Mercurial > octave
annotate libinterp/corefcn/sparse-xdiv.cc @ 22327:d0562b3159c7
move more classes inside octave namespace
* ov-complex.cc, quit.h, lo-array-errwarn.h, lo-array-errwarn.cc,
lo-array-gripes.cc: Move classes inside octave namespace.
* NEWS, file-editor-tab.cc, Cell.cc, __qp__.cc, cellfun.cc, daspk.cc,
dasrt.cc, dassl.cc, data.cc, error.cc, error.h, errwarn.cc, errwarn.h,
file-io.cc, gcd.cc, graphics.cc, graphics.in.h, gripes.cc, gripes.h,
input.cc, interpreter.cc, interpreter.h, inv.cc, jit-typeinfo.cc,
load-path.cc, ls-mat-ascii.cc, ls-mat5.cc, lsode.cc, mex.cc,
oct-handle.h, oct-map.cc, oct-stream.cc, quad.cc, rand.cc,
sparse-xdiv.cc, sparse-xpow.cc, sparse.cc, sub2ind.cc, toplev.cc,
utils.cc, variables.cc, xdiv.cc, xpow.cc, __eigs__.cc,
__init_gnuplot__.cc, ov-base-diag.cc, ov-base-mat.cc,
ov-base-scalar.cc, ov-base-sparse.cc, ov-base.cc, ov-class.cc,
ov-classdef.cc, ov-complex.h, ov-complex.cc, ov-cx-mat.cc,
ov-cx-sparse.cc, ov-fcn-handle.cc, ov-float.cc, ov-float.h,
ov-flt-complex.h, ov-flt-cx-mat.cc, ov-flt-re-mat.cc, ov-java.cc,
ov-oncleanup.cc, ov-perm.cc, ov-range.cc, ov-re-diag.cc, ov-re-mat.cc,
ov-re-sparse.cc, ov-scalar.cc, ov-scalar.h, ov-str-mat.cc, ov.cc,
op-cs-cs.cc, op-fcs-fcs.cc, op-fs-fs.cc, op-int.h, op-s-s.cc, ops.h,
oct-parse.in.yy, pt-assign.cc, pt-eval.cc, pt-idx.cc, pt.cc,
Array-util.cc, Array.cc, CColVector.cc, CDiagMatrix.cc, CMatrix.cc,
CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MDiagArray2.cc,
MSparse.cc, PermMatrix.cc, Range.cc, Sparse.cc, dColVector.cc,
dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc,
fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc,
fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc,
fNDArray.cc, fRowVector.cc, idx-vector.cc, quit.cc, quit.h,
gepbalance.cc, Sparse-diag-op-defs.h, Sparse-op-defs.h,
Sparse-perm-op-defs.h, mx-inlines.cc, mx-op-defs.h, cmd-edit.cc,
lo-array-errwarn.cc, lo-array-errwarn.h, lo-array-gripes.cc,
lo-array-gripes.h, oct-binmap.h: Update to use namespace.
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Wed, 17 Aug 2016 03:41:42 -0400 |
| parents | bac0d6f07a3e |
| children | 34ce5be04942 |
| rev | line source |
|---|---|
| 5164 | 1 /* |
| 2 | |
|
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3 Copyright (C) 2004-2016 David Bateman |
| 11523 | 4 Copyright (C) 1998-2004 Andy Adler |
| 7016 | 5 |
| 6 This file is part of Octave. | |
| 5164 | 7 |
| 8 Octave is free software; you can redistribute it and/or modify it | |
| 9 under the terms of the GNU General Public License as published by the | |
| 7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
| 11 option) any later version. | |
| 5164 | 12 |
| 13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 16 for more details. | |
| 17 | |
| 18 You should have received a copy of the GNU General Public License | |
| 7016 | 19 along with Octave; see the file COPYING. If not, see |
| 20 <http://www.gnu.org/licenses/>. | |
| 5164 | 21 |
| 22 */ | |
| 23 | |
|
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24 #if defined (HAVE_CONFIG_H) |
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25 # include "config.h" |
| 5164 | 26 #endif |
| 27 | |
| 28 #include <cassert> | |
| 29 | |
| 30 #include "Array-util.h" | |
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31 #include "lo-array-errwarn.h" |
| 5164 | 32 #include "oct-cmplx.h" |
| 33 #include "quit.h" | |
| 34 #include "error.h" | |
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35 #include "lo-ieee.h" |
| 5164 | 36 |
| 37 #include "dSparse.h" | |
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38 #include "dDiagMatrix.h" |
| 5164 | 39 #include "CSparse.h" |
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40 #include "CDiagMatrix.h" |
| 5164 | 41 #include "oct-spparms.h" |
| 42 #include "sparse-xdiv.h" | |
| 43 | |
| 44 static void | |
| 45 solve_singularity_warning (double rcond) | |
| 46 { | |
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47 octave::warn_singular_matrix (rcond); |
| 5164 | 48 } |
| 49 | |
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50 template <typename T1, typename T2> |
| 5164 | 51 bool |
| 52 mx_leftdiv_conform (const T1& a, const T2& b) | |
| 53 { | |
| 5275 | 54 octave_idx_type a_nr = a.rows (); |
| 55 octave_idx_type b_nr = b.rows (); | |
| 5164 | 56 |
| 57 if (a_nr != b_nr) | |
| 58 { | |
| 5275 | 59 octave_idx_type a_nc = a.cols (); |
| 60 octave_idx_type b_nc = b.cols (); | |
| 5164 | 61 |
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62 octave::err_nonconformant ("operator \\", a_nr, a_nc, b_nr, b_nc); |
| 5164 | 63 } |
| 64 | |
| 65 return true; | |
| 66 } | |
| 67 | |
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68 #define INSTANTIATE_MX_LEFTDIV_CONFORM(T1, T2) \ |
| 5164 | 69 template bool mx_leftdiv_conform (const T1&, const T2&) |
| 70 | |
| 71 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseMatrix, SparseMatrix); | |
| 72 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseMatrix, SparseComplexMatrix); | |
| 73 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseComplexMatrix, SparseMatrix); | |
| 74 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseComplexMatrix, SparseComplexMatrix); | |
| 75 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseMatrix, Matrix); | |
| 76 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseMatrix, ComplexMatrix); | |
| 77 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseComplexMatrix, Matrix); | |
| 78 INSTANTIATE_MX_LEFTDIV_CONFORM (SparseComplexMatrix, ComplexMatrix); | |
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79 INSTANTIATE_MX_LEFTDIV_CONFORM (DiagMatrix, SparseMatrix); |
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80 INSTANTIATE_MX_LEFTDIV_CONFORM (DiagMatrix, SparseComplexMatrix); |
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81 INSTANTIATE_MX_LEFTDIV_CONFORM (ComplexDiagMatrix, SparseMatrix); |
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82 INSTANTIATE_MX_LEFTDIV_CONFORM (ComplexDiagMatrix, SparseComplexMatrix); |
| 5164 | 83 |
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84 template <typename T1, typename T2> |
| 5164 | 85 bool |
| 86 mx_div_conform (const T1& a, const T2& b) | |
| 87 { | |
| 5275 | 88 octave_idx_type a_nc = a.cols (); |
| 89 octave_idx_type b_nc = b.cols (); | |
| 5164 | 90 |
| 91 if (a_nc != b_nc) | |
| 92 { | |
| 5275 | 93 octave_idx_type a_nr = a.rows (); |
| 94 octave_idx_type b_nr = b.rows (); | |
| 5164 | 95 |
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96 octave::err_nonconformant ("operator /", a_nr, a_nc, b_nr, b_nc); |
| 5164 | 97 } |
| 98 | |
| 99 return true; | |
| 100 } | |
| 101 | |
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102 #define INSTANTIATE_MX_DIV_CONFORM(T1, T2) \ |
| 5164 | 103 template bool mx_div_conform (const T1&, const T2&) |
| 104 | |
| 105 INSTANTIATE_MX_DIV_CONFORM (SparseMatrix, SparseMatrix); | |
| 106 INSTANTIATE_MX_DIV_CONFORM (SparseMatrix, SparseComplexMatrix); | |
| 107 INSTANTIATE_MX_DIV_CONFORM (SparseComplexMatrix, SparseMatrix); | |
| 108 INSTANTIATE_MX_DIV_CONFORM (SparseComplexMatrix, SparseComplexMatrix); | |
| 109 INSTANTIATE_MX_DIV_CONFORM (Matrix, SparseMatrix); | |
| 110 INSTANTIATE_MX_DIV_CONFORM (Matrix, SparseComplexMatrix); | |
| 111 INSTANTIATE_MX_DIV_CONFORM (ComplexMatrix, SparseMatrix); | |
| 112 INSTANTIATE_MX_DIV_CONFORM (ComplexMatrix, SparseComplexMatrix); | |
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113 INSTANTIATE_MX_DIV_CONFORM (SparseMatrix, DiagMatrix); |
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114 INSTANTIATE_MX_DIV_CONFORM (SparseMatrix, ComplexDiagMatrix); |
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115 INSTANTIATE_MX_DIV_CONFORM (SparseComplexMatrix, DiagMatrix); |
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116 INSTANTIATE_MX_DIV_CONFORM (SparseComplexMatrix, ComplexDiagMatrix); |
| 5164 | 117 |
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118 // Right division functions. X / Y = X * inv (Y) = (inv (Y') * X')' |
| 5164 | 119 // |
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120 // Y / X: m cm sm scm |
| 5164 | 121 // +-- +---+----+----+----+ |
| 122 // sparse matrix | 1 | 3 | 5 | 7 | | |
| 123 // +---+----+----+----+ | |
| 124 // sparse complex_matrix | 2 | 4 | 6 | 8 | | |
| 125 // +---+----+----+----+ | |
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126 // diagonal matrix | 9 | 11 | |
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127 // +----+----+ |
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128 // complex diag. matrix | 10 | 12 | |
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129 // +----+----+ |
| 5164 | 130 |
| 131 // -*- 1 -*- | |
| 132 Matrix | |
| 5785 | 133 xdiv (const Matrix& a, const SparseMatrix& b, MatrixType &typ) |
| 5164 | 134 { |
| 135 if (! mx_div_conform (a, b)) | |
| 136 return Matrix (); | |
| 137 | |
| 138 Matrix atmp = a.transpose (); | |
| 139 SparseMatrix btmp = b.transpose (); | |
| 5785 | 140 MatrixType btyp = typ.transpose (); |
| 5164 | 141 |
| 5275 | 142 octave_idx_type info; |
| 5681 | 143 double rcond = 0.0; |
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144 Matrix result = btmp.solve (btyp, atmp, info, rcond, |
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145 solve_singularity_warning); |
| 5164 | 146 |
| 5322 | 147 typ = btyp.transpose (); |
| 5164 | 148 return result.transpose (); |
| 149 } | |
| 150 | |
| 151 // -*- 2 -*- | |
| 152 ComplexMatrix | |
| 5785 | 153 xdiv (const Matrix& a, const SparseComplexMatrix& b, MatrixType &typ) |
| 5164 | 154 { |
| 155 if (! mx_div_conform (a, b)) | |
| 156 return ComplexMatrix (); | |
| 157 | |
| 158 Matrix atmp = a.transpose (); | |
| 159 SparseComplexMatrix btmp = b.hermitian (); | |
| 5785 | 160 MatrixType btyp = typ.transpose (); |
| 5164 | 161 |
| 5275 | 162 octave_idx_type info; |
| 5681 | 163 double rcond = 0.0; |
| 164 ComplexMatrix result | |
| 165 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning); | |
| 5164 | 166 |
| 5322 | 167 typ = btyp.transpose (); |
| 5164 | 168 return result.hermitian (); |
| 169 } | |
| 170 | |
| 171 // -*- 3 -*- | |
| 172 ComplexMatrix | |
| 5785 | 173 xdiv (const ComplexMatrix& a, const SparseMatrix& b, MatrixType &typ) |
| 5164 | 174 { |
| 175 if (! mx_div_conform (a, b)) | |
| 176 return ComplexMatrix (); | |
| 177 | |
| 178 ComplexMatrix atmp = a.hermitian (); | |
| 179 SparseMatrix btmp = b.transpose (); | |
| 5785 | 180 MatrixType btyp = typ.transpose (); |
| 5164 | 181 |
| 5275 | 182 octave_idx_type info; |
| 5681 | 183 double rcond = 0.0; |
| 184 ComplexMatrix result | |
| 185 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning); | |
| 5164 | 186 |
| 5322 | 187 typ = btyp.transpose (); |
| 5164 | 188 return result.hermitian (); |
| 189 } | |
| 190 | |
| 191 // -*- 4 -*- | |
| 192 ComplexMatrix | |
| 5785 | 193 xdiv (const ComplexMatrix& a, const SparseComplexMatrix& b, MatrixType &typ) |
| 5164 | 194 { |
| 195 if (! mx_div_conform (a, b)) | |
| 196 return ComplexMatrix (); | |
| 197 | |
| 198 ComplexMatrix atmp = a.hermitian (); | |
| 199 SparseComplexMatrix btmp = b.hermitian (); | |
| 5785 | 200 MatrixType btyp = typ.transpose (); |
| 5164 | 201 |
| 5275 | 202 octave_idx_type info; |
| 5681 | 203 double rcond = 0.0; |
| 204 ComplexMatrix result | |
| 205 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning); | |
| 5164 | 206 |
| 5322 | 207 typ = btyp.transpose (); |
| 5164 | 208 return result.hermitian (); |
| 209 } | |
| 210 | |
| 211 // -*- 5 -*- | |
| 212 SparseMatrix | |
| 5785 | 213 xdiv (const SparseMatrix& a, const SparseMatrix& b, MatrixType &typ) |
| 5164 | 214 { |
| 215 if (! mx_div_conform (a, b)) | |
| 216 return SparseMatrix (); | |
| 217 | |
| 218 SparseMatrix atmp = a.transpose (); | |
| 219 SparseMatrix btmp = b.transpose (); | |
| 5785 | 220 MatrixType btyp = typ.transpose (); |
| 5164 | 221 |
| 5275 | 222 octave_idx_type info; |
| 5681 | 223 double rcond = 0.0; |
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224 SparseMatrix result = btmp.solve (btyp, atmp, info, rcond, |
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225 solve_singularity_warning); |
| 5164 | 226 |
| 5322 | 227 typ = btyp.transpose (); |
| 5164 | 228 return result.transpose (); |
| 229 } | |
| 230 | |
| 231 // -*- 6 -*- | |
| 232 SparseComplexMatrix | |
| 5785 | 233 xdiv (const SparseMatrix& a, const SparseComplexMatrix& b, MatrixType &typ) |
| 5164 | 234 { |
| 235 if (! mx_div_conform (a, b)) | |
| 236 return SparseComplexMatrix (); | |
| 237 | |
| 238 SparseMatrix atmp = a.transpose (); | |
| 239 SparseComplexMatrix btmp = b.hermitian (); | |
| 5785 | 240 MatrixType btyp = typ.transpose (); |
| 5164 | 241 |
| 5275 | 242 octave_idx_type info; |
| 5681 | 243 double rcond = 0.0; |
| 244 SparseComplexMatrix result | |
| 245 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning); | |
| 5164 | 246 |
| 5322 | 247 typ = btyp.transpose (); |
| 5164 | 248 return result.hermitian (); |
| 249 } | |
| 250 | |
| 251 // -*- 7 -*- | |
| 252 SparseComplexMatrix | |
| 5785 | 253 xdiv (const SparseComplexMatrix& a, const SparseMatrix& b, MatrixType &typ) |
| 5164 | 254 { |
| 255 if (! mx_div_conform (a, b)) | |
| 256 return SparseComplexMatrix (); | |
| 257 | |
| 258 SparseComplexMatrix atmp = a.hermitian (); | |
| 259 SparseMatrix btmp = b.transpose (); | |
| 5785 | 260 MatrixType btyp = typ.transpose (); |
| 5164 | 261 |
| 5275 | 262 octave_idx_type info; |
| 5681 | 263 double rcond = 0.0; |
| 264 SparseComplexMatrix result | |
| 265 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning); | |
| 5164 | 266 |
| 5322 | 267 typ = btyp.transpose (); |
| 5164 | 268 return result.hermitian (); |
| 269 } | |
| 270 | |
| 271 // -*- 8 -*- | |
| 272 SparseComplexMatrix | |
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273 xdiv (const SparseComplexMatrix& a, const SparseComplexMatrix& b, |
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274 MatrixType &typ) |
| 5164 | 275 { |
| 276 if (! mx_div_conform (a, b)) | |
| 277 return SparseComplexMatrix (); | |
| 278 | |
| 279 SparseComplexMatrix atmp = a.hermitian (); | |
| 280 SparseComplexMatrix btmp = b.hermitian (); | |
| 5785 | 281 MatrixType btyp = typ.transpose (); |
| 5164 | 282 |
| 5275 | 283 octave_idx_type info; |
| 5681 | 284 double rcond = 0.0; |
| 285 SparseComplexMatrix result | |
| 286 = btmp.solve (btyp, atmp, info, rcond, solve_singularity_warning); | |
| 5164 | 287 |
| 5322 | 288 typ = btyp.transpose (); |
| 5164 | 289 return result.hermitian (); |
| 290 } | |
| 291 | |
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292 template <typename RT, typename SM, typename DM> |
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293 RT do_rightdiv_sm_dm (const SM& a, const DM& d) |
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294 { |
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295 const octave_idx_type d_nr = d.rows (); |
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296 |
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297 const octave_idx_type a_nr = a.rows (); |
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298 const octave_idx_type a_nc = a.cols (); |
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299 |
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300 using std::min; |
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301 const octave_idx_type nc = min (d_nr, a_nc); |
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302 |
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303 if (! mx_div_conform (a, d)) |
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304 return RT (); |
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305 |
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306 const octave_idx_type nz = a.nnz (); |
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307 RT r (a_nr, nc, nz); |
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308 |
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309 typedef typename DM::element_type DM_elt_type; |
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310 const DM_elt_type zero = DM_elt_type (); |
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311 |
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312 octave_idx_type k_result = 0; |
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313 for (octave_idx_type j = 0; j < nc; ++j) |
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314 { |
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315 octave_quit (); |
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316 const DM_elt_type s = d.dgelem (j); |
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317 const octave_idx_type colend = a.cidx (j+1); |
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318 r.xcidx (j) = k_result; |
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319 if (s != zero) |
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320 for (octave_idx_type k = a.cidx (j); k < colend; ++k) |
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321 { |
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322 r.xdata (k_result) = a.data (k) / s; |
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323 r.xridx (k_result) = a.ridx (k); |
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324 ++k_result; |
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325 } |
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326 } |
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327 r.xcidx (nc) = k_result; |
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328 |
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329 r.maybe_compress (true); |
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330 return r; |
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331 } |
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332 |
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333 // -*- 9 -*- |
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334 SparseMatrix |
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335 xdiv (const SparseMatrix& a, const DiagMatrix& b, MatrixType &) |
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336 { |
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337 return do_rightdiv_sm_dm<SparseMatrix> (a, b); |
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338 } |
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339 |
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340 // -*- 10 -*- |
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341 SparseComplexMatrix |
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342 xdiv (const SparseMatrix& a, const ComplexDiagMatrix& b, MatrixType &) |
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343 { |
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344 return do_rightdiv_sm_dm<SparseComplexMatrix> (a, b); |
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345 } |
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346 |
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347 // -*- 11 -*- |
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348 SparseComplexMatrix |
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349 xdiv (const SparseComplexMatrix& a, const DiagMatrix& b, MatrixType &) |
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350 { |
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351 return do_rightdiv_sm_dm<SparseComplexMatrix> (a, b); |
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352 } |
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353 |
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354 // -*- 12 -*- |
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355 SparseComplexMatrix |
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356 xdiv (const SparseComplexMatrix& a, const ComplexDiagMatrix& b, MatrixType &) |
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357 { |
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358 return do_rightdiv_sm_dm<SparseComplexMatrix> (a, b); |
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359 } |
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360 |
| 5164 | 361 // Funny element by element division operations. |
| 362 // | |
| 363 // op2 \ op1: s cs | |
| 364 // +-- +---+----+ | |
| 365 // matrix | 1 | 3 | | |
| 366 // +---+----+ | |
| 367 // complex_matrix | 2 | 4 | | |
| 368 // +---+----+ | |
| 369 | |
| 370 Matrix | |
| 371 x_el_div (double a, const SparseMatrix& b) | |
| 372 { | |
| 5275 | 373 octave_idx_type nr = b.rows (); |
| 374 octave_idx_type nc = b.cols (); | |
| 5164 | 375 |
| 376 Matrix result; | |
| 377 if (a == 0.) | |
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378 result = Matrix (nr, nc, octave::numeric_limits<double>::NaN ()); |
| 5164 | 379 else if (a > 0.) |
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380 result = Matrix (nr, nc, octave::numeric_limits<double>::Inf ()); |
| 5164 | 381 else |
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382 result = Matrix (nr, nc, -octave::numeric_limits<double>::Inf ()); |
| 5164 | 383 |
| 5275 | 384 for (octave_idx_type j = 0; j < nc; j++) |
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385 for (octave_idx_type i = b.cidx (j); i < b.cidx (j+1); i++) |
| 5164 | 386 { |
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387 octave_quit (); |
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388 result.elem (b.ridx (i), j) = a / b.data (i); |
| 5164 | 389 } |
| 390 | |
| 391 return result; | |
| 392 } | |
| 393 | |
| 394 ComplexMatrix | |
| 395 x_el_div (double a, const SparseComplexMatrix& b) | |
| 396 { | |
| 5275 | 397 octave_idx_type nr = b.rows (); |
| 398 octave_idx_type nc = b.cols (); | |
| 5164 | 399 |
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400 ComplexMatrix result (nr, nc, Complex (octave::numeric_limits<double>::NaN (), octave::numeric_limits<double>::NaN ())); |
| 5164 | 401 |
| 5275 | 402 for (octave_idx_type j = 0; j < nc; j++) |
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403 for (octave_idx_type i = b.cidx (j); i < b.cidx (j+1); i++) |
| 5164 | 404 { |
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405 octave_quit (); |
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406 result.elem (b.ridx (i), j) = a / b.data (i); |
| 5164 | 407 } |
| 408 | |
| 409 return result; | |
| 410 } | |
| 411 | |
| 412 ComplexMatrix | |
| 413 x_el_div (const Complex a, const SparseMatrix& b) | |
| 414 { | |
| 5275 | 415 octave_idx_type nr = b.rows (); |
| 416 octave_idx_type nc = b.cols (); | |
| 5164 | 417 |
| 418 ComplexMatrix result (nr, nc, (a / 0.0)); | |
| 419 | |
| 5275 | 420 for (octave_idx_type j = 0; j < nc; j++) |
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421 for (octave_idx_type i = b.cidx (j); i < b.cidx (j+1); i++) |
| 5164 | 422 { |
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423 octave_quit (); |
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424 result.elem (b.ridx (i), j) = a / b.data (i); |
| 5164 | 425 } |
| 426 | |
| 427 return result; | |
| 428 } | |
| 429 | |
| 430 ComplexMatrix | |
| 431 x_el_div (const Complex a, const SparseComplexMatrix& b) | |
| 432 { | |
| 5275 | 433 octave_idx_type nr = b.rows (); |
| 434 octave_idx_type nc = b.cols (); | |
| 5164 | 435 |
| 436 ComplexMatrix result (nr, nc, (a / 0.0)); | |
| 437 | |
| 5275 | 438 for (octave_idx_type j = 0; j < nc; j++) |
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439 for (octave_idx_type i = b.cidx (j); i < b.cidx (j+1); i++) |
| 5164 | 440 { |
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441 octave_quit (); |
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442 result.elem (b.ridx (i), j) = a / b.data (i); |
| 5164 | 443 } |
| 444 | |
| 445 return result; | |
| 446 } | |
| 447 | |
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448 // Left division functions. X \ Y = inv (X) * Y |
| 5164 | 449 // |
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450 // Y \ X : sm scm dm dcm |
| 5164 | 451 // +-- +---+----+ |
| 452 // matrix | 1 | 5 | | |
| 453 // +---+----+ | |
| 454 // complex_matrix | 2 | 6 | | |
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455 // +---+----+----+----+ |
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456 // sparse matrix | 3 | 7 | 9 | 11 | |
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457 // +---+----+----+----+ |
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458 // sparse complex_matrix | 4 | 8 | 10 | 12 | |
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459 // +---+----+----+----+ |
| 5164 | 460 |
| 461 // -*- 1 -*- | |
| 462 Matrix | |
| 5785 | 463 xleftdiv (const SparseMatrix& a, const Matrix& b, MatrixType &typ) |
| 5164 | 464 { |
| 465 if (! mx_leftdiv_conform (a, b)) | |
| 466 return Matrix (); | |
| 467 | |
| 5275 | 468 octave_idx_type info; |
| 5681 | 469 double rcond = 0.0; |
| 470 return a.solve (typ, b, info, rcond, solve_singularity_warning); | |
| 5164 | 471 } |
| 472 | |
| 473 // -*- 2 -*- | |
| 474 ComplexMatrix | |
| 5785 | 475 xleftdiv (const SparseMatrix& a, const ComplexMatrix& b, MatrixType &typ) |
| 5164 | 476 { |
| 477 if (! mx_leftdiv_conform (a, b)) | |
| 478 return ComplexMatrix (); | |
| 479 | |
| 5275 | 480 octave_idx_type info; |
| 5681 | 481 double rcond = 0.0; |
| 482 return a.solve (typ, b, info, rcond, solve_singularity_warning); | |
| 5164 | 483 } |
| 484 | |
| 485 // -*- 3 -*- | |
| 486 SparseMatrix | |
| 5785 | 487 xleftdiv (const SparseMatrix& a, const SparseMatrix& b, MatrixType &typ) |
| 5164 | 488 { |
| 489 if (! mx_leftdiv_conform (a, b)) | |
| 490 return SparseMatrix (); | |
| 491 | |
| 5275 | 492 octave_idx_type info; |
| 5681 | 493 double rcond = 0.0; |
| 494 return a.solve (typ, b, info, rcond, solve_singularity_warning); | |
| 5164 | 495 } |
| 496 | |
| 497 // -*- 4 -*- | |
| 498 SparseComplexMatrix | |
| 5785 | 499 xleftdiv (const SparseMatrix& a, const SparseComplexMatrix& b, MatrixType &typ) |
| 5164 | 500 { |
| 501 if (! mx_leftdiv_conform (a, b)) | |
| 502 return SparseComplexMatrix (); | |
| 503 | |
| 5275 | 504 octave_idx_type info; |
| 5681 | 505 double rcond = 0.0; |
| 506 return a.solve (typ, b, info, rcond, solve_singularity_warning); | |
| 5164 | 507 } |
| 508 | |
| 509 // -*- 5 -*- | |
| 510 ComplexMatrix | |
| 5785 | 511 xleftdiv (const SparseComplexMatrix& a, const Matrix& b, MatrixType &typ) |
| 5164 | 512 { |
| 513 if (! mx_leftdiv_conform (a, b)) | |
| 514 return ComplexMatrix (); | |
| 515 | |
| 5275 | 516 octave_idx_type info; |
| 5681 | 517 double rcond = 0.0; |
| 518 return a.solve (typ, b, info, rcond, solve_singularity_warning); | |
| 5164 | 519 } |
| 520 | |
| 521 // -*- 6 -*- | |
| 522 ComplexMatrix | |
| 5785 | 523 xleftdiv (const SparseComplexMatrix& a, const ComplexMatrix& b, MatrixType &typ) |
| 5164 | 524 { |
| 525 if (! mx_leftdiv_conform (a, b)) | |
| 526 return ComplexMatrix (); | |
| 527 | |
| 5275 | 528 octave_idx_type info; |
| 5681 | 529 double rcond = 0.0; |
| 530 return a.solve (typ, b, info, rcond, solve_singularity_warning); | |
| 5164 | 531 } |
| 532 | |
| 533 // -*- 7 -*- | |
| 534 SparseComplexMatrix | |
| 5785 | 535 xleftdiv (const SparseComplexMatrix& a, const SparseMatrix& b, MatrixType &typ) |
| 5164 | 536 { |
| 537 if (! mx_leftdiv_conform (a, b)) | |
| 538 return SparseComplexMatrix (); | |
| 539 | |
| 5275 | 540 octave_idx_type info; |
| 5681 | 541 double rcond = 0.0; |
| 542 return a.solve (typ, b, info, rcond, solve_singularity_warning); | |
| 5164 | 543 } |
| 544 | |
| 545 // -*- 8 -*- | |
| 546 SparseComplexMatrix | |
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547 xleftdiv (const SparseComplexMatrix& a, const SparseComplexMatrix& b, |
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548 MatrixType &typ) |
| 5164 | 549 { |
| 550 if (! mx_leftdiv_conform (a, b)) | |
| 551 return SparseComplexMatrix (); | |
| 552 | |
| 5275 | 553 octave_idx_type info; |
| 5681 | 554 double rcond = 0.0; |
| 555 return a.solve (typ, b, info, rcond, solve_singularity_warning); | |
| 5164 | 556 } |
| 557 | |
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558 template <typename RT, typename DM, typename SM> |
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559 RT do_leftdiv_dm_sm (const DM& d, const SM& a) |
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560 { |
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561 const octave_idx_type a_nr = a.rows (); |
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562 const octave_idx_type a_nc = a.cols (); |
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563 |
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564 const octave_idx_type d_nc = d.cols (); |
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565 |
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566 using std::min; |
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567 const octave_idx_type nr = min (d_nc, a_nr); |
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568 |
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569 if (! mx_leftdiv_conform (d, a)) |
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570 return RT (); |
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571 |
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572 const octave_idx_type nz = a.nnz (); |
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573 RT r (nr, a_nc, nz); |
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574 |
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575 typedef typename DM::element_type DM_elt_type; |
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576 const DM_elt_type zero = DM_elt_type (); |
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577 |
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578 octave_idx_type k_result = 0; |
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579 for (octave_idx_type j = 0; j < a_nc; ++j) |
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580 { |
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581 octave_quit (); |
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582 const octave_idx_type colend = a.cidx (j+1); |
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583 r.xcidx (j) = k_result; |
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584 for (octave_idx_type k = a.cidx (j); k < colend; ++k) |
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585 { |
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586 const octave_idx_type i = a.ridx (k); |
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587 if (i < nr) |
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588 { |
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589 const DM_elt_type s = d.dgelem (i); |
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590 if (s != zero) |
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591 { |
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592 r.xdata (k_result) = a.data (k) / s; |
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593 r.xridx (k_result) = i; |
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594 ++k_result; |
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595 } |
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596 } |
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597 } |
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598 } |
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599 r.xcidx (a_nc) = k_result; |
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600 |
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601 r.maybe_compress (true); |
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602 return r; |
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603 } |
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604 |
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605 // -*- 9 -*- |
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606 SparseMatrix |
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607 xleftdiv (const DiagMatrix& d, const SparseMatrix& a, MatrixType&) |
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608 { |
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609 return do_leftdiv_dm_sm<SparseMatrix> (d, a); |
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610 } |
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611 |
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612 // -*- 10 -*- |
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613 SparseComplexMatrix |
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614 xleftdiv (const DiagMatrix& d, const SparseComplexMatrix& a, MatrixType&) |
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615 { |
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616 return do_leftdiv_dm_sm<SparseComplexMatrix> (d, a); |
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617 } |
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618 |
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619 // -*- 11 -*- |
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620 SparseComplexMatrix |
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621 xleftdiv (const ComplexDiagMatrix& d, const SparseMatrix& a, MatrixType&) |
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622 { |
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623 return do_leftdiv_dm_sm<SparseComplexMatrix> (d, a); |
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624 } |
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625 |
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626 // -*- 12 -*- |
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627 SparseComplexMatrix |
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628 xleftdiv (const ComplexDiagMatrix& d, const SparseComplexMatrix& a, |
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629 MatrixType&) |
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630 { |
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631 return do_leftdiv_dm_sm<SparseComplexMatrix> (d, a); |
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632 } |