441 octave_idx_type b_nc = b.cols (); |
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untabify liboctave C++ sources
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changeset
|
5442 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
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untabify liboctave C++ sources
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diff
changeset
|
5443 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
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untabify liboctave C++ sources
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changeset
|
5444 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5445 // 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
|
5446 // will be as many as in b |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5447 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5448 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5449 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5450 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5451 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5452 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
|
5453 { |
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 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
|
5456 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5457 Complex c = b (i,j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5458 Bx[i] = std::real (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5459 Bz[i] = std::imag (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5460 } |
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 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5463 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5464 nr, n_lower, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5465 ldm, Bx, b_nr, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5466 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5467 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5468 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5469 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5470 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5471 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5472 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5473 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5474 } |
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 F77_XFCN (dpbtrs, DPBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5477 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5478 nr, n_lower, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5479 ldm, Bz, b_nr, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5480 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5481 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5482 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5483 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5484 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5485 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5486 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5487 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5488 break; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5489 } |
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 // Count non-zeros in work vector and adjust |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5492 // space in retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5493 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5494 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5495 if (Bx[i] != 0. || Bz[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5496 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5497 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5498 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5499 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5500 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5501 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
|
5502 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5503 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5504 } |
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 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5507 if (Bx[i] != 0. || Bz[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5508 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5509 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5510 retval.xdata(ii++) = |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5511 Complex (Bx[i], Bz[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5512 } |
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 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5515 } |
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 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5518 } |
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 } |
5164 | 5521 |
5785 | 5522 if (typ == MatrixType::Banded) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5523 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5524 // 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
|
5525 octave_idx_type n_upper = mattype.nupper (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5526 octave_idx_type n_lower = mattype.nlower (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5527 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
|
5528 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5529 Matrix m_band (ldm, nc); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5530 double *tmp_data = m_band.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5531 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5532 if (! mattype.is_dense ()) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5533 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5534 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5535 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5536 for (octave_idx_type j = 0; j < ldm; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5537 for (octave_idx_type i = 0; i < nc; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5538 tmp_data[ii++] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5539 } |
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 for (octave_idx_type j = 0; j < nc; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5542 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
|
5543 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
|
5544 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5545 // Calculate the norm of the matrix, for later use. |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5546 double anorm; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5547 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5548 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5549 for (octave_idx_type j = 0; j < nr; j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5550 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5551 double atmp = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5552 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
|
5553 atmp += fabs(data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5554 if (atmp > anorm) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5555 anorm = atmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5556 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5557 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5558 |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5559 Array<octave_idx_type> ipvt (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5560 octave_idx_type *pipvt = ipvt.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5561 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5562 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
|
5563 ldm, pipvt, err)); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5564 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5565 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5566 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5567 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5568 rcond = 0.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5569 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5570 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5571 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5572 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5573 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5574 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5575 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5576 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5577 ("matrix singular to machine precision"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5578 |
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 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5581 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5582 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5583 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5584 char job = '1'; |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5585 Array<double> z (3 * nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5586 double *pz = z.fortran_vec (); |
10350
12884915a8e4
merge MArray classes & improve Array interface
Jaroslav Hajek <highegg@gmail.com>
parents:
10314
diff
changeset
|
5587 Array<octave_idx_type> iz (nr, 1); |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5588 octave_idx_type *piz = iz.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5589 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5590 F77_XFCN (dgbcon, DGBCON, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5591 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5592 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5593 anorm, rcond, pz, piz, err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5594 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5595 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5596 if (err != 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5597 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5598 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5599 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5600 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5601 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5602 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5603 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5604 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5605 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5606 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5607 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5608 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5609 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5610 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5611 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5612 ("matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5613 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5614 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5615 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5616 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5617 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5618 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5619 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5620 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5621 char job = 'N'; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5622 volatile octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5623 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5624 retval = SparseComplexMatrix (nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5625 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5626 volatile octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5627 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5628 OCTAVE_LOCAL_BUFFER (double, Bx, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5629 OCTAVE_LOCAL_BUFFER (double, Bz, nr); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5630 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5631 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
|
5632 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5633 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5634 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5635 Bx[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5636 Bz[i] = 0.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5637 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5638 for (octave_idx_type i = b.cidx(j); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5639 i < b.cidx(j+1); i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5640 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5641 Complex c = b.data(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5642 Bx[b.ridx(i)] = std::real (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5643 Bz[b.ridx(i)] = std::imag (c); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5644 } |
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 F77_XFCN (dgbtrs, DGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5647 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5648 nr, n_lower, n_upper, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5649 ldm, pipvt, Bx, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5650 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5651 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5652 F77_XFCN (dgbtrs, DGBTRS, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5653 (F77_CONST_CHAR_ARG2 (&job, 1), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5654 nr, n_lower, n_upper, 1, tmp_data, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5655 ldm, pipvt, Bz, b.rows (), err |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5656 F77_CHAR_ARG_LEN (1))); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5657 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5658 // Count non-zeros in work vector and adjust |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5659 // space in retval if needed |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5660 octave_idx_type new_nnz = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5661 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5662 if (Bx[i] != 0. || Bz[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5663 new_nnz++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5664 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5665 if (ii + new_nnz > x_nz) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5666 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5667 // Resize the sparse matrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5668 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
|
5669 retval.change_capacity (sz); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5670 x_nz = sz; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5671 } |
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 for (octave_idx_type i = 0; i < nr; i++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5674 if (Bx[i] != 0. || Bz[i] != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5675 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5676 retval.xridx(ii) = i; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5677 retval.xdata(ii++) = |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5678 Complex (Bx[i], Bz[i]); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5679 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5680 retval.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5681 } |
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 retval.maybe_compress (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5684 } |
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 } |
5785 | 5687 else if (typ != MatrixType::Banded_Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5688 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 5689 } |
5690 | |
5691 return retval; | |
5692 } | |
5693 | |
5694 void * | |
5681 | 5695 SparseMatrix::factorize (octave_idx_type& err, double &rcond, Matrix &Control, |
10314
07ebe522dac2
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changeset
|
5696 Matrix &Info, solve_singularity_handler sing_handler, |
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|
5697 bool calc_cond) const |
5164 | 5698 { |
5699 // The return values | |
5404 | 5700 void *Numeric = 0; |
5164 | 5701 err = 0; |
5702 | |
5203 | 5703 #ifdef HAVE_UMFPACK |
5164 | 5704 // Setup the control parameters |
5705 Control = Matrix (UMFPACK_CONTROL, 1); | |
5706 double *control = Control.fortran_vec (); | |
5322 | 5707 UMFPACK_DNAME (defaults) (control); |
5164 | 5708 |
5893 | 5709 double tmp = octave_sparse_params::get_key ("spumoni"); |
5164 | 5710 if (!xisnan (tmp)) |
5711 Control (UMFPACK_PRL) = tmp; | |
5893 | 5712 tmp = octave_sparse_params::get_key ("piv_tol"); |
5164 | 5713 if (!xisnan (tmp)) |
5714 { | |
5715 Control (UMFPACK_SYM_PIVOT_TOLERANCE) = tmp; | |
5716 Control (UMFPACK_PIVOT_TOLERANCE) = tmp; | |
5717 } | |
5718 | |
5719 // Set whether we are allowed to modify Q or not | |
5893 | 5720 tmp = octave_sparse_params::get_key ("autoamd"); |
5164 | 5721 if (!xisnan (tmp)) |
5722 Control (UMFPACK_FIXQ) = tmp; | |
5723 | |
5322 | 5724 UMFPACK_DNAME (report_control) (control); |
5164 | 5725 |
5275 | 5726 const octave_idx_type *Ap = cidx (); |
5727 const octave_idx_type *Ai = ridx (); | |
5164 | 5728 const double *Ax = data (); |
5275 | 5729 octave_idx_type nr = rows (); |
5730 octave_idx_type nc = cols (); | |
5164 | 5731 |
5322 | 5732 UMFPACK_DNAME (report_matrix) (nr, nc, Ap, Ai, Ax, 1, control); |
5164 | 5733 |
5734 void *Symbolic; | |
5735 Info = Matrix (1, UMFPACK_INFO); | |
5736 double *info = Info.fortran_vec (); | |
7520 | 5737 int status = UMFPACK_DNAME (qsymbolic) (nr, nc, Ap, Ai, Ax, 0, |
10314
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diff
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|
5738 &Symbolic, control, info); |
5164 | 5739 |
5740 if (status < 0) | |
5741 { | |
5742 (*current_liboctave_error_handler) | |
10314
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|
5743 ("SparseMatrix::solve symbolic factorization failed"); |
5164 | 5744 err = -1; |
5745 | |
5322 | 5746 UMFPACK_DNAME (report_status) (control, status); |
5747 UMFPACK_DNAME (report_info) (control, info); | |
5748 | |
5749 UMFPACK_DNAME (free_symbolic) (&Symbolic) ; | |
5164 | 5750 } |
5751 else | |
5752 { | |
5322 | 5753 UMFPACK_DNAME (report_symbolic) (Symbolic, control); |
5754 | |
5755 status = UMFPACK_DNAME (numeric) (Ap, Ai, Ax, Symbolic, | |
10314
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diff
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|
5756 &Numeric, control, info) ; |
5322 | 5757 UMFPACK_DNAME (free_symbolic) (&Symbolic) ; |
5164 | 5758 |
5681 | 5759 if (calc_cond) |
10314
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|
5760 rcond = Info (UMFPACK_RCOND); |
5681 | 5761 else |
10314
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|
5762 rcond = 1.; |
5164 | 5763 volatile double rcond_plus_one = rcond + 1.0; |
5764 | |
5765 if (status == UMFPACK_WARNING_singular_matrix || | |
10314
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|
5766 rcond_plus_one == 1.0 || xisnan (rcond)) |
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|
5767 { |
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|
5768 UMFPACK_DNAME (report_numeric) (Numeric, control); |
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|
5769 |
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|
5770 err = -2; |
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changeset
|
5771 |
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|
5772 if (sing_handler) |
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|
5773 sing_handler (rcond); |
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|
5774 else |
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|
5775 (*current_liboctave_error_handler) |
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|
5776 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
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|
5777 rcond); |
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changeset
|
5778 |
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|
5779 } |
5610 | 5780 else if (status < 0) |
10314
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|
5781 { |
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|
5782 (*current_liboctave_error_handler) |
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|
5783 ("SparseMatrix::solve numeric factorization failed"); |
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changeset
|
5784 |
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changeset
|
5785 UMFPACK_DNAME (report_status) (control, status); |
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untabify liboctave C++ sources
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diff
changeset
|
5786 UMFPACK_DNAME (report_info) (control, info); |
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|
5787 |
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diff
changeset
|
5788 err = -1; |
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untabify liboctave C++ sources
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diff
changeset
|
5789 } |
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diff
changeset
|
5790 else |
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changeset
|
5791 { |
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diff
changeset
|
5792 UMFPACK_DNAME (report_numeric) (Numeric, control); |
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diff
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|
5793 } |
5164 | 5794 } |
5795 | |
5796 if (err != 0) | |
5322 | 5797 UMFPACK_DNAME (free_numeric) (&Numeric); |
5164 | 5798 |
5203 | 5799 #else |
5800 (*current_liboctave_error_handler) ("UMFPACK not installed"); | |
5801 #endif | |
5802 | |
5164 | 5803 return Numeric; |
5804 } | |
5805 | |
5806 Matrix | |
5785 | 5807 SparseMatrix::fsolve (MatrixType &mattype, const Matrix& b, |
10314
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|
5808 octave_idx_type& err, double& rcond, |
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diff
changeset
|
5809 solve_singularity_handler sing_handler, |
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|
5810 bool calc_cond) const |
5164 | 5811 { |
5812 Matrix retval; | |
5813 | |
5275 | 5814 octave_idx_type nr = rows (); |
5815 octave_idx_type nc = cols (); | |
5164 | 5816 err = 0; |
5817 | |
6924 | 5818 if (nr != nc || nr != b.rows ()) |
5164 | 5819 (*current_liboctave_error_handler) |
5820 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 5821 else if (nr == 0 || b.cols () == 0) |
5822 retval = Matrix (nc, b.cols (), 0.0); | |
5164 | 5823 else |
5824 { | |
5825 // Print spparms("spumoni") info if requested | |
5506 | 5826 volatile int typ = mattype.type (); |
5164 | 5827 mattype.info (); |
5828 | |
5785 | 5829 if (typ == MatrixType::Hermitian) |
10314
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|
5830 { |
5506 | 5831 #ifdef HAVE_CHOLMOD |
10314
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|
5832 cholmod_common Common; |
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|
5833 cholmod_common *cm = &Common; |
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|
5834 |
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|
5835 // Setup initial parameters |
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|
5836 CHOLMOD_NAME(start) (cm); |
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|
5837 cm->prefer_zomplex = false; |
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|
5838 |
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|
5839 double spu = octave_sparse_params::get_key ("spumoni"); |
07ebe522dac2
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|
5840 if (spu == 0.) |
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diff
changeset
|
5841 { |
07ebe522dac2
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changeset
|
5842 cm->print = -1; |
07ebe522dac2
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changeset
|
5843 cm->print_function = 0; |
07ebe522dac2
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|
5844 } |
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changeset
|
5845 else |
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diff
changeset
|
5846 { |
07ebe522dac2
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diff
changeset
|
5847 cm->print = static_cast<int> (spu) + 2; |
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
5848 cm->print_function =&SparseCholPrint; |
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changeset
|
5849 } |
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changeset
|
5850 |
07ebe522dac2
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changeset
|
5851 cm->error_handler = &SparseCholError; |
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untabify liboctave C++ sources
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|
5852 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
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|
5853 cm->hypotenuse = CHOLMOD_NAME(hypot); |
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|
5854 |
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|
5855 cm->final_ll = true; |
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|
5856 |
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changeset
|
5857 cholmod_sparse Astore; |
07ebe522dac2
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|
5858 cholmod_sparse *A = &Astore; |
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|
5859 double dummy; |
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changeset
|
5860 A->nrow = nr; |
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changeset
|
5861 A->ncol = nc; |
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|
5862 |
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5863 A->p = cidx(); |
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5864 A->i = ridx(); |
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5865 A->nzmax = nnz(); |
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|
5866 A->packed = true; |
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5867 A->sorted = true; |
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|
5868 A->nz = 0; |
5506 | 5869 #ifdef IDX_TYPE_LONG |
10314
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|
5870 A->itype = CHOLMOD_LONG; |
5506 | 5871 #else |
10314
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|
5872 A->itype = CHOLMOD_INT; |
5506 | 5873 #endif |
10314
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|
5874 A->dtype = CHOLMOD_DOUBLE; |
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5875 A->stype = 1; |
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|
5876 A->xtype = CHOLMOD_REAL; |
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|
5877 |
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|
5878 if (nr < 1) |
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|
5879 A->x = &dummy; |
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changeset
|
5880 else |
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changeset
|
5881 A->x = data(); |
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changeset
|
5882 |
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5883 cholmod_dense Bstore; |
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|
5884 cholmod_dense *B = &Bstore; |
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changeset
|
5885 B->nrow = b.rows(); |
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changeset
|
5886 B->ncol = b.cols(); |
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changeset
|
5887 B->d = B->nrow; |
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changeset
|
5888 B->nzmax = B->nrow * B->ncol; |
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changeset
|
5889 B->dtype = CHOLMOD_DOUBLE; |
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changeset
|
5890 B->xtype = CHOLMOD_REAL; |
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changeset
|
5891 if (nc < 1 || b.cols() < 1) |
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|
5892 B->x = &dummy; |
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changeset
|
5893 else |
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changeset
|
5894 // We won't alter it, honest :-) |
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changeset
|
5895 B->x = const_cast<double *>(b.fortran_vec()); |
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changeset
|
5896 |
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5897 cholmod_factor *L; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5898 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5899 L = CHOLMOD_NAME(analyze) (A, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5900 CHOLMOD_NAME(factorize) (A, L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5901 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5902 rcond = CHOLMOD_NAME(rcond)(L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5903 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5904 rcond = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5905 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5906 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5907 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5908 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5909 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5910 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5911 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5912 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5913 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5914 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5915 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5916 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5917 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5918 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5919 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5920 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5921 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5922 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5923 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5924 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5925 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5926 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5927 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5928 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5929 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5930 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5931 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5932 return retval; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5933 } |
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 cholmod_dense *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5936 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5937 X = CHOLMOD_NAME(solve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5938 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5939 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5940 retval.resize (b.rows (), b.cols()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5941 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
|
5942 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5943 octave_idx_type jr = j * b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5944 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
|
5945 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
|
5946 } |
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 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5949 CHOLMOD_NAME(free_dense) (&X, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5950 CHOLMOD_NAME(free_factor) (&L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5951 CHOLMOD_NAME(finish) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5952 static char tmp[] = " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5953 CHOLMOD_NAME(print_common) (tmp, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5954 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5955 } |
5506 | 5956 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5957 (*current_liboctave_warning_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5958 ("CHOLMOD not installed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5959 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5960 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5961 typ = MatrixType::Full; |
5506 | 5962 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5963 } |
5164 | 5964 |
5785 | 5965 if (typ == MatrixType::Full) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5966 { |
5203 | 5967 #ifdef HAVE_UMFPACK |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5968 Matrix Control, Info; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5969 void *Numeric = |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5970 factorize (err, rcond, Control, Info, sing_handler, calc_cond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5971 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5972 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5973 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5974 const double *Bx = b.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5975 retval.resize (b.rows (), b.cols()); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5976 double *result = retval.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5977 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5978 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5979 int status = 0; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5980 double *control = Control.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5981 double *info = Info.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5982 const octave_idx_type *Ap = cidx (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5983 const octave_idx_type *Ai = ridx (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5984 const double *Ax = data (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5985 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5986 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
|
5987 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5988 status = UMFPACK_DNAME (solve) (UMFPACK_A, Ap, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5989 Ai, Ax, &result[iidx], &Bx[iidx], |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5990 Numeric, control, info); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5991 if (status < 0) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5992 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5993 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5994 ("SparseMatrix::solve solve failed"); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5995 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5996 UMFPACK_DNAME (report_status) (control, status); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5997 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5998 err = -1; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5999 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6000 break; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6001 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6002 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6003 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6004 UMFPACK_DNAME (report_info) (control, info); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6005 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6006 UMFPACK_DNAME (free_numeric) (&Numeric); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6007 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6008 else |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6009 mattype.mark_as_rectangular (); |
5681 | 6010 |
5203 | 6011 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6012 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 6013 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6014 } |
5785 | 6015 else if (typ != MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6016 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 6017 } |
6018 | |
6019 return retval; | |
6020 } | |
6021 | |
6022 SparseMatrix | |
5785 | 6023 SparseMatrix::fsolve (MatrixType &mattype, const SparseMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6024 octave_idx_type& err, double& rcond, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6025 solve_singularity_handler sing_handler, |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6026 bool calc_cond) const |
5164 | 6027 { |
6028 SparseMatrix retval; | |
6029 | |
5275 | 6030 octave_idx_type nr = rows (); |
6031 octave_idx_type nc = cols (); | |
5164 | 6032 err = 0; |
6033 | |
6924 | 6034 if (nr != nc || nr != b.rows ()) |
5164 | 6035 (*current_liboctave_error_handler) |
6036 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 6037 else if (nr == 0 || b.cols () == 0) |
6038 retval = SparseMatrix (nc, b.cols ()); | |
5164 | 6039 else |
6040 { | |
6041 // Print spparms("spumoni") info if requested | |
5506 | 6042 volatile int typ = mattype.type (); |
5164 | 6043 mattype.info (); |
6044 | |
5785 | 6045 if (typ == MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6046 { |
5506 | 6047 #ifdef HAVE_CHOLMOD |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6048 cholmod_common Common; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6049 cholmod_common *cm = &Common; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6050 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6051 // Setup initial parameters |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6052 CHOLMOD_NAME(start) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6053 cm->prefer_zomplex = false; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6054 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6055 double spu = octave_sparse_params::get_key ("spumoni"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6056 if (spu == 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6057 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6058 cm->print = -1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6059 cm->print_function = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6060 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6061 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6062 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6063 cm->print = static_cast<int> (spu) + 2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6064 cm->print_function =&SparseCholPrint; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6065 } |
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 cm->error_handler = &SparseCholError; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6068 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6069 cm->hypotenuse = CHOLMOD_NAME(hypot); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6070 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6071 cm->final_ll = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6072 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6073 cholmod_sparse Astore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6074 cholmod_sparse *A = &Astore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6075 double dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6076 A->nrow = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6077 A->ncol = nc; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6078 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6079 A->p = cidx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6080 A->i = ridx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6081 A->nzmax = nnz(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6082 A->packed = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6083 A->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6084 A->nz = 0; |
5506 | 6085 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6086 A->itype = CHOLMOD_LONG; |
5506 | 6087 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6088 A->itype = CHOLMOD_INT; |
5506 | 6089 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6090 A->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6091 A->stype = 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6092 A->xtype = CHOLMOD_REAL; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6093 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6094 if (nr < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6095 A->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6096 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6097 A->x = data(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6098 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6099 cholmod_sparse Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6100 cholmod_sparse *B = &Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6101 B->nrow = b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6102 B->ncol = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6103 B->p = b.cidx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6104 B->i = b.ridx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6105 B->nzmax = b.nnz(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6106 B->packed = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6107 B->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6108 B->nz = 0; |
5506 | 6109 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6110 B->itype = CHOLMOD_LONG; |
5506 | 6111 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6112 B->itype = CHOLMOD_INT; |
5506 | 6113 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6114 B->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6115 B->stype = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6116 B->xtype = CHOLMOD_REAL; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6117 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6118 if (b.rows() < 1 || b.cols() < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6119 B->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6120 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6121 B->x = b.data(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6122 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6123 cholmod_factor *L; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6124 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6125 L = CHOLMOD_NAME(analyze) (A, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6126 CHOLMOD_NAME(factorize) (A, L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6127 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6128 rcond = CHOLMOD_NAME(rcond)(L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6129 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6130 rcond = 1.; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6131 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6132 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6133 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6134 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6135 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6136 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6137 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6138 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6139 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6140 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6141 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6142 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6143 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6144 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6145 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6146 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6147 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6148 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6149 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6150 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6151 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6152 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6153 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6154 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6155 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6156 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6157 return retval; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6158 } |
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 cholmod_sparse *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6161 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6162 X = CHOLMOD_NAME(spsolve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6163 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6164 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6165 retval = SparseMatrix (static_cast<octave_idx_type>(X->nrow), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6166 static_cast<octave_idx_type>(X->ncol), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6167 static_cast<octave_idx_type>(X->nzmax)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6168 for (octave_idx_type j = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6169 j <= static_cast<octave_idx_type>(X->ncol); j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6170 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
|
6171 for (octave_idx_type j = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6172 j < static_cast<octave_idx_type>(X->nzmax); j++) |
07ebe522dac2
untabify liboctave C++ sources
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|
6173 { |
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6174 retval.xridx(j) = static_cast<octave_idx_type *>(X->i)[j]; |
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6175 retval.xdata(j) = static_cast<double *>(X->x)[j]; |
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6176 } |
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|
6177 |
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6178 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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6179 CHOLMOD_NAME(free_sparse) (&X, cm); |
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6180 CHOLMOD_NAME(free_factor) (&L, cm); |
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6181 CHOLMOD_NAME(finish) (cm); |
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6182 static char tmp[] = " "; |
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6183 CHOLMOD_NAME(print_common) (tmp, cm); |
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6184 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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6185 } |
5506 | 6186 #else |
10314
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6187 (*current_liboctave_warning_handler) |
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6188 ("CHOLMOD not installed"); |
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|
6189 |
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6190 mattype.mark_as_unsymmetric (); |
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6191 typ = MatrixType::Full; |
5506 | 6192 #endif |
10314
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6193 } |
5164 | 6194 |
5785 | 6195 if (typ == MatrixType::Full) |
10314
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6196 { |
5203 | 6197 #ifdef HAVE_UMFPACK |
10314
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6198 Matrix Control, Info; |
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6199 void *Numeric = factorize (err, rcond, Control, Info, |
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6200 sing_handler, calc_cond); |
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|
6201 |
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6202 if (err == 0) |
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|
6203 { |
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|
6204 octave_idx_type b_nr = b.rows (); |
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6205 octave_idx_type b_nc = b.cols (); |
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6206 int status = 0; |
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6207 double *control = Control.fortran_vec (); |
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6208 double *info = Info.fortran_vec (); |
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6209 const octave_idx_type *Ap = cidx (); |
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6210 const octave_idx_type *Ai = ridx (); |
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6211 const double *Ax = data (); |
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6212 |
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|
6213 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
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|
6214 OCTAVE_LOCAL_BUFFER (double, Xx, b_nr); |
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6215 |
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6216 // Take a first guess that the number of non-zero terms |
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6217 // will be as many as in b |
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6218 octave_idx_type x_nz = b.nnz (); |
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6219 octave_idx_type ii = 0; |
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6220 retval = SparseMatrix (b_nr, b_nc, x_nz); |
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|
6221 |
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|
6222 retval.xcidx(0) = 0; |
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6223 for (octave_idx_type j = 0; j < b_nc; j++) |
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|
6224 { |
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|
6225 |
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6226 for (octave_idx_type i = 0; i < b_nr; i++) |
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6227 Bx[i] = b.elem (i, j); |
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6228 |
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6229 status = UMFPACK_DNAME (solve) (UMFPACK_A, Ap, |
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6230 Ai, Ax, Xx, Bx, Numeric, control, |
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6231 info); |
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6232 if (status < 0) |
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|
6233 { |
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|
6234 (*current_liboctave_error_handler) |
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6235 ("SparseMatrix::solve solve failed"); |
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|
6236 |
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|
6237 UMFPACK_DNAME (report_status) (control, status); |
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|
6238 |
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|
6239 err = -1; |
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|
6240 |
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|
6241 break; |
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|
6242 } |
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|
6243 |
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|
6244 for (octave_idx_type i = 0; i < b_nr; i++) |
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|
6245 { |
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|
6246 double tmp = Xx[i]; |
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6247 if (tmp != 0.0) |
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|
6248 { |
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|
6249 if (ii == x_nz) |
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|
6250 { |
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|
6251 // Resize the sparse matrix |
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6252 octave_idx_type sz = x_nz * (b_nc - j) / b_nc; |
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6253 sz = (sz > 10 ? sz : 10) + x_nz; |
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6254 retval.change_capacity (sz); |
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|
6255 x_nz = sz; |
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|
6256 } |
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|
6257 retval.xdata(ii) = tmp; |
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6258 retval.xridx(ii++) = i; |
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6259 } |
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|
6260 } |
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6261 retval.xcidx(j+1) = ii; |
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|
6262 } |
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|
6263 |
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6264 retval.maybe_compress (); |
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6265 |
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6266 UMFPACK_DNAME (report_info) (control, info); |
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6267 |
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6268 UMFPACK_DNAME (free_numeric) (&Numeric); |
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6269 } |
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6270 else |
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6271 mattype.mark_as_rectangular (); |
5681 | 6272 |
5203 | 6273 #else |
10314
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6274 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 6275 #endif |
10314
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6276 } |
5785 | 6277 else if (typ != MatrixType::Hermitian) |
10314
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6278 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 6279 } |
6280 | |
6281 return retval; | |
6282 } | |
6283 | |
6284 ComplexMatrix | |
5785 | 6285 SparseMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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6286 octave_idx_type& err, double& rcond, |
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6287 solve_singularity_handler sing_handler, |
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6288 bool calc_cond) const |
5164 | 6289 { |
6290 ComplexMatrix retval; | |
6291 | |
5275 | 6292 octave_idx_type nr = rows (); |
6293 octave_idx_type nc = cols (); | |
5164 | 6294 err = 0; |
6295 | |
6924 | 6296 if (nr != nc || nr != b.rows ()) |
5164 | 6297 (*current_liboctave_error_handler) |
6298 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 6299 else if (nr == 0 || b.cols () == 0) |
6300 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
5164 | 6301 else |
6302 { | |
6303 // Print spparms("spumoni") info if requested | |
5506 | 6304 volatile int typ = mattype.type (); |
5164 | 6305 mattype.info (); |
6306 | |
5785 | 6307 if (typ == MatrixType::Hermitian) |
10314
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6308 { |
5506 | 6309 #ifdef HAVE_CHOLMOD |
10314
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6310 cholmod_common Common; |
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6311 cholmod_common *cm = &Common; |
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6312 |
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6313 // Setup initial parameters |
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6314 CHOLMOD_NAME(start) (cm); |
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6315 cm->prefer_zomplex = false; |
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6316 |
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6317 double spu = octave_sparse_params::get_key ("spumoni"); |
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6318 if (spu == 0.) |
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6319 { |
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6320 cm->print = -1; |
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6321 cm->print_function = 0; |
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6322 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6323 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6324 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6325 cm->print = static_cast<int> (spu) + 2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6326 cm->print_function =&SparseCholPrint; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6327 } |
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 cm->error_handler = &SparseCholError; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6330 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6331 cm->hypotenuse = CHOLMOD_NAME(hypot); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6332 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6333 cm->final_ll = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6334 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6335 cholmod_sparse Astore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6336 cholmod_sparse *A = &Astore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6337 double dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6338 A->nrow = nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6339 A->ncol = nc; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6340 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6341 A->p = cidx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6342 A->i = ridx(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6343 A->nzmax = nnz(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6344 A->packed = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6345 A->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6346 A->nz = 0; |
5506 | 6347 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6348 A->itype = CHOLMOD_LONG; |
5506 | 6349 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6350 A->itype = CHOLMOD_INT; |
5506 | 6351 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6352 A->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6353 A->stype = 1; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6354 A->xtype = CHOLMOD_REAL; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6355 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6356 if (nr < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6357 A->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6358 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6359 A->x = data(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6360 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6361 cholmod_dense Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6362 cholmod_dense *B = &Bstore; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6363 B->nrow = b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6364 B->ncol = b.cols(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6365 B->d = B->nrow; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6366 B->nzmax = B->nrow * B->ncol; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6367 B->dtype = CHOLMOD_DOUBLE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6368 B->xtype = CHOLMOD_COMPLEX; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6369 if (nc < 1 || b.cols() < 1) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6370 B->x = &dummy; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6371 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6372 // We won't alter it, honest :-) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6373 B->x = const_cast<Complex *>(b.fortran_vec()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6374 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6375 cholmod_factor *L; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6376 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6377 L = CHOLMOD_NAME(analyze) (A, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6378 CHOLMOD_NAME(factorize) (A, L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6379 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6380 rcond = CHOLMOD_NAME(rcond)(L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6381 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6382 rcond = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6383 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6384 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6385 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6386 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6387 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6388 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6389 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6390 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6391 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6392 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6393 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6394 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6395 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6396 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6397 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6398 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6399 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6400 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6401 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6402 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6403 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6404 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6405 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6406 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6407 rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6408 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6409 return retval; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6410 } |
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 cholmod_dense *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6413 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6414 X = CHOLMOD_NAME(solve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6415 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6416 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6417 retval.resize (b.rows (), b.cols()); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6418 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
|
6419 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6420 octave_idx_type jr = j * b.rows(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6421 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
|
6422 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
|
6423 } |
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 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6426 CHOLMOD_NAME(free_dense) (&X, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6427 CHOLMOD_NAME(free_factor) (&L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6428 CHOLMOD_NAME(finish) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6429 static char tmp[] = " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6430 CHOLMOD_NAME(print_common) (tmp, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6431 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6432 } |
5506 | 6433 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6434 (*current_liboctave_warning_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6435 ("CHOLMOD not installed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6436 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6437 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6438 typ = MatrixType::Full; |
5506 | 6439 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6440 } |
5164 | 6441 |
5785 | 6442 if (typ == MatrixType::Full) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6443 { |
5203 | 6444 #ifdef HAVE_UMFPACK |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6445 Matrix Control, Info; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6446 void *Numeric = factorize (err, rcond, Control, Info, |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6447 sing_handler, calc_cond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6448 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6449 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6450 { |
07ebe522dac2
untabify liboctave C++ sources
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|
6451 octave_idx_type b_nr = b.rows (); |
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untabify liboctave C++ sources
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|
6452 octave_idx_type b_nc = b.cols (); |
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untabify liboctave C++ sources
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diff
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|
6453 int status = 0; |
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diff
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|
6454 double *control = Control.fortran_vec (); |
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untabify liboctave C++ sources
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diff
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|
6455 double *info = Info.fortran_vec (); |
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untabify liboctave C++ sources
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|
6456 const octave_idx_type *Ap = cidx (); |
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untabify liboctave C++ sources
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|
6457 const octave_idx_type *Ai = ridx (); |
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untabify liboctave C++ sources
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|
6458 const double *Ax = data (); |
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|
6459 |
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|
6460 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
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untabify liboctave C++ sources
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diff
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|
6461 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
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untabify liboctave C++ sources
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|
6462 |
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changeset
|
6463 retval.resize (b_nr, b_nc); |
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changeset
|
6464 |
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diff
changeset
|
6465 OCTAVE_LOCAL_BUFFER (double, Xx, b_nr); |
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untabify liboctave C++ sources
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diff
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|
6466 OCTAVE_LOCAL_BUFFER (double, Xz, b_nr); |
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untabify liboctave C++ sources
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|
6467 |
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|
6468 for (octave_idx_type j = 0; j < b_nc; j++) |
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|
6469 { |
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changeset
|
6470 for (octave_idx_type i = 0; i < b_nr; i++) |
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|
6471 { |
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changeset
|
6472 Complex c = b (i,j); |
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|
6473 Bx[i] = std::real (c); |
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untabify liboctave C++ sources
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|
6474 Bz[i] = std::imag (c); |
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|
6475 } |
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diff
changeset
|
6476 |
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changeset
|
6477 status = UMFPACK_DNAME (solve) (UMFPACK_A, Ap, |
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untabify liboctave C++ sources
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diff
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|
6478 Ai, Ax, Xx, Bx, Numeric, control, |
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untabify liboctave C++ sources
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diff
changeset
|
6479 info); |
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changeset
|
6480 int status2 = UMFPACK_DNAME (solve) (UMFPACK_A, |
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untabify liboctave C++ sources
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diff
changeset
|
6481 Ap, Ai, Ax, Xz, Bz, Numeric, |
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untabify liboctave C++ sources
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diff
changeset
|
6482 control, info) ; |
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untabify liboctave C++ sources
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diff
changeset
|
6483 |
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diff
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|
6484 if (status < 0 || status2 < 0) |
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untabify liboctave C++ sources
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diff
changeset
|
6485 { |
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diff
changeset
|
6486 (*current_liboctave_error_handler) |
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untabify liboctave C++ sources
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diff
changeset
|
6487 ("SparseMatrix::solve solve failed"); |
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diff
changeset
|
6488 |
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untabify liboctave C++ sources
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diff
changeset
|
6489 UMFPACK_DNAME (report_status) (control, status); |
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untabify liboctave C++ sources
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diff
changeset
|
6490 |
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diff
changeset
|
6491 err = -1; |
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untabify liboctave C++ sources
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diff
changeset
|
6492 |
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untabify liboctave C++ sources
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diff
changeset
|
6493 break; |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6494 } |
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10158
diff
changeset
|
6495 |
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untabify liboctave C++ sources
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diff
changeset
|
6496 for (octave_idx_type i = 0; i < b_nr; i++) |
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untabify liboctave C++ sources
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diff
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|
6497 retval (i, j) = Complex (Xx[i], Xz[i]); |
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untabify liboctave C++ sources
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diff
changeset
|
6498 } |
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diff
changeset
|
6499 |
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diff
changeset
|
6500 UMFPACK_DNAME (report_info) (control, info); |
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untabify liboctave C++ sources
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diff
changeset
|
6501 |
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untabify liboctave C++ sources
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diff
changeset
|
6502 UMFPACK_DNAME (free_numeric) (&Numeric); |
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diff
changeset
|
6503 } |
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diff
changeset
|
6504 else |
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diff
changeset
|
6505 mattype.mark_as_rectangular (); |
5681 | 6506 |
5203 | 6507 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
6508 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 6509 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
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|
6510 } |
5785 | 6511 else if (typ != MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6512 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 6513 } |
6514 | |
6515 return retval; | |
6516 } | |
6517 | |
6518 SparseComplexMatrix | |
5785 | 6519 SparseMatrix::fsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6520 octave_idx_type& err, double& rcond, |
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untabify liboctave C++ sources
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diff
changeset
|
6521 solve_singularity_handler sing_handler, |
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untabify liboctave C++ sources
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diff
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|
6522 bool calc_cond) const |
5164 | 6523 { |
6524 SparseComplexMatrix retval; | |
6525 | |
5275 | 6526 octave_idx_type nr = rows (); |
6527 octave_idx_type nc = cols (); | |
5164 | 6528 err = 0; |
6529 | |
6924 | 6530 if (nr != nc || nr != b.rows ()) |
5164 | 6531 (*current_liboctave_error_handler) |
6532 ("matrix dimension mismatch solution of linear equations"); | |
6924 | 6533 else if (nr == 0 || b.cols () == 0) |
6534 retval = SparseComplexMatrix (nc, b.cols ()); | |
5164 | 6535 else |
6536 { | |
6537 // Print spparms("spumoni") info if requested | |
5506 | 6538 volatile int typ = mattype.type (); |
5164 | 6539 mattype.info (); |
6540 | |
5785 | 6541 if (typ == MatrixType::Hermitian) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6542 { |
5506 | 6543 #ifdef HAVE_CHOLMOD |
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
6544 cholmod_common Common; |
07ebe522dac2
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diff
changeset
|
6545 cholmod_common *cm = &Common; |
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diff
changeset
|
6546 |
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diff
changeset
|
6547 // Setup initial parameters |
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diff
changeset
|
6548 CHOLMOD_NAME(start) (cm); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6549 cm->prefer_zomplex = false; |
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diff
changeset
|
6550 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6551 double spu = octave_sparse_params::get_key ("spumoni"); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6552 if (spu == 0.) |
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10158
diff
changeset
|
6553 { |
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diff
changeset
|
6554 cm->print = -1; |
07ebe522dac2
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diff
changeset
|
6555 cm->print_function = 0; |
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diff
changeset
|
6556 } |
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diff
changeset
|
6557 else |
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10158
diff
changeset
|
6558 { |
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diff
changeset
|
6559 cm->print = static_cast<int> (spu) + 2; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6560 cm->print_function =&SparseCholPrint; |
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10158
diff
changeset
|
6561 } |
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diff
changeset
|
6562 |
07ebe522dac2
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changeset
|
6563 cm->error_handler = &SparseCholError; |
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untabify liboctave C++ sources
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|
6564 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
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|
6565 cm->hypotenuse = CHOLMOD_NAME(hypot); |
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changeset
|
6566 |
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changeset
|
6567 cm->final_ll = true; |
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changeset
|
6568 |
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changeset
|
6569 cholmod_sparse Astore; |
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changeset
|
6570 cholmod_sparse *A = &Astore; |
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diff
changeset
|
6571 double dummy; |
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changeset
|
6572 A->nrow = nr; |
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changeset
|
6573 A->ncol = nc; |
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changeset
|
6574 |
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|
6575 A->p = cidx(); |
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|
6576 A->i = ridx(); |
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changeset
|
6577 A->nzmax = nnz(); |
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changeset
|
6578 A->packed = true; |
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changeset
|
6579 A->sorted = true; |
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changeset
|
6580 A->nz = 0; |
5506 | 6581 #ifdef IDX_TYPE_LONG |
10314
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|
6582 A->itype = CHOLMOD_LONG; |
5506 | 6583 #else |
10314
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changeset
|
6584 A->itype = CHOLMOD_INT; |
5506 | 6585 #endif |
10314
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|
6586 A->dtype = CHOLMOD_DOUBLE; |
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changeset
|
6587 A->stype = 1; |
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changeset
|
6588 A->xtype = CHOLMOD_REAL; |
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changeset
|
6589 |
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changeset
|
6590 if (nr < 1) |
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changeset
|
6591 A->x = &dummy; |
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changeset
|
6592 else |
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changeset
|
6593 A->x = data(); |
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changeset
|
6594 |
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changeset
|
6595 cholmod_sparse Bstore; |
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diff
changeset
|
6596 cholmod_sparse *B = &Bstore; |
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changeset
|
6597 B->nrow = b.rows(); |
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changeset
|
6598 B->ncol = b.cols(); |
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diff
changeset
|
6599 B->p = b.cidx(); |
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untabify liboctave C++ sources
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diff
changeset
|
6600 B->i = b.ridx(); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
6601 B->nzmax = b.nnz(); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6602 B->packed = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6603 B->sorted = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6604 B->nz = 0; |
5506 | 6605 #ifdef IDX_TYPE_LONG |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6606 B->itype = CHOLMOD_LONG; |
5506 | 6607 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6608 B->itype = CHOLMOD_INT; |
5506 | 6609 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6610 B->dtype = CHOLMOD_DOUBLE; |
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untabify liboctave C++ sources
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diff
changeset
|
6611 B->stype = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6612 B->xtype = CHOLMOD_COMPLEX; |
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untabify liboctave C++ sources
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diff
changeset
|
6613 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6614 if (b.rows() < 1 || b.cols() < 1) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6615 B->x = &dummy; |
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untabify liboctave C++ sources
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diff
changeset
|
6616 else |
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diff
changeset
|
6617 B->x = b.data(); |
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untabify liboctave C++ sources
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diff
changeset
|
6618 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6619 cholmod_factor *L; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6620 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6621 L = CHOLMOD_NAME(analyze) (A, cm); |
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untabify liboctave C++ sources
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diff
changeset
|
6622 CHOLMOD_NAME(factorize) (A, L, cm); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6623 if (calc_cond) |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6624 rcond = CHOLMOD_NAME(rcond)(L, cm); |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6625 else |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6626 rcond = 1.0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6627 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
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untabify liboctave C++ sources
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10158
diff
changeset
|
6628 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6629 if (rcond == 0.0) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6630 { |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6631 // Either its indefinite or singular. Try UMFPACK |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6632 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6633 typ = MatrixType::Full; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6634 } |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6635 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6636 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6637 volatile double rcond_plus_one = rcond + 1.0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6638 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6639 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6640 { |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6641 err = -2; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6642 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6643 if (sing_handler) |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6644 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6645 sing_handler (rcond); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6646 mattype.mark_as_rectangular (); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6647 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6648 else |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6649 (*current_liboctave_error_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6650 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6651 rcond); |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6652 |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6653 return retval; |
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6654 } |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6655 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6656 cholmod_sparse *X; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6657 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6658 X = CHOLMOD_NAME(spsolve) (CHOLMOD_A, L, B, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6659 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6660 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6661 retval = SparseComplexMatrix |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6662 (static_cast<octave_idx_type>(X->nrow), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6663 static_cast<octave_idx_type>(X->ncol), |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6664 static_cast<octave_idx_type>(X->nzmax)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6665 for (octave_idx_type j = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6666 j <= static_cast<octave_idx_type>(X->ncol); j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6667 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
|
6668 for (octave_idx_type j = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6669 j < static_cast<octave_idx_type>(X->nzmax); j++) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6670 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6671 retval.xridx(j) = static_cast<octave_idx_type *>(X->i)[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6672 retval.xdata(j) = static_cast<Complex *>(X->x)[j]; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6673 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6674 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6675 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6676 CHOLMOD_NAME(free_sparse) (&X, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6677 CHOLMOD_NAME(free_factor) (&L, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6678 CHOLMOD_NAME(finish) (cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6679 static char tmp[] = " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6680 CHOLMOD_NAME(print_common) (tmp, cm); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6681 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6682 } |
5506 | 6683 #else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6684 (*current_liboctave_warning_handler) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6685 ("CHOLMOD not installed"); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6686 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6687 mattype.mark_as_unsymmetric (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6688 typ = MatrixType::Full; |
5506 | 6689 #endif |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6690 } |
5164 | 6691 |
5785 | 6692 if (typ == MatrixType::Full) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6693 { |
5203 | 6694 #ifdef HAVE_UMFPACK |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6695 Matrix Control, Info; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6696 void *Numeric = factorize (err, rcond, Control, Info, |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6697 sing_handler, calc_cond); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6698 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6699 if (err == 0) |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6700 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6701 octave_idx_type b_nr = b.rows (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6702 octave_idx_type b_nc = b.cols (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6703 int status = 0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6704 double *control = Control.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6705 double *info = Info.fortran_vec (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6706 const octave_idx_type *Ap = cidx (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6707 const octave_idx_type *Ai = ridx (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6708 const double *Ax = data (); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6709 |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6710 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6711 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6712 |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6713 // Take a first guess that the number of non-zero terms |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6714 // will be as many as in b |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6715 octave_idx_type x_nz = b.nnz (); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6716 octave_idx_type ii = 0; |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6717 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6718 |
07ebe522dac2
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diff
changeset
|
6719 OCTAVE_LOCAL_BUFFER (double, Xx, b_nr); |
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6720 OCTAVE_LOCAL_BUFFER (double, Xz, b_nr); |
07ebe522dac2
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10158
diff
changeset
|
6721 |
07ebe522dac2
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10158
diff
changeset
|
6722 retval.xcidx(0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6723 for (octave_idx_type j = 0; j < b_nc; j++) |
07ebe522dac2
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10158
diff
changeset
|
6724 { |
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6725 for (octave_idx_type i = 0; i < b_nr; i++) |
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6726 { |
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6727 Complex c = b (i,j); |
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6728 Bx[i] = std::real (c); |
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6729 Bz[i] = std::imag (c); |
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6730 } |
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6731 |
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6732 status = UMFPACK_DNAME (solve) (UMFPACK_A, Ap, |
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6733 Ai, Ax, Xx, Bx, Numeric, control, |
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6734 info); |
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6735 int status2 = UMFPACK_DNAME (solve) (UMFPACK_A, |
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6736 Ap, Ai, Ax, Xz, Bz, Numeric, |
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6737 control, info) ; |
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6738 |
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6739 if (status < 0 || status2 < 0) |
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6740 { |
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6741 (*current_liboctave_error_handler) |
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6742 ("SparseMatrix::solve solve failed"); |
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6743 |
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6744 UMFPACK_DNAME (report_status) (control, status); |
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6745 |
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6746 err = -1; |
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6747 |
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6748 break; |
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6749 } |
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6750 |
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6751 for (octave_idx_type i = 0; i < b_nr; i++) |
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6752 { |
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6753 Complex tmp = Complex (Xx[i], Xz[i]); |
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6754 if (tmp != 0.0) |
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6755 { |
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6756 if (ii == x_nz) |
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6757 { |
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6758 // Resize the sparse matrix |
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6759 octave_idx_type sz = x_nz * (b_nc - j) / b_nc; |
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6760 sz = (sz > 10 ? sz : 10) + x_nz; |
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6761 retval.change_capacity (sz); |
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6762 x_nz = sz; |
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6763 } |
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6764 retval.xdata(ii) = tmp; |
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6765 retval.xridx(ii++) = i; |
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6766 } |
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6767 } |
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6768 retval.xcidx(j+1) = ii; |
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6769 } |
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6770 |
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6771 retval.maybe_compress (); |
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6772 |
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6773 UMFPACK_DNAME (report_info) (control, info); |
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6774 |
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6775 UMFPACK_DNAME (free_numeric) (&Numeric); |
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6776 } |
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6777 else |
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6778 mattype.mark_as_rectangular (); |
5203 | 6779 #else |
10314
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6780 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
5203 | 6781 #endif |
10314
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6782 } |
5785 | 6783 else if (typ != MatrixType::Hermitian) |
10314
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6784 (*current_liboctave_error_handler) ("incorrect matrix type"); |
5164 | 6785 } |
6786 | |
6787 return retval; | |
6788 } | |
6789 | |
6790 Matrix | |
5785 | 6791 SparseMatrix::solve (MatrixType &mattype, const Matrix& b) const |
5164 | 6792 { |
5275 | 6793 octave_idx_type info; |
5164 | 6794 double rcond; |
6795 return solve (mattype, b, info, rcond, 0); | |
6796 } | |
6797 | |
6798 Matrix | |
5785 | 6799 SparseMatrix::solve (MatrixType &mattype, const Matrix& b, |
10314
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6800 octave_idx_type& info) const |
5164 | 6801 { |
6802 double rcond; | |
6803 return solve (mattype, b, info, rcond, 0); | |
6804 } | |
6805 | |
6806 Matrix | |
5785 | 6807 SparseMatrix::solve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, |
10314
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6808 double& rcond) const |
5164 | 6809 { |
6810 return solve (mattype, b, info, rcond, 0); | |
6811 } | |
6812 | |
6813 Matrix | |
5785 | 6814 SparseMatrix::solve (MatrixType &mattype, const Matrix& b, octave_idx_type& err, |
10314
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6815 double& rcond, solve_singularity_handler sing_handler, |
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6816 bool singular_fallback) const |
5164 | 6817 { |
5681 | 6818 Matrix retval; |
5322 | 6819 int typ = mattype.type (false); |
5164 | 6820 |
5785 | 6821 if (typ == MatrixType::Unknown) |
5164 | 6822 typ = mattype.type (*this); |
6823 | |
5681 | 6824 // Only calculate the condition number for CHOLMOD/UMFPACK |
5785 | 6825 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 6826 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6827 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 6828 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6829 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 6830 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6831 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 6832 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6833 else if (typ == MatrixType::Tridiagonal || |
10314
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6834 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 6835 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6836 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 6837 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 6838 else if (typ != MatrixType::Rectangular) |
5164 | 6839 { |
5681 | 6840 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 6841 return Matrix (); |
6842 } | |
5681 | 6843 |
6844 // Rectangular or one of the above solvers flags a singular matrix | |
5785 | 6845 if (singular_fallback && mattype.type (false) == MatrixType::Rectangular) |
5681 | 6846 { |
6847 rcond = 1.; | |
6848 #ifdef USE_QRSOLVE | |
6849 retval = qrsolve (*this, b, err); | |
6850 #else | |
6851 retval = dmsolve<Matrix, SparseMatrix, Matrix> (*this, b, err); | |
6852 #endif | |
6853 } | |
6854 | |
6855 return retval; | |
5164 | 6856 } |
6857 | |
6858 SparseMatrix | |
5785 | 6859 SparseMatrix::solve (MatrixType &mattype, const SparseMatrix& b) const |
5164 | 6860 { |
5275 | 6861 octave_idx_type info; |
5164 | 6862 double rcond; |
6863 return solve (mattype, b, info, rcond, 0); | |
6864 } | |
6865 | |
6866 SparseMatrix | |
5785 | 6867 SparseMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
10314
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|
6868 octave_idx_type& info) const |
5164 | 6869 { |
6870 double rcond; | |
6871 return solve (mattype, b, info, rcond, 0); | |
6872 } | |
6873 | |
6874 SparseMatrix | |
5785 | 6875 SparseMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
10314
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6876 octave_idx_type& info, double& rcond) const |
5164 | 6877 { |
6878 return solve (mattype, b, info, rcond, 0); | |
6879 } | |
6880 | |
6881 SparseMatrix | |
5785 | 6882 SparseMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
10314
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6883 octave_idx_type& err, double& rcond, |
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6884 solve_singularity_handler sing_handler, |
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|
6885 bool singular_fallback) const |
5164 | 6886 { |
5681 | 6887 SparseMatrix retval; |
5322 | 6888 int typ = mattype.type (false); |
5164 | 6889 |
5785 | 6890 if (typ == MatrixType::Unknown) |
5164 | 6891 typ = mattype.type (*this); |
6892 | |
5785 | 6893 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 6894 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6895 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 6896 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6897 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 6898 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6899 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 6900 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6901 else if (typ == MatrixType::Tridiagonal || |
10314
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6902 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 6903 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6904 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 6905 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 6906 else if (typ != MatrixType::Rectangular) |
5164 | 6907 { |
5681 | 6908 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 6909 return SparseMatrix (); |
6910 } | |
5681 | 6911 |
5785 | 6912 if (singular_fallback && mattype.type (false) == MatrixType::Rectangular) |
5681 | 6913 { |
6914 rcond = 1.; | |
6915 #ifdef USE_QRSOLVE | |
6916 retval = qrsolve (*this, b, err); | |
6917 #else | |
6918 retval = dmsolve<SparseMatrix, SparseMatrix, | |
10314
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6919 SparseMatrix> (*this, b, err); |
5681 | 6920 #endif |
6921 } | |
6922 | |
6923 return retval; | |
5164 | 6924 } |
6925 | |
6926 ComplexMatrix | |
5785 | 6927 SparseMatrix::solve (MatrixType &mattype, const ComplexMatrix& b) const |
5164 | 6928 { |
5275 | 6929 octave_idx_type info; |
5164 | 6930 double rcond; |
6931 return solve (mattype, b, info, rcond, 0); | |
6932 } | |
6933 | |
6934 ComplexMatrix | |
5785 | 6935 SparseMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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|
6936 octave_idx_type& info) const |
5164 | 6937 { |
6938 double rcond; | |
6939 return solve (mattype, b, info, rcond, 0); | |
6940 } | |
6941 | |
6942 ComplexMatrix | |
5785 | 6943 SparseMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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6944 octave_idx_type& info, double& rcond) const |
5164 | 6945 { |
6946 return solve (mattype, b, info, rcond, 0); | |
6947 } | |
6948 | |
6949 ComplexMatrix | |
5785 | 6950 SparseMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
10314
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6951 octave_idx_type& err, double& rcond, |
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6952 solve_singularity_handler sing_handler, |
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6953 bool singular_fallback) const |
5164 | 6954 { |
5681 | 6955 ComplexMatrix retval; |
5322 | 6956 int typ = mattype.type (false); |
5164 | 6957 |
5785 | 6958 if (typ == MatrixType::Unknown) |
5164 | 6959 typ = mattype.type (*this); |
6960 | |
5785 | 6961 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 6962 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6963 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 6964 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6965 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 6966 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6967 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 6968 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6969 else if (typ == MatrixType::Tridiagonal || |
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6970 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 6971 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 6972 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 6973 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 6974 else if (typ != MatrixType::Rectangular) |
5164 | 6975 { |
5681 | 6976 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 6977 return ComplexMatrix (); |
6978 } | |
5681 | 6979 |
5785 | 6980 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
5681 | 6981 { |
6982 rcond = 1.; | |
6983 #ifdef USE_QRSOLVE | |
6984 retval = qrsolve (*this, b, err); | |
6985 #else | |
6986 retval = dmsolve<ComplexMatrix, SparseMatrix, | |
10314
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6987 ComplexMatrix> (*this, b, err); |
5681 | 6988 #endif |
6989 } | |
6990 | |
6991 return retval; | |
5164 | 6992 } |
6993 | |
6994 SparseComplexMatrix | |
5785 | 6995 SparseMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b) const |
5164 | 6996 { |
5275 | 6997 octave_idx_type info; |
5164 | 6998 double rcond; |
6999 return solve (mattype, b, info, rcond, 0); | |
7000 } | |
7001 | |
7002 SparseComplexMatrix | |
5785 | 7003 SparseMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
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7004 octave_idx_type& info) const |
5164 | 7005 { |
7006 double rcond; | |
7007 return solve (mattype, b, info, rcond, 0); | |
7008 } | |
7009 | |
7010 SparseComplexMatrix | |
5785 | 7011 SparseMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
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7012 octave_idx_type& info, double& rcond) const |
5164 | 7013 { |
7014 return solve (mattype, b, info, rcond, 0); | |
7015 } | |
7016 | |
7017 SparseComplexMatrix | |
5785 | 7018 SparseMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
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|
7019 octave_idx_type& err, double& rcond, |
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|
7020 solve_singularity_handler sing_handler, |
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7021 bool singular_fallback) const |
5164 | 7022 { |
5681 | 7023 SparseComplexMatrix retval; |
5322 | 7024 int typ = mattype.type (false); |
5164 | 7025 |
5785 | 7026 if (typ == MatrixType::Unknown) |
5164 | 7027 typ = mattype.type (*this); |
7028 | |
5785 | 7029 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
5681 | 7030 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 7031 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
5681 | 7032 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 7033 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
5681 | 7034 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 7035 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
5681 | 7036 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 7037 else if (typ == MatrixType::Tridiagonal || |
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7038 typ == MatrixType::Tridiagonal_Hermitian) |
5681 | 7039 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
5785 | 7040 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
5681 | 7041 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
5785 | 7042 else if (typ != MatrixType::Rectangular) |
5164 | 7043 { |
5681 | 7044 (*current_liboctave_error_handler) ("unknown matrix type"); |
5164 | 7045 return SparseComplexMatrix (); |
7046 } | |
5681 | 7047 |
5785 | 7048 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
5681 | 7049 { |
7050 rcond = 1.; | |
7051 #ifdef USE_QRSOLVE | |
7052 retval = qrsolve (*this, b, err); | |
7053 #else | |
7054 retval = dmsolve<SparseComplexMatrix, SparseMatrix, | |
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7055 SparseComplexMatrix> (*this, b, err); |
5681 | 7056 #endif |
7057 } | |
7058 | |
7059 return retval; | |
5164 | 7060 } |
7061 | |
7062 ColumnVector | |
5785 | 7063 SparseMatrix::solve (MatrixType &mattype, const ColumnVector& b) const |
5164 | 7064 { |
5275 | 7065 octave_idx_type info; double rcond; |
5164 | 7066 return solve (mattype, b, info, rcond); |
7067 } | |
7068 | |
7069 ColumnVector | |
5785 | 7070 SparseMatrix::solve (MatrixType &mattype, const ColumnVector& b, octave_idx_type& info) const |
5164 | 7071 { |
7072 double rcond; | |
7073 return solve (mattype, b, info, rcond); | |
7074 } | |
7075 | |
7076 ColumnVector | |
5785 | 7077 SparseMatrix::solve (MatrixType &mattype, const ColumnVector& b, octave_idx_type& info, double& rcond) const |
5164 | 7078 { |
7079 return solve (mattype, b, info, rcond, 0); | |
7080 } | |
7081 | |
7082 ColumnVector | |
5785 | 7083 SparseMatrix::solve (MatrixType &mattype, const ColumnVector& b, octave_idx_type& info, double& rcond, |
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7084 solve_singularity_handler sing_handler) const |
5164 | 7085 { |
7086 Matrix tmp (b); | |
5275 | 7087 return solve (mattype, tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 7088 } |
7089 | |
7090 ComplexColumnVector | |
5785 | 7091 SparseMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b) const |
5164 | 7092 { |
5275 | 7093 octave_idx_type info; |
5164 | 7094 double rcond; |
7095 return solve (mattype, b, info, rcond, 0); | |
7096 } | |
7097 | |
7098 ComplexColumnVector | |
5785 | 7099 SparseMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, octave_idx_type& info) const |
5164 | 7100 { |
7101 double rcond; | |
7102 return solve (mattype, b, info, rcond, 0); | |
7103 } | |
7104 | |
7105 ComplexColumnVector | |
5785 | 7106 SparseMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, octave_idx_type& info, |
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|
7107 double& rcond) const |
5164 | 7108 { |
7109 return solve (mattype, b, info, rcond, 0); | |
7110 } | |
7111 | |
7112 ComplexColumnVector | |
5785 | 7113 SparseMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, octave_idx_type& info, double& rcond, |
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7114 solve_singularity_handler sing_handler) const |
5164 | 7115 { |
7116 ComplexMatrix tmp (b); | |
5275 | 7117 return solve (mattype, tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 7118 } |
7119 | |
7120 Matrix | |
7121 SparseMatrix::solve (const Matrix& b) const | |
7122 { | |
5275 | 7123 octave_idx_type info; |
5164 | 7124 double rcond; |
7125 return solve (b, info, rcond, 0); | |
7126 } | |
7127 | |
7128 Matrix | |
5275 | 7129 SparseMatrix::solve (const Matrix& b, octave_idx_type& info) const |
5164 | 7130 { |
7131 double rcond; | |
7132 return solve (b, info, rcond, 0); | |
7133 } | |
7134 | |
7135 Matrix | |
5275 | 7136 SparseMatrix::solve (const Matrix& b, octave_idx_type& info, |
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|
7137 double& rcond) const |
5164 | 7138 { |
7139 return solve (b, info, rcond, 0); | |
7140 } | |
7141 | |
7142 Matrix | |
5275 | 7143 SparseMatrix::solve (const Matrix& b, octave_idx_type& err, |
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|
7144 double& rcond, |
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|
7145 solve_singularity_handler sing_handler) const |
5164 | 7146 { |
5785 | 7147 MatrixType mattype (*this); |
5164 | 7148 return solve (mattype, b, err, rcond, sing_handler); |
7149 } | |
7150 | |
7151 SparseMatrix | |
7152 SparseMatrix::solve (const SparseMatrix& b) const | |
7153 { | |
5275 | 7154 octave_idx_type info; |
5164 | 7155 double rcond; |
7156 return solve (b, info, rcond, 0); | |
7157 } | |
7158 | |
7159 SparseMatrix | |
7160 SparseMatrix::solve (const SparseMatrix& b, | |
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|
7161 octave_idx_type& info) const |
5164 | 7162 { |
7163 double rcond; | |
7164 return solve (b, info, rcond, 0); | |
7165 } | |
7166 | |
7167 SparseMatrix | |
7168 SparseMatrix::solve (const SparseMatrix& b, | |
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|
7169 octave_idx_type& info, double& rcond) const |
5164 | 7170 { |
7171 return solve (b, info, rcond, 0); | |
7172 } | |
7173 | |
7174 SparseMatrix | |
7175 SparseMatrix::solve (const SparseMatrix& b, | |
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|
7176 octave_idx_type& err, double& rcond, |
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|
7177 solve_singularity_handler sing_handler) const |
5164 | 7178 { |
5785 | 7179 MatrixType mattype (*this); |
5164 | 7180 return solve (mattype, b, err, rcond, sing_handler); |
7181 } | |
7182 | |
7183 ComplexMatrix | |
7184 SparseMatrix::solve (const ComplexMatrix& b, | |
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|
7185 octave_idx_type& info) const |
5164 | 7186 { |
7187 double rcond; | |
7188 return solve (b, info, rcond, 0); | |
7189 } | |
7190 | |
7191 ComplexMatrix | |
7192 SparseMatrix::solve (const ComplexMatrix& b, | |
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|
7193 octave_idx_type& info, double& rcond) const |
5164 | 7194 { |
7195 return solve (b, info, rcond, 0); | |
7196 } | |
7197 | |
7198 ComplexMatrix | |
7199 SparseMatrix::solve (const ComplexMatrix& b, | |
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|
7200 octave_idx_type& err, double& rcond, |
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|
7201 solve_singularity_handler sing_handler) const |
5164 | 7202 { |
5785 | 7203 MatrixType mattype (*this); |
5164 | 7204 return solve (mattype, b, err, rcond, sing_handler); |
7205 } | |
7206 | |
7207 SparseComplexMatrix | |
7208 SparseMatrix::solve (const SparseComplexMatrix& b) const | |
7209 { | |
5275 | 7210 octave_idx_type info; |
5164 | 7211 double rcond; |
7212 return solve (b, info, rcond, 0); | |
7213 } | |
7214 | |
7215 SparseComplexMatrix | |
7216 SparseMatrix::solve (const SparseComplexMatrix& b, | |
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|
7217 octave_idx_type& info) const |
5164 | 7218 { |
7219 double rcond; | |
7220 return solve (b, info, rcond, 0); | |
7221 } | |
7222 | |
7223 SparseComplexMatrix | |
7224 SparseMatrix::solve (const SparseComplexMatrix& b, | |
10314
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|
7225 octave_idx_type& info, double& rcond) const |
5164 | 7226 { |
7227 return solve (b, info, rcond, 0); | |
7228 } | |
7229 | |
7230 SparseComplexMatrix | |
7231 SparseMatrix::solve (const SparseComplexMatrix& b, | |
10314
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changeset
|
7232 octave_idx_type& err, double& rcond, |
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changeset
|
7233 solve_singularity_handler sing_handler) const |
5164 | 7234 { |
5785 | 7235 MatrixType mattype (*this); |
5164 | 7236 return solve (mattype, b, err, rcond, sing_handler); |
7237 } | |
7238 | |
7239 ColumnVector | |
7240 SparseMatrix::solve (const ColumnVector& b) const | |
7241 { | |
5275 | 7242 octave_idx_type info; double rcond; |
5164 | 7243 return solve (b, info, rcond); |
7244 } | |
7245 | |
7246 ColumnVector | |
5275 | 7247 SparseMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
5164 | 7248 { |
7249 double rcond; | |
7250 return solve (b, info, rcond); | |
7251 } | |
7252 | |
7253 ColumnVector | |
5275 | 7254 SparseMatrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcond) const |
5164 | 7255 { |
7256 return solve (b, info, rcond, 0); | |
7257 } | |
7258 | |
7259 ColumnVector | |
5275 | 7260 SparseMatrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
10314
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changeset
|
7261 solve_singularity_handler sing_handler) const |
5164 | 7262 { |
7263 Matrix tmp (b); | |
5275 | 7264 return solve (tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 7265 } |
7266 | |
7267 ComplexColumnVector | |
7268 SparseMatrix::solve (const ComplexColumnVector& b) const | |
7269 { | |
5275 | 7270 octave_idx_type info; |
5164 | 7271 double rcond; |
7272 return solve (b, info, rcond, 0); | |
7273 } | |
7274 | |
7275 ComplexColumnVector | |
5275 | 7276 SparseMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
5164 | 7277 { |
7278 double rcond; | |
7279 return solve (b, info, rcond, 0); | |
7280 } | |
7281 | |
7282 ComplexColumnVector | |
5275 | 7283 SparseMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
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|
7284 double& rcond) const |
5164 | 7285 { |
7286 return solve (b, info, rcond, 0); | |
7287 } | |
7288 | |
7289 ComplexColumnVector | |
5275 | 7290 SparseMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, double& rcond, |
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|
7291 solve_singularity_handler sing_handler) const |
5164 | 7292 { |
7293 ComplexMatrix tmp (b); | |
5275 | 7294 return solve (tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
5164 | 7295 } |
7296 | |
7297 // other operations. | |
7298 | |
7299 bool | |
7300 SparseMatrix::any_element_is_negative (bool neg_zero) const | |
7301 { | |
5681 | 7302 octave_idx_type nel = nnz (); |
5164 | 7303 |
7304 if (neg_zero) | |
7305 { | |
5275 | 7306 for (octave_idx_type i = 0; i < nel; i++) |
10314
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changeset
|
7307 if (lo_ieee_signbit (data (i))) |
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|
7308 return true; |
5164 | 7309 } |
7310 else | |
7311 { | |
5275 | 7312 for (octave_idx_type i = 0; i < nel; i++) |
10314
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|
7313 if (data (i) < 0) |
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|
7314 return true; |
5164 | 7315 } |
7316 | |
7317 return false; | |
7318 } | |
7319 | |
7320 bool | |
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
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diff
changeset
|
7321 SparseMatrix::any_element_is_nan (void) const |
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7802
diff
changeset
|
7322 { |
935be827eaf8
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diff
changeset
|
7323 octave_idx_type nel = nnz (); |
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|
7324 |
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changeset
|
7325 for (octave_idx_type i = 0; i < nel; i++) |
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error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
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7802
diff
changeset
|
7326 { |
935be827eaf8
error for NaN values in & and | expressions
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7802
diff
changeset
|
7327 double val = data (i); |
935be827eaf8
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diff
changeset
|
7328 if (xisnan (val)) |
10314
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|
7329 return true; |
7922
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diff
changeset
|
7330 } |
935be827eaf8
error for NaN values in & and | expressions
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diff
changeset
|
7331 |
935be827eaf8
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7802
diff
changeset
|
7332 return false; |
935be827eaf8
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diff
changeset
|
7333 } |
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changeset
|
7334 |
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|
7335 bool |
5164 | 7336 SparseMatrix::any_element_is_inf_or_nan (void) const |
7337 { | |
5681 | 7338 octave_idx_type nel = nnz (); |
5275 | 7339 |
7340 for (octave_idx_type i = 0; i < nel; i++) | |
5164 | 7341 { |
7342 double val = data (i); | |
7343 if (xisinf (val) || xisnan (val)) | |
10314
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|
7344 return true; |
5164 | 7345 } |
7346 | |
7347 return false; | |
7348 } | |
7349 | |
7350 bool | |
9852
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implement sparse logical conversion
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|
7351 SparseMatrix::any_element_not_one_or_zero (void) const |
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diff
changeset
|
7352 { |
aabf7a8c2e57
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changeset
|
7353 octave_idx_type nel = nnz (); |
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|
7354 |
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changeset
|
7355 for (octave_idx_type i = 0; i < nel; i++) |
aabf7a8c2e57
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diff
changeset
|
7356 { |
aabf7a8c2e57
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diff
changeset
|
7357 double val = data (i); |
aabf7a8c2e57
implement sparse logical conversion
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7358 if (val != 0.0 && val != 1.0) |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7359 return true; |
9852
aabf7a8c2e57
implement sparse logical conversion
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7360 } |
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 return false; |
aabf7a8c2e57
implement sparse logical conversion
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7363 } |
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 bool |
6989 | 7366 SparseMatrix::all_elements_are_zero (void) const |
7367 { | |
7368 octave_idx_type nel = nnz (); | |
7369 | |
7370 for (octave_idx_type i = 0; i < nel; i++) | |
7371 if (data (i) != 0) | |
7372 return false; | |
7373 | |
7374 return true; | |
7375 } | |
7376 | |
7377 bool | |
5164 | 7378 SparseMatrix::all_elements_are_int_or_inf_or_nan (void) const |
7379 { | |
5681 | 7380 octave_idx_type nel = nnz (); |
5275 | 7381 |
7382 for (octave_idx_type i = 0; i < nel; i++) | |
5164 | 7383 { |
7384 double val = data (i); | |
7385 if (xisnan (val) || D_NINT (val) == val) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7386 continue; |
5164 | 7387 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7388 return false; |
5164 | 7389 } |
7390 | |
7391 return true; | |
7392 } | |
7393 | |
7394 // Return nonzero if any element of M is not an integer. Also extract | |
7395 // the largest and smallest values and return them in MAX_VAL and MIN_VAL. | |
7396 | |
7397 bool | |
7398 SparseMatrix::all_integers (double& max_val, double& min_val) const | |
7399 { | |
5681 | 7400 octave_idx_type nel = nnz (); |
5164 | 7401 |
7402 if (nel == 0) | |
7403 return false; | |
7404 | |
7405 max_val = data (0); | |
7406 min_val = data (0); | |
7407 | |
5275 | 7408 for (octave_idx_type i = 0; i < nel; i++) |
5164 | 7409 { |
7410 double val = data (i); | |
7411 | |
7412 if (val > max_val) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7413 max_val = val; |
5164 | 7414 |
7415 if (val < min_val) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7416 min_val = val; |
5164 | 7417 |
7418 if (D_NINT (val) != val) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7419 return false; |
5164 | 7420 } |
7421 | |
7422 return true; | |
7423 } | |
7424 | |
7425 bool | |
7426 SparseMatrix::too_large_for_float (void) const | |
7427 { | |
5681 | 7428 octave_idx_type nel = nnz (); |
5275 | 7429 |
7430 for (octave_idx_type i = 0; i < nel; i++) | |
5164 | 7431 { |
7432 double val = data (i); | |
7433 | |
7434 if (val > FLT_MAX || val < FLT_MIN) | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7435 return true; |
5164 | 7436 } |
7437 | |
7438 return false; | |
7439 } | |
7440 | |
7441 SparseBoolMatrix | |
7442 SparseMatrix::operator ! (void) const | |
7443 { | |
5275 | 7444 octave_idx_type nr = rows (); |
7445 octave_idx_type nc = cols (); | |
5681 | 7446 octave_idx_type nz1 = nnz (); |
5275 | 7447 octave_idx_type nz2 = nr*nc - nz1; |
5164 | 7448 |
7449 SparseBoolMatrix r (nr, nc, nz2); | |
7450 | |
5275 | 7451 octave_idx_type ii = 0; |
7452 octave_idx_type jj = 0; | |
5164 | 7453 r.cidx (0) = 0; |
5275 | 7454 for (octave_idx_type i = 0; i < nc; i++) |
5164 | 7455 { |
5275 | 7456 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
|
7457 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7458 if (jj < cidx(i+1) && ridx(jj) == j) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7459 jj++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7460 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7461 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7462 r.data(ii) = true; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7463 r.ridx(ii++) = j; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7464 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7465 } |
5164 | 7466 r.cidx (i+1) = ii; |
7467 } | |
7468 | |
7469 return r; | |
7470 } | |
7471 | |
5775 | 7472 // FIXME Do these really belong here? Maybe they should be |
5164 | 7473 // in a base class? |
7474 | |
7475 SparseBoolMatrix | |
7476 SparseMatrix::all (int dim) const | |
7477 { | |
7478 SPARSE_ALL_OP (dim); | |
7479 } | |
7480 | |
7481 SparseBoolMatrix | |
7482 SparseMatrix::any (int dim) const | |
7483 { | |
7484 SPARSE_ANY_OP (dim); | |
7485 } | |
7486 | |
7487 SparseMatrix | |
7488 SparseMatrix::cumprod (int dim) const | |
7489 { | |
7490 SPARSE_CUMPROD (SparseMatrix, double, cumprod); | |
7491 } | |
7492 | |
7493 SparseMatrix | |
7494 SparseMatrix::cumsum (int dim) const | |
7495 { | |
7496 SPARSE_CUMSUM (SparseMatrix, double, cumsum); | |
7497 } | |
7498 | |
7499 SparseMatrix | |
7500 SparseMatrix::prod (int dim) const | |
7501 { | |
7269 | 7502 if ((rows() == 1 && dim == -1) || dim == 1) |
7503 return transpose (). prod (0). transpose(); | |
7504 else | |
7505 { | |
7506 SPARSE_REDUCTION_OP (SparseMatrix, double, *=, | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7507 (cidx(j+1) - cidx(j) < nr ? 0.0 : 1.0), 1.0); |
7269 | 7508 } |
5164 | 7509 } |
7510 | |
7511 SparseMatrix | |
7512 SparseMatrix::sum (int dim) const | |
7513 { | |
7514 SPARSE_REDUCTION_OP (SparseMatrix, double, +=, 0.0, 0.0); | |
7515 } | |
7516 | |
7517 SparseMatrix | |
7518 SparseMatrix::sumsq (int dim) const | |
7519 { | |
7520 #define ROW_EXPR \ | |
7269 | 7521 double d = data (i); \ |
7522 tmp[ridx(i)] += d * d | |
5164 | 7523 |
7524 #define COL_EXPR \ | |
7269 | 7525 double d = data (i); \ |
5164 | 7526 tmp[j] += d * d |
7527 | |
7528 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
|
7529 0.0, 0.0); |
5164 | 7530 |
7531 #undef ROW_EXPR | |
7532 #undef COL_EXPR | |
7533 } | |
7534 | |
7535 SparseMatrix | |
7536 SparseMatrix::abs (void) const | |
7537 { | |
5681 | 7538 octave_idx_type nz = nnz (); |
5164 | 7539 |
7540 SparseMatrix retval (*this); | |
7541 | |
5275 | 7542 for (octave_idx_type i = 0; i < nz; i++) |
5164 | 7543 retval.data(i) = fabs(retval.data(i)); |
7544 | |
7545 return retval; | |
7546 } | |
7547 | |
7548 SparseMatrix | |
5275 | 7549 SparseMatrix::diag (octave_idx_type k) const |
5164 | 7550 { |
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7602
diff
changeset
|
7551 return MSparse<double>::diag (k); |
5164 | 7552 } |
7553 | |
7554 Matrix | |
7555 SparseMatrix::matrix_value (void) const | |
7556 { | |
5275 | 7557 octave_idx_type nr = rows (); |
7558 octave_idx_type nc = cols (); | |
5164 | 7559 |
7560 Matrix retval (nr, nc, 0.0); | |
5275 | 7561 for (octave_idx_type j = 0; j < nc; j++) |
7562 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) | |
5164 | 7563 retval.elem (ridx(i), j) = data (i); |
7564 | |
7565 return retval; | |
7566 } | |
7567 | |
7568 std::ostream& | |
7569 operator << (std::ostream& os, const SparseMatrix& a) | |
7570 { | |
5275 | 7571 octave_idx_type nc = a.cols (); |
5164 | 7572 |
7573 // add one to the printed indices to go from | |
7574 // zero-based to one-based arrays | |
5275 | 7575 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
|
7576 octave_quit (); |
5275 | 7577 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
|
7578 os << a.ridx(i) + 1 << " " << j + 1 << " "; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7579 octave_write_double (os, a.data(i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7580 os << "\n"; |
5164 | 7581 } |
7582 } | |
7583 | |
7584 return os; | |
7585 } | |
7586 | |
7587 std::istream& | |
7588 operator >> (std::istream& is, SparseMatrix& a) | |
7589 { | |
9469
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7590 typedef SparseMatrix::element_type elt_type; |
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7591 |
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7592 return read_sparse_matrix<elt_type> (is, a, octave_read_value<double>); |
5164 | 7593 } |
7594 | |
7595 SparseMatrix | |
7596 SparseMatrix::squeeze (void) const | |
7597 { | |
7598 return MSparse<double>::squeeze (); | |
7599 } | |
7600 | |
7601 SparseMatrix | |
7602 SparseMatrix::index (idx_vector& i, int resize_ok) const | |
7603 { | |
7604 return MSparse<double>::index (i, resize_ok); | |
7605 } | |
7606 | |
7607 SparseMatrix | |
7608 SparseMatrix::index (idx_vector& i, idx_vector& j, int resize_ok) const | |
7609 { | |
7610 return MSparse<double>::index (i, j, resize_ok); | |
7611 } | |
7612 | |
7613 SparseMatrix | |
7614 SparseMatrix::index (Array<idx_vector>& ra_idx, int resize_ok) const | |
7615 { | |
7616 return MSparse<double>::index (ra_idx, resize_ok); | |
7617 } | |
7618 | |
7619 SparseMatrix | |
7620 SparseMatrix::reshape (const dim_vector& new_dims) const | |
7621 { | |
7622 return MSparse<double>::reshape (new_dims); | |
7623 } | |
7624 | |
7625 SparseMatrix | |
5275 | 7626 SparseMatrix::permute (const Array<octave_idx_type>& vec, bool inv) const |
5164 | 7627 { |
7628 return MSparse<double>::permute (vec, inv); | |
7629 } | |
7630 | |
7631 SparseMatrix | |
5275 | 7632 SparseMatrix::ipermute (const Array<octave_idx_type>& vec) const |
5164 | 7633 { |
7634 return MSparse<double>::ipermute (vec); | |
7635 } | |
7636 | |
7637 // matrix by matrix -> matrix operations | |
7638 | |
7639 SparseMatrix | |
7640 operator * (const SparseMatrix& m, const SparseMatrix& a) | |
7641 { | |
5681 | 7642 SPARSE_SPARSE_MUL (SparseMatrix, double, double); |
5164 | 7643 } |
7644 | |
5429 | 7645 Matrix |
7646 operator * (const Matrix& m, const SparseMatrix& a) | |
7647 { | |
5681 | 7648 FULL_SPARSE_MUL (Matrix, double, 0.); |
5429 | 7649 } |
7650 | |
7651 Matrix | |
7802
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7652 mul_trans (const Matrix& m, const SparseMatrix& a) |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7653 { |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7654 FULL_SPARSE_MUL_TRANS (Matrix, double, 0., ); |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7655 } |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7656 |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7657 Matrix |
5429 | 7658 operator * (const SparseMatrix& m, const Matrix& a) |
7659 { | |
5681 | 7660 SPARSE_FULL_MUL (Matrix, double, 0.); |
5429 | 7661 } |
7662 | |
7802
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7663 Matrix |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7664 trans_mul (const SparseMatrix& m, const Matrix& a) |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7665 { |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7666 SPARSE_FULL_TRANS_MUL (Matrix, double, 0., ); |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7667 } |
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7776
diff
changeset
|
7668 |
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7669 // 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
|
7670 |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7671 SparseMatrix |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7672 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
|
7673 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7674 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
|
7675 } |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7676 |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7677 SparseMatrix |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7678 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
|
7679 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7680 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
|
7681 } |
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8951
diff
changeset
|
7682 |
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7683 SparseMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7684 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
|
7685 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7686 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
|
7687 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7688 |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7689 SparseMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7690 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
|
7691 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7692 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
|
7693 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7694 |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7695 SparseMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7696 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
|
7697 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7698 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
|
7699 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7700 |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7701 SparseMatrix |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7702 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
|
7703 { |
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7704 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
|
7705 } |
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7706 |
8968
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7707 // 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
|
7708 |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7709 SparseMatrix |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7710 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
|
7711 { |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7712 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
|
7713 } |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7714 |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7715 SparseMatrix |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7716 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
|
7717 { |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7718 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
|
7719 } |
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7720 |
5775 | 7721 // FIXME -- it would be nice to share code among the min/max |
5164 | 7722 // functions below. |
7723 | |
7724 #define EMPTY_RETURN_CHECK(T) \ | |
7725 if (nr == 0 || nc == 0) \ | |
7726 return T (nr, nc); | |
7727 | |
7728 SparseMatrix | |
7729 min (double d, const SparseMatrix& m) | |
7730 { | |
7731 SparseMatrix result; | |
7732 | |
5275 | 7733 octave_idx_type nr = m.rows (); |
7734 octave_idx_type nc = m.columns (); | |
5164 | 7735 |
7736 EMPTY_RETURN_CHECK (SparseMatrix); | |
7737 | |
7738 // Count the number of non-zero elements | |
7739 if (d < 0.) | |
7740 { | |
7741 result = SparseMatrix (nr, nc, d); | |
5275 | 7742 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
|
7743 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
|
7744 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7745 double tmp = xmin (d, m.data (i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7746 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7747 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7748 octave_idx_type idx = m.ridx(i) + j * nr; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7749 result.xdata(idx) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7750 result.xridx(idx) = m.ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7751 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7752 } |
5164 | 7753 } |
7754 else | |
7755 { | |
5275 | 7756 octave_idx_type nel = 0; |
7757 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
|
7758 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
|
7759 if (xmin (d, m.data (i)) != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7760 nel++; |
5164 | 7761 |
7762 result = SparseMatrix (nr, nc, nel); | |
7763 | |
5275 | 7764 octave_idx_type ii = 0; |
5164 | 7765 result.xcidx(0) = 0; |
5275 | 7766 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
|
7767 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7768 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
|
7769 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7770 double tmp = xmin (d, m.data (i)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7771 |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7772 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7773 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7774 result.xdata(ii) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7775 result.xridx(ii++) = m.ridx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7776 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7777 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7778 result.xcidx(j+1) = ii; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7779 } |
5164 | 7780 } |
7781 | |
7782 return result; | |
7783 } | |
7784 | |
7785 SparseMatrix | |
7786 min (const SparseMatrix& m, double d) | |
7787 { | |
7788 return min (d, m); | |
7789 } | |
7790 | |
7791 SparseMatrix | |
7792 min (const SparseMatrix& a, const SparseMatrix& b) | |
7793 { | |
7794 SparseMatrix r; | |
7795 | |
7796 if ((a.rows() == b.rows()) && (a.cols() == b.cols())) | |
7797 { | |
5275 | 7798 octave_idx_type a_nr = a.rows (); |
7799 octave_idx_type a_nc = a.cols (); | |
7800 | |
7801 octave_idx_type b_nr = b.rows (); | |
7802 octave_idx_type b_nc = b.cols (); | |
5164 | 7803 |
7804 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
|
7805 gripe_nonconformant ("min", a_nr, a_nc, b_nr, b_nc); |
5164 | 7806 else |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7807 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7808 r = SparseMatrix (a_nr, a_nc, (a.nnz () + b.nnz ())); |
5164 | 7809 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7810 octave_idx_type jx = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7811 r.cidx (0) = 0; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7812 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
|
7813 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7814 octave_idx_type ja = a.cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7815 octave_idx_type ja_max = a.cidx(i+1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7816 bool ja_lt_max= ja < ja_max; |
5164 | 7817 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7818 octave_idx_type jb = b.cidx(i); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7819 octave_idx_type jb_max = b.cidx(i+1); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7820 bool jb_lt_max = jb < jb_max; |
5164 | 7821 |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7822 while (ja_lt_max || jb_lt_max ) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7823 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7824 octave_quit (); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7825 if ((! jb_lt_max) || |
5164 | 7826 (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
|
7827 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7828 double tmp = xmin (a.data(ja), 0.); |
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) = a.ridx(ja); |
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 ja++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7836 ja_lt_max= ja < ja_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 if (( !ja_lt_max ) || |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7839 (jb_lt_max && (b.ridx(jb) < a.ridx(ja)) ) ) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7840 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7841 double tmp = xmin (0., b.data(jb)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7842 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7843 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7844 r.ridx(jx) = b.ridx(jb); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7845 r.data(jx) = tmp; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7846 jx++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7847 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7848 jb++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7849 jb_lt_max= jb < jb_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7850 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7851 else |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7852 { |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7853 double tmp = xmin (a.data(ja), b.data(jb)); |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7854 if (tmp != 0.) |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7855 { |
5164 | 7856 r.data(jx) = tmp; |
7857 r.ridx(jx) = a.ridx(ja); | |
7858 jx++; | |
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7859 } |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7860 ja++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7861 ja_lt_max= ja < ja_max; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7862 jb++; |
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7863 jb_lt_max= jb < jb_max; |
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|
7864 } |
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|
7865 } |
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|
7866 r.cidx(i+1) = jx; |
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|
7867 } |
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|
7868 |
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|
7869 r.maybe_compress (); |
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|
7870 } |
5164 | 7871 } |
7872 else | |
7873 (*current_liboctave_error_handler) ("matrix size mismatch"); | |
7874 | |
7875 return r; | |
7876 } | |
7877 | |
7878 SparseMatrix | |
7879 max (double d, const SparseMatrix& m) | |
7880 { | |
7881 SparseMatrix result; | |
7882 | |
5275 | 7883 octave_idx_type nr = m.rows (); |
7884 octave_idx_type nc = m.columns (); | |
5164 | 7885 |
7886 EMPTY_RETURN_CHECK (SparseMatrix); | |
7887 | |
7888 // Count the number of non-zero elements | |
7889 if (d > 0.) | |
7890 { | |
7891 result = SparseMatrix (nr, nc, d); | |
5275 | 7892 for (octave_idx_type j = 0; j < nc; j++) |
10314
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|
7893 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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|
7894 { |
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|
7895 double tmp = xmax (d, m.data (i)); |
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|
7896 |
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|
7897 if (tmp != 0.) |
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|
7898 { |
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|
7899 octave_idx_type idx = m.ridx(i) + j * nr; |
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untabify liboctave C++ sources
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|
7900 result.xdata(idx) = tmp; |
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untabify liboctave C++ sources
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diff
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|
7901 result.xridx(idx) = m.ridx(i); |
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untabify liboctave C++ sources
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changeset
|
7902 } |
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diff
changeset
|
7903 } |
5164 | 7904 } |
7905 else | |
7906 { | |
5275 | 7907 octave_idx_type nel = 0; |
7908 for (octave_idx_type j = 0; j < nc; j++) | |
10314
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
7909 for (octave_idx_type i = m.cidx(j); i < m.cidx(j+1); i++) |
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|
7910 if (xmax (d, m.data (i)) != 0.) |
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|
7911 nel++; |
5164 | 7912 |
7913 result = SparseMatrix (nr, nc, nel); | |
7914 | |
5275 | 7915 octave_idx_type ii = 0; |
5164 | 7916 result.xcidx(0) = 0; |
5275 | 7917 for (octave_idx_type j = 0; j < nc; j++) |
10314
07ebe522dac2
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|
7918 { |
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|
7919 for (octave_idx_type i = m.cidx(j); i < m.cidx(j+1); i++) |
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|
7920 { |
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|
7921 double tmp = xmax (d, m.data (i)); |
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|
7922 if (tmp != 0.) |
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|
7923 { |
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|
7924 result.xdata(ii) = tmp; |
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|
7925 result.xridx(ii++) = m.ridx(i); |
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|
7926 } |
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changeset
|
7927 } |
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|
7928 result.xcidx(j+1) = ii; |
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|
7929 } |
5164 | 7930 } |
7931 | |
7932 return result; | |
7933 } | |
7934 | |
7935 SparseMatrix | |
7936 max (const SparseMatrix& m, double d) | |
7937 { | |
7938 return max (d, m); | |
7939 } | |
7940 | |
7941 SparseMatrix | |
7942 max (const SparseMatrix& a, const SparseMatrix& b) | |
7943 { | |
7944 SparseMatrix r; | |
7945 | |
7946 if ((a.rows() == b.rows()) && (a.cols() == b.cols())) | |
7947 { | |
5275 | 7948 octave_idx_type a_nr = a.rows (); |
7949 octave_idx_type a_nc = a.cols (); | |
7950 | |
7951 octave_idx_type b_nr = b.rows (); | |
7952 octave_idx_type b_nc = b.cols (); | |
5164 | 7953 |
7954 if (a_nr != b_nr || a_nc != b_nc) | |
10314
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|
7955 gripe_nonconformant ("min", a_nr, a_nc, b_nr, b_nc); |
5164 | 7956 else |
10314
07ebe522dac2
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|
7957 { |
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|
7958 r = SparseMatrix (a_nr, a_nc, (a.nnz () + b.nnz ())); |
5164 | 7959 |
10314
07ebe522dac2
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|
7960 octave_idx_type jx = 0; |
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|
7961 r.cidx (0) = 0; |
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|
7962 for (octave_idx_type i = 0 ; i < a_nc ; i++) |
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|
7963 { |
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|
7964 octave_idx_type ja = a.cidx(i); |
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|
7965 octave_idx_type ja_max = a.cidx(i+1); |
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|
7966 bool ja_lt_max= ja < ja_max; |
5164 | 7967 |
10314
07ebe522dac2
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|
7968 octave_idx_type jb = b.cidx(i); |
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|
7969 octave_idx_type jb_max = b.cidx(i+1); |
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|
7970 bool jb_lt_max = jb < jb_max; |
5164 | 7971 |
10314
07ebe522dac2
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|
7972 while (ja_lt_max || jb_lt_max ) |
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|
7973 { |
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changeset
|
7974 octave_quit (); |
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changeset
|
7975 if ((! jb_lt_max) || |
5164 | 7976 (ja_lt_max && (a.ridx(ja) < b.ridx(jb)))) |
10314
07ebe522dac2
untabify liboctave C++ sources
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|
7977 { |
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|
7978 double tmp = xmax (a.data(ja), 0.); |
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|
7979 if (tmp != 0.) |
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|
7980 { |
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changeset
|
7981 r.ridx(jx) = a.ridx(ja); |
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untabify liboctave C++ sources
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|
7982 r.data(jx) = tmp; |
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|
7983 jx++; |
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changeset
|
7984 } |
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changeset
|
7985 ja++; |
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|
7986 ja_lt_max= ja < ja_max; |
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|
7987 } |
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|
7988 else if (( !ja_lt_max ) || |
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|
7989 (jb_lt_max && (b.ridx(jb) < a.ridx(ja)) ) ) |
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|
7990 { |
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changeset
|
7991 double tmp = xmax (0., b.data(jb)); |
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|
7992 if (tmp != 0.) |
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|
7993 { |
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changeset
|
7994 r.ridx(jx) = b.ridx(jb); |
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untabify liboctave C++ sources
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changeset
|
7995 r.data(jx) = tmp; |
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|
7996 jx++; |
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|
7997 } |
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|
7998 jb++; |
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|
7999 jb_lt_max= jb < jb_max; |
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|
8000 } |
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|
8001 else |
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|
8002 { |
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|
8003 double tmp = xmax (a.data(ja), b.data(jb)); |
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|
8004 if (tmp != 0.) |
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|
8005 { |
5164 | 8006 r.data(jx) = tmp; |
8007 r.ridx(jx) = a.ridx(ja); | |
8008 jx++; | |
10314
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|
8009 } |
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|
8010 ja++; |
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|
8011 ja_lt_max= ja < ja_max; |
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|
8012 jb++; |
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8013 jb_lt_max= jb < jb_max; |
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8014 } |
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|
8015 } |
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8016 r.cidx(i+1) = jx; |
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|
8017 } |
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|
8018 |
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8019 r.maybe_compress (); |
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8020 } |
5164 | 8021 } |
8022 else | |
8023 (*current_liboctave_error_handler) ("matrix size mismatch"); | |
8024 | |
8025 return r; | |
8026 } | |
8027 | |
8028 SPARSE_SMS_CMP_OPS (SparseMatrix, 0.0, , double, 0.0, ) | |
8029 SPARSE_SMS_BOOL_OPS (SparseMatrix, double, 0.0) | |
8030 | |
8031 SPARSE_SSM_CMP_OPS (double, 0.0, , SparseMatrix, 0.0, ) | |
8032 SPARSE_SSM_BOOL_OPS (double, SparseMatrix, 0.0) | |
8033 | |
8034 SPARSE_SMSM_CMP_OPS (SparseMatrix, 0.0, , SparseMatrix, 0.0, ) | |
8035 SPARSE_SMSM_BOOL_OPS (SparseMatrix, SparseMatrix, 0.0) |