Date: 2015-09-03T15:04:58+00:00

Actual source code: arpack.c
slepc-3.6.1 2015-09-03
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      1: /*
      2:    This file implements a wrapper to the ARPACK package

      4:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      5:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      6:    Copyright (c) 2002-2015, Universitat Politecnica de Valencia, Spain

      8:    This file is part of SLEPc.

     10:    SLEPc is free software: you can redistribute it and/or modify it under  the
     11:    terms of version 3 of the GNU Lesser General Public License as published by
     12:    the Free Software Foundation.

     14:    SLEPc  is  distributed in the hope that it will be useful, but WITHOUT  ANY
     15:    WARRANTY;  without even the implied warranty of MERCHANTABILITY or  FITNESS
     16:    FOR  A  PARTICULAR PURPOSE. See the GNU Lesser General Public  License  for
     17:    more details.

     19:    You  should have received a copy of the GNU Lesser General  Public  License
     20:    along with SLEPc. If not, see <http://www.gnu.org/licenses/>.
     21:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     22: */

     24: #include <slepc/private/epsimpl.h>
     25: #include <../src/eps/impls/external/arpack/arpackp.h>

     27: PetscErrorCode EPSSolve_ARPACK(EPS);

     31: PetscErrorCode EPSSetUp_ARPACK(EPS eps)
     32: {
     34:   PetscInt       ncv;
     35:   PetscBool      flg,istrivial;
     36:   EPS_ARPACK     *ar = (EPS_ARPACK*)eps->data;

     39:   if (eps->ncv) {
     40:     if (eps->ncv<eps->nev+2) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"The value of ncv must be at least nev+2");
     41:   } else eps->ncv = PetscMin(PetscMax(20,2*eps->nev+1),eps->n); /* set default value of ncv */
     42:   if (eps->mpd) { PetscInfo(eps,"Warning: parameter mpd ignored\n"); }
     43:   if (!eps->max_it) eps->max_it = PetscMax(300,(PetscInt)(2*eps->n/eps->ncv));
     44:   if (!eps->which) eps->which = EPS_LARGEST_MAGNITUDE;

     46:   ncv = eps->ncv;
     47: #if defined(PETSC_USE_COMPLEX)
     48:   PetscFree(ar->rwork);
     49:   PetscMalloc1(ncv,&ar->rwork);
     50:   PetscLogObjectMemory((PetscObject)eps,ncv*sizeof(PetscReal));
     51:   PetscBLASIntCast(3*ncv*ncv+5*ncv,&ar->lworkl);
     52:   PetscFree(ar->workev);
     53:   PetscMalloc1(3*ncv,&ar->workev);
     54:   PetscLogObjectMemory((PetscObject)eps,3*ncv*sizeof(PetscScalar));
     55: #else
     56:   if (eps->ishermitian) {
     57:     PetscBLASIntCast(ncv*(ncv+8),&ar->lworkl);
     58:   } else {
     59:     PetscBLASIntCast(3*ncv*ncv+6*ncv,&ar->lworkl);
     60:     PetscFree(ar->workev);
     61:     PetscMalloc1(3*ncv,&ar->workev);
     62:     PetscLogObjectMemory((PetscObject)eps,3*ncv*sizeof(PetscScalar));
     63:   }
     64: #endif
     65:   PetscFree(ar->workl);
     66:   PetscMalloc1(ar->lworkl,&ar->workl);
     67:   PetscLogObjectMemory((PetscObject)eps,ar->lworkl*sizeof(PetscScalar));
     68:   PetscFree(ar->select);
     69:   PetscMalloc1(ncv,&ar->select);
     70:   PetscLogObjectMemory((PetscObject)eps,ncv*sizeof(PetscBool));
     71:   PetscFree(ar->workd);
     72:   PetscMalloc1(3*eps->nloc,&ar->workd);
     73:   PetscLogObjectMemory((PetscObject)eps,3*eps->nloc*sizeof(PetscScalar));

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

     77:   if (eps->balance!=EPS_BALANCE_NONE) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Balancing not supported in the Arpack interface");
     78:   if (eps->arbitrary) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Arbitrary selection of eigenpairs not supported in this solver");

     80:   EPSAllocateSolution(eps,0);
     81:   EPSSetWorkVecs(eps,2);

     83:   PetscObjectTypeCompare((PetscObject)eps->V,BVVECS,&flg);
     84:   if (flg) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver requires a BV with contiguous storage");
     85:   RGIsTrivial(eps->rg,&istrivial);
     86:   if (!istrivial) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver does not support region filtering");

     88:   /* dispatch solve method */
     89:   eps->ops->solve = EPSSolve_ARPACK;
     90:   return(0);
     91: }

     95: PetscErrorCode EPSSolve_ARPACK(EPS eps)
     96: {
     98:   EPS_ARPACK     *ar = (EPS_ARPACK*)eps->data;
     99:   char           bmat[1],howmny[] = "A";
    100:   const char     *which;
    101:   PetscBLASInt   n,iparam[11],ipntr[14],ido,info,nev,ncv;
    102: #if !defined(PETSC_HAVE_MPIUNI)
    103:   PetscBLASInt   fcomm;
    104: #endif
    105:   PetscScalar    sigmar,*pV,*resid;
    106:   Vec            v0,x,y,w = eps->work[0];
    107:   Mat            A;
    108:   PetscBool      isSinv,isShift,rvec;
    109: #if !defined(PETSC_USE_COMPLEX)
    110:   PetscScalar    sigmai = 0.0;
    111: #endif

    114:   PetscBLASIntCast(eps->nev,&nev);
    115:   PetscBLASIntCast(eps->ncv,&ncv);
    116: #if !defined(PETSC_HAVE_MPIUNI)
    117:   PetscBLASIntCast(MPI_Comm_c2f(PetscObjectComm((PetscObject)eps)),&fcomm);
    118: #endif
    119:   PetscBLASIntCast(eps->nloc,&n);
    120:   VecCreateMPIWithArray(PetscObjectComm((PetscObject)eps),1,eps->nloc,PETSC_DECIDE,NULL,&x);
    121:   VecCreateMPIWithArray(PetscObjectComm((PetscObject)eps),1,eps->nloc,PETSC_DECIDE,NULL,&y);
    122:   EPSGetStartVector(eps,0,NULL);
    123:   BVSetActiveColumns(eps->V,0,0);  /* just for deflation space */
    124:   BVGetColumn(eps->V,0,&v0);
    125:   VecCopy(v0,eps->work[1]);
    126:   VecGetArray(v0,&pV);
    127:   VecGetArray(eps->work[1],&resid);

    129:   ido  = 0;            /* first call to reverse communication interface */
    130:   info = 1;            /* indicates a initial vector is provided */
    131:   iparam[0] = 1;       /* use exact shifts */
    132:   PetscBLASIntCast(eps->max_it,&iparam[2]);  /* max Arnoldi iterations */
    133:   iparam[3] = 1;       /* blocksize */
    134:   iparam[4] = 0;       /* number of converged Ritz values */

    136:   /*
    137:      Computational modes ([]=not supported):
    138:             symmetric    non-symmetric    complex
    139:         1     1  'I'        1  'I'         1  'I'
    140:         2     3  'I'        3  'I'         3  'I'
    141:         3     2  'G'        2  'G'         2  'G'
    142:         4     3  'G'        3  'G'         3  'G'
    143:         5   [ 4  'G' ]    [ 3  'G' ]
    144:         6   [ 5  'G' ]    [ 4  'G' ]
    145:    */
    146:   PetscObjectTypeCompare((PetscObject)eps->st,STSINVERT,&isSinv);
    147:   PetscObjectTypeCompare((PetscObject)eps->st,STSHIFT,&isShift);
    148:   STGetShift(eps->st,&sigmar);
    149:   STGetOperators(eps->st,0,&A);

    151:   if (isSinv) {
    152:     /* shift-and-invert mode */
    153:     iparam[6] = 3;
    154:     if (eps->ispositive) bmat[0] = 'G';
    155:     else bmat[0] = 'I';
    156:   } else if (isShift && eps->ispositive) {
    157:     /* generalized shift mode with B positive definite */
    158:     iparam[6] = 2;
    159:     bmat[0] = 'G';
    160:   } else {
    161:     /* regular mode */
    162:     if (eps->ishermitian && eps->isgeneralized)
    163:       SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Spectral transformation not supported by ARPACK hermitian solver");
    164:     iparam[6] = 1;
    165:     bmat[0] = 'I';
    166:   }

    168: #if !defined(PETSC_USE_COMPLEX)
    169:     if (eps->ishermitian) {
    170:       switch (eps->which) {
    171:         case EPS_TARGET_MAGNITUDE:
    172:         case EPS_LARGEST_MAGNITUDE:  which = "LM"; break;
    173:         case EPS_SMALLEST_MAGNITUDE: which = "SM"; break;
    174:         case EPS_TARGET_REAL:
    175:         case EPS_LARGEST_REAL:       which = "LA"; break;
    176:         case EPS_SMALLEST_REAL:      which = "SA"; break;
    177:         default: SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_WRONG,"Wrong value of eps->which");
    178:       }
    179:     } else {
    180: #endif
    181:       switch (eps->which) {
    182:         case EPS_TARGET_MAGNITUDE:
    183:         case EPS_LARGEST_MAGNITUDE:  which = "LM"; break;
    184:         case EPS_SMALLEST_MAGNITUDE: which = "SM"; break;
    185:         case EPS_TARGET_REAL:
    186:         case EPS_LARGEST_REAL:       which = "LR"; break;
    187:         case EPS_SMALLEST_REAL:      which = "SR"; break;
    188:         case EPS_TARGET_IMAGINARY:
    189:         case EPS_LARGEST_IMAGINARY:  which = "LI"; break;
    190:         case EPS_SMALLEST_IMAGINARY: which = "SI"; break;
    191:         default: SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_WRONG,"Wrong value of eps->which");
    192:       }
    193: #if !defined(PETSC_USE_COMPLEX)
    194:     }
    195: #endif

    197:   do {

    199: #if !defined(PETSC_USE_COMPLEX)
    200:     if (eps->ishermitian) {
    201:       PetscStackCall("ARPACKsaupd",ARPACKsaupd_(&fcomm,&ido,bmat,&n,which,&nev,&eps->tol,resid,&ncv,pV,&n,iparam,ipntr,ar->workd,ar->workl,&ar->lworkl,&info));
    202:     } else {
    203:       PetscStackCall("ARPACKnaupd",ARPACKnaupd_(&fcomm,&ido,bmat,&n,which,&nev,&eps->tol,resid,&ncv,pV,&n,iparam,ipntr,ar->workd,ar->workl,&ar->lworkl,&info));
    204:     }
    205: #else
    206:     PetscStackCall("ARPACKnaupd",ARPACKnaupd_(&fcomm,&ido,bmat,&n,which,&nev,&eps->tol,resid,&ncv,pV,&n,iparam,ipntr,ar->workd,ar->workl,&ar->lworkl,ar->rwork,&info));
    207: #endif

    209:     if (ido == -1 || ido == 1 || ido == 2) {
    210:       if (ido == 1 && iparam[6] == 3 && bmat[0] == 'G') {
    211:         /* special case for shift-and-invert with B semi-positive definite*/
    212:         VecPlaceArray(x,&ar->workd[ipntr[2]-1]);
    213:       } else {
    214:         VecPlaceArray(x,&ar->workd[ipntr[0]-1]);
    215:       }
    216:       VecPlaceArray(y,&ar->workd[ipntr[1]-1]);

    218:       if (ido == -1) {
    219:         /* Y = OP * X for for the initialization phase to
    220:            force the starting vector into the range of OP */
    221:         STApply(eps->st,x,y);
    222:       } else if (ido == 2) {
    223:         /* Y = B * X */
    224:         BVApplyMatrix(eps->V,x,y);
    225:       } else { /* ido == 1 */
    226:         if (iparam[6] == 3 && bmat[0] == 'G') {
    227:           /* Y = OP * X for shift-and-invert with B semi-positive definite */
    228:           STMatSolve(eps->st,x,y);
    229:         } else if (iparam[6] == 2) {
    230:           /* X=A*X Y=B^-1*X for shift with B positive definite */
    231:           MatMult(A,x,y);
    232:           if (sigmar != 0.0) {
    233:             BVApplyMatrix(eps->V,x,w);
    234:             VecAXPY(y,sigmar,w);
    235:           }
    236:           VecCopy(y,x);
    237:           STMatSolve(eps->st,x,y);
    238:         } else {
    239:           /* Y = OP * X */
    240:           STApply(eps->st,x,y);
    241:         }
    242:         BVOrthogonalizeVec(eps->V,y,NULL,NULL,NULL);
    243:       }

    245:       VecResetArray(x);
    246:       VecResetArray(y);
    247:     } else if (ido != 99) SETERRQ1(PetscObjectComm((PetscObject)eps),PETSC_ERR_LIB,"Internal error in ARPACK reverse comunication interface (ido=%d)",ido);

    249:   } while (ido != 99);

    251:   eps->nconv = iparam[4];
    252:   eps->its = iparam[2];

    254:   if (info==3) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_LIB,"No shift could be applied in xxAUPD.\nTry increasing the size of NCV relative to NEV");
    255:   else if (info!=0 && info!=1) SETERRQ1(PetscObjectComm((PetscObject)eps),PETSC_ERR_LIB,"Error reported by ARPACK subroutine xxAUPD (%d)",info);

    257:   rvec = PETSC_TRUE;

    259:   if (eps->nconv > 0) {
    260: #if !defined(PETSC_USE_COMPLEX)
    261:     if (eps->ishermitian) {
    262:       EPSMonitor(eps,iparam[2],iparam[4],&ar->workl[ipntr[5]-1],eps->eigi,&ar->workl[ipntr[6]-1],eps->ncv);
    263:       PetscStackCall("ARPACKseupd",ARPACKseupd_(&fcomm,&rvec,howmny,ar->select,eps->eigr,pV,&n,&sigmar,bmat,&n,which,&nev,&eps->tol,resid,&ncv,pV,&n,iparam,ipntr,ar->workd,ar->workl,&ar->lworkl,&info));
    264:     } else {
    265:       EPSMonitor(eps,iparam[2],iparam[4],&ar->workl[ipntr[5]-1],&ar->workl[ipntr[6]-1],&ar->workl[ipntr[7]-1],eps->ncv);
    266:       PetscStackCall("ARPACKneupd",ARPACKneupd_(&fcomm,&rvec,howmny,ar->select,eps->eigr,eps->eigi,pV,&n,&sigmar,&sigmai,ar->workev,bmat,&n,which,&nev,&eps->tol,resid,&ncv,pV,&n,iparam,ipntr,ar->workd,ar->workl,&ar->lworkl,&info));
    267:     }
    268: #else
    269:     EPSMonitor(eps,eps->its,iparam[4],&ar->workl[ipntr[5]-1],eps->eigi,(PetscReal*)&ar->workl[ipntr[7]-1],eps->ncv);
    270:     PetscStackCall("ARPACKneupd",ARPACKneupd_(&fcomm,&rvec,howmny,ar->select,eps->eigr,pV,&n,&sigmar,ar->workev,bmat,&n,which,&nev,&eps->tol,resid,&ncv,pV,&n,iparam,ipntr,ar->workd,ar->workl,&ar->lworkl,ar->rwork,&info));
    271: #endif
    272:     if (info!=0) SETERRQ1(PetscObjectComm((PetscObject)eps),PETSC_ERR_LIB,"Error reported by ARPACK subroutine xxEUPD (%d)",info);
    273:   }

    275:   VecRestoreArray(v0,&pV);
    276:   BVRestoreColumn(eps->V,0,&v0);
    277:   VecRestoreArray(eps->work[1],&resid);
    278:   if (eps->nconv >= eps->nev) eps->reason = EPS_CONVERGED_TOL;
    279:   else eps->reason = EPS_DIVERGED_ITS;

    281:   if (eps->ishermitian) {
    282:     PetscMemcpy(eps->errest,&ar->workl[ipntr[8]-1],eps->nconv);
    283:   } else {
    284:     PetscMemcpy(eps->errest,&ar->workl[ipntr[10]-1],eps->nconv);
    285:   }

    287:   VecDestroy(&x);
    288:   VecDestroy(&y);
    289:   return(0);
    290: }

    294: PetscErrorCode EPSBackTransform_ARPACK(EPS eps)
    295: {
    297:   PetscBool      isSinv;

    300:   PetscObjectTypeCompare((PetscObject)eps->st,STSINVERT,&isSinv);
    301:   if (!isSinv) {
    302:     EPSBackTransform_Default(eps);
    303:   }
    304:   return(0);
    305: }

    309: PetscErrorCode EPSReset_ARPACK(EPS eps)
    310: {
    312:   EPS_ARPACK     *ar = (EPS_ARPACK*)eps->data;

    315:   PetscFree(ar->workev);
    316:   PetscFree(ar->workl);
    317:   PetscFree(ar->select);
    318:   PetscFree(ar->workd);
    319: #if defined(PETSC_USE_COMPLEX)
    320:   PetscFree(ar->rwork);
    321: #endif
    322:   return(0);
    323: }

    327: PetscErrorCode EPSDestroy_ARPACK(EPS eps)
    328: {

    332:   PetscFree(eps->data);
    333:   return(0);
    334: }

    338: PETSC_EXTERN PetscErrorCode EPSCreate_ARPACK(EPS eps)
    339: {
    340:   EPS_ARPACK     *ctx;

    344:   PetscNewLog(eps,&ctx);
    345:   eps->data = (void*)ctx;

    347:   eps->ops->setup                = EPSSetUp_ARPACK;
    348:   eps->ops->destroy              = EPSDestroy_ARPACK;
    349:   eps->ops->reset                = EPSReset_ARPACK;
    350:   eps->ops->backtransform        = EPSBackTransform_ARPACK;
    351:   return(0);
    352: }