Mercurial > octave-nkf
comparison liboctave/EIG.cc @ 4725:fa612b2cbfe9
[project @ 2004-01-23 16:42:51 by jwe]
author | jwe |
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date | Fri, 23 Jan 2004 16:42:51 +0000 |
parents | 6f3382e08a52 |
children | c322edde72ac |
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4724:bdacd0383fbd | 4725:fa612b2cbfe9 |
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69 F77_CHAR_ARG_LEN_DECL | 69 F77_CHAR_ARG_LEN_DECL |
70 F77_CHAR_ARG_LEN_DECL); | 70 F77_CHAR_ARG_LEN_DECL); |
71 } | 71 } |
72 | 72 |
73 int | 73 int |
74 EIG::init (const Matrix& a) | 74 EIG::init (const Matrix& a, bool calc_ev) |
75 { | 75 { |
76 if (a.is_symmetric ()) | 76 if (a.is_symmetric ()) |
77 return symmetric_init (a); | 77 return symmetric_init (a, calc_ev); |
78 | 78 |
79 int n = a.rows (); | 79 int n = a.rows (); |
80 | 80 |
81 if (n != a.cols ()) | 81 if (n != a.cols ()) |
82 { | 82 { |
93 double *pwr = wr.fortran_vec (); | 93 double *pwr = wr.fortran_vec (); |
94 | 94 |
95 Array<double> wi (n); | 95 Array<double> wi (n); |
96 double *pwi = wi.fortran_vec (); | 96 double *pwi = wi.fortran_vec (); |
97 | 97 |
98 Matrix vr (n, n); | 98 int nvr = calc_ev ? n : 0; |
99 Matrix vr (nvr, nvr); | |
99 double *pvr = vr.fortran_vec (); | 100 double *pvr = vr.fortran_vec (); |
100 | 101 |
101 // XXX FIXME XXX -- it might be possible to choose a better value of | 102 // XXX FIXME XXX -- it might be possible to choose a better value of |
102 // lwork that would result in more efficient computations. | 103 // lwork that would result in more efficient computations. |
103 | 104 |
107 | 108 |
108 double *dummy = 0; | 109 double *dummy = 0; |
109 int idummy = 1; | 110 int idummy = 1; |
110 | 111 |
111 F77_XFCN (dgeev, DGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), | 112 F77_XFCN (dgeev, DGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), |
112 F77_CONST_CHAR_ARG2 ("V", 1), | 113 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
113 n, tmp_data, n, pwr, pwi, dummy, | 114 n, tmp_data, n, pwr, pwi, dummy, |
114 idummy, pvr, n, pwork, lwork, info | 115 idummy, pvr, n, pwork, lwork, info |
115 F77_CHAR_ARG_LEN (1) | 116 F77_CHAR_ARG_LEN (1) |
116 F77_CHAR_ARG_LEN (1))); | 117 F77_CHAR_ARG_LEN (1))); |
117 | 118 |
122 if (info > 0) | 123 if (info > 0) |
123 (*current_liboctave_error_handler) ("dgeev failed to converge"); | 124 (*current_liboctave_error_handler) ("dgeev failed to converge"); |
124 else | 125 else |
125 { | 126 { |
126 lambda.resize (n); | 127 lambda.resize (n); |
127 v.resize (n, n); | 128 v.resize (nvr, nvr); |
128 | 129 |
129 for (int j = 0; j < n; j++) | 130 for (int j = 0; j < n; j++) |
130 { | 131 { |
131 if (wi.elem (j) == 0.0) | 132 if (wi.elem (j) == 0.0) |
132 { | 133 { |
133 lambda.elem (j) = Complex (wr.elem (j)); | 134 lambda.elem (j) = Complex (wr.elem (j)); |
134 for (int i = 0; i < n; i++) | 135 for (int i = 0; i < nvr; i++) |
135 v.elem (i, j) = vr.elem (i, j); | 136 v.elem (i, j) = vr.elem (i, j); |
136 } | 137 } |
137 else | 138 else |
138 { | 139 { |
139 if (j+1 >= n) | 140 if (j+1 >= n) |
144 } | 145 } |
145 | 146 |
146 lambda.elem(j) = Complex (wr.elem(j), wi.elem(j)); | 147 lambda.elem(j) = Complex (wr.elem(j), wi.elem(j)); |
147 lambda.elem(j+1) = Complex (wr.elem(j+1), wi.elem(j+1)); | 148 lambda.elem(j+1) = Complex (wr.elem(j+1), wi.elem(j+1)); |
148 | 149 |
149 for (int i = 0; i < n; i++) | 150 for (int i = 0; i < nvr; i++) |
150 { | 151 { |
151 double real_part = vr.elem (i, j); | 152 double real_part = vr.elem (i, j); |
152 double imag_part = vr.elem (i, j+1); | 153 double imag_part = vr.elem (i, j+1); |
153 v.elem (i, j) = Complex (real_part, imag_part); | 154 v.elem (i, j) = Complex (real_part, imag_part); |
154 v.elem (i, j+1) = Complex (real_part, -imag_part); | 155 v.elem (i, j+1) = Complex (real_part, -imag_part); |
161 | 162 |
162 return info; | 163 return info; |
163 } | 164 } |
164 | 165 |
165 int | 166 int |
166 EIG::symmetric_init (const Matrix& a) | 167 EIG::symmetric_init (const Matrix& a, bool calc_ev) |
167 { | 168 { |
168 int n = a.rows (); | 169 int n = a.rows (); |
169 | 170 |
170 if (n != a.cols ()) | 171 if (n != a.cols ()) |
171 { | 172 { |
186 | 187 |
187 int lwork = 8*n; | 188 int lwork = 8*n; |
188 Array<double> work (lwork); | 189 Array<double> work (lwork); |
189 double *pwork = work.fortran_vec (); | 190 double *pwork = work.fortran_vec (); |
190 | 191 |
191 F77_XFCN (dsyev, DSYEV, (F77_CONST_CHAR_ARG2 ("V", 1), | 192 F77_XFCN (dsyev, DSYEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
192 F77_CONST_CHAR_ARG2 ("U", 1), | 193 F77_CONST_CHAR_ARG2 ("U", 1), |
193 n, tmp_data, n, pwr, pwork, lwork, info | 194 n, tmp_data, n, pwr, pwork, lwork, info |
194 F77_CHAR_ARG_LEN (1) | 195 F77_CHAR_ARG_LEN (1) |
195 F77_CHAR_ARG_LEN (1))); | 196 F77_CHAR_ARG_LEN (1))); |
196 | 197 |
199 else if (info > 0) | 200 else if (info > 0) |
200 (*current_liboctave_error_handler) ("dsyev failed to converge"); | 201 (*current_liboctave_error_handler) ("dsyev failed to converge"); |
201 else | 202 else |
202 { | 203 { |
203 lambda = ComplexColumnVector (wr); | 204 lambda = ComplexColumnVector (wr); |
204 v = ComplexMatrix (atmp); | 205 v = calc_ev ? ComplexMatrix (atmp) : ComplexMatrix (); |
205 } | 206 } |
206 | 207 |
207 return info; | 208 return info; |
208 } | 209 } |
209 | 210 |
210 int | 211 int |
211 EIG::init (const ComplexMatrix& a) | 212 EIG::init (const ComplexMatrix& a, bool calc_ev) |
212 { | 213 { |
213 if (a.is_hermitian ()) | 214 if (a.is_hermitian ()) |
214 return hermitian_init (a); | 215 return hermitian_init (a, calc_ev); |
215 | 216 |
216 int n = a.rows (); | 217 int n = a.rows (); |
217 | 218 |
218 if (n != a.cols ()) | 219 if (n != a.cols ()) |
219 { | 220 { |
227 Complex *tmp_data = atmp.fortran_vec (); | 228 Complex *tmp_data = atmp.fortran_vec (); |
228 | 229 |
229 ComplexColumnVector w (n); | 230 ComplexColumnVector w (n); |
230 Complex *pw = w.fortran_vec (); | 231 Complex *pw = w.fortran_vec (); |
231 | 232 |
232 ComplexMatrix vtmp (n, n); | 233 int nvr = calc_ev ? n : 0; |
234 ComplexMatrix vtmp (nvr, nvr); | |
233 Complex *pv = vtmp.fortran_vec (); | 235 Complex *pv = vtmp.fortran_vec (); |
234 | 236 |
235 // XXX FIXME XXX -- it might be possible to choose a better value of | 237 // XXX FIXME XXX -- it might be possible to choose a better value of |
236 // lwork that would result in more efficient computations. | 238 // lwork that would result in more efficient computations. |
237 | 239 |
245 | 247 |
246 Complex *dummy = 0; | 248 Complex *dummy = 0; |
247 int idummy = 1; | 249 int idummy = 1; |
248 | 250 |
249 F77_XFCN (zgeev, ZGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), | 251 F77_XFCN (zgeev, ZGEEV, (F77_CONST_CHAR_ARG2 ("N", 1), |
250 F77_CONST_CHAR_ARG2 ("V", 1), | 252 F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
251 n, tmp_data, n, pw, dummy, idummy, | 253 n, tmp_data, n, pw, dummy, idummy, |
252 pv, n, pwork, lwork, prwork, info | 254 pv, n, pwork, lwork, prwork, info |
253 F77_CHAR_ARG_LEN (1) | 255 F77_CHAR_ARG_LEN (1) |
254 F77_CHAR_ARG_LEN (1))); | 256 F77_CHAR_ARG_LEN (1))); |
255 | 257 |
265 | 267 |
266 return info; | 268 return info; |
267 } | 269 } |
268 | 270 |
269 int | 271 int |
270 EIG::hermitian_init (const ComplexMatrix& a) | 272 EIG::hermitian_init (const ComplexMatrix& a, bool calc_ev) |
271 { | 273 { |
272 int n = a.rows (); | 274 int n = a.rows (); |
273 | 275 |
274 if (n != a.cols ()) | 276 if (n != a.cols ()) |
275 { | 277 { |
294 | 296 |
295 int lrwork = 3*n; | 297 int lrwork = 3*n; |
296 Array<double> rwork (lrwork); | 298 Array<double> rwork (lrwork); |
297 double *prwork = rwork.fortran_vec (); | 299 double *prwork = rwork.fortran_vec (); |
298 | 300 |
299 F77_XFCN (zheev, ZHEEV, (F77_CONST_CHAR_ARG2 ("V", 1), | 301 F77_XFCN (zheev, ZHEEV, (F77_CONST_CHAR_ARG2 (calc_ev ? "V" : "N", 1), |
300 F77_CONST_CHAR_ARG2 ("U", 1), | 302 F77_CONST_CHAR_ARG2 ("U", 1), |
301 n, tmp_data, n, pwr, pwork, lwork, prwork, info | 303 n, tmp_data, n, pwr, pwork, lwork, prwork, info |
302 F77_CHAR_ARG_LEN (1) | 304 F77_CHAR_ARG_LEN (1) |
303 F77_CHAR_ARG_LEN (1))); | 305 F77_CHAR_ARG_LEN (1))); |
304 | 306 |
307 else if (info > 0) | 309 else if (info > 0) |
308 (*current_liboctave_error_handler) ("zheev failed to converge"); | 310 (*current_liboctave_error_handler) ("zheev failed to converge"); |
309 else | 311 else |
310 { | 312 { |
311 lambda = ComplexColumnVector (wr); | 313 lambda = ComplexColumnVector (wr); |
312 v = ComplexMatrix (atmp); | 314 v = calc_ev ? ComplexMatrix (atmp) : ComplexMatrix (); |
313 } | 315 } |
314 | 316 |
315 return info; | 317 return info; |
316 } | 318 } |
317 | 319 |