Date: 2023-09-05T10:17:48+00:00

Actual source code: scalapack.c
slepc-3.19.2 2023-09-05
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.
      7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
      8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      9: */
     10: /*
     11:    This file implements a wrapper to eigensolvers in ScaLAPACK.
     12: */

     14: #include <slepc/private/epsimpl.h>
     15: #include <slepc/private/slepcscalapack.h>

     17: typedef struct {
     18:   Mat As,Bs;        /* converted matrices */
     19: } EPS_ScaLAPACK;

     21: PetscErrorCode EPSSetUp_ScaLAPACK(EPS eps)
     22: {
     23:   EPS_ScaLAPACK  *ctx = (EPS_ScaLAPACK*)eps->data;
     24:   Mat            A,B;
     25:   PetscInt       nmat;
     26:   PetscBool      isshift;
     27:   PetscScalar    shift;

     29:   PetscFunctionBegin;
     30:   EPSCheckHermitianDefinite(eps);
     31:   PetscCall(PetscObjectTypeCompare((PetscObject)eps->st,STSHIFT,&isshift));
     32:   PetscCheck(isshift,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver does not support spectral transformations");
     33:   eps->ncv = eps->n;
     34:   if (eps->mpd!=PETSC_DEFAULT) PetscCall(PetscInfo(eps,"Warning: parameter mpd ignored\n"));
     35:   if (eps->max_it==PETSC_DEFAULT) eps->max_it = 1;
     36:   if (!eps->which) PetscCall(EPSSetWhichEigenpairs_Default(eps));
     37:   PetscCheck(eps->which!=EPS_ALL || eps->inta==eps->intb,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver does not support interval computation");
     38:   EPSCheckUnsupported(eps,EPS_FEATURE_BALANCE | EPS_FEATURE_ARBITRARY | EPS_FEATURE_REGION | EPS_FEATURE_STOPPING);
     39:   EPSCheckIgnored(eps,EPS_FEATURE_EXTRACTION | EPS_FEATURE_CONVERGENCE);
     40:   PetscCall(EPSAllocateSolution(eps,0));

     42:   /* convert matrices */
     43:   PetscCall(MatDestroy(&ctx->As));
     44:   PetscCall(MatDestroy(&ctx->Bs));
     45:   PetscCall(STGetNumMatrices(eps->st,&nmat));
     46:   PetscCall(STGetMatrix(eps->st,0,&A));
     47:   PetscCall(MatConvert(A,MATSCALAPACK,MAT_INITIAL_MATRIX,&ctx->As));
     48:   if (nmat>1) {
     49:     PetscCall(STGetMatrix(eps->st,1,&B));
     50:     PetscCall(MatConvert(B,MATSCALAPACK,MAT_INITIAL_MATRIX,&ctx->Bs));
     51:   }
     52:   PetscCall(STGetShift(eps->st,&shift));
     53:   if (shift != 0.0) {
     54:     if (nmat>1) PetscCall(MatAXPY(ctx->As,-shift,ctx->Bs,SAME_NONZERO_PATTERN));
     55:     else PetscCall(MatShift(ctx->As,-shift));
     56:   }
     57:   PetscFunctionReturn(PETSC_SUCCESS);
     58: }

     60: PetscErrorCode EPSSolve_ScaLAPACK(EPS eps)
     61: {
     62:   EPS_ScaLAPACK  *ctx = (EPS_ScaLAPACK*)eps->data;
     63:   Mat            A = ctx->As,B = ctx->Bs,Q,V;
     64:   Mat_ScaLAPACK  *a = (Mat_ScaLAPACK*)A->data,*b,*q;
     65:   PetscReal      rdummy=0.0,abstol=0.0,*gap=NULL,orfac=-1.0,*w = eps->errest;  /* used to store real eigenvalues */
     66:   PetscScalar    *work,minlwork[3];
     67:   PetscBLASInt   i,m,info,idummy=0,lwork=-1,liwork=-1,minliwork,*iwork,*ifail=NULL,*iclustr=NULL,one=1;
     68: #if defined(PETSC_USE_COMPLEX)
     69:   PetscReal      *rwork,minlrwork[3];
     70:   PetscBLASInt   lrwork=-1;
     71: #endif

     73:   PetscFunctionBegin;
     74:   PetscCall(MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&Q));
     75:   PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
     76:   q = (Mat_ScaLAPACK*)Q->data;

     78:   if (B) {

     80:     b = (Mat_ScaLAPACK*)B->data;
     81:     PetscCall(PetscMalloc3(a->grid->nprow*a->grid->npcol,&gap,a->N,&ifail,2*a->grid->nprow*a->grid->npcol,&iclustr));
     82: #if !defined(PETSC_USE_COMPLEX)
     83:     /* allocate workspace */
     84:     PetscCallBLAS("SCALAPACKsygvx",SCALAPACKsygvx_(&one,"V","A","L",&a->N,a->loc,&one,&one,a->desc,b->loc,&one,&one,b->desc,&rdummy,&rdummy,&idummy,&idummy,&abstol,&m,&idummy,w,&orfac,q->loc,&one,&one,q->desc,minlwork,&lwork,&minliwork,&liwork,ifail,iclustr,gap,&info));
     85:     PetscCheckScaLapackInfo("sygvx",info);
     86:     PetscCall(PetscBLASIntCast((PetscInt)minlwork[0],&lwork));
     87:     liwork = minliwork;
     88:     /* call computational routine */
     89:     PetscCall(PetscMalloc2(lwork,&work,liwork,&iwork));
     90:     PetscCallBLAS("SCALAPACKsygvx",SCALAPACKsygvx_(&one,"V","A","L",&a->N,a->loc,&one,&one,a->desc,b->loc,&one,&one,b->desc,&rdummy,&rdummy,&idummy,&idummy,&abstol,&m,&idummy,w,&orfac,q->loc,&one,&one,q->desc,work,&lwork,iwork,&liwork,ifail,iclustr,gap,&info));
     91:     PetscCheckScaLapackInfo("sygvx",info);
     92:     PetscCall(PetscFree2(work,iwork));
     93: #else
     94:     /* allocate workspace */
     95:     PetscCallBLAS("SCALAPACKsygvx",SCALAPACKsygvx_(&one,"V","A","L",&a->N,a->loc,&one,&one,a->desc,b->loc,&one,&one,b->desc,&rdummy,&rdummy,&idummy,&idummy,&abstol,&m,&idummy,w,&orfac,q->loc,&one,&one,q->desc,minlwork,&lwork,minlrwork,&lrwork,&minliwork,&liwork,ifail,iclustr,gap,&info));
     96:     PetscCheckScaLapackInfo("sygvx",info);
     97:     PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(minlwork[0]),&lwork));
     98:     PetscCall(PetscBLASIntCast((PetscInt)minlrwork[0],&lrwork));
     99:     lrwork += a->N*a->N;
    100:     liwork = minliwork;
    101:     /* call computational routine */
    102:     PetscCall(PetscMalloc3(lwork,&work,lrwork,&rwork,liwork,&iwork));
    103:     PetscCallBLAS("SCALAPACKsygvx",SCALAPACKsygvx_(&one,"V","A","L",&a->N,a->loc,&one,&one,a->desc,b->loc,&one,&one,b->desc,&rdummy,&rdummy,&idummy,&idummy,&abstol,&m,&idummy,w,&orfac,q->loc,&one,&one,q->desc,work,&lwork,rwork,&lrwork,iwork,&liwork,ifail,iclustr,gap,&info));
    104:     PetscCheckScaLapackInfo("sygvx",info);
    105:     PetscCall(PetscFree3(work,rwork,iwork));
    106: #endif
    107:     PetscCall(PetscFree3(gap,ifail,iclustr));

    109:   } else {

    111: #if !defined(PETSC_USE_COMPLEX)
    112:     /* allocate workspace */
    113:     PetscCallBLAS("SCALAPACKsyev",SCALAPACKsyev_("V","L",&a->N,a->loc,&one,&one,a->desc,w,q->loc,&one,&one,q->desc,minlwork,&lwork,&info));
    114:     PetscCheckScaLapackInfo("syev",info);
    115:     PetscCall(PetscBLASIntCast((PetscInt)minlwork[0],&lwork));
    116:     PetscCall(PetscMalloc1(lwork,&work));
    117:     /* call computational routine */
    118:     PetscCallBLAS("SCALAPACKsyev",SCALAPACKsyev_("V","L",&a->N,a->loc,&one,&one,a->desc,w,q->loc,&one,&one,q->desc,work,&lwork,&info));
    119:     PetscCheckScaLapackInfo("syev",info);
    120:     PetscCall(PetscFree(work));
    121: #else
    122:     /* allocate workspace */
    123:     PetscCallBLAS("SCALAPACKsyev",SCALAPACKsyev_("V","L",&a->N,a->loc,&one,&one,a->desc,w,q->loc,&one,&one,q->desc,minlwork,&lwork,minlrwork,&lrwork,&info));
    124:     PetscCheckScaLapackInfo("syev",info);
    125:     PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(minlwork[0]),&lwork));
    126:     lrwork = 4*a->N;  /* PetscCall(PetscBLASIntCast((PetscInt)minlrwork[0],&lrwork)); */
    127:     PetscCall(PetscMalloc2(lwork,&work,lrwork,&rwork));
    128:     /* call computational routine */
    129:     PetscCallBLAS("SCALAPACKsyev",SCALAPACKsyev_("V","L",&a->N,a->loc,&one,&one,a->desc,w,q->loc,&one,&one,q->desc,work,&lwork,rwork,&lrwork,&info));
    130:     PetscCheckScaLapackInfo("syev",info);
    131:     PetscCall(PetscFree2(work,rwork));
    132: #endif

    134:   }
    135:   PetscCall(PetscFPTrapPop());

    137:   for (i=0;i<eps->ncv;i++) {
    138:     eps->eigr[i]   = eps->errest[i];
    139:     eps->errest[i] = PETSC_MACHINE_EPSILON;
    140:   }

    142:   PetscCall(BVGetMat(eps->V,&V));
    143:   PetscCall(MatConvert(Q,MATDENSE,MAT_REUSE_MATRIX,&V));
    144:   PetscCall(BVRestoreMat(eps->V,&V));
    145:   PetscCall(MatDestroy(&Q));

    147:   eps->nconv  = eps->ncv;
    148:   eps->its    = 1;
    149:   eps->reason = EPS_CONVERGED_TOL;
    150:   PetscFunctionReturn(PETSC_SUCCESS);
    151: }

    153: PetscErrorCode EPSDestroy_ScaLAPACK(EPS eps)
    154: {
    155:   PetscFunctionBegin;
    156:   PetscCall(PetscFree(eps->data));
    157:   PetscFunctionReturn(PETSC_SUCCESS);
    158: }

    160: PetscErrorCode EPSReset_ScaLAPACK(EPS eps)
    161: {
    162:   EPS_ScaLAPACK  *ctx = (EPS_ScaLAPACK*)eps->data;

    164:   PetscFunctionBegin;
    165:   PetscCall(MatDestroy(&ctx->As));
    166:   PetscCall(MatDestroy(&ctx->Bs));
    167:   PetscFunctionReturn(PETSC_SUCCESS);
    168: }

    170: SLEPC_EXTERN PetscErrorCode EPSCreate_ScaLAPACK(EPS eps)
    171: {
    172:   EPS_ScaLAPACK  *ctx;

    174:   PetscFunctionBegin;
    175:   PetscCall(PetscNew(&ctx));
    176:   eps->data = (void*)ctx;

    178:   eps->categ = EPS_CATEGORY_OTHER;

    180:   eps->ops->solve          = EPSSolve_ScaLAPACK;
    181:   eps->ops->setup          = EPSSetUp_ScaLAPACK;
    182:   eps->ops->setupsort      = EPSSetUpSort_Basic;
    183:   eps->ops->destroy        = EPSDestroy_ScaLAPACK;
    184:   eps->ops->reset          = EPSReset_ScaLAPACK;
    185:   eps->ops->backtransform  = EPSBackTransform_Default;
    186:   eps->ops->setdefaultst   = EPSSetDefaultST_NoFactor;
    187:   PetscFunctionReturn(PETSC_SUCCESS);
    188: }