Date: 2021-02-01T14:41:56+00:00

Actual source code: dvdupdatev.c
slepc-3.14.2 2021-02-01
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2020, 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:    SLEPc eigensolver: "davidson"

     13:    Step: test for restarting, updateV, restartV
     14: */

     16: #include "davidson.h"

     18: typedef struct {
     19:   PetscInt          min_size_V;        /* restart with this number of eigenvectors */
     20:   PetscInt          plusk;             /* at restart, save plusk vectors from last iteration */
     21:   PetscInt          mpd;               /* max size of the searching subspace */
     22:   void              *old_updateV_data; /* old updateV data */
     23:   PetscErrorCode    (*old_isRestarting)(dvdDashboard*,PetscBool*);  /* old isRestarting */
     24:   Mat               oldU;              /* previous projected right igenvectors */
     25:   Mat               oldV;              /* previous projected left eigenvectors */
     26:   PetscInt          size_oldU;         /* size of oldU */
     27:   PetscBool         allResiduals;      /* if computing all the residuals */
     28: } dvdManagV_basic;

     30: static PetscErrorCode dvd_updateV_start(dvdDashboard *d)
     31: {
     32:   dvdManagV_basic *data = (dvdManagV_basic*)d->updateV_data;
     33:   PetscInt        i;

     36:   for (i=0;i<d->eps->ncv;i++) d->eigi[i] = 0.0;
     37:   d->nR = d->real_nR;
     38:   for (i=0;i<d->eps->ncv;i++) d->nR[i] = 1.0;
     39:   d->nX = d->real_nX;
     40:   for (i=0;i<d->eps->ncv;i++) d->errest[i] = 1.0;
     41:   data->size_oldU = 0;
     42:   d->nconv = 0;
     43:   d->npreconv = 0;
     44:   d->V_tra_s = d->V_tra_e = d->V_new_s = d->V_new_e = 0;
     45:   d->size_D = 0;
     46:   return(0);
     47: }

     49: static PetscErrorCode dvd_isrestarting_fullV(dvdDashboard *d,PetscBool *r)
     50: {
     51:   PetscErrorCode  ierr;
     52:   PetscInt        l,k;
     53:   PetscBool       restart;
     54:   dvdManagV_basic *data = (dvdManagV_basic*)d->updateV_data;

     57:   BVGetActiveColumns(d->eps->V,&l,&k);
     58:   restart = (k+2 > d->eps->ncv)? PETSC_TRUE: PETSC_FALSE;

     60:   /* Check old isRestarting function */
     61:   if (!restart && data->old_isRestarting) {
     62:     data->old_isRestarting(d,&restart);
     63:   }
     64:   *r = restart;
     65:   return(0);
     66: }

     68: static PetscErrorCode dvd_managementV_basic_d(dvdDashboard *d)
     69: {
     70:   PetscErrorCode  ierr;
     71:   dvdManagV_basic *data = (dvdManagV_basic*)d->updateV_data;

     74:   /* Restore changes in dvdDashboard */
     75:   d->updateV_data = data->old_updateV_data;

     77:   /* Free local data */
     78:   MatDestroy(&data->oldU);
     79:   MatDestroy(&data->oldV);
     80:   PetscFree(d->real_nR);
     81:   PetscFree(d->real_nX);
     82:   PetscFree(data);
     83:   return(0);
     84: }

     86: static PetscErrorCode dvd_updateV_conv_gen(dvdDashboard *d)
     87: {
     88:   dvdManagV_basic *data = (dvdManagV_basic*)d->updateV_data;
     89:   PetscInt        npreconv,cMT,cMTX,lV,kV,nV;
     90:   PetscErrorCode  ierr;
     91:   Mat             Z;
     92:   PetscBool       t;
     93: #if !defined(PETSC_USE_COMPLEX)
     94:   PetscInt        i;
     95: #endif

     98:   npreconv = d->npreconv;
     99:   /* Constrains the converged pairs to nev */
    100: #if !defined(PETSC_USE_COMPLEX)
    101:   /* Tries to maintain together conjugate eigenpairs */
    102:   for (i=0; (i + (d->eigi[i]!=0.0?1:0) < npreconv) && (d->nconv + i < d->nev); i+= (d->eigi[i]!=0.0?2:1));
    103:   npreconv = i;
    104: #else
    105:   npreconv = PetscMax(PetscMin(d->nev-d->nconv,npreconv),0);
    106: #endif
    107:   /* For GHEP without B-ortho, converge all of the requested pairs at once */
    108:   PetscObjectTypeCompare((PetscObject)d->eps->ds,DSGHEP,&t);
    109:   if (t && d->nconv+npreconv<d->nev) npreconv = 0;
    110:   /* Quick exit */
    111:   if (npreconv == 0) return(0);

    113:   BVGetActiveColumns(d->eps->V,&lV,&kV);
    114:   nV  = kV - lV;
    115:   cMT = nV - npreconv;
    116:   /* Harmonics restarts wiht right eigenvectors, and other with the left ones.
    117:      If the problem is standard or hermitian, left and right vectors are the same */
    118:   if (!(d->W||DVD_IS(d->sEP,DVD_EP_STD)||DVD_IS(d->sEP,DVD_EP_HERMITIAN))) {
    119:     /* ps.Q <- [ps.Q(0:npreconv-1) ps.Z(npreconv:size_H-1)] */
    120:     DSGetMat(d->eps->ds,DS_MAT_Z,&Z);
    121:     DSCopyMat(d->eps->ds,DS_MAT_Q,0,npreconv,Z,0,npreconv,nV,cMT,PETSC_FALSE);
    122:     MatDestroy(&Z);
    123:   }
    124:   if (DVD_IS(d->sEP,DVD_EP_INDEFINITE)) {
    125:     DSPseudoOrthogonalize(d->eps->ds,DS_MAT_Q,nV,d->nBds,&cMTX,d->nBds);
    126:   } else {
    127:     DSOrthogonalize(d->eps->ds,DS_MAT_Q,nV,&cMTX);
    128:   }
    129:   cMT = cMTX - npreconv;

    131:   if (d->W) {
    132:     DSOrthogonalize(d->eps->ds,DS_MAT_Z,nV,&cMTX);
    133:     cMT = PetscMin(cMT,cMTX - npreconv);
    134:   }

    136:   /* Lock the converged pairs */
    137:   d->eigr+= npreconv;
    138: #if !defined(PETSC_USE_COMPLEX)
    139:   if (d->eigi) d->eigi+= npreconv;
    140: #endif
    141:   d->nconv+= npreconv;
    142:   d->errest+= npreconv;
    143:   /* Notify the changes in V and update the other subspaces */
    144:   d->V_tra_s = npreconv;          d->V_tra_e = nV;
    145:   d->V_new_s = cMT;               d->V_new_e = d->V_new_s;
    146:   /* Remove oldU */
    147:   data->size_oldU = 0;

    149:   d->npreconv-= npreconv;
    150:   return(0);
    151: }

    153: static PetscErrorCode dvd_updateV_restart_gen(dvdDashboard *d)
    154: {
    155:   dvdManagV_basic *data = (dvdManagV_basic*)d->updateV_data;
    156:   PetscInt        lV,kV,nV,size_plusk,size_X,cMTX,cMTY,max_restart_size;
    157:   Mat             Z;
    158:   PetscErrorCode  ierr;

    161:   /* Select size_X desired pairs from V */
    162:   /* The restarted basis should:
    163:      - have at least one spot to add a new direction;
    164:      - keep converged vectors, npreconv;
    165:      - keep at least 1 oldU direction if possible.
    166:   */
    167:   BVGetActiveColumns(d->eps->V,&lV,&kV);
    168:   nV = kV - lV;
    169:   max_restart_size = PetscMax(0,PetscMin(d->eps->mpd - 1,d->eps->ncv - lV - 2));
    170:   size_X = PetscMin(PetscMin(data->min_size_V+d->npreconv,max_restart_size - (max_restart_size - d->npreconv > 1 && data->plusk > 0 && data->size_oldU > 0 ? 1 : 0)), nV);

    172:   /* Add plusk eigenvectors from the previous iteration */
    173:   size_plusk = PetscMax(0,PetscMin(PetscMin(PetscMin(data->plusk,data->size_oldU),max_restart_size - size_X),nV - size_X));

    175:   d->size_MT = nV;
    176:   /* ps.Q <- orth([pX(0:size_X-1) [oldU(0:size_plusk-1); 0] ]) */
    177:   /* Harmonics restarts wiht right eigenvectors, and other with the left ones.
    178:      If the problem is standard or hermitian, left and right vectors are the same */
    179:   if (!(d->W||DVD_IS(d->sEP,DVD_EP_STD)||DVD_IS(d->sEP,DVD_EP_HERMITIAN))) {
    180:     DSGetMat(d->eps->ds,DS_MAT_Z,&Z);
    181:     DSCopyMat(d->eps->ds,DS_MAT_Q,0,0,Z,0,0,nV,size_X,PETSC_FALSE);
    182:     MatDestroy(&Z);
    183:   }
    184:   if (size_plusk > 0 && DVD_IS(d->sEP,DVD_EP_INDEFINITE)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported plusk>0 in indefinite eigenvalue problems");
    185:   if (size_plusk > 0) {
    186:     DSCopyMat(d->eps->ds,DS_MAT_Q,0,size_X,data->oldU,0,0,nV,size_plusk,PETSC_FALSE);
    187:   }
    188:   if (DVD_IS(d->sEP,DVD_EP_INDEFINITE)) {
    189:     DSPseudoOrthogonalize(d->eps->ds,DS_MAT_Q,size_X,d->nBds,&cMTX,d->nBds);
    190:   } else {
    191:     DSOrthogonalize(d->eps->ds,DS_MAT_Q,size_X+size_plusk,&cMTX);
    192:   }

    194:   if (d->W && size_plusk > 0) {
    195:     /* ps.Z <- orth([ps.Z(0:size_X-1) [oldV(0:size_plusk-1); 0] ]) */
    196:     DSCopyMat(d->eps->ds,DS_MAT_Z,0,size_X,data->oldV,0,0,nV,size_plusk,PETSC_FALSE);
    197:     DSOrthogonalize(d->eps->ds,DS_MAT_Z,size_X+size_plusk,&cMTY);
    198:     cMTX = PetscMin(cMTX, cMTY);
    199:   }
    200:   if (cMTX > size_X+size_plusk) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Invalid number of columns to restart");

    202:   /* Notify the changes in V and update the other subspaces */
    203:   d->V_tra_s = 0;                     d->V_tra_e = cMTX;
    204:   d->V_new_s = d->V_tra_e;            d->V_new_e = d->V_new_s;

    206:   /* Remove oldU */
    207:   data->size_oldU = 0;

    209:   /* Remove npreconv */
    210:   d->npreconv = 0;
    211:   return(0);
    212: }

    214: static PetscErrorCode dvd_updateV_testConv(dvdDashboard *d,PetscInt s,PetscInt pre,PetscInt e,PetscInt *nConv)
    215: {
    216:   PetscInt        i,j,b;
    217:   PetscReal       norm;
    218:   PetscErrorCode  ierr;
    219:   PetscBool       conv, c;
    220:   dvdManagV_basic *data = (dvdManagV_basic*)d->updateV_data;

    223:   if (nConv) *nConv = s;
    224:   for (i=s,conv=PETSC_TRUE;(conv || data->allResiduals) && (i < e);i+=b) {
    225: #if !defined(PETSC_USE_COMPLEX)
    226:     b = d->eigi[i]!=0.0?2:1;
    227: #else
    228:     b = 1;
    229: #endif
    230:     if (i+b-1 >= pre) {
    231:       d->calcpairs_residual(d,i,i+b);
    232:     }
    233:     /* Test the Schur vector */
    234:     for (j=0,c=PETSC_TRUE;j<b && c;j++) {
    235:       norm = d->nR[i+j]/d->nX[i+j];
    236:       c = d->testConv(d,d->eigr[i+j],d->eigi[i+j],norm,&d->errest[i+j]);
    237:     }
    238:     if (conv && c) { if (nConv) *nConv = i+b; }
    239:     else conv = PETSC_FALSE;
    240:   }
    241:   pre = PetscMax(pre,i);

    243: #if !defined(PETSC_USE_COMPLEX)
    244:   /* Enforce converged conjugate complex eigenpairs */
    245:   if (nConv) {
    246:     for (j=0;j<*nConv;j++) if (d->eigi[j] != 0.0) j++;
    247:     if (j>*nConv) (*nConv)--;
    248:   }
    249: #endif
    250:   for (i=pre;i<e;i++) d->errest[i] = d->nR[i] = 1.0;
    251:   return(0);
    252: }

    254: static PetscErrorCode dvd_updateV_update_gen(dvdDashboard *d)
    255: {
    256:   dvdManagV_basic *data = (dvdManagV_basic*)d->updateV_data;
    257:   PetscInt        size_D,s,lV,kV,nV;
    258:   PetscErrorCode  ierr;

    261:   /* Select the desired pairs */
    262:   BVGetActiveColumns(d->eps->V,&lV,&kV);
    263:   nV = kV - lV;
    264:   size_D = PetscMin(PetscMin(PetscMin(d->bs,nV),d->eps->ncv-nV),nV);
    265:   if (size_D == 0) return(0);

    267:   /* Fill V with D */
    268:   d->improveX(d,d->npreconv,d->npreconv+size_D,&size_D);

    270:   /* If D is empty, exit */
    271:   d->size_D = size_D;
    272:   if (size_D == 0) return(0);

    274:   /* Get the residual of all pairs */
    275: #if !defined(PETSC_USE_COMPLEX)
    276:   s = (d->eigi[0]!=0.0)? 2: 1;
    277: #else
    278:   s = 1;
    279: #endif
    280:   BVGetActiveColumns(d->eps->V,&lV,&kV);
    281:   nV = kV - lV;
    282:   dvd_updateV_testConv(d,s,s,data->allResiduals?nV:size_D,NULL);

    284:   /* Notify the changes in V */
    285:   d->V_tra_s = 0;                 d->V_tra_e = 0;
    286:   d->V_new_s = nV;                d->V_new_e = nV+size_D;

    288:   /* Save the projected eigenvectors */
    289:   if (data->plusk > 0) {
    290:     MatZeroEntries(data->oldU);
    291:     data->size_oldU = nV;
    292:     DSCopyMat(d->eps->ds,DS_MAT_Q,0,0,data->oldU,0,0,nV,nV,PETSC_TRUE);
    293:     if (d->W) {
    294:       MatZeroEntries(data->oldV);
    295:       DSCopyMat(d->eps->ds,DS_MAT_Z,0,0,data->oldV,0,0,nV,nV,PETSC_TRUE);
    296:     }
    297:   }
    298:   return(0);
    299: }

    301: static PetscErrorCode dvd_updateV_extrapol(dvdDashboard *d)
    302: {
    303:   dvdManagV_basic *data = (dvdManagV_basic*)d->updateV_data;
    304:   PetscInt        i;
    305:   PetscBool       restart,t;
    306:   PetscErrorCode  ierr;

    309:   /* TODO: restrict select pairs to each case */
    310:   d->calcpairs_selectPairs(d, data->min_size_V+d->npreconv);

    312:   /* If the subspaces doesn't need restart, add new vector */
    313:   d->isRestarting(d,&restart);
    314:   if (!restart) {
    315:     d->size_D = 0;
    316:     dvd_updateV_update_gen(d);

    318:     /* If no vector were converged, exit */
    319:     /* For GHEP without B-ortho, converge all of the requested pairs at once */
    320:     PetscObjectTypeCompare((PetscObject)d->eps->ds,DSGHEP,&t);
    321:     if (d->nconv+d->npreconv < d->nev && (t || d->npreconv == 0)) return(0);
    322:   }

    324:   /* If some eigenpairs were converged, lock them  */
    325:   if (d->npreconv > 0) {
    326:     i = d->npreconv;
    327:     dvd_updateV_conv_gen(d);

    329:     /* If some eigenpair was locked, exit */
    330:     if (i > d->npreconv) return(0);
    331:   }

    333:   /* Else, a restarting is performed */
    334:   dvd_updateV_restart_gen(d);
    335:   return(0);
    336: }

    338: PetscErrorCode dvd_managementV_basic(dvdDashboard *d,dvdBlackboard *b,PetscInt bs,PetscInt mpd,PetscInt min_size_V,PetscInt plusk,PetscBool harm,PetscBool allResiduals)
    339: {
    340:   PetscErrorCode  ierr;
    341:   dvdManagV_basic *data;
    342: #if !defined(PETSC_USE_COMPLEX)
    343:   PetscBool       her_probl,std_probl;
    344: #endif

    347:   /* Setting configuration constrains */
    348: #if !defined(PETSC_USE_COMPLEX)
    349:   /* if the last converged eigenvalue is complex its conjugate pair is also
    350:      converged */
    351:   her_probl = DVD_IS(d->sEP,DVD_EP_HERMITIAN)? PETSC_TRUE: PETSC_FALSE;
    352:   std_probl = DVD_IS(d->sEP,DVD_EP_STD)? PETSC_TRUE: PETSC_FALSE;
    353:   b->max_size_X = PetscMax(b->max_size_X,bs+((her_probl && std_probl)?0:1));
    354: #else
    355:   b->max_size_X = PetscMax(b->max_size_X,bs);
    356: #endif

    358:   b->max_size_V = PetscMax(b->max_size_V,mpd);
    359:   min_size_V = PetscMin(min_size_V,mpd-bs);
    360:   b->size_V = PetscMax(b->size_V,b->max_size_V+b->max_size_P+b->max_nev);
    361:   b->max_size_oldX = plusk;

    363:   /* Setup the step */
    364:   if (b->state >= DVD_STATE_CONF) {
    365:     PetscNewLog(d->eps,&data);
    366:     data->mpd = b->max_size_V;
    367:     data->min_size_V = min_size_V;
    368:     d->bs = bs;
    369:     data->plusk = plusk;
    370:     data->allResiduals = allResiduals;

    372:     d->eigr = d->eps->eigr;
    373:     d->eigi = d->eps->eigi;
    374:     d->errest = d->eps->errest;
    375:     PetscMalloc1(d->eps->ncv,&d->real_nR);
    376:     PetscMalloc1(d->eps->ncv,&d->real_nX);
    377:     if (plusk > 0) { MatCreateSeqDense(PETSC_COMM_SELF,d->eps->ncv,d->eps->ncv,NULL,&data->oldU); }
    378:     else data->oldU = NULL;
    379:     if (harm && plusk>0) { MatCreateSeqDense(PETSC_COMM_SELF,d->eps->ncv,d->eps->ncv,NULL,&data->oldV); }
    380:     else data->oldV = NULL;

    382:     data->old_updateV_data = d->updateV_data;
    383:     d->updateV_data = data;
    384:     data->old_isRestarting = d->isRestarting;
    385:     d->isRestarting = dvd_isrestarting_fullV;
    386:     d->updateV = dvd_updateV_extrapol;
    387:     d->preTestConv = dvd_updateV_testConv;
    388:     EPSDavidsonFLAdd(&d->startList,dvd_updateV_start);
    389:     EPSDavidsonFLAdd(&d->destroyList,dvd_managementV_basic_d);
    390:   }
    391:   return(0);
    392: }