Date: 2018-10-23T10:32:34+00:00

Actual source code: nepsetup.c
slepc-3.10.1 2018-10-23
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2018, 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:    NEP routines related to problem setup
     12: */

     14: #include <slepc/private/nepimpl.h>       /*I "slepcnep.h" I*/

     16: /*@
     17:    NEPSetUp - Sets up all the internal data structures necessary for the
     18:    execution of the NEP solver.

     20:    Collective on NEP

     22:    Input Parameter:
     23: .  nep   - solver context

     25:    Notes:
     26:    This function need not be called explicitly in most cases, since NEPSolve()
     27:    calls it. It can be useful when one wants to measure the set-up time
     28:    separately from the solve time.

     30:    Level: developer

     32: .seealso: NEPCreate(), NEPSolve(), NEPDestroy()
     33: @*/
     34: PetscErrorCode NEPSetUp(NEP nep)
     35: {
     37:   PetscInt       k;
     38:   SlepcSC        sc;
     39:   Mat            T;
     40:   PetscBool      flg;
     41:   KSP            ksp;
     42:   PC             pc;
     43:   PetscMPIInt    size;
     44:   MatSolverType  stype;

     48:   NEPCheckProblem(nep,1);
     49:   if (nep->state) return(0);
     50:   PetscLogEventBegin(NEP_SetUp,nep,0,0,0);

     52:   /* reset the convergence flag from the previous solves */
     53:   nep->reason = NEP_CONVERGED_ITERATING;

     55:   /* set default solver type (NEPSetFromOptions was not called) */
     56:   if (!((PetscObject)nep)->type_name) {
     57:     NEPSetType(nep,NEPRII);
     58:   }
     59:   if (!nep->ds) { NEPGetDS(nep,&nep->ds); }
     60:   if (!nep->rg) { NEPGetRG(nep,&nep->rg); }
     61:   if (!((PetscObject)nep->rg)->type_name) {
     62:     RGSetType(nep->rg,RGINTERVAL);
     63:   }

     65:   /* set problem dimensions */
     66:   switch (nep->fui) {
     67:   case NEP_USER_INTERFACE_CALLBACK:
     68:     NEPGetFunction(nep,&T,NULL,NULL,NULL);
     69:     MatGetSize(T,&nep->n,NULL);
     70:     MatGetLocalSize(T,&nep->nloc,NULL);
     71:     break;
     72:   case NEP_USER_INTERFACE_SPLIT:
     73:     MatDuplicate(nep->A[0],MAT_DO_NOT_COPY_VALUES,&nep->function);
     74:     MatDuplicate(nep->A[0],MAT_DO_NOT_COPY_VALUES,&nep->jacobian);
     75:     PetscLogObjectParent((PetscObject)nep,(PetscObject)nep->function);
     76:     PetscLogObjectParent((PetscObject)nep,(PetscObject)nep->jacobian);
     77:     MatGetSize(nep->A[0],&nep->n,NULL);
     78:     MatGetLocalSize(nep->A[0],&nep->nloc,NULL);
     79:     break;
     80:   case NEP_USER_INTERFACE_DERIVATIVES:
     81:     NEPGetDerivatives(nep,&T,NULL,NULL);
     82:     MatGetSize(T,&nep->n,NULL);
     83:     MatGetLocalSize(T,&nep->nloc,NULL);
     84:     break;
     85:   }

     87:   /* set default problem type */
     88:   if (!nep->problem_type) {
     89:     NEPSetProblemType(nep,NEP_GENERAL);
     90:   }

     92:   /* check consistency of refinement options */
     93:   if (nep->refine) {
     94:     if (nep->fui!=NEP_USER_INTERFACE_SPLIT) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"Iterative refinement only implemented in split form");
     95:     if (!nep->scheme) {  /* set default scheme */
     96:       NEPRefineGetKSP(nep,&ksp);
     97:       KSPGetPC(ksp,&pc);
     98:       PetscObjectTypeCompare((PetscObject)ksp,KSPPREONLY,&flg);
     99:       if (flg) {
    100:         PetscObjectTypeCompareAny((PetscObject)pc,&flg,PCLU,PCCHOLESKY,"");
    101:       }
    102:       nep->scheme = flg? NEP_REFINE_SCHEME_MBE: NEP_REFINE_SCHEME_SCHUR;
    103:     }
    104:     if (nep->scheme==NEP_REFINE_SCHEME_MBE) {
    105:       NEPRefineGetKSP(nep,&ksp);
    106:       KSPGetPC(ksp,&pc);
    107:       PetscObjectTypeCompare((PetscObject)ksp,KSPPREONLY,&flg);
    108:       if (flg) {
    109:         PetscObjectTypeCompareAny((PetscObject)pc,&flg,PCLU,PCCHOLESKY,"");
    110:       }
    111:       if (!flg) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"The MBE scheme for refinement requires a direct solver in KSP");
    112:       MPI_Comm_size(PetscObjectComm((PetscObject)pc),&size);
    113:       if (size>1) {   /* currently selected PC is a factorization */
    114:         PCFactorGetMatSolverType(pc,&stype);
    115:         PetscStrcmp(stype,MATSOLVERPETSC,&flg);
    116:         if (flg) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"For Newton refinement, you chose to solve linear systems with a factorization, but in parallel runs you need to select an external package");
    117:       }
    118:     }
    119:     if (nep->scheme==NEP_REFINE_SCHEME_SCHUR) {
    120:       if (nep->npart>1) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"The Schur scheme for refinement does not support subcommunicators");
    121:     }
    122:   }
    123:   /* call specific solver setup */
    124:   (*nep->ops->setup)(nep);

    126:   /* by default, compute eigenvalues close to target */
    127:   /* nep->target should contain the initial guess for the eigenvalue */
    128:   if (!nep->which) nep->which = NEP_TARGET_MAGNITUDE;

    130:   /* set tolerance if not yet set */
    131:   if (nep->tol==PETSC_DEFAULT) nep->tol = SLEPC_DEFAULT_TOL;
    132:   if (nep->refine) {
    133:     if (nep->rtol==PETSC_DEFAULT) nep->rtol = PetscMax(nep->tol/1000,PETSC_MACHINE_EPSILON);
    134:     if (nep->rits==PETSC_DEFAULT) nep->rits = (nep->refine==NEP_REFINE_SIMPLE)? 10: 1;
    135:   }

    137:   /* fill sorting criterion context */
    138:   switch (nep->which) {
    139:     case NEP_LARGEST_MAGNITUDE:
    140:       nep->sc->comparison    = SlepcCompareLargestMagnitude;
    141:       nep->sc->comparisonctx = NULL;
    142:       break;
    143:     case NEP_SMALLEST_MAGNITUDE:
    144:       nep->sc->comparison    = SlepcCompareSmallestMagnitude;
    145:       nep->sc->comparisonctx = NULL;
    146:       break;
    147:     case NEP_LARGEST_REAL:
    148:       nep->sc->comparison    = SlepcCompareLargestReal;
    149:       nep->sc->comparisonctx = NULL;
    150:       break;
    151:     case NEP_SMALLEST_REAL:
    152:       nep->sc->comparison    = SlepcCompareSmallestReal;
    153:       nep->sc->comparisonctx = NULL;
    154:       break;
    155:     case NEP_LARGEST_IMAGINARY:
    156:       nep->sc->comparison    = SlepcCompareLargestImaginary;
    157:       nep->sc->comparisonctx = NULL;
    158:       break;
    159:     case NEP_SMALLEST_IMAGINARY:
    160:       nep->sc->comparison    = SlepcCompareSmallestImaginary;
    161:       nep->sc->comparisonctx = NULL;
    162:       break;
    163:     case NEP_TARGET_MAGNITUDE:
    164:       nep->sc->comparison    = SlepcCompareTargetMagnitude;
    165:       nep->sc->comparisonctx = &nep->target;
    166:       break;
    167:     case NEP_TARGET_REAL:
    168:       nep->sc->comparison    = SlepcCompareTargetReal;
    169:       nep->sc->comparisonctx = &nep->target;
    170:       break;
    171:     case NEP_TARGET_IMAGINARY:
    172: #if defined(PETSC_USE_COMPLEX)
    173:       nep->sc->comparison    = SlepcCompareTargetImaginary;
    174:       nep->sc->comparisonctx = &nep->target;
    175: #endif
    176:       break;
    177:     case NEP_ALL:
    178:       nep->sc->comparison    = SlepcCompareSmallestReal;
    179:       nep->sc->comparisonctx = NULL;
    180:       break;
    181:     case NEP_WHICH_USER:
    182:       break;
    183:   }

    185:   nep->sc->map    = NULL;
    186:   nep->sc->mapobj = NULL;

    188:   /* fill sorting criterion for DS */
    189:   DSGetSlepcSC(nep->ds,&sc);
    190:   sc->comparison    = nep->sc->comparison;
    191:   sc->comparisonctx = nep->sc->comparisonctx;
    192:   PetscObjectTypeCompare((PetscObject)nep,NEPNLEIGS,&flg);
    193:   if (!flg) {
    194:     sc->map    = NULL;
    195:     sc->mapobj = NULL;
    196:   }
    197:   if (nep->nev > nep->ncv) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_OUTOFRANGE,"nev bigger than ncv");

    199:   /* process initial vectors */
    200:   if (nep->nini<0) {
    201:     k = -nep->nini;
    202:     if (k>nep->ncv) SETERRQ(PetscObjectComm((PetscObject)nep),1,"The number of initial vectors is larger than ncv");
    203:     BVInsertVecs(nep->V,0,&k,nep->IS,PETSC_TRUE);
    204:     SlepcBasisDestroy_Private(&nep->nini,&nep->IS);
    205:     nep->nini = k;
    206:   }
    207:   PetscLogEventEnd(NEP_SetUp,nep,0,0,0);
    208:   nep->state = NEP_STATE_SETUP;
    209:   return(0);
    210: }

    212: /*@C
    213:    NEPSetInitialSpace - Specify a basis of vectors that constitute the initial
    214:    space, that is, the subspace from which the solver starts to iterate.

    216:    Collective on NEP and Vec

    218:    Input Parameter:
    219: +  nep   - the nonlinear eigensolver context
    220: .  n     - number of vectors
    221: -  is    - set of basis vectors of the initial space

    223:    Notes:
    224:    Some solvers start to iterate on a single vector (initial vector). In that case,
    225:    the other vectors are ignored.

    227:    These vectors do not persist from one NEPSolve() call to the other, so the
    228:    initial space should be set every time.

    230:    The vectors do not need to be mutually orthonormal, since they are explicitly
    231:    orthonormalized internally.

    233:    Common usage of this function is when the user can provide a rough approximation
    234:    of the wanted eigenspace. Then, convergence may be faster.

    236:    Level: intermediate
    237: @*/
    238: PetscErrorCode NEPSetInitialSpace(NEP nep,PetscInt n,Vec *is)
    239: {

    245:   if (n<0) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_OUTOFRANGE,"Argument n cannot be negative");
    246:   SlepcBasisReference_Private(n,is,&nep->nini,&nep->IS);
    247:   if (n>0) nep->state = NEP_STATE_INITIAL;
    248:   return(0);
    249: }

    251: /*
    252:   NEPSetDimensions_Default - Set reasonable values for ncv, mpd if not set
    253:   by the user. This is called at setup.
    254:  */
    255: PetscErrorCode NEPSetDimensions_Default(NEP nep,PetscInt nev,PetscInt *ncv,PetscInt *mpd)
    256: {
    258:   if (*ncv) { /* ncv set */
    259:     if (*ncv<nev) SETERRQ(PetscObjectComm((PetscObject)nep),1,"The value of ncv must be at least nev");
    260:   } else if (*mpd) { /* mpd set */
    261:     *ncv = PetscMin(nep->n,nev+(*mpd));
    262:   } else { /* neither set: defaults depend on nev being small or large */
    263:     if (nev<500) *ncv = PetscMin(nep->n,PetscMax(2*nev,nev+15));
    264:     else {
    265:       *mpd = 500;
    266:       *ncv = PetscMin(nep->n,nev+(*mpd));
    267:     }
    268:   }
    269:   if (!*mpd) *mpd = *ncv;
    270:   return(0);
    271: }

    273: /*@
    274:    NEPAllocateSolution - Allocate memory storage for common variables such
    275:    as eigenvalues and eigenvectors.

    277:    Collective on NEP

    279:    Input Parameters:
    280: +  nep   - eigensolver context
    281: -  extra - number of additional positions, used for methods that require a
    282:            working basis slightly larger than ncv

    284:    Developers Note:
    285:    This is PETSC_EXTERN because it may be required by user plugin NEP
    286:    implementations.

    288:    Level: developer
    289: @*/
    290: PetscErrorCode NEPAllocateSolution(NEP nep,PetscInt extra)
    291: {
    293:   PetscInt       oldsize,newc,requested;
    294:   PetscLogDouble cnt;
    295:   Mat            T;
    296:   Vec            t;

    299:   requested = nep->ncv + extra;

    301:   /* oldsize is zero if this is the first time setup is called */
    302:   BVGetSizes(nep->V,NULL,NULL,&oldsize);
    303:   newc = PetscMax(0,requested-oldsize);

    305:   /* allocate space for eigenvalues and friends */
    306:   if (requested != oldsize || !nep->eigr) {
    307:     PetscFree4(nep->eigr,nep->eigi,nep->errest,nep->perm);
    308:     PetscMalloc4(requested,&nep->eigr,requested,&nep->eigi,requested,&nep->errest,requested,&nep->perm);
    309:     cnt = newc*sizeof(PetscScalar) + newc*sizeof(PetscReal) + newc*sizeof(PetscInt);
    310:     PetscLogObjectMemory((PetscObject)nep,cnt);
    311:   }

    313:   /* allocate V */
    314:   if (!nep->V) { NEPGetBV(nep,&nep->V); }
    315:   if (!oldsize) {
    316:     if (!((PetscObject)(nep->V))->type_name) {
    317:       BVSetType(nep->V,BVSVEC);
    318:     }
    319:     if (nep->fui==NEP_USER_INTERFACE_SPLIT) T = nep->A[0];
    320:     else {
    321:       NEPGetFunction(nep,&T,NULL,NULL,NULL);
    322:     }
    323:     MatCreateVecsEmpty(T,&t,NULL);
    324:     BVSetSizesFromVec(nep->V,t,requested);
    325:     VecDestroy(&t);
    326:   } else {
    327:     BVResize(nep->V,requested,PETSC_FALSE);
    328:   }
    329:   return(0);
    330: }