GCC Code Coverage Report


Directory: ./
File: src/nep/impls/nepdefl.c
Date: 2026-02-22 03:58:10
Exec Total Coverage
Lines: 686 721 95.1%
Functions: 23 24 95.8%
Branches: 2013 3420 58.9%

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 #include <slepc/private/nepimpl.h> /*I "slepcnep.h" I*/
12 #include <slepcblaslapack.h>
13 #include "nepdefl.h"
14
15 563 PetscErrorCode NEPDeflationGetInvariantPair(NEP_EXT_OP extop,BV *X,Mat *H)
16 {
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563 PetscFunctionBegin;
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563 if (X) *X = extop->X;
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563 if (H) PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,extop->szd+1,extop->szd+1,extop->H,H));
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134 PetscFunctionReturn(PETSC_SUCCESS);
21 }
22
23 1065 static PetscErrorCode NEPDeflationExtendInvariantPair(NEP_EXT_OP extop,Vec u,PetscScalar lambda,PetscInt k)
24 {
25 1065 Vec uu;
26 1065 PetscInt ld,i;
27 1065 PetscMPIInt np;
28 1065 PetscReal norm;
29
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1065 PetscFunctionBegin;
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1065 PetscCall(BVGetColumn(extop->X,k,&uu));
32 1065 ld = extop->szd+1;
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1065 PetscCall(NEPDeflationCopyToExtendedVec(extop,uu,extop->H+k*ld,u,PETSC_TRUE));
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1065 PetscCall(BVRestoreColumn(extop->X,k,&uu));
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1065 PetscCall(BVNormColumn(extop->X,k,NORM_2,&norm));
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1065 PetscCall(BVScaleColumn(extop->X,k,1.0/norm));
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1065 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)u),&np));
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1827 for (i=0;i<k;i++) extop->H[k*ld+i] *= PetscSqrtReal(np)/norm;
39 1065 extop->H[k*(ld+1)] = lambda;
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1065 PetscFunctionReturn(PETSC_SUCCESS);
41 }
42
43 199 PetscErrorCode NEPDeflationExtractEigenpair(NEP_EXT_OP extop,PetscInt k,Vec u,PetscScalar lambda,DS ds)
44 {
45 199 Mat A,H;
46 199 PetscInt ldh=extop->szd+1,ldds,k1=k+1;
47 199 PetscScalar *eigr,*eigi,*t,*Z;
48 199 Vec x;
49
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199 PetscFunctionBegin;
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199 PetscCall(NEPDeflationExtendInvariantPair(extop,u,lambda,k));
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199 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k1,k1,extop->H,&H));
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199 PetscCall(MatDenseSetLDA(H,ldh));
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199 PetscCall(PetscCalloc3(k1,&eigr,k1,&eigi,extop->szd,&t));
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199 PetscCall(DSReset(ds));
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199 PetscCall(DSSetType(ds,DSNHEP));
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199 PetscCall(DSAllocate(ds,ldh));
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199 PetscCall(DSGetLeadingDimension(ds,&ldds));
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199 PetscCall(DSSetDimensions(ds,k1,0,k1));
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199 PetscCall(DSGetMat(ds,DS_MAT_A,&A));
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199 PetscCall(MatCopy(H,A,SAME_NONZERO_PATTERN));
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199 PetscCall(DSRestoreMat(ds,DS_MAT_A,&A));
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199 PetscCall(MatDestroy(&H));
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199 PetscCall(DSSolve(ds,eigr,eigi));
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199 PetscCall(DSVectors(ds,DS_MAT_X,&k,NULL));
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199 PetscCall(DSGetArray(ds,DS_MAT_X,&Z));
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199 PetscCall(BVMultColumn(extop->X,1.0,Z[k*ldds+k],k,Z+k*ldds));
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199 PetscCall(DSRestoreArray(ds,DS_MAT_X,&Z));
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199 PetscCall(BVGetColumn(extop->X,k,&x));
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199 PetscCall(NEPDeflationCopyToExtendedVec(extop,x,t,u,PETSC_FALSE));
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199 PetscCall(BVRestoreColumn(extop->X,k,&x));
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199 PetscCall(PetscFree3(eigr,eigi,t));
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48 PetscFunctionReturn(PETSC_SUCCESS);
74 }
75
76 2343 PetscErrorCode NEPDeflationCopyToExtendedVec(NEP_EXT_OP extop,Vec v,PetscScalar *a,Vec vex,PetscBool back)
77 {
78 2343 PetscMPIInt np,rk,count;
79 2343 PetscScalar *array1,*array2;
80 2343 PetscInt nloc;
81
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2343 PetscFunctionBegin;
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2343 if (extop->szd) {
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1545 PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)vex),&rk));
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1545 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)vex),&np));
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1545 PetscCall(BVGetSizes(extop->nep->V,&nloc,NULL,NULL));
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1545 if (v) {
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1545 PetscCall(VecGetArray(v,&array1));
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1545 PetscCall(VecGetArray(vex,&array2));
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1545 if (back) PetscCall(PetscArraycpy(array1,array2,nloc));
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363 else PetscCall(PetscArraycpy(array2,array1,nloc));
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1545 PetscCall(VecRestoreArray(v,&array1));
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1545 PetscCall(VecRestoreArray(vex,&array2));
94 }
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1545 if (a) {
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1381 PetscCall(VecGetArray(vex,&array2));
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1381 if (back) {
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1182 PetscCall(PetscArraycpy(a,array2+nloc,extop->szd));
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1182 PetscCall(PetscMPIIntCast(extop->szd,&count));
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2364 PetscCallMPI(MPI_Bcast(a,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)vex)));
101 } else {
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199 PetscCall(PetscArraycpy(array2+nloc,a,extop->szd));
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199 PetscCall(PetscMPIIntCast(extop->szd,&count));
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398 PetscCallMPI(MPI_Bcast(array2+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)vex)));
105 }
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1381 PetscCall(VecRestoreArray(vex,&array2));
107 }
108 } else {
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798 if (back) PetscCall(VecCopy(vex,v));
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399 else PetscCall(VecCopy(v,vex));
111 }
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567 PetscFunctionReturn(PETSC_SUCCESS);
113 }
114
115 641 PetscErrorCode NEPDeflationCreateVec(NEP_EXT_OP extop,Vec *v)
116 {
117 641 PetscInt nloc;
118 641 Vec u;
119 641 VecType type;
120
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641 PetscFunctionBegin;
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641 if (extop->szd) {
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232 PetscCall(BVGetColumn(extop->nep->V,0,&u));
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232 PetscCall(VecGetType(u,&type));
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232 PetscCall(BVRestoreColumn(extop->nep->V,0,&u));
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232 PetscCall(VecCreate(PetscObjectComm((PetscObject)extop->nep),v));
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232 PetscCall(VecSetType(*v,type));
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232 PetscCall(BVGetSizes(extop->nep->V,&nloc,NULL,NULL));
129 232 nloc += extop->szd;
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232 PetscCall(VecSetSizes(*v,nloc,PETSC_DECIDE));
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409 } else PetscCall(BVCreateVec(extop->nep->V,v));
132
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152 PetscFunctionReturn(PETSC_SUCCESS);
133 }
134
135 136 PetscErrorCode NEPDeflationCreateBV(NEP_EXT_OP extop,PetscInt sz,BV *V)
136 {
137 136 PetscInt nloc;
138 136 BVType type;
139 136 BVOrthogType otype;
140 136 BVOrthogRefineType oref;
141 136 PetscReal oeta;
142 136 BVOrthogBlockType oblock;
143 136 NEP nep=extop->nep;
144 136 VecType vtype;
145
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136 PetscFunctionBegin;
147
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136 if (extop->szd) {
148
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24 PetscCall(BVGetSizes(nep->V,&nloc,NULL,NULL));
149
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24 PetscCall(BVCreate(PetscObjectComm((PetscObject)nep),V));
150
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24 PetscCall(BVSetSizes(*V,nloc+extop->szd,PETSC_DECIDE,sz));
151
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24 PetscCall(BVGetType(nep->V,&type));
152
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24 PetscCall(BVSetType(*V,type));
153
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24 PetscCall(BVGetVecType(nep->V,&vtype));
154
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24 PetscCall(BVSetVecType(*V,vtype));
155
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24 PetscCall(BVGetOrthogonalization(nep->V,&otype,&oref,&oeta,&oblock));
156
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24 PetscCall(BVSetOrthogonalization(*V,otype,oref,oeta,oblock));
157
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24 PetscCall(PetscObjectStateIncrease((PetscObject)*V));
158
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112 } else PetscCall(BVDuplicateResize(nep->V,sz,V));
159
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34 PetscFunctionReturn(PETSC_SUCCESS);
160 }
161
162 136 PetscErrorCode NEPDeflationSetRandomVec(NEP_EXT_OP extop,Vec v)
163 {
164 136 PetscInt n,next,i;
165 136 PetscRandom rand;
166 136 PetscScalar *array;
167 136 PetscMPIInt nn,np;
168
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136 PetscFunctionBegin;
170
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136 PetscCall(BVGetRandomContext(extop->nep->V,&rand));
171
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136 PetscCall(VecSetRandom(v,rand));
172
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136 if (extop->szd) {
173
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136 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)v),&np));
174
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136 PetscCall(BVGetSizes(extop->nep->V,&n,NULL,NULL));
175
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136 PetscCall(VecGetLocalSize(v,&next));
176
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136 PetscCall(VecGetArray(v,&array));
177
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200 for (i=n+extop->n;i<next;i++) array[i] = 0.0;
178
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336 for (i=n;i<n+extop->n;i++) array[i] /= PetscSqrtReal(np);
179
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136 PetscCall(PetscMPIIntCast(extop->n,&nn));
180
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272 PetscCallMPI(MPI_Bcast(array+n,nn,MPIU_SCALAR,0,PetscObjectComm((PetscObject)v)));
181
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136 PetscCall(VecRestoreArray(v,&array));
182 }
183
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34 PetscFunctionReturn(PETSC_SUCCESS);
184 }
185
186 303 static PetscErrorCode NEPDeflationEvaluateBasisMat(NEP_EXT_OP extop,PetscInt idx,PetscBool hat,PetscScalar *bval,PetscScalar *Hj,PetscScalar *Hjprev)
187 {
188 303 PetscInt i,k,n=extop->n,ldhj=extop->szd,ldh=extop->szd+1;
189 303 PetscScalar sone=1.0,zero=0.0;
190 303 PetscBLASInt ldh_,ldhj_,n_;
191
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303 PetscFunctionBegin;
193
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303 i = (idx<0)?extop->szd*extop->szd*(-idx):extop->szd*extop->szd;
194
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303 PetscCall(PetscArrayzero(Hj,i));
195
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303 PetscCall(PetscBLASIntCast(ldhj+1,&ldh_));
196
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303 PetscCall(PetscBLASIntCast(ldhj,&ldhj_));
197
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303 PetscCall(PetscBLASIntCast(n,&n_));
198
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303 if (idx<1) {
199
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760 if (!hat) for (i=0;i<extop->n;i++) Hj[i+i*ldhj] = 1.0;
200 else for (i=0;i<extop->n;i++) Hj[i+i*ldhj] = 0.0;
201 } else {
202 for (i=0;i<n;i++) extop->H[i*ldh+i] -= extop->bc[idx-1];
203 PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&sone,extop->H,&ldh_,Hjprev,&ldhj_,&zero,Hj,&ldhj_));
204 for (i=0;i<n;i++) extop->H[i*ldh+i] += extop->bc[idx-1];
205 if (hat) for (i=0;i<n;i++) Hj[i*(ldhj+1)] += bval[idx-1];
206 }
207
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303 if (idx<0) {
208 303 idx = -idx;
209
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303 for (k=1;k<idx;k++) {
210 for (i=0;i<n;i++) extop->H[i*ldh+i] -= extop->bc[k-1];
211 PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&sone,extop->H,&ldh_,Hj+(k-1)*ldhj*ldhj,&ldhj_,&zero,Hj+k*ldhj*ldhj,&ldhj_));
212 for (i=0;i<n;i++) extop->H[i*ldh+i] += extop->bc[k-1];
213 if (hat) for (i=0;i<n;i++) Hj[i*(ldhj+1)] += bval[k-1];
214 }
215 }
216
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74 PetscFunctionReturn(PETSC_SUCCESS);
217 }
218
219 866 PetscErrorCode NEPDeflationLocking(NEP_EXT_OP extop,Vec u,PetscScalar lambda)
220 {
221 866 PetscInt i;
222
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866 PetscFunctionBegin;
224
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866 PetscCall(NEPDeflationExtendInvariantPair(extop,u,lambda,extop->n));
225 866 extop->n++;
226
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866 PetscCall(BVSetActiveColumns(extop->X,0,extop->n));
227
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866 if (extop->n <= extop->szd) {
228 /* update XpX */
229
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303 PetscCall(BVDotColumn(extop->X,extop->n-1,extop->XpX+(extop->n-1)*extop->szd));
230 303 extop->XpX[(extop->n-1)*(1+extop->szd)] = 1.0;
231
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457 for (i=0;i<extop->n-1;i++) extop->XpX[i*extop->szd+extop->n-1] = PetscConj(extop->XpX[(extop->n-1)*extop->szd+i]);
232 /* determine minimality index */
233 303 extop->midx = PetscMin(extop->max_midx,extop->n);
234 /* polynominal basis coefficients */
235
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606 for (i=0;i<extop->midx;i++) extop->bc[i] = extop->nep->target;
236 /* evaluate the polynomial basis in H */
237
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303 PetscCall(NEPDeflationEvaluateBasisMat(extop,-extop->midx,PETSC_FALSE,NULL,extop->Hj,NULL));
238 }
239
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208 PetscFunctionReturn(PETSC_SUCCESS);
240 }
241
242 6321 static PetscErrorCode NEPDeflationEvaluateHatFunction(NEP_EXT_OP extop, PetscInt idx,PetscScalar lambda,PetscScalar *y,PetscScalar *hfj,PetscScalar *hfjp,PetscInt ld)
243 {
244 6321 PetscInt i,j,k,off,ini,fin,sz,ldh,n=extop->n;
245 6321 Mat A,B;
246 6321 PetscScalar *array;
247 6321 const PetscScalar *barray;
248
249
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6321 PetscFunctionBegin;
250
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6321 if (idx<0) {ini = 0; fin = extop->nep->nt;}
251 3828 else {ini = idx; fin = idx+1;}
252
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6321 if (y) sz = hfjp?n+2:n+1;
253
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6321 else sz = hfjp?3*n:2*n;
254 6321 ldh = extop->szd+1;
255
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6321 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,sz,sz,NULL,&A));
256
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6321 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,sz,sz,NULL,&B));
257
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6321 PetscCall(MatDenseGetArray(A,&array));
258
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15728 for (j=0;j<n;j++)
259
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25076 for (i=0;i<n;i++) array[j*sz+i] = extop->H[j*ldh+i];
260
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6321 PetscCall(MatDenseRestoreArrayWrite(A,&array));
261
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6321 if (y) {
262 PetscCall(MatDenseGetArray(A,&array));
263 array[extop->n*(sz+1)] = lambda;
264 if (hfjp) { array[(n+1)*sz+n] = 1.0; array[(n+1)*sz+n+1] = lambda;}
265 for (i=0;i<n;i++) array[n*sz+i] = y[i];
266 PetscCall(MatDenseRestoreArrayWrite(A,&array));
267 for (j=ini;j<fin;j++) {
268 PetscCall(FNEvaluateFunctionMat(extop->nep->f[j],A,B));
269 PetscCall(MatDenseGetArrayRead(B,&barray));
270 for (i=0;i<n;i++) hfj[j*ld+i] = barray[n*sz+i];
271 if (hfjp) for (i=0;i<n;i++) hfjp[j*ld+i] = barray[(n+1)*sz+i];
272 PetscCall(MatDenseRestoreArrayRead(B,&barray));
273 }
274 } else {
275
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6321 off = idx<0?ld*n:0;
276
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6321 PetscCall(MatDenseGetArray(A,&array));
277
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15728 for (k=0;k<n;k++) {
278 9407 array[(n+k)*sz+k] = 1.0;
279 9407 array[(n+k)*sz+n+k] = lambda;
280 }
281
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15728 if (hfjp) for (k=0;k<n;k++) {
282 9407 array[(2*n+k)*sz+n+k] = 1.0;
283 9407 array[(2*n+k)*sz+2*n+k] = lambda;
284 }
285
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6321 PetscCall(MatDenseRestoreArray(A,&array));
286
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17580 for (j=ini;j<fin;j++) {
287
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11259 PetscCall(FNEvaluateFunctionMat(extop->nep->f[j],A,B));
288
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11259 PetscCall(MatDenseGetArrayRead(B,&barray));
289
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55815 for (i=0;i<n;i++) for (k=0;k<n;k++) hfj[j*off+i*ld+k] = barray[n*sz+i*sz+k];
290
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55815 if (hfjp) for (k=0;k<n;k++) for (i=0;i<n;i++) hfjp[j*off+i*ld+k] = barray[2*n*sz+i*sz+k];
291
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11259 PetscCall(MatDenseRestoreArrayRead(B,&barray));
292 }
293 }
294
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6321 PetscCall(MatDestroy(&A));
295
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6321 PetscCall(MatDestroy(&B));
296
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1583 PetscFunctionReturn(PETSC_SUCCESS);
297 }
298
299 33162 static PetscErrorCode MatMult_NEPDeflation(Mat M,Vec x,Vec y)
300 {
301 33162 NEP_DEF_MATSHELL *matctx;
302 33162 NEP_EXT_OP extop;
303 33162 Vec x1,y1;
304 33162 PetscScalar *yy,sone=1.0,zero=0.0;
305 33162 const PetscScalar *xx;
306 33162 PetscInt nloc,i;
307 33162 PetscMPIInt np;
308 33162 PetscBLASInt n_,one=1,szd_;
309
310
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33162 PetscFunctionBegin;
311
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33162 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)M),&np));
312
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33162 PetscCall(MatShellGetContext(M,&matctx));
313 33162 extop = matctx->extop;
314
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33162 if (extop->ref) PetscCall(VecZeroEntries(y));
315
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33162 if (extop->szd) {
316 18413 x1 = matctx->w[0]; y1 = matctx->w[1];
317
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18413 PetscCall(VecGetArrayRead(x,&xx));
318
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18413 PetscCall(VecPlaceArray(x1,xx));
319
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18413 PetscCall(VecGetArray(y,&yy));
320
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18413 PetscCall(VecPlaceArray(y1,yy));
321
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18413 PetscCall(MatMult(matctx->T,x1,y1));
322
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18413 if (!extop->ref && extop->n) {
323
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9434 PetscCall(VecGetLocalSize(x1,&nloc));
324 /* copy for avoiding warning of constant array xx */
325
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22804 for (i=0;i<extop->n;i++) matctx->work[i] = xx[nloc+i]*PetscSqrtReal(np);
326
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9434 PetscCall(BVMultVec(matctx->U,1.0,1.0,y1,matctx->work));
327
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9434 PetscCall(BVDotVec(extop->X,x1,matctx->work));
328
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9434 PetscCall(PetscBLASIntCast(extop->n,&n_));
329
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9434 PetscCall(PetscBLASIntCast(extop->szd,&szd_));
330
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9434 PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,matctx->A,&szd_,matctx->work,&one,&zero,yy+nloc,&one));
331
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9434 PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,matctx->B,&szd_,xx+nloc,&one,&sone,yy+nloc,&one));
332
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22804 for (i=0;i<extop->n;i++) yy[nloc+i] /= PetscSqrtReal(np);
333 }
334
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18413 PetscCall(VecResetArray(x1));
335
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18413 PetscCall(VecRestoreArrayRead(x,&xx));
336
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18413 PetscCall(VecResetArray(y1));
337
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18413 PetscCall(VecRestoreArray(y,&yy));
338
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14749 } else PetscCall(MatMult(matctx->T,x,y));
339
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8008 PetscFunctionReturn(PETSC_SUCCESS);
340 }
341
342 static PetscErrorCode MatCreateVecs_NEPDeflation(Mat M,Vec *right,Vec *left)
343 {
344 NEP_DEF_MATSHELL *matctx;
345
346 PetscFunctionBegin;
347 PetscCall(MatShellGetContext(M,&matctx));
348 if (right) PetscCall(VecDuplicate(matctx->w[0],right));
349 if (left) PetscCall(VecDuplicate(matctx->w[0],left));
350 PetscFunctionReturn(PETSC_SUCCESS);
351 }
352
353 1339 static PetscErrorCode MatDestroy_NEPDeflation(Mat M)
354 {
355 1339 NEP_DEF_MATSHELL *matctx;
356
357
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1339 PetscFunctionBegin;
358
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1339 PetscCall(MatShellGetContext(M,&matctx));
359
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1339 if (matctx->extop->szd) {
360
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376 PetscCall(BVDestroy(&matctx->U));
361
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376 PetscCall(PetscFree4(matctx->hfj,matctx->work,matctx->A,matctx->B));
362
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376 PetscCall(VecDestroy(&matctx->w[0]));
363
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376 PetscCall(VecDestroy(&matctx->w[1]));
364 }
365
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1339 if (matctx->P != matctx->T) PetscCall(MatDestroy(&matctx->P));
366
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1339 PetscCall(MatDestroy(&matctx->T));
367
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1339 PetscCall(PetscFree(matctx));
368
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316 PetscFunctionReturn(PETSC_SUCCESS);
369 }
370
371 7683 static PetscErrorCode NEPDeflationEvaluateBasis(NEP_EXT_OP extop,PetscScalar lambda,PetscInt n,PetscScalar *val,PetscBool jacobian)
372 {
373 7683 PetscScalar p;
374 7683 PetscInt i;
375
376
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7683 PetscFunctionBegin;
377
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7683 if (!jacobian) {
378 4469 val[0] = 1.0;
379
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6429 for (i=1;i<extop->n;i++) val[i] = val[i-1]*(lambda-extop->bc[i-1]);
380 } else {
381 3214 val[0] = 0.0;
382 3214 p = 1.0;
383
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4552 for (i=1;i<extop->n;i++) {
384 1338 val[i] = val[i-1]*(lambda-extop->bc[i-1])+p;
385 1338 p *= (lambda-extop->bc[i-1]);
386 }
387 }
388
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7683 PetscFunctionReturn(PETSC_SUCCESS);
389 }
390
391 23711 static PetscErrorCode NEPDeflationComputeShellMat(NEP_EXT_OP extop,PetscScalar lambda,PetscBool jacobian,Mat *M)
392 {
393 23711 NEP_DEF_MATSHELL *matctx,*matctxC;
394 23711 PetscInt nloc,mloc,n=extop->n,j,i,szd=extop->szd,ldh=szd+1,k;
395 23711 Mat F,Mshell,Mcomp;
396 23711 PetscBool ini=PETSC_FALSE;
397 23711 PetscScalar *hf,*hfj,*hfjp,sone=1.0,*hH,*hHprev,*pts,*B,*A,*Hj=extop->Hj,*basisv,zero=0.0;
398 23711 PetscBLASInt n_,info,szd_;
399 23711 size_t len;
400
401
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23711 PetscFunctionBegin;
402
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23711 if (!M) Mshell = jacobian?extop->MJ:extop->MF;
403 925 else Mshell = *M;
404
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23711 Mcomp = jacobian?extop->MF:extop->MJ;
405
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23711 if (!Mshell) {
406 1339 ini = PETSC_TRUE;
407
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1339 PetscCall(PetscNew(&matctx));
408
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1339 PetscCall(MatGetLocalSize(extop->nep->function,&mloc,&nloc));
409 1339 nloc += szd; mloc += szd;
410
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1339 PetscCall(MatCreateShell(PetscObjectComm((PetscObject)extop->nep),nloc,mloc,PETSC_DETERMINE,PETSC_DETERMINE,matctx,&Mshell));
411
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1339 PetscCall(MatShellSetOperation(Mshell,MATOP_MULT,(PetscErrorCodeFn*)MatMult_NEPDeflation));
412
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1339 PetscCall(MatShellSetOperation(Mshell,MATOP_CREATE_VECS,(PetscErrorCodeFn*)MatCreateVecs_NEPDeflation));
413
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1339 PetscCall(MatShellSetOperation(Mshell,MATOP_DESTROY,(PetscErrorCodeFn*)MatDestroy_NEPDeflation));
414 1339 matctx->nep = extop->nep;
415 1339 matctx->extop = extop;
416
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1339 if (!M) {
417
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990 if (jacobian) { matctx->jacob = PETSC_TRUE; matctx->T = extop->nep->jacobian; extop->MJ = Mshell; }
418 563 else { matctx->jacob = PETSC_FALSE; matctx->T = extop->nep->function; extop->MF = Mshell; }
419
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990 PetscCall(PetscObjectReference((PetscObject)matctx->T));
420
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990 if (!jacobian) {
421
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563 if (extop->nep->function_pre && extop->nep->function_pre != extop->nep->function) {
422 16 matctx->P = extop->nep->function_pre;
423
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16 PetscCall(PetscObjectReference((PetscObject)matctx->P));
424 547 } else matctx->P = matctx->T;
425 }
426 } else {
427 349 matctx->jacob = jacobian;
428
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349 PetscCall(MatDuplicate(jacobian?extop->nep->jacobian:extop->nep->function,MAT_DO_NOT_COPY_VALUES,&matctx->T));
429 349 *M = Mshell;
430
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349 if (!jacobian) {
431
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349 if (extop->nep->function_pre && extop->nep->function_pre != extop->nep->function) PetscCall(MatDuplicate(extop->nep->function_pre,MAT_DO_NOT_COPY_VALUES,&matctx->P));
432 349 else matctx->P = matctx->T;
433 }
434 }
435
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1339 if (szd) {
436
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376 PetscCall(BVCreateVec(extop->nep->V,matctx->w));
437
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376 PetscCall(VecDuplicate(matctx->w[0],matctx->w+1));
438
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376 PetscCall(BVDuplicateResize(extop->nep->V,szd,&matctx->U));
439
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376 len = extop->simpU? (size_t)2*szd*szd: (size_t)2*szd*szd*extop->nep->nt;
440
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376 PetscCall(PetscMalloc4(len,&matctx->hfj,szd,&matctx->work,szd*szd,&matctx->A,szd*szd,&matctx->B));
441 }
442
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22372 } else PetscCall(MatShellGetContext(Mshell,&matctx));
443
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22372 if (ini || matctx->theta != lambda || matctx->n != extop->n) {
444
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18459 if (ini || matctx->theta != lambda) {
445
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19239 if (jacobian) PetscCall(NEPComputeJacobian(extop->nep,lambda,matctx->T));
446
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11081 else PetscCall(NEPComputeFunction(extop->nep,lambda,matctx->T,matctx->P));
447 }
448
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19295 if (n) {
449 5787 matctx->hfjset = PETSC_FALSE;
450
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5787 if (!extop->simpU) {
451 /* likely hfjp has been already computed */
452
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4341 if (Mcomp) {
453
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4037 PetscCall(MatShellGetContext(Mcomp,&matctxC));
454
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4037 if (matctxC->hfjset && matctxC->theta == lambda && matctxC->n == extop->n) {
455
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1848 PetscCall(PetscArraycpy(matctx->hfj,matctxC->hfj,2*extop->szd*extop->szd*extop->nep->nt));
456 1848 matctx->hfjset = PETSC_TRUE;
457 }
458 }
459 4341 hfj = matctx->hfj; hfjp = matctx->hfj+extop->szd*extop->szd*extop->nep->nt;
460
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4341 if (!matctx->hfjset) {
461
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2493 PetscCall(NEPDeflationEvaluateHatFunction(extop,-1,lambda,NULL,hfj,hfjp,n));
462 2493 matctx->hfjset = PETSC_TRUE;
463 }
464
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4341 PetscCall(BVSetActiveColumns(matctx->U,0,n));
465
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4341 hf = jacobian?hfjp:hfj;
466
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4341 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,hf,&F));
467
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4341 PetscCall(BVMatMult(extop->X,extop->nep->A[0],matctx->U));
468
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4341 PetscCall(BVMultInPlace(matctx->U,F,0,n));
469
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4341 PetscCall(BVSetActiveColumns(extop->W,0,extop->n));
470
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12943 for (j=1;j<extop->nep->nt;j++) {
471
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8602 PetscCall(BVMatMult(extop->X,extop->nep->A[j],extop->W));
472
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8602 PetscCall(MatDensePlaceArray(F,hf+j*n*n));
473
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8602 PetscCall(BVMult(matctx->U,1.0,1.0,extop->W,F));
474
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8602 PetscCall(MatDenseResetArray(F));
475 }
476
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4341 PetscCall(MatDestroy(&F));
477 } else {
478 1446 hfj = matctx->hfj;
479
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1446 PetscCall(BVSetActiveColumns(matctx->U,0,n));
480
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1446 PetscCall(BVMatMult(extop->X,matctx->T,matctx->U));
481
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3263 for (j=0;j<n;j++) {
482
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4376 for (i=0;i<n;i++) hfj[j*n+i] = -extop->H[j*ldh+i];
483 1817 hfj[j*(n+1)] += lambda;
484 }
485
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1446 PetscCall(PetscBLASIntCast(n,&n_));
486
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1446 PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
487
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1446 PetscCallBLAS("LAPACKtrtri",LAPACKtrtri_("U","N",&n_,hfj,&n_,&info));
488
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1446 PetscCall(PetscFPTrapPop());
489
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1446 SlepcCheckLapackInfo("trtri",info);
490
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1446 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,hfj,&F));
491
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1446 PetscCall(BVMultInPlace(matctx->U,F,0,n));
492
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1446 if (jacobian) {
493
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590 PetscCall(NEPDeflationComputeFunction(extop,lambda,NULL));
494
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590 PetscCall(MatShellGetContext(extop->MF,&matctxC));
495
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590 PetscCall(BVMult(matctx->U,-1.0,1.0,matctxC->U,F));
496 }
497
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1446 PetscCall(MatDestroy(&F));
498 }
499
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5787 PetscCall(PetscCalloc3(n,&basisv,szd*szd,&hH,szd*szd,&hHprev));
500
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5787 PetscCall(NEPDeflationEvaluateBasis(extop,lambda,n,basisv,jacobian));
501 5787 A = matctx->A;
502
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5787 PetscCall(PetscArrayzero(A,szd*szd));
503
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10556 if (!jacobian) for (i=0;i<n;i++) A[i*(szd+1)] = 1.0;
504
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13956 for (j=0;j<n;j++)
505
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21252 for (i=0;i<n;i++)
506
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13083 for (k=1;k<extop->midx;k++) A[j*szd+i] += basisv[k]*PetscConj(Hj[k*szd*szd+i*szd+j]);
507
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5787 PetscCall(PetscBLASIntCast(n,&n_));
508
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5787 PetscCall(PetscBLASIntCast(szd,&szd_));
509 5787 B = matctx->B;
510
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5787 PetscCall(PetscArrayzero(B,szd*szd));
511
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5787 for (i=1;i<extop->midx;i++) {
512 PetscCall(NEPDeflationEvaluateBasisMat(extop,i,PETSC_TRUE,basisv,hH,hHprev));
513 PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&sone,extop->XpX,&szd_,hH,&szd_,&zero,hHprev,&szd_));
514 PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&n_,&n_,&n_,&sone,extop->Hj+szd*szd*i,&szd_,hHprev,&szd_,&sone,B,&szd_));
515 pts = hHprev; hHprev = hH; hH = pts;
516 }
517
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5787 PetscCall(PetscFree3(basisv,hH,hHprev));
518 }
519 19295 matctx->theta = lambda;
520 19295 matctx->n = extop->n;
521 }
522
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5691 PetscFunctionReturn(PETSC_SUCCESS);
523 }
524
525 13860 PetscErrorCode NEPDeflationComputeFunction(NEP_EXT_OP extop,PetscScalar lambda,Mat *F)
526 {
527
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13860 PetscFunctionBegin;
528
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13860 PetscCall(NEPDeflationComputeShellMat(extop,lambda,PETSC_FALSE,NULL));
529
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13860 if (F) *F = extop->MF;
530
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3325 PetscFunctionReturn(PETSC_SUCCESS);
531 }
532
533 8158 PetscErrorCode NEPDeflationComputeJacobian(NEP_EXT_OP extop,PetscScalar lambda,Mat *J)
534 {
535
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8158 PetscFunctionBegin;
536
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8158 PetscCall(NEPDeflationComputeShellMat(extop,lambda,PETSC_TRUE,NULL));
537
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8158 if (J) *J = extop->MJ;
538
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1950 PetscFunctionReturn(PETSC_SUCCESS);
539 }
540
541 1693 PetscErrorCode NEPDeflationSolveSetUp(NEP_EXT_OP extop,PetscScalar lambda)
542 {
543 1693 NEP_DEF_MATSHELL *matctx;
544 1693 NEP_DEF_FUN_SOLVE solve;
545 1693 PetscInt i,j,n=extop->n;
546 1693 Vec u,tu;
547 1693 Mat F;
548 1693 PetscScalar snone=-1.0,sone=1.0;
549 1693 PetscBLASInt n_,szd_,ldh_,*p,info;
550 1693 Mat Mshell;
551
552
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1693 PetscFunctionBegin;
553 1693 solve = extop->solve;
554
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1693 if (lambda!=solve->theta || n!=solve->n) {
555
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1693 PetscCall(NEPDeflationComputeShellMat(extop,lambda,PETSC_FALSE,solve->sincf?NULL:&solve->T));
556
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1693 Mshell = (solve->sincf)?extop->MF:solve->T;
557
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1693 PetscCall(MatShellGetContext(Mshell,&matctx));
558
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1693 PetscCall(NEP_KSPSetOperators(solve->ksp,matctx->T,matctx->P));
559
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1693 if (!extop->ref && n) {
560
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586 PetscCall(PetscBLASIntCast(n,&n_));
561
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586 PetscCall(PetscBLASIntCast(extop->szd,&szd_));
562
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586 PetscCall(PetscBLASIntCast(extop->szd+1,&ldh_));
563
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586 if (!extop->simpU) {
564
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468 PetscCall(BVSetActiveColumns(solve->T_1U,0,n));
565
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1201 for (i=0;i<n;i++) {
566
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733 PetscCall(BVGetColumn(matctx->U,i,&u));
567
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733 PetscCall(BVGetColumn(solve->T_1U,i,&tu));
568
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733 PetscCall(KSPSolve(solve->ksp,u,tu));
569
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733 PetscCall(BVRestoreColumn(solve->T_1U,i,&tu));
570
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733 PetscCall(BVRestoreColumn(matctx->U,i,&u));
571 }
572
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468 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,solve->work,&F));
573
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468 PetscCall(BVDot(solve->T_1U,extop->X,F));
574
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468 PetscCall(MatDestroy(&F));
575 } else {
576
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285 for (j=0;j<n;j++)
577
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432 for (i=0;i<n;i++) solve->work[j*n+i] = extop->XpX[j*extop->szd+i];
578
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285 for (i=0;i<n;i++) extop->H[i*ldh_+i] -= lambda;
579
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118 PetscCallBLAS("BLAStrsm",BLAStrsm_("R","U","N","N",&n_,&n_,&snone,extop->H,&ldh_,solve->work,&n_));
580
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285 for (i=0;i<n;i++) extop->H[i*ldh_+i] += lambda;
581 }
582
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586 PetscCall(PetscArraycpy(solve->M,matctx->B,extop->szd*extop->szd));
583
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586 PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&snone,matctx->A,&szd_,solve->work,&n_,&sone,solve->M,&szd_));
584
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586 PetscCall(PetscMalloc1(n,&p));
585
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586 PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
586
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586 PetscCallBLAS("LAPACKgetrf",LAPACKgetrf_(&n_,&n_,solve->M,&szd_,p,&info));
587
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586 SlepcCheckLapackInfo("getrf",info);
588
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586 PetscCallBLAS("LAPACKgetri",LAPACKgetri_(&n_,solve->M,&szd_,p,solve->work,&n_,&info));
589
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586 SlepcCheckLapackInfo("getri",info);
590
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586 PetscCall(PetscFPTrapPop());
591
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586 PetscCall(PetscFree(p));
592 }
593 1693 solve->theta = lambda;
594 1693 solve->n = n;
595 }
596
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416 PetscFunctionReturn(PETSC_SUCCESS);
597 }
598
599 27470 PetscErrorCode NEPDeflationFunctionSolve(NEP_EXT_OP extop,Vec b,Vec x)
600 {
601 27470 Vec b1,x1;
602 27470 PetscScalar *xx,*bb,*x2,*b2,*w,*w2,snone=-1.0,sone=1.0,zero=0.0;
603 27470 NEP_DEF_MATSHELL *matctx;
604 27470 NEP_DEF_FUN_SOLVE solve=extop->solve;
605 27470 PetscBLASInt one=1,szd_,n_,ldh_;
606 27470 PetscInt nloc,i;
607 27470 PetscMPIInt np,count;
608
609
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27470 PetscFunctionBegin;
610
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27470 if (extop->ref) PetscCall(VecZeroEntries(x));
611
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27470 if (extop->szd) {
612 17471 x1 = solve->w[0]; b1 = solve->w[1];
613
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17471 PetscCall(VecGetArray(x,&xx));
614
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17471 PetscCall(VecPlaceArray(x1,xx));
615
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17471 PetscCall(VecGetArray(b,&bb));
616
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17471 PetscCall(VecPlaceArray(b1,bb));
617 } else {
618 b1 = b; x1 = x;
619 }
620
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27470 PetscCall(KSPSolve(extop->solve->ksp,b1,x1));
621
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27470 if (!extop->ref && extop->n && extop->szd) {
622
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8993 PetscCall(PetscBLASIntCast(extop->szd,&szd_));
623
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8993 PetscCall(PetscBLASIntCast(extop->n,&n_));
624
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8993 PetscCall(PetscBLASIntCast(extop->szd+1,&ldh_));
625
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8993 PetscCall(BVGetSizes(extop->nep->V,&nloc,NULL,NULL));
626
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8993 PetscCall(PetscMalloc2(extop->n,&b2,extop->n,&x2));
627
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8993 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)b),&np));
628
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21682 for (i=0;i<extop->n;i++) b2[i] = bb[nloc+i]*PetscSqrtReal(np);
629 8993 w = solve->work; w2 = solve->work+extop->n;
630
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8993 PetscCall(MatShellGetContext(solve->sincf?extop->MF:solve->T,&matctx));
631
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8993 PetscCall(PetscArraycpy(w2,b2,extop->n));
632
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8993 PetscCall(BVDotVec(extop->X,x1,w));
633
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8993 PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&snone,matctx->A,&szd_,w,&one,&sone,w2,&one));
634
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8993 PetscCallBLAS("BLASgemv",BLASgemv_("N",&n_,&n_,&sone,solve->M,&szd_,w2,&one,&zero,x2,&one));
635
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8993 if (extop->simpU) {
636
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4608 for (i=0;i<extop->n;i++) extop->H[i+i*(extop->szd+1)] -= solve->theta;
637
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4608 for (i=0;i<extop->n;i++) w[i] = x2[i];
638
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2032 PetscCallBLAS("BLAStrsm",BLAStrsm_("L","U","N","N",&n_,&one,&snone,extop->H,&ldh_,w,&n_));
639
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4608 for (i=0;i<extop->n;i++) extop->H[i+i*(extop->szd+1)] += solve->theta;
640
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2032 PetscCall(BVMultVec(extop->X,-1.0,1.0,x1,w));
641
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6961 } else PetscCall(BVMultVec(solve->T_1U,-1.0,1.0,x1,x2));
642
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21682 for (i=0;i<extop->n;i++) xx[i+nloc] = x2[i]/PetscSqrtReal(np);
643
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8993 PetscCall(PetscMPIIntCast(extop->n,&count));
644
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17986 PetscCallMPI(MPI_Bcast(xx+nloc,count,MPIU_SCALAR,np-1,PetscObjectComm((PetscObject)b)));
645 }
646
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27470 if (extop->szd) {
647
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17471 PetscCall(VecResetArray(x1));
648
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17471 PetscCall(VecRestoreArray(x,&xx));
649
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17471 PetscCall(VecResetArray(b1));
650
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17471 PetscCall(VecRestoreArray(b,&bb));
651
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17471 if (!extop->ref && extop->n) PetscCall(PetscFree2(b2,x2));
652 }
653
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6592 PetscFunctionReturn(PETSC_SUCCESS);
654 }
655
656 881 PetscErrorCode NEPDeflationSetRefine(NEP_EXT_OP extop,PetscBool ref)
657 {
658
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881 PetscFunctionBegin;
659 881 extop->ref = ref;
660
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881 PetscFunctionReturn(PETSC_SUCCESS);
661 }
662
663 1126 PetscErrorCode NEPDeflationReset(NEP_EXT_OP extop)
664 {
665 1126 PetscInt j;
666 1126 NEP_DEF_FUN_SOLVE solve;
667
668
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1126 PetscFunctionBegin;
669
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1126 if (!extop) PetscFunctionReturn(PETSC_SUCCESS);
670
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563 PetscCall(PetscFree(extop->H));
671
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563 PetscCall(BVDestroy(&extop->X));
672
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563 if (extop->szd) {
673
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164 PetscCall(VecDestroy(&extop->w));
674
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164 PetscCall(PetscFree3(extop->Hj,extop->XpX,extop->bc));
675
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164 PetscCall(BVDestroy(&extop->W));
676 }
677
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563 PetscCall(MatDestroy(&extop->MF));
678
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563 PetscCall(MatDestroy(&extop->MJ));
679
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563 if (extop->solve) {
680 563 solve = extop->solve;
681
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563 if (extop->szd) {
682
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164 if (!extop->simpU) PetscCall(BVDestroy(&solve->T_1U));
683
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164 PetscCall(PetscFree2(solve->M,solve->work));
684
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164 PetscCall(VecDestroy(&solve->w[0]));
685
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164 PetscCall(VecDestroy(&solve->w[1]));
686 }
687
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563 if (!solve->sincf) PetscCall(MatDestroy(&solve->T));
688
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563 PetscCall(PetscFree(extop->solve));
689 }
690
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563 if (extop->proj) {
691
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136 if (extop->szd) {
692
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96 for (j=0;j<extop->nep->nt;j++) PetscCall(MatDestroy(&extop->proj->V1pApX[j]));
693
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24 PetscCall(MatDestroy(&extop->proj->XpV1));
694
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24 PetscCall(PetscFree3(extop->proj->V2,extop->proj->V1pApX,extop->proj->work));
695
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24 PetscCall(VecDestroy(&extop->proj->w));
696
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24 PetscCall(BVDestroy(&extop->proj->V1));
697 }
698
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136 PetscCall(PetscFree(extop->proj));
699 }
700
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563 PetscCall(PetscFree(extop));
701
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134 PetscFunctionReturn(PETSC_SUCCESS);
702 }
703
704 563 PetscErrorCode NEPDeflationInitialize(NEP nep,BV X,KSP ksp,PetscBool sincfun,PetscInt sz,NEP_EXT_OP *extop)
705 {
706 563 NEP_EXT_OP op;
707 563 NEP_DEF_FUN_SOLVE solve;
708 563 PetscInt szd;
709 563 Vec x;
710
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563 PetscFunctionBegin;
712
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563 PetscCall(NEPDeflationReset(*extop));
713
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563 PetscCall(PetscNew(&op));
714 563 *extop = op;
715 563 op->nep = nep;
716 563 op->n = 0;
717 563 op->szd = szd = sz-1;
718 563 op->max_midx = PetscMin(MAX_MINIDX,szd);
719 563 op->X = X;
720
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563 if (!X) PetscCall(BVDuplicateResize(nep->V,sz,&op->X));
721
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563 else PetscCall(PetscObjectReference((PetscObject)X));
722
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563 PetscCall(PetscCalloc1(sz*sz,&(op)->H));
723
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563 if (op->szd) {
724
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164 PetscCall(BVGetColumn(op->X,0,&x));
725
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164 PetscCall(VecDuplicate(x,&op->w));
726
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164 PetscCall(BVRestoreColumn(op->X,0,&x));
727 164 op->simpU = PETSC_FALSE;
728
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164 if (nep->fui==NEP_USER_INTERFACE_SPLIT) {
729 /* undocumented option to use the simple expression for U = T*X*inv(lambda-H) */
730
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143 PetscCall(PetscOptionsGetBool(NULL,NULL,"-nep_deflation_simpleu",&op->simpU,NULL));
731 } else {
732 21 op->simpU = PETSC_TRUE;
733 }
734
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164 PetscCall(PetscCalloc3(szd*szd*op->max_midx,&(op)->Hj,szd*szd,&(op)->XpX,szd,&op->bc));
735
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164 PetscCall(BVDuplicateResize(op->X,op->szd,&op->W));
736 }
737
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563 if (ksp) {
738
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563 PetscCall(PetscNew(&solve));
739 563 op->solve = solve;
740 563 solve->ksp = ksp;
741 563 solve->sincf = sincfun;
742 563 solve->n = -1;
743
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563 if (op->szd) {
744
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164 if (!op->simpU) PetscCall(BVDuplicateResize(nep->V,szd,&solve->T_1U));
745
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164 PetscCall(PetscMalloc2(szd*szd,&solve->M,2*szd*szd,&solve->work));
746
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164 PetscCall(BVCreateVec(nep->V,&solve->w[0]));
747
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164 PetscCall(VecDuplicate(solve->w[0],&solve->w[1]));
748 }
749 }
750
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134 PetscFunctionReturn(PETSC_SUCCESS);
751 }
752
753 7244 static PetscErrorCode NEPDeflationDSNEPComputeMatrix(DS ds,PetscScalar lambda,PetscBool deriv,DSMatType mat,void *ctx)
754 {
755 7244 Mat A,Ei;
756 7244 PetscScalar *T,*w1,*w2,*w=NULL,*ww,*hH,*hHprev,*pts;
757 7244 PetscScalar alpha,alpha2,*AB,sone=1.0,zero=0.0,*basisv,s;
758 7244 const PetscScalar *E;
759 7244 PetscInt i,ldds,nwork=0,szd,nv,j,k,n;
760 7244 PetscBLASInt inc=1,nv_,ldds_,dim_,szdk,szd_,n_,ldh_;
761 7244 PetscMPIInt np;
762 7244 NEP_DEF_PROJECT proj=(NEP_DEF_PROJECT)ctx;
763 7244 NEP_EXT_OP extop=proj->extop;
764 7244 NEP nep=extop->nep;
765
766
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7244 PetscFunctionBegin;
767
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7244 PetscCall(DSGetDimensions(ds,&nv,NULL,NULL,NULL));
768
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7244 PetscCall(DSGetLeadingDimension(ds,&ldds));
769
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7244 PetscCall(DSGetMat(ds,mat,&A));
770
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7244 PetscCall(MatZeroEntries(A));
771 /* mat = V1^*T(lambda)V1 */
772
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28976 for (i=0;i<nep->nt;i++) {
773
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21732 if (deriv) PetscCall(FNEvaluateDerivative(nep->f[i],lambda,&alpha));
774
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12924 else PetscCall(FNEvaluateFunction(nep->f[i],lambda,&alpha));
775
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21732 PetscCall(DSGetMat(ds,DSMatExtra[i],&Ei));
776
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21732 PetscCall(MatAXPY(A,alpha,Ei,SAME_NONZERO_PATTERN));
777
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21732 PetscCall(DSRestoreMat(ds,DSMatExtra[i],&Ei));
778 }
779
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7244 PetscCall(DSRestoreMat(ds,mat,&A));
780
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7244 if (!extop->ref && extop->n) {
781
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1896 PetscCall(DSGetArray(ds,mat,&T));
782 1896 n = extop->n;
783 1896 szd = extop->szd;
784
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1896 PetscCall(PetscArrayzero(proj->work,proj->lwork));
785
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1896 PetscCall(PetscBLASIntCast(nv,&nv_));
786
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1896 PetscCall(PetscBLASIntCast(n,&n_));
787
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1896 PetscCall(PetscBLASIntCast(ldds,&ldds_));
788
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1896 PetscCall(PetscBLASIntCast(szd,&szd_));
789
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1896 PetscCall(PetscBLASIntCast(proj->dim,&dim_));
790
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1896 PetscCall(PetscBLASIntCast(extop->szd+1,&ldh_));
791 1896 w1 = proj->work; w2 = proj->work+proj->dim*proj->dim;
792 1896 nwork += 2*proj->dim*proj->dim;
793
794 /* mat = mat + V1^*U(lambda)V2 */
795
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7584 for (i=0;i<nep->nt;i++) {
796
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5688 if (extop->simpU) {
797
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1860 if (deriv) PetscCall(FNEvaluateDerivative(nep->f[i],lambda,&alpha));
798
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1116 else PetscCall(FNEvaluateFunction(nep->f[i],lambda,&alpha));
799 1860 ww = w1; w = w2;
800
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1860 PetscCall(PetscArraycpy(ww,proj->V2,szd*nv));
801
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1860 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)ds),&np));
802
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18300 for (j=0;j<szd*nv;j++) ww[j] *= PetscSqrtReal(np);
803
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4560 for (j=0;j<n;j++) extop->H[j*ldh_+j] -= lambda;
804 1860 alpha = -alpha;
805
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1860 PetscCallBLAS("BLAStrsm",BLAStrsm_("L","U","N","N",&n_,&nv_,&alpha,extop->H,&ldh_,ww,&szd_));
806
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1860 if (deriv) {
807
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744 PetscCall(PetscBLASIntCast(szd*nv,&szdk));
808
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744 PetscCall(FNEvaluateFunction(nep->f[i],lambda,&alpha2));
809
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744 PetscCall(PetscArraycpy(w,proj->V2,szd*nv));
810
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7320 for (j=0;j<szd*nv;j++) w[j] *= PetscSqrtReal(np);
811 744 alpha2 = -alpha2;
812
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744 PetscCallBLAS("BLAStrsm",BLAStrsm_("L","U","N","N",&n_,&nv_,&alpha2,extop->H,&ldh_,w,&szd_));
813 744 alpha2 = 1.0;
814
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744 PetscCallBLAS("BLAStrsm",BLAStrsm_("L","U","N","N",&n_,&nv_,&alpha2,extop->H,&ldh_,w,&szd_));
815
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744 PetscCallBLAS("BLASaxpy",BLASaxpy_(&szdk,&sone,w,&inc,ww,&inc));
816 }
817
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4560 for (j=0;j<n;j++) extop->H[j*ldh_+j] += lambda;
818 } else {
819
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3828 PetscCall(NEPDeflationEvaluateHatFunction(extop,i,lambda,NULL,w1,w2,szd));
820
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4104 w = deriv?w2:w1; ww = deriv?w1:w2;
821
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3828 PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)ds),&np));
822 3828 s = PetscSqrtReal(np);
823
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3828 PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&nv_,&n_,&s,w,&szd_,proj->V2,&szd_,&zero,ww,&szd_));
824 }
825
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5688 PetscCall(MatDenseGetArrayRead(proj->V1pApX[i],&E));
826
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5688 PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&nv_,&nv_,&n_,&sone,E,&dim_,ww,&szd_,&sone,T,&ldds_));
827
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5688 PetscCall(MatDenseRestoreArrayRead(proj->V1pApX[i],&E));
828 }
829
830 /* mat = mat + V2^*A(lambda)V1 */
831 1896 basisv = proj->work+nwork; nwork += szd;
832 1896 hH = proj->work+nwork; nwork += szd*szd;
833 1896 hHprev = proj->work+nwork; nwork += szd*szd;
834 1896 AB = proj->work+nwork;
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1896 PetscCall(NEPDeflationEvaluateBasis(extop,lambda,n,basisv,deriv));
836
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3556 if (!deriv) for (i=0;i<n;i++) AB[i*(szd+1)] = 1.0;
837
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4708 for (j=0;j<n;j++)
838
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7456 for (i=0;i<n;i++)
839
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4644 for (k=1;k<extop->midx;k++) AB[j*szd+i] += basisv[k]*PetscConj(extop->Hj[k*szd*szd+i*szd+j]);
840
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1896 PetscCall(MatDenseGetArrayRead(proj->XpV1,&E));
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1896 PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&nv_,&n_,&sone,AB,&szd_,E,&szd_,&zero,w,&szd_));
842
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1896 PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&nv_,&nv_,&n_,&sone,proj->V2,&szd_,w,&szd_,&sone,T,&ldds_));
843
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1896 PetscCall(MatDenseRestoreArrayRead(proj->XpV1,&E));
844
845 /* mat = mat + V2^*B(lambda)V2 */
846
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1896 PetscCall(PetscArrayzero(AB,szd*szd));
847
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1896 for (i=1;i<extop->midx;i++) {
848 PetscCall(NEPDeflationEvaluateBasisMat(extop,i,PETSC_TRUE,basisv,hH,hHprev));
849 PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&n_,&n_,&sone,extop->XpX,&szd_,hH,&szd_,&zero,hHprev,&szd_));
850 PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&n_,&n_,&n_,&sone,extop->Hj+szd*szd*i,&szd_,hHprev,&szd_,&sone,AB,&szd_));
851 pts = hHprev; hHprev = hH; hH = pts;
852 }
853
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1896 PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&n_,&nv_,&n_,&sone,AB,&szd_,proj->V2,&szd_,&zero,w,&szd_));
854
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1896 PetscCallBLAS("BLASgemm",BLASgemm_("C","N",&nv_,&nv_,&n_,&sone,proj->V2,&szd_,w,&szd_,&sone,T,&ldds_));
855
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1896 PetscCall(DSRestoreArray(ds,mat,&T));
856 }
857
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1811 PetscFunctionReturn(PETSC_SUCCESS);
858 }
859
860 1372 PetscErrorCode NEPDeflationProjectOperator(NEP_EXT_OP extop,BV Vext,DS ds,PetscInt j0,PetscInt j1)
861 {
862 1372 PetscInt k,j,n=extop->n,dim;
863 1372 Vec v,ve;
864 1372 BV V1;
865 1372 Mat G;
866 1372 NEP nep=extop->nep;
867 1372 NEP_DEF_PROJECT proj;
868
869
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1372 PetscFunctionBegin;
870
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1372 NEPCheckSplit(extop->nep,1);
871 1372 proj = extop->proj;
872
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1372 if (!proj) {
873 /* Initialize the projection data structure */
874
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136 PetscCall(PetscNew(&proj));
875 136 extop->proj = proj;
876 136 proj->extop = extop;
877
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136 PetscCall(BVGetSizes(Vext,NULL,NULL,&dim));
878 136 proj->dim = dim;
879
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136 if (extop->szd) {
880 24 proj->lwork = 3*dim*dim+2*extop->szd*extop->szd+extop->szd;
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24 PetscCall(PetscMalloc3(dim*extop->szd,&proj->V2,nep->nt,&proj->V1pApX,proj->lwork,&proj->work));
882
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96 for (j=0;j<nep->nt;j++) PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,proj->dim,extop->szd,NULL,&proj->V1pApX[j]));
883
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24 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,extop->szd,proj->dim,NULL,&proj->XpV1));
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24 PetscCall(BVCreateVec(extop->X,&proj->w));
885
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24 PetscCall(BVDuplicateResize(extop->X,proj->dim,&proj->V1));
886 }
887
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136 PetscCall(DSNEPSetComputeMatrixFunction(ds,NEPDeflationDSNEPComputeMatrix,(PetscCtx)proj,NULL));
888 }
889
890 /* Split Vext in V1 and V2 */
891
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1372 if (extop->szd) {
892
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1032 for (j=j0;j<j1;j++) {
893
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516 PetscCall(BVGetColumn(Vext,j,&ve));
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516 PetscCall(BVGetColumn(proj->V1,j,&v));
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516 PetscCall(NEPDeflationCopyToExtendedVec(extop,v,proj->V2+j*extop->szd,ve,PETSC_TRUE));
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516 PetscCall(BVRestoreColumn(proj->V1,j,&v));
897
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516 PetscCall(BVRestoreColumn(Vext,j,&ve));
898 }
899 516 V1 = proj->V1;
900 } else V1 = Vext;
901
902 /* Compute matrices V1^* A_i V1 */
903
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1372 PetscCall(BVSetActiveColumns(V1,j0,j1));
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5488 for (k=0;k<nep->nt;k++) {
905
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4116 PetscCall(DSGetMat(ds,DSMatExtra[k],&G));
906
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4116 PetscCall(BVMatProject(V1,nep->A[k],V1,G));
907
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4116 PetscCall(DSRestoreMat(ds,DSMatExtra[k],&G));
908 }
909
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1372 if (extop->n) {
911
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344 if (extop->szd) {
912 /* Compute matrices V1^* A_i X and V1^* X */
913
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344 PetscCall(BVSetActiveColumns(extop->W,0,n));
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1376 for (k=0;k<nep->nt;k++) {
915
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1032 PetscCall(BVMatMult(extop->X,nep->A[k],extop->W));
916
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1032 PetscCall(BVDot(extop->W,V1,proj->V1pApX[k]));
917 }
918
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344 PetscCall(BVDot(V1,extop->X,proj->XpV1));
919 }
920 }
921
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343 PetscFunctionReturn(PETSC_SUCCESS);
922 }
923