Line data Source code
1 : /*
2 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3 : SLEPc - Scalable Library for Eigenvalue Problem Computations
4 : Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
5 :
6 : This file is part of SLEPc.
7 : SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9 : */
10 : /*
11 : SLEPc singular value solver: "cyclic"
12 :
13 : Method: Uses a Hermitian eigensolver for H(A) = [ 0 A ; A^T 0 ]
14 : */
15 :
16 : #include <slepc/private/svdimpl.h> /*I "slepcsvd.h" I*/
17 : #include <slepc/private/bvimpl.h>
18 : #include "cyclic.h"
19 :
20 2839 : static PetscErrorCode MatMult_Cyclic(Mat B,Vec x,Vec y)
21 : {
22 2839 : SVD_CYCLIC_SHELL *ctx;
23 2839 : const PetscScalar *px;
24 2839 : PetscScalar *py;
25 2839 : PetscInt m;
26 :
27 2839 : PetscFunctionBegin;
28 2839 : PetscCall(MatShellGetContext(B,&ctx));
29 2839 : PetscCall(MatGetLocalSize(ctx->A,&m,NULL));
30 2839 : PetscCall(VecGetArrayRead(x,&px));
31 2839 : PetscCall(VecGetArrayWrite(y,&py));
32 2839 : PetscCall(VecPlaceArray(ctx->x1,px));
33 2839 : PetscCall(VecPlaceArray(ctx->x2,px+m));
34 2839 : PetscCall(VecPlaceArray(ctx->y1,py));
35 2839 : PetscCall(VecPlaceArray(ctx->y2,py+m));
36 2839 : PetscCall(MatMult(ctx->A,ctx->x2,ctx->y1));
37 2839 : PetscCall(MatMult(ctx->AT,ctx->x1,ctx->y2));
38 2839 : PetscCall(VecResetArray(ctx->x1));
39 2839 : PetscCall(VecResetArray(ctx->x2));
40 2839 : PetscCall(VecResetArray(ctx->y1));
41 2839 : PetscCall(VecResetArray(ctx->y2));
42 2839 : PetscCall(VecRestoreArrayRead(x,&px));
43 2839 : PetscCall(VecRestoreArrayWrite(y,&py));
44 2839 : PetscFunctionReturn(PETSC_SUCCESS);
45 : }
46 :
47 0 : static PetscErrorCode MatGetDiagonal_Cyclic(Mat B,Vec diag)
48 : {
49 0 : PetscFunctionBegin;
50 0 : PetscCall(VecSet(diag,0.0));
51 0 : PetscFunctionReturn(PETSC_SUCCESS);
52 : }
53 :
54 27 : static PetscErrorCode MatDestroy_Cyclic(Mat B)
55 : {
56 27 : SVD_CYCLIC_SHELL *ctx;
57 :
58 27 : PetscFunctionBegin;
59 27 : PetscCall(MatShellGetContext(B,&ctx));
60 27 : PetscCall(VecDestroy(&ctx->x1));
61 27 : PetscCall(VecDestroy(&ctx->x2));
62 27 : PetscCall(VecDestroy(&ctx->y1));
63 27 : PetscCall(VecDestroy(&ctx->y2));
64 27 : if (ctx->misaligned) {
65 0 : PetscCall(VecDestroy(&ctx->wx2));
66 0 : PetscCall(VecDestroy(&ctx->wy2));
67 : }
68 27 : PetscCall(PetscFree(ctx));
69 27 : PetscFunctionReturn(PETSC_SUCCESS);
70 : }
71 :
72 : /*
73 : Builds cyclic matrix C = | 0 A |
74 : | AT 0 |
75 : */
76 42 : static PetscErrorCode SVDCyclicGetCyclicMat(SVD svd,Mat A,Mat AT,Mat *C)
77 : {
78 42 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
79 42 : SVD_CYCLIC_SHELL *ctx;
80 42 : PetscInt i,M,N,m,n,Istart,Iend;
81 42 : VecType vtype;
82 42 : Mat Zm,Zn;
83 : #if defined(PETSC_HAVE_CUDA)
84 : PetscBool cuda;
85 : const PetscInt *ranges;
86 : PetscMPIInt size;
87 : #endif
88 :
89 42 : PetscFunctionBegin;
90 42 : PetscCall(MatGetSize(A,&M,&N));
91 42 : PetscCall(MatGetLocalSize(A,&m,&n));
92 :
93 42 : if (cyclic->explicitmatrix) {
94 15 : PetscCheck(svd->expltrans,PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Cannot use explicit cyclic matrix with implicit transpose");
95 15 : PetscCall(MatCreate(PetscObjectComm((PetscObject)svd),&Zm));
96 15 : PetscCall(MatSetSizes(Zm,m,m,M,M));
97 15 : PetscCall(MatSetFromOptions(Zm));
98 15 : PetscCall(MatGetOwnershipRange(Zm,&Istart,&Iend));
99 2957 : for (i=Istart;i<Iend;i++) PetscCall(MatSetValue(Zm,i,i,0.0,INSERT_VALUES));
100 15 : PetscCall(MatAssemblyBegin(Zm,MAT_FINAL_ASSEMBLY));
101 15 : PetscCall(MatAssemblyEnd(Zm,MAT_FINAL_ASSEMBLY));
102 15 : PetscCall(MatCreate(PetscObjectComm((PetscObject)svd),&Zn));
103 15 : PetscCall(MatSetSizes(Zn,n,n,N,N));
104 15 : PetscCall(MatSetFromOptions(Zn));
105 15 : PetscCall(MatGetOwnershipRange(Zn,&Istart,&Iend));
106 1524 : for (i=Istart;i<Iend;i++) PetscCall(MatSetValue(Zn,i,i,0.0,INSERT_VALUES));
107 15 : PetscCall(MatAssemblyBegin(Zn,MAT_FINAL_ASSEMBLY));
108 15 : PetscCall(MatAssemblyEnd(Zn,MAT_FINAL_ASSEMBLY));
109 15 : PetscCall(MatCreateTile(1.0,Zm,1.0,A,1.0,AT,1.0,Zn,C));
110 15 : PetscCall(MatDestroy(&Zm));
111 15 : PetscCall(MatDestroy(&Zn));
112 : } else {
113 27 : PetscCall(PetscNew(&ctx));
114 27 : ctx->A = A;
115 27 : ctx->AT = AT;
116 27 : ctx->swapped = svd->swapped;
117 27 : PetscCall(MatCreateVecsEmpty(A,&ctx->x2,&ctx->x1));
118 27 : PetscCall(MatCreateVecsEmpty(A,&ctx->y2,&ctx->y1));
119 27 : PetscCall(MatCreateShell(PetscObjectComm((PetscObject)svd),m+n,m+n,M+N,M+N,ctx,C));
120 27 : PetscCall(MatShellSetOperation(*C,MATOP_GET_DIAGONAL,(void(*)(void))MatGetDiagonal_Cyclic));
121 27 : PetscCall(MatShellSetOperation(*C,MATOP_DESTROY,(void(*)(void))MatDestroy_Cyclic));
122 : #if defined(PETSC_HAVE_CUDA)
123 : PetscCall(PetscObjectTypeCompareAny((PetscObject)(svd->swapped?AT:A),&cuda,MATSEQAIJCUSPARSE,MATMPIAIJCUSPARSE,""));
124 : if (cuda) PetscCall(MatShellSetOperation(*C,MATOP_MULT,(void(*)(void))MatMult_Cyclic_CUDA));
125 : else
126 : #endif
127 27 : PetscCall(MatShellSetOperation(*C,MATOP_MULT,(void(*)(void))MatMult_Cyclic));
128 27 : PetscCall(MatGetVecType(A,&vtype));
129 27 : PetscCall(MatSetVecType(*C,vtype));
130 : #if defined(PETSC_HAVE_CUDA)
131 : if (cuda) {
132 : /* check alignment of bottom block */
133 : PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)ctx->x1),&size));
134 : PetscCall(VecGetOwnershipRanges(ctx->x1,&ranges));
135 : for (i=0;i<size;i++) {
136 : ctx->misaligned = (((ranges[i+1]-ranges[i])*sizeof(PetscScalar))%16)? PETSC_TRUE: PETSC_FALSE;
137 : if (ctx->misaligned) break;
138 : }
139 : if (ctx->misaligned) { /* create work vectors for MatMult */
140 : PetscCall(VecDuplicate(ctx->x2,&ctx->wx2));
141 : PetscCall(VecDuplicate(ctx->y2,&ctx->wy2));
142 : }
143 : }
144 : #endif
145 : }
146 42 : PetscFunctionReturn(PETSC_SUCCESS);
147 : }
148 :
149 6635 : static PetscErrorCode MatMult_ECross(Mat B,Vec x,Vec y)
150 : {
151 6635 : SVD_CYCLIC_SHELL *ctx;
152 6635 : const PetscScalar *px;
153 6635 : PetscScalar *py;
154 6635 : PetscInt mn,m,n;
155 :
156 6635 : PetscFunctionBegin;
157 6635 : PetscCall(MatShellGetContext(B,&ctx));
158 6635 : PetscCall(MatGetLocalSize(ctx->A,NULL,&n));
159 6635 : PetscCall(VecGetLocalSize(y,&mn));
160 6635 : m = mn-n;
161 6635 : PetscCall(VecGetArrayRead(x,&px));
162 6635 : PetscCall(VecGetArrayWrite(y,&py));
163 6635 : PetscCall(VecPlaceArray(ctx->x1,px));
164 6635 : PetscCall(VecPlaceArray(ctx->x2,px+m));
165 6635 : PetscCall(VecPlaceArray(ctx->y1,py));
166 6635 : PetscCall(VecPlaceArray(ctx->y2,py+m));
167 6635 : PetscCall(VecCopy(ctx->x1,ctx->y1));
168 6635 : PetscCall(MatMult(ctx->A,ctx->x2,ctx->w));
169 6635 : PetscCall(MatMult(ctx->AT,ctx->w,ctx->y2));
170 6635 : PetscCall(VecResetArray(ctx->x1));
171 6635 : PetscCall(VecResetArray(ctx->x2));
172 6635 : PetscCall(VecResetArray(ctx->y1));
173 6635 : PetscCall(VecResetArray(ctx->y2));
174 6635 : PetscCall(VecRestoreArrayRead(x,&px));
175 6635 : PetscCall(VecRestoreArrayWrite(y,&py));
176 6635 : PetscFunctionReturn(PETSC_SUCCESS);
177 : }
178 :
179 5 : static PetscErrorCode MatGetDiagonal_ECross(Mat B,Vec d)
180 : {
181 5 : SVD_CYCLIC_SHELL *ctx;
182 5 : PetscScalar *pd;
183 5 : PetscMPIInt len;
184 5 : PetscInt mn,m,n,N,i,j,start,end,ncols;
185 5 : PetscScalar *work1,*work2,*diag;
186 5 : const PetscInt *cols;
187 5 : const PetscScalar *vals;
188 :
189 5 : PetscFunctionBegin;
190 5 : PetscCall(MatShellGetContext(B,&ctx));
191 5 : PetscCall(MatGetLocalSize(ctx->A,NULL,&n));
192 5 : PetscCall(VecGetLocalSize(d,&mn));
193 5 : m = mn-n;
194 5 : PetscCall(VecGetArrayWrite(d,&pd));
195 5 : PetscCall(VecPlaceArray(ctx->y1,pd));
196 5 : PetscCall(VecSet(ctx->y1,1.0));
197 5 : PetscCall(VecResetArray(ctx->y1));
198 5 : PetscCall(VecPlaceArray(ctx->y2,pd+m));
199 5 : if (!ctx->diag) {
200 : /* compute diagonal from rows and store in ctx->diag */
201 5 : PetscCall(VecDuplicate(ctx->y2,&ctx->diag));
202 5 : PetscCall(MatGetSize(ctx->A,NULL,&N));
203 5 : PetscCall(PetscCalloc2(N,&work1,N,&work2));
204 5 : if (ctx->swapped) {
205 0 : PetscCall(MatGetOwnershipRange(ctx->AT,&start,&end));
206 0 : for (i=start;i<end;i++) {
207 0 : PetscCall(MatGetRow(ctx->AT,i,&ncols,NULL,&vals));
208 0 : for (j=0;j<ncols;j++) work1[i] += vals[j]*vals[j];
209 0 : PetscCall(MatRestoreRow(ctx->AT,i,&ncols,NULL,&vals));
210 : }
211 : } else {
212 5 : PetscCall(MatGetOwnershipRange(ctx->A,&start,&end));
213 111 : for (i=start;i<end;i++) {
214 106 : PetscCall(MatGetRow(ctx->A,i,&ncols,&cols,&vals));
215 806 : for (j=0;j<ncols;j++) work1[cols[j]] += vals[j]*vals[j];
216 106 : PetscCall(MatRestoreRow(ctx->A,i,&ncols,&cols,&vals));
217 : }
218 : }
219 5 : PetscCall(PetscMPIIntCast(N,&len));
220 20 : PetscCall(MPIU_Allreduce(work1,work2,len,MPIU_SCALAR,MPIU_SUM,PetscObjectComm((PetscObject)B)));
221 5 : PetscCall(VecGetOwnershipRange(ctx->diag,&start,&end));
222 5 : PetscCall(VecGetArrayWrite(ctx->diag,&diag));
223 100 : for (i=start;i<end;i++) diag[i-start] = work2[i];
224 5 : PetscCall(VecRestoreArrayWrite(ctx->diag,&diag));
225 5 : PetscCall(PetscFree2(work1,work2));
226 : }
227 5 : PetscCall(VecCopy(ctx->diag,ctx->y2));
228 5 : PetscCall(VecResetArray(ctx->y2));
229 5 : PetscCall(VecRestoreArrayWrite(d,&pd));
230 5 : PetscFunctionReturn(PETSC_SUCCESS);
231 : }
232 :
233 5 : static PetscErrorCode MatDestroy_ECross(Mat B)
234 : {
235 5 : SVD_CYCLIC_SHELL *ctx;
236 :
237 5 : PetscFunctionBegin;
238 5 : PetscCall(MatShellGetContext(B,&ctx));
239 5 : PetscCall(VecDestroy(&ctx->x1));
240 5 : PetscCall(VecDestroy(&ctx->x2));
241 5 : PetscCall(VecDestroy(&ctx->y1));
242 5 : PetscCall(VecDestroy(&ctx->y2));
243 5 : PetscCall(VecDestroy(&ctx->diag));
244 5 : PetscCall(VecDestroy(&ctx->w));
245 5 : if (ctx->misaligned) {
246 0 : PetscCall(VecDestroy(&ctx->wx2));
247 0 : PetscCall(VecDestroy(&ctx->wy2));
248 : }
249 5 : PetscCall(PetscFree(ctx));
250 5 : PetscFunctionReturn(PETSC_SUCCESS);
251 : }
252 :
253 : /*
254 : Builds extended cross product matrix C = | I_m 0 |
255 : | 0 AT*A |
256 : t is an auxiliary Vec used to take the dimensions of the upper block
257 : */
258 10 : static PetscErrorCode SVDCyclicGetECrossMat(SVD svd,Mat A,Mat AT,Mat *C,Vec t)
259 : {
260 10 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
261 10 : SVD_CYCLIC_SHELL *ctx;
262 10 : PetscInt i,M,N,m,n,Istart,Iend;
263 10 : VecType vtype;
264 10 : Mat Id,Zm,Zn,ATA;
265 : #if defined(PETSC_HAVE_CUDA)
266 : PetscBool cuda;
267 : const PetscInt *ranges;
268 : PetscMPIInt size;
269 : #endif
270 :
271 10 : PetscFunctionBegin;
272 10 : PetscCall(MatGetSize(A,NULL,&N));
273 10 : PetscCall(MatGetLocalSize(A,NULL,&n));
274 10 : PetscCall(VecGetSize(t,&M));
275 10 : PetscCall(VecGetLocalSize(t,&m));
276 :
277 10 : if (cyclic->explicitmatrix) {
278 5 : PetscCheck(svd->expltrans,PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Cannot use explicit cyclic matrix with implicit transpose");
279 5 : PetscCall(MatCreateConstantDiagonal(PetscObjectComm((PetscObject)svd),m,m,M,M,1.0,&Id));
280 5 : PetscCall(MatCreate(PetscObjectComm((PetscObject)svd),&Zm));
281 5 : PetscCall(MatSetSizes(Zm,m,n,M,N));
282 5 : PetscCall(MatSetFromOptions(Zm));
283 5 : PetscCall(MatGetOwnershipRange(Zm,&Istart,&Iend));
284 394 : for (i=Istart;i<Iend;i++) {
285 389 : if (i<N) PetscCall(MatSetValue(Zm,i,i,0.0,INSERT_VALUES));
286 : }
287 5 : PetscCall(MatAssemblyBegin(Zm,MAT_FINAL_ASSEMBLY));
288 5 : PetscCall(MatAssemblyEnd(Zm,MAT_FINAL_ASSEMBLY));
289 5 : PetscCall(MatCreate(PetscObjectComm((PetscObject)svd),&Zn));
290 5 : PetscCall(MatSetSizes(Zn,n,m,N,M));
291 5 : PetscCall(MatSetFromOptions(Zn));
292 5 : PetscCall(MatGetOwnershipRange(Zn,&Istart,&Iend));
293 404 : for (i=Istart;i<Iend;i++) {
294 399 : if (i<m) PetscCall(MatSetValue(Zn,i,i,0.0,INSERT_VALUES));
295 : }
296 5 : PetscCall(MatAssemblyBegin(Zn,MAT_FINAL_ASSEMBLY));
297 5 : PetscCall(MatAssemblyEnd(Zn,MAT_FINAL_ASSEMBLY));
298 5 : PetscCall(MatProductCreate(AT,A,NULL,&ATA));
299 5 : PetscCall(MatProductSetType(ATA,MATPRODUCT_AB));
300 5 : PetscCall(MatProductSetFromOptions(ATA));
301 5 : PetscCall(MatProductSymbolic(ATA));
302 5 : PetscCall(MatProductNumeric(ATA));
303 5 : PetscCall(MatCreateTile(1.0,Id,1.0,Zm,1.0,Zn,1.0,ATA,C));
304 5 : PetscCall(MatDestroy(&Id));
305 5 : PetscCall(MatDestroy(&Zm));
306 5 : PetscCall(MatDestroy(&Zn));
307 5 : PetscCall(MatDestroy(&ATA));
308 : } else {
309 5 : PetscCall(PetscNew(&ctx));
310 5 : ctx->A = A;
311 5 : ctx->AT = AT;
312 5 : ctx->swapped = svd->swapped;
313 5 : PetscCall(VecDuplicateEmpty(t,&ctx->x1));
314 5 : PetscCall(VecDuplicateEmpty(t,&ctx->y1));
315 5 : PetscCall(MatCreateVecsEmpty(A,&ctx->x2,NULL));
316 5 : PetscCall(MatCreateVecsEmpty(A,&ctx->y2,NULL));
317 5 : PetscCall(MatCreateVecs(A,NULL,&ctx->w));
318 5 : PetscCall(MatCreateShell(PetscObjectComm((PetscObject)svd),m+n,m+n,M+N,M+N,ctx,C));
319 5 : PetscCall(MatShellSetOperation(*C,MATOP_GET_DIAGONAL,(void(*)(void))MatGetDiagonal_ECross));
320 5 : PetscCall(MatShellSetOperation(*C,MATOP_DESTROY,(void(*)(void))MatDestroy_ECross));
321 : #if defined(PETSC_HAVE_CUDA)
322 : PetscCall(PetscObjectTypeCompareAny((PetscObject)(svd->swapped?AT:A),&cuda,MATSEQAIJCUSPARSE,MATMPIAIJCUSPARSE,""));
323 : if (cuda) PetscCall(MatShellSetOperation(*C,MATOP_MULT,(void(*)(void))MatMult_ECross_CUDA));
324 : else
325 : #endif
326 5 : PetscCall(MatShellSetOperation(*C,MATOP_MULT,(void(*)(void))MatMult_ECross));
327 5 : PetscCall(MatGetVecType(A,&vtype));
328 5 : PetscCall(MatSetVecType(*C,vtype));
329 : #if defined(PETSC_HAVE_CUDA)
330 : if (cuda) {
331 : /* check alignment of bottom block */
332 : PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)ctx->x1),&size));
333 : PetscCall(VecGetOwnershipRanges(ctx->x1,&ranges));
334 : for (i=0;i<size;i++) {
335 : ctx->misaligned = (((ranges[i+1]-ranges[i])*sizeof(PetscScalar))%16)? PETSC_TRUE: PETSC_FALSE;
336 : if (ctx->misaligned) break;
337 : }
338 : if (ctx->misaligned) { /* create work vectors for MatMult */
339 : PetscCall(VecDuplicate(ctx->x2,&ctx->wx2));
340 : PetscCall(VecDuplicate(ctx->y2,&ctx->wy2));
341 : }
342 : }
343 : #endif
344 : }
345 10 : PetscFunctionReturn(PETSC_SUCCESS);
346 : }
347 :
348 : /* Convergence test relative to the norm of R (used in GSVD only) */
349 136 : static PetscErrorCode EPSConv_Cyclic(EPS eps,PetscScalar eigr,PetscScalar eigi,PetscReal res,PetscReal *errest,void *ctx)
350 : {
351 136 : SVD svd = (SVD)ctx;
352 :
353 136 : PetscFunctionBegin;
354 136 : *errest = res/PetscMax(svd->nrma,svd->nrmb);
355 136 : PetscFunctionReturn(PETSC_SUCCESS);
356 : }
357 :
358 42 : static PetscErrorCode SVDSetUp_Cyclic(SVD svd)
359 : {
360 42 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
361 42 : PetscInt M,N,m,n,p,k,i,isl,offset,nev,ncv,mpd,maxit;
362 42 : PetscReal tol;
363 42 : const PetscScalar *isa,*oa;
364 42 : PetscScalar *va;
365 42 : EPSProblemType ptype;
366 42 : PetscBool trackall,issinv;
367 42 : Vec v,t;
368 42 : ST st;
369 42 : Mat Omega;
370 42 : MatType Atype;
371 :
372 42 : PetscFunctionBegin;
373 42 : PetscCall(MatGetSize(svd->A,&M,&N));
374 42 : PetscCall(MatGetLocalSize(svd->A,&m,&n));
375 42 : if (!cyclic->eps) PetscCall(SVDCyclicGetEPS(svd,&cyclic->eps));
376 42 : PetscCall(MatDestroy(&cyclic->C));
377 42 : PetscCall(MatDestroy(&cyclic->D));
378 42 : if (svd->isgeneralized) {
379 10 : if (svd->which==SVD_SMALLEST) { /* alternative pencil */
380 0 : PetscCall(MatCreateVecs(svd->B,NULL,&t));
381 0 : PetscCall(SVDCyclicGetCyclicMat(svd,svd->B,svd->BT,&cyclic->C));
382 0 : PetscCall(SVDCyclicGetECrossMat(svd,svd->A,svd->AT,&cyclic->D,t));
383 : } else {
384 10 : PetscCall(MatCreateVecs(svd->A,NULL,&t));
385 10 : PetscCall(SVDCyclicGetCyclicMat(svd,svd->A,svd->AT,&cyclic->C));
386 10 : PetscCall(SVDCyclicGetECrossMat(svd,svd->B,svd->BT,&cyclic->D,t));
387 : }
388 10 : PetscCall(VecDestroy(&t));
389 10 : PetscCall(EPSSetOperators(cyclic->eps,cyclic->C,cyclic->D));
390 10 : PetscCall(EPSGetProblemType(cyclic->eps,&ptype));
391 10 : if (!ptype) PetscCall(EPSSetProblemType(cyclic->eps,EPS_GHEP));
392 32 : } else if (svd->ishyperbolic) {
393 7 : PetscCall(SVDCyclicGetCyclicMat(svd,svd->A,svd->AT,&cyclic->C));
394 7 : PetscCall(MatCreateVecs(cyclic->C,&v,NULL));
395 7 : PetscCall(VecSet(v,1.0));
396 7 : PetscCall(VecGetArrayRead(svd->omega,&oa));
397 7 : PetscCall(VecGetArray(v,&va));
398 7 : if (svd->swapped) PetscCall(PetscArraycpy(va+m,oa,n));
399 5 : else PetscCall(PetscArraycpy(va,oa,m));
400 7 : PetscCall(VecRestoreArrayRead(svd->omega,&oa));
401 7 : PetscCall(VecRestoreArray(v,&va));
402 7 : PetscCall(MatGetType(svd->OP,&Atype));
403 7 : PetscCall(MatCreate(PetscObjectComm((PetscObject)svd),&Omega));
404 7 : PetscCall(MatSetSizes(Omega,m+n,m+n,M+N,M+N));
405 7 : PetscCall(MatSetType(Omega,Atype));
406 7 : PetscCall(MatDiagonalSet(Omega,v,INSERT_VALUES));
407 7 : PetscCall(EPSSetOperators(cyclic->eps,cyclic->C,Omega));
408 7 : PetscCall(EPSSetProblemType(cyclic->eps,EPS_GHIEP));
409 7 : PetscCall(MatDestroy(&Omega));
410 7 : PetscCall(VecDestroy(&v));
411 : } else {
412 25 : PetscCall(SVDCyclicGetCyclicMat(svd,svd->A,svd->AT,&cyclic->C));
413 25 : PetscCall(EPSSetOperators(cyclic->eps,cyclic->C,NULL));
414 25 : PetscCall(EPSSetProblemType(cyclic->eps,EPS_HEP));
415 : }
416 42 : if (!cyclic->usereps) {
417 41 : if (svd->which == SVD_LARGEST) {
418 39 : PetscCall(EPSGetST(cyclic->eps,&st));
419 39 : PetscCall(PetscObjectTypeCompare((PetscObject)st,STSINVERT,&issinv));
420 39 : if (issinv) PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_TARGET_MAGNITUDE));
421 38 : else if (svd->ishyperbolic) PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_LARGEST_MAGNITUDE));
422 31 : else PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_LARGEST_REAL));
423 : } else {
424 2 : if (svd->isgeneralized) { /* computes sigma^{-1} via alternative pencil */
425 0 : PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_LARGEST_REAL));
426 : } else {
427 2 : if (svd->ishyperbolic) PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_TARGET_MAGNITUDE));
428 2 : else PetscCall(EPSSetEigenvalueComparison(cyclic->eps,SlepcCompareSmallestPosReal,NULL));
429 2 : PetscCall(EPSSetTarget(cyclic->eps,0.0));
430 : }
431 : }
432 41 : PetscCall(EPSGetDimensions(cyclic->eps,&nev,&ncv,&mpd));
433 41 : PetscCheck(nev==1 || nev>=2*svd->nsv,PetscObjectComm((PetscObject)svd),PETSC_ERR_ARG_WRONG,"The number of requested eigenvalues %" PetscInt_FMT " must be at least 2*%" PetscInt_FMT,nev,svd->nsv);
434 41 : nev = PetscMax(nev,2*svd->nsv);
435 41 : if (ncv==PETSC_DEFAULT && svd->ncv!=PETSC_DEFAULT) ncv = PetscMax(3*svd->nsv,svd->ncv);
436 41 : if (mpd==PETSC_DEFAULT && svd->mpd!=PETSC_DEFAULT) mpd = svd->mpd;
437 41 : PetscCall(EPSSetDimensions(cyclic->eps,nev,ncv,mpd));
438 41 : PetscCall(EPSGetTolerances(cyclic->eps,&tol,&maxit));
439 47 : if (tol==(PetscReal)PETSC_DEFAULT) tol = svd->tol==(PetscReal)PETSC_DEFAULT? SLEPC_DEFAULT_TOL/10.0: svd->tol;
440 41 : if (maxit==PETSC_DEFAULT && svd->max_it!=PETSC_DEFAULT) maxit = svd->max_it;
441 41 : PetscCall(EPSSetTolerances(cyclic->eps,tol,maxit));
442 41 : switch (svd->conv) {
443 3 : case SVD_CONV_ABS:
444 3 : PetscCall(EPSSetConvergenceTest(cyclic->eps,EPS_CONV_ABS));break;
445 28 : case SVD_CONV_REL:
446 28 : PetscCall(EPSSetConvergenceTest(cyclic->eps,EPS_CONV_REL));break;
447 10 : case SVD_CONV_NORM:
448 10 : if (svd->isgeneralized) {
449 10 : if (!svd->nrma) PetscCall(MatNorm(svd->OP,NORM_INFINITY,&svd->nrma));
450 10 : if (!svd->nrmb) PetscCall(MatNorm(svd->OPb,NORM_INFINITY,&svd->nrmb));
451 10 : PetscCall(EPSSetConvergenceTestFunction(cyclic->eps,EPSConv_Cyclic,svd,NULL));
452 : } else {
453 0 : PetscCall(EPSSetConvergenceTest(cyclic->eps,EPS_CONV_NORM));break;
454 : }
455 : break;
456 0 : case SVD_CONV_MAXIT:
457 0 : SETERRQ(PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Maxit convergence test not supported in this solver");
458 0 : case SVD_CONV_USER:
459 0 : SETERRQ(PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"User-defined convergence test not supported in this solver");
460 : }
461 : }
462 42 : SVDCheckUnsupported(svd,SVD_FEATURE_STOPPING);
463 : /* Transfer the trackall option from svd to eps */
464 42 : PetscCall(SVDGetTrackAll(svd,&trackall));
465 42 : PetscCall(EPSSetTrackAll(cyclic->eps,trackall));
466 : /* Transfer the initial subspace from svd to eps */
467 42 : if (svd->nini<0 || svd->ninil<0) {
468 8 : for (i=0;i<-PetscMin(svd->nini,svd->ninil);i++) {
469 4 : PetscCall(MatCreateVecs(cyclic->C,&v,NULL));
470 4 : PetscCall(VecGetArrayWrite(v,&va));
471 4 : if (svd->isgeneralized) PetscCall(MatGetLocalSize(svd->B,&p,NULL));
472 4 : k = (svd->isgeneralized && svd->which==SVD_SMALLEST)? p: m; /* size of upper block row */
473 4 : if (i<-svd->ninil) {
474 4 : PetscCall(VecGetArrayRead(svd->ISL[i],&isa));
475 4 : if (svd->isgeneralized) {
476 1 : PetscCall(VecGetLocalSize(svd->ISL[i],&isl));
477 1 : PetscCheck(isl==m+p,PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Size mismatch for left initial vector");
478 1 : offset = (svd->which==SVD_SMALLEST)? m: 0;
479 1 : PetscCall(PetscArraycpy(va,isa+offset,k));
480 : } else {
481 3 : PetscCall(VecGetLocalSize(svd->ISL[i],&isl));
482 3 : PetscCheck(isl==k,PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Size mismatch for left initial vector");
483 3 : PetscCall(PetscArraycpy(va,isa,k));
484 : }
485 4 : PetscCall(VecRestoreArrayRead(svd->IS[i],&isa));
486 0 : } else PetscCall(PetscArrayzero(&va,k));
487 4 : if (i<-svd->nini) {
488 4 : PetscCall(VecGetLocalSize(svd->IS[i],&isl));
489 4 : PetscCheck(isl==n,PetscObjectComm((PetscObject)svd),PETSC_ERR_SUP,"Size mismatch for right initial vector");
490 4 : PetscCall(VecGetArrayRead(svd->IS[i],&isa));
491 4 : PetscCall(PetscArraycpy(va+k,isa,n));
492 4 : PetscCall(VecRestoreArrayRead(svd->IS[i],&isa));
493 0 : } else PetscCall(PetscArrayzero(va+k,n));
494 4 : PetscCall(VecRestoreArrayWrite(v,&va));
495 4 : PetscCall(VecDestroy(&svd->IS[i]));
496 4 : svd->IS[i] = v;
497 : }
498 4 : svd->nini = PetscMin(svd->nini,svd->ninil);
499 4 : PetscCall(EPSSetInitialSpace(cyclic->eps,-svd->nini,svd->IS));
500 4 : PetscCall(SlepcBasisDestroy_Private(&svd->nini,&svd->IS));
501 4 : PetscCall(SlepcBasisDestroy_Private(&svd->ninil,&svd->ISL));
502 : }
503 42 : PetscCall(EPSSetUp(cyclic->eps));
504 42 : PetscCall(EPSGetDimensions(cyclic->eps,NULL,&svd->ncv,&svd->mpd));
505 42 : svd->ncv = PetscMin(svd->ncv,PetscMin(M,N));
506 42 : PetscCall(EPSGetTolerances(cyclic->eps,NULL,&svd->max_it));
507 42 : if (svd->tol==(PetscReal)PETSC_DEFAULT) svd->tol = SLEPC_DEFAULT_TOL;
508 :
509 42 : svd->leftbasis = PETSC_TRUE;
510 42 : PetscCall(SVDAllocateSolution(svd,0));
511 42 : PetscFunctionReturn(PETSC_SUCCESS);
512 : }
513 :
514 8493 : static PetscErrorCode SVDCyclicCheckEigenvalue(SVD svd,PetscScalar er,PetscScalar ei,PetscReal *sigma,PetscBool *isreal)
515 : {
516 8493 : PetscFunctionBegin;
517 8493 : if (svd->ishyperbolic && PetscDefined(USE_COMPLEX) && PetscAbsReal(PetscImaginaryPart(er))>10*PetscAbsReal(PetscRealPart(er))) {
518 232 : *sigma = PetscImaginaryPart(er);
519 232 : if (isreal) *isreal = PETSC_FALSE;
520 8261 : } else if (svd->ishyperbolic && !PetscDefined(USE_COMPLEX) && PetscAbsScalar(ei)>10*PetscAbsScalar(er)) {
521 : *sigma = PetscRealPart(ei);
522 : if (isreal) *isreal = PETSC_FALSE;
523 : } else {
524 8261 : *sigma = PetscRealPart(er);
525 8261 : if (isreal) *isreal = PETSC_TRUE;
526 : }
527 8493 : PetscFunctionReturn(PETSC_SUCCESS);
528 : }
529 :
530 42 : static PetscErrorCode SVDSolve_Cyclic(SVD svd)
531 : {
532 42 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
533 42 : PetscInt i,j,nconv;
534 42 : PetscScalar er,ei;
535 42 : PetscReal sigma;
536 :
537 42 : PetscFunctionBegin;
538 42 : PetscCall(EPSSolve(cyclic->eps));
539 42 : PetscCall(EPSGetConverged(cyclic->eps,&nconv));
540 42 : PetscCall(EPSGetIterationNumber(cyclic->eps,&svd->its));
541 42 : PetscCall(EPSGetConvergedReason(cyclic->eps,(EPSConvergedReason*)&svd->reason));
542 669 : for (i=0,j=0;i<nconv;i++) {
543 627 : PetscCall(EPSGetEigenvalue(cyclic->eps,i,&er,&ei));
544 627 : PetscCall(SVDCyclicCheckEigenvalue(svd,er,ei,&sigma,NULL));
545 627 : if (sigma>0.0) {
546 426 : if (svd->isgeneralized && svd->which==SVD_SMALLEST) svd->sigma[j] = 1.0/sigma;
547 426 : else svd->sigma[j] = sigma;
548 426 : j++;
549 : }
550 : }
551 42 : svd->nconv = j;
552 42 : PetscFunctionReturn(PETSC_SUCCESS);
553 : }
554 :
555 21 : static PetscErrorCode SVDComputeVectors_Cyclic_Standard(SVD svd)
556 : {
557 21 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
558 21 : PetscInt i,j,m,nconv;
559 21 : PetscScalar er,ei;
560 21 : PetscReal sigma;
561 21 : const PetscScalar *px;
562 21 : Vec x,x1,x2;
563 :
564 21 : PetscFunctionBegin;
565 21 : PetscCall(MatCreateVecs(cyclic->C,&x,NULL));
566 21 : PetscCall(MatGetLocalSize(svd->A,&m,NULL));
567 21 : PetscCall(MatCreateVecsEmpty(svd->A,&x2,&x1));
568 21 : PetscCall(EPSGetConverged(cyclic->eps,&nconv));
569 188 : for (i=0,j=0;i<nconv;i++) {
570 167 : PetscCall(EPSGetEigenpair(cyclic->eps,i,&er,&ei,x,NULL));
571 167 : PetscCall(SVDCyclicCheckEigenvalue(svd,er,ei,&sigma,NULL));
572 167 : if (sigma<0.0) continue;
573 155 : PetscCall(VecGetArrayRead(x,&px));
574 155 : PetscCall(VecPlaceArray(x1,px));
575 155 : PetscCall(VecPlaceArray(x2,px+m));
576 155 : PetscCall(BVInsertVec(svd->U,j,x1));
577 155 : PetscCall(BVScaleColumn(svd->U,j,PETSC_SQRT2));
578 155 : PetscCall(BVInsertVec(svd->V,j,x2));
579 155 : PetscCall(BVScaleColumn(svd->V,j,PETSC_SQRT2));
580 155 : PetscCall(VecResetArray(x1));
581 155 : PetscCall(VecResetArray(x2));
582 155 : PetscCall(VecRestoreArrayRead(x,&px));
583 155 : j++;
584 : }
585 21 : PetscCall(VecDestroy(&x));
586 21 : PetscCall(VecDestroy(&x1));
587 21 : PetscCall(VecDestroy(&x2));
588 21 : PetscFunctionReturn(PETSC_SUCCESS);
589 : }
590 :
591 10 : static PetscErrorCode SVDComputeVectors_Cyclic_Generalized(SVD svd)
592 : {
593 10 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
594 10 : PetscInt i,j,m,p,nconv;
595 10 : PetscScalar *dst,er,ei;
596 10 : PetscReal sigma;
597 10 : const PetscScalar *src,*px;
598 10 : Vec u,v,x,x1,x2,uv;
599 :
600 10 : PetscFunctionBegin;
601 10 : PetscCall(MatGetLocalSize(svd->A,&m,NULL));
602 10 : PetscCall(MatGetLocalSize(svd->B,&p,NULL));
603 10 : PetscCall(MatCreateVecs(cyclic->C,&x,NULL));
604 10 : if (svd->which==SVD_SMALLEST) PetscCall(MatCreateVecsEmpty(svd->B,&x1,&x2));
605 10 : else PetscCall(MatCreateVecsEmpty(svd->A,&x2,&x1));
606 10 : PetscCall(MatCreateVecs(svd->A,NULL,&u));
607 10 : PetscCall(MatCreateVecs(svd->B,NULL,&v));
608 10 : PetscCall(EPSGetConverged(cyclic->eps,&nconv));
609 80 : for (i=0,j=0;i<nconv;i++) {
610 70 : PetscCall(EPSGetEigenpair(cyclic->eps,i,&er,&ei,x,NULL));
611 70 : PetscCall(SVDCyclicCheckEigenvalue(svd,er,ei,&sigma,NULL));
612 70 : if (sigma<0.0) continue;
613 70 : if (svd->which==SVD_SMALLEST) {
614 : /* evec_i = 1/sqrt(2)*[ v_i; w_i ], w_i = x_i/c_i */
615 0 : PetscCall(VecGetArrayRead(x,&px));
616 0 : PetscCall(VecPlaceArray(x2,px));
617 0 : PetscCall(VecPlaceArray(x1,px+p));
618 0 : PetscCall(VecCopy(x2,v));
619 0 : PetscCall(VecScale(v,PETSC_SQRT2)); /* v_i = sqrt(2)*evec_i_1 */
620 0 : PetscCall(VecScale(x1,PETSC_SQRT2)); /* w_i = sqrt(2)*evec_i_2 */
621 0 : PetscCall(MatMult(svd->A,x1,u)); /* A*w_i = u_i */
622 0 : PetscCall(VecScale(x1,1.0/PetscSqrtScalar(1.0+sigma*sigma))); /* x_i = w_i*c_i */
623 0 : PetscCall(BVInsertVec(svd->V,j,x1));
624 0 : PetscCall(VecResetArray(x2));
625 0 : PetscCall(VecResetArray(x1));
626 0 : PetscCall(VecRestoreArrayRead(x,&px));
627 : } else {
628 : /* evec_i = 1/sqrt(2)*[ u_i; w_i ], w_i = x_i/s_i */
629 70 : PetscCall(VecGetArrayRead(x,&px));
630 70 : PetscCall(VecPlaceArray(x1,px));
631 70 : PetscCall(VecPlaceArray(x2,px+m));
632 70 : PetscCall(VecCopy(x1,u));
633 70 : PetscCall(VecScale(u,PETSC_SQRT2)); /* u_i = sqrt(2)*evec_i_1 */
634 70 : PetscCall(VecScale(x2,PETSC_SQRT2)); /* w_i = sqrt(2)*evec_i_2 */
635 70 : PetscCall(MatMult(svd->B,x2,v)); /* B*w_i = v_i */
636 70 : PetscCall(VecScale(x2,1.0/PetscSqrtScalar(1.0+sigma*sigma))); /* x_i = w_i*s_i */
637 70 : PetscCall(BVInsertVec(svd->V,j,x2));
638 70 : PetscCall(VecResetArray(x1));
639 70 : PetscCall(VecResetArray(x2));
640 70 : PetscCall(VecRestoreArrayRead(x,&px));
641 : }
642 : /* copy [u;v] to U[j] */
643 70 : PetscCall(BVGetColumn(svd->U,j,&uv));
644 70 : PetscCall(VecGetArrayWrite(uv,&dst));
645 70 : PetscCall(VecGetArrayRead(u,&src));
646 70 : PetscCall(PetscArraycpy(dst,src,m));
647 70 : PetscCall(VecRestoreArrayRead(u,&src));
648 70 : PetscCall(VecGetArrayRead(v,&src));
649 70 : PetscCall(PetscArraycpy(dst+m,src,p));
650 70 : PetscCall(VecRestoreArrayRead(v,&src));
651 70 : PetscCall(VecRestoreArrayWrite(uv,&dst));
652 70 : PetscCall(BVRestoreColumn(svd->U,j,&uv));
653 70 : j++;
654 : }
655 10 : PetscCall(VecDestroy(&x));
656 10 : PetscCall(VecDestroy(&x1));
657 10 : PetscCall(VecDestroy(&x2));
658 10 : PetscCall(VecDestroy(&u));
659 10 : PetscCall(VecDestroy(&v));
660 10 : PetscFunctionReturn(PETSC_SUCCESS);
661 : }
662 :
663 : #if defined(PETSC_USE_COMPLEX)
664 : /* VecMaxAbs: returns the entry of x that has max(abs(x(i))), using w as a workspace vector */
665 4 : static PetscErrorCode VecMaxAbs(Vec x,Vec w,PetscScalar *v)
666 : {
667 4 : PetscMPIInt size,rank,root;
668 4 : const PetscScalar *xx;
669 4 : const PetscInt *ranges;
670 4 : PetscReal val;
671 4 : PetscInt p;
672 :
673 4 : PetscFunctionBegin;
674 4 : PetscCall(VecCopy(x,w));
675 4 : PetscCall(VecAbs(w));
676 4 : PetscCall(VecMax(w,&p,&val));
677 4 : PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)x),&size));
678 4 : PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)x),&rank));
679 4 : PetscCall(VecGetOwnershipRanges(x,&ranges));
680 4 : for (root=0;root<size;root++) if (p>=ranges[root] && p<ranges[root+1]) break;
681 4 : if (rank==root) {
682 4 : PetscCall(VecGetArrayRead(x,&xx));
683 4 : *v = xx[p-ranges[root]];
684 4 : PetscCall(VecRestoreArrayRead(x,&xx));
685 : }
686 8 : PetscCallMPI(MPI_Bcast(v,1,MPIU_SCALAR,root,PetscObjectComm((PetscObject)x)));
687 4 : PetscFunctionReturn(PETSC_SUCCESS);
688 : }
689 : #endif
690 :
691 7 : static PetscErrorCode SVDComputeVectors_Cyclic_Hyperbolic(SVD svd)
692 : {
693 7 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
694 7 : PetscInt i,j,m,n,nconv;
695 7 : PetscScalar er,ei;
696 7 : PetscReal sigma,nrm;
697 7 : PetscBool isreal;
698 7 : const PetscScalar *px;
699 7 : Vec u,x,xi=NULL,x1,x2,x1i=NULL,x2i;
700 7 : BV U=NULL,V=NULL;
701 : #if !defined(PETSC_USE_COMPLEX)
702 : const PetscScalar *pxi;
703 : PetscReal nrmr,nrmi;
704 : #else
705 7 : PetscScalar alpha;
706 : #endif
707 :
708 7 : PetscFunctionBegin;
709 7 : PetscCall(MatCreateVecs(cyclic->C,&x,svd->ishyperbolic?&xi:NULL));
710 7 : PetscCall(MatGetLocalSize(svd->A,&m,NULL));
711 7 : PetscCall(MatCreateVecsEmpty(svd->OP,&x2,&x1));
712 : #if defined(PETSC_USE_COMPLEX)
713 7 : PetscCall(MatCreateVecs(svd->OP,&x2i,&x1i));
714 : #else
715 : PetscCall(MatCreateVecsEmpty(svd->OP,&x2i,&x1i));
716 : #endif
717 : /* set-up Omega-normalization of U */
718 7 : U = svd->swapped? svd->V: svd->U;
719 7 : V = svd->swapped? svd->U: svd->V;
720 7 : PetscCall(BVGetSizes(U,&n,NULL,NULL));
721 7 : PetscCall(BV_SetMatrixDiagonal(U,svd->omega,svd->A));
722 7 : PetscCall(EPSGetConverged(cyclic->eps,&nconv));
723 386 : for (i=0,j=0;i<nconv;i++) {
724 379 : PetscCall(EPSGetEigenpair(cyclic->eps,i,&er,&ei,x,xi));
725 379 : PetscCall(SVDCyclicCheckEigenvalue(svd,er,ei,&sigma,&isreal));
726 379 : if (sigma<0.0) continue;
727 190 : PetscCall(VecGetArrayRead(x,&px));
728 190 : if (svd->swapped) {
729 14 : PetscCall(VecPlaceArray(x2,px));
730 14 : PetscCall(VecPlaceArray(x1,px+m));
731 : } else {
732 176 : PetscCall(VecPlaceArray(x1,px));
733 176 : PetscCall(VecPlaceArray(x2,px+n));
734 : }
735 : #if defined(PETSC_USE_COMPLEX)
736 190 : PetscCall(BVInsertVec(U,j,x1));
737 190 : PetscCall(BVInsertVec(V,j,x2));
738 190 : if (!isreal) {
739 4 : PetscCall(VecMaxAbs(x1,x1i,&alpha));
740 4 : PetscCall(BVScaleColumn(U,j,PetscAbsScalar(alpha)/alpha));
741 4 : PetscCall(BVScaleColumn(V,j,PetscAbsScalar(alpha)/(alpha*PETSC_i)));
742 : }
743 : #else
744 : PetscCall(VecGetArrayRead(xi,&pxi));
745 : if (svd->swapped) {
746 : PetscCall(VecPlaceArray(x2i,pxi));
747 : PetscCall(VecPlaceArray(x1i,pxi+m));
748 : } else {
749 : PetscCall(VecPlaceArray(x1i,pxi));
750 : PetscCall(VecPlaceArray(x2i,pxi+n));
751 : }
752 : PetscCall(VecNorm(x2,NORM_2,&nrmr));
753 : PetscCall(VecNorm(x2i,NORM_2,&nrmi));
754 : if (nrmi>nrmr) {
755 : if (isreal) {
756 : PetscCall(BVInsertVec(U,j,x1i));
757 : PetscCall(BVInsertVec(V,j,x2i));
758 : } else {
759 : PetscCall(BVInsertVec(U,j,x1));
760 : PetscCall(BVInsertVec(V,j,x2i));
761 : }
762 : } else {
763 : if (isreal) {
764 : PetscCall(BVInsertVec(U,j,x1));
765 : PetscCall(BVInsertVec(V,j,x2));
766 : } else {
767 : PetscCall(BVInsertVec(U,j,x1i));
768 : PetscCall(BVScaleColumn(U,j,-1.0));
769 : PetscCall(BVInsertVec(V,j,x2));
770 : }
771 : }
772 : PetscCall(VecResetArray(x1i));
773 : PetscCall(VecResetArray(x2i));
774 : PetscCall(VecRestoreArrayRead(xi,&pxi));
775 : #endif
776 190 : PetscCall(VecResetArray(x1));
777 190 : PetscCall(VecResetArray(x2));
778 190 : PetscCall(VecRestoreArrayRead(x,&px));
779 190 : PetscCall(BVGetColumn(U,j,&u));
780 190 : PetscCall(VecPointwiseMult(u,u,svd->omega));
781 190 : PetscCall(BVRestoreColumn(U,j,&u));
782 190 : PetscCall(BVNormColumn(U,j,NORM_2,&nrm));
783 190 : PetscCall(BVScaleColumn(U,j,1.0/PetscAbs(nrm)));
784 190 : svd->sign[j] = PetscSign(nrm);
785 190 : PetscCall(BVNormColumn(V,j,NORM_2,&nrm));
786 190 : PetscCall(BVScaleColumn(V,j,1.0/nrm));
787 190 : j++;
788 : }
789 7 : PetscCall(VecDestroy(&x));
790 7 : PetscCall(VecDestroy(&x1));
791 7 : PetscCall(VecDestroy(&x2));
792 7 : PetscCall(VecDestroy(&xi));
793 7 : PetscCall(VecDestroy(&x1i));
794 7 : PetscCall(VecDestroy(&x2i));
795 7 : PetscFunctionReturn(PETSC_SUCCESS);
796 : }
797 :
798 38 : static PetscErrorCode SVDComputeVectors_Cyclic(SVD svd)
799 : {
800 38 : PetscFunctionBegin;
801 38 : switch (svd->problem_type) {
802 21 : case SVD_STANDARD:
803 21 : PetscCall(SVDComputeVectors_Cyclic_Standard(svd));
804 : break;
805 10 : case SVD_GENERALIZED:
806 10 : PetscCall(SVDComputeVectors_Cyclic_Generalized(svd));
807 : break;
808 7 : case SVD_HYPERBOLIC:
809 7 : PetscCall(SVDComputeVectors_Cyclic_Hyperbolic(svd));
810 : break;
811 0 : default:
812 0 : SETERRQ(PetscObjectComm((PetscObject)svd),PETSC_ERR_ARG_WRONG,"Unknown singular value problem type");
813 : }
814 38 : PetscFunctionReturn(PETSC_SUCCESS);
815 : }
816 :
817 509 : static PetscErrorCode EPSMonitor_Cyclic(EPS eps,PetscInt its,PetscInt nconv,PetscScalar *eigr,PetscScalar *eigi,PetscReal *errest,PetscInt nest,void *ctx)
818 : {
819 509 : PetscInt i,j;
820 509 : SVD svd = (SVD)ctx;
821 509 : PetscScalar er,ei;
822 509 : PetscReal sigma;
823 509 : ST st;
824 :
825 509 : PetscFunctionBegin;
826 509 : nconv = 0;
827 509 : PetscCall(EPSGetST(eps,&st));
828 7759 : for (i=0,j=0;i<PetscMin(nest,svd->ncv);i++) {
829 7250 : er = eigr[i]; ei = eigi[i];
830 7250 : PetscCall(STBackTransform(st,1,&er,&ei));
831 7250 : PetscCall(SVDCyclicCheckEigenvalue(svd,er,ei,&sigma,NULL));
832 7250 : if (sigma>0.0) {
833 4714 : svd->sigma[j] = sigma;
834 4714 : svd->errest[j] = errest[i];
835 4714 : if (errest[i] && errest[i] < svd->tol) nconv++;
836 4714 : j++;
837 : }
838 : }
839 509 : nest = j;
840 509 : PetscCall(SVDMonitor(svd,its,nconv,svd->sigma,svd->errest,nest));
841 509 : PetscFunctionReturn(PETSC_SUCCESS);
842 : }
843 :
844 30 : static PetscErrorCode SVDSetFromOptions_Cyclic(SVD svd,PetscOptionItems *PetscOptionsObject)
845 : {
846 30 : PetscBool set,val;
847 30 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
848 30 : ST st;
849 :
850 30 : PetscFunctionBegin;
851 30 : PetscOptionsHeadBegin(PetscOptionsObject,"SVD Cyclic Options");
852 :
853 30 : PetscCall(PetscOptionsBool("-svd_cyclic_explicitmatrix","Use cyclic explicit matrix","SVDCyclicSetExplicitMatrix",cyclic->explicitmatrix,&val,&set));
854 30 : if (set) PetscCall(SVDCyclicSetExplicitMatrix(svd,val));
855 :
856 30 : PetscOptionsHeadEnd();
857 :
858 30 : if (!cyclic->eps) PetscCall(SVDCyclicGetEPS(svd,&cyclic->eps));
859 30 : if (!cyclic->explicitmatrix && !cyclic->usereps) {
860 : /* use as default an ST with shell matrix and Jacobi */
861 18 : PetscCall(EPSGetST(cyclic->eps,&st));
862 18 : PetscCall(STSetMatMode(st,ST_MATMODE_SHELL));
863 : }
864 30 : PetscCall(EPSSetFromOptions(cyclic->eps));
865 30 : PetscFunctionReturn(PETSC_SUCCESS);
866 : }
867 :
868 19 : static PetscErrorCode SVDCyclicSetExplicitMatrix_Cyclic(SVD svd,PetscBool explicitmat)
869 : {
870 19 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
871 :
872 19 : PetscFunctionBegin;
873 19 : if (cyclic->explicitmatrix != explicitmat) {
874 12 : cyclic->explicitmatrix = explicitmat;
875 12 : svd->state = SVD_STATE_INITIAL;
876 : }
877 19 : PetscFunctionReturn(PETSC_SUCCESS);
878 : }
879 :
880 : /*@
881 : SVDCyclicSetExplicitMatrix - Indicate if the eigensolver operator
882 : H(A) = [ 0 A ; A^T 0 ] must be computed explicitly.
883 :
884 : Logically Collective
885 :
886 : Input Parameters:
887 : + svd - singular value solver
888 : - explicitmat - boolean flag indicating if H(A) is built explicitly
889 :
890 : Options Database Key:
891 : . -svd_cyclic_explicitmatrix <boolean> - Indicates the boolean flag
892 :
893 : Level: advanced
894 :
895 : .seealso: SVDCyclicGetExplicitMatrix()
896 : @*/
897 19 : PetscErrorCode SVDCyclicSetExplicitMatrix(SVD svd,PetscBool explicitmat)
898 : {
899 19 : PetscFunctionBegin;
900 19 : PetscValidHeaderSpecific(svd,SVD_CLASSID,1);
901 76 : PetscValidLogicalCollectiveBool(svd,explicitmat,2);
902 19 : PetscTryMethod(svd,"SVDCyclicSetExplicitMatrix_C",(SVD,PetscBool),(svd,explicitmat));
903 19 : PetscFunctionReturn(PETSC_SUCCESS);
904 : }
905 :
906 1 : static PetscErrorCode SVDCyclicGetExplicitMatrix_Cyclic(SVD svd,PetscBool *explicitmat)
907 : {
908 1 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
909 :
910 1 : PetscFunctionBegin;
911 1 : *explicitmat = cyclic->explicitmatrix;
912 1 : PetscFunctionReturn(PETSC_SUCCESS);
913 : }
914 :
915 : /*@
916 : SVDCyclicGetExplicitMatrix - Returns the flag indicating if H(A) is built explicitly.
917 :
918 : Not Collective
919 :
920 : Input Parameter:
921 : . svd - singular value solver
922 :
923 : Output Parameter:
924 : . explicitmat - the mode flag
925 :
926 : Level: advanced
927 :
928 : .seealso: SVDCyclicSetExplicitMatrix()
929 : @*/
930 1 : PetscErrorCode SVDCyclicGetExplicitMatrix(SVD svd,PetscBool *explicitmat)
931 : {
932 1 : PetscFunctionBegin;
933 1 : PetscValidHeaderSpecific(svd,SVD_CLASSID,1);
934 1 : PetscAssertPointer(explicitmat,2);
935 1 : PetscUseMethod(svd,"SVDCyclicGetExplicitMatrix_C",(SVD,PetscBool*),(svd,explicitmat));
936 1 : PetscFunctionReturn(PETSC_SUCCESS);
937 : }
938 :
939 1 : static PetscErrorCode SVDCyclicSetEPS_Cyclic(SVD svd,EPS eps)
940 : {
941 1 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
942 :
943 1 : PetscFunctionBegin;
944 1 : PetscCall(PetscObjectReference((PetscObject)eps));
945 1 : PetscCall(EPSDestroy(&cyclic->eps));
946 1 : cyclic->eps = eps;
947 1 : cyclic->usereps = PETSC_TRUE;
948 1 : svd->state = SVD_STATE_INITIAL;
949 1 : PetscFunctionReturn(PETSC_SUCCESS);
950 : }
951 :
952 : /*@
953 : SVDCyclicSetEPS - Associate an eigensolver object (EPS) to the
954 : singular value solver.
955 :
956 : Collective
957 :
958 : Input Parameters:
959 : + svd - singular value solver
960 : - eps - the eigensolver object
961 :
962 : Level: advanced
963 :
964 : .seealso: SVDCyclicGetEPS()
965 : @*/
966 1 : PetscErrorCode SVDCyclicSetEPS(SVD svd,EPS eps)
967 : {
968 1 : PetscFunctionBegin;
969 1 : PetscValidHeaderSpecific(svd,SVD_CLASSID,1);
970 1 : PetscValidHeaderSpecific(eps,EPS_CLASSID,2);
971 1 : PetscCheckSameComm(svd,1,eps,2);
972 1 : PetscTryMethod(svd,"SVDCyclicSetEPS_C",(SVD,EPS),(svd,eps));
973 1 : PetscFunctionReturn(PETSC_SUCCESS);
974 : }
975 :
976 31 : static PetscErrorCode SVDCyclicGetEPS_Cyclic(SVD svd,EPS *eps)
977 : {
978 31 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
979 :
980 31 : PetscFunctionBegin;
981 31 : if (!cyclic->eps) {
982 31 : PetscCall(EPSCreate(PetscObjectComm((PetscObject)svd),&cyclic->eps));
983 31 : PetscCall(PetscObjectIncrementTabLevel((PetscObject)cyclic->eps,(PetscObject)svd,1));
984 31 : PetscCall(EPSSetOptionsPrefix(cyclic->eps,((PetscObject)svd)->prefix));
985 31 : PetscCall(EPSAppendOptionsPrefix(cyclic->eps,"svd_cyclic_"));
986 31 : PetscCall(PetscObjectSetOptions((PetscObject)cyclic->eps,((PetscObject)svd)->options));
987 31 : PetscCall(EPSSetWhichEigenpairs(cyclic->eps,EPS_LARGEST_REAL));
988 31 : PetscCall(EPSMonitorSet(cyclic->eps,EPSMonitor_Cyclic,svd,NULL));
989 : }
990 31 : *eps = cyclic->eps;
991 31 : PetscFunctionReturn(PETSC_SUCCESS);
992 : }
993 :
994 : /*@
995 : SVDCyclicGetEPS - Retrieve the eigensolver object (EPS) associated
996 : to the singular value solver.
997 :
998 : Collective
999 :
1000 : Input Parameter:
1001 : . svd - singular value solver
1002 :
1003 : Output Parameter:
1004 : . eps - the eigensolver object
1005 :
1006 : Level: advanced
1007 :
1008 : .seealso: SVDCyclicSetEPS()
1009 : @*/
1010 31 : PetscErrorCode SVDCyclicGetEPS(SVD svd,EPS *eps)
1011 : {
1012 31 : PetscFunctionBegin;
1013 31 : PetscValidHeaderSpecific(svd,SVD_CLASSID,1);
1014 31 : PetscAssertPointer(eps,2);
1015 31 : PetscUseMethod(svd,"SVDCyclicGetEPS_C",(SVD,EPS*),(svd,eps));
1016 31 : PetscFunctionReturn(PETSC_SUCCESS);
1017 : }
1018 :
1019 1 : static PetscErrorCode SVDView_Cyclic(SVD svd,PetscViewer viewer)
1020 : {
1021 1 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
1022 1 : PetscBool isascii;
1023 :
1024 1 : PetscFunctionBegin;
1025 1 : PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
1026 1 : if (isascii) {
1027 1 : if (!cyclic->eps) PetscCall(SVDCyclicGetEPS(svd,&cyclic->eps));
1028 1 : PetscCall(PetscViewerASCIIPrintf(viewer," %s matrix\n",cyclic->explicitmatrix?"explicit":"implicit"));
1029 1 : PetscCall(PetscViewerASCIIPushTab(viewer));
1030 1 : PetscCall(EPSView(cyclic->eps,viewer));
1031 1 : PetscCall(PetscViewerASCIIPopTab(viewer));
1032 : }
1033 1 : PetscFunctionReturn(PETSC_SUCCESS);
1034 : }
1035 :
1036 33 : static PetscErrorCode SVDReset_Cyclic(SVD svd)
1037 : {
1038 33 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
1039 :
1040 33 : PetscFunctionBegin;
1041 33 : PetscCall(EPSReset(cyclic->eps));
1042 33 : PetscCall(MatDestroy(&cyclic->C));
1043 33 : PetscCall(MatDestroy(&cyclic->D));
1044 33 : PetscFunctionReturn(PETSC_SUCCESS);
1045 : }
1046 :
1047 32 : static PetscErrorCode SVDDestroy_Cyclic(SVD svd)
1048 : {
1049 32 : SVD_CYCLIC *cyclic = (SVD_CYCLIC*)svd->data;
1050 :
1051 32 : PetscFunctionBegin;
1052 32 : PetscCall(EPSDestroy(&cyclic->eps));
1053 32 : PetscCall(PetscFree(svd->data));
1054 32 : PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicSetEPS_C",NULL));
1055 32 : PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicGetEPS_C",NULL));
1056 32 : PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicSetExplicitMatrix_C",NULL));
1057 32 : PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicGetExplicitMatrix_C",NULL));
1058 32 : PetscFunctionReturn(PETSC_SUCCESS);
1059 : }
1060 :
1061 32 : SLEPC_EXTERN PetscErrorCode SVDCreate_Cyclic(SVD svd)
1062 : {
1063 32 : SVD_CYCLIC *cyclic;
1064 :
1065 32 : PetscFunctionBegin;
1066 32 : PetscCall(PetscNew(&cyclic));
1067 32 : svd->data = (void*)cyclic;
1068 32 : svd->ops->solve = SVDSolve_Cyclic;
1069 32 : svd->ops->solveg = SVDSolve_Cyclic;
1070 32 : svd->ops->solveh = SVDSolve_Cyclic;
1071 32 : svd->ops->setup = SVDSetUp_Cyclic;
1072 32 : svd->ops->setfromoptions = SVDSetFromOptions_Cyclic;
1073 32 : svd->ops->destroy = SVDDestroy_Cyclic;
1074 32 : svd->ops->reset = SVDReset_Cyclic;
1075 32 : svd->ops->view = SVDView_Cyclic;
1076 32 : svd->ops->computevectors = SVDComputeVectors_Cyclic;
1077 32 : PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicSetEPS_C",SVDCyclicSetEPS_Cyclic));
1078 32 : PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicGetEPS_C",SVDCyclicGetEPS_Cyclic));
1079 32 : PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicSetExplicitMatrix_C",SVDCyclicSetExplicitMatrix_Cyclic));
1080 32 : PetscCall(PetscObjectComposeFunction((PetscObject)svd,"SVDCyclicGetExplicitMatrix_C",SVDCyclicGetExplicitMatrix_Cyclic));
1081 32 : PetscFunctionReturn(PETSC_SUCCESS);
1082 : }
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