Date: 2020-01-13T12:00:33+00:00

Actual source code: primme.c
slepc-3.12.2 2020-01-13
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2019, 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 the PRIMME package
     12: */

     14: #include <slepc/private/epsimpl.h>    /*I "slepceps.h" I*/

     16: #include <primme.h>

     18: #if defined(PETSC_USE_COMPLEX)
     19: #if defined(PETSC_USE_REAL_SINGLE)
     20: #define PRIMME_DRIVER cprimme
     21: #else
     22: #define PRIMME_DRIVER zprimme
     23: #endif
     24: #else
     25: #if defined(PETSC_USE_REAL_SINGLE)
     26: #define PRIMME_DRIVER sprimme
     27: #else
     28: #define PRIMME_DRIVER dprimme
     29: #endif
     30: #endif

     32: typedef struct {
     33:   primme_params primme;           /* param struc */
     34:   primme_preset_method method;    /* primme method */
     35:   Mat       A;                    /* problem matrix */
     36:   KSP       ksp;                  /* linear solver and preconditioner */
     37:   Vec       x,y;                  /* auxiliary vectors */
     38:   double    target;               /* a copy of eps's target */
     39: } EPS_PRIMME;

     41: static void multMatvec_PRIMME(void*,PRIMME_INT*,void*,PRIMME_INT*,int*,struct primme_params*,int*);
     42: static void applyPreconditioner_PRIMME(void*,PRIMME_INT*,void*,PRIMME_INT*,int*,struct primme_params*,int*);

     44: static void par_GlobalSumReal(void *sendBuf,void *recvBuf,int *count,primme_params *primme,int *ierr)
     45: {
     46:   *MPI_Allreduce(sendBuf,recvBuf,*count,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)primme->commInfo));CHKERRABORT(PetscObjectComm((PetscObject)primme->commInfo),*ierr);
     47: }

     49: PetscErrorCode EPSSetUp_PRIMME(EPS eps)
     50: {
     52:   PetscMPIInt    numProcs,procID;
     53:   EPS_PRIMME     *ops = (EPS_PRIMME*)eps->data;
     54:   primme_params  *primme = &ops->primme;
     55:   PetscBool      istrivial,flg;

     58:   MPI_Comm_size(PetscObjectComm((PetscObject)eps),&numProcs);
     59:   MPI_Comm_rank(PetscObjectComm((PetscObject)eps),&procID);

     61:   /* Check some constraints and set some default values */
     62:   if (!eps->max_it) eps->max_it = PetscMax(1000,eps->n);
     63:   STGetMatrix(eps->st,0,&ops->A);
     64:   if (!eps->ishermitian) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"PRIMME is only available for Hermitian problems");
     65:   if (eps->isgeneralized) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"PRIMME is not available for generalized problems");
     66:   if (eps->arbitrary) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Arbitrary selection of eigenpairs not supported in this solver");
     67:   if (eps->stopping!=EPSStoppingBasic) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"External packages do not support user-defined stopping test");
     68:   if (!eps->which) eps->which = EPS_LARGEST_REAL;
     69:   if (eps->converged != EPSConvergedAbsolute) { PetscInfo(eps,"Warning: using absolute convergence test\n"); }
     70:   RGIsTrivial(eps->rg,&istrivial);
     71:   if (!istrivial) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver does not support region filtering");

     73:   /* Transfer SLEPc options to PRIMME options */
     74:   primme->n          = eps->n;
     75:   primme->nLocal     = eps->nloc;
     76:   primme->numEvals   = eps->nev;
     77:   primme->matrix     = ops;
     78:   primme->commInfo   = eps;
     79:   primme->maxMatvecs = eps->max_it;
     80:   primme->eps        = eps->tol==PETSC_DEFAULT?SLEPC_DEFAULT_TOL:eps->tol;
     81:   primme->numProcs   = numProcs;
     82:   primme->procID     = procID;
     83:   primme->printLevel = 0;
     84:   primme->correctionParams.precondition = 1;

     86:   switch (eps->which) {
     87:     case EPS_LARGEST_REAL:
     88:       primme->target = primme_largest;
     89:       break;
     90:     case EPS_SMALLEST_REAL:
     91:       primme->target = primme_smallest;
     92:       break;
     93:     case EPS_TARGET_MAGNITUDE:
     94:     case EPS_TARGET_REAL:
     95:       primme->target = primme_closest_abs;
     96:       primme->numTargetShifts = 1;
     97:       ops->target = PetscRealPart(eps->target);
     98:       primme->targetShifts = &ops->target;
     99:       break;
    100:     default:
    101:       SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"'which' value not supported by PRIMME");
    102:       break;
    103:   }

    105:   if (primme_set_method(ops->method,primme) < 0) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"PRIMME method not valid");

    107:   /* If user sets ncv, maxBasisSize is modified. If not, ncv is set as maxBasisSize */
    108:   if (eps->ncv) primme->maxBasisSize = eps->ncv;
    109:   else eps->ncv = primme->maxBasisSize;
    110:   if (eps->ncv < eps->nev+primme->maxBlockSize) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"PRIMME needs ncv >= nev+maxBlockSize");
    111:   if (eps->mpd) { PetscInfo(eps,"Warning: parameter mpd ignored\n"); }

    113:   if (eps->extraction) { PetscInfo(eps,"Warning: extraction type ignored\n"); }

    115:   /* Set workspace */
    116:   EPSAllocateSolution(eps,0);
    117:   PetscObjectTypeCompare((PetscObject)eps->V,BVVECS,&flg);
    118:   if (flg) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver requires a BV with contiguous storage");

    120:   /* Setup the preconditioner */
    121:   if (primme->correctionParams.precondition) {
    122:     STGetKSP(eps->st,&ops->ksp);
    123:     PetscObjectTypeCompare((PetscObject)ops->ksp,KSPPREONLY,&flg);
    124:     if (!flg) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"PRIMME only works with KSPPREONLY");
    125:     primme->preconditioner = NULL;
    126:     primme->applyPreconditioner = applyPreconditioner_PRIMME;
    127:   }

    129:   /* Prepare auxiliary vectors */
    130:   if (!ops->x) {
    131:     MatCreateVecsEmpty(ops->A,&ops->x,&ops->y);
    132:     PetscLogObjectParent((PetscObject)eps,(PetscObject)ops->x);
    133:     PetscLogObjectParent((PetscObject)eps,(PetscObject)ops->y);
    134:   }
    135:   return(0);
    136: }

    138: PetscErrorCode EPSSolve_PRIMME(EPS eps)
    139: {
    141:   EPS_PRIMME     *ops = (EPS_PRIMME*)eps->data;
    142:   PetscScalar    *a;
    143:   Vec            v0;
    144: #if defined(PETSC_USE_COMPLEX)
    145:   PetscInt       i;
    146:   PetscReal      *evals;
    147: #endif

    150:   /* Reset some parameters left from previous runs */
    151:   ops->primme.aNorm    = 1.0;
    152:   ops->primme.initSize = eps->nini;
    153:   ops->primme.iseed[0] = -1;

    155:   /* Call PRIMME solver */
    156:   BVGetColumn(eps->V,0,&v0);
    157:   VecGetArray(v0,&a);
    158: #if !defined(PETSC_USE_COMPLEX)
    159:   PRIMME_DRIVER(eps->eigr,a,eps->errest,&ops->primme);
    160:   if (ierr) SETERRQ1(PetscObjectComm((PetscObject)eps),PETSC_ERR_LIB,"PRIMME library failed with error code=%d",ierr);
    161: #else
    162:   /* PRIMME returns real eigenvalues, but SLEPc works with complex ones */
    163:   PetscMalloc1(eps->ncv,&evals);
    164:   PRIMME_DRIVER(evals,a,eps->errest,&ops->primme);
    165:   if (ierr) SETERRQ1(PetscObjectComm((PetscObject)eps),PETSC_ERR_LIB,"PRIMME library failed with error code=%d",ierr);
    166:   for (i=0;i<eps->ncv;i++) eps->eigr[i] = evals[i];
    167:   PetscFree(evals);
    168: #endif
    169:   VecRestoreArray(v0,&a);
    170:   BVRestoreColumn(eps->V,0,&v0);

    172:   eps->nconv  = ops->primme.initSize >= 0 ? ops->primme.initSize : 0;
    173:   eps->reason = eps->ncv >= eps->nev ? EPS_CONVERGED_TOL: EPS_DIVERGED_ITS;
    174:   eps->its    = ops->primme.stats.numOuterIterations;
    175:   return(0);
    176: }

    178: static void multMatvec_PRIMME(void *xa,PRIMME_INT *ldx,void *ya,PRIMME_INT *ldy,int *blockSize,struct primme_params *primme,int *ierr)
    179: {
    180:   PetscInt   i;
    181:   EPS_PRIMME *ops = (EPS_PRIMME*)primme->matrix;
    182:   Vec        x = ops->x,y = ops->y;
    183:   Mat        A = ops->A;

    186:   for (i=0;i<*blockSize;i++) {
    187:     *VecPlaceArray(x,(PetscScalar*)xa+(*ldx)*i);CHKERRABORT(PetscObjectComm((PetscObject)A),*ierr);
    188:     *VecPlaceArray(y,(PetscScalar*)ya+(*ldy)*i);CHKERRABORT(PetscObjectComm((PetscObject)A),*ierr);
    189:     *MatMult(A,x,y);CHKERRABORT(PetscObjectComm((PetscObject)A),*ierr);
    190:     *VecResetArray(x);CHKERRABORT(PetscObjectComm((PetscObject)A),*ierr);
    191:     *VecResetArray(y);CHKERRABORT(PetscObjectComm((PetscObject)A),*ierr);
    192:   }
    193:   PetscFunctionReturnVoid();
    194: }

    196: static void applyPreconditioner_PRIMME(void *xa,PRIMME_INT *ldx,void *ya,PRIMME_INT *ldy,int *blockSize,struct primme_params *primme,int *ierr)
    197: {
    198:   PetscInt   i;
    199:   EPS_PRIMME *ops = (EPS_PRIMME*)primme->matrix;
    200:   Vec        x = ops->x,y = ops->y;

    203:   for (i=0;i<*blockSize;i++) {
    204:     *VecPlaceArray(x,(PetscScalar*)xa+(*ldx)*i);CHKERRABORT(PetscObjectComm((PetscObject)ops->ksp),*ierr);
    205:     *VecPlaceArray(y,(PetscScalar*)ya+(*ldy)*i);CHKERRABORT(PetscObjectComm((PetscObject)ops->ksp),*ierr);
    206:     *KSPSolve(ops->ksp,x,y);CHKERRABORT(PetscObjectComm((PetscObject)ops->ksp),*ierr);
    207:     *VecResetArray(x);CHKERRABORT(PetscObjectComm((PetscObject)ops->ksp),*ierr);
    208:     *VecResetArray(y);CHKERRABORT(PetscObjectComm((PetscObject)ops->ksp),*ierr);
    209:   }
    210:   PetscFunctionReturnVoid();
    211: }

    213: PetscErrorCode EPSReset_PRIMME(EPS eps)
    214: {
    216:   EPS_PRIMME     *ops = (EPS_PRIMME*)eps->data;

    219:   primme_free(&ops->primme);
    220:   VecDestroy(&ops->x);
    221:   VecDestroy(&ops->y);
    222:   return(0);
    223: }

    225: PetscErrorCode EPSDestroy_PRIMME(EPS eps)
    226: {

    230:   PetscFree(eps->data);
    231:   PetscObjectComposeFunction((PetscObject)eps,"EPSPRIMMESetBlockSize_C",NULL);
    232:   PetscObjectComposeFunction((PetscObject)eps,"EPSPRIMMESetMethod_C",NULL);
    233:   PetscObjectComposeFunction((PetscObject)eps,"EPSPRIMMEGetBlockSize_C",NULL);
    234:   PetscObjectComposeFunction((PetscObject)eps,"EPSPRIMMEGetMethod_C",NULL);
    235:   return(0);
    236: }

    238: PetscErrorCode EPSView_PRIMME(EPS eps,PetscViewer viewer)
    239: {
    240:   PetscErrorCode  ierr;
    241:   PetscBool       isascii;
    242:   primme_params   *primme = &((EPS_PRIMME*)eps->data)->primme;
    243:   EPSPRIMMEMethod methodn;
    244:   PetscMPIInt     rank;

    247:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii);
    248:   if (isascii) {
    249:     PetscViewerASCIIPrintf(viewer,"  block size=%D\n",primme->maxBlockSize);
    250:     EPSPRIMMEGetMethod(eps,&methodn);
    251:     PetscViewerASCIIPrintf(viewer,"  solver method: %s\n",EPSPRIMMEMethods[methodn]);

    253:     /* Display PRIMME params */
    254:     MPI_Comm_rank(PetscObjectComm((PetscObject)eps),&rank);
    255:     if (!rank) primme_display_params(*primme);
    256:   }
    257:   return(0);
    258: }

    260: PetscErrorCode EPSSetFromOptions_PRIMME(PetscOptionItems *PetscOptionsObject,EPS eps)
    261: {
    262:   PetscErrorCode  ierr;
    263:   EPS_PRIMME      *ctx = (EPS_PRIMME*)eps->data;
    264:   PetscInt        bs;
    265:   EPSPRIMMEMethod meth;
    266:   PetscBool       flg;

    269:   PetscOptionsHead(PetscOptionsObject,"EPS PRIMME Options");

    271:     PetscOptionsInt("-eps_primme_blocksize","Maximum block size","EPSPRIMMESetBlockSize",ctx->primme.maxBlockSize,&bs,&flg);
    272:     if (flg) { EPSPRIMMESetBlockSize(eps,bs); }

    274:     PetscOptionsEnum("-eps_primme_method","Method for solving the eigenproblem","EPSPRIMMESetMethod",EPSPRIMMEMethods,(PetscEnum)ctx->method,(PetscEnum*)&meth,&flg);
    275:     if (flg) { EPSPRIMMESetMethod(eps,meth); }

    277:   PetscOptionsTail();
    278:   return(0);
    279: }

    281: static PetscErrorCode EPSPRIMMESetBlockSize_PRIMME(EPS eps,PetscInt bs)
    282: {
    283:   EPS_PRIMME *ops = (EPS_PRIMME*)eps->data;

    286:   if (bs == PETSC_DEFAULT) ops->primme.maxBlockSize = 1;
    287:   else if (bs <= 0) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"PRIMME: block size must be positive");
    288:   else ops->primme.maxBlockSize = bs;
    289:   return(0);
    290: }

    292: /*@
    293:    EPSPRIMMESetBlockSize - The maximum block size that PRIMME will try to use.

    295:    Logically Collective on eps

    297:    Input Parameters:
    298: +  eps - the eigenproblem solver context
    299: -  bs - block size

    301:    Options Database Key:
    302: .  -eps_primme_blocksize - Sets the max allowed block size value

    304:    Notes:
    305:    If the block size is not set, the value established by primme_initialize
    306:    is used.

    308:    The user should set the block size based on the architecture specifics
    309:    of the target computer, as well as any a priori knowledge of multiplicities.
    310:    The code does NOT require bs > 1 to find multiple eigenvalues. For some
    311:    methods, keeping bs = 1 yields the best overall performance.

    313:    Level: advanced

    315: .seealso: EPSPRIMMEGetBlockSize()
    316: @*/
    317: PetscErrorCode EPSPRIMMESetBlockSize(EPS eps,PetscInt bs)
    318: {

    324:   PetscTryMethod(eps,"EPSPRIMMESetBlockSize_C",(EPS,PetscInt),(eps,bs));
    325:   return(0);
    326: }

    328: static PetscErrorCode EPSPRIMMEGetBlockSize_PRIMME(EPS eps,PetscInt *bs)
    329: {
    330:   EPS_PRIMME *ops = (EPS_PRIMME*)eps->data;

    333:   *bs = ops->primme.maxBlockSize;
    334:   return(0);
    335: }

    337: /*@
    338:    EPSPRIMMEGetBlockSize - Get the maximum block size the code will try to use.

    340:    Not Collective

    342:    Input Parameter:
    343: .  eps - the eigenproblem solver context

    345:    Output Parameter:
    346: .  bs - returned block size

    348:    Level: advanced

    350: .seealso: EPSPRIMMESetBlockSize()
    351: @*/
    352: PetscErrorCode EPSPRIMMEGetBlockSize(EPS eps,PetscInt *bs)
    353: {

    359:   PetscUseMethod(eps,"EPSPRIMMEGetBlockSize_C",(EPS,PetscInt*),(eps,bs));
    360:   return(0);
    361: }

    363: static PetscErrorCode EPSPRIMMESetMethod_PRIMME(EPS eps,EPSPRIMMEMethod method)
    364: {
    365:   EPS_PRIMME *ops = (EPS_PRIMME*)eps->data;

    368:   ops->method = (primme_preset_method)method;
    369:   return(0);
    370: }

    372: /*@
    373:    EPSPRIMMESetMethod - Sets the method for the PRIMME library.

    375:    Logically Collective on eps

    377:    Input Parameters:
    378: +  eps - the eigenproblem solver context
    379: -  method - method that will be used by PRIMME

    381:    Options Database Key:
    382: .  -eps_primme_method - Sets the method for the PRIMME library

    384:    Note:
    385:    If not set, the method defaults to EPS_PRIMME_DEFAULT_MIN_TIME.

    387:    Level: advanced

    389: .seealso: EPSPRIMMEGetMethod(), EPSPRIMMEMethod
    390: @*/
    391: PetscErrorCode EPSPRIMMESetMethod(EPS eps,EPSPRIMMEMethod method)
    392: {

    398:   PetscTryMethod(eps,"EPSPRIMMESetMethod_C",(EPS,EPSPRIMMEMethod),(eps,method));
    399:   return(0);
    400: }

    402: static PetscErrorCode EPSPRIMMEGetMethod_PRIMME(EPS eps,EPSPRIMMEMethod *method)
    403: {
    404:   EPS_PRIMME *ops = (EPS_PRIMME*)eps->data;

    407:   *method = (EPSPRIMMEMethod)ops->method;
    408:   return(0);
    409: }

    411: /*@
    412:    EPSPRIMMEGetMethod - Gets the method for the PRIMME library.

    414:    Not Collective

    416:    Input Parameter:
    417: .  eps - the eigenproblem solver context

    419:    Output Parameter:
    420: .  method - method that will be used by PRIMME

    422:    Level: advanced

    424: .seealso: EPSPRIMMESetMethod(), EPSPRIMMEMethod
    425: @*/
    426: PetscErrorCode EPSPRIMMEGetMethod(EPS eps,EPSPRIMMEMethod *method)
    427: {

    433:   PetscUseMethod(eps,"EPSPRIMMEGetMethod_C",(EPS,EPSPRIMMEMethod*),(eps,method));
    434:   return(0);
    435: }

    437: SLEPC_EXTERN PetscErrorCode EPSCreate_PRIMME(EPS eps)
    438: {
    440:   EPS_PRIMME     *primme;

    443:   PetscNewLog(eps,&primme);
    444:   eps->data = (void*)primme;

    446:   primme_initialize(&primme->primme);
    447:   primme->primme.matrixMatvec = multMatvec_PRIMME;
    448:   primme->primme.globalSumReal = par_GlobalSumReal;
    449:   primme->method = (primme_preset_method)EPS_PRIMME_DEFAULT_MIN_TIME;

    451:   eps->categ = EPS_CATEGORY_PRECOND;

    453:   eps->ops->solve          = EPSSolve_PRIMME;
    454:   eps->ops->setup          = EPSSetUp_PRIMME;
    455:   eps->ops->setfromoptions = EPSSetFromOptions_PRIMME;
    456:   eps->ops->destroy        = EPSDestroy_PRIMME;
    457:   eps->ops->reset          = EPSReset_PRIMME;
    458:   eps->ops->view           = EPSView_PRIMME;
    459:   eps->ops->backtransform  = EPSBackTransform_Default;
    460:   eps->ops->setdefaultst   = EPSSetDefaultST_Precond;

    462:   PetscObjectComposeFunction((PetscObject)eps,"EPSPRIMMESetBlockSize_C",EPSPRIMMESetBlockSize_PRIMME);
    463:   PetscObjectComposeFunction((PetscObject)eps,"EPSPRIMMESetMethod_C",EPSPRIMMESetMethod_PRIMME);
    464:   PetscObjectComposeFunction((PetscObject)eps,"EPSPRIMMEGetBlockSize_C",EPSPRIMMEGetBlockSize_PRIMME);
    465:   PetscObjectComposeFunction((PetscObject)eps,"EPSPRIMMEGetMethod_C",EPSPRIMMEGetMethod_PRIMME);
    466:   return(0);
    467: }