GCC Code Coverage Report

Directory: ./
File: src/pep/interface/peprefine.c
Date: 2025-10-03 04:28:47
Exec Total Coverage
Lines: 391 392 99.7%
Functions: 7 7 100.0%
Branches: 1145 1796 63.8%
Line Branch Exec Source
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 Newton refinement for PEP, simple version
12 */
13
14 #include <slepc/private/pepimpl.h>
15 #include <slepcblaslapack.h>
16
17 #define NREF_MAXIT 10
18
19 typedef struct {
20 VecScatter *scatter_id,nst;
21 Mat *A;
22 Vec nv,vg,v,w;
23 } PEPSimpNRefctx;
24
25 typedef struct {
26 Mat M1;
27 Vec M2,M3;
28 PetscScalar M4,m3;
29 } PEP_REFINES_MATSHELL;
30
31 2810 static PetscErrorCode MatMult_FS(Mat M ,Vec x,Vec y)
32 {
33 2810 PEP_REFINES_MATSHELL *ctx;
34 2810 PetscScalar t;
35
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 2810 PetscFunctionBegin;
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 2810 PetscCall(MatShellGetContext(M,&ctx));
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 2810 PetscCall(VecDot(x,ctx->M3,&t));
39 2810 t *= ctx->m3/ctx->M4;
40
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 2810 PetscCall(MatMult(ctx->M1,x,y));
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 2810 PetscCall(VecAXPY(y,-t,ctx->M2));
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 554 PetscFunctionReturn(PETSC_SUCCESS);
43 }
44
45 156 static PetscErrorCode PEPSimpleNRefSetUp(PEP pep,PEPSimpNRefctx **ctx_)
46 {
47 156 PetscInt i,si,j,n0,m0,nloc,*idx1,*idx2,ne;
48 156 IS is1,is2;
49 156 PEPSimpNRefctx *ctx;
50 156 Vec v;
51 156 PetscMPIInt rank,size;
52 156 MPI_Comm child;
53
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 156 PetscFunctionBegin;
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 156 PetscCall(PetscCalloc1(1,ctx_));
56 156 ctx = *ctx_;
57
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 156 if (pep->npart==1) {
58 76 pep->refinesubc = NULL;
59 76 ctx->scatter_id = NULL;
60 76 ctx->A = pep->A;
61 } else {
62
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 80 PetscCall(PetscSubcommGetChild(pep->refinesubc,&child));
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 80 PetscCall(PetscMalloc2(pep->nmat,&ctx->A,pep->npart,&ctx->scatter_id));
64
65 /* Duplicate matrices */
66
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 320 for (i=0;i<pep->nmat;i++) PetscCall(MatCreateRedundantMatrix(pep->A[i],0,child,MAT_INITIAL_MATRIX,&ctx->A[i]));
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 80 PetscCall(MatCreateVecs(ctx->A[0],&ctx->v,NULL));
68
69 /* Create scatters for sending vectors to each subcommucator */
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 80 PetscCall(BVGetColumn(pep->V,0,&v));
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 80 PetscCall(VecGetOwnershipRange(v,&n0,&m0));
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 80 PetscCall(BVRestoreColumn(pep->V,0,&v));
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 80 PetscCall(VecGetLocalSize(ctx->v,&nloc));
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 80 PetscCall(PetscMalloc2(m0-n0,&idx1,m0-n0,&idx2));
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 80 PetscCall(VecCreateMPI(PetscObjectComm((PetscObject)pep),nloc,PETSC_DECIDE,&ctx->vg));
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 240 for (si=0;si<pep->npart;si++) {
77 160 j = 0;
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 1960 for (i=n0;i<m0;i++) {
79 1800 idx1[j] = i;
80 1800 idx2[j++] = i+pep->n*si;
81 }
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 160 PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pep),(m0-n0),idx1,PETSC_COPY_VALUES,&is1));
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 160 PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pep),(m0-n0),idx2,PETSC_COPY_VALUES,&is2));
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 160 PetscCall(BVGetColumn(pep->V,0,&v));
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 160 PetscCall(VecScatterCreate(v,is1,ctx->vg,is2,&ctx->scatter_id[si]));
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 160 PetscCall(BVRestoreColumn(pep->V,0,&v));
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 160 PetscCall(ISDestroy(&is1));
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 160 PetscCall(ISDestroy(&is2));
89 }
90
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 80 PetscCall(PetscFree2(idx1,idx2));
91 }
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 156 if (pep->scheme==PEP_REFINE_SCHEME_EXPLICIT) {
93
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 80 PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)ctx->A[0]),&rank));
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 80 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)ctx->A[0]),&size));
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 80 if (size>1) {
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 40 if (pep->npart==1) PetscCall(BVGetColumn(pep->V,0,&v));
97 40 else v = ctx->v;
98
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 40 PetscCall(VecGetOwnershipRange(v,&n0,&m0));
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 40 ne = (rank == size-1)?pep->n:0;
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 40 PetscCall(VecCreateMPI(PetscObjectComm((PetscObject)ctx->A[0]),ne,PETSC_DECIDE,&ctx->nv));
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 40 PetscCall(PetscMalloc1(m0-n0,&idx1));
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 640 for (i=n0;i<m0;i++) idx1[i-n0] = i;
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 40 PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)ctx->A[0]),(m0-n0),idx1,PETSC_COPY_VALUES,&is1));
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 40 PetscCall(VecScatterCreate(v,is1,ctx->nv,is1,&ctx->nst));
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 40 if (pep->npart==1) PetscCall(BVRestoreColumn(pep->V,0,&v));
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 40 PetscCall(PetscFree(idx1));
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 40 PetscCall(ISDestroy(&is1));
108 }
109 }
110
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 30 PetscFunctionReturn(PETSC_SUCCESS);
111 }
112
113 /*
114 Gather Eigenpair idx from subcommunicator with color sc
115 */
116 625 static PetscErrorCode PEPSimpleNRefGatherEigenpair(PEP pep,PEPSimpNRefctx *ctx,PetscInt sc,PetscInt idx,PetscInt *fail)
117 {
118 625 PetscMPIInt nproc,p;
119 625 MPI_Comm comm=((PetscObject)pep)->comm;
120 625 Vec v;
121 625 const PetscScalar *array;
122
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 625 PetscFunctionBegin;
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 625 PetscCallMPI(MPI_Comm_size(comm,&nproc));
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 625 PetscCall(PetscMPIIntCast((nproc/pep->npart)*(sc+1)+PetscMin(sc+1,nproc%pep->npart)-1,&p));
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 625 if (pep->npart>1) {
127 /* Communicate convergence successful */
128
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 600 PetscCallMPI(MPI_Bcast(fail,1,MPIU_INT,p,comm));
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 300 if (!(*fail)) {
130 /* Process 0 of subcommunicator sc broadcasts the eigenvalue */
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 600 PetscCallMPI(MPI_Bcast(&pep->eigr[idx],1,MPIU_SCALAR,p,comm));
132 /* Gather pep->V[idx] from the subcommuniator sc */
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 300 PetscCall(BVGetColumn(pep->V,idx,&v));
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 300 if (pep->refinesubc->color==sc) {
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 150 PetscCall(VecGetArrayRead(ctx->v,&array));
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 150 PetscCall(VecPlaceArray(ctx->vg,array));
137 }
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 300 PetscCall(VecScatterBegin(ctx->scatter_id[sc],ctx->vg,v,INSERT_VALUES,SCATTER_REVERSE));
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 300 PetscCall(VecScatterEnd(ctx->scatter_id[sc],ctx->vg,v,INSERT_VALUES,SCATTER_REVERSE));
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 300 if (pep->refinesubc->color==sc) {
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 150 PetscCall(VecResetArray(ctx->vg));
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 150 PetscCall(VecRestoreArrayRead(ctx->v,&array));
143 }
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 300 PetscCall(BVRestoreColumn(pep->V,idx,&v));
145 }
146 } else {
147
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 415 if (pep->scheme==PEP_REFINE_SCHEME_EXPLICIT && !(*fail)) PetscCallMPI(MPI_Bcast(&pep->eigr[idx],1,MPIU_SCALAR,p,comm));
148 }
149
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 121 PetscFunctionReturn(PETSC_SUCCESS);
150 }
151
152 849 static PetscErrorCode PEPSimpleNRefScatterEigenvector(PEP pep,PEPSimpNRefctx *ctx,PetscInt sc,PetscInt idx)
153 {
154 849 Vec v;
155 849 const PetscScalar *array;
156
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 849 PetscFunctionBegin;
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 849 if (pep->npart>1) {
159
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 440 PetscCall(BVGetColumn(pep->V,idx,&v));
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 440 if (pep->refinesubc->color==sc) {
161
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 220 PetscCall(VecGetArrayRead(ctx->v,&array));
162
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 220 PetscCall(VecPlaceArray(ctx->vg,array));
163 }
164
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 440 PetscCall(VecScatterBegin(ctx->scatter_id[sc],v,ctx->vg,INSERT_VALUES,SCATTER_FORWARD));
165
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 440 PetscCall(VecScatterEnd(ctx->scatter_id[sc],v,ctx->vg,INSERT_VALUES,SCATTER_FORWARD));
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 440 if (pep->refinesubc->color==sc) {
167
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 220 PetscCall(VecResetArray(ctx->vg));
168
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 220 PetscCall(VecRestoreArrayRead(ctx->v,&array));
169 }
170
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 440 PetscCall(BVRestoreColumn(pep->V,idx,&v));
171 }
172
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 165 PetscFunctionReturn(PETSC_SUCCESS);
173 }
174
175 475 static PetscErrorCode PEPEvaluateFunctionDerivatives(PEP pep,PetscScalar alpha,PetscScalar *vals)
176 {
177 475 PetscInt i,nmat=pep->nmat;
178 475 PetscScalar a0,a1,a2;
179 475 PetscReal *a=pep->pbc,*b=a+nmat,*g=b+nmat;
180
181
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 475 PetscFunctionBegin;
182 475 a0 = 0.0;
183 475 a1 = 1.0;
184 475 vals[0] = 0.0;
185
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 475 if (nmat>1) vals[1] = 1/a[0];
186
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 950 for (i=2;i<nmat;i++) {
187 475 a2 = ((alpha-b[i-2])*a1-g[i-2]*a0)/a[i-2];
188 475 vals[i] = (a2+(alpha-b[i-1])*vals[i-1]-g[i-1]*vals[i-2])/a[i-1];
189 475 a0 = a1; a1 = a2;
190 }
191
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 475 PetscFunctionReturn(PETSC_SUCCESS);
192 }
193
194 475 static PetscErrorCode PEPSimpleNRefSetUpSystem(PEP pep,Mat *A,PEPSimpNRefctx *ctx,PetscInt idx,Mat *Mt,Mat *T,Mat *P,PetscBool ini,Vec t,Vec v)
195 {
196 475 PetscInt i,nmat=pep->nmat,ml,m0,n0,m1,mg;
197 475 PetscInt ncols,*cols2=NULL;
198 475 PetscScalar zero=0.0,*coeffs,*coeffs2;
199 475 PetscMPIInt rank,size;
200 475 MPI_Comm comm;
201 475 const PetscInt *cols;
202 475 const PetscScalar *vals,*array;
203 475 MatStructure str;
204 475 PEP_REFINES_MATSHELL *fctx;
205 475 PEPRefineScheme scheme=pep->scheme;
206 475 Vec w=ctx->w;
207 475 Mat M;
208
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 475 PetscFunctionBegin;
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 475 PetscCall(STGetMatStructure(pep->st,&str));
211
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 475 PetscCall(PetscMalloc2(nmat,&coeffs,nmat,&coeffs2));
212
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 475 switch (scheme) {
213 145 case PEP_REFINE_SCHEME_SCHUR:
214
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 145 if (ini) {
215
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 36 PetscCall(PetscCalloc1(1,&fctx));
216
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 36 PetscCall(MatGetSize(A[0],&m0,&n0));
217
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 36 PetscCall(MatCreateShell(PetscObjectComm((PetscObject)A[0]),PETSC_DECIDE,PETSC_DECIDE,m0,n0,fctx,T));
218
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 36 PetscCall(MatShellSetOperation(*T,MATOP_MULT,(PetscErrorCodeFn*)MatMult_FS));
219
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 109 } else PetscCall(MatShellGetContext(*T,&fctx));
220 145 M=fctx->M1;
221 145 break;
222 105 case PEP_REFINE_SCHEME_MBE:
223 105 M=*T;
224 105 break;
225 225 case PEP_REFINE_SCHEME_EXPLICIT:
226 225 M=*Mt;
227 225 break;
228 }
229
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 475 if (ini) PetscCall(MatDuplicate(A[0],MAT_COPY_VALUES,&M));
230
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 329 else PetscCall(MatCopy(A[0],M,DIFFERENT_NONZERO_PATTERN));
231
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 475 PetscCall(PEPEvaluateBasis(pep,pep->eigr[idx],0,coeffs,NULL));
232
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 475 PetscCall(MatScale(M,coeffs[0]));
233
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 1425 for (i=1;i<nmat;i++) PetscCall(MatAXPY(M,coeffs[i],A[i],(ini)?str:SUBSET_NONZERO_PATTERN));
234
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 475 PetscCall(PEPEvaluateFunctionDerivatives(pep,pep->eigr[idx],coeffs2));
235
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 950 for (i=0;i<nmat && PetscAbsScalar(coeffs2[i])==0.0;i++);
236
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 475 PetscCall(MatMult(A[i],v,w));
237
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 475 if (coeffs2[i]!=1.0) PetscCall(VecScale(w,coeffs2[i]));
238
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 950 for (i++;i<nmat;i++) {
239
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 475 PetscCall(MatMult(A[i],v,t));
240
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 475 PetscCall(VecAXPY(w,coeffs2[i],t));
241 }
242
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 475 switch (scheme) {
243 225 case PEP_REFINE_SCHEME_EXPLICIT:
244 225 comm = PetscObjectComm((PetscObject)A[0]);
245
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 225 PetscCallMPI(MPI_Comm_rank(comm,&rank));
246
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 225 PetscCallMPI(MPI_Comm_size(comm,&size));
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 225 PetscCall(MatGetSize(M,&mg,NULL));
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 225 PetscCall(MatGetOwnershipRange(M,&m0,&m1));
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 225 if (ini) {
250
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 75 PetscCall(MatCreate(comm,T));
251
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 75 PetscCall(MatGetLocalSize(M,&ml,NULL));
252
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 75 if (rank==size-1) ml++;
253
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 75 PetscCall(MatSetSizes(*T,ml,ml,mg+1,mg+1));
254
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 75 PetscCall(MatSetFromOptions(*T));
255 75 *Mt = M;
256 75 *P = *T;
257 }
258
259 /* Set values */
260
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 225 PetscCall(VecGetArrayRead(w,&array));
261
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 5175 for (i=m0;i<m1;i++) {
262
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 4950 PetscCall(MatGetRow(M,i,&ncols,&cols,&vals));
263
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 4950 PetscCall(MatSetValues(*T,1,&i,ncols,cols,vals,INSERT_VALUES));
264
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 4950 PetscCall(MatRestoreRow(M,i,&ncols,&cols,&vals));
265
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 4950 PetscCall(MatSetValues(*T,1,&i,1,&mg,array+i-m0,INSERT_VALUES));
266 }
267
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 225 PetscCall(VecRestoreArrayRead(w,&array));
268
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 225 PetscCall(VecConjugate(v));
269
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 225 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)A[0]),&size));
270
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 225 PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)A[0]),&rank));
271
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 225 if (size>1) {
272
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 120 if (rank==size-1) {
273
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 60 PetscCall(PetscMalloc1(pep->n,&cols2));
274
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 1860 for (i=0;i<pep->n;i++) cols2[i]=i;
275 }
276
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 120 PetscCall(VecScatterBegin(ctx->nst,v,ctx->nv,INSERT_VALUES,SCATTER_FORWARD));
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 120 PetscCall(VecScatterEnd(ctx->nst,v,ctx->nv,INSERT_VALUES,SCATTER_FORWARD));
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 120 PetscCall(VecGetArrayRead(ctx->nv,&array));
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 120 if (rank==size-1) {
280
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 60 PetscCall(MatSetValues(*T,1,&mg,pep->n,cols2,array,INSERT_VALUES));
281
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 60 PetscCall(MatSetValues(*T,1,&mg,1,&mg,&zero,INSERT_VALUES));
282 }
283
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 120 PetscCall(VecRestoreArrayRead(ctx->nv,&array));
284 } else {
285
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 105 PetscCall(PetscMalloc1(m1-m0,&cols2));
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 3255 for (i=0;i<m1-m0;i++) cols2[i]=m0+i;
287
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 105 PetscCall(VecGetArrayRead(v,&array));
288
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 105 PetscCall(MatSetValues(*T,1,&mg,m1-m0,cols2,array,INSERT_VALUES));
289
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 105 PetscCall(MatSetValues(*T,1,&mg,1,&mg,&zero,INSERT_VALUES));
290
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 105 PetscCall(VecRestoreArrayRead(v,&array));
291 }
292
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 225 PetscCall(VecConjugate(v));
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 225 PetscCall(MatAssemblyBegin(*T,MAT_FINAL_ASSEMBLY));
294
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 225 PetscCall(MatAssemblyEnd(*T,MAT_FINAL_ASSEMBLY));
295
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 225 PetscCall(PetscFree(cols2));
296 break;
297 145 case PEP_REFINE_SCHEME_SCHUR:
298 145 fctx->M2 = w;
299 145 fctx->M3 = v;
300 145 fctx->m3 = 0.0;
301
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 290 for (i=1;i<nmat-1;i++) fctx->m3 += PetscConj(coeffs[i])*coeffs[i];
302 145 fctx->M4 = 0.0;
303
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 290 for (i=1;i<nmat-1;i++) fctx->M4 += PetscConj(coeffs[i])*coeffs2[i];
304 145 fctx->M1 = M;
305
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 145 if (ini) PetscCall(MatDuplicate(M,MAT_COPY_VALUES,P));
306
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 109 else PetscCall(MatCopy(M,*P,SAME_NONZERO_PATTERN));
307
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 145 if (fctx->M4!=0.0) {
308
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 145 PetscCall(VecConjugate(v));
309
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 145 PetscCall(VecPointwiseMult(t,v,w));
310
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 145 PetscCall(VecConjugate(v));
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 145 PetscCall(VecScale(t,-fctx->m3/fctx->M4));
312
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 145 PetscCall(MatDiagonalSet(*P,t,ADD_VALUES));
313 }
314 break;
315 105 case PEP_REFINE_SCHEME_MBE:
316 105 *T = M;
317 105 *P = M;
318 105 break;
319 }
320
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 475 PetscCall(PetscFree2(coeffs,coeffs2));
321
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 91 PetscFunctionReturn(PETSC_SUCCESS);
322 }
323
324 156 PetscErrorCode PEPNewtonRefinementSimple(PEP pep,PetscInt *maxits,PetscReal tol,PetscInt k)
325 {
326 156 PetscInt i,n,its,idx=0,*idx_sc,*its_sc,color,*fail_sc;
327 156 PetscMPIInt rank,size;
328 156 Mat Mt=NULL,T=NULL,P=NULL;
329 156 MPI_Comm comm;
330 156 Vec r,v,dv,rr=NULL,dvv=NULL,t[2];
331 156 PetscScalar *array2,deig=0.0,tt[2],ttt;
332 156 const PetscScalar *array;
333 156 PetscReal norm,error;
334 156 PetscBool ini=PETSC_TRUE,sc_pend,solved=PETSC_FALSE;
335 156 PEPSimpNRefctx *ctx;
336 156 PEP_REFINES_MATSHELL *fctx=NULL;
337 156 KSPConvergedReason reason;
338
339
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 156 PetscFunctionBegin;
340
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 156 PetscCall(PetscLogEventBegin(PEP_Refine,pep,0,0,0));
341
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 156 PetscCall(PEPSimpleNRefSetUp(pep,&ctx));
342
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 156 its = (maxits)?*maxits:NREF_MAXIT;
343
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 156 if (!pep->refineksp) PetscCall(PEPRefineGetKSP(pep,&pep->refineksp));
344
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 156 if (pep->npart==1) PetscCall(BVGetColumn(pep->V,0,&v));
345 80 else v = ctx->v;
346
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 156 PetscCall(VecDuplicate(v,&ctx->w));
347
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 156 PetscCall(VecDuplicate(v,&r));
348
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 156 PetscCall(VecDuplicate(v,&dv));
349
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 156 PetscCall(VecDuplicate(v,&t[0]));
350
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 156 PetscCall(VecDuplicate(v,&t[1]));
351
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 156 if (pep->npart==1) {
352
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 76 PetscCall(BVRestoreColumn(pep->V,0,&v));
353
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 76 PetscCall(PetscObjectGetComm((PetscObject)pep,&comm));
354
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 80 } else PetscCall(PetscSubcommGetChild(pep->refinesubc,&comm));
355
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 156 PetscCallMPI(MPI_Comm_size(comm,&size));
356
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 156 PetscCallMPI(MPI_Comm_rank(comm,&rank));
357
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 156 PetscCall(VecGetLocalSize(r,&n));
358
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 156 PetscCall(PetscMalloc3(pep->npart,&idx_sc,pep->npart,&its_sc,pep->npart,&fail_sc));
359
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 392 for (i=0;i<pep->npart;i++) fail_sc[i] = 0;
360
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 392 for (i=0;i<pep->npart;i++) its_sc[i] = 0;
361
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 156 color = (pep->npart==1)?0:pep->refinesubc->color;
362
363 /* Loop performing iterative refinements */
364 156 while (!solved) {
365
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 1522 for (i=0;i<pep->npart;i++) {
366 881 sc_pend = PETSC_TRUE;
367
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 881 if (its_sc[i]==0) {
368 256 idx_sc[i] = idx++;
369
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 256 if (idx_sc[i]>=k) {
370 sc_pend = PETSC_FALSE;
371
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 216 } else PetscCall(PEPSimpleNRefScatterEigenvector(pep,ctx,i,idx_sc[i]));
372 } else { /* Gather Eigenpair from subcommunicator i */
373
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 625 PetscCall(PEPSimpleNRefGatherEigenpair(pep,ctx,i,idx_sc[i],&fail_sc[i]));
374 }
375
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 2139 while (sc_pend) {
376
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 1474 if (!fail_sc[i]) PetscCall(PEPComputeError(pep,idx_sc[i],PEP_ERROR_BACKWARD,&error));
377
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 1474 if (error<=tol || its_sc[i]>=its || fail_sc[i]) {
378 849 idx_sc[i] = idx++;
379 849 its_sc[i] = 0;
380 849 fail_sc[i] = 0;
381
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 849 if (idx_sc[i]<k) PetscCall(PEPSimpleNRefScatterEigenvector(pep,ctx,i,idx_sc[i]));
382 } else {
383 625 sc_pend = PETSC_FALSE;
384 625 its_sc[i]++;
385 }
386
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 1474 if (idx_sc[i]>=k) sc_pend = PETSC_FALSE;
387 }
388 }
389 solved = PETSC_TRUE;
390
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 1362 for (i=0;i<pep->npart&&solved;i++) solved = PetscNot(idx_sc[i]<k);
391
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 641 if (idx_sc[color]<k) {
392 #if !defined(PETSC_USE_COMPLEX)
393
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 248 PetscCheck(pep->eigi[idx_sc[color]]==0.0,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"Simple Refinement not implemented in real scalars for complex eigenvalues");
394 #endif
395
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 475 if (pep->npart==1) PetscCall(BVGetColumn(pep->V,idx_sc[color],&v));
396 150 else v = ctx->v;
397
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 475 PetscCall(PEPSimpleNRefSetUpSystem(pep,ctx->A,ctx,idx_sc[color],&Mt,&T,&P,ini,t[0],v));
398
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 475 PetscCall(PEP_KSPSetOperators(pep->refineksp,T,P));
399
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 475 if (ini) {
400
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 146 PetscCall(KSPSetFromOptions(pep->refineksp));
401
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 146 if (pep->scheme==PEP_REFINE_SCHEME_EXPLICIT) {
402
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 75 PetscCall(MatCreateVecs(T,&dvv,NULL));
403
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 75 PetscCall(VecDuplicate(dvv,&rr));
404 }
405 ini = PETSC_FALSE;
406 }
407
408
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 475 switch (pep->scheme) {
409 225 case PEP_REFINE_SCHEME_EXPLICIT:
410
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 225 PetscCall(MatMult(Mt,v,r));
411
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 225 PetscCall(VecGetArrayRead(r,&array));
412
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 225 if (rank==size-1) {
413
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 165 PetscCall(VecGetArray(rr,&array2));
414
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 165 PetscCall(PetscArraycpy(array2,array,n));
415 165 array2[n] = 0.0;
416
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 165 PetscCall(VecRestoreArray(rr,&array2));
417
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 60 } else PetscCall(VecPlaceArray(rr,array));
418
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 225 PetscCall(KSPSolve(pep->refineksp,rr,dvv));
419
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 225 PetscCall(KSPGetConvergedReason(pep->refineksp,&reason));
420
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 225 if (reason>0) {
421
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 225 if (rank != size-1) PetscCall(VecResetArray(rr));
422
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 225 PetscCall(VecRestoreArrayRead(r,&array));
423
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 225 PetscCall(VecGetArrayRead(dvv,&array));
424
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 225 PetscCall(VecPlaceArray(dv,array));
425
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 225 PetscCall(VecAXPY(v,-1.0,dv));
426
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 225 PetscCall(VecNorm(v,NORM_2,&norm));
427
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 225 PetscCall(VecScale(v,1.0/norm));
428
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 225 PetscCall(VecResetArray(dv));
429
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 225 if (rank==size-1) pep->eigr[idx_sc[color]] -= array[n];
430
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 225 PetscCall(VecRestoreArrayRead(dvv,&array));
431 ✗ } else fail_sc[color] = 1;
432 break;
433 105 case PEP_REFINE_SCHEME_MBE:
434
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 105 PetscCall(MatMult(T,v,r));
435 /* Mixed block elimination */
436
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 105 PetscCall(VecConjugate(v));
437
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 105 PetscCall(KSPSolveTranspose(pep->refineksp,v,t[0]));
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 105 PetscCall(KSPGetConvergedReason(pep->refineksp,&reason));
439
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 105 if (reason>0) {
440
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 104 PetscCall(VecConjugate(t[0]));
441
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 104 PetscCall(VecDot(ctx->w,t[0],&tt[0]));
442
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 104 PetscCall(KSPSolve(pep->refineksp,ctx->w,t[1]));
443
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 104 PetscCall(KSPGetConvergedReason(pep->refineksp,&reason));
444
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 104 if (reason>0) {
445
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 104 PetscCall(VecDot(t[1],v,&tt[1]));
446
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 104 PetscCall(VecDot(r,t[0],&ttt));
447 104 tt[0] = ttt/tt[0];
448
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 104 PetscCall(VecAXPY(r,-tt[0],ctx->w));
449
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 104 PetscCall(KSPSolve(pep->refineksp,r,dv));
450
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 104 PetscCall(KSPGetConvergedReason(pep->refineksp,&reason));
451
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 104 if (reason>0) {
452
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 104 PetscCall(VecDot(dv,v,&ttt));
453 104 tt[1] = ttt/tt[1];
454
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 104 PetscCall(VecAXPY(dv,-tt[1],t[1]));
455 104 deig = tt[0]+tt[1];
456 }
457 }
458
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 104 PetscCall(VecConjugate(v));
459
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 104 PetscCall(VecAXPY(v,-1.0,dv));
460
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 104 PetscCall(VecNorm(v,NORM_2,&norm));
461
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 104 PetscCall(VecScale(v,1.0/norm));
462 104 pep->eigr[idx_sc[color]] -= deig;
463 104 fail_sc[color] = 0;
464 } else {
465
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 1 PetscCall(VecConjugate(v));
466 1 fail_sc[color] = 1;
467 }
468 break;
469 145 case PEP_REFINE_SCHEME_SCHUR:
470 145 fail_sc[color] = 1;
471
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 145 PetscCall(MatShellGetContext(T,&fctx));
472
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 145 if (fctx->M4!=0.0) {
473
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 145 PetscCall(MatMult(fctx->M1,v,r));
474
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 145 PetscCall(KSPSolve(pep->refineksp,r,dv));
475
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 145 PetscCall(KSPGetConvergedReason(pep->refineksp,&reason));
476
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 145 if (reason>0) {
477
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 145 PetscCall(VecDot(dv,v,&deig));
478 145 deig *= -fctx->m3/fctx->M4;
479
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 145 PetscCall(VecAXPY(v,-1.0,dv));
480
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 145 PetscCall(VecNorm(v,NORM_2,&norm));
481
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 145 PetscCall(VecScale(v,1.0/norm));
482 145 pep->eigr[idx_sc[color]] -= deig;
483 145 fail_sc[color] = 0;
484 }
485 }
486 break;
487 }
488
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 1272 if (pep->npart==1) PetscCall(BVRestoreColumn(pep->V,idx_sc[color],&v));
489 }
490 }
491
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 156 PetscCall(VecDestroy(&t[0]));
492
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 156 PetscCall(VecDestroy(&t[1]));
493
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 156 PetscCall(VecDestroy(&dv));
494
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 156 PetscCall(VecDestroy(&ctx->w));
495
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 156 PetscCall(VecDestroy(&r));
496
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 156 PetscCall(PetscFree3(idx_sc,its_sc,fail_sc));
497
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 156 PetscCall(VecScatterDestroy(&ctx->nst));
498
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 156 if (pep->npart>1) {
499
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 80 PetscCall(VecDestroy(&ctx->vg));
500
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 80 PetscCall(VecDestroy(&ctx->v));
501
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 320 for (i=0;i<pep->nmat;i++) PetscCall(MatDestroy(&ctx->A[i]));
502
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 240 for (i=0;i<pep->npart;i++) PetscCall(VecScatterDestroy(&ctx->scatter_id[i]));
503
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 80 PetscCall(PetscFree2(ctx->A,ctx->scatter_id));
504 }
505
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 156 if (fctx && pep->scheme==PEP_REFINE_SCHEME_SCHUR) {
506
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 36 PetscCall(MatDestroy(&P));
507
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 36 PetscCall(MatDestroy(&fctx->M1));
508
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 36 PetscCall(PetscFree(fctx));
509 }
510
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 156 if (pep->scheme==PEP_REFINE_SCHEME_EXPLICIT) {
511
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 80 PetscCall(MatDestroy(&Mt));
512
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 80 PetscCall(VecDestroy(&dvv));
513
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 80 PetscCall(VecDestroy(&rr));
514
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 80 PetscCall(VecDestroy(&ctx->nv));
515 }
516
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 156 PetscCall(MatDestroy(&T));
517
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 156 PetscCall(PetscFree(ctx));
518
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 156 PetscCall(PetscLogEventEnd(PEP_Refine,pep,0,0,0));
519
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 30 PetscFunctionReturn(PETSC_SUCCESS);
520 }
521