| 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 | Common subroutines for all Krylov-type PEP solvers | ||
| 12 | */ | ||
| 13 | |||
| 14 | #include <slepc/private/pepimpl.h> /*I "slepcpep.h" I*/ | ||
| 15 | #include <slepcblaslapack.h> | ||
| 16 | #include "pepkrylov.h" | ||
| 17 | |||
| 18 | 885 | PetscErrorCode PEPExtractVectors_TOAR(PEP pep) | |
| 19 | { | ||
| 20 | 885 | PetscInt i,j,nq,deg=pep->nmat-1,lds,idxcpy=0,ldds,k,ld; | |
| 21 | 885 | PetscScalar *X,*er,*ei,*SS,*vals,*ivals,sone=1.0,szero=0.0,*yi,*yr,*tr,*ti,alpha,*pS0; | |
| 22 | 885 | const PetscScalar *S; | |
| 23 | 885 | PetscBLASInt k_,nq_,lds_,one=1,ldds_,cols,info,zero=0; | |
| 24 | 885 | PetscBool flg; | |
| 25 | 885 | PetscReal norm,max,t,factor=1.0,done=1.0; | |
| 26 | 885 | Vec xr,xi,w[4]; | |
| 27 | 885 | PEP_TOAR *ctx = (PEP_TOAR*)pep->data; | |
| 28 | 885 | Mat S0,MS; | |
| 29 | |||
| 30 |
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885 | PetscFunctionBegin; |
| 31 |
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885 | PetscCall(BVTensorGetFactors(ctx->V,NULL,&MS)); |
| 32 |
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885 | PetscCall(MatDenseGetArrayRead(MS,&S)); |
| 33 |
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885 | PetscCall(BVGetSizes(pep->V,NULL,NULL,&ld)); |
| 34 |
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885 | PetscCall(BVGetActiveColumns(pep->V,NULL,&nq)); |
| 35 | 885 | k = pep->nconv; | |
| 36 |
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885 | if (k==0) PetscFunctionReturn(PETSC_SUCCESS); |
| 37 | 885 | lds = deg*ld; | |
| 38 |
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885 | PetscCall(DSGetLeadingDimension(pep->ds,&ldds)); |
| 39 |
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885 | PetscCall(PetscCalloc5(k,&er,k,&ei,nq*k,&SS,pep->nmat,&vals,pep->nmat,&ivals)); |
| 40 |
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885 | PetscCall(STGetTransform(pep->st,&flg)); |
| 41 |
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885 | if (flg) factor = pep->sfactor; |
| 42 |
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5857 | for (i=0;i<k;i++) { |
| 43 | 4972 | er[i] = factor*pep->eigr[i]; | |
| 44 | 4972 | ei[i] = factor*pep->eigi[i]; | |
| 45 | } | ||
| 46 |
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885 | PetscCall(STBackTransform(pep->st,k,er,ei)); |
| 47 | |||
| 48 |
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885 | PetscCall(DSVectors(pep->ds,DS_MAT_X,NULL,NULL)); |
| 49 |
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885 | PetscCall(DSGetArray(pep->ds,DS_MAT_X,&X)); |
| 50 | |||
| 51 |
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885 | PetscCall(PetscBLASIntCast(k,&k_)); |
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885 | PetscCall(PetscBLASIntCast(nq,&nq_)); |
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885 | PetscCall(PetscBLASIntCast(lds,&lds_)); |
| 54 |
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885 | PetscCall(PetscBLASIntCast(ldds,&ldds_)); |
| 55 | |||
| 56 |
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885 | if (pep->extract==PEP_EXTRACT_NONE || pep->refine==PEP_REFINE_MULTIPLE) { |
| 57 |
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300 | PetscCallBLAS("BLASgemm",BLASgemm_("N","N",&nq_,&k_,&k_,&sone,S,&lds_,X,&ldds_,&szero,SS,&nq_)); |
| 58 | } else { | ||
| 59 |
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585 | switch (pep->extract) { |
| 60 | case PEP_EXTRACT_NONE: | ||
| 61 | break; | ||
| 62 | case PEP_EXTRACT_NORM: | ||
| 63 |
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3125 | for (i=0;i<k;i++) { |
| 64 |
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2585 | PetscCall(PEPEvaluateBasis(pep,er[i],ei[i],vals,ivals)); |
| 65 | max = 1.0; | ||
| 66 |
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5386 | for (j=1;j<deg;j++) { |
| 67 | 2801 | norm = SlepcAbsEigenvalue(vals[j],ivals[j]); | |
| 68 |
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2801 | if (max < norm) { max = norm; idxcpy = j; } |
| 69 | } | ||
| 70 |
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2585 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&nq_,&k_,&sone,S+idxcpy*ld,&lds_,X+i*ldds,&one,&szero,SS+i*nq,&one)); |
| 71 | #if !defined(PETSC_USE_COMPLEX) | ||
| 72 |
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1230 | if (PetscRealPart(ei[i])!=0.0) { |
| 73 | 211 | i++; | |
| 74 |
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1230 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&nq_,&k_,&sone,S+idxcpy*ld,&lds_,X+i*ldds,&one,&szero,SS+i*nq,&one)); |
| 75 | } | ||
| 76 | #endif | ||
| 77 | } | ||
| 78 | break; | ||
| 79 | 24 | case PEP_EXTRACT_RESIDUAL: | |
| 80 |
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24 | PetscCall(VecDuplicate(pep->work[0],&xr)); |
| 81 |
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24 | PetscCall(VecDuplicate(pep->work[0],&w[0])); |
| 82 |
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24 | PetscCall(VecDuplicate(pep->work[0],&w[1])); |
| 83 | #if !defined(PETSC_USE_COMPLEX) | ||
| 84 |
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12 | PetscCall(VecDuplicate(pep->work[0],&w[2])); |
| 85 |
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12 | PetscCall(VecDuplicate(pep->work[0],&w[3])); |
| 86 |
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12 | PetscCall(VecDuplicate(pep->work[0],&xi)); |
| 87 | #else | ||
| 88 | 23 | xi = NULL; | |
| 89 | #endif | ||
| 90 |
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184 | for (i=0;i<k;i++) { |
| 91 | max = 0.0; | ||
| 92 |
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504 | for (j=0;j<deg;j++) { |
| 93 |
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344 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&nq_,&k_,&sone,S+j*ld,&lds_,X+i*ldds,&one,&szero,SS+i*nq,&one)); |
| 94 |
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344 | PetscCall(BVMultVec(pep->V,1.0,0.0,xr,SS+i*nq)); |
| 95 | #if !defined(PETSC_USE_COMPLEX) | ||
| 96 |
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172 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&nq_,&k_,&sone,S+j*ld,&lds_,X+(i+1)*ldds,&one,&szero,SS+i*nq,&one)); |
| 97 |
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172 | PetscCall(BVMultVec(pep->V,1.0,0.0,xi,SS+i*nq)); |
| 98 | #endif | ||
| 99 |
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344 | PetscCall(PEPComputeResidualNorm_Private(pep,er[i],ei[i],xr,xi,w,&norm)); |
| 100 |
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344 | if (norm>max) { max = norm; idxcpy=j; } |
| 101 | } | ||
| 102 |
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160 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&nq_,&k_,&sone,S+idxcpy*ld,&lds_,X+i*ldds,&one,&szero,SS+i*nq,&one)); |
| 103 | #if !defined(PETSC_USE_COMPLEX) | ||
| 104 |
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80 | if (PetscRealPart(ei[i])!=0.0) { |
| 105 | 12 | i++; | |
| 106 |
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80 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&nq_,&k_,&sone,S+idxcpy*ld,&lds_,X+i*ldds,&one,&szero,SS+i*nq,&one)); |
| 107 | } | ||
| 108 | #endif | ||
| 109 | } | ||
| 110 |
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24 | PetscCall(VecDestroy(&xr)); |
| 111 |
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24 | PetscCall(VecDestroy(&w[0])); |
| 112 |
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24 | PetscCall(VecDestroy(&w[1])); |
| 113 | #if !defined(PETSC_USE_COMPLEX) | ||
| 114 |
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12 | PetscCall(VecDestroy(&w[2])); |
| 115 |
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12 | PetscCall(VecDestroy(&w[3])); |
| 116 |
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12 | PetscCall(VecDestroy(&xi)); |
| 117 | #endif | ||
| 118 | break; | ||
| 119 | 21 | case PEP_EXTRACT_STRUCTURED: | |
| 120 |
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21 | PetscCall(PetscMalloc2(k,&tr,k,&ti)); |
| 121 |
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181 | for (i=0;i<k;i++) { |
| 122 | 160 | t = 0.0; | |
| 123 |
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160 | PetscCall(PEPEvaluateBasis(pep,er[i],ei[i],vals,ivals)); |
| 124 | 160 | yr = X+i*ldds; yi = NULL; | |
| 125 | #if !defined(PETSC_USE_COMPLEX) | ||
| 126 |
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80 | if (ei[i]!=0.0) { yr = tr; yi = ti; } |
| 127 | #endif | ||
| 128 |
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480 | for (j=0;j<deg;j++) { |
| 129 | 320 | alpha = PetscConj(vals[j]); | |
| 130 | #if !defined(PETSC_USE_COMPLEX) | ||
| 131 |
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160 | if (ei[i]!=0.0) { |
| 132 | ✗ | PetscCall(PetscArrayzero(tr,k)); | |
| 133 | ✗ | PetscCallBLAS("BLASaxpy",BLASaxpy_(&k_,&vals[j],X+i*ldds,&one,tr,&one)); | |
| 134 | ✗ | PetscCallBLAS("BLASaxpy",BLASaxpy_(&k_,&ivals[j],X+(i+1)*ldds,&one,tr,&one)); | |
| 135 | ✗ | PetscCall(PetscArrayzero(ti,k)); | |
| 136 | ✗ | PetscCallBLAS("BLASaxpy",BLASaxpy_(&k_,&vals[j],X+(i+1)*ldds,&one,ti,&one)); | |
| 137 | ✗ | alpha = -ivals[j]; | |
| 138 | ✗ | PetscCallBLAS("BLASaxpy",BLASaxpy_(&k_,&alpha,X+i*ldds,&one,ti,&one)); | |
| 139 | ✗ | alpha = 1.0; | |
| 140 | } | ||
| 141 | #endif | ||
| 142 |
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320 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&nq_,&k_,&alpha,S+j*ld,&lds_,yr,&one,&sone,SS+i*nq,&one)); |
| 143 | 320 | t += SlepcAbsEigenvalue(vals[j],ivals[j])*SlepcAbsEigenvalue(vals[j],ivals[j]); | |
| 144 |
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320 | if (yi) { |
| 145 |
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320 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&nq_,&k_,&alpha,S+j*ld,&lds_,yi,&one,&sone,SS+(i+1)*nq,&one)); |
| 146 | } | ||
| 147 | } | ||
| 148 |
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160 | cols = yi? 2: 1; |
| 149 |
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160 | PetscCallBLAS("LAPACKlascl",LAPACKlascl_("G",&zero,&zero,&t,&done,&nq_,&cols,SS+i*nq,&nq_,&info)); |
| 150 |
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160 | SlepcCheckLapackInfo("lascl",info); |
| 151 |
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160 | if (yi) i++; |
| 152 | } | ||
| 153 |
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21 | PetscCall(PetscFree2(tr,ti)); |
| 154 | break; | ||
| 155 | } | ||
| 156 | 107 | } | |
| 157 | |||
| 158 | /* update vectors V = V*S */ | ||
| 159 |
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885 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nq,k,NULL,&S0)); |
| 160 |
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885 | PetscCall(MatDenseGetArrayWrite(S0,&pS0)); |
| 161 |
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5857 | for (i=0;i<k;i++) PetscCall(PetscArraycpy(pS0+i*nq,SS+i*nq,nq)); |
| 162 |
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885 | PetscCall(MatDenseRestoreArrayWrite(S0,&pS0)); |
| 163 |
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885 | PetscCall(BVMultInPlace(pep->V,S0,0,k)); |
| 164 |
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885 | PetscCall(MatDestroy(&S0)); |
| 165 |
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885 | PetscCall(PetscFree5(er,ei,SS,vals,ivals)); |
| 166 |
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885 | PetscCall(MatDenseRestoreArrayRead(MS,&S)); |
| 167 |
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885 | PetscCall(BVTensorRestoreFactors(ctx->V,NULL,&MS)); |
| 168 |
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218 | PetscFunctionReturn(PETSC_SUCCESS); |
| 169 | } | ||
| 170 | |||
| 171 | /* | ||
| 172 | PEPKrylovConvergence - This is the analogue to EPSKrylovConvergence, but | ||
| 173 | for polynomial Krylov methods. | ||
| 174 | |||
| 175 | Differences: | ||
| 176 | - Always non-symmetric | ||
| 177 | - Does not check for STSHIFT | ||
| 178 | - No correction factor | ||
| 179 | - No support for true residual | ||
| 180 | */ | ||
| 181 | 10654 | PetscErrorCode PEPKrylovConvergence(PEP pep,PetscBool getall,PetscInt kini,PetscInt nits,PetscReal beta,PetscInt *kout) | |
| 182 | { | ||
| 183 | 10654 | PetscInt k,newk,marker,inside; | |
| 184 | 10654 | PetscScalar re,im; | |
| 185 | 10654 | PetscReal resnorm; | |
| 186 | 10654 | PetscBool istrivial; | |
| 187 | |||
| 188 |
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10654 | PetscFunctionBegin; |
| 189 |
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10654 | PetscCall(RGIsTrivial(pep->rg,&istrivial)); |
| 190 | 10654 | marker = -1; | |
| 191 |
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10654 | if (pep->trackall) getall = PETSC_TRUE; |
| 192 |
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19361 | for (k=kini;k<kini+nits;k++) { |
| 193 | /* eigenvalue */ | ||
| 194 | 19310 | re = pep->eigr[k]; | |
| 195 | 19310 | im = pep->eigi[k]; | |
| 196 |
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19310 | if (PetscUnlikely(!istrivial)) { |
| 197 |
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3693 | PetscCall(STBackTransform(pep->st,1,&re,&im)); |
| 198 |
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3693 | PetscCall(RGCheckInside(pep->rg,1,&re,&im,&inside)); |
| 199 |
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3693 | if (marker==-1 && inside<0) marker = k; |
| 200 | 3693 | re = pep->eigr[k]; | |
| 201 | 3693 | im = pep->eigi[k]; | |
| 202 | } | ||
| 203 | 19310 | newk = k; | |
| 204 |
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19310 | PetscCall(DSVectors(pep->ds,DS_MAT_X,&newk,&resnorm)); |
| 205 | 19310 | resnorm *= beta; | |
| 206 | /* error estimate */ | ||
| 207 |
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19310 | PetscCall((*pep->converged)(pep,re,im,resnorm,&pep->errest[k],pep->convergedctx)); |
| 208 |
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19310 | if (marker==-1 && pep->errest[k] >= pep->tol) marker = k; |
| 209 |
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19310 | if (PetscUnlikely(newk==k+1)) { |
| 210 | 1382 | pep->errest[k+1] = pep->errest[k]; | |
| 211 | 1382 | k++; | |
| 212 | } | ||
| 213 |
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19310 | if (marker!=-1 && !getall) break; |
| 214 | } | ||
| 215 |
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10654 | if (marker!=-1) k = marker; |
| 216 | 10654 | *kout = k; | |
| 217 |
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10654 | PetscFunctionReturn(PETSC_SUCCESS); |
| 218 | } | ||
| 219 |