| 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 | SLEPc eigensolver: "ciss" | ||
| 12 | |||
| 13 | Method: Contour Integral Spectral Slicing | ||
| 14 | |||
| 15 | Algorithm: | ||
| 16 | |||
| 17 | Contour integral based on Sakurai-Sugiura method to construct a | ||
| 18 | subspace, with various eigenpair extractions (Rayleigh-Ritz, | ||
| 19 | explicit moment). | ||
| 20 | |||
| 21 | Based on code contributed by Y. Maeda, T. Sakurai. | ||
| 22 | |||
| 23 | References: | ||
| 24 | |||
| 25 | [1] J. Asakura, T. Sakurai, H. Tadano, T. Ikegami, K. Kimura, "A | ||
| 26 | numerical method for polynomial eigenvalue problems using contour | ||
| 27 | integral", Japan J. Indust. Appl. Math. 27:73-90, 2010. | ||
| 28 | */ | ||
| 29 | |||
| 30 | #include <slepc/private/pepimpl.h> /*I "slepcpep.h" I*/ | ||
| 31 | #include <slepc/private/slepccontour.h> | ||
| 32 | |||
| 33 | typedef struct { | ||
| 34 | /* parameters */ | ||
| 35 | PetscInt N; /* number of integration points (32) */ | ||
| 36 | PetscInt L; /* block size (16) */ | ||
| 37 | PetscInt M; /* moment degree (N/4 = 4) */ | ||
| 38 | PetscReal delta; /* threshold of singular value (1e-12) */ | ||
| 39 | PetscInt L_max; /* maximum number of columns of the source matrix V */ | ||
| 40 | PetscReal spurious_threshold; /* discard spurious eigenpairs */ | ||
| 41 | PetscBool isreal; /* T(z) is real for real z */ | ||
| 42 | PetscInt npart; /* number of partitions */ | ||
| 43 | PetscInt refine_inner; | ||
| 44 | PetscInt refine_blocksize; | ||
| 45 | PEPCISSExtraction extraction; | ||
| 46 | /* private data */ | ||
| 47 | SlepcContourData contour; | ||
| 48 | PetscReal *sigma; /* threshold for numerical rank */ | ||
| 49 | PetscScalar *weight; | ||
| 50 | PetscScalar *omega; | ||
| 51 | PetscScalar *pp; | ||
| 52 | BV V; | ||
| 53 | BV S; | ||
| 54 | BV Y; | ||
| 55 | PetscBool useconj; | ||
| 56 | Mat J,*Psplit; /* auxiliary matrices */ | ||
| 57 | BV pV; | ||
| 58 | PetscObjectId rgid; | ||
| 59 | PetscObjectState rgstate; | ||
| 60 | } PEP_CISS; | ||
| 61 | |||
| 62 | 4360 | static PetscErrorCode PEPComputeFunction(PEP pep,PetscScalar lambda,Mat T,Mat P,PetscBool deriv) | |
| 63 | { | ||
| 64 | 4360 | PetscInt i; | |
| 65 | 4360 | PetscScalar *coeff; | |
| 66 | 4360 | Mat *A,*K; | |
| 67 | 4360 | MatStructure str,strp; | |
| 68 | 4360 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 69 | 4360 | SlepcContourData contour = ctx->contour; | |
| 70 | |||
| 71 |
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4360 | PetscFunctionBegin; |
| 72 |
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4360 | A = (contour->pA)?contour->pA:pep->A; |
| 73 |
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4360 | K = (contour->pP)?contour->pP:ctx->Psplit; |
| 74 |
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4360 | PetscCall(PetscMalloc1(pep->nmat,&coeff)); |
| 75 |
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4360 | if (deriv) PetscCall(PEPEvaluateBasisDerivative(pep,lambda,0,coeff,NULL)); |
| 76 |
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1860 | else PetscCall(PEPEvaluateBasis(pep,lambda,0,coeff,NULL)); |
| 77 |
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4360 | PetscCall(STGetMatStructure(pep->st,&str)); |
| 78 |
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4360 | PetscCall(MatZeroEntries(T)); |
| 79 |
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4360 | if (!deriv && T != P) { |
| 80 |
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320 | PetscCall(STGetSplitPreconditionerInfo(pep->st,NULL,&strp)); |
| 81 |
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320 | PetscCall(MatZeroEntries(P)); |
| 82 | } | ||
| 83 | 4360 | i = deriv?1:0; | |
| 84 |
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21260 | for (;i<pep->nmat;i++) { |
| 85 |
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16900 | PetscCall(MatAXPY(T,coeff[i],A[i],str)); |
| 86 |
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16900 | if (!deriv && T != P) PetscCall(MatAXPY(P,coeff[i],K[i],strp)); |
| 87 | } | ||
| 88 |
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4360 | PetscCall(PetscFree(coeff)); |
| 89 |
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872 | PetscFunctionReturn(PETSC_SUCCESS); |
| 90 | } | ||
| 91 | |||
| 92 | /* | ||
| 93 | Set up KSP solvers for every integration point | ||
| 94 | */ | ||
| 95 | 65 | static PetscErrorCode PEPCISSSetUp(PEP pep,Mat T,Mat P) | |
| 96 | { | ||
| 97 | 65 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 98 | 65 | SlepcContourData contour; | |
| 99 | 65 | PetscInt i,p_id; | |
| 100 | 65 | Mat Amat,Pmat; | |
| 101 | |||
| 102 |
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65 | PetscFunctionBegin; |
| 103 |
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65 | if (!ctx->contour || !ctx->contour->ksp) PetscCall(PEPCISSGetKSPs(pep,NULL,NULL)); |
| 104 | 65 | contour = ctx->contour; | |
| 105 |
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65 | PetscAssert(ctx->contour && ctx->contour->ksp,PetscObjectComm((PetscObject)pep),PETSC_ERR_PLIB,"Something went wrong with PEPCISSGetKSPs()"); |
| 106 |
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1925 | for (i=0;i<contour->npoints;i++) { |
| 107 | 1860 | p_id = i*contour->subcomm->n + contour->subcomm->color; | |
| 108 |
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1860 | PetscCall(MatDuplicate(T,MAT_DO_NOT_COPY_VALUES,&Amat)); |
| 109 |
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1860 | if (T != P) PetscCall(MatDuplicate(P,MAT_DO_NOT_COPY_VALUES,&Pmat)); else Pmat = Amat; |
| 110 |
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1860 | PetscCall(PEPComputeFunction(pep,ctx->omega[p_id],Amat,Pmat,PETSC_FALSE)); |
| 111 |
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1860 | PetscCall(PEP_KSPSetOperators(contour->ksp[i],Amat,Pmat)); |
| 112 |
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1860 | PetscCall(MatDestroy(&Amat)); |
| 113 |
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1860 | if (T != P) PetscCall(MatDestroy(&Pmat)); |
| 114 | } | ||
| 115 |
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13 | PetscFunctionReturn(PETSC_SUCCESS); |
| 116 | } | ||
| 117 | |||
| 118 | /* | ||
| 119 | Y_i = F(z_i)^{-1}Fp(z_i)V for every integration point, Y=[Y_i] is in the context | ||
| 120 | */ | ||
| 121 | 85 | static PetscErrorCode PEPCISSSolve(PEP pep,Mat dT,BV V,PetscInt L_start,PetscInt L_end) | |
| 122 | { | ||
| 123 | 85 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 124 | 85 | SlepcContourData contour; | |
| 125 | 85 | PetscInt i,p_id; | |
| 126 | 85 | Mat MV,BMV=NULL,MC; | |
| 127 | |||
| 128 |
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85 | PetscFunctionBegin; |
| 129 | 85 | contour = ctx->contour; | |
| 130 |
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85 | PetscCall(BVSetActiveColumns(V,L_start,L_end)); |
| 131 |
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85 | PetscCall(BVGetMat(V,&MV)); |
| 132 |
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2585 | for (i=0;i<contour->npoints;i++) { |
| 133 | 2500 | p_id = i*contour->subcomm->n + contour->subcomm->color; | |
| 134 |
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2500 | PetscCall(PEPComputeFunction(pep,ctx->omega[p_id],dT,NULL,PETSC_TRUE)); |
| 135 |
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2500 | PetscCall(BVSetActiveColumns(ctx->Y,i*ctx->L+L_start,i*ctx->L+L_end)); |
| 136 |
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2500 | PetscCall(BVGetMat(ctx->Y,&MC)); |
| 137 |
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2500 | if (!i) { |
| 138 |
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85 | PetscCall(MatProductCreate(dT,MV,NULL,&BMV)); |
| 139 |
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85 | PetscCall(MatProductSetType(BMV,MATPRODUCT_AB)); |
| 140 |
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85 | PetscCall(MatProductSetFromOptions(BMV)); |
| 141 |
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85 | PetscCall(MatProductSymbolic(BMV)); |
| 142 | } | ||
| 143 |
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2500 | PetscCall(MatProductNumeric(BMV)); |
| 144 |
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2500 | PetscCall(KSPMatSolve(contour->ksp[i],BMV,MC)); |
| 145 |
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2500 | PetscCall(BVRestoreMat(ctx->Y,&MC)); |
| 146 | } | ||
| 147 |
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85 | PetscCall(MatDestroy(&BMV)); |
| 148 |
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85 | PetscCall(BVRestoreMat(V,&MV)); |
| 149 |
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17 | PetscFunctionReturn(PETSC_SUCCESS); |
| 150 | } | ||
| 151 | |||
| 152 | 65 | static PetscErrorCode PEPSetUp_CISS(PEP pep) | |
| 153 | { | ||
| 154 | 65 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 155 | 65 | SlepcContourData contour; | |
| 156 | 65 | PetscInt i,nwork,nsplit; | |
| 157 | 65 | PetscBool istrivial,isellipse,flg; | |
| 158 | 65 | PetscObjectId id; | |
| 159 | 65 | PetscObjectState state; | |
| 160 | 65 | Vec v0; | |
| 161 | |||
| 162 |
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65 | PetscFunctionBegin; |
| 163 |
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65 | if (pep->ncv==PETSC_DETERMINE) pep->ncv = ctx->L_max*ctx->M; |
| 164 | else { | ||
| 165 | ✗ | ctx->L_max = pep->ncv/ctx->M; | |
| 166 | ✗ | if (!ctx->L_max) { | |
| 167 | ✗ | ctx->L_max = 1; | |
| 168 | ✗ | pep->ncv = ctx->L_max*ctx->M; | |
| 169 | } | ||
| 170 | } | ||
| 171 | 65 | ctx->L = PetscMin(ctx->L,ctx->L_max); | |
| 172 |
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65 | if (pep->max_it==PETSC_DETERMINE) pep->max_it = 5; |
| 173 |
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65 | if (pep->mpd==PETSC_DETERMINE) pep->mpd = pep->ncv; |
| 174 |
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65 | if (!pep->which) pep->which = PEP_ALL; |
| 175 |
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65 | PetscCheck(pep->which==PEP_ALL,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"This solver supports only computing all eigenvalues"); |
| 176 |
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65 | PEPCheckUnsupported(pep,PEP_FEATURE_STOPPING); |
| 177 |
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65 | PEPCheckIgnored(pep,PEP_FEATURE_SCALE); |
| 178 | |||
| 179 | /* check region */ | ||
| 180 |
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65 | PetscCall(RGIsTrivial(pep->rg,&istrivial)); |
| 181 |
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65 | PetscCheck(!istrivial,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"CISS requires a nontrivial region, e.g. -rg_type ellipse ..."); |
| 182 |
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65 | PetscCall(RGGetComplement(pep->rg,&flg)); |
| 183 |
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65 | PetscCheck(!flg,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"A region with complement flag set is not allowed"); |
| 184 |
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65 | PetscCall(PetscObjectTypeCompare((PetscObject)pep->rg,RGELLIPSE,&isellipse)); |
| 185 |
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65 | PetscCheck(isellipse,PetscObjectComm((PetscObject)pep),PETSC_ERR_SUP,"Currently only implemented for elliptic regions"); |
| 186 | |||
| 187 | /* if the region has changed, then reset contour data */ | ||
| 188 |
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65 | PetscCall(PetscObjectGetId((PetscObject)pep->rg,&id)); |
| 189 |
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65 | PetscCall(PetscObjectStateGet((PetscObject)pep->rg,&state)); |
| 190 |
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65 | if (ctx->rgid && (id != ctx->rgid || state != ctx->rgstate)) { |
| 191 | ✗ | PetscCall(SlepcContourDataDestroy(&ctx->contour)); | |
| 192 | ✗ | PetscCall(PetscInfo(pep,"Resetting the contour data structure due to a change of region\n")); | |
| 193 | ✗ | ctx->rgid = id; ctx->rgstate = state; | |
| 194 | } | ||
| 195 | |||
| 196 | /* create contour data structure */ | ||
| 197 |
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65 | if (!ctx->contour) { |
| 198 | ✗ | PetscCall(RGCanUseConjugates(pep->rg,ctx->isreal,&ctx->useconj)); | |
| 199 | ✗ | PetscCall(SlepcContourDataCreate(ctx->useconj?ctx->N/2:ctx->N,ctx->npart,(PetscObject)pep,&ctx->contour)); | |
| 200 | } | ||
| 201 | |||
| 202 |
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65 | PetscCall(PEPAllocateSolution(pep,0)); |
| 203 |
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65 | if (ctx->weight) PetscCall(PetscFree4(ctx->weight,ctx->omega,ctx->pp,ctx->sigma)); |
| 204 |
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65 | PetscCall(PetscMalloc4(ctx->N,&ctx->weight,ctx->N,&ctx->omega,ctx->N,&ctx->pp,ctx->L_max*ctx->M,&ctx->sigma)); |
| 205 | |||
| 206 | /* allocate basis vectors */ | ||
| 207 |
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65 | PetscCall(BVDestroy(&ctx->S)); |
| 208 |
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65 | PetscCall(BVDuplicateResize(pep->V,ctx->L*ctx->M,&ctx->S)); |
| 209 |
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65 | PetscCall(BVDestroy(&ctx->V)); |
| 210 |
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65 | PetscCall(BVDuplicateResize(pep->V,ctx->L,&ctx->V)); |
| 211 | |||
| 212 | /* check if a user-defined split preconditioner has been set */ | ||
| 213 |
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65 | PetscCall(STGetSplitPreconditionerInfo(pep->st,&nsplit,NULL)); |
| 214 |
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65 | if (nsplit) { |
| 215 |
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15 | PetscCall(PetscFree(ctx->Psplit)); |
| 216 |
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15 | PetscCall(PetscMalloc1(nsplit,&ctx->Psplit)); |
| 217 |
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60 | for (i=0;i<nsplit;i++) PetscCall(STGetSplitPreconditionerTerm(pep->st,i,&ctx->Psplit[i])); |
| 218 | } | ||
| 219 | |||
| 220 | 65 | contour = ctx->contour; | |
| 221 |
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65 | PetscCall(SlepcContourRedundantMat(contour,pep->nmat,pep->A,ctx->Psplit)); |
| 222 |
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65 | if (!ctx->J) PetscCall(MatDuplicate(contour->pA?contour->pA[0]:pep->A[0],MAT_DO_NOT_COPY_VALUES,&ctx->J)); |
| 223 |
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65 | if (contour->pA) { |
| 224 |
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20 | PetscCall(BVGetColumn(ctx->V,0,&v0)); |
| 225 |
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20 | PetscCall(SlepcContourScatterCreate(contour,v0)); |
| 226 |
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20 | PetscCall(BVRestoreColumn(ctx->V,0,&v0)); |
| 227 |
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20 | PetscCall(BVDestroy(&ctx->pV)); |
| 228 |
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20 | PetscCall(BVCreate(PetscObjectComm((PetscObject)contour->xsub),&ctx->pV)); |
| 229 |
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20 | PetscCall(BVSetSizesFromVec(ctx->pV,contour->xsub,pep->n)); |
| 230 |
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20 | PetscCall(BVSetFromOptions(ctx->pV)); |
| 231 |
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20 | PetscCall(BVResize(ctx->pV,ctx->L,PETSC_FALSE)); |
| 232 | } | ||
| 233 | |||
| 234 |
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65 | PetscCall(BVDestroy(&ctx->Y)); |
| 235 |
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65 | if (contour->pA) { |
| 236 |
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20 | PetscCall(BVCreate(PetscObjectComm((PetscObject)contour->xsub),&ctx->Y)); |
| 237 |
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20 | PetscCall(BVSetSizesFromVec(ctx->Y,contour->xsub,pep->n)); |
| 238 |
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20 | PetscCall(BVSetFromOptions(ctx->Y)); |
| 239 |
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20 | PetscCall(BVResize(ctx->Y,contour->npoints*ctx->L,PETSC_FALSE)); |
| 240 |
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45 | } else PetscCall(BVDuplicateResize(pep->V,contour->npoints*ctx->L,&ctx->Y)); |
| 241 | |||
| 242 |
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65 | if (ctx->extraction == PEP_CISS_EXTRACTION_RITZ) { |
| 243 |
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50 | PetscCall(DSPEPSetDegree(pep->ds,pep->nmat-1)); |
| 244 |
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50 | PetscCall(DSPEPSetCoefficients(pep->ds,pep->pbc)); |
| 245 | } | ||
| 246 |
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65 | PetscCall(DSAllocate(pep->ds,pep->ncv)); |
| 247 | 65 | nwork = 2; | |
| 248 |
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65 | PetscCall(PEPSetWorkVecs(pep,nwork)); |
| 249 |
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13 | PetscFunctionReturn(PETSC_SUCCESS); |
| 250 | } | ||
| 251 | |||
| 252 | 65 | static PetscErrorCode PEPSolve_CISS(PEP pep) | |
| 253 | { | ||
| 254 | 65 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 255 | 65 | SlepcContourData contour = ctx->contour; | |
| 256 | 65 | Mat X,M,E,T,P; | |
| 257 | 65 | PetscInt i,j,ld,L_add=0,nv=0,L_base=ctx->L,inner,*inside,nsplit; | |
| 258 | 65 | PetscScalar *Mu,*H0,*H1,*rr,*temp,center; | |
| 259 | 65 | PetscReal error,max_error,radius,rgscale,est_eig,eta; | |
| 260 | 65 | PetscBool isellipse,*fl1; | |
| 261 | 65 | Vec si; | |
| 262 | 65 | SlepcSC sc; | |
| 263 | 65 | PetscRandom rand; | |
| 264 | |||
| 265 |
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65 | PetscFunctionBegin; |
| 266 |
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65 | PetscCall(DSGetSlepcSC(pep->ds,&sc)); |
| 267 | 65 | sc->comparison = SlepcCompareLargestMagnitude; | |
| 268 | 65 | sc->comparisonctx = NULL; | |
| 269 | 65 | sc->map = NULL; | |
| 270 | 65 | sc->mapobj = NULL; | |
| 271 |
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65 | PetscCall(DSGetLeadingDimension(pep->ds,&ld)); |
| 272 |
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65 | PetscCall(RGComputeQuadrature(pep->rg,RG_QUADRULE_TRAPEZOIDAL,ctx->N,ctx->omega,ctx->pp,ctx->weight)); |
| 273 |
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65 | PetscCall(STGetSplitPreconditionerInfo(pep->st,&nsplit,NULL)); |
| 274 |
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65 | if (contour->pA) { |
| 275 | 20 | T = contour->pA[0]; | |
| 276 |
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20 | P = nsplit? contour->pP[0]: T; |
| 277 | } else { | ||
| 278 | 45 | T = pep->A[0]; | |
| 279 |
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45 | P = nsplit? ctx->Psplit[0]: T; |
| 280 | } | ||
| 281 |
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65 | PetscCall(PEPCISSSetUp(pep,T,P)); |
| 282 |
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65 | PetscCall(BVSetActiveColumns(ctx->V,0,ctx->L)); |
| 283 |
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65 | PetscCall(BVSetRandomSign(ctx->V)); |
| 284 |
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65 | PetscCall(BVGetRandomContext(ctx->V,&rand)); |
| 285 |
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65 | if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup)); |
| 286 |
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65 | PetscCall(PEPCISSSolve(pep,ctx->J,(contour->pA)?ctx->pV:ctx->V,0,ctx->L)); |
| 287 |
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65 | PetscCall(PetscObjectTypeCompare((PetscObject)pep->rg,RGELLIPSE,&isellipse)); |
| 288 |
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65 | if (isellipse) { |
| 289 |
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65 | PetscCall(BVTraceQuadrature(ctx->Y,ctx->V,ctx->L,ctx->L,ctx->weight,contour->scatterin,contour->subcomm,contour->npoints,ctx->useconj,&est_eig)); |
| 290 |
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65 | PetscCall(PetscInfo(pep,"Estimated eigenvalue count: %f\n",(double)est_eig)); |
| 291 | 65 | eta = PetscPowReal(10.0,-PetscLog10Real(pep->tol)/ctx->N); | |
| 292 | 65 | L_add = PetscMax(0,(PetscInt)PetscCeilReal((est_eig*eta)/ctx->M)-ctx->L); | |
| 293 |
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65 | if (L_add>ctx->L_max-ctx->L) { |
| 294 | ✗ | PetscCall(PetscInfo(pep,"Number of eigenvalues inside the contour path may be too large\n")); | |
| 295 | ✗ | L_add = ctx->L_max-ctx->L; | |
| 296 | } | ||
| 297 | } | ||
| 298 | /* Updates L after estimate the number of eigenvalue */ | ||
| 299 |
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65 | if (L_add>0) { |
| 300 |
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10 | PetscCall(PetscInfo(pep,"Changing L %" PetscInt_FMT " -> %" PetscInt_FMT " by Estimate #Eig\n",ctx->L,ctx->L+L_add)); |
| 301 |
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10 | PetscCall(BVCISSResizeBases(ctx->S,contour->pA?ctx->pV:ctx->V,ctx->Y,ctx->L,ctx->L+L_add,ctx->M,contour->npoints)); |
| 302 |
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10 | PetscCall(BVSetActiveColumns(ctx->V,ctx->L,ctx->L+L_add)); |
| 303 |
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10 | PetscCall(BVSetRandomSign(ctx->V)); |
| 304 |
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10 | if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup)); |
| 305 | 10 | ctx->L += L_add; | |
| 306 |
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10 | PetscCall(PEPCISSSolve(pep,ctx->J,(contour->pA)?ctx->pV:ctx->V,ctx->L-L_add,ctx->L)); |
| 307 | } | ||
| 308 | |||
| 309 |
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65 | PetscCall(PetscMalloc2(ctx->L*ctx->L*ctx->M*2,&Mu,ctx->L*ctx->M*ctx->L*ctx->M,&H0)); |
| 310 |
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75 | for (i=0;i<ctx->refine_blocksize;i++) { |
| 311 |
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25 | PetscCall(BVDotQuadrature(ctx->Y,(contour->pA)?ctx->pV:ctx->V,Mu,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->subcomm,contour->npoints,ctx->useconj)); |
| 312 |
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25 | PetscCall(CISS_BlockHankel(Mu,0,ctx->L,ctx->M,H0)); |
| 313 |
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25 | PetscCall(PetscLogEventBegin(PEP_CISS_SVD,pep,0,0,0)); |
| 314 |
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25 | PetscCall(SlepcCISS_BH_SVD(H0,ctx->L*ctx->M,ctx->delta,ctx->sigma,&nv)); |
| 315 |
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25 | PetscCall(PetscLogEventEnd(PEP_CISS_SVD,pep,0,0,0)); |
| 316 |
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25 | if (ctx->sigma[0]<=ctx->delta || nv < ctx->L*ctx->M || ctx->L == ctx->L_max) break; |
| 317 | 10 | L_add = L_base; | |
| 318 |
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10 | if (ctx->L+L_add>ctx->L_max) L_add = ctx->L_max-ctx->L; |
| 319 |
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10 | PetscCall(PetscInfo(pep,"Changing L %" PetscInt_FMT " -> %" PetscInt_FMT " by SVD(H0)\n",ctx->L,ctx->L+L_add)); |
| 320 |
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10 | PetscCall(BVCISSResizeBases(ctx->S,contour->pA?ctx->pV:ctx->V,ctx->Y,ctx->L,ctx->L+L_add,ctx->M,contour->npoints)); |
| 321 |
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10 | PetscCall(BVSetActiveColumns(ctx->V,ctx->L,ctx->L+L_add)); |
| 322 |
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10 | PetscCall(BVSetRandomSign(ctx->V)); |
| 323 |
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10 | if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup)); |
| 324 | 10 | ctx->L += L_add; | |
| 325 |
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|
10 | PetscCall(PEPCISSSolve(pep,ctx->J,(contour->pA)?ctx->pV:ctx->V,ctx->L-L_add,ctx->L)); |
| 326 |
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10 | if (L_add) { |
| 327 |
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10 | PetscCall(PetscFree2(Mu,H0)); |
| 328 |
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|
10 | PetscCall(PetscMalloc2(ctx->L*ctx->L*ctx->M*2,&Mu,ctx->L*ctx->M*ctx->L*ctx->M,&H0)); |
| 329 | } | ||
| 330 | } | ||
| 331 | |||
| 332 |
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65 | PetscCall(RGGetScale(pep->rg,&rgscale)); |
| 333 |
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65 | PetscCall(RGEllipseGetParameters(pep->rg,¢er,&radius,NULL)); |
| 334 | |||
| 335 |
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65 | if (ctx->extraction == PEP_CISS_EXTRACTION_HANKEL) PetscCall(PetscMalloc1(ctx->L*ctx->M*ctx->L*ctx->M,&H1)); |
| 336 | |||
| 337 | 130 | while (pep->reason == PEP_CONVERGED_ITERATING) { | |
| 338 | 65 | pep->its++; | |
| 339 |
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65 | for (inner=0;inner<=ctx->refine_inner;inner++) { |
| 340 |
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65 | if (ctx->extraction == PEP_CISS_EXTRACTION_HANKEL) { |
| 341 |
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10 | PetscCall(BVDotQuadrature(ctx->Y,(contour->pA)?ctx->pV:ctx->V,Mu,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->subcomm,contour->npoints,ctx->useconj)); |
| 342 |
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10 | PetscCall(CISS_BlockHankel(Mu,0,ctx->L,ctx->M,H0)); |
| 343 |
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10 | PetscCall(PetscLogEventBegin(PEP_CISS_SVD,pep,0,0,0)); |
| 344 |
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10 | PetscCall(SlepcCISS_BH_SVD(H0,ctx->L*ctx->M,ctx->delta,ctx->sigma,&nv)); |
| 345 |
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10 | PetscCall(PetscLogEventEnd(PEP_CISS_SVD,pep,0,0,0)); |
| 346 | } else { | ||
| 347 |
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55 | PetscCall(BVSumQuadrature(ctx->S,ctx->Y,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->scatterin,contour->subcomm,contour->npoints,ctx->useconj)); |
| 348 | /* compute SVD of S */ | ||
| 349 |
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|
105 | PetscCall(BVSVDAndRank(ctx->S,ctx->M,ctx->L,ctx->delta,(ctx->extraction==PEP_CISS_EXTRACTION_CAA)?BV_SVD_METHOD_QR_CAA:BV_SVD_METHOD_QR,H0,ctx->sigma,&nv)); |
| 350 | } | ||
| 351 |
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65 | PetscCall(PetscInfo(pep,"Estimated rank: nv = %" PetscInt_FMT "\n",nv)); |
| 352 |
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65 | if (ctx->sigma[0]>ctx->delta && nv==ctx->L*ctx->M && inner!=ctx->refine_inner) { |
| 353 | ✗ | PetscCall(BVSumQuadrature(ctx->S,ctx->Y,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->scatterin,contour->subcomm,contour->npoints,ctx->useconj)); | |
| 354 | ✗ | PetscCall(BVSetActiveColumns(ctx->S,0,ctx->L)); | |
| 355 | ✗ | PetscCall(BVSetActiveColumns(ctx->V,0,ctx->L)); | |
| 356 | ✗ | PetscCall(BVCopy(ctx->S,ctx->V)); | |
| 357 | ✗ | if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup)); | |
| 358 | ✗ | PetscCall(PEPCISSSolve(pep,ctx->J,(contour->pA)?ctx->pV:ctx->V,0,ctx->L)); | |
| 359 | } else break; | ||
| 360 | } | ||
| 361 | 65 | pep->nconv = 0; | |
| 362 |
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65 | if (nv == 0) { pep->reason = PEP_CONVERGED_TOL; break; } |
| 363 | else { | ||
| 364 | /* Extracting eigenpairs */ | ||
| 365 |
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65 | PetscCall(DSSetDimensions(pep->ds,nv,0,0)); |
| 366 |
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65 | PetscCall(DSSetState(pep->ds,DS_STATE_RAW)); |
| 367 |
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65 | if (ctx->extraction == PEP_CISS_EXTRACTION_HANKEL) { |
| 368 |
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10 | PetscCall(CISS_BlockHankel(Mu,0,ctx->L,ctx->M,H0)); |
| 369 |
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10 | PetscCall(CISS_BlockHankel(Mu,1,ctx->L,ctx->M,H1)); |
| 370 |
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10 | PetscCall(DSGetArray(pep->ds,DS_MAT_A,&temp)); |
| 371 |
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375 | for (j=0;j<nv;j++) |
| 372 |
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18750 | for (i=0;i<nv;i++) |
| 373 | 18385 | temp[i+j*ld] = H1[i+j*ctx->L*ctx->M]; | |
| 374 |
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10 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_A,&temp)); |
| 375 |
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10 | PetscCall(DSGetArray(pep->ds,DS_MAT_B,&temp)); |
| 376 |
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375 | for (j=0;j<nv;j++) |
| 377 |
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18750 | for (i=0;i<nv;i++) |
| 378 | 18385 | temp[i+j*ld] = H0[i+j*ctx->L*ctx->M]; | |
| 379 |
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10 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_B,&temp)); |
| 380 |
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55 | } else if (ctx->extraction == PEP_CISS_EXTRACTION_CAA) { |
| 381 |
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5 | PetscCall(BVSetActiveColumns(ctx->S,0,nv)); |
| 382 |
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5 | PetscCall(DSGetArray(pep->ds,DS_MAT_A,&temp)); |
| 383 |
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115 | for (i=0;i<nv;i++) PetscCall(PetscArraycpy(temp+i*ld,H0+i*nv,nv)); |
| 384 |
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5 | PetscCall(DSRestoreArray(pep->ds,DS_MAT_A,&temp)); |
| 385 | } else { | ||
| 386 |
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50 | PetscCall(BVSetActiveColumns(ctx->S,0,nv)); |
| 387 |
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250 | for (i=0;i<pep->nmat;i++) { |
| 388 |
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200 | PetscCall(DSGetMat(pep->ds,DSMatExtra[i],&E)); |
| 389 |
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200 | PetscCall(BVMatProject(ctx->S,pep->A[i],ctx->S,E)); |
| 390 |
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200 | PetscCall(DSRestoreMat(pep->ds,DSMatExtra[i],&E)); |
| 391 | } | ||
| 392 | 50 | nv = (pep->nmat-1)*nv; | |
| 393 | } | ||
| 394 |
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65 | PetscCall(DSSolve(pep->ds,pep->eigr,pep->eigi)); |
| 395 |
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65 | PetscCall(DSSynchronize(pep->ds,pep->eigr,pep->eigi)); |
| 396 |
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65 | if (ctx->extraction == PEP_CISS_EXTRACTION_CAA || ctx->extraction == PEP_CISS_EXTRACTION_HANKEL) { |
| 397 |
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490 | for (i=0;i<nv;i++) { |
| 398 | 475 | pep->eigr[i] = (pep->eigr[i]*radius+center)*rgscale; | |
| 399 | } | ||
| 400 | } | ||
| 401 |
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65 | PetscCall(PetscMalloc3(nv,&fl1,nv,&inside,nv,&rr)); |
| 402 |
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65 | PetscCall(DSVectors(pep->ds,DS_MAT_X,NULL,NULL)); |
| 403 |
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65 | PetscCall(DSGetMat(pep->ds,DS_MAT_X,&X)); |
| 404 |
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65 | PetscCall(SlepcCISS_isGhost(X,nv,ctx->sigma,ctx->spurious_threshold,fl1)); |
| 405 |
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65 | PetscCall(DSRestoreMat(pep->ds,DS_MAT_X,&X)); |
| 406 |
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65 | PetscCall(RGCheckInside(pep->rg,nv,pep->eigr,pep->eigi,inside)); |
| 407 |
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7030 | for (i=0;i<nv;i++) { |
| 408 |
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|
6965 | if (fl1[i] && inside[i]>=0) { |
| 409 | 505 | rr[i] = 1.0; | |
| 410 | 505 | pep->nconv++; | |
| 411 | 6460 | } else rr[i] = 0.0; | |
| 412 | } | ||
| 413 |
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65 | PetscCall(DSSort(pep->ds,pep->eigr,pep->eigi,rr,NULL,&pep->nconv)); |
| 414 |
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65 | PetscCall(DSSynchronize(pep->ds,pep->eigr,pep->eigi)); |
| 415 |
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65 | if (ctx->extraction == PEP_CISS_EXTRACTION_CAA || ctx->extraction == PEP_CISS_EXTRACTION_HANKEL) { |
| 416 |
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490 | for (i=0;i<nv;i++) pep->eigr[i] = (pep->eigr[i]*radius+center)*rgscale; |
| 417 | } | ||
| 418 |
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65 | PetscCall(PetscFree3(fl1,inside,rr)); |
| 419 |
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65 | PetscCall(BVSetActiveColumns(pep->V,0,nv)); |
| 420 |
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65 | PetscCall(DSVectors(pep->ds,DS_MAT_X,NULL,NULL)); |
| 421 |
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65 | if (ctx->extraction == PEP_CISS_EXTRACTION_HANKEL) { |
| 422 |
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|
10 | PetscCall(BVSumQuadrature(ctx->S,ctx->Y,ctx->M,ctx->L,ctx->L,ctx->weight,ctx->pp,contour->scatterin,contour->subcomm,contour->npoints,ctx->useconj)); |
| 423 |
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10 | PetscCall(BVSetActiveColumns(ctx->S,0,nv)); |
| 424 |
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10 | PetscCall(BVCopy(ctx->S,pep->V)); |
| 425 |
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10 | PetscCall(DSGetMat(pep->ds,DS_MAT_X,&X)); |
| 426 |
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10 | PetscCall(BVMultInPlace(ctx->S,X,0,pep->nconv)); |
| 427 |
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10 | PetscCall(BVMultInPlace(pep->V,X,0,pep->nconv)); |
| 428 |
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10 | PetscCall(DSRestoreMat(pep->ds,DS_MAT_X,&X)); |
| 429 | } else { | ||
| 430 |
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55 | PetscCall(DSGetMat(pep->ds,DS_MAT_X,&X)); |
| 431 |
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55 | PetscCall(BVMultInPlace(ctx->S,X,0,pep->nconv)); |
| 432 |
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55 | PetscCall(DSRestoreMat(pep->ds,DS_MAT_X,&X)); |
| 433 |
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55 | PetscCall(BVSetActiveColumns(ctx->S,0,pep->nconv)); |
| 434 |
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55 | PetscCall(BVCopy(ctx->S,pep->V)); |
| 435 | } | ||
| 436 | max_error = 0.0; | ||
| 437 |
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570 | for (i=0;i<pep->nconv;i++) { |
| 438 |
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505 | PetscCall(BVGetColumn(pep->V,i,&si)); |
| 439 |
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505 | PetscCall(VecNormalize(si,NULL)); |
| 440 |
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505 | PetscCall(PEPComputeResidualNorm_Private(pep,pep->eigr[i],0,si,NULL,pep->work,&error)); |
| 441 |
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505 | PetscCall((*pep->converged)(pep,pep->eigr[i],0,error,&error,pep->convergedctx)); |
| 442 |
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505 | PetscCall(BVRestoreColumn(pep->V,i,&si)); |
| 443 |
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660 | max_error = PetscMax(max_error,error); |
| 444 | } | ||
| 445 |
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65 | if (max_error <= pep->tol) pep->reason = PEP_CONVERGED_TOL; |
| 446 | ✗ | else if (pep->its > pep->max_it) pep->reason = PEP_DIVERGED_ITS; | |
| 447 | else { | ||
| 448 | ✗ | if (pep->nconv > ctx->L) nv = pep->nconv; | |
| 449 | ✗ | else if (ctx->L > nv) nv = ctx->L; | |
| 450 | ✗ | nv = PetscMin(nv,ctx->L*ctx->M); | |
| 451 | ✗ | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nv,ctx->L,NULL,&M)); | |
| 452 | ✗ | PetscCall(MatSetRandom(M,rand)); | |
| 453 | ✗ | PetscCall(BVSetActiveColumns(ctx->S,0,nv)); | |
| 454 | ✗ | PetscCall(BVMultInPlace(ctx->S,M,0,ctx->L)); | |
| 455 | ✗ | PetscCall(MatDestroy(&M)); | |
| 456 | ✗ | PetscCall(BVSetActiveColumns(ctx->S,0,ctx->L)); | |
| 457 | ✗ | PetscCall(BVSetActiveColumns(ctx->V,0,ctx->L)); | |
| 458 | ✗ | PetscCall(BVCopy(ctx->S,ctx->V)); | |
| 459 | ✗ | if (contour->pA) PetscCall(BVScatter(ctx->V,ctx->pV,contour->scatterin,contour->xdup)); | |
| 460 |
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130 | PetscCall(PEPCISSSolve(pep,ctx->J,(contour->pA)?ctx->pV:ctx->V,0,ctx->L)); |
| 461 | } | ||
| 462 | } | ||
| 463 | } | ||
| 464 |
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65 | PetscCall(PetscFree2(Mu,H0)); |
| 465 |
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65 | if (ctx->extraction == PEP_CISS_EXTRACTION_HANKEL) PetscCall(PetscFree(H1)); |
| 466 |
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13 | PetscFunctionReturn(PETSC_SUCCESS); |
| 467 | } | ||
| 468 | |||
| 469 | 45 | static PetscErrorCode PEPCISSSetSizes_CISS(PEP pep,PetscInt ip,PetscInt bs,PetscInt ms,PetscInt npart,PetscInt bsmax,PetscBool realmats) | |
| 470 | { | ||
| 471 | 45 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 472 | 45 | PetscInt oN,oL,oM,oLmax,onpart; | |
| 473 | 45 | PetscMPIInt size; | |
| 474 | |||
| 475 |
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45 | PetscFunctionBegin; |
| 476 | 45 | oN = ctx->N; | |
| 477 |
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45 | if (ip == PETSC_DETERMINE) { |
| 478 | ✗ | if (ctx->N!=32) { ctx->N =32; ctx->M = ctx->N/4; } | |
| 479 |
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45 | } else if (ip != PETSC_CURRENT) { |
| 480 |
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45 | PetscCheck(ip>0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The ip argument must be > 0"); |
| 481 |
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45 | PetscCheck(ip%2==0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The ip argument must be an even number"); |
| 482 |
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45 | if (ctx->N!=ip) { ctx->N = ip; ctx->M = ctx->N/4; } |
| 483 | } | ||
| 484 | 45 | oL = ctx->L; | |
| 485 |
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45 | if (bs == PETSC_DETERMINE) { |
| 486 | 5 | ctx->L = 16; | |
| 487 |
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40 | } else if (bs != PETSC_CURRENT) { |
| 488 |
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40 | PetscCheck(bs>0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The bs argument must be > 0"); |
| 489 | 40 | ctx->L = bs; | |
| 490 | } | ||
| 491 | 45 | oM = ctx->M; | |
| 492 |
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45 | if (ms == PETSC_DETERMINE) { |
| 493 | 5 | ctx->M = ctx->N/4; | |
| 494 |
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40 | } else if (ms != PETSC_CURRENT) { |
| 495 |
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40 | PetscCheck(ms>0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The ms argument must be > 0"); |
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40 | PetscCheck(ms<=ctx->N,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The ms argument must be less than or equal to the number of integration points"); |
| 497 | 40 | ctx->M = ms; | |
| 498 | } | ||
| 499 | 45 | onpart = ctx->npart; | |
| 500 |
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45 | if (npart == PETSC_DETERMINE) { |
| 501 | ✗ | ctx->npart = 1; | |
| 502 |
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45 | } else if (npart != PETSC_CURRENT) { |
| 503 |
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45 | PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pep),&size)); |
| 504 |
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45 | PetscCheck(npart>0 && npart<=size,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"Illegal value of npart"); |
| 505 | 45 | ctx->npart = npart; | |
| 506 | } | ||
| 507 | 45 | oLmax = ctx->L_max; | |
| 508 |
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45 | if (bsmax == PETSC_DETERMINE) { |
| 509 | 5 | ctx->L_max = 64; | |
| 510 |
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40 | } else if (bsmax != PETSC_CURRENT) { |
| 511 |
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40 | PetscCheck(bsmax>0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The bsmax argument must be > 0"); |
| 512 | 40 | ctx->L_max = PetscMax(bsmax,ctx->L); | |
| 513 | } | ||
| 514 |
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45 | if (onpart != ctx->npart || oN != ctx->N || realmats != ctx->isreal) { |
| 515 |
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30 | PetscCall(SlepcContourDataDestroy(&ctx->contour)); |
| 516 |
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30 | PetscCall(PetscInfo(pep,"Resetting the contour data structure due to a change of parameters\n")); |
| 517 | 30 | pep->state = PEP_STATE_INITIAL; | |
| 518 | } | ||
| 519 | 45 | ctx->isreal = realmats; | |
| 520 |
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45 | if (oL != ctx->L || oM != ctx->M || oLmax != ctx->L_max) pep->state = PEP_STATE_INITIAL; |
| 521 |
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9 | PetscFunctionReturn(PETSC_SUCCESS); |
| 522 | } | ||
| 523 | |||
| 524 | /*@ | ||
| 525 | PEPCISSSetSizes - Sets the values of various size parameters in the CISS solver. | ||
| 526 | |||
| 527 | Logically Collective | ||
| 528 | |||
| 529 | Input Parameters: | ||
| 530 | + pep - the polynomial eigensolver context | ||
| 531 | . ip - number of integration points | ||
| 532 | . bs - block size | ||
| 533 | . ms - moment size | ||
| 534 | . npart - number of partitions when splitting the communicator | ||
| 535 | . bsmax - max block size | ||
| 536 | - realmats - all coefficient matrices of $P(\cdot)$ are real | ||
| 537 | |||
| 538 | Options Database Keys: | ||
| 539 | + -pep_ciss_integration_points \<ip\> - sets the number of integration points | ||
| 540 | . -pep_ciss_blocksize \<bs\> - sets the block size | ||
| 541 | . -pep_ciss_moments \<ms\> - sets the moment size | ||
| 542 | . -pep_ciss_partitions \<npart\> - sets the number of partitions | ||
| 543 | . -pep_ciss_maxblocksize \<bsmax\> - sets the maximum block size | ||
| 544 | - -pep_ciss_realmats - all coefficient matrices of $P(\cdot)$ are real | ||
| 545 | |||
| 546 | Notes: | ||
| 547 | For all integer arguments, you can use `PETSC_CURRENT` to keep the current value, and | ||
| 548 | `PETSC_DETERMINE` to set them to a default value. | ||
| 549 | |||
| 550 | The default number of partitions is 1. This means the internal `KSP` object is shared | ||
| 551 | among all processes of the `PEP` communicator. Otherwise, the communicator is split | ||
| 552 | into `npart` communicators, so that `npart` `KSP` solves proceed simultaneously. | ||
| 553 | |||
| 554 | For a detailed description of the parameters see {cite:p}`Mae16`. | ||
| 555 | |||
| 556 | Level: advanced | ||
| 557 | |||
| 558 | .seealso: [](ch:pep), `PEPCISS`, `PEPCISSGetSizes()` | ||
| 559 | @*/ | ||
| 560 | 45 | PetscErrorCode PEPCISSSetSizes(PEP pep,PetscInt ip,PetscInt bs,PetscInt ms,PetscInt npart,PetscInt bsmax,PetscBool realmats) | |
| 561 | { | ||
| 562 |
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45 | PetscFunctionBegin; |
| 563 |
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45 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 564 |
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45 | PetscValidLogicalCollectiveInt(pep,ip,2); |
| 565 |
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45 | PetscValidLogicalCollectiveInt(pep,bs,3); |
| 566 |
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45 | PetscValidLogicalCollectiveInt(pep,ms,4); |
| 567 |
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45 | PetscValidLogicalCollectiveInt(pep,npart,5); |
| 568 |
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45 | PetscValidLogicalCollectiveInt(pep,bsmax,6); |
| 569 |
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45 | PetscValidLogicalCollectiveBool(pep,realmats,7); |
| 570 |
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45 | PetscTryMethod(pep,"PEPCISSSetSizes_C",(PEP,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscBool),(pep,ip,bs,ms,npart,bsmax,realmats)); |
| 571 |
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|
45 | PetscFunctionReturn(PETSC_SUCCESS); |
| 572 | } | ||
| 573 | |||
| 574 | 65 | static PetscErrorCode PEPCISSGetSizes_CISS(PEP pep,PetscInt *ip,PetscInt *bs,PetscInt *ms,PetscInt *npart,PetscInt *bsmax,PetscBool *realmats) | |
| 575 | { | ||
| 576 | 65 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 577 | |||
| 578 |
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65 | PetscFunctionBegin; |
| 579 |
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65 | if (ip) *ip = ctx->N; |
| 580 |
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65 | if (bs) *bs = ctx->L; |
| 581 |
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65 | if (ms) *ms = ctx->M; |
| 582 |
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65 | if (npart) *npart = ctx->npart; |
| 583 |
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65 | if (bsmax) *bsmax = ctx->L_max; |
| 584 |
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65 | if (realmats) *realmats = ctx->isreal; |
| 585 |
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65 | PetscFunctionReturn(PETSC_SUCCESS); |
| 586 | } | ||
| 587 | |||
| 588 | /*@ | ||
| 589 | PEPCISSGetSizes - Gets the values of various size parameters in the CISS solver. | ||
| 590 | |||
| 591 | Not Collective | ||
| 592 | |||
| 593 | Input Parameter: | ||
| 594 | . pep - the polynomial eigensolver context | ||
| 595 | |||
| 596 | Output Parameters: | ||
| 597 | + ip - number of integration points | ||
| 598 | . bs - block size | ||
| 599 | . ms - moment size | ||
| 600 | . npart - number of partitions when splitting the communicator | ||
| 601 | . bsmax - max block size | ||
| 602 | - realmats - all coefficient matrices of $P(\cdot)$ are real | ||
| 603 | |||
| 604 | Level: advanced | ||
| 605 | |||
| 606 | .seealso: [](ch:pep), `PEPCISS`, `PEPCISSSetSizes()` | ||
| 607 | @*/ | ||
| 608 | 65 | PetscErrorCode PEPCISSGetSizes(PEP pep,PetscInt *ip,PetscInt *bs,PetscInt *ms,PetscInt *npart,PetscInt *bsmax,PetscBool *realmats) | |
| 609 | { | ||
| 610 |
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65 | PetscFunctionBegin; |
| 611 |
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65 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 612 |
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65 | PetscUseMethod(pep,"PEPCISSGetSizes_C",(PEP,PetscInt*,PetscInt*,PetscInt*,PetscInt*,PetscInt*,PetscBool*),(pep,ip,bs,ms,npart,bsmax,realmats)); |
| 613 |
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65 | PetscFunctionReturn(PETSC_SUCCESS); |
| 614 | } | ||
| 615 | |||
| 616 | 5 | static PetscErrorCode PEPCISSSetThreshold_CISS(PEP pep,PetscReal delta,PetscReal spur) | |
| 617 | { | ||
| 618 | 5 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 619 | |||
| 620 |
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5 | PetscFunctionBegin; |
| 621 |
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5 | if (delta == (PetscReal)PETSC_DETERMINE) { |
| 622 | ✗ | ctx->delta = SLEPC_DEFAULT_TOL*1e-4; | |
| 623 |
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5 | } else if (delta != (PetscReal)PETSC_CURRENT) { |
| 624 |
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5 | PetscCheck(delta>0.0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The delta argument must be > 0.0"); |
| 625 | 5 | ctx->delta = delta; | |
| 626 | } | ||
| 627 |
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5 | if (spur == (PetscReal)PETSC_DETERMINE) { |
| 628 | ✗ | ctx->spurious_threshold = PetscSqrtReal(SLEPC_DEFAULT_TOL); | |
| 629 |
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5 | } else if (spur != (PetscReal)PETSC_CURRENT) { |
| 630 |
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5 | PetscCheck(spur>0.0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The spurious threshold argument must be > 0.0"); |
| 631 | 5 | ctx->spurious_threshold = spur; | |
| 632 | } | ||
| 633 |
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|
1 | PetscFunctionReturn(PETSC_SUCCESS); |
| 634 | } | ||
| 635 | |||
| 636 | /*@ | ||
| 637 | PEPCISSSetThreshold - Sets the values of various threshold parameters in | ||
| 638 | the CISS solver. | ||
| 639 | |||
| 640 | Logically Collective | ||
| 641 | |||
| 642 | Input Parameters: | ||
| 643 | + pep - the polynomial eigensolver context | ||
| 644 | . delta - threshold for numerical rank | ||
| 645 | - spur - spurious threshold (to discard spurious eigenpairs) | ||
| 646 | |||
| 647 | Options Database Keys: | ||
| 648 | + -pep_ciss_delta \<delta\> - sets the delta | ||
| 649 | - -pep_ciss_spurious_threshold \<spur\> - sets the spurious threshold | ||
| 650 | |||
| 651 | Notes: | ||
| 652 | `PETSC_CURRENT` can be used to preserve the current value of any of the | ||
| 653 | arguments, and `PETSC_DETERMINE` to set them to a default value. | ||
| 654 | |||
| 655 | For a detailed description of the parameters see {cite:p}`Mae16`. | ||
| 656 | |||
| 657 | Level: advanced | ||
| 658 | |||
| 659 | .seealso: [](ch:pep), `PEPCISS`, `PEPCISSGetThreshold()` | ||
| 660 | @*/ | ||
| 661 | 5 | PetscErrorCode PEPCISSSetThreshold(PEP pep,PetscReal delta,PetscReal spur) | |
| 662 | { | ||
| 663 |
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5 | PetscFunctionBegin; |
| 664 |
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5 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 665 |
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5 | PetscValidLogicalCollectiveReal(pep,delta,2); |
| 666 |
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5 | PetscValidLogicalCollectiveReal(pep,spur,3); |
| 667 |
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5 | PetscTryMethod(pep,"PEPCISSSetThreshold_C",(PEP,PetscReal,PetscReal),(pep,delta,spur)); |
| 668 |
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|
5 | PetscFunctionReturn(PETSC_SUCCESS); |
| 669 | } | ||
| 670 | |||
| 671 | 65 | static PetscErrorCode PEPCISSGetThreshold_CISS(PEP pep,PetscReal *delta,PetscReal *spur) | |
| 672 | { | ||
| 673 | 65 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 674 | |||
| 675 |
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65 | PetscFunctionBegin; |
| 676 |
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65 | if (delta) *delta = ctx->delta; |
| 677 |
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65 | if (spur) *spur = ctx->spurious_threshold; |
| 678 |
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65 | PetscFunctionReturn(PETSC_SUCCESS); |
| 679 | } | ||
| 680 | |||
| 681 | /*@ | ||
| 682 | PEPCISSGetThreshold - Gets the values of various threshold parameters in | ||
| 683 | the CISS solver. | ||
| 684 | |||
| 685 | Not Collective | ||
| 686 | |||
| 687 | Input Parameter: | ||
| 688 | . pep - the polynomial eigensolver context | ||
| 689 | |||
| 690 | Output Parameters: | ||
| 691 | + delta - threshold for numerical rank | ||
| 692 | - spur - spurious threshold (to discard spurious eigenpairs) | ||
| 693 | |||
| 694 | Level: advanced | ||
| 695 | |||
| 696 | .seealso: [](ch:pep), `PEPCISS`, `PEPCISSSetThreshold()` | ||
| 697 | @*/ | ||
| 698 | 65 | PetscErrorCode PEPCISSGetThreshold(PEP pep,PetscReal *delta,PetscReal *spur) | |
| 699 | { | ||
| 700 |
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65 | PetscFunctionBegin; |
| 701 |
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65 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 702 |
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65 | PetscUseMethod(pep,"PEPCISSGetThreshold_C",(PEP,PetscReal*,PetscReal*),(pep,delta,spur)); |
| 703 |
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65 | PetscFunctionReturn(PETSC_SUCCESS); |
| 704 | } | ||
| 705 | |||
| 706 | 15 | static PetscErrorCode PEPCISSSetRefinement_CISS(PEP pep,PetscInt inner,PetscInt blsize) | |
| 707 | { | ||
| 708 | 15 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 709 | |||
| 710 |
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15 | PetscFunctionBegin; |
| 711 |
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15 | if (inner == PETSC_DETERMINE) { |
| 712 | ✗ | ctx->refine_inner = 0; | |
| 713 |
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15 | } else if (inner != PETSC_CURRENT) { |
| 714 |
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15 | PetscCheck(inner>=0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The refine inner argument must be >= 0"); |
| 715 | 15 | ctx->refine_inner = inner; | |
| 716 | } | ||
| 717 |
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15 | if (blsize == PETSC_DETERMINE) { |
| 718 | ✗ | ctx->refine_blocksize = 0; | |
| 719 |
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15 | } else if (blsize != PETSC_CURRENT) { |
| 720 |
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15 | PetscCheck(blsize>=0,PetscObjectComm((PetscObject)pep),PETSC_ERR_ARG_OUTOFRANGE,"The refine blocksize argument must be >= 0"); |
| 721 | 15 | ctx->refine_blocksize = blsize; | |
| 722 | } | ||
| 723 |
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3 | PetscFunctionReturn(PETSC_SUCCESS); |
| 724 | } | ||
| 725 | |||
| 726 | /*@ | ||
| 727 | PEPCISSSetRefinement - Sets the values of various refinement parameters | ||
| 728 | in the CISS solver. | ||
| 729 | |||
| 730 | Logically Collective | ||
| 731 | |||
| 732 | Input Parameters: | ||
| 733 | + pep - the polynomial eigensolver context | ||
| 734 | . inner - number of iterative refinement iterations (inner loop) | ||
| 735 | - blsize - number of iterative refinement iterations (blocksize loop) | ||
| 736 | |||
| 737 | Options Database Keys: | ||
| 738 | + -pep_ciss_refine_inner \<inner\> - sets number of inner iterations | ||
| 739 | - -pep_ciss_refine_blocksize \<blsize\> - sets number of blocksize iterations | ||
| 740 | |||
| 741 | Note: | ||
| 742 | `PETSC_CURRENT` can be used to preserve the current value of any of the | ||
| 743 | arguments, and `PETSC_DETERMINE` to set them to a default of 0 (no refinement). | ||
| 744 | |||
| 745 | Level: advanced | ||
| 746 | |||
| 747 | .seealso: [](ch:pep), `PEPCISS`, `PEPCISSGetRefinement()` | ||
| 748 | @*/ | ||
| 749 | 15 | PetscErrorCode PEPCISSSetRefinement(PEP pep,PetscInt inner,PetscInt blsize) | |
| 750 | { | ||
| 751 |
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15 | PetscFunctionBegin; |
| 752 |
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15 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 753 |
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15 | PetscValidLogicalCollectiveInt(pep,inner,2); |
| 754 |
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15 | PetscValidLogicalCollectiveInt(pep,blsize,3); |
| 755 |
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|
15 | PetscTryMethod(pep,"PEPCISSSetRefinement_C",(PEP,PetscInt,PetscInt),(pep,inner,blsize)); |
| 756 |
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|
15 | PetscFunctionReturn(PETSC_SUCCESS); |
| 757 | } | ||
| 758 | |||
| 759 | 65 | static PetscErrorCode PEPCISSGetRefinement_CISS(PEP pep,PetscInt *inner,PetscInt *blsize) | |
| 760 | { | ||
| 761 | 65 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 762 | |||
| 763 |
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65 | PetscFunctionBegin; |
| 764 |
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65 | if (inner) *inner = ctx->refine_inner; |
| 765 |
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65 | if (blsize) *blsize = ctx->refine_blocksize; |
| 766 |
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65 | PetscFunctionReturn(PETSC_SUCCESS); |
| 767 | } | ||
| 768 | |||
| 769 | /*@ | ||
| 770 | PEPCISSGetRefinement - Gets the values of various refinement parameters | ||
| 771 | in the CISS solver. | ||
| 772 | |||
| 773 | Not Collective | ||
| 774 | |||
| 775 | Input Parameter: | ||
| 776 | . pep - the polynomial eigensolver context | ||
| 777 | |||
| 778 | Output Parameters: | ||
| 779 | + inner - number of iterative refinement iterations (inner loop) | ||
| 780 | - blsize - number of iterative refinement iterations (blocksize loop) | ||
| 781 | |||
| 782 | Level: advanced | ||
| 783 | |||
| 784 | .seealso: [](ch:pep), `PEPCISS`, `PEPCISSSetRefinement()` | ||
| 785 | @*/ | ||
| 786 | 65 | PetscErrorCode PEPCISSGetRefinement(PEP pep, PetscInt *inner, PetscInt *blsize) | |
| 787 | { | ||
| 788 |
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65 | PetscFunctionBegin; |
| 789 |
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65 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 790 |
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65 | PetscUseMethod(pep,"PEPCISSGetRefinement_C",(PEP,PetscInt*,PetscInt*),(pep,inner,blsize)); |
| 791 |
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65 | PetscFunctionReturn(PETSC_SUCCESS); |
| 792 | } | ||
| 793 | |||
| 794 | 20 | static PetscErrorCode PEPCISSSetExtraction_CISS(PEP pep,PEPCISSExtraction extraction) | |
| 795 | { | ||
| 796 | 20 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 797 | |||
| 798 |
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20 | PetscFunctionBegin; |
| 799 |
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20 | if (ctx->extraction != extraction) { |
| 800 | 15 | ctx->extraction = extraction; | |
| 801 | 15 | pep->state = PEP_STATE_INITIAL; | |
| 802 | } | ||
| 803 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 804 | } | ||
| 805 | |||
| 806 | /*@ | ||
| 807 | PEPCISSSetExtraction - Sets the extraction technique used in the CISS solver. | ||
| 808 | |||
| 809 | Logically Collective | ||
| 810 | |||
| 811 | Input Parameters: | ||
| 812 | + pep - the polynomial eigensolver context | ||
| 813 | - extraction - the extraction technique, see `PEPCISSExtraction` for possible values | ||
| 814 | |||
| 815 | Options Database Key: | ||
| 816 | . -pep_ciss_extraction \<extraction\> - sets the extraction technique, either `ritz`, `hankel` or `caa` | ||
| 817 | |||
| 818 | Notes: | ||
| 819 | By default, the Rayleigh-Ritz extraction is used (`PEP_CISS_EXTRACTION_RITZ`), | ||
| 820 | see {cite:p}`Asa10`. | ||
| 821 | |||
| 822 | If the `hankel` or the `caa` option is specified (`PEP_CISS_EXTRACTION_HANKEL` or | ||
| 823 | `PEP_CISS_EXTRACTION_CAA`), then the block Hankel method, or the communication-avoiding | ||
| 824 | Arnoldi method, respectively, is used for extracting eigenpairs. | ||
| 825 | |||
| 826 | Level: advanced | ||
| 827 | |||
| 828 | .seealso: [](ch:pep), `PEPCISS`, `PEPCISSGetExtraction()`, `PEPCISSExtraction` | ||
| 829 | @*/ | ||
| 830 | 20 | PetscErrorCode PEPCISSSetExtraction(PEP pep,PEPCISSExtraction extraction) | |
| 831 | { | ||
| 832 |
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20 | PetscFunctionBegin; |
| 833 |
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20 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 834 |
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20 | PetscValidLogicalCollectiveEnum(pep,extraction,2); |
| 835 |
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20 | PetscTryMethod(pep,"PEPCISSSetExtraction_C",(PEP,PEPCISSExtraction),(pep,extraction)); |
| 836 |
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20 | PetscFunctionReturn(PETSC_SUCCESS); |
| 837 | } | ||
| 838 | |||
| 839 | 5 | static PetscErrorCode PEPCISSGetExtraction_CISS(PEP pep,PEPCISSExtraction *extraction) | |
| 840 | { | ||
| 841 | 5 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 842 | |||
| 843 |
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5 | PetscFunctionBegin; |
| 844 | 5 | *extraction = ctx->extraction; | |
| 845 |
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5 | PetscFunctionReturn(PETSC_SUCCESS); |
| 846 | } | ||
| 847 | |||
| 848 | /*@ | ||
| 849 | PEPCISSGetExtraction - Gets the extraction technique used in the CISS solver. | ||
| 850 | |||
| 851 | Not Collective | ||
| 852 | |||
| 853 | Input Parameter: | ||
| 854 | . pep - the polynomial eigensolver context | ||
| 855 | |||
| 856 | Output Parameter: | ||
| 857 | . extraction - extraction technique | ||
| 858 | |||
| 859 | Level: advanced | ||
| 860 | |||
| 861 | .seealso: [](ch:pep), `PEPCISS`, `PEPCISSSetExtraction()`, `PEPCISSExtraction` | ||
| 862 | @*/ | ||
| 863 | 5 | PetscErrorCode PEPCISSGetExtraction(PEP pep,PEPCISSExtraction *extraction) | |
| 864 | { | ||
| 865 |
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5 | PetscFunctionBegin; |
| 866 |
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5 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 867 |
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5 | PetscAssertPointer(extraction,2); |
| 868 |
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5 | PetscUseMethod(pep,"PEPCISSGetExtraction_C",(PEP,PEPCISSExtraction*),(pep,extraction)); |
| 869 |
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5 | PetscFunctionReturn(PETSC_SUCCESS); |
| 870 | } | ||
| 871 | |||
| 872 | 65 | static PetscErrorCode PEPCISSGetKSPs_CISS(PEP pep,PetscInt *nsolve,KSP **ksp) | |
| 873 | { | ||
| 874 | 65 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 875 | 65 | SlepcContourData contour; | |
| 876 | 65 | PetscInt i,nsplit; | |
| 877 | 65 | PC pc; | |
| 878 | 65 | MPI_Comm child; | |
| 879 | |||
| 880 |
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65 | PetscFunctionBegin; |
| 881 |
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65 | if (!ctx->contour) { /* initialize contour data structure first */ |
| 882 |
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65 | PetscCall(RGCanUseConjugates(pep->rg,ctx->isreal,&ctx->useconj)); |
| 883 |
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65 | PetscCall(SlepcContourDataCreate(ctx->useconj?ctx->N/2:ctx->N,ctx->npart,(PetscObject)pep,&ctx->contour)); |
| 884 | } | ||
| 885 | 65 | contour = ctx->contour; | |
| 886 |
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65 | if (!contour->ksp) { |
| 887 |
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65 | PetscCall(PetscMalloc1(contour->npoints,&contour->ksp)); |
| 888 |
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65 | PetscCall(PEPGetST(pep,&pep->st)); |
| 889 |
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65 | PetscCall(STGetSplitPreconditionerInfo(pep->st,&nsplit,NULL)); |
| 890 |
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65 | PetscCall(PetscSubcommGetChild(contour->subcomm,&child)); |
| 891 |
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|
1925 | for (i=0;i<contour->npoints;i++) { |
| 892 |
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|
1860 | PetscCall(KSPCreate(child,&contour->ksp[i])); |
| 893 |
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1860 | PetscCall(PetscObjectIncrementTabLevel((PetscObject)contour->ksp[i],(PetscObject)pep,1)); |
| 894 |
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1860 | PetscCall(KSPSetOptionsPrefix(contour->ksp[i],((PetscObject)pep)->prefix)); |
| 895 |
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1860 | PetscCall(KSPAppendOptionsPrefix(contour->ksp[i],"pep_ciss_")); |
| 896 |
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1860 | PetscCall(PetscObjectSetOptions((PetscObject)contour->ksp[i],((PetscObject)pep)->options)); |
| 897 |
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1860 | PetscCall(KSPSetErrorIfNotConverged(contour->ksp[i],PETSC_TRUE)); |
| 898 |
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|
3560 | PetscCall(KSPSetTolerances(contour->ksp[i],SlepcDefaultTol(pep->tol),PETSC_CURRENT,PETSC_CURRENT,PETSC_CURRENT)); |
| 899 |
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|
1860 | PetscCall(KSPGetPC(contour->ksp[i],&pc)); |
| 900 |
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1860 | if (nsplit) { |
| 901 |
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320 | PetscCall(KSPSetType(contour->ksp[i],KSPBCGS)); |
| 902 |
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|
320 | PetscCall(PCSetType(pc,PCBJACOBI)); |
| 903 | } else { | ||
| 904 |
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1540 | PetscCall(KSPSetType(contour->ksp[i],KSPPREONLY)); |
| 905 |
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|
1860 | PetscCall(PCSetType(pc,PCLU)); |
| 906 | } | ||
| 907 | } | ||
| 908 | } | ||
| 909 |
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65 | if (nsolve) *nsolve = contour->npoints; |
| 910 |
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65 | if (ksp) *ksp = contour->ksp; |
| 911 |
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|
13 | PetscFunctionReturn(PETSC_SUCCESS); |
| 912 | } | ||
| 913 | |||
| 914 | /*@C | ||
| 915 | PEPCISSGetKSPs - Retrieve the array of linear solver objects associated with | ||
| 916 | the CISS solver. | ||
| 917 | |||
| 918 | Collective | ||
| 919 | |||
| 920 | Input Parameter: | ||
| 921 | . pep - the polynomial eigensolver context | ||
| 922 | |||
| 923 | Output Parameters: | ||
| 924 | + nsolve - number of solver objects | ||
| 925 | - ksp - array of linear solver objects | ||
| 926 | |||
| 927 | Notes: | ||
| 928 | The number of `KSP` solvers is equal to the number of integration points divided by | ||
| 929 | the number of partitions. This value is halved in the case of real matrices with | ||
| 930 | a region centered at the real axis. | ||
| 931 | |||
| 932 | Level: advanced | ||
| 933 | |||
| 934 | .seealso: [](ch:pep), `PEPCISS`, `PEPCISSSetSizes()` | ||
| 935 | @*/ | ||
| 936 | 65 | PetscErrorCode PEPCISSGetKSPs(PEP pep,PetscInt *nsolve,KSP **ksp) | |
| 937 | { | ||
| 938 |
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65 | PetscFunctionBegin; |
| 939 |
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65 | PetscValidHeaderSpecific(pep,PEP_CLASSID,1); |
| 940 |
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65 | PetscUseMethod(pep,"PEPCISSGetKSPs_C",(PEP,PetscInt*,KSP**),(pep,nsolve,ksp)); |
| 941 |
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65 | PetscFunctionReturn(PETSC_SUCCESS); |
| 942 | } | ||
| 943 | |||
| 944 | 65 | static PetscErrorCode PEPReset_CISS(PEP pep) | |
| 945 | { | ||
| 946 | 65 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 947 | |||
| 948 |
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65 | PetscFunctionBegin; |
| 949 |
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65 | PetscCall(BVDestroy(&ctx->S)); |
| 950 |
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65 | PetscCall(BVDestroy(&ctx->V)); |
| 951 |
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65 | PetscCall(BVDestroy(&ctx->Y)); |
| 952 |
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65 | PetscCall(SlepcContourDataReset(ctx->contour)); |
| 953 |
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65 | PetscCall(MatDestroy(&ctx->J)); |
| 954 |
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65 | PetscCall(BVDestroy(&ctx->pV)); |
| 955 |
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65 | PetscCall(PetscFree(ctx->Psplit)); |
| 956 |
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13 | PetscFunctionReturn(PETSC_SUCCESS); |
| 957 | } | ||
| 958 | |||
| 959 | 65 | static PetscErrorCode PEPSetFromOptions_CISS(PEP pep,PetscOptionItems PetscOptionsObject) | |
| 960 | { | ||
| 961 | 65 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 962 | 65 | PetscReal r1,r2; | |
| 963 | 65 | PetscInt i,i1,i2,i3,i4,i5,i6,i7; | |
| 964 | 65 | PetscBool b1,flg,flg2,flg3,flg4,flg5,flg6; | |
| 965 | 65 | PEPCISSExtraction extraction; | |
| 966 | |||
| 967 |
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65 | PetscFunctionBegin; |
| 968 |
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65 | PetscOptionsHeadBegin(PetscOptionsObject,"PEP CISS Options"); |
| 969 | |||
| 970 |
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65 | PetscCall(PEPCISSGetSizes(pep,&i1,&i2,&i3,&i4,&i5,&b1)); |
| 971 |
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65 | PetscCall(PetscOptionsInt("-pep_ciss_integration_points","Number of integration points","PEPCISSSetSizes",i1,&i1,&flg)); |
| 972 |
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65 | PetscCall(PetscOptionsInt("-pep_ciss_blocksize","Block size","PEPCISSSetSizes",i2,&i2,&flg2)); |
| 973 |
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65 | PetscCall(PetscOptionsInt("-pep_ciss_moments","Moment size","PEPCISSSetSizes",i3,&i3,&flg3)); |
| 974 |
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65 | PetscCall(PetscOptionsInt("-pep_ciss_partitions","Number of partitions","PEPCISSSetSizes",i4,&i4,&flg4)); |
| 975 |
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65 | PetscCall(PetscOptionsInt("-pep_ciss_maxblocksize","Maximum block size","PEPCISSSetSizes",i5,&i5,&flg5)); |
| 976 |
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65 | PetscCall(PetscOptionsBool("-pep_ciss_realmats","True if all coefficient matrices of P(.) are real","PEPCISSSetSizes",b1,&b1,&flg6)); |
| 977 |
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65 | if (flg || flg2 || flg3 || flg4 || flg5 || flg6) PetscCall(PEPCISSSetSizes(pep,i1,i2,i3,i4,i5,b1)); |
| 978 | |||
| 979 |
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65 | PetscCall(PEPCISSGetThreshold(pep,&r1,&r2)); |
| 980 |
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65 | PetscCall(PetscOptionsReal("-pep_ciss_delta","Threshold for numerical rank","PEPCISSSetThreshold",r1,&r1,&flg)); |
| 981 |
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65 | PetscCall(PetscOptionsReal("-pep_ciss_spurious_threshold","Threshold for the spurious eigenpairs","PEPCISSSetThreshold",r2,&r2,&flg2)); |
| 982 |
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65 | if (flg || flg2) PetscCall(PEPCISSSetThreshold(pep,r1,r2)); |
| 983 | |||
| 984 |
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65 | PetscCall(PEPCISSGetRefinement(pep,&i6,&i7)); |
| 985 |
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65 | PetscCall(PetscOptionsInt("-pep_ciss_refine_inner","Number of inner iterative refinement iterations","PEPCISSSetRefinement",i6,&i6,&flg)); |
| 986 |
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65 | PetscCall(PetscOptionsInt("-pep_ciss_refine_blocksize","Number of blocksize iterative refinement iterations","PEPCISSSetRefinement",i7,&i7,&flg2)); |
| 987 |
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65 | if (flg || flg2) PetscCall(PEPCISSSetRefinement(pep,i6,i7)); |
| 988 | |||
| 989 |
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65 | PetscCall(PetscOptionsEnum("-pep_ciss_extraction","Extraction technique","PEPCISSSetExtraction",PEPCISSExtractions,(PetscEnum)ctx->extraction,(PetscEnum*)&extraction,&flg)); |
| 990 |
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65 | if (flg) PetscCall(PEPCISSSetExtraction(pep,extraction)); |
| 991 | |||
| 992 |
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65 | PetscOptionsHeadEnd(); |
| 993 | |||
| 994 |
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65 | if (!pep->rg) PetscCall(PEPGetRG(pep,&pep->rg)); |
| 995 |
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65 | PetscCall(RGSetFromOptions(pep->rg)); /* this is necessary here to set useconj */ |
| 996 |
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65 | if (!ctx->contour || !ctx->contour->ksp) PetscCall(PEPCISSGetKSPs(pep,NULL,NULL)); |
| 997 |
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13 | PetscAssert(ctx->contour && ctx->contour->ksp,PetscObjectComm((PetscObject)pep),PETSC_ERR_PLIB,"Something went wrong with PEPCISSGetKSPs()"); |
| 998 |
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|
1925 | for (i=0;i<ctx->contour->npoints;i++) PetscCall(KSPSetFromOptions(ctx->contour->ksp[i])); |
| 999 |
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65 | PetscCall(PetscSubcommSetFromOptions(ctx->contour->subcomm)); |
| 1000 |
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13 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1001 | } | ||
| 1002 | |||
| 1003 | 65 | static PetscErrorCode PEPDestroy_CISS(PEP pep) | |
| 1004 | { | ||
| 1005 | 65 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 1006 | |||
| 1007 |
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65 | PetscFunctionBegin; |
| 1008 |
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65 | PetscCall(SlepcContourDataDestroy(&ctx->contour)); |
| 1009 |
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65 | PetscCall(PetscFree4(ctx->weight,ctx->omega,ctx->pp,ctx->sigma)); |
| 1010 |
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65 | PetscCall(PetscFree(pep->data)); |
| 1011 |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSSetSizes_C",NULL)); |
| 1012 |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSGetSizes_C",NULL)); |
| 1013 |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSSetThreshold_C",NULL)); |
| 1014 |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSGetThreshold_C",NULL)); |
| 1015 |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSSetRefinement_C",NULL)); |
| 1016 |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSGetRefinement_C",NULL)); |
| 1017 |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSSetExtraction_C",NULL)); |
| 1018 |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSGetExtraction_C",NULL)); |
| 1019 |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSGetKSPs_C",NULL)); |
| 1020 |
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13 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1021 | } | ||
| 1022 | |||
| 1023 | ✗ | static PetscErrorCode PEPView_CISS(PEP pep,PetscViewer viewer) | |
| 1024 | { | ||
| 1025 | ✗ | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 1026 | ✗ | PetscBool isascii; | |
| 1027 | ✗ | PetscViewer sviewer; | |
| 1028 | |||
| 1029 | ✗ | PetscFunctionBegin; | |
| 1030 | ✗ | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); | |
| 1031 | ✗ | if (isascii) { | |
| 1032 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," sizes { integration points: %" PetscInt_FMT ", block size: %" PetscInt_FMT ", moment size: %" PetscInt_FMT ", partitions: %" PetscInt_FMT ", maximum block size: %" PetscInt_FMT " }\n",ctx->N,ctx->L,ctx->M,ctx->npart,ctx->L_max)); | |
| 1033 | ✗ | if (ctx->isreal) PetscCall(PetscViewerASCIIPrintf(viewer," exploiting symmetry of integration points\n")); | |
| 1034 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," threshold { delta: %g, spurious threshold: %g }\n",(double)ctx->delta,(double)ctx->spurious_threshold)); | |
| 1035 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," iterative refinement { inner: %" PetscInt_FMT ", blocksize: %" PetscInt_FMT " }\n",ctx->refine_inner, ctx->refine_blocksize)); | |
| 1036 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," extraction: %s\n",PEPCISSExtractions[ctx->extraction])); | |
| 1037 | ✗ | if (!ctx->contour || !ctx->contour->ksp) PetscCall(PEPCISSGetKSPs(pep,NULL,NULL)); | |
| 1038 | ✗ | PetscAssert(ctx->contour && ctx->contour->ksp,PetscObjectComm((PetscObject)pep),PETSC_ERR_PLIB,"Something went wrong with PEPCISSGetKSPs()"); | |
| 1039 | ✗ | PetscCall(PetscViewerASCIIPushTab(viewer)); | |
| 1040 | ✗ | if (ctx->npart>1 && ctx->contour->subcomm) { | |
| 1041 | ✗ | PetscCall(PetscViewerGetSubViewer(viewer,ctx->contour->subcomm->child,&sviewer)); | |
| 1042 | ✗ | if (!ctx->contour->subcomm->color) PetscCall(KSPView(ctx->contour->ksp[0],sviewer)); | |
| 1043 | ✗ | PetscCall(PetscViewerFlush(sviewer)); | |
| 1044 | ✗ | PetscCall(PetscViewerRestoreSubViewer(viewer,ctx->contour->subcomm->child,&sviewer)); | |
| 1045 | /* extra call needed because of the two calls to PetscViewerASCIIPushSynchronized() in PetscViewerGetSubViewer() */ | ||
| 1046 | ✗ | PetscCall(PetscViewerASCIIPopSynchronized(viewer)); | |
| 1047 | ✗ | } else PetscCall(KSPView(ctx->contour->ksp[0],viewer)); | |
| 1048 | ✗ | PetscCall(PetscViewerASCIIPopTab(viewer)); | |
| 1049 | } | ||
| 1050 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 1051 | } | ||
| 1052 | |||
| 1053 | 130 | static PetscErrorCode PEPSetDSType_CISS(PEP pep) | |
| 1054 | { | ||
| 1055 | 130 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 1056 | |||
| 1057 |
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130 | PetscFunctionBegin; |
| 1058 |
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130 | switch (ctx->extraction) { |
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100 | case PEP_CISS_EXTRACTION_RITZ: PetscCall(DSSetType(pep->ds,DSPEP)); break; |
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20 | case PEP_CISS_EXTRACTION_HANKEL: PetscCall(DSSetType(pep->ds,DSGNHEP)); break; |
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10 | case PEP_CISS_EXTRACTION_CAA: PetscCall(DSSetType(pep->ds,DSNHEP)); break; |
| 1062 | } | ||
| 1063 |
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26 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1064 | } | ||
| 1065 | |||
| 1066 | /*MC | ||
| 1067 | PEPCISS - PEPCISS = "ciss" - A contour integral eigensolver based on the | ||
| 1068 | Sakurai-Sugiura scheme. | ||
| 1069 | |||
| 1070 | Notes: | ||
| 1071 | This solver is based on the numerical contour integration idea | ||
| 1072 | proposed initially for linear problems by {cite:t}`Sak03`. In polynomial | ||
| 1073 | eigenproblems, a Rayleigh-Ritz projection is done, resulting in | ||
| 1074 | a small dense polynomial eigenproblem {cite:p}`Asa10`. | ||
| 1075 | |||
| 1076 | Contour integral methods are able to compute all eigenvalues | ||
| 1077 | lying inside a region of the complex plane. Use `PEPGetRG()` to | ||
| 1078 | specify the region. However, the computational cost is usually high | ||
| 1079 | because multiple linear systems must be solved. Use `PEPCISSGetKSPs()` | ||
| 1080 | to configure the `KSP` objects for this. | ||
| 1081 | |||
| 1082 | Details of the implementation in SLEPc can be found in {cite:p}`Mae16`. | ||
| 1083 | |||
| 1084 | Level: beginner | ||
| 1085 | |||
| 1086 | .seealso: [](ch:pep), `PEP`, `PEPType`, `PEPSetType()`, `PEPGetRG()`, `PEPCISSGetKSPs()` | ||
| 1087 | M*/ | ||
| 1088 | 65 | SLEPC_EXTERN PetscErrorCode PEPCreate_CISS(PEP pep) | |
| 1089 | { | ||
| 1090 | 65 | PEP_CISS *ctx = (PEP_CISS*)pep->data; | |
| 1091 | |||
| 1092 |
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65 | PetscFunctionBegin; |
| 1093 |
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65 | PetscCall(PetscNew(&ctx)); |
| 1094 | 65 | pep->data = ctx; | |
| 1095 | /* set default values of parameters */ | ||
| 1096 | 65 | ctx->N = 32; | |
| 1097 | 65 | ctx->L = 16; | |
| 1098 | 65 | ctx->M = ctx->N/4; | |
| 1099 | 65 | ctx->delta = SLEPC_DEFAULT_TOL*1e-4; | |
| 1100 | 65 | ctx->L_max = 64; | |
| 1101 | 65 | ctx->spurious_threshold = PetscSqrtReal(SLEPC_DEFAULT_TOL); | |
| 1102 | 65 | ctx->isreal = PETSC_FALSE; | |
| 1103 | 65 | ctx->npart = 1; | |
| 1104 | |||
| 1105 | 65 | pep->ops->solve = PEPSolve_CISS; | |
| 1106 | 65 | pep->ops->setup = PEPSetUp_CISS; | |
| 1107 | 65 | pep->ops->setfromoptions = PEPSetFromOptions_CISS; | |
| 1108 | 65 | pep->ops->reset = PEPReset_CISS; | |
| 1109 | 65 | pep->ops->destroy = PEPDestroy_CISS; | |
| 1110 | 65 | pep->ops->view = PEPView_CISS; | |
| 1111 | 65 | pep->ops->setdstype = PEPSetDSType_CISS; | |
| 1112 | |||
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSSetSizes_C",PEPCISSSetSizes_CISS)); |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSGetSizes_C",PEPCISSGetSizes_CISS)); |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSSetThreshold_C",PEPCISSSetThreshold_CISS)); |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSGetThreshold_C",PEPCISSGetThreshold_CISS)); |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSSetRefinement_C",PEPCISSSetRefinement_CISS)); |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSGetRefinement_C",PEPCISSGetRefinement_CISS)); |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSSetExtraction_C",PEPCISSSetExtraction_CISS)); |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSGetExtraction_C",PEPCISSGetExtraction_CISS)); |
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65 | PetscCall(PetscObjectComposeFunction((PetscObject)pep,"PEPCISSGetKSPs_C",PEPCISSGetKSPs_CISS)); |
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13 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1123 | } | ||
| 1124 |