Mercurial > hg > octave-nkf
annotate liboctave/CSparse.cc @ 14844:5bc9b9cb4362
maint: Use Octave coding conventions for cuddled parenthesis in retval assignments.
* hello.cc, Array-util.cc, CNDArray.cc, CSparse.cc, Sparse.cc, dNDArray.cc,
dSparse.cc, fCNDArray.cc, fNDArray.cc, lo-specfun.cc, list_primes.m,
rectangle_lw.m, sinetone.m, amd.cc, bsxfun.cc, ccolamd.cc, eigs.cc, lu.cc,
qz.cc, spparms.cc, oct-stream.cc: Use Octave coding conventions for cuddled
parenthesis in retval assignments.
| author | Rik <octave@nomad.inbox5.com> |
|---|---|
| date | Fri, 06 Jul 2012 14:00:25 -0700 |
| parents | 72c96de7a403 |
| children | 460a3c6d8bf1 |
| rev | line source |
|---|---|
| 5164 | 1 /* |
| 2 | |
|
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3 Copyright (C) 2004-2012 David Bateman |
| 11523 | 4 Copyright (C) 1998-2004 Andy Adler |
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5 Copyright (C) 2010 VZLU Prague |
| 7016 | 6 |
| 7 This file is part of Octave. | |
| 5164 | 8 |
| 9 Octave is free software; you can redistribute it and/or modify it | |
| 10 under the terms of the GNU General Public License as published by the | |
| 7016 | 11 Free Software Foundation; either version 3 of the License, or (at your |
| 12 option) any later version. | |
| 5164 | 13 |
| 14 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 17 for more details. | |
| 18 | |
| 19 You should have received a copy of the GNU General Public License | |
| 7016 | 20 along with Octave; see the file COPYING. If not, see |
| 21 <http://www.gnu.org/licenses/>. | |
| 5164 | 22 |
| 23 */ | |
| 24 | |
| 25 #ifdef HAVE_CONFIG_H | |
| 26 #include <config.h> | |
| 27 #endif | |
| 28 | |
| 29 #include <cfloat> | |
| 30 | |
| 31 #include <iostream> | |
| 32 #include <vector> | |
| 33 | |
| 34 #include "quit.h" | |
| 35 #include "lo-ieee.h" | |
| 36 #include "lo-mappers.h" | |
| 37 #include "f77-fcn.h" | |
| 38 #include "dRowVector.h" | |
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39 #include "oct-locbuf.h" |
| 5164 | 40 |
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41 #include "dDiagMatrix.h" |
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42 #include "CDiagMatrix.h" |
| 5164 | 43 #include "CSparse.h" |
| 44 #include "boolSparse.h" | |
| 45 #include "dSparse.h" | |
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46 #include "functor.h" |
| 5164 | 47 #include "oct-spparms.h" |
| 48 #include "SparseCmplxLU.h" | |
| 5451 | 49 #include "oct-sparse.h" |
| 5506 | 50 #include "sparse-util.h" |
| 51 #include "SparseCmplxCHOL.h" | |
| 5610 | 52 #include "SparseCmplxQR.h" |
| 5164 | 53 |
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54 #include "Sparse-diag-op-defs.h" |
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55 |
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56 #include "Sparse-perm-op-defs.h" |
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57 #include "mx-inlines.cc" |
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58 |
| 5681 | 59 // Define whether to use a basic QR solver or one that uses a Dulmange |
| 60 // Mendelsohn factorization to seperate the problem into under-determined, | |
| 61 // well-determined and over-determined parts and solves them seperately | |
| 62 #ifndef USE_QRSOLVE | |
| 63 #include "sparse-dmsolve.cc" | |
| 64 #endif | |
| 65 | |
| 5164 | 66 // Fortran functions we call. |
| 67 extern "C" | |
| 68 { | |
| 69 F77_RET_T | |
| 11518 | 70 F77_FUNC (zgbtrf, ZGBTRF) (const octave_idx_type&, const octave_idx_type&, |
| 71 const octave_idx_type&, const octave_idx_type&, | |
| 72 Complex*, const octave_idx_type&, | |
| 73 octave_idx_type*, octave_idx_type&); | |
| 5164 | 74 |
| 75 F77_RET_T | |
| 11518 | 76 F77_FUNC (zgbtrs, ZGBTRS) (F77_CONST_CHAR_ARG_DECL, |
| 77 const octave_idx_type&, const octave_idx_type&, | |
| 78 const octave_idx_type&, const octave_idx_type&, | |
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79 const Complex*, const octave_idx_type&, |
| 11518 | 80 const octave_idx_type*, Complex*, |
| 81 const octave_idx_type&, octave_idx_type& | |
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82 F77_CHAR_ARG_LEN_DECL); |
| 5164 | 83 |
| 84 F77_RET_T | |
| 11518 | 85 F77_FUNC (zgbcon, ZGBCON) (F77_CONST_CHAR_ARG_DECL, |
| 86 const octave_idx_type&, const octave_idx_type&, | |
| 87 const octave_idx_type&, Complex*, | |
| 88 const octave_idx_type&, const octave_idx_type*, | |
| 89 const double&, double&, Complex*, double*, | |
| 90 octave_idx_type& | |
| 91 F77_CHAR_ARG_LEN_DECL); | |
| 92 | |
| 93 F77_RET_T | |
| 94 F77_FUNC (zpbtrf, ZPBTRF) (F77_CONST_CHAR_ARG_DECL, | |
| 95 const octave_idx_type&, const octave_idx_type&, | |
| 96 Complex*, const octave_idx_type&, octave_idx_type& | |
| 97 F77_CHAR_ARG_LEN_DECL); | |
| 98 | |
| 99 F77_RET_T | |
| 100 F77_FUNC (zpbtrs, ZPBTRS) (F77_CONST_CHAR_ARG_DECL, | |
| 101 const octave_idx_type&, const octave_idx_type&, | |
| 102 const octave_idx_type&, Complex*, | |
| 103 const octave_idx_type&, Complex*, | |
| 104 const octave_idx_type&, octave_idx_type& | |
| 105 F77_CHAR_ARG_LEN_DECL); | |
| 106 | |
| 107 F77_RET_T | |
| 108 F77_FUNC (zpbcon, ZPBCON) (F77_CONST_CHAR_ARG_DECL, | |
| 109 const octave_idx_type&, const octave_idx_type&, | |
| 110 Complex*, const octave_idx_type&, const double&, | |
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111 double&, Complex*, double*, octave_idx_type& |
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112 F77_CHAR_ARG_LEN_DECL); |
| 5164 | 113 |
| 114 F77_RET_T | |
| 11518 | 115 F77_FUNC (zgttrf, ZGTTRF) (const octave_idx_type&, Complex*, Complex*, |
| 116 Complex*, Complex*, octave_idx_type*, | |
| 117 octave_idx_type&); | |
| 5164 | 118 |
| 119 F77_RET_T | |
| 11518 | 120 F77_FUNC (zgttrs, ZGTTRS) (F77_CONST_CHAR_ARG_DECL, |
| 121 const octave_idx_type&, const octave_idx_type&, | |
| 122 const Complex*, const Complex*, const Complex*, | |
| 123 const Complex*, const octave_idx_type*, | |
| 124 Complex *, const octave_idx_type&, | |
| 125 octave_idx_type& | |
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126 F77_CHAR_ARG_LEN_DECL); |
| 5164 | 127 |
| 128 F77_RET_T | |
| 11518 | 129 F77_FUNC (zptsv, ZPTSV) (const octave_idx_type&, const octave_idx_type&, |
| 130 double*, Complex*, Complex*, | |
| 131 const octave_idx_type&, octave_idx_type&); | |
| 5164 | 132 |
| 133 F77_RET_T | |
| 11518 | 134 F77_FUNC (zgtsv, ZGTSV) (const octave_idx_type&, const octave_idx_type&, |
| 135 Complex*, Complex*, Complex*, Complex*, | |
| 136 const octave_idx_type&, octave_idx_type&); | |
| 5164 | 137 } |
| 138 | |
| 139 SparseComplexMatrix::SparseComplexMatrix (const SparseMatrix& a) | |
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140 : MSparse<Complex> (a) |
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141 { |
| 5164 | 142 } |
| 143 | |
| 144 SparseComplexMatrix::SparseComplexMatrix (const SparseBoolMatrix& a) | |
| 5681 | 145 : MSparse<Complex> (a.rows (), a.cols (), a.nnz ()) |
| 5164 | 146 { |
| 5275 | 147 octave_idx_type nc = cols (); |
| 5681 | 148 octave_idx_type nz = a.nnz (); |
| 5275 | 149 |
| 150 for (octave_idx_type i = 0; i < nc + 1; i++) | |
| 5164 | 151 cidx (i) = a.cidx (i); |
| 152 | |
| 5275 | 153 for (octave_idx_type i = 0; i < nz; i++) |
| 5164 | 154 { |
| 5681 | 155 data (i) = Complex (a.data (i)); |
| 5164 | 156 ridx (i) = a.ridx (i); |
| 157 } | |
| 158 } | |
| 159 | |
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160 SparseComplexMatrix::SparseComplexMatrix (const ComplexDiagMatrix& a) |
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161 : MSparse<Complex> (a.rows (), a.cols (), a.length ()) |
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162 { |
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163 octave_idx_type j = 0, l = a.length (); |
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164 for (octave_idx_type i = 0; i < l; i++) |
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165 { |
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166 cidx (i) = j; |
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167 if (a(i, i) != 0.0) |
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168 { |
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169 data (j) = a(i, i); |
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170 ridx (j) = i; |
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171 j++; |
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172 } |
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173 } |
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174 for (octave_idx_type i = l; i <= a.cols (); i++) |
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175 cidx(i) = j; |
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176 } |
| 5164 | 177 bool |
| 178 SparseComplexMatrix::operator == (const SparseComplexMatrix& a) const | |
| 179 { | |
| 5275 | 180 octave_idx_type nr = rows (); |
| 181 octave_idx_type nc = cols (); | |
| 5681 | 182 octave_idx_type nz = nnz (); |
| 5275 | 183 octave_idx_type nr_a = a.rows (); |
| 184 octave_idx_type nc_a = a.cols (); | |
| 5681 | 185 octave_idx_type nz_a = a.nnz (); |
| 5164 | 186 |
| 187 if (nr != nr_a || nc != nc_a || nz != nz_a) | |
| 188 return false; | |
| 189 | |
| 5275 | 190 for (octave_idx_type i = 0; i < nc + 1; i++) |
| 5164 | 191 if (cidx(i) != a.cidx(i)) |
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192 return false; |
| 5164 | 193 |
| 5275 | 194 for (octave_idx_type i = 0; i < nz; i++) |
| 5164 | 195 if (data(i) != a.data(i) || ridx(i) != a.ridx(i)) |
| 196 return false; | |
| 197 | |
| 198 return true; | |
| 199 } | |
| 200 | |
| 201 bool | |
| 202 SparseComplexMatrix::operator != (const SparseComplexMatrix& a) const | |
| 203 { | |
| 204 return !(*this == a); | |
| 205 } | |
| 206 | |
| 207 bool | |
| 208 SparseComplexMatrix::is_hermitian (void) const | |
| 209 { | |
| 5275 | 210 octave_idx_type nr = rows (); |
| 211 octave_idx_type nc = cols (); | |
| 5164 | 212 |
| 6207 | 213 if (nr == nc && nr > 0) |
| 5164 | 214 { |
| 6207 | 215 for (octave_idx_type j = 0; j < nc; j++) |
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216 { |
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217 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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218 { |
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219 octave_idx_type ri = ridx(i); |
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220 |
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221 if (ri != j) |
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222 { |
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223 bool found = false; |
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224 |
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225 for (octave_idx_type k = cidx(ri); k < cidx(ri+1); k++) |
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226 { |
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227 if (ridx(k) == j) |
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228 { |
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229 if (data(i) == conj(data(k))) |
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230 found = true; |
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231 break; |
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232 } |
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233 } |
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234 |
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235 if (! found) |
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236 return false; |
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237 } |
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238 } |
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239 } |
| 5164 | 240 |
| 241 return true; | |
| 242 } | |
| 243 | |
| 244 return false; | |
| 245 } | |
| 246 | |
| 247 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); | |
| 248 | |
| 249 SparseComplexMatrix | |
| 250 SparseComplexMatrix::max (int dim) const | |
| 251 { | |
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252 Array<octave_idx_type> dummy_idx; |
| 5164 | 253 return max (dummy_idx, dim); |
| 254 } | |
| 255 | |
| 256 SparseComplexMatrix | |
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257 SparseComplexMatrix::max (Array<octave_idx_type>& idx_arg, int dim) const |
| 5164 | 258 { |
| 259 SparseComplexMatrix result; | |
| 260 dim_vector dv = dims (); | |
| 261 | |
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262 if (dv.numel () == 0 || dim >= dv.length ()) |
| 5164 | 263 return result; |
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264 |
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265 if (dim < 0) |
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266 dim = dv.first_non_singleton (); |
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267 |
| 5275 | 268 octave_idx_type nr = dv(0); |
| 269 octave_idx_type nc = dv(1); | |
| 5164 | 270 |
| 271 if (dim == 0) | |
| 272 { | |
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273 idx_arg.clear (1, nc); |
| 5275 | 274 octave_idx_type nel = 0; |
| 275 for (octave_idx_type j = 0; j < nc; j++) | |
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276 { |
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277 Complex tmp_max; |
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278 double abs_max = octave_NaN; |
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279 octave_idx_type idx_j = 0; |
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280 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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281 { |
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282 if (ridx(i) != idx_j) |
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283 break; |
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284 else |
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285 idx_j++; |
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286 } |
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287 |
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288 if (idx_j != nr) |
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289 { |
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290 tmp_max = 0.; |
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291 abs_max = 0.; |
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292 } |
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293 |
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294 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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295 { |
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296 Complex tmp = data (i); |
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297 |
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298 if (xisnan (tmp)) |
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299 continue; |
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300 |
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301 double abs_tmp = std::abs (tmp); |
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302 |
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303 if (xisnan (abs_max) || abs_tmp > abs_max) |
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304 { |
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305 idx_j = ridx (i); |
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306 tmp_max = tmp; |
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307 abs_max = abs_tmp; |
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308 } |
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309 } |
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310 |
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311 idx_arg.elem (j) = xisnan (tmp_max) ? 0 : idx_j; |
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312 if (abs_max != 0.) |
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313 nel++; |
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314 } |
| 5164 | 315 |
| 316 result = SparseComplexMatrix (1, nc, nel); | |
| 317 | |
| 5275 | 318 octave_idx_type ii = 0; |
| 5164 | 319 result.xcidx (0) = 0; |
| 5275 | 320 for (octave_idx_type j = 0; j < nc; j++) |
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321 { |
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322 Complex tmp = elem (idx_arg(j), j); |
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323 if (tmp != 0.) |
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324 { |
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325 result.xdata (ii) = tmp; |
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326 result.xridx (ii++) = 0; |
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327 } |
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328 result.xcidx (j+1) = ii; |
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329 } |
| 5164 | 330 } |
| 331 else | |
| 332 { | |
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333 idx_arg.resize (dim_vector (nr, 1), 0); |
| 5164 | 334 |
| 5275 | 335 for (octave_idx_type i = cidx(0); i < cidx(1); i++) |
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336 idx_arg.elem(ridx(i)) = -1; |
| 5164 | 337 |
| 5275 | 338 for (octave_idx_type j = 0; j < nc; j++) |
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339 for (octave_idx_type i = 0; i < nr; i++) |
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340 { |
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341 if (idx_arg.elem(i) != -1) |
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342 continue; |
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343 bool found = false; |
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344 for (octave_idx_type k = cidx(j); k < cidx(j+1); k++) |
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345 if (ridx(k) == i) |
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346 { |
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347 found = true; |
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348 break; |
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349 } |
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350 |
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351 if (!found) |
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352 idx_arg.elem(i) = j; |
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353 |
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354 } |
| 5164 | 355 |
| 5275 | 356 for (octave_idx_type j = 0; j < nc; j++) |
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357 { |
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358 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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359 { |
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360 octave_idx_type ir = ridx (i); |
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361 octave_idx_type ix = idx_arg.elem (ir); |
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362 Complex tmp = data (i); |
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363 |
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364 if (xisnan (tmp)) |
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365 continue; |
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366 else if (ix == -1 || std::abs(tmp) > std::abs(elem (ir, ix))) |
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367 idx_arg.elem (ir) = j; |
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368 } |
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369 } |
| 5164 | 370 |
| 5275 | 371 octave_idx_type nel = 0; |
| 372 for (octave_idx_type j = 0; j < nr; j++) | |
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373 if (idx_arg.elem(j) == -1 || elem (j, idx_arg.elem (j)) != 0.) |
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374 nel++; |
| 5164 | 375 |
| 376 result = SparseComplexMatrix (nr, 1, nel); | |
| 377 | |
| 5275 | 378 octave_idx_type ii = 0; |
| 5164 | 379 result.xcidx (0) = 0; |
| 380 result.xcidx (1) = nel; | |
| 5275 | 381 for (octave_idx_type j = 0; j < nr; j++) |
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382 { |
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383 if (idx_arg(j) == -1) |
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384 { |
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385 idx_arg(j) = 0; |
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386 result.xdata (ii) = Complex_NaN_result; |
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387 result.xridx (ii++) = j; |
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388 } |
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389 else |
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390 { |
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391 Complex tmp = elem (j, idx_arg(j)); |
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392 if (tmp != 0.) |
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393 { |
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394 result.xdata (ii) = tmp; |
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395 result.xridx (ii++) = j; |
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396 } |
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397 } |
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398 } |
| 5164 | 399 } |
| 400 | |
| 401 return result; | |
| 402 } | |
| 403 | |
| 404 SparseComplexMatrix | |
| 405 SparseComplexMatrix::min (int dim) const | |
| 406 { | |
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407 Array<octave_idx_type> dummy_idx; |
| 5164 | 408 return min (dummy_idx, dim); |
| 409 } | |
| 410 | |
| 411 SparseComplexMatrix | |
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412 SparseComplexMatrix::min (Array<octave_idx_type>& idx_arg, int dim) const |
| 5164 | 413 { |
| 414 SparseComplexMatrix result; | |
| 415 dim_vector dv = dims (); | |
| 416 | |
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417 if (dv.numel () == 0 || dim >= dv.length ()) |
| 5164 | 418 return result; |
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419 |
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420 if (dim < 0) |
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421 dim = dv.first_non_singleton (); |
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422 |
| 5275 | 423 octave_idx_type nr = dv(0); |
| 424 octave_idx_type nc = dv(1); | |
| 5164 | 425 |
| 426 if (dim == 0) | |
| 427 { | |
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428 idx_arg.clear (1, nc); |
| 5275 | 429 octave_idx_type nel = 0; |
| 430 for (octave_idx_type j = 0; j < nc; j++) | |
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431 { |
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432 Complex tmp_min; |
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433 double abs_min = octave_NaN; |
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434 octave_idx_type idx_j = 0; |
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435 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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436 { |
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437 if (ridx(i) != idx_j) |
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438 break; |
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439 else |
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440 idx_j++; |
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441 } |
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442 |
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443 if (idx_j != nr) |
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444 { |
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445 tmp_min = 0.; |
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446 abs_min = 0.; |
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447 } |
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448 |
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449 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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450 { |
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451 Complex tmp = data (i); |
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452 |
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453 if (xisnan (tmp)) |
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454 continue; |
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455 |
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456 double abs_tmp = std::abs (tmp); |
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457 |
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458 if (xisnan (abs_min) || abs_tmp < abs_min) |
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459 { |
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460 idx_j = ridx (i); |
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461 tmp_min = tmp; |
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462 abs_min = abs_tmp; |
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463 } |
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464 } |
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465 |
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466 idx_arg.elem (j) = xisnan (tmp_min) ? 0 : idx_j; |
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467 if (abs_min != 0.) |
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468 nel++; |
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469 } |
| 5164 | 470 |
| 471 result = SparseComplexMatrix (1, nc, nel); | |
| 472 | |
| 5275 | 473 octave_idx_type ii = 0; |
| 5164 | 474 result.xcidx (0) = 0; |
| 5275 | 475 for (octave_idx_type j = 0; j < nc; j++) |
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476 { |
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477 Complex tmp = elem (idx_arg(j), j); |
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478 if (tmp != 0.) |
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479 { |
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480 result.xdata (ii) = tmp; |
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481 result.xridx (ii++) = 0; |
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482 } |
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483 result.xcidx (j+1) = ii; |
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484 } |
| 5164 | 485 } |
| 486 else | |
| 487 { | |
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488 idx_arg.resize (dim_vector (nr, 1), 0); |
| 5164 | 489 |
| 5275 | 490 for (octave_idx_type i = cidx(0); i < cidx(1); i++) |
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491 idx_arg.elem(ridx(i)) = -1; |
| 5164 | 492 |
| 5275 | 493 for (octave_idx_type j = 0; j < nc; j++) |
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494 for (octave_idx_type i = 0; i < nr; i++) |
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495 { |
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496 if (idx_arg.elem(i) != -1) |
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497 continue; |
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498 bool found = false; |
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499 for (octave_idx_type k = cidx(j); k < cidx(j+1); k++) |
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500 if (ridx(k) == i) |
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501 { |
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502 found = true; |
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503 break; |
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504 } |
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505 |
|
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506 if (!found) |
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507 idx_arg.elem(i) = j; |
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508 |
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|
509 } |
| 5164 | 510 |
| 5275 | 511 for (octave_idx_type j = 0; j < nc; j++) |
|
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512 { |
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513 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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514 { |
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515 octave_idx_type ir = ridx (i); |
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516 octave_idx_type ix = idx_arg.elem (ir); |
|
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517 Complex tmp = data (i); |
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518 |
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519 if (xisnan (tmp)) |
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520 continue; |
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521 else if (ix == -1 || std::abs(tmp) < std::abs(elem (ir, ix))) |
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522 idx_arg.elem (ir) = j; |
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523 } |
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524 } |
| 5164 | 525 |
| 5275 | 526 octave_idx_type nel = 0; |
| 527 for (octave_idx_type j = 0; j < nr; j++) | |
|
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528 if (idx_arg.elem(j) == -1 || elem (j, idx_arg.elem (j)) != 0.) |
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529 nel++; |
| 5164 | 530 |
| 531 result = SparseComplexMatrix (nr, 1, nel); | |
| 532 | |
| 5275 | 533 octave_idx_type ii = 0; |
| 5164 | 534 result.xcidx (0) = 0; |
| 535 result.xcidx (1) = nel; | |
| 5275 | 536 for (octave_idx_type j = 0; j < nr; j++) |
|
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|
537 { |
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538 if (idx_arg(j) == -1) |
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|
539 { |
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|
540 idx_arg(j) = 0; |
|
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|
541 result.xdata (ii) = Complex_NaN_result; |
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542 result.xridx (ii++) = j; |
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|
543 } |
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|
544 else |
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|
545 { |
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546 Complex tmp = elem (j, idx_arg(j)); |
|
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547 if (tmp != 0.) |
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548 { |
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549 result.xdata (ii) = tmp; |
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550 result.xridx (ii++) = j; |
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551 } |
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|
552 } |
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|
553 } |
| 5164 | 554 } |
| 555 | |
| 556 return result; | |
| 557 } | |
| 558 | |
|
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|
559 ComplexRowVector |
|
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|
560 SparseComplexMatrix::row (octave_idx_type i) const |
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561 { |
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562 octave_idx_type nc = columns (); |
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563 ComplexRowVector retval (nc, 0); |
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564 |
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565 for (octave_idx_type j = 0; j < nc; j++) |
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566 for (octave_idx_type k = cidx (j); k < cidx (j+1); k++) |
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567 { |
|
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568 if (ridx (k) == i) |
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|
569 { |
|
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570 retval(j) = data (k); |
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|
571 break; |
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|
572 } |
|
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|
573 } |
|
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574 |
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575 return retval; |
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576 } |
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577 |
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578 ComplexColumnVector |
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579 SparseComplexMatrix::column (octave_idx_type i) const |
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580 { |
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581 octave_idx_type nr = rows (); |
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582 ComplexColumnVector retval (nr, 0); |
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583 |
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584 for (octave_idx_type k = cidx (i); k < cidx (i+1); k++) |
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585 retval(ridx (k)) = data (k); |
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586 |
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587 return retval; |
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588 } |
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589 |
| 5164 | 590 // destructive insert/delete/reorder operations |
| 591 | |
| 592 SparseComplexMatrix& | |
| 5275 | 593 SparseComplexMatrix::insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c) |
| 5164 | 594 { |
| 595 SparseComplexMatrix tmp (a); | |
| 6060 | 596 return insert (tmp /*a*/, r, c); |
| 5164 | 597 } |
| 598 | |
| 599 SparseComplexMatrix& | |
| 5275 | 600 SparseComplexMatrix::insert (const SparseComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
| 5164 | 601 { |
| 602 MSparse<Complex>::insert (a, r, c); | |
| 603 return *this; | |
| 604 } | |
| 605 | |
| 6823 | 606 SparseComplexMatrix& |
| 607 SparseComplexMatrix::insert (const SparseMatrix& a, const Array<octave_idx_type>& indx) | |
| 608 { | |
| 609 SparseComplexMatrix tmp (a); | |
| 610 return insert (tmp /*a*/, indx); | |
| 611 } | |
| 612 | |
| 613 SparseComplexMatrix& | |
| 614 SparseComplexMatrix::insert (const SparseComplexMatrix& a, const Array<octave_idx_type>& indx) | |
| 615 { | |
| 616 MSparse<Complex>::insert (a, indx); | |
| 617 return *this; | |
| 618 } | |
| 619 | |
| 5164 | 620 SparseComplexMatrix |
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621 SparseComplexMatrix::concat (const SparseComplexMatrix& rb, |
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622 const Array<octave_idx_type>& ra_idx) |
| 5164 | 623 { |
| 624 // Don't use numel to avoid all possiblity of an overflow | |
| 625 if (rb.rows () > 0 && rb.cols () > 0) | |
| 626 insert (rb, ra_idx(0), ra_idx(1)); | |
| 627 return *this; | |
| 628 } | |
| 629 | |
| 630 SparseComplexMatrix | |
| 5275 | 631 SparseComplexMatrix::concat (const SparseMatrix& rb, const Array<octave_idx_type>& ra_idx) |
| 5164 | 632 { |
| 633 SparseComplexMatrix tmp (rb); | |
| 634 if (rb.rows () > 0 && rb.cols () > 0) | |
| 635 insert (tmp, ra_idx(0), ra_idx(1)); | |
| 636 return *this; | |
| 637 } | |
| 638 | |
| 639 ComplexMatrix | |
| 640 SparseComplexMatrix::matrix_value (void) const | |
| 641 { | |
|
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642 return Sparse<Complex>::array_value (); |
| 5164 | 643 } |
| 644 | |
| 645 SparseComplexMatrix | |
| 646 SparseComplexMatrix::hermitian (void) const | |
| 647 { | |
| 5275 | 648 octave_idx_type nr = rows (); |
| 649 octave_idx_type nc = cols (); | |
| 5681 | 650 octave_idx_type nz = nnz (); |
| 5164 | 651 SparseComplexMatrix retval (nc, nr, nz); |
| 652 | |
| 5648 | 653 for (octave_idx_type i = 0; i < nz; i++) |
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654 retval.xcidx (ridx (i) + 1)++; |
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655 // retval.xcidx[1:nr] holds the row degrees for rows 0:(nr-1) |
| 5648 | 656 nz = 0; |
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657 for (octave_idx_type i = 1; i <= nr; i++) |
| 5164 | 658 { |
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659 const octave_idx_type tmp = retval.xcidx (i); |
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660 retval.xcidx (i) = nz; |
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661 nz += tmp; |
| 5164 | 662 } |
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663 // retval.xcidx[1:nr] holds row entry *start* offsets for rows 0:(nr-1) |
| 5648 | 664 |
| 665 for (octave_idx_type j = 0; j < nc; j++) | |
| 666 for (octave_idx_type k = cidx(j); k < cidx(j+1); k++) | |
| 667 { | |
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668 octave_idx_type q = retval.xcidx (ridx (k) + 1)++; |
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669 retval.xridx (q) = j; |
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670 retval.xdata (q) = conj (data (k)); |
| 5648 | 671 } |
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672 assert (nnz () == retval.xcidx (nr)); |
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673 // retval.xcidx[1:nr] holds row entry *end* offsets for rows 0:(nr-1) |
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674 // and retval.xcidx[0:(nr-1)] holds their row entry *start* offsets |
| 5164 | 675 |
| 676 return retval; | |
| 677 } | |
| 678 | |
| 679 SparseComplexMatrix | |
| 680 conj (const SparseComplexMatrix& a) | |
| 681 { | |
| 5275 | 682 octave_idx_type nr = a.rows (); |
| 683 octave_idx_type nc = a.cols (); | |
| 5681 | 684 octave_idx_type nz = a.nnz (); |
| 5164 | 685 SparseComplexMatrix retval (nc, nr, nz); |
| 686 | |
| 5275 | 687 for (octave_idx_type i = 0; i < nc + 1; i++) |
| 5164 | 688 retval.cidx (i) = a.cidx (i); |
| 689 | |
| 5275 | 690 for (octave_idx_type i = 0; i < nz; i++) |
| 5164 | 691 { |
| 692 retval.data (i) = conj (a.data (i)); | |
| 693 retval.ridx (i) = a.ridx (i); | |
| 694 } | |
| 695 | |
| 696 return retval; | |
| 697 } | |
| 698 | |
| 699 SparseComplexMatrix | |
| 700 SparseComplexMatrix::inverse (void) const | |
| 701 { | |
| 5275 | 702 octave_idx_type info; |
| 5164 | 703 double rcond; |
| 5785 | 704 MatrixType mattype (*this); |
| 5506 | 705 return inverse (mattype, info, rcond, 0, 0); |
| 706 } | |
| 707 | |
| 708 SparseComplexMatrix | |
| 5785 | 709 SparseComplexMatrix::inverse (MatrixType& mattype) const |
| 5506 | 710 { |
| 711 octave_idx_type info; | |
| 712 double rcond; | |
| 713 return inverse (mattype, info, rcond, 0, 0); | |
| 5164 | 714 } |
| 715 | |
| 716 SparseComplexMatrix | |
| 5785 | 717 SparseComplexMatrix::inverse (MatrixType& mattype, octave_idx_type& info) const |
| 5164 | 718 { |
| 719 double rcond; | |
| 5506 | 720 return inverse (mattype, info, rcond, 0, 0); |
| 721 } | |
| 722 | |
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723 SparseComplexMatrix |
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724 SparseComplexMatrix::dinverse (MatrixType &mattyp, octave_idx_type& info, |
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725 double& rcond, const bool, |
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726 const bool calccond) const |
| 5506 | 727 { |
| 728 SparseComplexMatrix retval; | |
| 729 | |
| 730 octave_idx_type nr = rows (); | |
| 731 octave_idx_type nc = cols (); | |
| 732 info = 0; | |
| 733 | |
| 734 if (nr == 0 || nc == 0 || nr != nc) | |
| 735 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 736 else | |
| 737 { | |
| 738 // Print spparms("spumoni") info if requested | |
| 739 int typ = mattyp.type (); | |
| 740 mattyp.info (); | |
| 741 | |
| 5785 | 742 if (typ == MatrixType::Diagonal || |
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743 typ == MatrixType::Permuted_Diagonal) |
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744 { |
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745 if (typ == MatrixType::Permuted_Diagonal) |
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746 retval = transpose(); |
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747 else |
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748 retval = *this; |
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749 |
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750 // Force make_unique to be called |
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751 Complex *v = retval.data(); |
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752 |
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753 if (calccond) |
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754 { |
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755 double dmax = 0., dmin = octave_Inf; |
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756 for (octave_idx_type i = 0; i < nr; i++) |
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757 { |
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758 double tmp = std::abs(v[i]); |
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759 if (tmp > dmax) |
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760 dmax = tmp; |
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761 if (tmp < dmin) |
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762 dmin = tmp; |
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763 } |
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764 rcond = dmin / dmax; |
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765 } |
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766 |
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767 for (octave_idx_type i = 0; i < nr; i++) |
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768 v[i] = 1.0 / v[i]; |
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769 } |
| 5506 | 770 else |
|
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771 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5506 | 772 } |
| 773 | |
| 774 return retval; | |
| 775 } | |
| 776 | |
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777 SparseComplexMatrix |
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778 SparseComplexMatrix::tinverse (MatrixType &mattyp, octave_idx_type& info, |
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779 double& rcond, const bool, |
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780 const bool calccond) const |
| 5506 | 781 { |
| 782 SparseComplexMatrix retval; | |
| 783 | |
| 784 octave_idx_type nr = rows (); | |
| 785 octave_idx_type nc = cols (); | |
| 786 info = 0; | |
| 787 | |
| 788 if (nr == 0 || nc == 0 || nr != nc) | |
| 789 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 790 else | |
| 791 { | |
| 792 // Print spparms("spumoni") info if requested | |
| 793 int typ = mattyp.type (); | |
| 794 mattyp.info (); | |
| 795 | |
| 5785 | 796 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper || |
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797 typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
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798 { |
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799 double anorm = 0.; |
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800 double ainvnorm = 0.; |
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801 |
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802 if (calccond) |
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803 { |
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804 // Calculate the 1-norm of matrix for rcond calculation |
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805 for (octave_idx_type j = 0; j < nr; j++) |
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806 { |
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807 double atmp = 0.; |
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808 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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809 atmp += std::abs(data(i)); |
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810 if (atmp > anorm) |
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811 anorm = atmp; |
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812 } |
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813 } |
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814 |
|
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changeset
|
815 if (typ == MatrixType::Upper || typ == MatrixType::Lower) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
816 { |
|
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diff
changeset
|
817 octave_idx_type nz = nnz (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
818 octave_idx_type cx = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
819 octave_idx_type nz2 = nz; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
820 retval = SparseComplexMatrix (nr, nc, nz2); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
821 |
|
07ebe522dac2
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diff
changeset
|
822 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
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10158
diff
changeset
|
823 { |
|
07ebe522dac2
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parents:
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diff
changeset
|
824 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
825 // place the 1 in the identity position |
|
07ebe522dac2
untabify liboctave C++ sources
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|
826 octave_idx_type cx_colstart = cx; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
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changeset
|
827 |
|
10314
07ebe522dac2
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diff
changeset
|
828 if (cx == nz2) |
|
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diff
changeset
|
829 { |
|
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diff
changeset
|
830 nz2 *= 2; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
831 retval.change_capacity (nz2); |
|
07ebe522dac2
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parents:
10158
diff
changeset
|
832 } |
|
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diff
changeset
|
833 |
|
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diff
changeset
|
834 retval.xcidx(i) = cx; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
835 retval.xridx(cx) = i; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
836 retval.xdata(cx) = 1.0; |
|
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diff
changeset
|
837 cx++; |
|
07ebe522dac2
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diff
changeset
|
838 |
|
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diff
changeset
|
839 // iterate accross columns of input matrix |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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|
840 for (octave_idx_type j = i+1; j < nr; j++) |
|
10314
07ebe522dac2
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diff
changeset
|
841 { |
|
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changeset
|
842 Complex v = 0.; |
|
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diff
changeset
|
843 // iterate to calculate sum |
|
07ebe522dac2
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diff
changeset
|
844 octave_idx_type colXp = retval.xcidx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
845 octave_idx_type colUp = cidx(j); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
846 octave_idx_type rpX, rpU; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
847 |
|
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diff
changeset
|
848 if (cidx(j) == cidx(j+1)) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
849 { |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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diff
changeset
|
850 (*current_liboctave_error_handler) |
|
10314
07ebe522dac2
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diff
changeset
|
851 ("division by zero"); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
852 goto inverse_singular; |
|
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parents:
10158
diff
changeset
|
853 } |
|
07ebe522dac2
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diff
changeset
|
854 |
|
07ebe522dac2
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diff
changeset
|
855 do |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
856 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
857 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
858 rpX = retval.xridx(colXp); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
859 rpU = ridx(colUp); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
860 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
861 if (rpX < rpU) |
|
10314
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
862 colXp++; |
|
11586
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strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
863 else if (rpX > rpU) |
|
10314
07ebe522dac2
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diff
changeset
|
864 colUp++; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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diff
changeset
|
865 else |
|
10314
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parents:
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diff
changeset
|
866 { |
|
07ebe522dac2
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diff
changeset
|
867 v -= retval.xdata(colXp) * data(colUp); |
|
07ebe522dac2
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diff
changeset
|
868 colXp++; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
869 colUp++; |
|
07ebe522dac2
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diff
changeset
|
870 } |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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parents:
11574
diff
changeset
|
871 } while ((rpX<j) && (rpU<j) && |
|
10314
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diff
changeset
|
872 (colXp<cx) && (colUp<nz)); |
|
07ebe522dac2
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10158
diff
changeset
|
873 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
874 |
|
07ebe522dac2
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diff
changeset
|
875 // get A(m,m) |
|
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diff
changeset
|
876 if (typ == MatrixType::Upper) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
877 colUp = cidx(j+1) - 1; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
878 else |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
879 colUp = cidx(j); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
880 Complex pivot = data(colUp); |
|
11586
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strip trailing whitespace from source files
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parents:
11574
diff
changeset
|
881 if (pivot == 0. || ridx(colUp) != j) |
|
10314
07ebe522dac2
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parents:
10158
diff
changeset
|
882 { |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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parents:
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diff
changeset
|
883 (*current_liboctave_error_handler) |
|
10314
07ebe522dac2
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10158
diff
changeset
|
884 ("division by zero"); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
885 goto inverse_singular; |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
886 } |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
887 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
888 if (v != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
889 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
890 if (cx == nz2) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
891 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
892 nz2 *= 2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
893 retval.change_capacity (nz2); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
894 } |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
895 |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
896 retval.xridx(cx) = j; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
897 retval.xdata(cx) = v / pivot; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
898 cx++; |
|
07ebe522dac2
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10158
diff
changeset
|
899 } |
|
07ebe522dac2
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10158
diff
changeset
|
900 } |
|
07ebe522dac2
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10158
diff
changeset
|
901 |
|
07ebe522dac2
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10158
diff
changeset
|
902 // get A(m,m) |
|
07ebe522dac2
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10158
diff
changeset
|
903 octave_idx_type colUp; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
904 if (typ == MatrixType::Upper) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
905 colUp = cidx(i+1) - 1; |
|
07ebe522dac2
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10158
diff
changeset
|
906 else |
|
07ebe522dac2
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10158
diff
changeset
|
907 colUp = cidx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
908 Complex pivot = data(colUp); |
|
11586
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strip trailing whitespace from source files
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parents:
11574
diff
changeset
|
909 if (pivot == 0. || ridx(colUp) != i) |
|
10314
07ebe522dac2
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diff
changeset
|
910 { |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
911 (*current_liboctave_error_handler) ("division by zero"); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
912 goto inverse_singular; |
|
07ebe522dac2
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10158
diff
changeset
|
913 } |
|
07ebe522dac2
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10158
diff
changeset
|
914 |
|
07ebe522dac2
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10158
diff
changeset
|
915 if (pivot != 1.0) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
916 for (octave_idx_type j = cx_colstart; j < cx; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
917 retval.xdata(j) /= pivot; |
|
07ebe522dac2
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10158
diff
changeset
|
918 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
919 retval.xcidx(nr) = cx; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
920 retval.maybe_compress (); |
|
07ebe522dac2
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10158
diff
changeset
|
921 } |
|
07ebe522dac2
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parents:
10158
diff
changeset
|
922 else |
|
07ebe522dac2
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parents:
10158
diff
changeset
|
923 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
924 octave_idx_type nz = nnz (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
925 octave_idx_type cx = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
926 octave_idx_type nz2 = nz; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
927 retval = SparseComplexMatrix (nr, nc, nz2); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
928 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
929 OCTAVE_LOCAL_BUFFER (Complex, work, nr); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
930 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nr); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
931 |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
932 octave_idx_type *perm = mattyp.triangular_perm(); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
933 if (typ == MatrixType::Permuted_Upper) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
934 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
935 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
936 rperm[perm[i]] = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
937 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
938 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
939 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
940 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
941 rperm[i] = perm[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
942 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
943 perm[rperm[i]] = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
944 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
945 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
946 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
947 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
948 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
949 octave_idx_type iidx = rperm[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
950 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
951 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
952 work[j] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
953 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
954 // place the 1 in the identity position |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
955 work[iidx] = 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
956 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
957 // iterate accross columns of input matrix |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
958 for (octave_idx_type j = iidx+1; j < nr; j++) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
959 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
960 Complex v = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
961 octave_idx_type jidx = perm[j]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
962 // iterate to calculate sum |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
963 for (octave_idx_type k = cidx(jidx); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
964 k < cidx(jidx+1); k++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
965 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
966 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
967 v -= work[ridx(k)] * data(k); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
968 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
969 |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
970 // get A(m,m) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
971 Complex pivot; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
972 if (typ == MatrixType::Permuted_Upper) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
973 pivot = data(cidx(jidx+1) - 1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
974 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
975 pivot = data(cidx(jidx)); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
976 if (pivot == 0.) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
977 { |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
978 (*current_liboctave_error_handler) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
979 ("division by zero"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
980 goto inverse_singular; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
981 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
982 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
983 work[j] = v / pivot; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
984 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
985 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
986 // get A(m,m) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
987 octave_idx_type colUp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
988 if (typ == MatrixType::Permuted_Upper) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
989 colUp = cidx(perm[iidx]+1) - 1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
990 else |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
991 colUp = cidx(perm[iidx]); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
992 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
993 Complex pivot = data(colUp); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
994 if (pivot == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
995 { |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
996 (*current_liboctave_error_handler) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
997 ("division by zero"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
998 goto inverse_singular; |
|
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 octave_idx_type new_cx = cx; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1002 for (octave_idx_type j = iidx; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1003 if (work[j] != 0.0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1004 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1005 new_cx++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1006 if (pivot != 1.0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1007 work[j] /= pivot; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1008 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1009 |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1010 if (cx < new_cx) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1011 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1012 nz2 = (2*nz2 < new_cx ? new_cx : 2*nz2); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1013 retval.change_capacity (nz2); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1014 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1015 |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1016 retval.xcidx(i) = cx; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1017 for (octave_idx_type j = iidx; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1018 if (work[j] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1019 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1020 retval.xridx(cx) = j; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1021 retval.xdata(cx++) = work[j]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1022 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1023 } |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1024 |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1025 retval.xcidx(nr) = cx; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1026 retval.maybe_compress (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1027 } |
|
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 if (calccond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1030 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1031 // Calculate the 1-norm of inverse matrix for rcond calculation |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1032 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1033 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1034 double atmp = 0.; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
1035 for (octave_idx_type i = retval.cidx(j); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1036 i < retval.cidx(j+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1037 atmp += std::abs(retval.data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1038 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1039 ainvnorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1040 } |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1041 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
1042 rcond = 1. / ainvnorm / anorm; |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1043 } |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1044 } |
| 5506 | 1045 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1046 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5506 | 1047 } |
| 1048 | |
| 1049 return retval; | |
| 5876 | 1050 |
| 1051 inverse_singular: | |
| 1052 return SparseComplexMatrix(); | |
| 5164 | 1053 } |
| 1054 | |
| 1055 SparseComplexMatrix | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
1056 SparseComplexMatrix::inverse (MatrixType& mattype, octave_idx_type& info, |
|
10314
07ebe522dac2
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parents:
10158
diff
changeset
|
1057 double& rcond, int, int calc_cond) const |
| 5506 | 1058 { |
| 1059 int typ = mattype.type (false); | |
| 1060 SparseComplexMatrix ret; | |
| 1061 | |
| 5785 | 1062 if (typ == MatrixType::Unknown) |
| 5506 | 1063 typ = mattype.type (*this); |
| 1064 | |
| 5785 | 1065 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
| 5506 | 1066 ret = dinverse (mattype, info, rcond, true, calc_cond); |
| 5785 | 1067 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
| 5506 | 1068 ret = tinverse (mattype, info, rcond, true, calc_cond).transpose(); |
| 5785 | 1069 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
|
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1070 { |
| 6185 | 1071 MatrixType newtype = mattype.transpose(); |
| 1072 ret = transpose().tinverse (newtype, info, rcond, true, calc_cond); | |
| 1073 } | |
| 6840 | 1074 else |
| 5506 | 1075 { |
| 1076 if (mattype.is_hermitian()) | |
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1077 { |
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1078 MatrixType tmp_typ (MatrixType::Upper); |
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1079 SparseComplexCHOL fact (*this, info, false); |
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1080 rcond = fact.rcond(); |
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1081 if (info == 0) |
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1082 { |
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1083 double rcond2; |
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1084 SparseMatrix Q = fact.Q(); |
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1085 SparseComplexMatrix InvL = fact.L().transpose(). |
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1086 tinverse(tmp_typ, info, rcond2, true, false); |
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1087 ret = Q * InvL.hermitian() * InvL * Q.transpose(); |
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1088 } |
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1089 else |
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1090 { |
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1091 // Matrix is either singular or not positive definite |
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1092 mattype.mark_as_unsymmetric (); |
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1093 typ = MatrixType::Full; |
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1094 } |
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1095 } |
| 5506 | 1096 |
| 1097 if (!mattype.is_hermitian()) | |
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1098 { |
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1099 octave_idx_type n = rows(); |
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1100 ColumnVector Qinit(n); |
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1101 for (octave_idx_type i = 0; i < n; i++) |
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1102 Qinit(i) = i; |
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1103 |
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1104 MatrixType tmp_typ (MatrixType::Upper); |
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1105 SparseComplexLU fact (*this, Qinit, Matrix (), false, false); |
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1106 rcond = fact.rcond(); |
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1107 double rcond2; |
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1108 SparseComplexMatrix InvL = fact.L().transpose(). |
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1109 tinverse(tmp_typ, info, rcond2, true, false); |
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1110 SparseComplexMatrix InvU = fact.U(). |
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1111 tinverse(tmp_typ, info, rcond2, true, false).transpose(); |
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1112 ret = fact.Pc().transpose() * InvU * InvL * fact.Pr(); |
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1113 } |
| 5506 | 1114 } |
| 1115 | |
| 1116 return ret; | |
| 5164 | 1117 } |
| 1118 | |
| 1119 ComplexDET | |
| 1120 SparseComplexMatrix::determinant (void) const | |
| 1121 { | |
| 5275 | 1122 octave_idx_type info; |
| 5164 | 1123 double rcond; |
| 1124 return determinant (info, rcond, 0); | |
| 1125 } | |
| 1126 | |
| 1127 ComplexDET | |
| 5275 | 1128 SparseComplexMatrix::determinant (octave_idx_type& info) const |
| 5164 | 1129 { |
| 1130 double rcond; | |
| 1131 return determinant (info, rcond, 0); | |
| 1132 } | |
| 1133 | |
| 1134 ComplexDET | |
| 5610 | 1135 SparseComplexMatrix::determinant (octave_idx_type& err, double& rcond, int) const |
| 5164 | 1136 { |
| 1137 ComplexDET retval; | |
| 5203 | 1138 #ifdef HAVE_UMFPACK |
| 5164 | 1139 |
| 5275 | 1140 octave_idx_type nr = rows (); |
| 1141 octave_idx_type nc = cols (); | |
| 5164 | 1142 |
| 1143 if (nr == 0 || nc == 0 || nr != nc) | |
| 1144 { | |
| 8335 | 1145 retval = ComplexDET (1.0); |
| 5164 | 1146 } |
| 1147 else | |
| 1148 { | |
| 1149 err = 0; | |
| 1150 | |
| 1151 // Setup the control parameters | |
| 1152 Matrix Control (UMFPACK_CONTROL, 1); | |
| 1153 double *control = Control.fortran_vec (); | |
| 5322 | 1154 UMFPACK_ZNAME (defaults) (control); |
| 5164 | 1155 |
| 5893 | 1156 double tmp = octave_sparse_params::get_key ("spumoni"); |
| 5164 | 1157 if (!xisnan (tmp)) |
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1158 Control (UMFPACK_PRL) = tmp; |
| 5164 | 1159 |
| 5893 | 1160 tmp = octave_sparse_params::get_key ("piv_tol"); |
| 5164 | 1161 if (!xisnan (tmp)) |
|
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1162 { |
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1163 Control (UMFPACK_SYM_PIVOT_TOLERANCE) = tmp; |
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1164 Control (UMFPACK_PIVOT_TOLERANCE) = tmp; |
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1165 } |
| 5164 | 1166 |
| 1167 // Set whether we are allowed to modify Q or not | |
| 5893 | 1168 tmp = octave_sparse_params::get_key ("autoamd"); |
| 5164 | 1169 if (!xisnan (tmp)) |
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1170 Control (UMFPACK_FIXQ) = tmp; |
| 5164 | 1171 |
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1172 // Turn-off UMFPACK scaling for LU |
| 5164 | 1173 Control (UMFPACK_SCALE) = UMFPACK_SCALE_NONE; |
| 1174 | |
| 5322 | 1175 UMFPACK_ZNAME (report_control) (control); |
| 5164 | 1176 |
| 5275 | 1177 const octave_idx_type *Ap = cidx (); |
| 1178 const octave_idx_type *Ai = ridx (); | |
| 5164 | 1179 const Complex *Ax = data (); |
| 1180 | |
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1181 UMFPACK_ZNAME (report_matrix) (nr, nc, Ap, Ai, |
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1182 reinterpret_cast<const double *> (Ax), |
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1183 0, 1, control); |
| 5164 | 1184 |
| 1185 void *Symbolic; | |
| 1186 Matrix Info (1, UMFPACK_INFO); | |
| 1187 double *info = Info.fortran_vec (); | |
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1188 int status = UMFPACK_ZNAME (qsymbolic) |
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1189 (nr, nc, Ap, Ai, reinterpret_cast<const double *> (Ax), 0, |
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1190 0, &Symbolic, control, info); |
| 5164 | 1191 |
| 1192 if (status < 0) | |
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1193 { |
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1194 (*current_liboctave_error_handler) |
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1195 ("SparseComplexMatrix::determinant symbolic factorization failed"); |
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1196 |
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1197 UMFPACK_ZNAME (report_status) (control, status); |
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1198 UMFPACK_ZNAME (report_info) (control, info); |
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1199 |
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1200 UMFPACK_ZNAME (free_symbolic) (&Symbolic) ; |
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1201 } |
| 5164 | 1202 else |
|
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1203 { |
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1204 UMFPACK_ZNAME (report_symbolic) (Symbolic, control); |
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1205 |
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1206 void *Numeric; |
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1207 status |
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1208 = UMFPACK_ZNAME (numeric) (Ap, Ai, |
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1209 reinterpret_cast<const double *> (Ax), |
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1210 0, Symbolic, &Numeric, control, info) ; |
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1211 UMFPACK_ZNAME (free_symbolic) (&Symbolic) ; |
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1212 |
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1213 rcond = Info (UMFPACK_RCOND); |
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1214 |
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1215 if (status < 0) |
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1216 { |
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1217 (*current_liboctave_error_handler) |
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1218 ("SparseComplexMatrix::determinant numeric factorization failed"); |
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1219 |
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1220 UMFPACK_ZNAME (report_status) (control, status); |
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1221 UMFPACK_ZNAME (report_info) (control, info); |
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1222 |
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1223 UMFPACK_ZNAME (free_numeric) (&Numeric); |
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1224 } |
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1225 else |
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1226 { |
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1227 UMFPACK_ZNAME (report_numeric) (Numeric, control); |
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1228 |
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1229 double c10[2], e10; |
| 8335 | 1230 |
| 1231 status = UMFPACK_ZNAME (get_determinant) (c10, 0, &e10, | |
| 1232 Numeric, info); | |
| 5164 | 1233 |
|
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1234 if (status < 0) |
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1235 { |
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1236 (*current_liboctave_error_handler) |
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1237 ("SparseComplexMatrix::determinant error calculating determinant"); |
|
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1238 |
|
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1239 UMFPACK_ZNAME (report_status) (control, status); |
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1240 UMFPACK_ZNAME (report_info) (control, info); |
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1241 } |
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1242 else |
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1243 retval = ComplexDET (Complex (c10[0], c10[1]), e10, 10); |
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1244 |
|
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1245 UMFPACK_ZNAME (free_numeric) (&Numeric); |
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1246 } |
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1247 } |
| 5164 | 1248 } |
| 5203 | 1249 #else |
| 1250 (*current_liboctave_error_handler) ("UMFPACK not installed"); | |
| 1251 #endif | |
| 5164 | 1252 |
| 1253 return retval; | |
| 1254 } | |
| 1255 | |
| 1256 ComplexMatrix | |
| 5785 | 1257 SparseComplexMatrix::dsolve (MatrixType &mattype, const Matrix& b, |
|
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1258 octave_idx_type& err, double& rcond, |
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1259 solve_singularity_handler, bool calc_cond) const |
| 5164 | 1260 { |
| 1261 ComplexMatrix retval; | |
| 1262 | |
| 5275 | 1263 octave_idx_type nr = rows (); |
| 1264 octave_idx_type nc = cols (); | |
| 5630 | 1265 octave_idx_type nm = (nc < nr ? nc : nr); |
| 5164 | 1266 err = 0; |
| 1267 | |
| 6924 | 1268 if (nr != b.rows ()) |
| 5164 | 1269 (*current_liboctave_error_handler) |
| 1270 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1271 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1272 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5164 | 1273 else |
| 1274 { | |
| 1275 // Print spparms("spumoni") info if requested | |
| 1276 int typ = mattype.type (); | |
| 1277 mattype.info (); | |
| 1278 | |
| 5785 | 1279 if (typ == MatrixType::Diagonal || |
|
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1280 typ == MatrixType::Permuted_Diagonal) |
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1281 { |
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1282 retval.resize (nc, b.cols(), Complex(0.,0.)); |
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1283 if (typ == MatrixType::Diagonal) |
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1284 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1285 for (octave_idx_type i = 0; i < nm; i++) |
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1286 retval(i,j) = b(i,j) / data (i); |
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1287 else |
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1288 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1289 for (octave_idx_type k = 0; k < nc; k++) |
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1290 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
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1291 retval(k,j) = b(ridx(i),j) / data (i); |
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1292 |
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1293 if (calc_cond) |
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1294 { |
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1295 double dmax = 0., dmin = octave_Inf; |
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1296 for (octave_idx_type i = 0; i < nm; i++) |
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1297 { |
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1298 double tmp = std::abs(data(i)); |
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1299 if (tmp > dmax) |
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1300 dmax = tmp; |
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1301 if (tmp < dmin) |
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1302 dmin = tmp; |
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1303 } |
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1304 rcond = dmin / dmax; |
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1305 } |
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1306 else |
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1307 rcond = 1.0; |
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1308 } |
| 5164 | 1309 else |
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1310 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 1311 } |
| 1312 | |
| 1313 return retval; | |
| 1314 } | |
| 1315 | |
| 1316 SparseComplexMatrix | |
| 5785 | 1317 SparseComplexMatrix::dsolve (MatrixType &mattype, const SparseMatrix& b, |
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1318 octave_idx_type& err, double& rcond, |
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1319 solve_singularity_handler, |
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1320 bool calc_cond) const |
| 5164 | 1321 { |
| 1322 SparseComplexMatrix retval; | |
| 1323 | |
| 5275 | 1324 octave_idx_type nr = rows (); |
| 1325 octave_idx_type nc = cols (); | |
| 5630 | 1326 octave_idx_type nm = (nc < nr ? nc : nr); |
| 5164 | 1327 err = 0; |
| 1328 | |
| 6924 | 1329 if (nr != b.rows ()) |
| 5164 | 1330 (*current_liboctave_error_handler) |
| 1331 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1332 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1333 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5164 | 1334 else |
| 1335 { | |
| 1336 // Print spparms("spumoni") info if requested | |
| 1337 int typ = mattype.type (); | |
| 1338 mattype.info (); | |
| 1339 | |
| 5785 | 1340 if (typ == MatrixType::Diagonal || |
|
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1341 typ == MatrixType::Permuted_Diagonal) |
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1342 { |
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1343 octave_idx_type b_nc = b.cols (); |
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1344 octave_idx_type b_nz = b.nnz (); |
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1345 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
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1346 |
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1347 retval.xcidx(0) = 0; |
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1348 octave_idx_type ii = 0; |
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1349 if (typ == MatrixType::Diagonal) |
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1350 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1351 { |
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1352 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
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1353 { |
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1354 if (b.ridx(i) >= nm) |
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1355 break; |
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1356 retval.xridx (ii) = b.ridx(i); |
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1357 retval.xdata (ii++) = b.data(i) / data (b.ridx (i)); |
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1358 } |
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1359 retval.xcidx(j+1) = ii; |
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1360 } |
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1361 else |
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1362 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1363 { |
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1364 for (octave_idx_type l = 0; l < nc; l++) |
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1365 for (octave_idx_type i = cidx(l); i < cidx(l+1); i++) |
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1366 { |
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1367 bool found = false; |
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1368 octave_idx_type k; |
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1369 for (k = b.cidx(j); k < b.cidx(j+1); k++) |
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1370 if (ridx(i) == b.ridx(k)) |
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1371 { |
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1372 found = true; |
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1373 break; |
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1374 } |
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1375 if (found) |
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1376 { |
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1377 retval.xridx (ii) = l; |
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1378 retval.xdata (ii++) = b.data(k) / data (i); |
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1379 } |
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1380 } |
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1381 retval.xcidx(j+1) = ii; |
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1382 } |
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1383 |
|
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1384 if (calc_cond) |
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1385 { |
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1386 double dmax = 0., dmin = octave_Inf; |
|
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1387 for (octave_idx_type i = 0; i < nm; i++) |
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1388 { |
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1389 double tmp = std::abs(data(i)); |
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1390 if (tmp > dmax) |
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1391 dmax = tmp; |
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1392 if (tmp < dmin) |
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1393 dmin = tmp; |
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1394 } |
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1395 rcond = dmin / dmax; |
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1396 } |
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1397 else |
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1398 rcond = 1.0; |
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1399 } |
| 5164 | 1400 else |
|
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1401 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 1402 } |
| 1403 | |
| 1404 return retval; | |
| 1405 } | |
| 1406 | |
| 1407 ComplexMatrix | |
| 5785 | 1408 SparseComplexMatrix::dsolve (MatrixType &mattype, const ComplexMatrix& b, |
|
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1409 octave_idx_type& err, double& rcond, |
|
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1410 solve_singularity_handler, |
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1411 bool calc_cond) const |
| 5164 | 1412 { |
| 1413 ComplexMatrix retval; | |
| 1414 | |
| 5275 | 1415 octave_idx_type nr = rows (); |
| 1416 octave_idx_type nc = cols (); | |
| 5630 | 1417 octave_idx_type nm = (nc < nr ? nc : nr); |
| 5164 | 1418 err = 0; |
| 1419 | |
| 6924 | 1420 if (nr != b.rows ()) |
| 5164 | 1421 (*current_liboctave_error_handler) |
| 1422 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1423 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1424 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5164 | 1425 else |
| 1426 { | |
| 1427 // Print spparms("spumoni") info if requested | |
| 1428 int typ = mattype.type (); | |
| 1429 mattype.info (); | |
| 1430 | |
| 5785 | 1431 if (typ == MatrixType::Diagonal || |
|
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1432 typ == MatrixType::Permuted_Diagonal) |
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1433 { |
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1434 retval.resize (nc, b.cols(), Complex(0.,0.)); |
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1435 if (typ == MatrixType::Diagonal) |
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1436 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1437 for (octave_idx_type i = 0; i < nm; i++) |
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1438 retval(i,j) = b(i,j) / data (i); |
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1439 else |
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1440 for (octave_idx_type j = 0; j < b.cols(); j++) |
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1441 for (octave_idx_type k = 0; k < nc; k++) |
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1442 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
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1443 retval(k,j) = b(ridx(i),j) / data (i); |
|
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1444 |
|
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1445 if (calc_cond) |
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1446 { |
|
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1447 double dmax = 0., dmin = octave_Inf; |
|
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1448 for (octave_idx_type i = 0; i < nr; i++) |
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1449 { |
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1450 double tmp = std::abs(data(i)); |
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1451 if (tmp > dmax) |
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1452 dmax = tmp; |
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1453 if (tmp < dmin) |
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1454 dmin = tmp; |
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1455 } |
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1456 rcond = dmin / dmax; |
|
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1457 } |
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|
1458 else |
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1459 rcond = 1.0; |
|
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1460 } |
| 5164 | 1461 else |
|
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|
1462 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 1463 } |
| 1464 | |
| 1465 return retval; | |
| 1466 } | |
| 1467 | |
| 1468 SparseComplexMatrix | |
| 5785 | 1469 SparseComplexMatrix::dsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
|
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1470 octave_idx_type& err, double& rcond, |
|
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1471 solve_singularity_handler, |
|
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1472 bool calc_cond) const |
| 5164 | 1473 { |
| 1474 SparseComplexMatrix retval; | |
| 1475 | |
| 5275 | 1476 octave_idx_type nr = rows (); |
| 1477 octave_idx_type nc = cols (); | |
| 5630 | 1478 octave_idx_type nm = (nc < nr ? nc : nr); |
| 5164 | 1479 err = 0; |
| 1480 | |
| 6924 | 1481 if (nr != b.rows ()) |
| 5164 | 1482 (*current_liboctave_error_handler) |
| 1483 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1484 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1485 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5164 | 1486 else |
| 1487 { | |
| 1488 // Print spparms("spumoni") info if requested | |
| 1489 int typ = mattype.type (); | |
| 1490 mattype.info (); | |
| 1491 | |
| 5785 | 1492 if (typ == MatrixType::Diagonal || |
|
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1493 typ == MatrixType::Permuted_Diagonal) |
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1494 { |
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1495 octave_idx_type b_nc = b.cols (); |
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1496 octave_idx_type b_nz = b.nnz (); |
|
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1497 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
|
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1498 |
|
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1499 retval.xcidx(0) = 0; |
|
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1500 octave_idx_type ii = 0; |
|
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1501 if (typ == MatrixType::Diagonal) |
|
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1502 for (octave_idx_type j = 0; j < b.cols(); j++) |
|
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1503 { |
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1504 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
|
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|
1505 { |
|
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1506 if (b.ridx(i) >= nm) |
|
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|
1507 break; |
|
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1508 retval.xridx (ii) = b.ridx(i); |
|
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1509 retval.xdata (ii++) = b.data(i) / data (b.ridx (i)); |
|
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|
1510 } |
|
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|
1511 retval.xcidx(j+1) = ii; |
|
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|
1512 } |
|
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|
1513 else |
|
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1514 for (octave_idx_type j = 0; j < b.cols(); j++) |
|
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|
1515 { |
|
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|
1516 for (octave_idx_type l = 0; l < nc; l++) |
|
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|
1517 for (octave_idx_type i = cidx(l); i < cidx(l+1); i++) |
|
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|
1518 { |
|
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|
1519 bool found = false; |
|
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|
1520 octave_idx_type k; |
|
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|
1521 for (k = b.cidx(j); k < b.cidx(j+1); k++) |
|
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1522 if (ridx(i) == b.ridx(k)) |
|
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|
1523 { |
|
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1524 found = true; |
|
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|
1525 break; |
|
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|
1526 } |
|
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|
1527 if (found) |
|
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|
1528 { |
|
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|
1529 retval.xridx (ii) = l; |
|
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1530 retval.xdata (ii++) = b.data(k) / data (i); |
|
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|
1531 } |
|
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|
1532 } |
|
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|
1533 retval.xcidx(j+1) = ii; |
|
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|
1534 } |
|
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1535 |
|
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|
1536 if (calc_cond) |
|
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1537 { |
|
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1538 double dmax = 0., dmin = octave_Inf; |
|
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|
1539 for (octave_idx_type i = 0; i < nm; i++) |
|
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|
1540 { |
|
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|
1541 double tmp = std::abs(data(i)); |
|
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|
1542 if (tmp > dmax) |
|
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|
1543 dmax = tmp; |
|
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|
1544 if (tmp < dmin) |
|
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|
1545 dmin = tmp; |
|
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|
1546 } |
|
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|
1547 rcond = dmin / dmax; |
|
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|
1548 } |
|
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|
1549 else |
|
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|
1550 rcond = 1.0; |
|
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|
1551 } |
| 5164 | 1552 else |
|
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|
1553 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 1554 } |
| 1555 | |
| 1556 return retval; | |
| 1557 } | |
| 1558 | |
| 1559 ComplexMatrix | |
| 5785 | 1560 SparseComplexMatrix::utsolve (MatrixType &mattype, const Matrix& b, |
|
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|
1561 octave_idx_type& err, double& rcond, |
|
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|
1562 solve_singularity_handler sing_handler, |
|
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|
1563 bool calc_cond) const |
| 5164 | 1564 { |
| 1565 ComplexMatrix 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 = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 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::Permuted_Upper || |
|
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|
1584 typ == MatrixType::Upper) |
|
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|
1585 { |
|
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|
1586 double anorm = 0.; |
|
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1587 double ainvnorm = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1588 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1589 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1590 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1591 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1592 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1593 // Calculate the 1-norm of matrix for rcond calculation |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1594 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
1595 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1596 double atmp = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1597 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
1598 atmp += std::abs(data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1599 if (atmp > anorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1600 anorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1601 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1602 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1603 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1604 if (typ == MatrixType::Permuted_Upper) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1605 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1606 retval.resize (nc, b_nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1607 octave_idx_type *perm = mattype.triangular_perm (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1608 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1609 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1610 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
|
1611 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1612 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1613 work[i] = b(i,j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1614 for (octave_idx_type i = nr; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1615 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1616 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1617 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
|
1618 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1619 octave_idx_type kidx = perm[k]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1620 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1621 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1622 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1623 if (ridx(cidx(kidx+1)-1) != k || |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1624 data(cidx(kidx+1)-1) == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1625 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1626 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1627 goto triangular_error; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
1628 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
1629 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1630 Complex tmp = work[k] / data(cidx(kidx+1)-1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1631 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
1632 for (octave_idx_type i = cidx(kidx); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1633 i < cidx(kidx+1)-1; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1634 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1635 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1636 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
1637 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1638 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1639 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1640 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1641 for (octave_idx_type i = 0; i < nc; i++) |
|
14844
5bc9b9cb4362
maint: Use Octave coding conventions for cuddled parenthesis in retval assignments.
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
1642 retval(perm[i], j) = work[i]; |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1643 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1644 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1645 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1646 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1647 // Calculation of 1-norm of inv(*this) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1648 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1649 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1650 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1651 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1652 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1653 work[j] = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1654 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1655 for (octave_idx_type k = j; k >= 0; k--) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1656 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1657 octave_idx_type iidx = perm[k]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1658 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1659 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1660 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1661 Complex tmp = work[k] / data(cidx(iidx+1)-1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1662 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
1663 for (octave_idx_type i = cidx(iidx); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1664 i < cidx(iidx+1)-1; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1665 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1666 octave_idx_type idx2 = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1667 work[idx2] = work[idx2] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1668 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1669 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1670 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1671 double atmp = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1672 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
|
1673 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1674 atmp += std::abs(work[i]); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1675 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1676 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1677 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1678 ainvnorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1679 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1680 rcond = 1. / ainvnorm / anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1681 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1682 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1683 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1684 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1685 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1686 retval.resize (nc, b_nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1687 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1688 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
|
1689 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1690 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1691 work[i] = b(i,j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1692 for (octave_idx_type i = nr; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1693 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1694 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1695 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
|
1696 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1697 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1698 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1699 if (ridx(cidx(k+1)-1) != k || |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1700 data(cidx(k+1)-1) == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1701 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
1702 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
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|
1703 goto triangular_error; |
|
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1704 } |
|
10314
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1705 |
|
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|
1706 Complex tmp = work[k] / data(cidx(k+1)-1); |
|
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|
1707 work[k] = tmp; |
|
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1708 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
|
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|
1709 { |
|
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|
1710 octave_idx_type iidx = ridx(i); |
|
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|
1711 work[iidx] = work[iidx] - tmp * data(i); |
|
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|
1712 } |
|
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|
1713 } |
|
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|
1714 } |
|
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|
1715 |
|
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|
1716 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1717 retval.xelem (i, j) = work[i]; |
|
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|
1718 } |
|
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|
1719 |
|
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|
1720 if (calc_cond) |
|
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|
1721 { |
|
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|
1722 // Calculation of 1-norm of inv(*this) |
|
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|
1723 for (octave_idx_type i = 0; i < nm; i++) |
|
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|
1724 work[i] = 0.; |
|
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|
1725 |
|
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|
1726 for (octave_idx_type j = 0; j < nr; j++) |
|
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|
1727 { |
|
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|
1728 work[j] = 1.; |
|
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|
1729 |
|
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|
1730 for (octave_idx_type k = j; k >= 0; k--) |
|
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|
1731 { |
|
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|
1732 if (work[k] != 0.) |
|
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|
1733 { |
|
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|
1734 Complex tmp = work[k] / data(cidx(k+1)-1); |
|
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|
1735 work[k] = tmp; |
|
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1736 for (octave_idx_type i = cidx(k); |
|
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1737 i < cidx(k+1)-1; i++) |
|
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|
1738 { |
|
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|
1739 octave_idx_type iidx = ridx(i); |
|
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1740 work[iidx] = work[iidx] - tmp * data(i); |
|
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|
1741 } |
|
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|
1742 } |
|
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|
1743 } |
|
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|
1744 double atmp = 0; |
|
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|
1745 for (octave_idx_type i = 0; i < j+1; i++) |
|
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|
1746 { |
|
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|
1747 atmp += std::abs(work[i]); |
|
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|
1748 work[i] = 0.; |
|
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|
1749 } |
|
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|
1750 if (atmp > ainvnorm) |
|
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|
1751 ainvnorm = atmp; |
|
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|
1752 } |
|
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|
1753 rcond = 1. / ainvnorm / anorm; |
|
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|
1754 } |
|
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|
1755 } |
|
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|
1756 |
|
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|
1757 triangular_error: |
|
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|
1758 if (err != 0) |
|
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|
1759 { |
|
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|
1760 if (sing_handler) |
|
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|
1761 { |
|
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|
1762 sing_handler (rcond); |
|
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|
1763 mattype.mark_as_rectangular (); |
|
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|
1764 } |
|
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|
1765 else |
|
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|
1766 (*current_liboctave_error_handler) |
|
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1767 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
|
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|
1768 rcond); |
|
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|
1769 } |
|
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|
1770 |
|
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1771 volatile double rcond_plus_one = rcond + 1.0; |
|
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|
1772 |
|
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|
1773 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
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|
1774 { |
|
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|
1775 err = -2; |
|
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|
1776 |
|
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|
1777 if (sing_handler) |
|
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|
1778 { |
|
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|
1779 sing_handler (rcond); |
|
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|
1780 mattype.mark_as_rectangular (); |
|
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|
1781 } |
|
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|
1782 else |
|
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|
1783 (*current_liboctave_error_handler) |
|
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|
1784 ("matrix singular to machine precision, rcond = %g", |
|
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|
1785 rcond); |
|
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|
1786 } |
|
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|
1787 } |
| 5164 | 1788 else |
|
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|
1789 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 1790 } |
| 1791 | |
| 1792 return retval; | |
| 1793 } | |
| 1794 | |
| 1795 SparseComplexMatrix | |
| 5785 | 1796 SparseComplexMatrix::utsolve (MatrixType &mattype, const SparseMatrix& b, |
|
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1797 octave_idx_type& err, double& rcond, |
|
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|
1798 solve_singularity_handler sing_handler, |
|
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|
1799 bool calc_cond) const |
| 5164 | 1800 { |
| 1801 SparseComplexMatrix retval; | |
| 1802 | |
| 5275 | 1803 octave_idx_type nr = rows (); |
| 1804 octave_idx_type nc = cols (); | |
| 5630 | 1805 octave_idx_type nm = (nc > nr ? nc : nr); |
| 5164 | 1806 err = 0; |
| 1807 | |
| 6924 | 1808 if (nr != b.rows ()) |
| 5164 | 1809 (*current_liboctave_error_handler) |
| 1810 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1811 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1812 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5164 | 1813 else |
| 1814 { | |
| 1815 // Print spparms("spumoni") info if requested | |
| 1816 int typ = mattype.type (); | |
| 1817 mattype.info (); | |
| 1818 | |
| 5785 | 1819 if (typ == MatrixType::Permuted_Upper || |
|
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|
1820 typ == MatrixType::Upper) |
|
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|
1821 { |
|
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|
1822 double anorm = 0.; |
|
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|
1823 double ainvnorm = 0.; |
|
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|
1824 rcond = 1.; |
|
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|
1825 |
|
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|
1826 if (calc_cond) |
|
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|
1827 { |
|
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|
1828 // Calculate the 1-norm of matrix for rcond calculation |
|
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|
1829 for (octave_idx_type j = 0; j < nc; j++) |
|
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|
1830 { |
|
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|
1831 double atmp = 0.; |
|
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|
1832 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
|
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|
1833 atmp += std::abs(data(i)); |
|
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|
1834 if (atmp > anorm) |
|
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|
1835 anorm = atmp; |
|
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|
1836 } |
|
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|
1837 } |
|
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|
1838 |
|
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1839 octave_idx_type b_nc = b.cols (); |
|
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|
1840 octave_idx_type b_nz = b.nnz (); |
|
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|
1841 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
|
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|
1842 retval.xcidx(0) = 0; |
|
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|
1843 octave_idx_type ii = 0; |
|
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1844 octave_idx_type x_nz = b_nz; |
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1845 |
|
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1846 if (typ == MatrixType::Permuted_Upper) |
|
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1847 { |
|
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1848 octave_idx_type *perm = mattype.triangular_perm (); |
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1849 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
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1850 |
|
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1851 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nc); |
|
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1852 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1853 rperm[perm[i]] = i; |
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1854 |
|
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1855 for (octave_idx_type j = 0; j < b_nc; j++) |
|
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|
1856 { |
|
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|
1857 for (octave_idx_type i = 0; i < nm; i++) |
|
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|
1858 work[i] = 0.; |
|
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1859 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
|
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|
1860 work[b.ridx(i)] = b.data(i); |
|
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1861 |
|
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|
1862 for (octave_idx_type k = nc-1; k >= 0; k--) |
|
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|
1863 { |
|
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|
1864 octave_idx_type kidx = perm[k]; |
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1865 |
|
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|
1866 if (work[k] != 0.) |
|
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1867 { |
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1868 if (ridx(cidx(kidx+1)-1) != k || |
|
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1869 data(cidx(kidx+1)-1) == 0.) |
|
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|
1870 { |
|
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1871 err = -2; |
|
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1872 goto triangular_error; |
|
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1873 } |
|
10314
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|
1874 |
|
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1875 Complex tmp = work[k] / data(cidx(kidx+1)-1); |
|
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|
1876 work[k] = tmp; |
|
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1877 for (octave_idx_type i = cidx(kidx); |
|
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1878 i < cidx(kidx+1)-1; i++) |
|
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|
1879 { |
|
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|
1880 octave_idx_type iidx = ridx(i); |
|
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|
1881 work[iidx] = work[iidx] - tmp * data(i); |
|
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1882 } |
|
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|
1883 } |
|
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|
1884 } |
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|
1885 |
|
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1886 // Count non-zeros in work vector and adjust space in |
|
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|
1887 // retval if needed |
|
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1888 octave_idx_type new_nnz = 0; |
|
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1889 for (octave_idx_type i = 0; i < nc; i++) |
|
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1890 if (work[i] != 0.) |
|
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|
1891 new_nnz++; |
|
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|
1892 |
|
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1893 if (ii + new_nnz > x_nz) |
|
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|
1894 { |
|
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1895 // Resize the sparse matrix |
|
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1896 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
|
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|
1897 retval.change_capacity (sz); |
|
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|
1898 x_nz = sz; |
|
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1899 } |
|
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|
1900 |
|
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|
1901 for (octave_idx_type i = 0; i < nc; i++) |
|
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1902 if (work[rperm[i]] != 0.) |
|
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1903 { |
|
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1904 retval.xridx(ii) = i; |
|
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1905 retval.xdata(ii++) = work[rperm[i]]; |
|
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1906 } |
|
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1907 retval.xcidx(j+1) = ii; |
|
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1908 } |
|
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|
1909 |
|
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|
1910 retval.maybe_compress (); |
|
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1911 |
|
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|
1912 if (calc_cond) |
|
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|
1913 { |
|
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1914 // Calculation of 1-norm of inv(*this) |
|
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1915 for (octave_idx_type i = 0; i < nm; i++) |
|
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|
1916 work[i] = 0.; |
|
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1917 |
|
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1918 for (octave_idx_type j = 0; j < nr; j++) |
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|
1919 { |
|
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|
1920 work[j] = 1.; |
|
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1921 |
|
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1922 for (octave_idx_type k = j; k >= 0; k--) |
|
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1923 { |
|
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|
1924 octave_idx_type iidx = perm[k]; |
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|
1925 |
|
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|
1926 if (work[k] != 0.) |
|
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|
1927 { |
|
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|
1928 Complex tmp = work[k] / data(cidx(iidx+1)-1); |
|
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1929 work[k] = tmp; |
|
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1930 for (octave_idx_type i = cidx(iidx); |
|
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|
1931 i < cidx(iidx+1)-1; i++) |
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1932 { |
|
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1933 octave_idx_type idx2 = ridx(i); |
|
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1934 work[idx2] = work[idx2] - tmp * data(i); |
|
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|
1935 } |
|
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|
1936 } |
|
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|
1937 } |
|
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1938 double atmp = 0; |
|
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1939 for (octave_idx_type i = 0; i < j+1; i++) |
|
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|
1940 { |
|
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|
1941 atmp += std::abs(work[i]); |
|
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|
1942 work[i] = 0.; |
|
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|
1943 } |
|
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|
1944 if (atmp > ainvnorm) |
|
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|
1945 ainvnorm = atmp; |
|
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|
1946 } |
|
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|
1947 rcond = 1. / ainvnorm / anorm; |
|
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|
1948 } |
|
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|
1949 } |
|
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|
1950 else |
|
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|
1951 { |
|
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|
1952 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
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|
1953 |
|
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|
1954 for (octave_idx_type j = 0; j < b_nc; j++) |
|
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|
1955 { |
|
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|
1956 for (octave_idx_type i = 0; i < nm; i++) |
|
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|
1957 work[i] = 0.; |
|
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|
1958 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
|
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1959 work[b.ridx(i)] = b.data(i); |
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1960 |
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1961 for (octave_idx_type k = nc-1; k >= 0; k--) |
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1962 { |
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1963 if (work[k] != 0.) |
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1964 { |
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1965 if (ridx(cidx(k+1)-1) != k || |
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1966 data(cidx(k+1)-1) == 0.) |
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1967 { |
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1968 err = -2; |
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1969 goto triangular_error; |
|
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1970 } |
|
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1971 |
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1972 Complex tmp = work[k] / data(cidx(k+1)-1); |
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1973 work[k] = tmp; |
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1974 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
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1975 { |
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1976 octave_idx_type iidx = ridx(i); |
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1977 work[iidx] = work[iidx] - tmp * data(i); |
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1978 } |
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1979 } |
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1980 } |
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|
1981 |
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1982 // Count non-zeros in work vector and adjust space in |
|
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1983 // retval if needed |
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1984 octave_idx_type new_nnz = 0; |
|
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1985 for (octave_idx_type i = 0; i < nc; i++) |
|
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1986 if (work[i] != 0.) |
|
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1987 new_nnz++; |
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1988 |
|
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1989 if (ii + new_nnz > x_nz) |
|
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1990 { |
|
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1991 // Resize the sparse matrix |
|
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1992 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
|
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1993 retval.change_capacity (sz); |
|
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|
1994 x_nz = sz; |
|
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|
1995 } |
|
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|
1996 |
|
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1997 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1998 if (work[i] != 0.) |
|
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1999 { |
|
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|
2000 retval.xridx(ii) = i; |
|
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2001 retval.xdata(ii++) = work[i]; |
|
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|
2002 } |
|
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|
2003 retval.xcidx(j+1) = ii; |
|
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|
2004 } |
|
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|
2005 |
|
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|
2006 retval.maybe_compress (); |
|
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|
2007 |
|
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|
2008 if (calc_cond) |
|
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|
2009 { |
|
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|
2010 // Calculation of 1-norm of inv(*this) |
|
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|
2011 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
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|
2012 work[i] = 0.; |
|
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|
2013 |
|
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|
2014 for (octave_idx_type j = 0; j < nr; j++) |
|
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|
2015 { |
|
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|
2016 work[j] = 1.; |
|
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|
2017 |
|
07ebe522dac2
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|
2018 for (octave_idx_type k = j; k >= 0; k--) |
|
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|
2019 { |
|
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|
2020 if (work[k] != 0.) |
|
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|
2021 { |
|
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changeset
|
2022 Complex tmp = work[k] / data(cidx(k+1)-1); |
|
07ebe522dac2
untabify liboctave C++ sources
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|
2023 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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|
2024 for (octave_idx_type i = cidx(k); |
|
10314
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|
2025 i < cidx(k+1)-1; i++) |
|
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changeset
|
2026 { |
|
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changeset
|
2027 octave_idx_type iidx = ridx(i); |
|
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changeset
|
2028 work[iidx] = work[iidx] - tmp * data(i); |
|
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changeset
|
2029 } |
|
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changeset
|
2030 } |
|
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changeset
|
2031 } |
|
07ebe522dac2
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changeset
|
2032 double atmp = 0; |
|
07ebe522dac2
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changeset
|
2033 for (octave_idx_type i = 0; i < j+1; i++) |
|
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changeset
|
2034 { |
|
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changeset
|
2035 atmp += std::abs(work[i]); |
|
07ebe522dac2
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changeset
|
2036 work[i] = 0.; |
|
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changeset
|
2037 } |
|
07ebe522dac2
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changeset
|
2038 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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changeset
|
2039 ainvnorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2040 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2041 rcond = 1. / ainvnorm / anorm; |
|
07ebe522dac2
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changeset
|
2042 } |
|
07ebe522dac2
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10158
diff
changeset
|
2043 } |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2044 |
|
07ebe522dac2
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changeset
|
2045 triangular_error: |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2046 if (err != 0) |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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changeset
|
2047 { |
|
07ebe522dac2
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changeset
|
2048 if (sing_handler) |
|
07ebe522dac2
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10158
diff
changeset
|
2049 { |
|
07ebe522dac2
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10158
diff
changeset
|
2050 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
2051 mattype.mark_as_rectangular (); |
|
07ebe522dac2
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diff
changeset
|
2052 } |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2053 else |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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changeset
|
2054 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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changeset
|
2055 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2056 rcond); |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2057 } |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2058 |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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changeset
|
2059 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
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diff
changeset
|
2060 |
|
07ebe522dac2
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diff
changeset
|
2061 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2062 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2063 err = -2; |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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changeset
|
2064 |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2065 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2066 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2067 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2068 mattype.mark_as_rectangular (); |
|
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10158
diff
changeset
|
2069 } |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2070 else |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2071 (*current_liboctave_error_handler) |
|
07ebe522dac2
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changeset
|
2072 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2073 rcond); |
|
07ebe522dac2
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diff
changeset
|
2074 } |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2075 } |
| 5164 | 2076 else |
|
10314
07ebe522dac2
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parents:
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diff
changeset
|
2077 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 2078 } |
| 2079 return retval; | |
| 2080 } | |
| 2081 | |
| 2082 ComplexMatrix | |
| 5785 | 2083 SparseComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
|
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2084 octave_idx_type& err, double& rcond, |
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2085 solve_singularity_handler sing_handler, |
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2086 bool calc_cond) const |
| 5164 | 2087 { |
| 2088 ComplexMatrix retval; | |
| 2089 | |
| 5275 | 2090 octave_idx_type nr = rows (); |
| 2091 octave_idx_type nc = cols (); | |
| 5630 | 2092 octave_idx_type nm = (nc > nr ? nc : nr); |
| 5164 | 2093 err = 0; |
| 2094 | |
| 6924 | 2095 if (nr != b.rows ()) |
| 5164 | 2096 (*current_liboctave_error_handler) |
| 2097 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2098 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 2099 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5164 | 2100 else |
| 2101 { | |
| 2102 // Print spparms("spumoni") info if requested | |
| 2103 int typ = mattype.type (); | |
| 2104 mattype.info (); | |
|
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2105 |
| 5785 | 2106 if (typ == MatrixType::Permuted_Upper || |
|
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2107 typ == MatrixType::Upper) |
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2108 { |
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2109 double anorm = 0.; |
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2110 double ainvnorm = 0.; |
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2111 octave_idx_type b_nc = b.cols (); |
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2112 rcond = 1.; |
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2113 |
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2114 if (calc_cond) |
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2115 { |
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2116 // Calculate the 1-norm of matrix for rcond calculation |
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2117 for (octave_idx_type j = 0; j < nc; j++) |
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2118 { |
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2119 double atmp = 0.; |
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2120 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
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2121 atmp += std::abs(data(i)); |
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2122 if (atmp > anorm) |
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2123 anorm = atmp; |
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2124 } |
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2125 } |
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2126 |
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2127 if (typ == MatrixType::Permuted_Upper) |
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2128 { |
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2129 retval.resize (nc, b_nc); |
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2130 octave_idx_type *perm = mattype.triangular_perm (); |
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2131 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
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2132 |
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2133 for (octave_idx_type j = 0; j < b_nc; j++) |
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2134 { |
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2135 for (octave_idx_type i = 0; i < nr; i++) |
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2136 work[i] = b(i,j); |
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2137 for (octave_idx_type i = nr; i < nc; i++) |
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2138 work[i] = 0.; |
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2139 |
|
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2140 for (octave_idx_type k = nc-1; k >= 0; k--) |
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2141 { |
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2142 octave_idx_type kidx = perm[k]; |
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2143 |
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2144 if (work[k] != 0.) |
|
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2145 { |
|
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2146 if (ridx(cidx(kidx+1)-1) != k || |
|
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2147 data(cidx(kidx+1)-1) == 0.) |
|
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2148 { |
|
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2149 err = -2; |
|
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2150 goto triangular_error; |
|
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2151 } |
|
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2152 |
|
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|
2153 Complex tmp = work[k] / data(cidx(kidx+1)-1); |
|
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2154 work[k] = tmp; |
|
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2155 for (octave_idx_type i = cidx(kidx); |
|
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|
2156 i < cidx(kidx+1)-1; i++) |
|
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|
2157 { |
|
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|
2158 octave_idx_type iidx = ridx(i); |
|
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|
2159 work[iidx] = work[iidx] - tmp * data(i); |
|
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2160 } |
|
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|
2161 } |
|
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|
2162 } |
|
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|
2163 |
|
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|
2164 for (octave_idx_type i = 0; i < nc; i++) |
|
14844
5bc9b9cb4362
maint: Use Octave coding conventions for cuddled parenthesis in retval assignments.
Rik <octave@nomad.inbox5.com>
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14138
diff
changeset
|
2165 retval(perm[i], j) = work[i]; |
|
10314
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|
2166 } |
|
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|
2167 |
|
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|
2168 if (calc_cond) |
|
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|
2169 { |
|
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|
2170 // Calculation of 1-norm of inv(*this) |
|
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|
2171 for (octave_idx_type i = 0; i < nm; i++) |
|
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|
2172 work[i] = 0.; |
|
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|
2173 |
|
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|
2174 for (octave_idx_type j = 0; j < nr; j++) |
|
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|
2175 { |
|
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|
2176 work[j] = 1.; |
|
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|
2177 |
|
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|
2178 for (octave_idx_type k = j; k >= 0; k--) |
|
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|
2179 { |
|
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|
2180 octave_idx_type iidx = perm[k]; |
|
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2181 |
|
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|
2182 if (work[k] != 0.) |
|
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|
2183 { |
|
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|
2184 Complex tmp = work[k] / data(cidx(iidx+1)-1); |
|
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|
2185 work[k] = tmp; |
|
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2186 for (octave_idx_type i = cidx(iidx); |
|
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|
2187 i < cidx(iidx+1)-1; i++) |
|
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|
2188 { |
|
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|
2189 octave_idx_type idx2 = ridx(i); |
|
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|
2190 work[idx2] = work[idx2] - tmp * data(i); |
|
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2191 } |
|
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|
2192 } |
|
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|
2193 } |
|
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|
2194 double atmp = 0; |
|
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|
2195 for (octave_idx_type i = 0; i < j+1; i++) |
|
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|
2196 { |
|
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|
2197 atmp += std::abs(work[i]); |
|
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|
2198 work[i] = 0.; |
|
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|
2199 } |
|
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|
2200 if (atmp > ainvnorm) |
|
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|
2201 ainvnorm = atmp; |
|
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|
2202 } |
|
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|
2203 rcond = 1. / ainvnorm / anorm; |
|
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2204 } |
|
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|
2205 } |
|
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|
2206 else |
|
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|
2207 { |
|
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|
2208 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
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|
2209 retval.resize (nc, b_nc); |
|
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|
2210 |
|
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|
2211 for (octave_idx_type j = 0; j < b_nc; j++) |
|
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|
2212 { |
|
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|
2213 for (octave_idx_type i = 0; i < nr; i++) |
|
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|
2214 work[i] = b(i,j); |
|
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changeset
|
2215 for (octave_idx_type i = nr; i < nc; i++) |
|
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|
2216 work[i] = 0.; |
|
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|
2217 |
|
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|
2218 for (octave_idx_type k = nc-1; k >= 0; k--) |
|
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|
2219 { |
|
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|
2220 if (work[k] != 0.) |
|
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|
2221 { |
|
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|
2222 if (ridx(cidx(k+1)-1) != k || |
|
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untabify liboctave C++ sources
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|
2223 data(cidx(k+1)-1) == 0.) |
|
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untabify liboctave C++ sources
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|
2224 { |
|
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|
2225 err = -2; |
|
07ebe522dac2
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|
2226 goto triangular_error; |
|
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|
2227 } |
|
10314
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|
2228 |
|
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|
2229 Complex tmp = work[k] / data(cidx(k+1)-1); |
|
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|
2230 work[k] = tmp; |
|
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|
2231 for (octave_idx_type i = cidx(k); i < cidx(k+1)-1; i++) |
|
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|
2232 { |
|
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changeset
|
2233 octave_idx_type iidx = ridx(i); |
|
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untabify liboctave C++ sources
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|
2234 work[iidx] = work[iidx] - tmp * data(i); |
|
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|
2235 } |
|
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diff
changeset
|
2236 } |
|
07ebe522dac2
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diff
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|
2237 } |
|
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diff
changeset
|
2238 |
|
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|
2239 for (octave_idx_type i = 0; i < nc; i++) |
|
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untabify liboctave C++ sources
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|
2240 retval.xelem (i, j) = work[i]; |
|
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|
2241 } |
|
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diff
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|
2242 |
|
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|
2243 if (calc_cond) |
|
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diff
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|
2244 { |
|
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|
2245 // Calculation of 1-norm of inv(*this) |
|
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|
2246 for (octave_idx_type i = 0; i < nm; i++) |
|
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untabify liboctave C++ sources
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|
2247 work[i] = 0.; |
|
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|
2248 |
|
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changeset
|
2249 for (octave_idx_type j = 0; j < nr; j++) |
|
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|
2250 { |
|
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|
2251 work[j] = 1.; |
|
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|
2252 |
|
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|
2253 for (octave_idx_type k = j; k >= 0; k--) |
|
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|
2254 { |
|
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|
2255 if (work[k] != 0.) |
|
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|
2256 { |
|
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changeset
|
2257 Complex tmp = work[k] / data(cidx(k+1)-1); |
|
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untabify liboctave C++ sources
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|
2258 work[k] = tmp; |
|
11586
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|
2259 for (octave_idx_type i = cidx(k); |
|
10314
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|
2260 i < cidx(k+1)-1; i++) |
|
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|
2261 { |
|
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|
2262 octave_idx_type iidx = ridx(i); |
|
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untabify liboctave C++ sources
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|
2263 work[iidx] = work[iidx] - tmp * data(i); |
|
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|
2264 } |
|
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|
2265 } |
|
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|
2266 } |
|
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|
2267 double atmp = 0; |
|
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untabify liboctave C++ sources
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|
2268 for (octave_idx_type i = 0; i < j+1; i++) |
|
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|
2269 { |
|
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|
2270 atmp += std::abs(work[i]); |
|
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|
2271 work[i] = 0.; |
|
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|
2272 } |
|
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|
2273 if (atmp > ainvnorm) |
|
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untabify liboctave C++ sources
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|
2274 ainvnorm = atmp; |
|
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|
2275 } |
|
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|
2276 rcond = 1. / ainvnorm / anorm; |
|
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|
2277 } |
|
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diff
changeset
|
2278 } |
|
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changeset
|
2279 |
|
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changeset
|
2280 triangular_error: |
|
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untabify liboctave C++ sources
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changeset
|
2281 if (err != 0) |
|
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|
2282 { |
|
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changeset
|
2283 if (sing_handler) |
|
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changeset
|
2284 { |
|
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changeset
|
2285 sing_handler (rcond); |
|
07ebe522dac2
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changeset
|
2286 mattype.mark_as_rectangular (); |
|
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changeset
|
2287 } |
|
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changeset
|
2288 else |
|
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changeset
|
2289 (*current_liboctave_error_handler) |
|
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|
2290 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
|
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|
2291 rcond); |
|
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changeset
|
2292 } |
|
07ebe522dac2
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diff
changeset
|
2293 |
|
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changeset
|
2294 volatile double rcond_plus_one = rcond + 1.0; |
|
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|
2295 |
|
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|
2296 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
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|
2297 { |
|
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changeset
|
2298 err = -2; |
|
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|
2299 |
|
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changeset
|
2300 if (sing_handler) |
|
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|
2301 { |
|
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changeset
|
2302 sing_handler (rcond); |
|
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|
2303 mattype.mark_as_rectangular (); |
|
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|
2304 } |
|
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|
2305 else |
|
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|
2306 (*current_liboctave_error_handler) |
|
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|
2307 ("matrix singular to machine precision, rcond = %g", |
|
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|
2308 rcond); |
|
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|
2309 } |
|
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|
2310 } |
| 5164 | 2311 else |
|
10314
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|
2312 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 2313 } |
| 2314 | |
| 2315 return retval; | |
| 2316 } | |
| 2317 | |
| 2318 SparseComplexMatrix | |
| 5785 | 2319 SparseComplexMatrix::utsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
|
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|
2320 octave_idx_type& err, double& rcond, |
|
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|
2321 solve_singularity_handler sing_handler, |
|
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|
2322 bool calc_cond) const |
| 5164 | 2323 { |
| 2324 SparseComplexMatrix retval; | |
| 2325 | |
| 5275 | 2326 octave_idx_type nr = rows (); |
| 2327 octave_idx_type nc = cols (); | |
| 5630 | 2328 octave_idx_type nm = (nc > nr ? nc : nr); |
| 5164 | 2329 err = 0; |
| 2330 | |
| 6924 | 2331 if (nr != b.rows ()) |
| 5164 | 2332 (*current_liboctave_error_handler) |
| 2333 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2334 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 2335 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5164 | 2336 else |
| 2337 { | |
| 2338 // Print spparms("spumoni") info if requested | |
| 2339 int typ = mattype.type (); | |
| 2340 mattype.info (); | |
|
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|
2341 |
| 5785 | 2342 if (typ == MatrixType::Permuted_Upper || |
|
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|
2343 typ == MatrixType::Upper) |
|
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|
2344 { |
|
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changeset
|
2345 double anorm = 0.; |
|
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|
2346 double ainvnorm = 0.; |
|
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changeset
|
2347 rcond = 1.; |
|
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|
2348 |
|
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changeset
|
2349 if (calc_cond) |
|
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|
2350 { |
|
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changeset
|
2351 // Calculate the 1-norm of matrix for rcond calculation |
|
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changeset
|
2352 for (octave_idx_type j = 0; j < nc; j++) |
|
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changeset
|
2353 { |
|
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2354 double atmp = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2355 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
|
2356 atmp += std::abs(data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2357 if (atmp > anorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2358 anorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2359 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2360 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2361 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2362 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2363 octave_idx_type b_nz = b.nnz (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2364 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2365 retval.xcidx(0) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2366 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2367 octave_idx_type x_nz = b_nz; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2368 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2369 if (typ == MatrixType::Permuted_Upper) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2370 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2371 octave_idx_type *perm = mattype.triangular_perm (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2372 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2373 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2374 OCTAVE_LOCAL_BUFFER (octave_idx_type, rperm, nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2375 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2376 rperm[perm[i]] = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2377 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2378 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
|
2379 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2380 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2381 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2382 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
|
2383 work[b.ridx(i)] = b.data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2384 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2385 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
|
2386 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2387 octave_idx_type kidx = perm[k]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2388 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2389 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2390 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2391 if (ridx(cidx(kidx+1)-1) != k || |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2392 data(cidx(kidx+1)-1) == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2393 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2394 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2395 goto triangular_error; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2396 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2397 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2398 Complex tmp = work[k] / data(cidx(kidx+1)-1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2399 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2400 for (octave_idx_type i = cidx(kidx); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2401 i < cidx(kidx+1)-1; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2402 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2403 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2404 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2405 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2406 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2407 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2408 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2409 // 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
|
2410 // retval if needed |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2411 octave_idx_type new_nnz = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2412 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2413 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2414 new_nnz++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2415 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2416 if (ii + new_nnz > x_nz) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2417 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2418 // Resize the sparse matrix |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2419 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
|
2420 retval.change_capacity (sz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2421 x_nz = sz; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2422 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2423 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2424 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2425 if (work[rperm[i]] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2426 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2427 retval.xridx(ii) = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2428 retval.xdata(ii++) = work[rperm[i]]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2429 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2430 retval.xcidx(j+1) = ii; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2431 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2432 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2433 retval.maybe_compress (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2434 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2435 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2436 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2437 // Calculation of 1-norm of inv(*this) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2438 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2439 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2440 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2441 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2442 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2443 work[j] = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2444 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2445 for (octave_idx_type k = j; k >= 0; k--) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2446 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2447 octave_idx_type iidx = perm[k]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2448 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2449 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2450 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2451 Complex tmp = work[k] / data(cidx(iidx+1)-1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2452 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2453 for (octave_idx_type i = cidx(iidx); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2454 i < cidx(iidx+1)-1; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2455 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2456 octave_idx_type idx2 = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2457 work[idx2] = work[idx2] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2458 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2459 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2460 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2461 double atmp = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2462 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
|
2463 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2464 atmp += std::abs(work[i]); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2465 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2466 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2467 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2468 ainvnorm = atmp; |
|
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 rcond = 1. / ainvnorm / anorm; |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2473 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2474 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2475 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
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 j = 0; j < b_nc; j++) |
|
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 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2480 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2481 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
|
2482 work[b.ridx(i)] = b.data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2483 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2484 for (octave_idx_type k = nr-1; k >= 0; k--) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2485 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2486 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2487 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2488 if (ridx(cidx(k+1)-1) != k || |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2489 data(cidx(k+1)-1) == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2490 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2491 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2492 goto triangular_error; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2493 } |
|
10314
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 Complex tmp = work[k] / data(cidx(k+1)-1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2496 work[k] = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2497 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
|
2498 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2499 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2500 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2501 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2502 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2503 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2504 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2505 // 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
|
2506 // retval if needed |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2507 octave_idx_type new_nnz = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2508 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2509 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2510 new_nnz++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2511 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2512 if (ii + new_nnz > x_nz) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2513 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2514 // Resize the sparse matrix |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2515 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
|
2516 retval.change_capacity (sz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2517 x_nz = sz; |
|
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 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2520 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2521 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2522 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2523 retval.xridx(ii) = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2524 retval.xdata(ii++) = work[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2525 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2526 retval.xcidx(j+1) = ii; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2527 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2528 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2529 retval.maybe_compress (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2530 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2531 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2532 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2533 // Calculation of 1-norm of inv(*this) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2534 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2535 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2536 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2537 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2538 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2539 work[j] = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2540 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2541 for (octave_idx_type k = j; k >= 0; k--) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2542 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2543 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2544 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2545 Complex tmp = work[k] / data(cidx(k+1)-1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2546 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2547 for (octave_idx_type i = cidx(k); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2548 i < cidx(k+1)-1; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2549 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2550 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2551 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2552 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2553 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2554 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2555 double atmp = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2556 for (octave_idx_type i = 0; i < j+1; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2557 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2558 atmp += std::abs(work[i]); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2559 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2560 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2561 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2562 ainvnorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2563 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2564 rcond = 1. / ainvnorm / anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2565 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2566 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2567 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2568 triangular_error: |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2569 if (err != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2570 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2571 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2572 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2573 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2574 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2575 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2576 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2577 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2578 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2579 rcond); |
|
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 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2582 volatile double rcond_plus_one = rcond + 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 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2585 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2586 err = -2; |
|
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>
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changeset
|
2588 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2589 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2590 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2591 mattype.mark_as_rectangular (); |
|
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untabify liboctave C++ sources
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diff
changeset
|
2592 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2593 else |
|
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untabify liboctave C++ sources
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diff
changeset
|
2594 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2595 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2596 rcond); |
|
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untabify liboctave C++ sources
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diff
changeset
|
2597 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2598 } |
| 5164 | 2599 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2600 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 2601 } |
| 2602 | |
| 2603 return retval; | |
| 2604 } | |
| 2605 | |
| 2606 ComplexMatrix | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
2607 SparseComplexMatrix::ltsolve (MatrixType &mattype, const Matrix& b, |
|
12df7854fa7c
strip trailing whitespace from source files
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diff
changeset
|
2608 octave_idx_type& err, double& rcond, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2609 solve_singularity_handler sing_handler, |
|
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untabify liboctave C++ sources
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diff
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|
2610 bool calc_cond) const |
| 5164 | 2611 { |
| 2612 ComplexMatrix retval; | |
| 2613 | |
| 5275 | 2614 octave_idx_type nr = rows (); |
| 2615 octave_idx_type nc = cols (); | |
| 5630 | 2616 octave_idx_type nm = (nc > nr ? nc : nr); |
| 5164 | 2617 err = 0; |
| 2618 | |
| 6924 | 2619 if (nr != b.rows ()) |
| 5164 | 2620 (*current_liboctave_error_handler) |
| 2621 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2622 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 2623 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5164 | 2624 else |
| 2625 { | |
| 2626 // Print spparms("spumoni") info if requested | |
| 2627 int typ = mattype.type (); | |
| 2628 mattype.info (); | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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diff
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|
2629 |
| 5785 | 2630 if (typ == MatrixType::Permuted_Lower || |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
2631 typ == MatrixType::Lower) |
|
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untabify liboctave C++ sources
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diff
changeset
|
2632 { |
|
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untabify liboctave C++ sources
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diff
changeset
|
2633 double anorm = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2634 double ainvnorm = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2635 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2636 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2637 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2638 if (calc_cond) |
|
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untabify liboctave C++ sources
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diff
changeset
|
2639 { |
|
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untabify liboctave C++ sources
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diff
changeset
|
2640 // Calculate the 1-norm of matrix for rcond calculation |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2641 for (octave_idx_type j = 0; j < nc; j++) |
|
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untabify liboctave C++ sources
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diff
changeset
|
2642 { |
|
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changeset
|
2643 double atmp = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2644 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2645 atmp += std::abs(data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2646 if (atmp > anorm) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2647 anorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2648 } |
|
07ebe522dac2
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diff
changeset
|
2649 } |
|
07ebe522dac2
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diff
changeset
|
2650 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2651 if (typ == MatrixType::Permuted_Lower) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2652 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2653 retval.resize (nc, b_nc); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2654 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2655 octave_idx_type *perm = mattype.triangular_perm (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2656 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2657 for (octave_idx_type j = 0; j < b_nc; j++) |
|
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untabify liboctave C++ sources
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diff
changeset
|
2658 { |
|
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untabify liboctave C++ sources
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diff
changeset
|
2659 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2660 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2661 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2662 work[perm[i]] = b(i,j); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2663 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2664 for (octave_idx_type k = 0; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2665 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2666 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2667 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2668 octave_idx_type minr = nr; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2669 octave_idx_type mini = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
2670 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2671 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2672 if (perm[ridx(i)] < minr) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2673 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
2674 minr = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2675 mini = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2676 } |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
2677 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2678 if (minr != k || data (mini) == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2679 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2680 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2681 goto triangular_error; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2682 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
2683 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2684 Complex tmp = work[k] / data(mini); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2685 work[k] = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2686 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
|
2687 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2688 if (i == mini) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2689 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
2690 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2691 octave_idx_type iidx = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2692 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2693 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2694 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2695 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
2696 |
|
07ebe522dac2
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10158
diff
changeset
|
2697 for (octave_idx_type i = 0; i < nc; i++) |
|
14844
5bc9b9cb4362
maint: Use Octave coding conventions for cuddled parenthesis in retval assignments.
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
2698 retval(i, j) = work[i]; |
|
10314
07ebe522dac2
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diff
changeset
|
2699 } |
|
07ebe522dac2
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10158
diff
changeset
|
2700 |
|
07ebe522dac2
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changeset
|
2701 if (calc_cond) |
|
07ebe522dac2
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diff
changeset
|
2702 { |
|
07ebe522dac2
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changeset
|
2703 // Calculation of 1-norm of inv(*this) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2704 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2705 work[i] = 0.; |
|
07ebe522dac2
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changeset
|
2706 |
|
07ebe522dac2
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changeset
|
2707 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
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changeset
|
2708 { |
|
07ebe522dac2
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10158
diff
changeset
|
2709 work[j] = 1.; |
|
07ebe522dac2
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10158
diff
changeset
|
2710 |
|
07ebe522dac2
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changeset
|
2711 for (octave_idx_type k = 0; k < nc; k++) |
|
07ebe522dac2
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changeset
|
2712 { |
|
07ebe522dac2
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changeset
|
2713 if (work[k] != 0.) |
|
07ebe522dac2
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10158
diff
changeset
|
2714 { |
|
07ebe522dac2
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diff
changeset
|
2715 octave_idx_type minr = nr; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
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changeset
|
2716 octave_idx_type mini = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2717 |
|
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12df7854fa7c
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changeset
|
2718 for (octave_idx_type i = cidx(k); |
|
10314
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untabify liboctave C++ sources
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changeset
|
2719 i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
2720 if (perm[ridx(i)] < minr) |
|
07ebe522dac2
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10158
diff
changeset
|
2721 { |
|
07ebe522dac2
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diff
changeset
|
2722 minr = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
2723 mini = i; |
|
07ebe522dac2
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10158
diff
changeset
|
2724 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2725 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2726 Complex tmp = work[k] / data(mini); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2727 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2728 for (octave_idx_type i = cidx(k); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2729 i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2730 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2731 if (i == mini) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2732 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2733 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2734 octave_idx_type iidx = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2735 work[iidx] = work[iidx] - tmp * data(i); |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2738 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2739 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2740 double atmp = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2741 for (octave_idx_type i = j; i < nc; i++) |
|
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 atmp += std::abs(work[i]); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2744 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2745 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2746 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2747 ainvnorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2748 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2749 rcond = 1. / ainvnorm / anorm; |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2752 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2753 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2754 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2755 retval.resize (nc, b_nc, 0.); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2756 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2757 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
|
2758 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2759 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2760 work[i] = b(i,j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2761 for (octave_idx_type i = nr; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2762 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2763 for (octave_idx_type k = 0; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2764 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2765 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2766 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2767 if (ridx(cidx(k)) != k || |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2768 data(cidx(k)) == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2769 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2770 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2771 goto triangular_error; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2772 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2773 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2774 Complex tmp = work[k] / data(cidx(k)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2775 work[k] = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2776 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
|
2777 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2778 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2779 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2780 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2781 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2782 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2783 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2784 retval.xelem (i, j) = work[i]; |
|
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 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2787 if (calc_cond) |
|
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 // Calculation of 1-norm of inv(*this) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2790 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2791 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2792 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2793 for (octave_idx_type j = 0; j < nr; j++) |
|
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 work[j] = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2796 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2797 for (octave_idx_type k = j; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2798 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2799 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2800 if (work[k] != 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 Complex tmp = work[k] / data(cidx(k)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2803 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2804 for (octave_idx_type i = cidx(k)+1; |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2805 i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2806 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2807 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2808 work[iidx] = work[iidx] - tmp * data(i); |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2811 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2812 double atmp = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2813 for (octave_idx_type i = j; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2814 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2815 atmp += std::abs(work[i]); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2816 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2817 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2818 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2819 ainvnorm = atmp; |
|
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 rcond = 1. / ainvnorm / anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2822 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2823 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2824 triangular_error: |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2825 if (err != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2826 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2827 if (sing_handler) |
|
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 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2830 mattype.mark_as_rectangular (); |
|
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 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2833 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2834 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2835 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2836 } |
|
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 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2839 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2840 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2841 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2842 err = -2; |
|
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 if (sing_handler) |
|
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 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2847 mattype.mark_as_rectangular (); |
|
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 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2850 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2851 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2852 rcond); |
|
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 } |
| 5164 | 2855 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2856 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 2857 } |
| 2858 | |
| 2859 return retval; | |
| 2860 } | |
| 2861 | |
| 2862 SparseComplexMatrix | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2863 SparseComplexMatrix::ltsolve (MatrixType &mattype, const SparseMatrix& b, |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2864 octave_idx_type& err, double& rcond, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2865 solve_singularity_handler sing_handler, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2866 bool calc_cond) const |
| 5164 | 2867 { |
| 2868 SparseComplexMatrix retval; | |
| 2869 | |
| 5275 | 2870 octave_idx_type nr = rows (); |
| 2871 octave_idx_type nc = cols (); | |
| 5630 | 2872 octave_idx_type nm = (nc > nr ? nc : nr); |
| 2873 | |
| 5164 | 2874 err = 0; |
| 2875 | |
| 6924 | 2876 if (nr != b.rows ()) |
| 5164 | 2877 (*current_liboctave_error_handler) |
| 2878 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2879 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 2880 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5164 | 2881 else |
| 2882 { | |
| 2883 // Print spparms("spumoni") info if requested | |
| 2884 int typ = mattype.type (); | |
| 2885 mattype.info (); | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2886 |
| 5785 | 2887 if (typ == MatrixType::Permuted_Lower || |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2888 typ == MatrixType::Lower) |
|
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 double anorm = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2891 double ainvnorm = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2892 rcond = 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 if (calc_cond) |
|
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 // Calculate the 1-norm of matrix for rcond calculation |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2897 for (octave_idx_type j = 0; j < nc; j++) |
|
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 atmp = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2900 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
|
2901 atmp += std::abs(data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2902 if (atmp > anorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2903 anorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2904 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2905 } |
|
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 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2908 octave_idx_type b_nz = b.nnz (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2909 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2910 retval.xcidx(0) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2911 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2912 octave_idx_type x_nz = b_nz; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2913 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2914 if (typ == MatrixType::Permuted_Lower) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2915 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2916 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2917 octave_idx_type *perm = mattype.triangular_perm (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2918 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2919 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
|
2920 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2921 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2922 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2923 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
|
2924 work[perm[b.ridx(i)]] = b.data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2925 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2926 for (octave_idx_type k = 0; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2927 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2928 if (work[k] != 0.) |
|
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 octave_idx_type minr = nr; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2931 octave_idx_type mini = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2932 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2933 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2934 if (perm[ridx(i)] < minr) |
|
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 minr = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2937 mini = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2938 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2939 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2940 if (minr != k || data (mini) == 0.) |
|
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 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2943 goto triangular_error; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
2944 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2945 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2946 Complex tmp = work[k] / data(mini); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2947 work[k] = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2948 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
|
2949 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2950 if (i == mini) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2951 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2952 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2953 octave_idx_type iidx = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2954 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2955 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2956 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2957 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2958 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2959 // 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
|
2960 // retval if needed |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2961 octave_idx_type new_nnz = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2962 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2963 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2964 new_nnz++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2965 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2966 if (ii + new_nnz > x_nz) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2967 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2968 // Resize the sparse matrix |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2969 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
|
2970 retval.change_capacity (sz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2971 x_nz = sz; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2972 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2973 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2974 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2975 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2976 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2977 retval.xridx(ii) = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2978 retval.xdata(ii++) = work[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2979 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2980 retval.xcidx(j+1) = ii; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2981 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2982 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2983 retval.maybe_compress (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2984 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2985 if (calc_cond) |
|
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 // Calculation of 1-norm of inv(*this) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2988 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2989 work[i] = 0.; |
|
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 for (octave_idx_type j = 0; j < nr; j++) |
|
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 work[j] = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2994 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2995 for (octave_idx_type k = 0; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2996 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2997 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2998 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
2999 octave_idx_type minr = nr; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3000 octave_idx_type mini = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3001 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3002 for (octave_idx_type i = cidx(k); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3003 i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3004 if (perm[ridx(i)] < minr) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3005 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3006 minr = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3007 mini = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3008 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3009 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3010 Complex tmp = work[k] / data(mini); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3011 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3012 for (octave_idx_type i = cidx(k); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3013 i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3014 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3015 if (i == mini) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3016 continue; |
|
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 octave_idx_type iidx = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3019 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3020 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3021 } |
|
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 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3024 double atmp = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3025 for (octave_idx_type i = j; i < nc; i++) |
|
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 atmp += std::abs(work[i]); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3028 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3029 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3030 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3031 ainvnorm = atmp; |
|
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 rcond = 1. / ainvnorm / anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3034 } |
|
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 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3037 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3038 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3039 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3040 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
|
3041 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3042 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3043 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3044 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
|
3045 work[b.ridx(i)] = b.data(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 for (octave_idx_type k = 0; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3048 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3049 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3050 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3051 if (ridx(cidx(k)) != k || |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3052 data(cidx(k)) == 0.) |
|
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 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3055 goto triangular_error; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3056 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3057 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3058 Complex tmp = work[k] / data(cidx(k)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3059 work[k] = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3060 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
|
3061 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3062 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3063 work[iidx] = work[iidx] - tmp * data(i); |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3066 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3067 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3068 // 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
|
3069 // retval if needed |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3070 octave_idx_type new_nnz = 0; |
|
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 new_nnz++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3074 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3075 if (ii + new_nnz > x_nz) |
|
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 // Resize the sparse matrix |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3078 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
|
3079 retval.change_capacity (sz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3080 x_nz = sz; |
|
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 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3083 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3084 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3085 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3086 retval.xridx(ii) = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3087 retval.xdata(ii++) = work[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3088 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3089 retval.xcidx(j+1) = ii; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3090 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3091 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3092 retval.maybe_compress (); |
|
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 (calc_cond) |
|
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 // Calculation of 1-norm of inv(*this) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3097 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3098 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3099 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3100 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3101 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3102 work[j] = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3103 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3104 for (octave_idx_type k = j; k < nc; k++) |
|
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 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3108 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3109 Complex tmp = work[k] / data(cidx(k)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3110 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
3111 for (octave_idx_type i = cidx(k)+1; |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3112 i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3113 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3114 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3115 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3116 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3117 } |
|
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 double atmp = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3120 for (octave_idx_type i = j; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3121 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3122 atmp += std::abs(work[i]); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3123 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3124 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3125 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3126 ainvnorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3127 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3128 rcond = 1. / ainvnorm / anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3129 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3130 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3131 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3132 triangular_error: |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3133 if (err != 0) |
|
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 if (sing_handler) |
|
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 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3138 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3139 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3140 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3141 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3142 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3143 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3144 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3145 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3146 volatile double rcond_plus_one = rcond + 1.0; |
|
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 (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3149 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3150 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3151 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3152 if (sing_handler) |
|
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 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3155 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3156 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3157 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3158 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3159 ("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
|
3160 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3161 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3162 } |
| 5164 | 3163 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3164 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 3165 } |
| 3166 | |
| 3167 return retval; | |
| 3168 } | |
| 3169 | |
| 3170 ComplexMatrix | |
| 5785 | 3171 SparseComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3172 octave_idx_type& err, double& rcond, |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3173 solve_singularity_handler sing_handler, |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3174 bool calc_cond) const |
| 5164 | 3175 { |
| 3176 ComplexMatrix retval; | |
| 3177 | |
| 5275 | 3178 octave_idx_type nr = rows (); |
| 3179 octave_idx_type nc = cols (); | |
| 5630 | 3180 octave_idx_type nm = (nc > nr ? nc : nr); |
| 5164 | 3181 err = 0; |
| 3182 | |
| 6924 | 3183 if (nr != b.rows ()) |
| 5164 | 3184 (*current_liboctave_error_handler) |
| 3185 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 3186 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 3187 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5164 | 3188 else |
| 3189 { | |
| 3190 // Print spparms("spumoni") info if requested | |
| 3191 int typ = mattype.type (); | |
| 3192 mattype.info (); | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
3193 |
| 5785 | 3194 if (typ == MatrixType::Permuted_Lower || |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3195 typ == MatrixType::Lower) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3196 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3197 double anorm = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3198 double ainvnorm = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3199 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3200 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3201 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3202 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3203 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3204 // Calculate the 1-norm of matrix for rcond calculation |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3205 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3206 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3207 double atmp = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3208 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3209 atmp += std::abs(data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3210 if (atmp > anorm) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3211 anorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3212 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3213 } |
|
07ebe522dac2
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diff
changeset
|
3214 |
|
07ebe522dac2
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changeset
|
3215 if (typ == MatrixType::Permuted_Lower) |
|
07ebe522dac2
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changeset
|
3216 { |
|
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changeset
|
3217 retval.resize (nc, b_nc); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3218 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
07ebe522dac2
untabify liboctave C++ sources
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|
3219 octave_idx_type *perm = mattype.triangular_perm (); |
|
07ebe522dac2
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|
3220 |
|
07ebe522dac2
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changeset
|
3221 for (octave_idx_type j = 0; j < b_nc; j++) |
|
07ebe522dac2
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changeset
|
3222 { |
|
07ebe522dac2
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changeset
|
3223 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3224 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3225 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3226 work[perm[i]] = b(i,j); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3227 |
|
07ebe522dac2
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changeset
|
3228 for (octave_idx_type k = 0; k < nc; k++) |
|
07ebe522dac2
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changeset
|
3229 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3230 if (work[k] != 0.) |
|
07ebe522dac2
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diff
changeset
|
3231 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3232 octave_idx_type minr = nr; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3233 octave_idx_type mini = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3234 |
|
07ebe522dac2
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diff
changeset
|
3235 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3236 if (perm[ridx(i)] < minr) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3237 { |
|
07ebe522dac2
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10158
diff
changeset
|
3238 minr = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3239 mini = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3240 } |
|
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 if (minr != k || data (mini) == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3243 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3244 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3245 goto triangular_error; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3246 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3247 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3248 Complex tmp = work[k] / data(mini); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3249 work[k] = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3250 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
|
3251 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3252 if (i == mini) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3253 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3254 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3255 octave_idx_type iidx = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3256 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3257 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3258 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3259 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3260 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3261 for (octave_idx_type i = 0; i < nc; i++) |
|
14844
5bc9b9cb4362
maint: Use Octave coding conventions for cuddled parenthesis in retval assignments.
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
3262 retval(i, j) = work[i]; |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3263 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3264 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3265 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3266 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3267 // Calculation of 1-norm of inv(*this) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3268 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3269 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3270 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3271 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3272 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3273 work[j] = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3274 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3275 for (octave_idx_type k = 0; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3276 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3277 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3278 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3279 octave_idx_type minr = nr; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3280 octave_idx_type mini = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3281 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3282 for (octave_idx_type i = cidx(k); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3283 i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3284 if (perm[ridx(i)] < minr) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3285 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3286 minr = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3287 mini = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3288 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3289 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3290 Complex tmp = work[k] / data(mini); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3291 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3292 for (octave_idx_type i = cidx(k); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3293 i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3294 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3295 if (i == mini) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3296 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3297 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3298 octave_idx_type iidx = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3299 work[iidx] = work[iidx] - tmp * data(i); |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3302 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3303 |
|
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 = j; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3306 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3307 atmp += std::abs(work[i]); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3308 work[i] = 0.; |
|
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 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3311 ainvnorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3312 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3313 rcond = 1. / ainvnorm / anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3314 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3315 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3316 else |
|
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 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3319 retval.resize (nc, b_nc, 0.); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3320 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3321 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3322 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
|
3323 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3324 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3325 work[i] = b(i,j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3326 for (octave_idx_type i = nr; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3327 work[i] = 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 for (octave_idx_type k = 0; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3330 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3331 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3332 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3333 if (ridx(cidx(k)) != k || |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3334 data(cidx(k)) == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3335 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3336 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3337 goto triangular_error; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3338 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3339 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3340 Complex tmp = work[k] / data(cidx(k)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3341 work[k] = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3342 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
|
3343 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3344 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3345 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3346 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3347 } |
|
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 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3350 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3351 retval.xelem (i, j) = work[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3352 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3353 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3354 if (calc_cond) |
|
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 // Calculation of 1-norm of inv(*this) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3357 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3358 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3359 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3360 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
|
3361 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3362 work[j] = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3363 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3364 for (octave_idx_type k = j; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3365 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3366 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3367 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3368 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3369 Complex tmp = work[k] / data(cidx(k)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3370 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3371 for (octave_idx_type i = cidx(k)+1; |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3372 i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3373 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3374 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3375 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3376 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3377 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3378 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3379 double atmp = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3380 for (octave_idx_type i = j; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3381 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3382 atmp += std::abs(work[i]); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3383 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3384 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3385 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3386 ainvnorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
3387 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3388 rcond = 1. / ainvnorm / anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3389 } |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3390 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3391 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3392 triangular_error: |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3393 if (err != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3394 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3395 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3396 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3397 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3398 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3399 } |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3400 else |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3401 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3402 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3403 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3404 } |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3405 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3406 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3407 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3408 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3409 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3410 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3411 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3412 if (sing_handler) |
|
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:
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diff
changeset
|
3414 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3415 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3416 } |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3417 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3418 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3419 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3420 rcond); |
|
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untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3421 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3422 } |
| 5164 | 3423 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3424 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 3425 } |
| 3426 | |
| 3427 return retval; | |
| 3428 } | |
| 3429 | |
| 3430 SparseComplexMatrix | |
| 5785 | 3431 SparseComplexMatrix::ltsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3432 octave_idx_type& err, double& rcond, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3433 solve_singularity_handler sing_handler, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3434 bool calc_cond) const |
| 5164 | 3435 { |
| 3436 SparseComplexMatrix retval; | |
| 3437 | |
| 5275 | 3438 octave_idx_type nr = rows (); |
| 3439 octave_idx_type nc = cols (); | |
| 5630 | 3440 octave_idx_type nm = (nc > nr ? nc : nr); |
| 5164 | 3441 err = 0; |
| 3442 | |
| 6924 | 3443 if (nr != b.rows ()) |
| 5164 | 3444 (*current_liboctave_error_handler) |
| 3445 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 3446 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 3447 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5164 | 3448 else |
| 3449 { | |
| 3450 // Print spparms("spumoni") info if requested | |
| 3451 int typ = mattype.type (); | |
| 3452 mattype.info (); | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3453 |
| 5785 | 3454 if (typ == MatrixType::Permuted_Lower || |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3455 typ == MatrixType::Lower) |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3456 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3457 double anorm = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3458 double ainvnorm = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3459 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3460 |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3461 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3462 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3463 // Calculate the 1-norm of matrix for rcond calculation |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3464 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3465 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3466 double atmp = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3467 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3468 atmp += std::abs(data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3469 if (atmp > anorm) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3470 anorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3471 } |
|
07ebe522dac2
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diff
changeset
|
3472 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3473 |
|
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diff
changeset
|
3474 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3475 octave_idx_type b_nz = b.nnz (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3476 retval = SparseComplexMatrix (nc, b_nc, b_nz); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3477 retval.xcidx(0) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3478 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3479 octave_idx_type x_nz = b_nz; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3480 |
|
07ebe522dac2
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diff
changeset
|
3481 if (typ == MatrixType::Permuted_Lower) |
|
07ebe522dac2
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diff
changeset
|
3482 { |
|
07ebe522dac2
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diff
changeset
|
3483 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3484 octave_idx_type *perm = mattype.triangular_perm (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3485 |
|
07ebe522dac2
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10158
diff
changeset
|
3486 for (octave_idx_type j = 0; j < b_nc; j++) |
|
07ebe522dac2
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diff
changeset
|
3487 { |
|
07ebe522dac2
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diff
changeset
|
3488 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3489 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3490 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3491 work[perm[b.ridx(i)]] = b.data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3492 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3493 for (octave_idx_type k = 0; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3494 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3495 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3496 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3497 octave_idx_type minr = nr; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3498 octave_idx_type mini = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3499 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3500 for (octave_idx_type i = cidx(k); i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3501 if (perm[ridx(i)] < minr) |
|
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 minr = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3504 mini = i; |
|
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 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3507 if (minr != k || data (mini) == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3508 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3509 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3510 goto triangular_error; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3511 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3512 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3513 Complex tmp = work[k] / data(mini); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3514 work[k] = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3515 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
|
3516 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3517 if (i == mini) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3518 continue; |
|
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 octave_idx_type iidx = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3521 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3522 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3523 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3524 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3525 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3526 // 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
|
3527 // retval if needed |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3528 octave_idx_type new_nnz = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3529 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3530 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3531 new_nnz++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3532 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3533 if (ii + new_nnz > x_nz) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3534 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3535 // Resize the sparse matrix |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3536 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
|
3537 retval.change_capacity (sz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3538 x_nz = sz; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3539 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3540 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3541 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3542 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3543 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3544 retval.xridx(ii) = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3545 retval.xdata(ii++) = work[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3546 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3547 retval.xcidx(j+1) = ii; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3548 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3549 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3550 retval.maybe_compress (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3551 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3552 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3553 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3554 // Calculation of 1-norm of inv(*this) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3555 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3556 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3557 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3558 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3559 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3560 work[j] = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3561 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3562 for (octave_idx_type k = 0; k < nc; k++) |
|
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 if (work[k] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3565 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3566 octave_idx_type minr = nr; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3567 octave_idx_type mini = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3568 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3569 for (octave_idx_type i = cidx(k); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3570 i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3571 if (perm[ridx(i)] < minr) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3572 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3573 minr = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3574 mini = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3575 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3576 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3577 Complex tmp = work[k] / data(mini); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3578 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3579 for (octave_idx_type i = cidx(k); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3580 i < cidx(k+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3581 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3582 if (i == mini) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3583 continue; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3584 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3585 octave_idx_type iidx = perm[ridx(i)]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3586 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3587 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3588 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3589 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3590 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3591 double atmp = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3592 for (octave_idx_type i = j; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3593 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3594 atmp += std::abs(work[i]); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3595 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3596 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3597 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3598 ainvnorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3599 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3600 rcond = 1. / ainvnorm / anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3601 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3602 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3603 else |
|
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 OCTAVE_LOCAL_BUFFER (Complex, work, nm); |
|
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 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
|
3608 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3609 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3610 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3611 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
|
3612 work[b.ridx(i)] = b.data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3613 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3614 for (octave_idx_type k = 0; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3615 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3616 if (work[k] != 0.) |
|
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 if (ridx(cidx(k)) != k || |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3619 data(cidx(k)) == 0.) |
|
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 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3622 goto triangular_error; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3623 } |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3624 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3625 Complex tmp = work[k] / data(cidx(k)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3626 work[k] = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3627 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
|
3628 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3629 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3630 work[iidx] = work[iidx] - tmp * data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3631 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3632 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3633 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3634 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3635 // 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
|
3636 // retval if needed |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3637 octave_idx_type new_nnz = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3638 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3639 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3640 new_nnz++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3641 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3642 if (ii + new_nnz > x_nz) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3643 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3644 // Resize the sparse matrix |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3645 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
|
3646 retval.change_capacity (sz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3647 x_nz = sz; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3648 } |
|
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 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3651 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3652 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3653 retval.xridx(ii) = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3654 retval.xdata(ii++) = work[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3655 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3656 retval.xcidx(j+1) = ii; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3657 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3658 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3659 retval.maybe_compress (); |
|
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 if (calc_cond) |
|
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 // Calculation of 1-norm of inv(*this) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3664 for (octave_idx_type i = 0; i < nm; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3665 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3666 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3667 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3668 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3669 work[j] = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3670 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3671 for (octave_idx_type k = j; k < nc; k++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3672 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3673 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3674 if (work[k] != 0.) |
|
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 Complex tmp = work[k] / data(cidx(k)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3677 work[k] = tmp; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3678 for (octave_idx_type i = cidx(k)+1; |
|
10314
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 octave_idx_type iidx = ridx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3682 work[iidx] = work[iidx] - tmp * data(i); |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3685 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3686 double atmp = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3687 for (octave_idx_type i = j; i < nc; i++) |
|
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 atmp += std::abs(work[i]); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3690 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3691 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3692 if (atmp > ainvnorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3693 ainvnorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3694 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3695 rcond = 1. / ainvnorm / anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3696 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3697 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3698 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3699 triangular_error: |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3700 if (err != 0) |
|
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 if (sing_handler) |
|
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 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3705 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3706 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3707 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3708 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3709 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3710 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3711 } |
|
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 volatile double rcond_plus_one = rcond + 1.0; |
|
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 (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
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 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3718 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3719 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3720 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3721 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3722 mattype.mark_as_rectangular (); |
|
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 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3725 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3726 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3727 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3728 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3729 } |
| 5164 | 3730 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3731 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 3732 } |
| 3733 | |
| 3734 return retval; | |
| 3735 } | |
| 3736 | |
| 3737 ComplexMatrix | |
| 5785 | 3738 SparseComplexMatrix::trisolve (MatrixType &mattype, const Matrix& b, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3739 octave_idx_type& err, double& rcond, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3740 solve_singularity_handler sing_handler, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3741 bool calc_cond) const |
| 5164 | 3742 { |
| 3743 ComplexMatrix retval; | |
| 3744 | |
| 5275 | 3745 octave_idx_type nr = rows (); |
| 3746 octave_idx_type nc = cols (); | |
| 5164 | 3747 err = 0; |
| 3748 | |
| 6924 | 3749 if (nr != nc || nr != b.rows ()) |
| 5164 | 3750 (*current_liboctave_error_handler) |
| 3751 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 3752 else if (nr == 0 || b.cols () == 0) |
| 3753 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5681 | 3754 else if (calc_cond) |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3755 (*current_liboctave_error_handler) |
| 5681 | 3756 ("calculation of condition number not implemented"); |
| 5164 | 3757 else |
| 3758 { | |
| 3759 // Print spparms("spumoni") info if requested | |
| 3760 volatile int typ = mattype.type (); | |
| 3761 mattype.info (); | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3762 |
| 5785 | 3763 if (typ == MatrixType::Tridiagonal_Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3764 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3765 OCTAVE_LOCAL_BUFFER (double, D, nr); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3766 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3767 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3768 if (mattype.is_dense ()) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3769 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3770 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3771 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3772 for (octave_idx_type j = 0; j < nc-1; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3773 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3774 D[j] = std::real(data(ii++)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3775 DL[j] = data(ii); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3776 ii += 2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3777 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3778 D[nc-1] = std::real(data(ii)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3779 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3780 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3781 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3782 D[0] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3783 for (octave_idx_type i = 0; i < nr - 1; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3784 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3785 D[i+1] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3786 DL[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3787 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3788 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3789 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3790 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
|
3791 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3792 if (ridx(i) == j) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3793 D[j] = std::real(data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3794 else if (ridx(i) == j + 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3795 DL[j] = data(i); |
|
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 } |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3798 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3799 octave_idx_type b_nc = b.cols(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3800 retval = ComplexMatrix (b); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3801 Complex *result = retval.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3802 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3803 F77_XFCN (zptsv, ZPTSV, (nr, b_nc, D, DL, result, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3804 b.rows(), err)); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3805 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3806 if (err != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3807 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3808 err = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3809 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3810 typ = MatrixType::Tridiagonal; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3811 } |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3812 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3813 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3814 } |
| 5164 | 3815 |
| 5785 | 3816 if (typ == MatrixType::Tridiagonal) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3817 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3818 OCTAVE_LOCAL_BUFFER (Complex, DU, nr - 1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3819 OCTAVE_LOCAL_BUFFER (Complex, D, nr); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3820 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3821 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3822 if (mattype.is_dense ()) |
|
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 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3825 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3826 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
|
3827 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3828 D[j] = data(ii++); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3829 DL[j] = data(ii++); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3830 DU[j] = data(ii++); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3831 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3832 D[nc-1] = data(ii); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3833 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3834 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3835 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3836 D[0] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3837 for (octave_idx_type i = 0; i < nr - 1; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3838 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3839 D[i+1] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3840 DL[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3841 DU[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3842 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3843 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3844 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
3845 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3846 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3847 if (ridx(i) == j) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3848 D[j] = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3849 else if (ridx(i) == j + 1) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3850 DL[j] = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3851 else if (ridx(i) == j - 1) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3852 DU[j-1] = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3853 } |
|
07ebe522dac2
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10158
diff
changeset
|
3854 } |
|
07ebe522dac2
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10158
diff
changeset
|
3855 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3856 octave_idx_type b_nc = b.cols(); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3857 retval = ComplexMatrix (b); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3858 Complex *result = retval.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3859 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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11574
diff
changeset
|
3860 F77_XFCN (zgtsv, ZGTSV, (nr, b_nc, DL, D, DU, result, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3861 b.rows(), err)); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3862 |
|
07ebe522dac2
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10158
diff
changeset
|
3863 if (err != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3864 { |
|
07ebe522dac2
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10158
diff
changeset
|
3865 rcond = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3866 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3867 |
|
07ebe522dac2
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10158
diff
changeset
|
3868 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3869 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3870 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3871 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3872 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3873 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3874 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3875 ("matrix singular to machine precision"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3876 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3877 } |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3878 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3879 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3880 } |
| 5785 | 3881 else if (typ != MatrixType::Tridiagonal_Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3882 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 3883 } |
| 3884 | |
| 3885 return retval; | |
| 3886 } | |
| 3887 | |
| 3888 SparseComplexMatrix | |
| 5785 | 3889 SparseComplexMatrix::trisolve (MatrixType &mattype, const SparseMatrix& b, |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3890 octave_idx_type& err, double& rcond, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3891 solve_singularity_handler sing_handler, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3892 bool calc_cond) const |
| 5164 | 3893 { |
| 3894 SparseComplexMatrix retval; | |
| 3895 | |
| 5275 | 3896 octave_idx_type nr = rows (); |
| 3897 octave_idx_type nc = cols (); | |
| 5164 | 3898 err = 0; |
| 3899 | |
| 6924 | 3900 if (nr != nc || nr != b.rows ()) |
| 5164 | 3901 (*current_liboctave_error_handler) |
| 3902 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 3903 else if (nr == 0 || b.cols () == 0) |
| 3904 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5681 | 3905 else if (calc_cond) |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3906 (*current_liboctave_error_handler) |
| 5681 | 3907 ("calculation of condition number not implemented"); |
| 5164 | 3908 else |
| 3909 { | |
| 3910 // Print spparms("spumoni") info if requested | |
| 3911 int typ = mattype.type (); | |
| 3912 mattype.info (); | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
3913 |
| 5164 | 3914 // Note can't treat symmetric case as there is no dpttrf function |
| 5785 | 3915 if (typ == MatrixType::Tridiagonal || |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3916 typ == MatrixType::Tridiagonal_Hermitian) |
|
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 (Complex, DU2, nr - 2); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3919 OCTAVE_LOCAL_BUFFER (Complex, DU, nr - 1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3920 OCTAVE_LOCAL_BUFFER (Complex, D, nr); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3921 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
3922 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3923 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3924 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3925 if (mattype.is_dense ()) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3926 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3927 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3928 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3929 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
|
3930 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3931 D[j] = data(ii++); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3932 DL[j] = data(ii++); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3933 DU[j] = data(ii++); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3934 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3935 D[nc-1] = data(ii); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3936 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3937 else |
|
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[0] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3940 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
|
3941 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3942 D[i+1] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3943 DL[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3944 DU[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3945 } |
|
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 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3948 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
|
3949 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3950 if (ridx(i) == j) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3951 D[j] = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3952 else if (ridx(i) == j + 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3953 DL[j] = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3954 else if (ridx(i) == j - 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3955 DU[j-1] = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3956 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3957 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3958 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3959 F77_XFCN (zgttrf, ZGTTRF, (nr, DL, D, DU, DU2, pipvt, err)); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3960 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
3961 if (err != 0) |
|
10314
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 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3964 rcond = 0.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3965 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
3966 if (sing_handler) |
|
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 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
3969 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3970 } |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
3971 else |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3972 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
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diff
changeset
|
3973 ("matrix singular to machine precision"); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3974 |
|
11586
12df7854fa7c
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diff
changeset
|
3975 } |
|
12df7854fa7c
strip trailing whitespace from source files
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diff
changeset
|
3976 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3977 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3978 char job = 'N'; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3979 volatile octave_idx_type x_nz = b.nnz (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3980 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3981 retval = SparseComplexMatrix (nr, b_nc, x_nz); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3982 retval.xcidx(0) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3983 volatile octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3984 rcond = 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
3985 |
|
07ebe522dac2
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diff
changeset
|
3986 OCTAVE_LOCAL_BUFFER (Complex, work, nr); |
|
07ebe522dac2
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10158
diff
changeset
|
3987 |
|
07ebe522dac2
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diff
changeset
|
3988 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
3989 { |
|
07ebe522dac2
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diff
changeset
|
3990 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
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changeset
|
3991 work[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3992 for (octave_idx_type i = b.cidx(j); i < b.cidx(j+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3993 work[b.ridx(i)] = b.data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
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changeset
|
3994 |
|
11586
12df7854fa7c
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diff
changeset
|
3995 F77_XFCN (zgttrs, ZGTTRS, |
|
10314
07ebe522dac2
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changeset
|
3996 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
11586
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changeset
|
3997 nr, 1, DL, D, DU, DU2, pipvt, |
|
10314
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changeset
|
3998 work, b.rows (), err |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
3999 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4000 |
|
11586
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strip trailing whitespace from source files
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diff
changeset
|
4001 // Count non-zeros in work vector and adjust |
|
10314
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10158
diff
changeset
|
4002 // space in retval if needed |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4003 octave_idx_type new_nnz = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4004 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
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changeset
|
4005 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4006 new_nnz++; |
|
07ebe522dac2
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10158
diff
changeset
|
4007 |
|
07ebe522dac2
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10158
diff
changeset
|
4008 if (ii + new_nnz > x_nz) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4009 { |
|
07ebe522dac2
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diff
changeset
|
4010 // Resize the sparse matrix |
|
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4011 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
|
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untabify liboctave C++ sources
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|
4012 retval.change_capacity (sz); |
|
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untabify liboctave C++ sources
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|
4013 x_nz = sz; |
|
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untabify liboctave C++ sources
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|
4014 } |
|
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diff
changeset
|
4015 |
|
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|
4016 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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|
4017 if (work[i] != 0.) |
|
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untabify liboctave C++ sources
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|
4018 { |
|
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diff
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|
4019 retval.xridx(ii) = i; |
|
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untabify liboctave C++ sources
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|
4020 retval.xdata(ii++) = work[i]; |
|
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untabify liboctave C++ sources
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|
4021 } |
|
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untabify liboctave C++ sources
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|
4022 retval.xcidx(j+1) = ii; |
|
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untabify liboctave C++ sources
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diff
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|
4023 } |
|
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diff
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|
4024 |
|
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|
4025 retval.maybe_compress (); |
|
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untabify liboctave C++ sources
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diff
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|
4026 } |
|
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|
4027 } |
| 5785 | 4028 else if (typ != MatrixType::Tridiagonal_Hermitian) |
|
10314
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|
4029 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 4030 } |
| 4031 | |
| 4032 return retval; | |
| 4033 } | |
| 4034 | |
| 4035 ComplexMatrix | |
| 5785 | 4036 SparseComplexMatrix::trisolve (MatrixType &mattype, const ComplexMatrix& b, |
|
11586
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strip trailing whitespace from source files
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|
4037 octave_idx_type& err, double& rcond, |
|
10314
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|
4038 solve_singularity_handler sing_handler, |
|
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untabify liboctave C++ sources
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|
4039 bool calc_cond) const |
| 5164 | 4040 { |
| 4041 ComplexMatrix retval; | |
| 4042 | |
| 5275 | 4043 octave_idx_type nr = rows (); |
| 4044 octave_idx_type nc = cols (); | |
| 5164 | 4045 err = 0; |
| 4046 | |
| 6924 | 4047 if (nr != nc || nr != b.rows ()) |
| 5164 | 4048 (*current_liboctave_error_handler) |
| 4049 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 4050 else if (nr == 0 || b.cols () == 0) |
| 4051 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5681 | 4052 else if (calc_cond) |
|
11586
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John W. Eaton <jwe@octave.org>
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|
4053 (*current_liboctave_error_handler) |
| 5681 | 4054 ("calculation of condition number not implemented"); |
| 5164 | 4055 else |
| 4056 { | |
| 4057 // Print spparms("spumoni") info if requested | |
| 4058 volatile int typ = mattype.type (); | |
| 4059 mattype.info (); | |
|
11586
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|
4060 |
| 5785 | 4061 if (typ == MatrixType::Tridiagonal_Hermitian) |
|
10314
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untabify liboctave C++ sources
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|
4062 { |
|
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diff
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|
4063 OCTAVE_LOCAL_BUFFER (double, D, nr); |
|
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untabify liboctave C++ sources
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|
4064 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
|
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|
4065 |
|
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|
4066 if (mattype.is_dense ()) |
|
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untabify liboctave C++ sources
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diff
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|
4067 { |
|
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|
4068 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
4069 |
|
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changeset
|
4070 for (octave_idx_type j = 0; j < nc-1; j++) |
|
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untabify liboctave C++ sources
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diff
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|
4071 { |
|
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untabify liboctave C++ sources
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diff
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|
4072 D[j] = std::real(data(ii++)); |
|
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untabify liboctave C++ sources
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|
4073 DL[j] = data(ii); |
|
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untabify liboctave C++ sources
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|
4074 ii += 2; |
|
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untabify liboctave C++ sources
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diff
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|
4075 } |
|
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|
4076 D[nc-1] = std::real(data(ii)); |
|
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|
4077 } |
|
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diff
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|
4078 else |
|
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untabify liboctave C++ sources
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diff
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|
4079 { |
|
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|
4080 D[0] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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|
4081 for (octave_idx_type i = 0; i < nr - 1; i++) |
|
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untabify liboctave C++ sources
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diff
changeset
|
4082 { |
|
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untabify liboctave C++ sources
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diff
changeset
|
4083 D[i+1] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4084 DL[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4085 } |
|
07ebe522dac2
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diff
changeset
|
4086 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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changeset
|
4087 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4088 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4089 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4090 if (ridx(i) == j) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4091 D[j] = std::real (data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4092 else if (ridx(i) == j + 1) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4093 DL[j] = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4094 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4095 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4096 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4097 octave_idx_type b_nr = b.rows (); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4098 octave_idx_type b_nc = b.cols(); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4099 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4100 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4101 retval = ComplexMatrix (b); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4102 Complex *result = retval.fortran_vec (); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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diff
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|
4103 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4104 F77_XFCN (zptsv, ZPTSV, (nr, b_nc, D, DL, result, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4105 b_nr, err)); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4106 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4107 if (err != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4108 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4109 err = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4110 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4111 typ = MatrixType::Tridiagonal; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
4112 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4113 } |
| 5164 | 4114 |
| 5785 | 4115 if (typ == MatrixType::Tridiagonal) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4116 { |
|
07ebe522dac2
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diff
changeset
|
4117 OCTAVE_LOCAL_BUFFER (Complex, DU, nr - 1); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4118 OCTAVE_LOCAL_BUFFER (Complex, D, nr); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4119 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4120 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4121 if (mattype.is_dense ()) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4122 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4123 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4124 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4125 for (octave_idx_type j = 0; j < nc-1; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4126 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4127 D[j] = data(ii++); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4128 DL[j] = data(ii++); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4129 DU[j] = data(ii++); |
|
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untabify liboctave C++ sources
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diff
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|
4130 } |
|
07ebe522dac2
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diff
changeset
|
4131 D[nc-1] = data(ii); |
|
07ebe522dac2
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diff
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|
4132 } |
|
07ebe522dac2
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diff
changeset
|
4133 else |
|
07ebe522dac2
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diff
changeset
|
4134 { |
|
07ebe522dac2
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diff
changeset
|
4135 D[0] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4136 for (octave_idx_type i = 0; i < nr - 1; i++) |
|
07ebe522dac2
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|
4137 { |
|
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changeset
|
4138 D[i+1] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4139 DL[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4140 DU[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4141 } |
|
07ebe522dac2
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diff
changeset
|
4142 |
|
07ebe522dac2
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changeset
|
4143 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
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changeset
|
4144 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
|
07ebe522dac2
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changeset
|
4145 { |
|
07ebe522dac2
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changeset
|
4146 if (ridx(i) == j) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4147 D[j] = data(i); |
|
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untabify liboctave C++ sources
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changeset
|
4148 else if (ridx(i) == j + 1) |
|
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changeset
|
4149 DL[j] = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4150 else if (ridx(i) == j - 1) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4151 DU[j-1] = data(i); |
|
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untabify liboctave C++ sources
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diff
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|
4152 } |
|
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untabify liboctave C++ sources
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diff
changeset
|
4153 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4154 |
|
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untabify liboctave C++ sources
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diff
changeset
|
4155 octave_idx_type b_nr = b.rows(); |
|
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untabify liboctave C++ sources
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|
4156 octave_idx_type b_nc = b.cols(); |
|
07ebe522dac2
untabify liboctave C++ sources
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|
4157 rcond = 1.; |
|
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untabify liboctave C++ sources
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diff
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|
4158 |
|
07ebe522dac2
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diff
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|
4159 retval = ComplexMatrix (b); |
|
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untabify liboctave C++ sources
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|
4160 Complex *result = retval.fortran_vec (); |
|
11586
12df7854fa7c
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diff
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|
4161 |
|
12df7854fa7c
strip trailing whitespace from source files
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diff
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|
4162 F77_XFCN (zgtsv, ZGTSV, (nr, b_nc, DL, D, DU, result, |
|
10314
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untabify liboctave C++ sources
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|
4163 b_nr, err)); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4164 |
|
07ebe522dac2
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changeset
|
4165 if (err != 0) |
|
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untabify liboctave C++ sources
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diff
changeset
|
4166 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4167 rcond = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
4168 err = -2; |
|
11586
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changeset
|
4169 |
|
10314
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diff
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|
4170 if (sing_handler) |
|
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untabify liboctave C++ sources
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10158
diff
changeset
|
4171 { |
|
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diff
changeset
|
4172 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
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|
4173 mattype.mark_as_rectangular (); |
|
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untabify liboctave C++ sources
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diff
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|
4174 } |
|
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diff
changeset
|
4175 else |
|
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untabify liboctave C++ sources
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diff
changeset
|
4176 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
4177 ("matrix singular to machine precision"); |
|
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untabify liboctave C++ sources
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diff
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|
4178 } |
|
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diff
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|
4179 } |
| 5785 | 4180 else if (typ != MatrixType::Tridiagonal_Hermitian) |
|
10314
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untabify liboctave C++ sources
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diff
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|
4181 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 4182 } |
| 4183 | |
| 4184 return retval; | |
| 4185 } | |
| 4186 | |
| 4187 SparseComplexMatrix | |
|
11586
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strip trailing whitespace from source files
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|
4188 SparseComplexMatrix::trisolve (MatrixType &mattype, |
|
12df7854fa7c
strip trailing whitespace from source files
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|
4189 const SparseComplexMatrix& b, |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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|
4190 octave_idx_type& err, double& rcond, |
|
10314
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changeset
|
4191 solve_singularity_handler sing_handler, |
|
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
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|
4192 bool calc_cond) const |
| 5164 | 4193 { |
| 4194 SparseComplexMatrix retval; | |
| 4195 | |
| 5275 | 4196 octave_idx_type nr = rows (); |
| 4197 octave_idx_type nc = cols (); | |
| 5164 | 4198 err = 0; |
| 4199 | |
| 6924 | 4200 if (nr != nc || nr != b.rows ()) |
| 5164 | 4201 (*current_liboctave_error_handler) |
| 4202 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 4203 else if (nr == 0 || b.cols () == 0) |
| 4204 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5681 | 4205 else if (calc_cond) |
|
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John W. Eaton <jwe@octave.org>
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diff
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|
4206 (*current_liboctave_error_handler) |
| 5681 | 4207 ("calculation of condition number not implemented"); |
| 5164 | 4208 else |
| 4209 { | |
| 4210 // Print spparms("spumoni") info if requested | |
| 4211 int typ = mattype.type (); | |
| 4212 mattype.info (); | |
|
11586
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|
4213 |
| 5164 | 4214 // Note can't treat symmetric case as there is no dpttrf function |
| 5785 | 4215 if (typ == MatrixType::Tridiagonal || |
|
10314
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untabify liboctave C++ sources
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|
4216 typ == MatrixType::Tridiagonal_Hermitian) |
|
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untabify liboctave C++ sources
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diff
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|
4217 { |
|
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diff
changeset
|
4218 OCTAVE_LOCAL_BUFFER (Complex, DU2, nr - 2); |
|
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untabify liboctave C++ sources
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|
4219 OCTAVE_LOCAL_BUFFER (Complex, DU, nr - 1); |
|
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untabify liboctave C++ sources
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|
4220 OCTAVE_LOCAL_BUFFER (Complex, D, nr); |
|
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untabify liboctave C++ sources
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|
4221 OCTAVE_LOCAL_BUFFER (Complex, DL, nr - 1); |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
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11523
diff
changeset
|
4222 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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|
4223 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
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diff
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|
4224 |
|
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untabify liboctave C++ sources
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diff
changeset
|
4225 if (mattype.is_dense ()) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4226 { |
|
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diff
changeset
|
4227 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4228 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4229 for (octave_idx_type j = 0; j < nc-1; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4230 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4231 D[j] = data(ii++); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
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|
4232 DL[j] = data(ii++); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4233 DU[j] = data(ii++); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4234 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4235 D[nc-1] = data(ii); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4236 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4237 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4238 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4239 D[0] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4240 for (octave_idx_type i = 0; i < nr - 1; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4241 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4242 D[i+1] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4243 DL[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4244 DU[i] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4245 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4246 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4247 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4248 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
|
4249 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4250 if (ridx(i) == j) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4251 D[j] = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4252 else if (ridx(i) == j + 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4253 DL[j] = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4254 else if (ridx(i) == j - 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4255 DU[j-1] = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4256 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4257 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4258 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4259 F77_XFCN (zgttrf, ZGTTRF, (nr, DL, D, DU, DU2, pipvt, err)); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4260 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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changeset
|
4261 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4262 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4263 rcond = 0.0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4264 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4265 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4266 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4267 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4268 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4269 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4270 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4271 else |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4272 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4273 ("matrix singular to machine precision"); |
|
11586
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|
4274 } |
|
12df7854fa7c
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diff
changeset
|
4275 else |
|
12df7854fa7c
strip trailing whitespace from source files
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changeset
|
4276 { |
|
10314
07ebe522dac2
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changeset
|
4277 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4278 char job = 'N'; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4279 octave_idx_type b_nr = b.rows (); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4280 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4281 OCTAVE_LOCAL_BUFFER (Complex, Bx, b_nr); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4282 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4283 // Take a first guess that the number of non-zero terms |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4284 // will be as many as in b |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4285 volatile octave_idx_type x_nz = b.nnz (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4286 volatile octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4287 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4288 |
|
07ebe522dac2
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diff
changeset
|
4289 retval.xcidx(0) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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changeset
|
4290 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4291 { |
|
07ebe522dac2
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diff
changeset
|
4292 |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
4293 for (octave_idx_type i = 0; i < b_nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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changeset
|
4294 Bx[i] = b (i,j); |
|
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untabify liboctave C++ sources
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diff
changeset
|
4295 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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diff
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|
4296 F77_XFCN (zgttrs, ZGTTRS, |
|
10314
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|
4297 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
11586
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John W. Eaton <jwe@octave.org>
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diff
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|
4298 nr, 1, DL, D, DU, DU2, pipvt, |
|
10314
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|
4299 Bx, b_nr, err |
|
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untabify liboctave C++ sources
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changeset
|
4300 F77_CHAR_ARG_LEN (1))); |
|
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untabify liboctave C++ sources
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diff
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|
4301 |
|
07ebe522dac2
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changeset
|
4302 if (err != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4303 { |
|
07ebe522dac2
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diff
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|
4304 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4305 ("SparseComplexMatrix::solve solve failed"); |
|
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untabify liboctave C++ sources
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diff
changeset
|
4306 |
|
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diff
changeset
|
4307 err = -1; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4308 break; |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
4309 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4310 |
|
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strip trailing whitespace from source files
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diff
changeset
|
4311 // Count non-zeros in work vector and adjust |
|
10314
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diff
changeset
|
4312 // space in retval if needed |
|
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untabify liboctave C++ sources
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changeset
|
4313 octave_idx_type new_nnz = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4314 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4315 if (Bx[i] != 0.) |
|
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untabify liboctave C++ sources
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changeset
|
4316 new_nnz++; |
|
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untabify liboctave C++ sources
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diff
changeset
|
4317 |
|
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untabify liboctave C++ sources
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diff
changeset
|
4318 if (ii + new_nnz > x_nz) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4319 { |
|
07ebe522dac2
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diff
changeset
|
4320 // Resize the sparse matrix |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4321 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4322 retval.change_capacity (sz); |
|
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untabify liboctave C++ sources
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diff
changeset
|
4323 x_nz = sz; |
|
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untabify liboctave C++ sources
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diff
changeset
|
4324 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4325 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4326 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4327 if (Bx[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4328 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4329 retval.xridx(ii) = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4330 retval.xdata(ii++) = Bx[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4331 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4332 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4333 retval.xcidx(j+1) = ii; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4334 } |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4335 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4336 retval.maybe_compress (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4337 } |
|
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untabify liboctave C++ sources
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diff
changeset
|
4338 } |
| 5785 | 4339 else if (typ != MatrixType::Tridiagonal_Hermitian) |
|
10314
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untabify liboctave C++ sources
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parents:
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diff
changeset
|
4340 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 4341 } |
| 4342 | |
| 4343 return retval; | |
| 4344 } | |
| 4345 | |
| 4346 ComplexMatrix | |
| 5785 | 4347 SparseComplexMatrix::bsolve (MatrixType &mattype, const Matrix& b, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4348 octave_idx_type& err, double& rcond, |
|
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untabify liboctave C++ sources
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diff
changeset
|
4349 solve_singularity_handler sing_handler, |
|
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untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
4350 bool calc_cond) const |
| 5164 | 4351 { |
| 4352 ComplexMatrix retval; | |
| 4353 | |
| 5275 | 4354 octave_idx_type nr = rows (); |
| 4355 octave_idx_type nc = cols (); | |
| 5164 | 4356 err = 0; |
| 4357 | |
| 6924 | 4358 if (nr != nc || nr != b.rows ()) |
| 5164 | 4359 (*current_liboctave_error_handler) |
| 4360 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 4361 else if (nr == 0 || b.cols () == 0) |
| 4362 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5164 | 4363 else |
| 4364 { | |
| 4365 // Print spparms("spumoni") info if requested | |
| 4366 volatile int typ = mattype.type (); | |
| 4367 mattype.info (); | |
| 4368 | |
| 5785 | 4369 if (typ == MatrixType::Banded_Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
4370 { |
|
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untabify liboctave C++ sources
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diff
changeset
|
4371 octave_idx_type n_lower = mattype.nlower (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4372 octave_idx_type ldm = n_lower + 1; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4373 ComplexMatrix m_band (ldm, nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4374 Complex *tmp_data = m_band.fortran_vec (); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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diff
changeset
|
4375 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4376 if (! mattype.is_dense ()) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4377 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4378 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4379 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4380 for (octave_idx_type j = 0; j < ldm; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4381 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4382 tmp_data[ii++] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4383 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4384 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4385 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4386 for (octave_idx_type i = cidx(j); i < cidx(j+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4387 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4388 octave_idx_type ri = ridx (i); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4389 if (ri >= j) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4390 m_band(ri - j, j) = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4391 } |
|
07ebe522dac2
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10158
diff
changeset
|
4392 |
|
07ebe522dac2
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diff
changeset
|
4393 // Calculate the norm of the matrix, for later use. |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4394 double anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4395 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4396 anorm = m_band.abs().sum().row(0).max(); |
|
07ebe522dac2
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diff
changeset
|
4397 |
|
07ebe522dac2
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changeset
|
4398 char job = 'L'; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4399 F77_XFCN (zpbtrf, ZPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
4400 nr, n_lower, tmp_data, ldm, err |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
4401 F77_CHAR_ARG_LEN (1))); |
|
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changeset
|
4402 |
|
12df7854fa7c
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changeset
|
4403 if (err != 0) |
|
10314
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changeset
|
4404 { |
|
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changeset
|
4405 rcond = 0.0; |
|
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untabify liboctave C++ sources
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changeset
|
4406 // Matrix is not positive definite!! Fall through to |
|
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changeset
|
4407 // unsymmetric banded solver. |
|
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changeset
|
4408 mattype.mark_as_unsymmetric (); |
|
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untabify liboctave C++ sources
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changeset
|
4409 typ = MatrixType::Banded; |
|
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changeset
|
4410 err = 0; |
|
11586
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changeset
|
4411 } |
|
12df7854fa7c
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changeset
|
4412 else |
|
10314
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changeset
|
4413 { |
|
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changeset
|
4414 if (calc_cond) |
|
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changeset
|
4415 { |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
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11523
diff
changeset
|
4416 Array<Complex> z (dim_vector (2 * nr, 1)); |
|
10314
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changeset
|
4417 Complex *pz = z.fortran_vec (); |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
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11523
diff
changeset
|
4418 Array<double> iz (dim_vector (nr, 1)); |
|
10314
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changeset
|
4419 double *piz = iz.fortran_vec (); |
|
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changeset
|
4420 |
|
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changeset
|
4421 F77_XFCN (zpbcon, ZPBCON, |
|
10314
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changeset
|
4422 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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changeset
|
4423 nr, n_lower, tmp_data, ldm, |
|
07ebe522dac2
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changeset
|
4424 anorm, rcond, pz, piz, err |
|
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changeset
|
4425 F77_CHAR_ARG_LEN (1))); |
|
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untabify liboctave C++ sources
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changeset
|
4426 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4427 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4428 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4429 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4430 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4431 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4432 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4433 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4434 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4435 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4436 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4437 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4438 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4439 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4440 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4441 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4442 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4443 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4444 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4445 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4446 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4447 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4448 rcond = 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4449 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4450 if (err == 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4451 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4452 retval = ComplexMatrix (b); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4453 Complex *result = retval.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4454 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4455 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4456 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4457 F77_XFCN (zpbtrs, ZPBTRS, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4458 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4459 nr, n_lower, b_nc, tmp_data, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4460 ldm, result, b.rows(), err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4461 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4462 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4463 if (err != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4464 { |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4465 (*current_liboctave_error_handler) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4466 ("SparseMatrix::solve solve failed"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4467 err = -1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4468 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4469 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4470 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4471 } |
| 5164 | 4472 |
| 5785 | 4473 if (typ == MatrixType::Banded) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4474 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4475 // 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
|
4476 octave_idx_type n_upper = mattype.nupper (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4477 octave_idx_type n_lower = mattype.nlower (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4478 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
|
4479 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4480 ComplexMatrix m_band (ldm, nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4481 Complex *tmp_data = m_band.fortran_vec (); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4482 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4483 if (! mattype.is_dense ()) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4484 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4485 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4486 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4487 for (octave_idx_type j = 0; j < ldm; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4488 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4489 tmp_data[ii++] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4490 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4491 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4492 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4493 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
|
4494 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
|
4495 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4496 // Calculate the norm of the matrix, for later use. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4497 double anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4498 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4499 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4500 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4501 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4502 double atmp = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4503 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
|
4504 atmp += std::abs(data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4505 if (atmp > anorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4506 anorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4507 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4508 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4509 |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
4510 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4511 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4512 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4513 F77_XFCN (zgbtrf, ZGBTRF, (nr, nc, n_lower, n_upper, tmp_data, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4514 ldm, pipvt, err)); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4515 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4516 // Throw-away extra info LAPACK gives so as to not |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4517 // change output. |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4518 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4519 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4520 rcond = 0.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4521 err = -2; |
|
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 (sing_handler) |
|
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 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4526 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4527 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4528 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4529 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4530 ("matrix singular to machine precision"); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4531 } |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4532 else |
|
10314
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 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4536 char job = '1'; |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
4537 Array<Complex> z (dim_vector (2 * nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4538 Complex *pz = z.fortran_vec (); |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
4539 Array<double> iz (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4540 double *piz = iz.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4541 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4542 F77_XFCN (zgbcon, ZGBCON, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4543 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4544 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4545 anorm, rcond, pz, piz, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4546 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4547 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
4548 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4549 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4550 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4551 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4552 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4553 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4554 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4555 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4556 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4557 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4558 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4559 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4560 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4561 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4562 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4563 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4564 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4565 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4566 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4567 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4568 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4569 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4570 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4571 if (err == 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4572 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4573 retval = ComplexMatrix (b); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4574 Complex *result = retval.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4575 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4576 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4577 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4578 char job = 'N'; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4579 F77_XFCN (zgbtrs, ZGBTRS, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4580 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4581 nr, n_lower, n_upper, b_nc, tmp_data, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4582 ldm, pipvt, result, b.rows(), err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4583 F77_CHAR_ARG_LEN (1))); |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4586 } |
| 5785 | 4587 else if (typ != MatrixType::Banded_Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4588 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 4589 } |
| 4590 | |
| 4591 return retval; | |
| 4592 } | |
| 4593 | |
| 4594 SparseComplexMatrix | |
| 5785 | 4595 SparseComplexMatrix::bsolve (MatrixType &mattype, const SparseMatrix& b, |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4596 octave_idx_type& err, double& rcond, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4597 solve_singularity_handler sing_handler, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4598 bool calc_cond) const |
| 5164 | 4599 { |
| 4600 SparseComplexMatrix retval; | |
| 4601 | |
| 5275 | 4602 octave_idx_type nr = rows (); |
| 4603 octave_idx_type nc = cols (); | |
| 5164 | 4604 err = 0; |
| 4605 | |
| 6924 | 4606 if (nr != nc || nr != b.rows ()) |
| 5164 | 4607 (*current_liboctave_error_handler) |
| 4608 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 4609 else if (nr == 0 || b.cols () == 0) |
| 4610 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5164 | 4611 else |
| 4612 { | |
| 4613 // Print spparms("spumoni") info if requested | |
| 4614 volatile int typ = mattype.type (); | |
| 4615 mattype.info (); | |
| 4616 | |
| 5785 | 4617 if (typ == MatrixType::Banded_Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4618 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4619 octave_idx_type n_lower = mattype.nlower (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4620 octave_idx_type ldm = n_lower + 1; |
|
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 ComplexMatrix m_band (ldm, nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4623 Complex *tmp_data = m_band.fortran_vec (); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
4624 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4625 if (! mattype.is_dense ()) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4626 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4627 octave_idx_type ii = 0; |
|
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 for (octave_idx_type j = 0; j < ldm; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4630 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4631 tmp_data[ii++] = 0.; |
|
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 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4634 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4635 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
|
4636 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4637 octave_idx_type ri = ridx (i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4638 if (ri >= j) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4639 m_band(ri - j, j) = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4640 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4641 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4642 // Calculate the norm of the matrix, for later use. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4643 double anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4644 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4645 anorm = m_band.abs().sum().row(0).max(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4646 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4647 char job = 'L'; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4648 F77_XFCN (zpbtrf, ZPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4649 nr, n_lower, tmp_data, ldm, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4650 F77_CHAR_ARG_LEN (1))); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4651 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4652 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4653 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4654 rcond = 0.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4655 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4656 typ = MatrixType::Banded; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4657 err = 0; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4658 } |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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diff
changeset
|
4659 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4660 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4661 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4662 { |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
4663 Array<Complex> z (dim_vector (2 * nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4664 Complex *pz = z.fortran_vec (); |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
4665 Array<double> iz (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4666 double *piz = iz.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4667 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
4668 F77_XFCN (zpbcon, ZPBCON, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4669 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4670 nr, n_lower, tmp_data, ldm, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4671 anorm, rcond, pz, piz, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4672 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4673 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
4674 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4675 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4676 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4677 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4678 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4679 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4680 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
4681 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
4682 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4683 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4684 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4685 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4686 mattype.mark_as_rectangular (); |
|
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 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4689 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4690 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4691 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4692 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4693 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4694 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4695 rcond = 1.0; |
|
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 if (err == 0) |
|
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 octave_idx_type b_nr = b.rows (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4700 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4701 OCTAVE_LOCAL_BUFFER (Complex, Bx, b_nr); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4702 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4703 // 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
|
4704 // will be as many as in b |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4705 volatile octave_idx_type x_nz = b.nnz (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4706 volatile octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4707 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4708 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4709 retval.xcidx(0) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4710 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
|
4711 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4712 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
|
4713 Bx[i] = b.elem (i, j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4714 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4715 F77_XFCN (zpbtrs, ZPBTRS, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4716 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4717 nr, n_lower, 1, tmp_data, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4718 ldm, Bx, b_nr, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4719 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4720 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4721 if (err != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4722 { |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4723 (*current_liboctave_error_handler) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4724 ("SparseComplexMatrix::solve solve failed"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4725 err = -1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4726 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4727 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4728 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4729 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
|
4730 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4731 Complex tmp = Bx[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4732 if (tmp != 0.0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4733 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4734 if (ii == x_nz) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4735 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4736 // Resize the sparse matrix |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4737 octave_idx_type sz = x_nz * |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4738 (b_nc - j) / b_nc; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4739 sz = (sz > 10 ? sz : 10) + x_nz; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4740 retval.change_capacity (sz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4741 x_nz = sz; |
|
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 retval.xdata(ii) = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4744 retval.xridx(ii++) = i; |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4747 retval.xcidx(j+1) = ii; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4748 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4749 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4750 retval.maybe_compress (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4751 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4752 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4753 } |
| 5164 | 4754 |
| 5785 | 4755 if (typ == MatrixType::Banded) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4756 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4757 // 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
|
4758 octave_idx_type n_upper = mattype.nupper (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4759 octave_idx_type n_lower = mattype.nlower (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4760 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
|
4761 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4762 ComplexMatrix m_band (ldm, nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4763 Complex *tmp_data = m_band.fortran_vec (); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4764 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4765 if (! mattype.is_dense ()) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4766 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4767 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4768 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4769 for (octave_idx_type j = 0; j < ldm; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4770 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4771 tmp_data[ii++] = 0.; |
|
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>
parents:
10158
diff
changeset
|
4773 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4774 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4775 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
|
4776 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
|
4777 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4778 // Calculate the norm of the matrix, for later use. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4779 double anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4780 if (calc_cond) |
|
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 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4783 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4784 double atmp = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4785 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
|
4786 atmp += std::abs(data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4787 if (atmp > anorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4788 anorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4789 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4790 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4791 |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
4792 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4793 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4794 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4795 F77_XFCN (zgbtrf, ZGBTRF, (nr, nr, n_lower, n_upper, tmp_data, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4796 ldm, pipvt, err)); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4797 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4798 if (err != 0) |
|
10314
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 rcond = 0.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4801 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4802 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4803 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4804 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4805 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4806 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4807 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4808 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4809 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4810 ("matrix singular to machine precision"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4811 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4812 } |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4813 else |
|
10314
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 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4816 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4817 char job = '1'; |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
4818 Array<Complex> z (dim_vector (2 * nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4819 Complex *pz = z.fortran_vec (); |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
4820 Array<double> iz (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4821 double *piz = iz.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4822 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4823 F77_XFCN (zgbcon, ZGBCON, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4824 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4825 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4826 anorm, rcond, pz, piz, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4827 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4828 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4829 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4830 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4831 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4832 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4833 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4834 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
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 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4837 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4838 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4839 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4840 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4841 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4842 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4843 else |
|
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 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4846 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4847 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4848 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4849 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4850 rcond = 1.; |
|
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 if (err == 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4853 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4854 char job = 'N'; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4855 volatile octave_idx_type x_nz = b.nnz (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4856 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4857 retval = SparseComplexMatrix (nr, b_nc, x_nz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4858 retval.xcidx(0) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4859 volatile octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4860 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4861 OCTAVE_LOCAL_BUFFER (Complex, work, nr); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4862 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4863 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
|
4864 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4865 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4866 work[i] = 0.; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4867 for (octave_idx_type i = b.cidx(j); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4868 i < b.cidx(j+1); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4869 work[b.ridx(i)] = b.data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4870 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4871 F77_XFCN (zgbtrs, ZGBTRS, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4872 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4873 nr, n_lower, n_upper, 1, tmp_data, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4874 ldm, pipvt, work, b.rows (), err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4875 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4876 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4877 // Count non-zeros in work vector and adjust |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4878 // space in retval if needed |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4879 octave_idx_type new_nnz = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4880 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4881 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4882 new_nnz++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4883 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4884 if (ii + new_nnz > x_nz) |
|
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 // Resize the sparse matrix |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4887 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
|
4888 retval.change_capacity (sz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4889 x_nz = sz; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4890 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4891 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4892 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4893 if (work[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4894 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4895 retval.xridx(ii) = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4896 retval.xdata(ii++) = work[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4897 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4898 retval.xcidx(j+1) = ii; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4899 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4900 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4901 retval.maybe_compress (); |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4904 } |
| 5785 | 4905 else if (typ != MatrixType::Banded_Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4906 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 4907 } |
| 4908 | |
| 4909 return retval; | |
| 4910 } | |
| 4911 | |
| 4912 ComplexMatrix | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4913 SparseComplexMatrix::bsolve (MatrixType &mattype, const ComplexMatrix& b, |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4914 octave_idx_type& err, double& rcond, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4915 solve_singularity_handler sing_handler, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4916 bool calc_cond) const |
| 5164 | 4917 { |
| 4918 ComplexMatrix retval; | |
| 4919 | |
| 5275 | 4920 octave_idx_type nr = rows (); |
| 4921 octave_idx_type nc = cols (); | |
| 5164 | 4922 err = 0; |
| 4923 | |
| 6924 | 4924 if (nr != nc || nr != b.rows ()) |
| 5164 | 4925 (*current_liboctave_error_handler) |
| 4926 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 4927 else if (nr == 0 || b.cols () == 0) |
| 4928 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5164 | 4929 else |
| 4930 { | |
| 4931 // Print spparms("spumoni") info if requested | |
| 4932 volatile int typ = mattype.type (); | |
| 4933 mattype.info (); | |
| 4934 | |
| 5785 | 4935 if (typ == MatrixType::Banded_Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4936 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4937 octave_idx_type n_lower = mattype.nlower (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4938 octave_idx_type ldm = n_lower + 1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4939 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4940 ComplexMatrix m_band (ldm, nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4941 Complex *tmp_data = m_band.fortran_vec (); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4942 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4943 if (! mattype.is_dense ()) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4944 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4945 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4946 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4947 for (octave_idx_type j = 0; j < ldm; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4948 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4949 tmp_data[ii++] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4950 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4951 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4952 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4953 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
|
4954 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4955 octave_idx_type ri = ridx (i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4956 if (ri >= j) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4957 m_band(ri - j, j) = data(i); |
|
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 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4960 // Calculate the norm of the matrix, for later use. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4961 double anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4962 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4963 anorm = m_band.abs().sum().row(0).max(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4964 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4965 char job = 'L'; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4966 F77_XFCN (zpbtrf, ZPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4967 nr, n_lower, tmp_data, ldm, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4968 F77_CHAR_ARG_LEN (1))); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4969 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4970 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4971 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4972 // Matrix is not positive definite!! Fall through to |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4973 // unsymmetric banded solver. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4974 rcond = 0.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4975 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4976 typ = MatrixType::Banded; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4977 err = 0; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4978 } |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4979 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4980 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4981 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4982 { |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
4983 Array<Complex> z (dim_vector (2 * nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4984 Complex *pz = z.fortran_vec (); |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
4985 Array<double> iz (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4986 double *piz = iz.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4987 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4988 F77_XFCN (zpbcon, ZPBCON, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4989 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4990 nr, n_lower, tmp_data, ldm, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4991 anorm, rcond, pz, piz, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4992 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4993 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
4994 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4995 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4996 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4997 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4998 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
4999 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5000 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5001 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5002 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5003 if (sing_handler) |
|
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 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5006 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5007 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5008 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5009 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5010 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5011 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5012 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5013 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5014 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5015 rcond = 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5016 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5017 if (err == 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5018 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5019 octave_idx_type b_nr = b.rows (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5020 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5021 retval = ComplexMatrix (b); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5022 Complex *result = retval.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5023 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5024 F77_XFCN (zpbtrs, ZPBTRS, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5025 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5026 nr, n_lower, b_nc, tmp_data, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5027 ldm, result, b_nr, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5028 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5029 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5030 if (err != 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5031 { |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5032 (*current_liboctave_error_handler) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5033 ("SparseComplexMatrix::solve solve failed"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5034 err = -1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5035 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5036 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5037 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5038 } |
| 5164 | 5039 |
| 5785 | 5040 if (typ == MatrixType::Banded) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5041 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5042 // 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
|
5043 octave_idx_type n_upper = mattype.nupper (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5044 octave_idx_type n_lower = mattype.nlower (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5045 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
|
5046 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5047 ComplexMatrix m_band (ldm, nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5048 Complex *tmp_data = m_band.fortran_vec (); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5049 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5050 if (! mattype.is_dense ()) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5051 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5052 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5053 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5054 for (octave_idx_type j = 0; j < ldm; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5055 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5056 tmp_data[ii++] = 0.; |
|
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 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5059 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5060 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
|
5061 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
|
5062 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5063 // Calculate the norm of the matrix, for later use. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5064 double anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5065 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5066 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5067 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5068 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5069 double atmp = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5070 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
|
5071 atmp += std::abs(data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5072 if (atmp > anorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5073 anorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5074 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5075 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5076 |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
5077 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5078 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5079 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5080 F77_XFCN (zgbtrf, ZGBTRF, (nr, nr, n_lower, n_upper, tmp_data, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5081 ldm, pipvt, err)); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5082 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5083 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5084 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5085 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5086 rcond = 0.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5087 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5088 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5089 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5090 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5091 mattype.mark_as_rectangular (); |
|
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 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5094 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5095 ("matrix singular to machine precision"); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5096 } |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5097 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5098 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5099 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5100 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5101 char job = '1'; |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
5102 Array<Complex> z (dim_vector (2 * nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5103 Complex *pz = z.fortran_vec (); |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
5104 Array<double> iz (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5105 double *piz = iz.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5106 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5107 F77_XFCN (zgbcon, ZGBCON, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5108 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5109 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5110 anorm, rcond, pz, piz, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5111 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5112 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5113 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5114 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5115 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5116 volatile double rcond_plus_one = rcond + 1.0; |
|
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 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
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 err = -2; |
|
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 if (sing_handler) |
|
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 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5125 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5126 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5127 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5128 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5129 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5130 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5131 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5132 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5133 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5134 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5135 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5136 if (err == 0) |
|
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 char job = 'N'; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5139 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5140 retval = ComplexMatrix (b); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5141 Complex *result = retval.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5142 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5143 F77_XFCN (zgbtrs, ZGBTRS, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5144 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5145 nr, n_lower, n_upper, b_nc, tmp_data, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5146 ldm, pipvt, result, b.rows (), err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5147 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5148 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5149 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5150 } |
| 5785 | 5151 else if (typ != MatrixType::Banded_Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5152 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 5153 } |
| 5154 | |
| 5155 return retval; | |
| 5156 } | |
| 5157 | |
| 5158 SparseComplexMatrix | |
| 5785 | 5159 SparseComplexMatrix::bsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5160 octave_idx_type& err, double& rcond, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5161 solve_singularity_handler sing_handler, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5162 bool calc_cond) const |
| 5164 | 5163 { |
| 5164 SparseComplexMatrix retval; | |
| 5165 | |
| 5275 | 5166 octave_idx_type nr = rows (); |
| 5167 octave_idx_type nc = cols (); | |
| 5164 | 5168 err = 0; |
| 5169 | |
| 6924 | 5170 if (nr != nc || nr != b.rows ()) |
| 5164 | 5171 (*current_liboctave_error_handler) |
| 5172 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 5173 else if (nr == 0 || b.cols () == 0) |
| 5174 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5164 | 5175 else |
| 5176 { | |
| 5177 // Print spparms("spumoni") info if requested | |
| 5178 volatile int typ = mattype.type (); | |
| 5179 mattype.info (); | |
| 5180 | |
| 5785 | 5181 if (typ == MatrixType::Banded_Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5182 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5183 octave_idx_type n_lower = mattype.nlower (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5184 octave_idx_type ldm = n_lower + 1; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5185 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5186 ComplexMatrix m_band (ldm, nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5187 Complex *tmp_data = m_band.fortran_vec (); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
5188 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
5189 if (! mattype.is_dense ()) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5190 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5191 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5192 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5193 for (octave_idx_type j = 0; j < ldm; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5194 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5195 tmp_data[ii++] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5196 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5197 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5198 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5199 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
|
5200 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5201 octave_idx_type ri = ridx (i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5202 if (ri >= j) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5203 m_band(ri - j, j) = data(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5204 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5205 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5206 // Calculate the norm of the matrix, for later use. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5207 double anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5208 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5209 anorm = m_band.abs().sum().row(0).max(); |
|
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 char job = 'L'; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5212 F77_XFCN (zpbtrf, ZPBTRF, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5213 nr, n_lower, tmp_data, ldm, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5214 F77_CHAR_ARG_LEN (1))); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5215 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5216 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5217 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5218 // Matrix is not positive definite!! Fall through to |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5219 // unsymmetric banded solver. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5220 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5221 typ = MatrixType::Banded; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5222 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5223 rcond = 0.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5224 err = 0; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5225 } |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5226 else |
|
10314
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 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5229 { |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
5230 Array<Complex> z (dim_vector (2 * nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5231 Complex *pz = z.fortran_vec (); |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
5232 Array<double> iz (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5233 double *piz = iz.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5234 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5235 F77_XFCN (zpbcon, ZPBCON, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5236 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5237 nr, n_lower, tmp_data, ldm, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5238 anorm, rcond, pz, piz, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5239 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5240 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5241 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5242 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5243 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5244 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5245 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5246 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5247 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5248 err = -2; |
|
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 if (sing_handler) |
|
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 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5253 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5254 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5255 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5256 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5257 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5258 rcond); |
|
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 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5261 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5262 rcond = 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5263 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5264 if (err == 0) |
|
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 octave_idx_type b_nr = b.rows (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5267 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5268 OCTAVE_LOCAL_BUFFER (Complex, Bx, b_nr); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5269 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5270 // 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
|
5271 // will be as many as in b |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5272 volatile octave_idx_type x_nz = b.nnz (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5273 volatile octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5274 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5275 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5276 retval.xcidx(0) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5277 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
|
5278 { |
|
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 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
|
5281 Bx[i] = b (i,j); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5282 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5283 F77_XFCN (zpbtrs, ZPBTRS, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5284 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5285 nr, n_lower, 1, tmp_data, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5286 ldm, Bx, b_nr, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5287 F77_CHAR_ARG_LEN (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 { |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5291 (*current_liboctave_error_handler) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5292 ("SparseMatrix::solve solve failed"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5293 err = -1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5294 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5295 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5296 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5297 // Count non-zeros in work vector and adjust |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5298 // space in retval if needed |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5299 octave_idx_type new_nnz = 0; |
|
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 if (Bx[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5302 new_nnz++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5303 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5304 if (ii + new_nnz > x_nz) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5305 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5306 // Resize the sparse matrix |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5307 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
|
5308 retval.change_capacity (sz); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5309 x_nz = sz; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5310 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5311 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5312 for (octave_idx_type i = 0; i < nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5313 if (Bx[i] != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5314 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5315 retval.xridx(ii) = i; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5316 retval.xdata(ii++) = Bx[i]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5317 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5318 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5319 retval.xcidx(j+1) = ii; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5320 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5321 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5322 retval.maybe_compress (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5323 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5324 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5325 } |
| 5164 | 5326 |
| 5785 | 5327 if (typ == MatrixType::Banded) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5328 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5329 // 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
|
5330 octave_idx_type n_upper = mattype.nupper (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5331 octave_idx_type n_lower = mattype.nlower (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5332 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
|
5333 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5334 ComplexMatrix m_band (ldm, nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5335 Complex *tmp_data = m_band.fortran_vec (); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5336 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5337 if (! mattype.is_dense ()) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5338 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5339 octave_idx_type ii = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5340 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5341 for (octave_idx_type j = 0; j < ldm; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5342 for (octave_idx_type i = 0; i < nc; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5343 tmp_data[ii++] = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5344 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5345 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5346 for (octave_idx_type j = 0; j < nc; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5347 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
|
5348 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
|
5349 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5350 // Calculate the norm of the matrix, for later use. |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5351 double anorm; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5352 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5353 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5354 for (octave_idx_type j = 0; j < nr; j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5355 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5356 double atmp = 0.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5357 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
|
5358 atmp += std::abs(data(i)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5359 if (atmp > anorm) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5360 anorm = atmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5361 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5362 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5363 |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
5364 Array<octave_idx_type> ipvt (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5365 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5366 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5367 F77_XFCN (zgbtrf, ZGBTRF, (nr, nr, n_lower, n_upper, tmp_data, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5368 ldm, pipvt, err)); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5369 |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5370 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5371 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5372 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5373 rcond = 0.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5374 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5375 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5376 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5377 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5378 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5379 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5380 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5381 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5382 ("matrix singular to machine precision"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5383 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5384 } |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5385 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5386 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5387 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5388 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5389 char job = '1'; |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
5390 Array<Complex> z (dim_vector (2 * nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5391 Complex *pz = z.fortran_vec (); |
|
11570
57632dea2446
attempt better backward compatibility for Array constructors
John W. Eaton <jwe@octave.org>
parents:
11523
diff
changeset
|
5392 Array<double> iz (dim_vector (nr, 1)); |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5393 double *piz = iz.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5394 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5395 F77_XFCN (zgbcon, ZGBCON, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5396 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5397 nc, n_lower, n_upper, tmp_data, ldm, pipvt, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5398 anorm, rcond, pz, piz, err |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5399 F77_CHAR_ARG_LEN (1))); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5400 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5401 if (err != 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5402 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5403 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5404 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5405 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5406 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5407 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5408 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5409 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5410 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5411 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5412 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5413 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5414 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5415 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5416 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5417 ("matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5418 rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5419 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5420 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5421 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5422 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5423 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5424 if (err == 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5425 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5426 char job = 'N'; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5427 volatile octave_idx_type x_nz = b.nnz (); |
|
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5428 octave_idx_type b_nc = b.cols (); |
|
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|
5429 retval = SparseComplexMatrix (nr, b_nc, x_nz); |
|
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|
5430 retval.xcidx(0) = 0; |
|
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|
5431 volatile octave_idx_type ii = 0; |
|
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|
5432 |
|
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|
5433 OCTAVE_LOCAL_BUFFER (Complex, Bx, nr); |
|
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|
5434 |
|
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|
5435 for (volatile octave_idx_type j = 0; j < b_nc; j++) |
|
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|
5436 { |
|
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|
5437 for (octave_idx_type i = 0; i < nr; i++) |
|
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|
5438 Bx[i] = 0.; |
|
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|
5439 |
|
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|
5440 for (octave_idx_type i = b.cidx(j); |
|
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|
5441 i < b.cidx(j+1); i++) |
|
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|
5442 Bx[b.ridx(i)] = b.data(i); |
|
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|
5443 |
|
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|
5444 F77_XFCN (zgbtrs, ZGBTRS, |
|
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|
5445 (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
5446 nr, n_lower, n_upper, 1, tmp_data, |
|
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|
5447 ldm, pipvt, Bx, b.rows (), err |
|
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|
5448 F77_CHAR_ARG_LEN (1))); |
|
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|
5449 |
|
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|
5450 // Count non-zeros in work vector and adjust |
|
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|
5451 // space in retval if needed |
|
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|
5452 octave_idx_type new_nnz = 0; |
|
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|
5453 for (octave_idx_type i = 0; i < nr; i++) |
|
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|
5454 if (Bx[i] != 0.) |
|
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|
5455 new_nnz++; |
|
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|
5456 |
|
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|
5457 if (ii + new_nnz > x_nz) |
|
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|
5458 { |
|
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changeset
|
5459 // Resize the sparse matrix |
|
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|
5460 octave_idx_type sz = new_nnz * (b_nc - j) + x_nz; |
|
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|
5461 retval.change_capacity (sz); |
|
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|
5462 x_nz = sz; |
|
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|
5463 } |
|
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changeset
|
5464 |
|
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changeset
|
5465 for (octave_idx_type i = 0; i < nr; i++) |
|
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untabify liboctave C++ sources
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changeset
|
5466 if (Bx[i] != 0.) |
|
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changeset
|
5467 { |
|
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|
5468 retval.xridx(ii) = i; |
|
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|
5469 retval.xdata(ii++) = Bx[i]; |
|
10314
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changeset
|
5470 } |
|
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changeset
|
5471 retval.xcidx(j+1) = ii; |
|
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|
5472 } |
|
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diff
changeset
|
5473 |
|
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changeset
|
5474 retval.maybe_compress (); |
|
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|
5475 } |
|
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changeset
|
5476 } |
|
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|
5477 } |
| 5785 | 5478 else if (typ != MatrixType::Banded_Hermitian) |
|
10314
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|
5479 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 5480 } |
|
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|
5481 |
| 5164 | 5482 return retval; |
| 5483 } | |
| 5484 | |
| 5485 void * | |
| 5681 | 5486 SparseComplexMatrix::factorize (octave_idx_type& err, double &rcond, |
|
10314
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|
5487 Matrix &Control, Matrix &Info, |
|
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changeset
|
5488 solve_singularity_handler sing_handler, |
|
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|
5489 bool calc_cond) const |
| 5164 | 5490 { |
| 5491 // The return values | |
| 5404 | 5492 void *Numeric = 0; |
| 5164 | 5493 err = 0; |
| 5494 | |
| 5203 | 5495 #ifdef HAVE_UMFPACK |
| 5164 | 5496 // Setup the control parameters |
| 5497 Control = Matrix (UMFPACK_CONTROL, 1); | |
| 5498 double *control = Control.fortran_vec (); | |
| 5322 | 5499 UMFPACK_ZNAME (defaults) (control); |
| 5164 | 5500 |
| 5893 | 5501 double tmp = octave_sparse_params::get_key ("spumoni"); |
| 5164 | 5502 if (!xisnan (tmp)) |
| 5503 Control (UMFPACK_PRL) = tmp; | |
| 5893 | 5504 tmp = octave_sparse_params::get_key ("piv_tol"); |
| 5164 | 5505 if (!xisnan (tmp)) |
| 5506 { | |
| 5507 Control (UMFPACK_SYM_PIVOT_TOLERANCE) = tmp; | |
| 5508 Control (UMFPACK_PIVOT_TOLERANCE) = tmp; | |
| 5509 } | |
| 5510 | |
| 5511 // Set whether we are allowed to modify Q or not | |
| 5893 | 5512 tmp = octave_sparse_params::get_key ("autoamd"); |
| 5164 | 5513 if (!xisnan (tmp)) |
| 5514 Control (UMFPACK_FIXQ) = tmp; | |
| 5515 | |
| 5322 | 5516 UMFPACK_ZNAME (report_control) (control); |
| 5164 | 5517 |
| 5275 | 5518 const octave_idx_type *Ap = cidx (); |
| 5519 const octave_idx_type *Ai = ridx (); | |
| 5164 | 5520 const Complex *Ax = data (); |
| 5275 | 5521 octave_idx_type nr = rows (); |
| 5522 octave_idx_type nc = cols (); | |
| 5164 | 5523 |
| 5322 | 5524 UMFPACK_ZNAME (report_matrix) (nr, nc, Ap, Ai, |
|
10314
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|
5525 reinterpret_cast<const double *> (Ax), |
|
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changeset
|
5526 0, 1, control); |
| 5164 | 5527 |
| 5528 void *Symbolic; | |
| 5529 Info = Matrix (1, UMFPACK_INFO); | |
| 5530 double *info = Info.fortran_vec (); | |
|
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|
5531 int status = UMFPACK_ZNAME (qsymbolic) (nr, nc, Ap, Ai, |
|
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|
5532 reinterpret_cast<const double *> (Ax), |
|
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changeset
|
5533 0, 0, &Symbolic, control, info); |
| 5164 | 5534 |
| 5535 if (status < 0) | |
| 5536 { | |
|
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changeset
|
5537 (*current_liboctave_error_handler) |
|
10314
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changeset
|
5538 ("SparseComplexMatrix::solve symbolic factorization failed"); |
| 5164 | 5539 err = -1; |
| 5540 | |
| 5322 | 5541 UMFPACK_ZNAME (report_status) (control, status); |
| 5542 UMFPACK_ZNAME (report_info) (control, info); | |
| 5543 | |
| 5544 UMFPACK_ZNAME (free_symbolic) (&Symbolic) ; | |
| 5164 | 5545 } |
| 5546 else | |
| 5547 { | |
| 5322 | 5548 UMFPACK_ZNAME (report_symbolic) (Symbolic, control); |
| 5549 | |
| 5550 status = UMFPACK_ZNAME (numeric) (Ap, Ai, | |
|
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changeset
|
5551 reinterpret_cast<const double *> (Ax), 0, |
|
10314
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changeset
|
5552 Symbolic, &Numeric, control, info) ; |
| 5322 | 5553 UMFPACK_ZNAME (free_symbolic) (&Symbolic) ; |
| 5164 | 5554 |
| 5681 | 5555 if (calc_cond) |
|
10314
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|
5556 rcond = Info (UMFPACK_RCOND); |
| 5681 | 5557 else |
|
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changeset
|
5558 rcond = 1.; |
| 5164 | 5559 volatile double rcond_plus_one = rcond + 1.0; |
| 5560 | |
|
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|
5561 if (status == UMFPACK_WARNING_singular_matrix || |
|
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changeset
|
5562 rcond_plus_one == 1.0 || xisnan (rcond)) |
|
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|
5563 { |
|
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changeset
|
5564 UMFPACK_ZNAME (report_numeric) (Numeric, control); |
|
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changeset
|
5565 |
|
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changeset
|
5566 err = -2; |
|
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changeset
|
5567 |
|
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changeset
|
5568 if (sing_handler) |
|
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changeset
|
5569 sing_handler (rcond); |
|
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changeset
|
5570 else |
|
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changeset
|
5571 (*current_liboctave_error_handler) |
|
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|
5572 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
|
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changeset
|
5573 rcond); |
|
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changeset
|
5574 |
|
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changeset
|
5575 } |
| 5610 | 5576 else if (status < 0) |
|
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|
5577 { |
|
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changeset
|
5578 (*current_liboctave_error_handler) |
|
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changeset
|
5579 ("SparseComplexMatrix::solve numeric factorization failed"); |
|
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changeset
|
5580 |
|
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changeset
|
5581 UMFPACK_ZNAME (report_status) (control, status); |
|
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changeset
|
5582 UMFPACK_ZNAME (report_info) (control, info); |
|
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|
5583 |
|
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changeset
|
5584 err = -1; |
|
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changeset
|
5585 } |
|
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changeset
|
5586 else |
|
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changeset
|
5587 { |
|
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changeset
|
5588 UMFPACK_ZNAME (report_numeric) (Numeric, control); |
|
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changeset
|
5589 } |
| 5164 | 5590 } |
| 5591 | |
| 5592 if (err != 0) | |
| 5322 | 5593 UMFPACK_ZNAME (free_numeric) (&Numeric); |
| 5203 | 5594 #else |
| 5595 (*current_liboctave_error_handler) ("UMFPACK not installed"); | |
| 5596 #endif | |
| 5164 | 5597 |
| 5598 return Numeric; | |
| 5599 } | |
| 5600 | |
| 5601 ComplexMatrix | |
| 5785 | 5602 SparseComplexMatrix::fsolve (MatrixType &mattype, const Matrix& b, |
|
10314
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changeset
|
5603 octave_idx_type& err, double& rcond, |
|
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changeset
|
5604 solve_singularity_handler sing_handler, |
|
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untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5605 bool calc_cond) const |
| 5164 | 5606 { |
| 5607 ComplexMatrix retval; | |
| 5608 | |
| 5275 | 5609 octave_idx_type nr = rows (); |
| 5610 octave_idx_type nc = cols (); | |
| 5164 | 5611 err = 0; |
| 5612 | |
| 6924 | 5613 if (nr != nc || nr != b.rows ()) |
| 5164 | 5614 (*current_liboctave_error_handler) |
| 5615 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 5616 else if (nr == 0 || b.cols () == 0) |
| 5617 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5164 | 5618 else |
| 5619 { | |
| 5620 // Print spparms("spumoni") info if requested | |
| 5621 volatile int typ = mattype.type (); | |
| 5622 mattype.info (); | |
| 5623 | |
| 5785 | 5624 if (typ == MatrixType::Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5625 { |
| 5506 | 5626 #ifdef HAVE_CHOLMOD |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5627 cholmod_common Common; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5628 cholmod_common *cm = &Common; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5629 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5630 // Setup initial parameters |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5631 CHOLMOD_NAME(start) (cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5632 cm->prefer_zomplex = false; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5633 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5634 double spu = octave_sparse_params::get_key ("spumoni"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5635 if (spu == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5636 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5637 cm->print = -1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5638 cm->print_function = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5639 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5640 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5641 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5642 cm->print = static_cast<int> (spu) + 2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5643 cm->print_function =&SparseCholPrint; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5644 } |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5645 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5646 cm->error_handler = &SparseCholError; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5647 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5648 cm->hypotenuse = CHOLMOD_NAME(hypot); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5649 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5650 cm->final_ll = true; |
|
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 cholmod_sparse Astore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5653 cholmod_sparse *A = &Astore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5654 double dummy; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5655 A->nrow = nr; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5656 A->ncol = nc; |
|
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 A->p = cidx(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5659 A->i = ridx(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5660 A->nzmax = nnz(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5661 A->packed = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5662 A->sorted = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5663 A->nz = 0; |
| 5506 | 5664 #ifdef IDX_TYPE_LONG |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5665 A->itype = CHOLMOD_LONG; |
| 5506 | 5666 #else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5667 A->itype = CHOLMOD_INT; |
| 5506 | 5668 #endif |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5669 A->dtype = CHOLMOD_DOUBLE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5670 A->stype = 1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5671 A->xtype = CHOLMOD_COMPLEX; |
|
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 if (nr < 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5674 A->x = &dummy; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5675 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5676 A->x = data(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5677 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5678 cholmod_dense Bstore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5679 cholmod_dense *B = &Bstore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5680 B->nrow = b.rows(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5681 B->ncol = b.cols(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5682 B->d = B->nrow; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5683 B->nzmax = B->nrow * B->ncol; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5684 B->dtype = CHOLMOD_DOUBLE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5685 B->xtype = CHOLMOD_REAL; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5686 if (nc < 1 || b.cols() < 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5687 B->x = &dummy; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5688 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5689 // We won't alter it, honest :-) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5690 B->x = const_cast<double *>(b.fortran_vec()); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5691 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5692 cholmod_factor *L; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5693 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5694 L = CHOLMOD_NAME(analyze) (A, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5695 CHOLMOD_NAME(factorize) (A, L, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5696 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5697 rcond = CHOLMOD_NAME(rcond)(L, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5698 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5699 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5700 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5701 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5702 if (rcond == 0.0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5703 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5704 // Either its indefinite or singular. Try UMFPACK |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5705 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5706 typ = MatrixType::Full; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5707 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5708 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5709 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5710 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5711 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5712 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5713 { |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5714 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5715 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5716 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5717 { |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5718 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5719 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5720 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5721 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5722 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5723 ("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
|
5724 rcond); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5725 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5726 return retval; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5727 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5728 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5729 cholmod_dense *X; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5730 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5731 X = CHOLMOD_NAME(solve) (CHOLMOD_A, L, B, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5732 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5733 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5734 retval.resize (b.rows (), b.cols()); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5735 for (octave_idx_type j = 0; j < b.cols(); j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5736 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5737 octave_idx_type jr = j * b.rows(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5738 for (octave_idx_type i = 0; i < b.rows(); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5739 retval.xelem(i,j) = static_cast<Complex *>(X->x)[jr + i]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5740 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5741 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5742 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5743 CHOLMOD_NAME(free_dense) (&X, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5744 CHOLMOD_NAME(free_factor) (&L, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5745 CHOLMOD_NAME(finish) (cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5746 static char tmp[] = " "; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5747 CHOLMOD_NAME(print_common) (tmp, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5748 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5749 } |
| 5506 | 5750 #else |
|
10314
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
5751 (*current_liboctave_warning_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5752 ("CHOLMOD not installed"); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5753 |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5754 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5755 typ = MatrixType::Full; |
| 5506 | 5756 #endif |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5757 } |
| 5164 | 5758 |
| 5785 | 5759 if (typ == MatrixType::Full) |
|
10314
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
5760 { |
| 5203 | 5761 #ifdef HAVE_UMFPACK |
|
10314
07ebe522dac2
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
5762 Matrix Control, Info; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5763 void *Numeric = factorize (err, rcond, Control, Info, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5764 sing_handler, calc_cond); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5765 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5766 if (err == 0) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5767 { |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5768 octave_idx_type b_nr = b.rows (); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5769 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5770 int status = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5771 double *control = Control.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5772 double *info = Info.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5773 const octave_idx_type *Ap = cidx (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5774 const octave_idx_type *Ai = ridx (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5775 const Complex *Ax = data (); |
| 5203 | 5776 #ifdef UMFPACK_SEPARATE_SPLIT |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5777 const double *Bx = b.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5778 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5779 for (octave_idx_type i = 0; i < b_nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5780 Bz[i] = 0.; |
| 5203 | 5781 #else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
5782 OCTAVE_LOCAL_BUFFER (Complex, Bz, b_nr); |
| 5203 | 5783 #endif |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5784 retval.resize (b_nr, b_nc); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5785 Complex *Xx = retval.fortran_vec (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5786 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5787 for (octave_idx_type j = 0, iidx = 0; j < b_nc; j++, iidx += b_nr) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5788 { |
| 5203 | 5789 #ifdef UMFPACK_SEPARATE_SPLIT |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5790 status = UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5791 Ai, |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
5792 reinterpret_cast<const double *> (Ax), |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5793 0, |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
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11574
diff
changeset
|
5794 reinterpret_cast<double *> (&Xx[iidx]), |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5795 0, |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5796 &Bx[iidx], Bz, Numeric, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5797 control, info); |
| 5203 | 5798 #else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5799 for (octave_idx_type i = 0; i < b_nr; i++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5800 Bz[i] = b.elem (i, j); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
5801 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5802 status = UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
5803 Ai, |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5804 reinterpret_cast<const double *> (Ax), |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5805 0, |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5806 reinterpret_cast<double *> (&Xx[iidx]), |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5807 0, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5808 reinterpret_cast<const double *> (Bz), |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5809 0, Numeric, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5810 control, info); |
| 5203 | 5811 #endif |
| 5812 | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5813 if (status < 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5814 { |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5815 (*current_liboctave_error_handler) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5816 ("SparseComplexMatrix::solve solve failed"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5817 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5818 UMFPACK_ZNAME (report_status) (control, status); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5819 |
|
10314
07ebe522dac2
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parents:
10158
diff
changeset
|
5820 err = -1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5821 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5822 break; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5823 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5824 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5825 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5826 UMFPACK_ZNAME (report_info) (control, info); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5827 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5828 UMFPACK_ZNAME (free_numeric) (&Numeric); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5829 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
5830 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
5831 mattype.mark_as_rectangular (); |
| 5681 | 5832 |
| 5203 | 5833 #else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5834 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
| 5203 | 5835 #endif |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5836 } |
| 5785 | 5837 else if (typ != MatrixType::Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5838 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 5839 } |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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diff
changeset
|
5840 |
| 5164 | 5841 return retval; |
| 5842 } | |
| 5843 | |
| 5844 SparseComplexMatrix | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
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diff
changeset
|
5845 SparseComplexMatrix::fsolve (MatrixType &mattype, const SparseMatrix& b, |
|
10314
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diff
changeset
|
5846 octave_idx_type& err, double& rcond, |
|
07ebe522dac2
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diff
changeset
|
5847 solve_singularity_handler sing_handler, |
|
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untabify liboctave C++ sources
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diff
changeset
|
5848 bool calc_cond) const |
| 5164 | 5849 { |
| 5850 SparseComplexMatrix retval; | |
| 5851 | |
| 5275 | 5852 octave_idx_type nr = rows (); |
| 5853 octave_idx_type nc = cols (); | |
| 5164 | 5854 err = 0; |
| 5855 | |
| 6924 | 5856 if (nr != nc || nr != b.rows ()) |
| 5164 | 5857 (*current_liboctave_error_handler) |
| 5858 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 5859 else if (nr == 0 || b.cols () == 0) |
| 5860 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5164 | 5861 else |
| 5862 { | |
| 5863 // Print spparms("spumoni") info if requested | |
| 5506 | 5864 volatile int typ = mattype.type (); |
| 5164 | 5865 mattype.info (); |
| 5866 | |
| 5785 | 5867 if (typ == MatrixType::Hermitian) |
|
10314
07ebe522dac2
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diff
changeset
|
5868 { |
| 5506 | 5869 #ifdef HAVE_CHOLMOD |
|
10314
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diff
changeset
|
5870 cholmod_common Common; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5871 cholmod_common *cm = &Common; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5872 |
|
07ebe522dac2
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changeset
|
5873 // Setup initial parameters |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5874 CHOLMOD_NAME(start) (cm); |
|
07ebe522dac2
untabify liboctave C++ sources
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changeset
|
5875 cm->prefer_zomplex = false; |
|
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diff
changeset
|
5876 |
|
07ebe522dac2
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diff
changeset
|
5877 double spu = octave_sparse_params::get_key ("spumoni"); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5878 if (spu == 0.) |
|
07ebe522dac2
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diff
changeset
|
5879 { |
|
07ebe522dac2
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diff
changeset
|
5880 cm->print = -1; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5881 cm->print_function = 0; |
|
07ebe522dac2
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diff
changeset
|
5882 } |
|
07ebe522dac2
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diff
changeset
|
5883 else |
|
07ebe522dac2
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diff
changeset
|
5884 { |
|
07ebe522dac2
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diff
changeset
|
5885 cm->print = static_cast<int> (spu) + 2; |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
5886 cm->print_function =&SparseCholPrint; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5887 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5888 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5889 cm->error_handler = &SparseCholError; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5890 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5891 cm->hypotenuse = CHOLMOD_NAME(hypot); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5892 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5893 cm->final_ll = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5894 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5895 cholmod_sparse Astore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5896 cholmod_sparse *A = &Astore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5897 double dummy; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5898 A->nrow = nr; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5899 A->ncol = nc; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5900 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5901 A->p = cidx(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5902 A->i = ridx(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5903 A->nzmax = nnz(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5904 A->packed = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5905 A->sorted = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5906 A->nz = 0; |
| 5506 | 5907 #ifdef IDX_TYPE_LONG |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5908 A->itype = CHOLMOD_LONG; |
| 5506 | 5909 #else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5910 A->itype = CHOLMOD_INT; |
| 5506 | 5911 #endif |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5912 A->dtype = CHOLMOD_DOUBLE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5913 A->stype = 1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5914 A->xtype = CHOLMOD_COMPLEX; |
|
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 if (nr < 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5917 A->x = &dummy; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5918 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5919 A->x = data(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5920 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5921 cholmod_sparse Bstore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5922 cholmod_sparse *B = &Bstore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5923 B->nrow = b.rows(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5924 B->ncol = b.cols(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5925 B->p = b.cidx(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5926 B->i = b.ridx(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5927 B->nzmax = b.nnz(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5928 B->packed = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5929 B->sorted = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5930 B->nz = 0; |
| 5506 | 5931 #ifdef IDX_TYPE_LONG |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5932 B->itype = CHOLMOD_LONG; |
| 5506 | 5933 #else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5934 B->itype = CHOLMOD_INT; |
| 5506 | 5935 #endif |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5936 B->dtype = CHOLMOD_DOUBLE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5937 B->stype = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5938 B->xtype = CHOLMOD_REAL; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5939 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5940 if (b.rows() < 1 || b.cols() < 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5941 B->x = &dummy; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5942 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5943 B->x = b.data(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5944 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5945 cholmod_factor *L; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5946 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5947 L = CHOLMOD_NAME(analyze) (A, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5948 CHOLMOD_NAME(factorize) (A, L, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5949 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5950 rcond = CHOLMOD_NAME(rcond)(L, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5951 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5952 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5953 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5954 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5955 if (rcond == 0.0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5956 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5957 // Either its indefinite or singular. Try UMFPACK |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5958 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5959 typ = MatrixType::Full; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5960 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5961 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5962 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5963 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5964 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5965 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5966 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5967 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5968 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5969 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5970 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5971 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5972 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5973 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5974 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5975 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5976 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5977 rcond); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5978 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5979 return retval; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5980 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5981 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5982 cholmod_sparse *X; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5983 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5984 X = CHOLMOD_NAME(spsolve) (CHOLMOD_A, L, B, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5985 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5986 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5987 retval = SparseComplexMatrix |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5988 (static_cast<octave_idx_type>(X->nrow), |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5989 static_cast<octave_idx_type>(X->ncol), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5990 static_cast<octave_idx_type>(X->nzmax)); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5991 for (octave_idx_type j = 0; |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5992 j <= static_cast<octave_idx_type>(X->ncol); j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5993 retval.xcidx(j) = static_cast<octave_idx_type *>(X->p)[j]; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
5994 for (octave_idx_type j = 0; |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5995 j < static_cast<octave_idx_type>(X->nzmax); j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5996 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5997 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
|
5998 retval.xdata(j) = static_cast<Complex *>(X->x)[j]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
5999 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6000 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6001 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6002 CHOLMOD_NAME(free_sparse) (&X, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6003 CHOLMOD_NAME(free_factor) (&L, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6004 CHOLMOD_NAME(finish) (cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6005 static char tmp[] = " "; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6006 CHOLMOD_NAME(print_common) (tmp, cm); |
|
07ebe522dac2
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changeset
|
6007 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
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|
6008 } |
| 5506 | 6009 #else |
|
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|
6010 (*current_liboctave_warning_handler) |
|
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changeset
|
6011 ("CHOLMOD not installed"); |
|
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diff
changeset
|
6012 |
|
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changeset
|
6013 mattype.mark_as_unsymmetric (); |
|
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untabify liboctave C++ sources
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changeset
|
6014 typ = MatrixType::Full; |
| 5506 | 6015 #endif |
|
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|
6016 } |
| 5164 | 6017 |
| 5785 | 6018 if (typ == MatrixType::Full) |
|
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|
6019 { |
| 5203 | 6020 #ifdef HAVE_UMFPACK |
|
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|
6021 Matrix Control, Info; |
|
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|
6022 void *Numeric = factorize (err, rcond, Control, Info, |
|
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|
6023 sing_handler, calc_cond); |
|
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changeset
|
6024 |
|
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changeset
|
6025 if (err == 0) |
|
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diff
changeset
|
6026 { |
|
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changeset
|
6027 octave_idx_type b_nr = b.rows (); |
|
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|
6028 octave_idx_type b_nc = b.cols (); |
|
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changeset
|
6029 int status = 0; |
|
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changeset
|
6030 double *control = Control.fortran_vec (); |
|
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untabify liboctave C++ sources
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|
6031 double *info = Info.fortran_vec (); |
|
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|
6032 const octave_idx_type *Ap = cidx (); |
|
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|
6033 const octave_idx_type *Ai = ridx (); |
|
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changeset
|
6034 const Complex *Ax = data (); |
| 5164 | 6035 |
| 5203 | 6036 #ifdef UMFPACK_SEPARATE_SPLIT |
|
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|
6037 OCTAVE_LOCAL_BUFFER (double, Bx, b_nr); |
|
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changeset
|
6038 OCTAVE_LOCAL_BUFFER (double, Bz, b_nr); |
|
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untabify liboctave C++ sources
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changeset
|
6039 for (octave_idx_type i = 0; i < b_nr; i++) |
|
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untabify liboctave C++ sources
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changeset
|
6040 Bz[i] = 0.; |
| 5203 | 6041 #else |
|
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changeset
|
6042 OCTAVE_LOCAL_BUFFER (Complex, Bz, b_nr); |
| 5203 | 6043 #endif |
| 5164 | 6044 |
|
10314
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|
6045 // Take a first guess that the number of non-zero terms |
|
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|
6046 // will be as many as in b |
|
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|
6047 octave_idx_type x_nz = b.nnz (); |
|
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changeset
|
6048 octave_idx_type ii = 0; |
|
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untabify liboctave C++ sources
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|
6049 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
|
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diff
changeset
|
6050 |
|
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changeset
|
6051 OCTAVE_LOCAL_BUFFER (Complex, Xx, b_nr); |
|
11586
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|
6052 |
|
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changeset
|
6053 retval.xcidx(0) = 0; |
|
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untabify liboctave C++ sources
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|
6054 for (octave_idx_type j = 0; j < b_nc; j++) |
|
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untabify liboctave C++ sources
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|
6055 { |
| 5164 | 6056 |
| 5203 | 6057 #ifdef UMFPACK_SEPARATE_SPLIT |
|
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changeset
|
6058 for (octave_idx_type i = 0; i < b_nr; i++) |
|
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untabify liboctave C++ sources
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changeset
|
6059 Bx[i] = b.elem (i, j); |
|
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diff
changeset
|
6060 |
|
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changeset
|
6061 status = UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, |
|
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diff
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|
6062 Ai, |
|
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changeset
|
6063 reinterpret_cast<const double *> (Ax), |
|
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diff
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|
6064 0, |
|
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changeset
|
6065 reinterpret_cast<double *> (Xx), |
|
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|
6066 0, |
|
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diff
changeset
|
6067 Bx, Bz, Numeric, control, |
|
10314
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changeset
|
6068 info); |
| 5203 | 6069 #else |
|
10314
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changeset
|
6070 for (octave_idx_type i = 0; i < b_nr; i++) |
|
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changeset
|
6071 Bz[i] = b.elem (i, j); |
|
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untabify liboctave C++ sources
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|
6072 |
|
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changeset
|
6073 status = UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, Ai, |
|
10314
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changeset
|
6074 reinterpret_cast<const double *> (Ax), |
|
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diff
changeset
|
6075 0, |
|
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diff
changeset
|
6076 reinterpret_cast<double *> (Xx), |
|
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diff
changeset
|
6077 0, |
|
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changeset
|
6078 reinterpret_cast<double *> (Bz), |
|
07ebe522dac2
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changeset
|
6079 0, |
|
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changeset
|
6080 Numeric, control, |
|
10314
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|
6081 info); |
| 5203 | 6082 #endif |
|
10314
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|
6083 if (status < 0) |
|
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|
6084 { |
|
11586
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|
6085 (*current_liboctave_error_handler) |
|
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changeset
|
6086 ("SparseComplexMatrix::solve solve failed"); |
|
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diff
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|
6087 |
|
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changeset
|
6088 UMFPACK_ZNAME (report_status) (control, status); |
|
11586
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|
6089 |
|
10314
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changeset
|
6090 err = -1; |
|
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diff
changeset
|
6091 |
|
07ebe522dac2
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diff
changeset
|
6092 break; |
|
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diff
changeset
|
6093 } |
|
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diff
changeset
|
6094 |
|
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changeset
|
6095 for (octave_idx_type i = 0; i < b_nr; i++) |
|
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diff
changeset
|
6096 { |
|
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changeset
|
6097 Complex tmp = Xx[i]; |
|
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changeset
|
6098 if (tmp != 0.0) |
|
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diff
changeset
|
6099 { |
|
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changeset
|
6100 if (ii == x_nz) |
|
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diff
changeset
|
6101 { |
|
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changeset
|
6102 // Resize the sparse matrix |
|
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|
6103 octave_idx_type sz = x_nz * (b_nc - j) / b_nc; |
|
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|
6104 sz = (sz > 10 ? sz : 10) + x_nz; |
|
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|
6105 retval.change_capacity (sz); |
|
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changeset
|
6106 x_nz = sz; |
|
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changeset
|
6107 } |
|
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changeset
|
6108 retval.xdata(ii) = tmp; |
|
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|
6109 retval.xridx(ii++) = i; |
|
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|
6110 } |
|
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|
6111 } |
|
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changeset
|
6112 retval.xcidx(j+1) = ii; |
|
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|
6113 } |
|
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changeset
|
6114 |
|
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changeset
|
6115 retval.maybe_compress (); |
|
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|
6116 |
|
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changeset
|
6117 UMFPACK_ZNAME (report_info) (control, info); |
|
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|
6118 |
|
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changeset
|
6119 UMFPACK_ZNAME (free_numeric) (&Numeric); |
|
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|
6120 } |
|
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changeset
|
6121 else |
|
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changeset
|
6122 mattype.mark_as_rectangular (); |
| 5681 | 6123 |
| 5203 | 6124 #else |
|
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changeset
|
6125 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
| 5203 | 6126 #endif |
|
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|
6127 } |
| 5785 | 6128 else if (typ != MatrixType::Hermitian) |
|
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changeset
|
6129 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 6130 } |
|
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|
6131 |
| 5164 | 6132 return retval; |
| 6133 } | |
| 6134 | |
| 6135 ComplexMatrix | |
|
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|
6136 SparseComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, |
|
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changeset
|
6137 octave_idx_type& err, double& rcond, |
|
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changeset
|
6138 solve_singularity_handler sing_handler, |
|
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changeset
|
6139 bool calc_cond) const |
| 5164 | 6140 { |
| 6141 ComplexMatrix retval; | |
| 6142 | |
| 5275 | 6143 octave_idx_type nr = rows (); |
| 6144 octave_idx_type nc = cols (); | |
| 5164 | 6145 err = 0; |
| 6146 | |
| 6924 | 6147 if (nr != nc || nr != b.rows ()) |
| 5164 | 6148 (*current_liboctave_error_handler) |
| 6149 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 6150 else if (nr == 0 || b.cols () == 0) |
| 6151 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5164 | 6152 else |
| 6153 { | |
| 6154 // Print spparms("spumoni") info if requested | |
| 5506 | 6155 volatile int typ = mattype.type (); |
| 5164 | 6156 mattype.info (); |
| 6157 | |
| 5785 | 6158 if (typ == MatrixType::Hermitian) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6159 { |
| 5506 | 6160 #ifdef HAVE_CHOLMOD |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6161 cholmod_common Common; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6162 cholmod_common *cm = &Common; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6163 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6164 // Setup initial parameters |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6165 CHOLMOD_NAME(start) (cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6166 cm->prefer_zomplex = false; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6167 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6168 double spu = octave_sparse_params::get_key ("spumoni"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6169 if (spu == 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6170 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6171 cm->print = -1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6172 cm->print_function = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6173 } |
|
07ebe522dac2
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10158
diff
changeset
|
6174 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6175 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6176 cm->print = static_cast<int> (spu) + 2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6177 cm->print_function =&SparseCholPrint; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6178 } |
|
07ebe522dac2
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10158
diff
changeset
|
6179 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6180 cm->error_handler = &SparseCholError; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6181 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6182 cm->hypotenuse = CHOLMOD_NAME(hypot); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6183 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6184 cm->final_ll = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6185 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6186 cholmod_sparse Astore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6187 cholmod_sparse *A = &Astore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6188 double dummy; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6189 A->nrow = nr; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6190 A->ncol = nc; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6191 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6192 A->p = cidx(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6193 A->i = ridx(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6194 A->nzmax = nnz(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6195 A->packed = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6196 A->sorted = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6197 A->nz = 0; |
| 5506 | 6198 #ifdef IDX_TYPE_LONG |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6199 A->itype = CHOLMOD_LONG; |
| 5506 | 6200 #else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6201 A->itype = CHOLMOD_INT; |
| 5506 | 6202 #endif |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6203 A->dtype = CHOLMOD_DOUBLE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6204 A->stype = 1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6205 A->xtype = CHOLMOD_COMPLEX; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6206 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6207 if (nr < 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6208 A->x = &dummy; |
|
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untabify liboctave C++ sources
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10158
diff
changeset
|
6209 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6210 A->x = data(); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6211 |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6212 cholmod_dense Bstore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6213 cholmod_dense *B = &Bstore; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6214 B->nrow = b.rows(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6215 B->ncol = b.cols(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6216 B->d = B->nrow; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6217 B->nzmax = B->nrow * B->ncol; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6218 B->dtype = CHOLMOD_DOUBLE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6219 B->xtype = CHOLMOD_COMPLEX; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6220 if (nc < 1 || b.cols() < 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6221 B->x = &dummy; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6222 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6223 // We won't alter it, honest :-) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6224 B->x = const_cast<Complex *>(b.fortran_vec()); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6225 |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6226 cholmod_factor *L; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6227 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6228 L = CHOLMOD_NAME(analyze) (A, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6229 CHOLMOD_NAME(factorize) (A, L, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6230 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6231 rcond = CHOLMOD_NAME(rcond)(L, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6232 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6233 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6234 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6235 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6236 if (rcond == 0.0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6237 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6238 // Either its indefinite or singular. Try UMFPACK |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6239 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6240 typ = MatrixType::Full; |
|
07ebe522dac2
untabify liboctave C++ sources
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parents:
10158
diff
changeset
|
6241 } |
|
07ebe522dac2
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6242 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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10158
diff
changeset
|
6243 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6244 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6245 |
|
07ebe522dac2
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10158
diff
changeset
|
6246 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6247 { |
|
07ebe522dac2
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10158
diff
changeset
|
6248 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6249 |
|
07ebe522dac2
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10158
diff
changeset
|
6250 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6251 { |
|
07ebe522dac2
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diff
changeset
|
6252 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6253 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6254 } |
|
07ebe522dac2
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10158
diff
changeset
|
6255 else |
|
07ebe522dac2
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10158
diff
changeset
|
6256 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6257 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6258 rcond); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
6259 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6260 return retval; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6261 } |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6262 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6263 cholmod_dense *X; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
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diff
changeset
|
6264 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6265 X = CHOLMOD_NAME(solve) (CHOLMOD_A, L, B, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
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diff
changeset
|
6266 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6267 |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6268 retval.resize (b.rows (), b.cols()); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6269 for (octave_idx_type j = 0; j < b.cols(); j++) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6270 { |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6271 octave_idx_type jr = j * b.rows(); |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6272 for (octave_idx_type i = 0; i < b.rows(); i++) |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6273 retval.xelem(i,j) = static_cast<Complex *>(X->x)[jr + i]; |
|
07ebe522dac2
untabify liboctave C++ sources
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10158
diff
changeset
|
6274 } |
|
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changeset
|
6275 |
|
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|
6276 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
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|
6277 CHOLMOD_NAME(free_dense) (&X, cm); |
|
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|
6278 CHOLMOD_NAME(free_factor) (&L, cm); |
|
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|
6279 CHOLMOD_NAME(finish) (cm); |
|
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|
6280 static char tmp[] = " "; |
|
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|
6281 CHOLMOD_NAME(print_common) (tmp, cm); |
|
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|
6282 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
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|
6283 } |
| 5506 | 6284 #else |
|
10314
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|
6285 (*current_liboctave_warning_handler) |
|
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|
6286 ("CHOLMOD not installed"); |
|
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|
6287 |
|
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|
6288 mattype.mark_as_unsymmetric (); |
|
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|
6289 typ = MatrixType::Full; |
| 5506 | 6290 #endif |
|
10314
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|
6291 } |
| 5164 | 6292 |
| 5785 | 6293 if (typ == MatrixType::Full) |
|
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|
6294 { |
| 5203 | 6295 #ifdef HAVE_UMFPACK |
|
10314
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|
6296 Matrix Control, Info; |
|
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|
6297 void *Numeric = factorize (err, rcond, Control, Info, |
|
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|
6298 sing_handler, calc_cond); |
|
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|
6299 |
|
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|
6300 if (err == 0) |
|
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|
6301 { |
|
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|
6302 octave_idx_type b_nr = b.rows (); |
|
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untabify liboctave C++ sources
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|
6303 octave_idx_type b_nc = b.cols (); |
|
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|
6304 int status = 0; |
|
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|
6305 double *control = Control.fortran_vec (); |
|
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|
6306 double *info = Info.fortran_vec (); |
|
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|
6307 const octave_idx_type *Ap = cidx (); |
|
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untabify liboctave C++ sources
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|
6308 const octave_idx_type *Ai = ridx (); |
|
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|
6309 const Complex *Ax = data (); |
|
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|
6310 const Complex *Bx = b.fortran_vec (); |
|
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|
6311 |
|
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|
6312 retval.resize (b_nr, b_nc); |
|
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|
6313 Complex *Xx = retval.fortran_vec (); |
|
11586
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|
6314 |
|
10314
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changeset
|
6315 for (octave_idx_type j = 0, iidx = 0; j < b_nc; j++, iidx += b_nr) |
|
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|
6316 { |
|
11586
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|
6317 status = |
|
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|
6318 UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, Ai, |
|
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|
6319 reinterpret_cast<const double *> (Ax), |
|
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|
6320 0, |
|
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|
6321 reinterpret_cast<double *> (&Xx[iidx]), |
|
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|
6322 0, |
|
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|
6323 reinterpret_cast<const double *> (&Bx[iidx]), |
|
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|
6324 0, Numeric, control, info); |
|
11586
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|
6325 |
|
10314
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|
6326 if (status < 0) |
|
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|
6327 { |
|
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|
6328 (*current_liboctave_error_handler) |
|
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|
6329 ("SparseComplexMatrix::solve solve failed"); |
|
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|
6330 |
|
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|
6331 UMFPACK_ZNAME (report_status) (control, status); |
|
11586
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|
6332 |
|
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|
6333 err = -1; |
|
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diff
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|
6334 |
|
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diff
changeset
|
6335 break; |
|
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diff
changeset
|
6336 } |
|
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diff
changeset
|
6337 } |
|
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diff
changeset
|
6338 |
|
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changeset
|
6339 UMFPACK_ZNAME (report_info) (control, info); |
|
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|
6340 |
|
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changeset
|
6341 UMFPACK_ZNAME (free_numeric) (&Numeric); |
|
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|
6342 } |
|
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|
6343 else |
|
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changeset
|
6344 mattype.mark_as_rectangular (); |
| 5681 | 6345 |
| 5203 | 6346 #else |
|
10314
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|
6347 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
| 5203 | 6348 #endif |
|
10314
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|
6349 } |
| 5785 | 6350 else if (typ != MatrixType::Hermitian) |
|
10314
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|
6351 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 6352 } |
|
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|
6353 |
| 5164 | 6354 return retval; |
| 6355 } | |
| 6356 | |
| 6357 SparseComplexMatrix | |
| 5785 | 6358 SparseComplexMatrix::fsolve (MatrixType &mattype, const SparseComplexMatrix& b, |
|
10314
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|
6359 octave_idx_type& err, double& rcond, |
|
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changeset
|
6360 solve_singularity_handler sing_handler, |
|
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|
6361 bool calc_cond) const |
| 5164 | 6362 { |
| 6363 SparseComplexMatrix retval; | |
| 6364 | |
| 5275 | 6365 octave_idx_type nr = rows (); |
| 6366 octave_idx_type nc = cols (); | |
| 5164 | 6367 err = 0; |
| 6368 | |
| 6924 | 6369 if (nr != nc || nr != b.rows ()) |
| 5164 | 6370 (*current_liboctave_error_handler) |
| 6371 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 6372 else if (nr == 0 || b.cols () == 0) |
| 6373 retval = SparseComplexMatrix (nc, b.cols ()); | |
| 5164 | 6374 else |
| 6375 { | |
| 6376 // Print spparms("spumoni") info if requested | |
| 5506 | 6377 volatile int typ = mattype.type (); |
| 5164 | 6378 mattype.info (); |
| 6379 | |
| 5785 | 6380 if (typ == MatrixType::Hermitian) |
|
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|
6381 { |
| 5506 | 6382 #ifdef HAVE_CHOLMOD |
|
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|
6383 cholmod_common Common; |
|
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|
6384 cholmod_common *cm = &Common; |
|
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|
6385 |
|
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changeset
|
6386 // Setup initial parameters |
|
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|
6387 CHOLMOD_NAME(start) (cm); |
|
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|
6388 cm->prefer_zomplex = false; |
|
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|
6389 |
|
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changeset
|
6390 double spu = octave_sparse_params::get_key ("spumoni"); |
|
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|
6391 if (spu == 0.) |
|
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|
6392 { |
|
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changeset
|
6393 cm->print = -1; |
|
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|
6394 cm->print_function = 0; |
|
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|
6395 } |
|
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|
6396 else |
|
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|
6397 { |
|
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|
6398 cm->print = static_cast<int> (spu) + 2; |
|
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|
6399 cm->print_function =&SparseCholPrint; |
|
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|
6400 } |
|
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|
6401 |
|
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|
6402 cm->error_handler = &SparseCholError; |
|
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|
6403 cm->complex_divide = CHOLMOD_NAME(divcomplex); |
|
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|
6404 cm->hypotenuse = CHOLMOD_NAME(hypot); |
|
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|
6405 |
|
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|
6406 cm->final_ll = true; |
|
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|
6407 |
|
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|
6408 cholmod_sparse Astore; |
|
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|
6409 cholmod_sparse *A = &Astore; |
|
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|
6410 double dummy; |
|
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|
6411 A->nrow = nr; |
|
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|
6412 A->ncol = nc; |
|
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|
6413 |
|
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|
6414 A->p = cidx(); |
|
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|
6415 A->i = ridx(); |
|
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|
6416 A->nzmax = nnz(); |
|
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|
6417 A->packed = true; |
|
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changeset
|
6418 A->sorted = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6419 A->nz = 0; |
| 5506 | 6420 #ifdef IDX_TYPE_LONG |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6421 A->itype = CHOLMOD_LONG; |
| 5506 | 6422 #else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6423 A->itype = CHOLMOD_INT; |
| 5506 | 6424 #endif |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6425 A->dtype = CHOLMOD_DOUBLE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6426 A->stype = 1; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6427 A->xtype = CHOLMOD_COMPLEX; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6428 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6429 if (nr < 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6430 A->x = &dummy; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6431 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6432 A->x = data(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6433 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6434 cholmod_sparse Bstore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6435 cholmod_sparse *B = &Bstore; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6436 B->nrow = b.rows(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6437 B->ncol = b.cols(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6438 B->p = b.cidx(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6439 B->i = b.ridx(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6440 B->nzmax = b.nnz(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6441 B->packed = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6442 B->sorted = true; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6443 B->nz = 0; |
| 5506 | 6444 #ifdef IDX_TYPE_LONG |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6445 B->itype = CHOLMOD_LONG; |
| 5506 | 6446 #else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6447 B->itype = CHOLMOD_INT; |
| 5506 | 6448 #endif |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6449 B->dtype = CHOLMOD_DOUBLE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6450 B->stype = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6451 B->xtype = CHOLMOD_COMPLEX; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6452 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6453 if (b.rows() < 1 || b.cols() < 1) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6454 B->x = &dummy; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6455 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6456 B->x = b.data(); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6457 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6458 cholmod_factor *L; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6459 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6460 L = CHOLMOD_NAME(analyze) (A, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6461 CHOLMOD_NAME(factorize) (A, L, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6462 if (calc_cond) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6463 rcond = CHOLMOD_NAME(rcond)(L, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6464 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6465 rcond = 1.; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6466 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6467 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6468 if (rcond == 0.0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6469 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6470 // Either its indefinite or singular. Try UMFPACK |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6471 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6472 typ = MatrixType::Full; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6473 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6474 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6475 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6476 volatile double rcond_plus_one = rcond + 1.0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6477 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6478 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6479 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6480 err = -2; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6481 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6482 if (sing_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6483 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6484 sing_handler (rcond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6485 mattype.mark_as_rectangular (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6486 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6487 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6488 (*current_liboctave_error_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6489 ("SparseMatrix::solve matrix singular to machine precision, rcond = %g", |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6490 rcond); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
6491 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6492 return retval; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6493 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6494 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6495 cholmod_sparse *X; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6496 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6497 X = CHOLMOD_NAME(spsolve) (CHOLMOD_A, L, B, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6498 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6499 |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
6500 retval = SparseComplexMatrix |
|
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
6501 (static_cast<octave_idx_type>(X->nrow), |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6502 static_cast<octave_idx_type>(X->ncol), |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6503 static_cast<octave_idx_type>(X->nzmax)); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
6504 for (octave_idx_type j = 0; |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6505 j <= static_cast<octave_idx_type>(X->ncol); j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6506 retval.xcidx(j) = static_cast<octave_idx_type *>(X->p)[j]; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
6507 for (octave_idx_type j = 0; |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6508 j < static_cast<octave_idx_type>(X->nzmax); j++) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6509 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6510 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
|
6511 retval.xdata(j) = static_cast<Complex *>(X->x)[j]; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6512 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6513 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6514 BEGIN_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6515 CHOLMOD_NAME(free_sparse) (&X, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6516 CHOLMOD_NAME(free_factor) (&L, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6517 CHOLMOD_NAME(finish) (cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6518 static char tmp[] = " "; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6519 CHOLMOD_NAME(print_common) (tmp, cm); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6520 END_INTERRUPT_IMMEDIATELY_IN_FOREIGN_CODE; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6521 } |
| 5506 | 6522 #else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6523 (*current_liboctave_warning_handler) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6524 ("CHOLMOD not installed"); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6525 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6526 mattype.mark_as_unsymmetric (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6527 typ = MatrixType::Full; |
| 5506 | 6528 #endif |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6529 } |
| 5164 | 6530 |
| 5785 | 6531 if (typ == MatrixType::Full) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6532 { |
| 5203 | 6533 #ifdef HAVE_UMFPACK |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6534 Matrix Control, Info; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6535 void *Numeric = factorize (err, rcond, Control, Info, |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6536 sing_handler, calc_cond); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6537 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6538 if (err == 0) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6539 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6540 octave_idx_type b_nr = b.rows (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6541 octave_idx_type b_nc = b.cols (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
6542 int status = 0; |
|
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6543 double *control = Control.fortran_vec (); |
|
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|
6544 double *info = Info.fortran_vec (); |
|
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6545 const octave_idx_type *Ap = cidx (); |
|
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6546 const octave_idx_type *Ai = ridx (); |
|
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|
6547 const Complex *Ax = data (); |
|
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|
6548 |
|
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|
6549 OCTAVE_LOCAL_BUFFER (Complex, Bx, b_nr); |
|
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|
6550 |
|
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|
6551 // Take a first guess that the number of non-zero terms |
|
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6552 // will be as many as in b |
|
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|
6553 octave_idx_type x_nz = b.nnz (); |
|
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|
6554 octave_idx_type ii = 0; |
|
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|
6555 retval = SparseComplexMatrix (b_nr, b_nc, x_nz); |
|
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|
6556 |
|
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|
6557 OCTAVE_LOCAL_BUFFER (Complex, Xx, b_nr); |
|
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6558 |
|
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|
6559 retval.xcidx(0) = 0; |
|
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|
6560 for (octave_idx_type j = 0; j < b_nc; j++) |
|
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|
6561 { |
|
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|
6562 for (octave_idx_type i = 0; i < b_nr; i++) |
|
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|
6563 Bx[i] = b (i,j); |
|
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|
6564 |
|
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|
6565 status = UMFPACK_ZNAME (solve) (UMFPACK_A, Ap, |
|
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|
6566 Ai, |
|
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|
6567 reinterpret_cast<const double *> (Ax), |
|
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|
6568 0, |
|
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|
6569 reinterpret_cast<double *> (Xx), |
|
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|
6570 0, |
|
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|
6571 reinterpret_cast<double *> (Bx), |
|
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|
6572 0, Numeric, control, info); |
|
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6573 |
|
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|
6574 if (status < 0) |
|
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|
6575 { |
|
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|
6576 (*current_liboctave_error_handler) |
|
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|
6577 ("SparseComplexMatrix::solve solve failed"); |
|
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|
6578 |
|
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|
6579 UMFPACK_ZNAME (report_status) (control, status); |
|
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|
6580 |
|
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|
6581 err = -1; |
|
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|
6582 |
|
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|
6583 break; |
|
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|
6584 } |
|
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|
6585 |
|
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|
6586 for (octave_idx_type i = 0; i < b_nr; i++) |
|
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|
6587 { |
|
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|
6588 Complex tmp = Xx[i]; |
|
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|
6589 if (tmp != 0.0) |
|
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|
6590 { |
|
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|
6591 if (ii == x_nz) |
|
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|
6592 { |
|
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|
6593 // Resize the sparse matrix |
|
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|
6594 octave_idx_type sz = x_nz * (b_nc - j) / b_nc; |
|
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|
6595 sz = (sz > 10 ? sz : 10) + x_nz; |
|
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|
6596 retval.change_capacity (sz); |
|
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|
6597 x_nz = sz; |
|
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|
6598 } |
|
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|
6599 retval.xdata(ii) = tmp; |
|
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|
6600 retval.xridx(ii++) = i; |
|
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|
6601 } |
|
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|
6602 } |
|
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|
6603 retval.xcidx(j+1) = ii; |
|
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|
6604 } |
|
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changeset
|
6605 |
|
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|
6606 retval.maybe_compress (); |
|
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|
6607 |
|
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|
6608 rcond = Info (UMFPACK_RCOND); |
|
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|
6609 volatile double rcond_plus_one = rcond + 1.0; |
|
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|
6610 |
|
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6611 if (status == UMFPACK_WARNING_singular_matrix || |
|
10314
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|
6612 rcond_plus_one == 1.0 || xisnan (rcond)) |
|
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|
6613 { |
|
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|
6614 err = -2; |
|
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|
6615 |
|
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|
6616 if (sing_handler) |
|
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|
6617 sing_handler (rcond); |
|
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|
6618 else |
|
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|
6619 (*current_liboctave_error_handler) |
|
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|
6620 ("SparseComplexMatrix::solve matrix singular to machine precision, rcond = %g", |
|
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|
6621 rcond); |
|
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changeset
|
6622 |
|
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changeset
|
6623 } |
|
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changeset
|
6624 |
|
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|
6625 UMFPACK_ZNAME (report_info) (control, info); |
|
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|
6626 |
|
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|
6627 UMFPACK_ZNAME (free_numeric) (&Numeric); |
|
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|
6628 } |
|
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|
6629 else |
|
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|
6630 mattype.mark_as_rectangular (); |
| 5681 | 6631 |
| 5203 | 6632 #else |
|
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|
6633 (*current_liboctave_error_handler) ("UMFPACK not installed"); |
| 5203 | 6634 #endif |
|
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|
6635 } |
| 5785 | 6636 else if (typ != MatrixType::Hermitian) |
|
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|
6637 (*current_liboctave_error_handler) ("incorrect matrix type"); |
| 5164 | 6638 } |
|
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|
6639 |
| 5164 | 6640 return retval; |
| 6641 } | |
| 6642 | |
| 6643 ComplexMatrix | |
| 5785 | 6644 SparseComplexMatrix::solve (MatrixType &mattype, const Matrix& b) const |
| 5164 | 6645 { |
| 5275 | 6646 octave_idx_type info; |
| 5164 | 6647 double rcond; |
| 6648 return solve (mattype, b, info, rcond, 0); | |
| 6649 } | |
| 6650 | |
| 6651 ComplexMatrix | |
|
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|
6652 SparseComplexMatrix::solve (MatrixType &mattype, const Matrix& b, |
|
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|
6653 octave_idx_type& info) const |
| 5164 | 6654 { |
| 6655 double rcond; | |
| 6656 return solve (mattype, b, info, rcond, 0); | |
| 6657 } | |
| 6658 | |
| 6659 ComplexMatrix | |
| 5785 | 6660 SparseComplexMatrix::solve (MatrixType &mattype, const Matrix& b, |
|
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|
6661 octave_idx_type& info, double& rcond) const |
| 5164 | 6662 { |
| 6663 return solve (mattype, b, info, rcond, 0); | |
| 6664 } | |
| 6665 | |
| 6666 ComplexMatrix | |
| 5785 | 6667 SparseComplexMatrix::solve (MatrixType &mattype, const Matrix& b, |
|
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6668 octave_idx_type& err, double& rcond, |
|
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|
6669 solve_singularity_handler sing_handler, |
|
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|
6670 bool singular_fallback) const |
| 5164 | 6671 { |
| 5681 | 6672 ComplexMatrix retval; |
| 5322 | 6673 int typ = mattype.type (false); |
| 5164 | 6674 |
| 5785 | 6675 if (typ == MatrixType::Unknown) |
| 5164 | 6676 typ = mattype.type (*this); |
| 6677 | |
| 5785 | 6678 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
| 5681 | 6679 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6680 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
| 5681 | 6681 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6682 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 5681 | 6683 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6684 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
| 5681 | 6685 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
|
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6686 else if (typ == MatrixType::Tridiagonal || |
|
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|
6687 typ == MatrixType::Tridiagonal_Hermitian) |
| 5681 | 6688 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6689 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 5681 | 6690 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
| 5785 | 6691 else if (typ != MatrixType::Rectangular) |
| 5164 | 6692 { |
| 5681 | 6693 (*current_liboctave_error_handler) ("unknown matrix type"); |
| 5164 | 6694 return ComplexMatrix (); |
| 6695 } | |
| 5681 | 6696 |
| 5785 | 6697 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
| 5681 | 6698 { |
| 6699 rcond = 1.; | |
| 6700 #ifdef USE_QRSOLVE | |
| 6701 retval = qrsolve (*this, b, err); | |
| 6702 #else | |
| 6703 retval = dmsolve<ComplexMatrix, SparseComplexMatrix, | |
|
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|
6704 Matrix> (*this, b, err); |
| 5681 | 6705 #endif |
| 6706 } | |
| 6707 | |
| 6708 return retval; | |
| 5164 | 6709 } |
| 6710 | |
| 6711 SparseComplexMatrix | |
| 5785 | 6712 SparseComplexMatrix::solve (MatrixType &mattype, const SparseMatrix& b) const |
| 5164 | 6713 { |
| 5275 | 6714 octave_idx_type info; |
| 5164 | 6715 double rcond; |
| 6716 return solve (mattype, b, info, rcond, 0); | |
| 6717 } | |
| 6718 | |
| 6719 SparseComplexMatrix | |
|
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6720 SparseComplexMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
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6721 octave_idx_type& info) const |
| 5164 | 6722 { |
| 6723 double rcond; | |
| 6724 return solve (mattype, b, info, rcond, 0); | |
| 6725 } | |
| 6726 | |
| 6727 SparseComplexMatrix | |
| 5785 | 6728 SparseComplexMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
|
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6729 octave_idx_type& info, double& rcond) const |
| 5164 | 6730 { |
| 6731 return solve (mattype, b, info, rcond, 0); | |
| 6732 } | |
| 6733 | |
| 6734 SparseComplexMatrix | |
|
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6735 SparseComplexMatrix::solve (MatrixType &mattype, const SparseMatrix& b, |
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6736 octave_idx_type& err, double& rcond, |
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6737 solve_singularity_handler sing_handler, |
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6738 bool singular_fallback) const |
| 5164 | 6739 { |
| 5681 | 6740 SparseComplexMatrix retval; |
| 5322 | 6741 int typ = mattype.type (false); |
| 5164 | 6742 |
| 5785 | 6743 if (typ == MatrixType::Unknown) |
| 5164 | 6744 typ = mattype.type (*this); |
| 6745 | |
| 5785 | 6746 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
| 5681 | 6747 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6748 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
| 5681 | 6749 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6750 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 5681 | 6751 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6752 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
| 5681 | 6753 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
|
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6754 else if (typ == MatrixType::Tridiagonal || |
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6755 typ == MatrixType::Tridiagonal_Hermitian) |
| 5681 | 6756 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6757 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 5681 | 6758 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
| 5785 | 6759 else if (typ != MatrixType::Rectangular) |
| 5164 | 6760 { |
| 5681 | 6761 (*current_liboctave_error_handler) ("unknown matrix type"); |
| 5164 | 6762 return SparseComplexMatrix (); |
| 6763 } | |
| 5681 | 6764 |
| 5785 | 6765 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
| 5681 | 6766 { |
| 6767 rcond = 1.; | |
| 6768 #ifdef USE_QRSOLVE | |
| 6769 retval = qrsolve (*this, b, err); | |
| 6770 #else | |
| 6771 retval = dmsolve<SparseComplexMatrix, SparseComplexMatrix, | |
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6772 SparseMatrix> (*this, b, err); |
| 5681 | 6773 #endif |
| 6774 } | |
| 6775 | |
| 6776 return retval; | |
| 5164 | 6777 } |
| 6778 | |
| 6779 ComplexMatrix | |
| 5785 | 6780 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b) const |
| 5164 | 6781 { |
| 5275 | 6782 octave_idx_type info; |
| 5164 | 6783 double rcond; |
| 6784 return solve (mattype, b, info, rcond, 0); | |
| 6785 } | |
| 6786 | |
| 6787 ComplexMatrix | |
|
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6788 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
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6789 octave_idx_type& info) const |
| 5164 | 6790 { |
| 6791 double rcond; | |
| 6792 return solve (mattype, b, info, rcond, 0); | |
| 6793 } | |
| 6794 | |
| 6795 ComplexMatrix | |
|
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6796 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
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6797 octave_idx_type& info, double& rcond) const |
| 5164 | 6798 { |
| 6799 return solve (mattype, b, info, rcond, 0); | |
| 6800 } | |
| 6801 | |
| 6802 ComplexMatrix | |
|
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6803 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, |
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6804 octave_idx_type& err, double& rcond, |
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6805 solve_singularity_handler sing_handler, |
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6806 bool singular_fallback) const |
| 5164 | 6807 { |
| 5681 | 6808 ComplexMatrix retval; |
| 5322 | 6809 int typ = mattype.type (false); |
| 5164 | 6810 |
| 5785 | 6811 if (typ == MatrixType::Unknown) |
| 5164 | 6812 typ = mattype.type (*this); |
| 6813 | |
| 5785 | 6814 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
| 5681 | 6815 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6816 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
| 5681 | 6817 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6818 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 5681 | 6819 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6820 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
| 5681 | 6821 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
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6822 else if (typ == MatrixType::Tridiagonal || |
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6823 typ == MatrixType::Tridiagonal_Hermitian) |
| 5681 | 6824 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6825 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 5681 | 6826 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
| 5785 | 6827 else if (typ != MatrixType::Rectangular) |
| 5164 | 6828 { |
| 5681 | 6829 (*current_liboctave_error_handler) ("unknown matrix type"); |
| 5164 | 6830 return ComplexMatrix (); |
| 6831 } | |
| 5681 | 6832 |
| 5785 | 6833 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
| 5681 | 6834 { |
| 6835 rcond = 1.; | |
| 6836 #ifdef USE_QRSOLVE | |
| 6837 retval = qrsolve (*this, b, err); | |
| 6838 #else | |
| 6839 retval = dmsolve<ComplexMatrix, SparseComplexMatrix, | |
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6840 ComplexMatrix> (*this, b, err); |
| 5681 | 6841 #endif |
| 6842 } | |
| 6843 | |
| 6844 return retval; | |
| 5164 | 6845 } |
| 6846 | |
| 6847 SparseComplexMatrix | |
|
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6848 SparseComplexMatrix::solve (MatrixType &mattype, |
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6849 const SparseComplexMatrix& b) const |
| 5164 | 6850 { |
| 5275 | 6851 octave_idx_type info; |
| 5164 | 6852 double rcond; |
| 6853 return solve (mattype, b, info, rcond, 0); | |
| 6854 } | |
| 6855 | |
| 6856 SparseComplexMatrix | |
|
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6857 SparseComplexMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
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6858 octave_idx_type& info) const |
| 5164 | 6859 { |
| 6860 double rcond; | |
| 6861 return solve (mattype, b, info, rcond, 0); | |
| 6862 } | |
| 6863 | |
| 6864 SparseComplexMatrix | |
| 5785 | 6865 SparseComplexMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
|
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6866 octave_idx_type& info, double& rcond) const |
| 5164 | 6867 { |
| 6868 return solve (mattype, b, info, rcond, 0); | |
| 6869 } | |
| 6870 | |
| 6871 SparseComplexMatrix | |
|
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6872 SparseComplexMatrix::solve (MatrixType &mattype, const SparseComplexMatrix& b, |
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6873 octave_idx_type& err, double& rcond, |
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6874 solve_singularity_handler sing_handler, |
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6875 bool singular_fallback) const |
| 5164 | 6876 { |
| 5681 | 6877 SparseComplexMatrix retval; |
| 5322 | 6878 int typ = mattype.type (false); |
| 5164 | 6879 |
| 5785 | 6880 if (typ == MatrixType::Unknown) |
| 5164 | 6881 typ = mattype.type (*this); |
| 6882 | |
| 5785 | 6883 if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) |
| 5681 | 6884 retval = dsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6885 else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) |
| 5681 | 6886 retval = utsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6887 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 5681 | 6888 retval = ltsolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6889 else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) |
| 5681 | 6890 retval = bsolve (mattype, b, err, rcond, sing_handler, false); |
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6891 else if (typ == MatrixType::Tridiagonal || |
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6892 typ == MatrixType::Tridiagonal_Hermitian) |
| 5681 | 6893 retval = trisolve (mattype, b, err, rcond, sing_handler, false); |
| 5785 | 6894 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 5681 | 6895 retval = fsolve (mattype, b, err, rcond, sing_handler, true); |
| 5785 | 6896 else if (typ != MatrixType::Rectangular) |
| 5164 | 6897 { |
| 5681 | 6898 (*current_liboctave_error_handler) ("unknown matrix type"); |
| 5164 | 6899 return SparseComplexMatrix (); |
| 6900 } | |
| 5681 | 6901 |
| 5785 | 6902 if (singular_fallback && mattype.type(false) == MatrixType::Rectangular) |
| 5681 | 6903 { |
| 6904 rcond = 1.; | |
| 6905 #ifdef USE_QRSOLVE | |
| 6906 retval = qrsolve (*this, b, err); | |
| 6907 #else | |
| 6908 retval = dmsolve<SparseComplexMatrix, SparseComplexMatrix, | |
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|
6909 SparseComplexMatrix> (*this, b, err); |
| 5681 | 6910 #endif |
| 6911 } | |
| 6912 | |
| 6913 return retval; | |
| 5164 | 6914 } |
| 6915 | |
| 6916 ComplexColumnVector | |
| 5785 | 6917 SparseComplexMatrix::solve (MatrixType &mattype, const ColumnVector& b) const |
| 5164 | 6918 { |
| 5275 | 6919 octave_idx_type info; double rcond; |
| 5164 | 6920 return solve (mattype, b, info, rcond); |
| 6921 } | |
| 6922 | |
| 6923 ComplexColumnVector | |
|
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6924 SparseComplexMatrix::solve (MatrixType &mattype, const ColumnVector& b, |
|
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6925 octave_idx_type& info) const |
| 5164 | 6926 { |
| 6927 double rcond; | |
| 6928 return solve (mattype, b, info, rcond); | |
| 6929 } | |
| 6930 | |
| 6931 ComplexColumnVector | |
|
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6932 SparseComplexMatrix::solve (MatrixType &mattype, const ColumnVector& b, |
|
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6933 octave_idx_type& info, double& rcond) const |
| 5164 | 6934 { |
| 6935 return solve (mattype, b, info, rcond, 0); | |
| 6936 } | |
| 6937 | |
| 6938 ComplexColumnVector | |
|
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6939 SparseComplexMatrix::solve (MatrixType &mattype, const ColumnVector& b, |
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6940 octave_idx_type& info, double& rcond, |
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6941 solve_singularity_handler sing_handler) const |
| 5164 | 6942 { |
| 6943 Matrix tmp (b); | |
| 5275 | 6944 return solve (mattype, tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
| 5164 | 6945 } |
| 6946 | |
| 6947 ComplexColumnVector | |
|
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6948 SparseComplexMatrix::solve (MatrixType &mattype, |
|
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6949 const ComplexColumnVector& b) const |
| 5164 | 6950 { |
| 5275 | 6951 octave_idx_type info; |
| 5164 | 6952 double rcond; |
| 6953 return solve (mattype, b, info, rcond, 0); | |
| 6954 } | |
| 6955 | |
| 6956 ComplexColumnVector | |
| 5785 | 6957 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, |
|
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6958 octave_idx_type& info) const |
| 5164 | 6959 { |
| 6960 double rcond; | |
| 6961 return solve (mattype, b, info, rcond, 0); | |
| 6962 } | |
| 6963 | |
| 6964 ComplexColumnVector | |
| 5785 | 6965 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, |
|
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6966 octave_idx_type& info, double& rcond) const |
| 5164 | 6967 { |
| 6968 return solve (mattype, b, info, rcond, 0); | |
| 6969 } | |
| 6970 | |
| 6971 ComplexColumnVector | |
| 5785 | 6972 SparseComplexMatrix::solve (MatrixType &mattype, const ComplexColumnVector& b, |
|
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6973 octave_idx_type& info, double& rcond, |
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6974 solve_singularity_handler sing_handler) const |
| 5164 | 6975 { |
| 6976 ComplexMatrix tmp (b); | |
| 5275 | 6977 return solve (mattype, tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
| 5164 | 6978 } |
| 6979 | |
| 6980 ComplexMatrix | |
| 6981 SparseComplexMatrix::solve (const Matrix& b) const | |
| 6982 { | |
| 5275 | 6983 octave_idx_type info; |
| 5164 | 6984 double rcond; |
| 6985 return solve (b, info, rcond, 0); | |
| 6986 } | |
| 6987 | |
| 6988 ComplexMatrix | |
| 5275 | 6989 SparseComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 5164 | 6990 { |
| 6991 double rcond; | |
| 6992 return solve (b, info, rcond, 0); | |
| 6993 } | |
| 6994 | |
| 6995 ComplexMatrix | |
|
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6996 SparseComplexMatrix::solve (const Matrix& b, octave_idx_type& info, |
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6997 double& rcond) const |
| 5164 | 6998 { |
| 6999 return solve (b, info, rcond, 0); | |
| 7000 } | |
| 7001 | |
| 7002 ComplexMatrix | |
|
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7003 SparseComplexMatrix::solve (const Matrix& b, octave_idx_type& err, |
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7004 double& rcond, |
|
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7005 solve_singularity_handler sing_handler) const |
| 5164 | 7006 { |
| 5785 | 7007 MatrixType mattype (*this); |
| 5164 | 7008 return solve (mattype, b, err, rcond, sing_handler); |
| 7009 } | |
| 7010 | |
| 7011 SparseComplexMatrix | |
| 7012 SparseComplexMatrix::solve (const SparseMatrix& b) const | |
| 7013 { | |
| 5275 | 7014 octave_idx_type info; |
| 5164 | 7015 double rcond; |
| 7016 return solve (b, info, rcond, 0); | |
| 7017 } | |
| 7018 | |
| 7019 SparseComplexMatrix | |
|
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|
7020 SparseComplexMatrix::solve (const SparseMatrix& b, |
|
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|
7021 octave_idx_type& info) const |
| 5164 | 7022 { |
| 7023 double rcond; | |
| 7024 return solve (b, info, rcond, 0); | |
| 7025 } | |
| 7026 | |
| 7027 SparseComplexMatrix | |
| 7028 SparseComplexMatrix::solve (const SparseMatrix& b, | |
|
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|
7029 octave_idx_type& info, double& rcond) const |
| 5164 | 7030 { |
| 7031 return solve (b, info, rcond, 0); | |
| 7032 } | |
| 7033 | |
| 7034 SparseComplexMatrix | |
|
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|
7035 SparseComplexMatrix::solve (const SparseMatrix& b, |
|
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|
7036 octave_idx_type& err, double& rcond, |
|
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|
7037 solve_singularity_handler sing_handler) const |
| 5164 | 7038 { |
| 5785 | 7039 MatrixType mattype (*this); |
| 5164 | 7040 return solve (mattype, b, err, rcond, sing_handler); |
| 7041 } | |
| 7042 | |
| 7043 ComplexMatrix | |
|
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|
7044 SparseComplexMatrix::solve (const ComplexMatrix& b, |
|
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|
7045 octave_idx_type& info) const |
| 5164 | 7046 { |
| 7047 double rcond; | |
| 7048 return solve (b, info, rcond, 0); | |
| 7049 } | |
| 7050 | |
| 7051 ComplexMatrix | |
|
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|
7052 SparseComplexMatrix::solve (const ComplexMatrix& b, |
|
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|
7053 octave_idx_type& info, double& rcond) const |
| 5164 | 7054 { |
| 7055 return solve (b, info, rcond, 0); | |
| 7056 } | |
| 7057 | |
| 7058 ComplexMatrix | |
|
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|
7059 SparseComplexMatrix::solve (const ComplexMatrix& b, |
|
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|
7060 octave_idx_type& err, double& rcond, |
|
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|
7061 solve_singularity_handler sing_handler) const |
| 5164 | 7062 { |
| 5785 | 7063 MatrixType mattype (*this); |
| 5164 | 7064 return solve (mattype, b, err, rcond, sing_handler); |
| 7065 } | |
| 7066 | |
| 7067 SparseComplexMatrix | |
| 7068 SparseComplexMatrix::solve (const SparseComplexMatrix& b) const | |
| 7069 { | |
| 5275 | 7070 octave_idx_type info; |
| 5164 | 7071 double rcond; |
| 7072 return solve (b, info, rcond, 0); | |
| 7073 } | |
| 7074 | |
| 7075 SparseComplexMatrix | |
|
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|
7076 SparseComplexMatrix::solve (const SparseComplexMatrix& b, |
|
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|
7077 octave_idx_type& info) const |
| 5164 | 7078 { |
| 7079 double rcond; | |
| 7080 return solve (b, info, rcond, 0); | |
| 7081 } | |
| 7082 | |
| 7083 SparseComplexMatrix | |
| 7084 SparseComplexMatrix::solve (const SparseComplexMatrix& b, | |
|
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|
7085 octave_idx_type& info, double& rcond) const |
| 5164 | 7086 { |
| 7087 return solve (b, info, rcond, 0); | |
| 7088 } | |
| 7089 | |
| 7090 SparseComplexMatrix | |
|
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|
7091 SparseComplexMatrix::solve (const SparseComplexMatrix& b, |
|
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|
7092 octave_idx_type& err, double& rcond, |
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|
7093 solve_singularity_handler sing_handler) const |
| 5164 | 7094 { |
| 5785 | 7095 MatrixType mattype (*this); |
| 5164 | 7096 return solve (mattype, b, err, rcond, sing_handler); |
| 7097 } | |
| 7098 | |
| 7099 ComplexColumnVector | |
| 7100 SparseComplexMatrix::solve (const ColumnVector& b) const | |
| 7101 { | |
| 5275 | 7102 octave_idx_type info; double rcond; |
| 5164 | 7103 return solve (b, info, rcond); |
| 7104 } | |
| 7105 | |
| 7106 ComplexColumnVector | |
| 5275 | 7107 SparseComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 5164 | 7108 { |
| 7109 double rcond; | |
| 7110 return solve (b, info, rcond); | |
| 7111 } | |
| 7112 | |
| 7113 ComplexColumnVector | |
|
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|
7114 SparseComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
|
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|
7115 double& rcond) const |
| 5164 | 7116 { |
| 7117 return solve (b, info, rcond, 0); | |
| 7118 } | |
| 7119 | |
| 7120 ComplexColumnVector | |
| 5275 | 7121 SparseComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcond, |
|
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|
7122 solve_singularity_handler sing_handler) const |
| 5164 | 7123 { |
| 7124 Matrix tmp (b); | |
| 5275 | 7125 return solve (tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
| 5164 | 7126 } |
| 7127 | |
| 7128 ComplexColumnVector | |
| 7129 SparseComplexMatrix::solve (const ComplexColumnVector& b) const | |
| 7130 { | |
| 5275 | 7131 octave_idx_type info; |
| 5164 | 7132 double rcond; |
| 7133 return solve (b, info, rcond, 0); | |
| 7134 } | |
| 7135 | |
| 7136 ComplexColumnVector | |
| 5275 | 7137 SparseComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 5164 | 7138 { |
| 7139 double rcond; | |
| 7140 return solve (b, info, rcond, 0); | |
| 7141 } | |
| 7142 | |
| 7143 ComplexColumnVector | |
|
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|
7144 SparseComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
|
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|
7145 double& rcond) const |
| 5164 | 7146 { |
| 7147 return solve (b, info, rcond, 0); | |
| 7148 } | |
| 7149 | |
| 7150 ComplexColumnVector | |
|
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|
7151 SparseComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
|
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|
7152 double& rcond, |
|
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|
7153 solve_singularity_handler sing_handler) const |
| 5164 | 7154 { |
| 7155 ComplexMatrix tmp (b); | |
| 5275 | 7156 return solve (tmp, info, rcond, sing_handler).column (static_cast<octave_idx_type> (0)); |
| 5164 | 7157 } |
| 7158 | |
| 7159 // unary operations | |
| 7160 SparseBoolMatrix | |
| 7161 SparseComplexMatrix::operator ! (void) const | |
| 7162 { | |
|
11130
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consistently give error for operator not applied to NaN values
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|
7163 if (any_element_is_nan ()) |
|
7c573eb981eb
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|
7164 gripe_nan_to_logical_conversion (); |
|
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|
7165 |
| 5275 | 7166 octave_idx_type nr = rows (); |
| 7167 octave_idx_type nc = cols (); | |
| 5681 | 7168 octave_idx_type nz1 = nnz (); |
| 5275 | 7169 octave_idx_type nz2 = nr*nc - nz1; |
|
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|
7170 |
| 5164 | 7171 SparseBoolMatrix r (nr, nc, nz2); |
|
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|
7172 |
| 5275 | 7173 octave_idx_type ii = 0; |
| 7174 octave_idx_type jj = 0; | |
| 5164 | 7175 r.cidx (0) = 0; |
| 5275 | 7176 for (octave_idx_type i = 0; i < nc; i++) |
| 5164 | 7177 { |
| 5275 | 7178 for (octave_idx_type j = 0; j < nr; j++) |
|
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|
7179 { |
|
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|
7180 if (jj < cidx(i+1) && ridx(jj) == j) |
|
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|
7181 jj++; |
|
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|
7182 else |
|
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|
7183 { |
|
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|
7184 r.data(ii) = true; |
|
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|
7185 r.ridx(ii++) = j; |
|
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|
7186 } |
|
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|
7187 } |
| 5164 | 7188 r.cidx (i+1) = ii; |
| 7189 } | |
| 7190 | |
| 7191 return r; | |
| 7192 } | |
| 7193 | |
|
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|
7194 SparseComplexMatrix |
| 5164 | 7195 SparseComplexMatrix::squeeze (void) const |
|
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|
7196 { |
|
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|
7197 return MSparse<Complex>::squeeze (); |
| 5164 | 7198 } |
| 7199 | |
| 7200 SparseComplexMatrix | |
| 7201 SparseComplexMatrix::reshape (const dim_vector& new_dims) const | |
| 7202 { | |
| 7203 return MSparse<Complex>::reshape (new_dims); | |
| 7204 } | |
| 7205 | |
| 7206 SparseComplexMatrix | |
| 5275 | 7207 SparseComplexMatrix::permute (const Array<octave_idx_type>& vec, bool inv) const |
| 5164 | 7208 { |
| 7209 return MSparse<Complex>::permute (vec, inv); | |
| 7210 } | |
| 7211 | |
| 7212 SparseComplexMatrix | |
| 5275 | 7213 SparseComplexMatrix::ipermute (const Array<octave_idx_type>& vec) const |
| 5164 | 7214 { |
| 7215 return MSparse<Complex>::ipermute (vec); | |
| 7216 } | |
| 7217 | |
| 7218 // other operations | |
| 7219 | |
| 7220 bool | |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7802
diff
changeset
|
7221 SparseComplexMatrix::any_element_is_nan (void) const |
|
935be827eaf8
error for NaN values in & and | expressions
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7802
diff
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|
7222 { |
|
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error for NaN values in & and | expressions
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diff
changeset
|
7223 octave_idx_type nel = nnz (); |
|
935be827eaf8
error for NaN values in & and | expressions
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7802
diff
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|
7224 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
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7802
diff
changeset
|
7225 for (octave_idx_type i = 0; i < nel; i++) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7802
diff
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|
7226 { |
|
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diff
changeset
|
7227 Complex val = data (i); |
|
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error for NaN values in & and | expressions
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|
7228 if (xisnan (val)) |
|
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|
7229 return true; |
|
7922
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|
7230 } |
|
935be827eaf8
error for NaN values in & and | expressions
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diff
changeset
|
7231 |
|
935be827eaf8
error for NaN values in & and | expressions
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7802
diff
changeset
|
7232 return false; |
|
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7802
diff
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|
7233 } |
|
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diff
changeset
|
7234 |
|
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error for NaN values in & and | expressions
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7802
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|
7235 bool |
| 5164 | 7236 SparseComplexMatrix::any_element_is_inf_or_nan (void) const |
| 7237 { | |
| 5681 | 7238 octave_idx_type nel = nnz (); |
| 5275 | 7239 |
| 7240 for (octave_idx_type i = 0; i < nel; i++) | |
| 5164 | 7241 { |
| 7242 Complex val = data (i); | |
| 7243 if (xisinf (val) || xisnan (val)) | |
|
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|
7244 return true; |
| 5164 | 7245 } |
| 7246 | |
| 7247 return false; | |
| 7248 } | |
| 7249 | |
| 7250 // Return true if no elements have imaginary components. | |
| 7251 | |
| 7252 bool | |
| 7253 SparseComplexMatrix::all_elements_are_real (void) const | |
| 7254 { | |
|
9825
7483fe200fab
narrow complex values with negative zero imaginary parts
Jaroslav Hajek <highegg@gmail.com>
parents:
9812
diff
changeset
|
7255 return mx_inline_all_real (nnz (), data ()); |
| 5164 | 7256 } |
| 7257 | |
| 7258 // Return nonzero if any element of CM has a non-integer real or | |
| 7259 // imaginary part. Also extract the largest and smallest (real or | |
|
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|
7260 // imaginary) values and return them in MAX_VAL and MIN_VAL. |
| 5164 | 7261 |
| 7262 bool | |
| 7263 SparseComplexMatrix::all_integers (double& max_val, double& min_val) const | |
| 7264 { | |
| 5681 | 7265 octave_idx_type nel = nnz (); |
| 5164 | 7266 |
| 7267 if (nel == 0) | |
| 7268 return false; | |
| 7269 | |
| 5261 | 7270 max_val = std::real(data (0)); |
| 7271 min_val = std::real(data (0)); | |
| 5164 | 7272 |
| 5275 | 7273 for (octave_idx_type i = 0; i < nel; i++) |
| 5164 | 7274 { |
|
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|
7275 Complex val = data (i); |
|
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|
7276 |
|
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|
7277 double r_val = std::real (val); |
|
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|
7278 double i_val = std::imag (val); |
|
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|
7279 |
|
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|
7280 if (r_val > max_val) |
|
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|
7281 max_val = r_val; |
|
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|
7282 |
|
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|
7283 if (i_val > max_val) |
|
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|
7284 max_val = i_val; |
|
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changeset
|
7285 |
|
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changeset
|
7286 if (r_val < min_val) |
|
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|
7287 min_val = r_val; |
|
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|
7288 |
|
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changeset
|
7289 if (i_val < min_val) |
|
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changeset
|
7290 min_val = i_val; |
|
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John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7291 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7292 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7293 return false; |
| 5164 | 7294 } |
| 7295 | |
| 7296 return true; | |
| 7297 } | |
| 7298 | |
| 7299 bool | |
| 7300 SparseComplexMatrix::too_large_for_float (void) const | |
| 7301 { | |
| 5681 | 7302 octave_idx_type nel = nnz (); |
| 5275 | 7303 |
| 7304 for (octave_idx_type i = 0; i < nel; i++) | |
| 5164 | 7305 { |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7306 Complex val = data (i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7307 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7308 double r_val = std::real (val); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7309 double i_val = std::imag (val); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7310 |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7311 if (r_val > FLT_MAX |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7312 || i_val > FLT_MAX |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7313 || r_val < FLT_MIN |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7314 || i_val < FLT_MIN) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7315 return true; |
| 5164 | 7316 } |
| 7317 | |
| 7318 return false; | |
| 7319 } | |
| 7320 | |
| 5775 | 7321 // FIXME Do these really belong here? Maybe they should be |
| 5164 | 7322 // in a base class? |
| 7323 | |
| 7324 SparseBoolMatrix | |
| 7325 SparseComplexMatrix::all (int dim) const | |
| 7326 { | |
| 7327 SPARSE_ALL_OP (dim); | |
| 7328 } | |
| 7329 | |
| 7330 SparseBoolMatrix | |
| 7331 SparseComplexMatrix::any (int dim) const | |
| 7332 { | |
| 7333 SPARSE_ANY_OP (dim); | |
| 7334 } | |
| 7335 | |
| 7336 SparseComplexMatrix | |
| 7337 SparseComplexMatrix::cumprod (int dim) const | |
| 7338 { | |
| 7339 SPARSE_CUMPROD (SparseComplexMatrix, Complex, cumprod); | |
| 7340 } | |
| 7341 | |
| 7342 SparseComplexMatrix | |
| 7343 SparseComplexMatrix::cumsum (int dim) const | |
| 7344 { | |
| 7345 SPARSE_CUMSUM (SparseComplexMatrix, Complex, cumsum); | |
| 7346 } | |
| 7347 | |
| 7348 SparseComplexMatrix | |
| 7349 SparseComplexMatrix::prod (int dim) const | |
| 7350 { | |
| 7269 | 7351 if ((rows() == 1 && dim == -1) || dim == 1) |
| 7352 return transpose (). prod (0). transpose(); | |
| 7353 else | |
| 7354 { | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7355 SPARSE_REDUCTION_OP (SparseComplexMatrix, Complex, *=, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7356 (cidx(j+1) - cidx(j) < nr ? 0.0 : 1.0), 1.0); |
| 7269 | 7357 } |
| 5164 | 7358 } |
| 7359 | |
| 7360 SparseComplexMatrix | |
| 7361 SparseComplexMatrix::sum (int dim) const | |
| 7362 { | |
| 7363 SPARSE_REDUCTION_OP (SparseComplexMatrix, Complex, +=, 0.0, 0.0); | |
| 7364 } | |
| 7365 | |
| 7366 SparseComplexMatrix | |
| 7367 SparseComplexMatrix::sumsq (int dim) const | |
| 7368 { | |
| 7369 #define ROW_EXPR \ | |
| 7269 | 7370 Complex d = data (i); \ |
| 7371 tmp [ridx(i)] += d * conj (d) | |
| 5164 | 7372 |
| 7373 #define COL_EXPR \ | |
| 7269 | 7374 Complex d = data (i); \ |
| 5164 | 7375 tmp [j] += d * conj (d) |
| 7376 | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7377 SPARSE_BASE_REDUCTION_OP (SparseComplexMatrix, Complex, ROW_EXPR, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7378 COL_EXPR, 0.0, 0.0); |
| 5164 | 7379 |
| 7380 #undef ROW_EXPR | |
| 7381 #undef COL_EXPR | |
| 7382 } | |
| 7383 | |
| 7384 SparseMatrix SparseComplexMatrix::abs (void) const | |
| 7385 { | |
| 5681 | 7386 octave_idx_type nz = nnz (); |
| 5275 | 7387 octave_idx_type nc = cols (); |
| 5164 | 7388 |
| 7389 SparseMatrix retval (rows(), nc, nz); | |
| 7390 | |
| 5275 | 7391 for (octave_idx_type i = 0; i < nc + 1; i++) |
| 5164 | 7392 retval.cidx (i) = cidx (i); |
| 7393 | |
| 5275 | 7394 for (octave_idx_type i = 0; i < nz; i++) |
| 5164 | 7395 { |
| 5261 | 7396 retval.data (i) = std::abs (data (i)); |
| 5164 | 7397 retval.ridx (i) = ridx (i); |
| 7398 } | |
| 7399 | |
| 7400 return retval; | |
| 7401 } | |
| 7402 | |
| 7403 SparseComplexMatrix | |
| 5275 | 7404 SparseComplexMatrix::diag (octave_idx_type k) const |
| 5164 | 7405 { |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7602
diff
changeset
|
7406 return MSparse<Complex>::diag (k); |
| 5164 | 7407 } |
| 7408 | |
| 7409 std::ostream& | |
| 7410 operator << (std::ostream& os, const SparseComplexMatrix& a) | |
| 7411 { | |
| 5275 | 7412 octave_idx_type nc = a.cols (); |
| 5164 | 7413 |
| 7414 // add one to the printed indices to go from | |
| 7415 // zero-based to one-based arrays | |
| 10550 | 7416 for (octave_idx_type j = 0; j < nc; j++) |
| 7417 { | |
| 7418 octave_quit (); | |
| 7419 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++) | |
| 7420 { | |
| 7421 os << a.ridx(i) + 1 << " " << j + 1 << " "; | |
| 7422 octave_write_complex (os, a.data(i)); | |
| 7423 os << "\n"; | |
| 7424 } | |
| 7425 } | |
| 5164 | 7426 |
| 7427 return os; | |
| 7428 } | |
| 7429 | |
| 7430 std::istream& | |
| 7431 operator >> (std::istream& is, SparseComplexMatrix& a) | |
| 7432 { | |
|
9469
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7433 typedef SparseComplexMatrix::element_type elt_type; |
|
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7434 |
|
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9417
diff
changeset
|
7435 return read_sparse_matrix<elt_type> (is, a, octave_read_value<Complex>); |
| 5164 | 7436 } |
| 7437 | |
| 7438 SparseComplexMatrix | |
| 7439 operator * (const SparseComplexMatrix& m, const SparseMatrix& a) | |
| 7440 { | |
| 5681 | 7441 SPARSE_SPARSE_MUL (SparseComplexMatrix, Complex, double); |
| 5164 | 7442 } |
| 7443 | |
| 7444 SparseComplexMatrix | |
| 7445 operator * (const SparseMatrix& m, const SparseComplexMatrix& a) | |
| 7446 { | |
| 5681 | 7447 SPARSE_SPARSE_MUL (SparseComplexMatrix, Complex, Complex); |
| 5164 | 7448 } |
| 7449 | |
| 7450 SparseComplexMatrix | |
| 7451 operator * (const SparseComplexMatrix& m, const SparseComplexMatrix& a) | |
| 7452 { | |
| 5681 | 7453 SPARSE_SPARSE_MUL (SparseComplexMatrix, Complex, Complex); |
| 5164 | 7454 } |
| 7455 | |
| 5429 | 7456 ComplexMatrix |
| 7457 operator * (const ComplexMatrix& m, const SparseMatrix& a) | |
| 7458 { | |
| 5681 | 7459 FULL_SPARSE_MUL (ComplexMatrix, double, Complex (0.,0.)); |
| 5429 | 7460 } |
| 7461 | |
| 7462 ComplexMatrix | |
| 7463 operator * (const Matrix& m, const SparseComplexMatrix& a) | |
| 7464 { | |
| 5681 | 7465 FULL_SPARSE_MUL (ComplexMatrix, Complex, Complex (0.,0.)); |
| 5429 | 7466 } |
| 7467 | |
| 7468 ComplexMatrix | |
| 7469 operator * (const ComplexMatrix& m, const SparseComplexMatrix& a) | |
| 7470 { | |
| 5681 | 7471 FULL_SPARSE_MUL (ComplexMatrix, Complex, Complex (0.,0.)); |
| 5429 | 7472 } |
| 7473 | |
| 7474 ComplexMatrix | |
|
7802
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7475 mul_trans (const ComplexMatrix& m, const SparseComplexMatrix& a) |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7476 { |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7477 FULL_SPARSE_MUL_TRANS (ComplexMatrix, Complex, Complex (0.,0.), ); |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7478 } |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7479 |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7480 ComplexMatrix |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7481 mul_herm (const ComplexMatrix& m, const SparseComplexMatrix& a) |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7482 { |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7483 FULL_SPARSE_MUL_TRANS (ComplexMatrix, Complex, Complex (0.,0.), conj); |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7484 } |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7485 |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7486 ComplexMatrix |
| 5429 | 7487 operator * (const SparseComplexMatrix& m, const Matrix& a) |
| 7488 { | |
| 5681 | 7489 SPARSE_FULL_MUL (ComplexMatrix, double, Complex (0.,0.)); |
| 5429 | 7490 } |
| 7491 | |
| 7492 ComplexMatrix | |
| 7493 operator * (const SparseMatrix& m, const ComplexMatrix& a) | |
| 7494 { | |
| 5681 | 7495 SPARSE_FULL_MUL (ComplexMatrix, Complex, Complex (0.,0.)); |
| 5429 | 7496 } |
| 7497 | |
| 7498 ComplexMatrix | |
| 7499 operator * (const SparseComplexMatrix& m, const ComplexMatrix& a) | |
| 7500 { | |
| 5681 | 7501 SPARSE_FULL_MUL (ComplexMatrix, Complex, Complex (0.,0.)); |
| 5429 | 7502 } |
| 7503 | |
|
7802
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7504 ComplexMatrix |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7505 trans_mul (const SparseComplexMatrix& m, const ComplexMatrix& a) |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7506 { |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7507 SPARSE_FULL_TRANS_MUL (ComplexMatrix, Complex, Complex (0.,0.), ); |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7508 } |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7509 |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7510 ComplexMatrix |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7511 herm_mul (const SparseComplexMatrix& m, const ComplexMatrix& a) |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7512 { |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7513 SPARSE_FULL_TRANS_MUL (ComplexMatrix, Complex, Complex (0.,0.), conj); |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7514 } |
|
1a446f28ce68
implement optimized sparse-dense transposed multiplication
Jaroslav Hajek <highegg@gmail.com>
parents:
7620
diff
changeset
|
7515 |
|
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7516 // diag * sparse and sparse * diag |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7517 SparseComplexMatrix |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7518 operator * (const DiagMatrix& d, const SparseComplexMatrix& a) |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7519 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7520 return do_mul_dm_sm<SparseComplexMatrix> (d, a); |
|
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7521 } |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7522 SparseComplexMatrix |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7523 operator * (const SparseComplexMatrix& a, const DiagMatrix& d) |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7524 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7525 return do_mul_sm_dm<SparseComplexMatrix> (a, d); |
|
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7526 } |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7527 |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7528 SparseComplexMatrix |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7529 operator * (const ComplexDiagMatrix& d, const SparseMatrix& a) |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7530 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7531 return do_mul_dm_sm<SparseComplexMatrix> (d, a); |
|
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7532 } |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7533 SparseComplexMatrix |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7534 operator * (const SparseMatrix& a, const ComplexDiagMatrix& d) |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7535 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7536 return do_mul_sm_dm<SparseComplexMatrix> (a, d); |
|
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7537 } |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7538 |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7539 SparseComplexMatrix |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7540 operator * (const ComplexDiagMatrix& d, const SparseComplexMatrix& a) |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7541 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7542 return do_mul_dm_sm<SparseComplexMatrix> (d, a); |
|
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7543 } |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7544 SparseComplexMatrix |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7545 operator * (const SparseComplexMatrix& a, const ComplexDiagMatrix& d) |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7546 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7547 return do_mul_sm_dm<SparseComplexMatrix> (a, d); |
|
8964
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7548 } |
|
f4f4d65faaa0
Implement sparse * diagonal and diagonal * sparse operations, double-prec only.
Jason Riedy <jason@acm.org>
parents:
8920
diff
changeset
|
7549 |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7550 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7551 operator + (const ComplexDiagMatrix& d, const SparseMatrix& a) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7552 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7553 return do_add_dm_sm<SparseComplexMatrix> (d, a); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7554 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7555 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7556 operator + (const DiagMatrix& d, const SparseComplexMatrix& a) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7557 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7558 return do_add_dm_sm<SparseComplexMatrix> (d, a); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7559 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7560 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7561 operator + (const ComplexDiagMatrix& d, const SparseComplexMatrix& a) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7562 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7563 return do_add_dm_sm<SparseComplexMatrix> (d, a); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7564 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7565 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7566 operator + (const SparseMatrix& a, const ComplexDiagMatrix& d) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7567 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7568 return do_add_sm_dm<SparseComplexMatrix> (a, d); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7569 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7570 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7571 operator + (const SparseComplexMatrix& a, const DiagMatrix& d) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7572 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7573 return do_add_sm_dm<SparseComplexMatrix> (a, d); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7574 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7575 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7576 operator + (const SparseComplexMatrix&a, const ComplexDiagMatrix& d) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7577 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7578 return do_add_sm_dm<SparseComplexMatrix> (a, d); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7579 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7580 |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7581 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7582 operator - (const ComplexDiagMatrix& d, const SparseMatrix& a) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7583 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7584 return do_sub_dm_sm<SparseComplexMatrix> (d, a); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7585 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7586 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7587 operator - (const DiagMatrix& d, const SparseComplexMatrix& a) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7588 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7589 return do_sub_dm_sm<SparseComplexMatrix> (d, a); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7590 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7591 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7592 operator - (const ComplexDiagMatrix& d, const SparseComplexMatrix& a) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7593 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7594 return do_sub_dm_sm<SparseComplexMatrix> (d, a); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7595 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7596 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7597 operator - (const SparseMatrix& a, const ComplexDiagMatrix& d) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7598 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7599 return do_sub_sm_dm<SparseComplexMatrix> (a, d); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7600 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7601 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7602 operator - (const SparseComplexMatrix& a, const DiagMatrix& d) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7603 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7604 return do_sub_sm_dm<SparseComplexMatrix> (a, d); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7605 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7606 SparseComplexMatrix |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7607 operator - (const SparseComplexMatrix&a, const ComplexDiagMatrix& d) |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7608 { |
|
8967
5bbbf482909a
fix omissions adjusting JR's patches
Jaroslav Hajek <highegg@gmail.com>
parents:
8966
diff
changeset
|
7609 return do_sub_sm_dm<SparseComplexMatrix> (a, d); |
|
8966
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7610 } |
|
1bba53c0a38d
Implement diag + sparse, diag - sparse, sparse + diag, sparse - diag.
Jason Riedy <jason@acm.org>
parents:
8964
diff
changeset
|
7611 |
|
8968
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7612 // 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
|
7613 |
|
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7614 SparseComplexMatrix |
|
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7615 operator * (const PermMatrix& p, const SparseComplexMatrix& a) |
|
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7616 { |
|
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7617 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
|
7618 } |
|
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7619 |
|
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7620 SparseComplexMatrix |
|
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7621 operator * (const SparseComplexMatrix& a, const PermMatrix& p) |
|
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7622 { |
|
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7623 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
|
7624 } |
|
91d53dc37f79
Add perm * sparse, perm \ sparse, sparse * perm, and sparse / perm operations.
Jason Riedy <jason@acm.org>
parents:
8967
diff
changeset
|
7625 |
| 5775 | 7626 // FIXME -- it would be nice to share code among the min/max |
| 5164 | 7627 // functions below. |
| 7628 | |
| 7629 #define EMPTY_RETURN_CHECK(T) \ | |
| 7630 if (nr == 0 || nc == 0) \ | |
| 7631 return T (nr, nc); | |
| 7632 | |
| 7633 SparseComplexMatrix | |
| 7634 min (const Complex& c, const SparseComplexMatrix& m) | |
| 7635 { | |
| 7636 SparseComplexMatrix result; | |
| 7637 | |
| 5275 | 7638 octave_idx_type nr = m.rows (); |
| 7639 octave_idx_type nc = m.columns (); | |
| 5164 | 7640 |
| 7641 EMPTY_RETURN_CHECK (SparseComplexMatrix); | |
| 7642 | |
| 7643 if (abs(c) == 0.) | |
| 7644 return SparseComplexMatrix (nr, nc); | |
| 7645 else | |
| 7646 { | |
| 7647 result = SparseComplexMatrix (m); | |
| 7648 | |
| 5275 | 7649 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
|
7650 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
|
7651 result.data(i) = xmin(c, m.data(i)); |
| 5164 | 7652 } |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7653 |
| 5164 | 7654 return result; |
| 7655 } | |
| 7656 | |
| 7657 SparseComplexMatrix | |
| 7658 min (const SparseComplexMatrix& m, const Complex& c) | |
| 7659 { | |
| 7660 return min (c, m); | |
| 7661 } | |
| 7662 | |
| 7663 SparseComplexMatrix | |
| 7664 min (const SparseComplexMatrix& a, const SparseComplexMatrix& b) | |
| 7665 { | |
| 7666 SparseComplexMatrix r; | |
| 7667 | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7668 if ((a.rows() == b.rows()) && (a.cols() == b.cols())) |
| 5164 | 7669 { |
| 5275 | 7670 octave_idx_type a_nr = a.rows (); |
| 7671 octave_idx_type a_nc = a.cols (); | |
| 7672 | |
| 7673 octave_idx_type b_nr = b.rows (); | |
| 7674 octave_idx_type b_nc = b.cols (); | |
| 5164 | 7675 |
| 5681 | 7676 if (a_nr == 0 || b_nc == 0 || a.nnz () == 0 || b.nnz () == 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7677 return SparseComplexMatrix (a_nr, a_nc); |
| 5164 | 7678 |
| 7679 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
|
7680 gripe_nonconformant ("min", a_nr, a_nc, b_nr, b_nc); |
| 5164 | 7681 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7682 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7683 r = SparseComplexMatrix (a_nr, a_nc, (a.nnz () + b.nnz ())); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7684 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7685 octave_idx_type jx = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7686 r.cidx (0) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7687 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
|
7688 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7689 octave_idx_type ja = a.cidx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7690 octave_idx_type ja_max = a.cidx(i+1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7691 bool ja_lt_max= ja < ja_max; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7692 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7693 octave_idx_type jb = b.cidx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7694 octave_idx_type jb_max = b.cidx(i+1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7695 bool jb_lt_max = jb < jb_max; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7696 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7697 while (ja_lt_max || jb_lt_max ) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7698 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7699 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7700 if ((! jb_lt_max) || |
| 5164 | 7701 (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
|
7702 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7703 Complex tmp = xmin (a.data(ja), 0.); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7704 if (tmp != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7705 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7706 r.ridx(jx) = a.ridx(ja); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7707 r.data(jx) = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7708 jx++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7709 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7710 ja++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7711 ja_lt_max= ja < ja_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7712 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7713 else if (( !ja_lt_max ) || |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7714 (jb_lt_max && (b.ridx(jb) < a.ridx(ja)) ) ) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7715 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7716 Complex tmp = xmin (0., b.data(jb)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7717 if (tmp != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7718 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7719 r.ridx(jx) = b.ridx(jb); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7720 r.data(jx) = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7721 jx++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7722 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7723 jb++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7724 jb_lt_max= jb < jb_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7725 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7726 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7727 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7728 Complex tmp = xmin (a.data(ja), b.data(jb)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7729 if (tmp != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7730 { |
| 5164 | 7731 r.data(jx) = tmp; |
| 7732 r.ridx(jx) = a.ridx(ja); | |
| 7733 jx++; | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7734 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7735 ja++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7736 ja_lt_max= ja < ja_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7737 jb++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7738 jb_lt_max= jb < jb_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7739 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7740 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7741 r.cidx(i+1) = jx; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7742 } |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7743 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7744 r.maybe_compress (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7745 } |
| 5164 | 7746 } |
| 7747 else | |
| 7748 (*current_liboctave_error_handler) ("matrix size mismatch"); | |
| 7749 | |
| 7750 return r; | |
| 7751 } | |
| 7752 | |
| 7753 SparseComplexMatrix | |
| 7754 max (const Complex& c, const SparseComplexMatrix& m) | |
| 7755 { | |
| 7756 SparseComplexMatrix result; | |
| 7757 | |
| 5275 | 7758 octave_idx_type nr = m.rows (); |
| 7759 octave_idx_type nc = m.columns (); | |
| 5164 | 7760 |
| 7761 EMPTY_RETURN_CHECK (SparseComplexMatrix); | |
| 7762 | |
| 7763 // Count the number of non-zero elements | |
| 7764 if (xmax(c, 0.) != 0.) | |
| 7765 { | |
| 7766 result = SparseComplexMatrix (nr, nc, c); | |
| 5275 | 7767 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
|
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 result.xdata(m.ridx(i) + j * nr) = xmax (c, m.data(i)); |
| 5164 | 7770 } |
| 7771 else | |
| 7772 result = SparseComplexMatrix (m); | |
| 7773 | |
| 7774 return result; | |
| 7775 } | |
| 7776 | |
| 7777 SparseComplexMatrix | |
| 7778 max (const SparseComplexMatrix& m, const Complex& c) | |
| 7779 { | |
| 7780 return max (c, m); | |
| 7781 } | |
| 7782 | |
| 7783 SparseComplexMatrix | |
| 7784 max (const SparseComplexMatrix& a, const SparseComplexMatrix& b) | |
| 7785 { | |
| 7786 SparseComplexMatrix r; | |
| 7787 | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7788 if ((a.rows() == b.rows()) && (a.cols() == b.cols())) |
| 5164 | 7789 { |
| 5275 | 7790 octave_idx_type a_nr = a.rows (); |
| 7791 octave_idx_type a_nc = a.cols (); | |
| 7792 | |
| 7793 octave_idx_type b_nr = b.rows (); | |
| 7794 octave_idx_type b_nc = b.cols (); | |
| 5164 | 7795 |
| 7796 if (a_nr == 0 || b_nc == 0) | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7797 return SparseComplexMatrix (a_nr, a_nc); |
| 5681 | 7798 if (a.nnz () == 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7799 return SparseComplexMatrix (b); |
| 5681 | 7800 if (b.nnz () == 0) |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7801 return SparseComplexMatrix (a); |
| 5164 | 7802 |
| 7803 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
|
7804 gripe_nonconformant ("min", a_nr, a_nc, b_nr, b_nc); |
| 5164 | 7805 else |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7806 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7807 r = SparseComplexMatrix (a_nr, a_nc, (a.nnz () + b.nnz ())); |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7808 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7809 octave_idx_type jx = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7810 r.cidx (0) = 0; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7811 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
|
7812 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7813 octave_idx_type ja = a.cidx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7814 octave_idx_type ja_max = a.cidx(i+1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7815 bool ja_lt_max= ja < ja_max; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7816 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7817 octave_idx_type jb = b.cidx(i); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7818 octave_idx_type jb_max = b.cidx(i+1); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7819 bool jb_lt_max = jb < jb_max; |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7820 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7821 while (ja_lt_max || jb_lt_max ) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7822 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7823 octave_quit (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7824 if ((! jb_lt_max) || |
| 5164 | 7825 (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
|
7826 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7827 Complex tmp = xmax (a.data(ja), 0.); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7828 if (tmp != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7829 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7830 r.ridx(jx) = a.ridx(ja); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7831 r.data(jx) = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7832 jx++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7833 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7834 ja++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7835 ja_lt_max= ja < ja_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7836 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7837 else if (( !ja_lt_max ) || |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7838 (jb_lt_max && (b.ridx(jb) < a.ridx(ja)) ) ) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7839 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7840 Complex tmp = xmax (0., b.data(jb)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7841 if (tmp != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7842 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7843 r.ridx(jx) = b.ridx(jb); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7844 r.data(jx) = tmp; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7845 jx++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7846 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7847 jb++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7848 jb_lt_max= jb < jb_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7849 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7850 else |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7851 { |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7852 Complex tmp = xmax (a.data(ja), b.data(jb)); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7853 if (tmp != 0.) |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7854 { |
| 5164 | 7855 r.data(jx) = tmp; |
| 7856 r.ridx(jx) = a.ridx(ja); | |
| 7857 jx++; | |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7858 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7859 ja++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7860 ja_lt_max= ja < ja_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7861 jb++; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7862 jb_lt_max= jb < jb_max; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7863 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7864 } |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7865 r.cidx(i+1) = jx; |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7866 } |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7867 |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7868 r.maybe_compress (); |
|
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7869 } |
| 5164 | 7870 } |
| 7871 else | |
| 7872 (*current_liboctave_error_handler) ("matrix size mismatch"); | |
| 7873 | |
| 7874 return r; | |
| 7875 } | |
| 7876 | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7877 SPARSE_SMS_CMP_OPS (SparseComplexMatrix, 0.0, real, Complex, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7878 0.0, real) |
| 5164 | 7879 SPARSE_SMS_BOOL_OPS (SparseComplexMatrix, Complex, 0.0) |
| 7880 | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7881 SPARSE_SSM_CMP_OPS (Complex, 0.0, real, SparseComplexMatrix, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7882 0.0, real) |
| 5164 | 7883 SPARSE_SSM_BOOL_OPS (Complex, SparseComplexMatrix, 0.0) |
| 7884 | |
|
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11574
diff
changeset
|
7885 SPARSE_SMSM_CMP_OPS (SparseComplexMatrix, 0.0, real, SparseComplexMatrix, |
|
10314
07ebe522dac2
untabify liboctave C++ sources
John W. Eaton <jwe@octave.org>
parents:
10158
diff
changeset
|
7886 0.0, real) |
| 5164 | 7887 SPARSE_SMSM_BOOL_OPS (SparseComplexMatrix, SparseComplexMatrix, 0.0) |