Date: 2021-09-20T09:44:17+00:00

Actual source code: bvimpl.h
slepc-3.15.2 2021-09-20
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2021, 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: */

     11: #if !defined(SLEPCBVIMPL_H)
     12: #define SLEPCBVIMPL_H

     14: #include <slepcbv.h>
     15: #include <slepc/private/slepcimpl.h>

     17: SLEPC_EXTERN PetscBool BVRegisterAllCalled;
     18: SLEPC_EXTERN PetscErrorCode BVRegisterAll(void);

     20: SLEPC_EXTERN PetscLogEvent BV_Create,BV_Copy,BV_Mult,BV_MultVec,BV_MultInPlace,BV_Dot,BV_DotVec,BV_Orthogonalize,BV_OrthogonalizeVec,BV_Scale,BV_Norm,BV_NormVec,BV_Normalize,BV_SetRandom,BV_MatMult,BV_MatMultVec,BV_MatProject;

     22: typedef struct _BVOps *BVOps;

     24: struct _BVOps {
     25:   PetscErrorCode (*mult)(BV,PetscScalar,PetscScalar,BV,Mat);
     26:   PetscErrorCode (*multvec)(BV,PetscScalar,PetscScalar,Vec,PetscScalar*);
     27:   PetscErrorCode (*multinplace)(BV,Mat,PetscInt,PetscInt);
     28:   PetscErrorCode (*multinplacetrans)(BV,Mat,PetscInt,PetscInt);
     29:   PetscErrorCode (*dot)(BV,BV,Mat);
     30:   PetscErrorCode (*dotvec)(BV,Vec,PetscScalar*);
     31:   PetscErrorCode (*dotvec_local)(BV,Vec,PetscScalar*);
     32:   PetscErrorCode (*dotvec_begin)(BV,Vec,PetscScalar*);
     33:   PetscErrorCode (*dotvec_end)(BV,Vec,PetscScalar*);
     34:   PetscErrorCode (*scale)(BV,PetscInt,PetscScalar);
     35:   PetscErrorCode (*norm)(BV,PetscInt,NormType,PetscReal*);
     36:   PetscErrorCode (*norm_local)(BV,PetscInt,NormType,PetscReal*);
     37:   PetscErrorCode (*norm_begin)(BV,PetscInt,NormType,PetscReal*);
     38:   PetscErrorCode (*norm_end)(BV,PetscInt,NormType,PetscReal*);
     39:   PetscErrorCode (*normalize)(BV,PetscScalar*);
     40:   PetscErrorCode (*matmult)(BV,Mat,BV);
     41:   PetscErrorCode (*copy)(BV,BV);
     42:   PetscErrorCode (*copycolumn)(BV,PetscInt,PetscInt);
     43:   PetscErrorCode (*resize)(BV,PetscInt,PetscBool);
     44:   PetscErrorCode (*getcolumn)(BV,PetscInt,Vec*);
     45:   PetscErrorCode (*restorecolumn)(BV,PetscInt,Vec*);
     46:   PetscErrorCode (*getarray)(BV,PetscScalar**);
     47:   PetscErrorCode (*restorearray)(BV,PetscScalar**);
     48:   PetscErrorCode (*getarrayread)(BV,const PetscScalar**);
     49:   PetscErrorCode (*restorearrayread)(BV,const PetscScalar**);
     50:   PetscErrorCode (*restoresplit)(BV,BV*,BV*);
     51:   PetscErrorCode (*gramschmidt)(BV,PetscInt,Vec,PetscBool*,PetscScalar*,PetscScalar*,PetscReal*,PetscReal*);
     52:   PetscErrorCode (*getmat)(BV,Mat*);
     53:   PetscErrorCode (*restoremat)(BV,Mat*);
     54:   PetscErrorCode (*duplicate)(BV,BV);
     55:   PetscErrorCode (*create)(BV);
     56:   PetscErrorCode (*setfromoptions)(PetscOptionItems*,BV);
     57:   PetscErrorCode (*view)(BV,PetscViewer);
     58:   PetscErrorCode (*destroy)(BV);
     59: };

     61: struct _p_BV {
     62:   PETSCHEADER(struct _BVOps);
     63:   /*------------------------- User parameters --------------------------*/
     64:   Vec                t;            /* template vector */
     65:   PetscInt           n,N;          /* dimensions of vectors (local, global) */
     66:   PetscInt           m;            /* number of vectors */
     67:   PetscInt           l;            /* number of leading columns */
     68:   PetscInt           k;            /* number of active columns */
     69:   PetscInt           nc;           /* number of constraints */
     70:   BVOrthogType       orthog_type;  /* the method of vector orthogonalization */
     71:   BVOrthogRefineType orthog_ref;   /* refinement method */
     72:   PetscReal          orthog_eta;   /* refinement threshold */
     73:   BVOrthogBlockType  orthog_block; /* the method of block orthogonalization */
     74:   Mat                matrix;       /* inner product matrix */
     75:   PetscBool          indef;        /* matrix is indefinite */
     76:   BVMatMultType      vmm;          /* version of matmult operation */
     77:   PetscBool          rrandom;      /* reproducible random vectors */
     78:   PetscReal          deftol;       /* tolerance for BV_SafeSqrt */

     80:   /*---------------------- Cached data and workspace -------------------*/
     81:   Vec                buffer;       /* buffer vector used in orthogonalization */
     82:   Mat                Abuffer;      /* auxiliary seqdense matrix that wraps the buffer */
     83:   Vec                Bx;           /* result of matrix times a vector x */
     84:   PetscObjectId      xid;          /* object id of vector x */
     85:   PetscObjectState   xstate;       /* state of vector x */
     86:   Vec                cv[2];        /* column vectors obtained with BVGetColumn() */
     87:   PetscInt           ci[2];        /* column indices of obtained vectors */
     88:   PetscObjectState   st[2];        /* state of obtained vectors */
     89:   PetscObjectId      id[2];        /* object id of obtained vectors */
     90:   PetscScalar        *h,*c;        /* orthogonalization coefficients */
     91:   Vec                omega;        /* signature matrix values for indefinite case */
     92:   PetscBool          defersfo;     /* deferred call to setfromoptions */
     93:   BV                 cached;       /* cached BV to store result of matrix times BV */
     94:   PetscObjectState   bvstate;      /* state of BV when BVApplyMatrixBV() was called */
     95:   BV                 L,R;          /* BV objects obtained with BVGetSplit() */
     96:   PetscObjectState   lstate,rstate;/* state of L and R when BVGetSplit() was called */
     97:   PetscInt           lsplit;       /* the value of l when BVGetSplit() was called */
     98:   PetscInt           issplit;      /* >0 if this BV has been created by splitting (1=left, 2=right) */
     99:   BV                 splitparent;  /* my parent if I am a split BV */
    100:   PetscRandom        rand;         /* random number generator */
    101:   Mat                Acreate;      /* matrix given at BVCreateFromMat() */
    102:   Mat                Aget;         /* matrix returned for BVGetMat() */
    103:   PetscBool          cuda;         /* true if GPU must be used in SVEC */
    104:   PetscBool          sfocalled;    /* setfromoptions has been called */
    105:   PetscScalar        *work;
    106:   PetscInt           lwork;
    107:   void               *data;
    108: };

    110: /*
    111:   BV_SafeSqrt - Computes the square root of a scalar value alpha, which is
    112:   assumed to be z'*B*z. The result is
    113:     if definite inner product:     res = sqrt(alpha)
    114:     if indefinite inner product:   res = sgn(alpha)*sqrt(abs(alpha))
    115: */
    116: PETSC_STATIC_INLINE PetscErrorCode BV_SafeSqrt(BV bv,PetscScalar alpha,PetscReal *res)
    117: {
    119:   PetscReal      absal,realp;

    122:   absal = PetscAbsScalar(alpha);
    123:   realp = PetscRealPart(alpha);
    124:   if (absal<PETSC_MACHINE_EPSILON) {
    125:     PetscInfo(bv,"Zero norm, either the vector is zero or a semi-inner product is being used\n");
    126:   }
    127: #if defined(PETSC_USE_COMPLEX)
    128:   if (PetscAbsReal(PetscImaginaryPart(alpha))>bv->deftol && PetscAbsReal(PetscImaginaryPart(alpha))/absal>10*bv->deftol) SETERRQ1(PetscObjectComm((PetscObject)bv),1,"The inner product is not well defined: nonzero imaginary part %g",PetscImaginaryPart(alpha));
    129: #endif
    130:   if (bv->indef) {
    131:     *res = (realp<0.0)? -PetscSqrtReal(-realp): PetscSqrtReal(realp);
    132:   } else {
    133:     if (realp<-bv->deftol) SETERRQ(PetscObjectComm((PetscObject)bv),1,"The inner product is not well defined: indefinite matrix");
    134:     *res = (realp<0.0)? 0.0: PetscSqrtReal(realp);
    135:   }
    136:   return(0);
    137: }

    139: /*
    140:   BV_IPMatMult - Multiply a vector x by the inner-product matrix, cache the
    141:   result in Bx.
    142: */
    143: PETSC_STATIC_INLINE PetscErrorCode BV_IPMatMult(BV bv,Vec x)
    144: {

    148:   if (((PetscObject)x)->id != bv->xid || ((PetscObject)x)->state != bv->xstate) {
    149:     if (!bv->Bx) {
    150:       MatCreateVecs(bv->matrix,&bv->Bx,NULL);
    151:       PetscLogObjectParent((PetscObject)bv,(PetscObject)bv->Bx);
    152:     }
    153:     MatMult(bv->matrix,x,bv->Bx);
    154:     PetscObjectGetId((PetscObject)x,&bv->xid);
    155:     PetscObjectStateGet((PetscObject)x,&bv->xstate);
    156:   }
    157:   return(0);
    158: }

    160: /*
    161:   BV_IPMatMultBV - Multiply BV by the inner-product matrix, cache the
    162:   result internally in bv->cached.
    163: */
    164: PETSC_STATIC_INLINE PetscErrorCode BV_IPMatMultBV(BV bv)
    165: {

    169:   BVGetCachedBV(bv,&bv->cached);
    170:   if (((PetscObject)bv)->state != bv->bvstate || bv->l != bv->cached->l || bv->k != bv->cached->k) {
    171:     BVSetActiveColumns(bv->cached,bv->l,bv->k);
    172:     if (bv->matrix) {
    173:       BVMatMult(bv,bv->matrix,bv->cached);
    174:     } else {
    175:       BVCopy(bv,bv->cached);
    176:     }
    177:     bv->bvstate = ((PetscObject)bv)->state;
    178:   }
    179:   return(0);
    180: }

    182: /*
    183:   BV_AllocateCoeffs - Allocate orthogonalization coefficients if not done already.
    184: */
    185: PETSC_STATIC_INLINE PetscErrorCode BV_AllocateCoeffs(BV bv)
    186: {

    190:   if (!bv->h) {
    191:     PetscMalloc2(bv->nc+bv->m,&bv->h,bv->nc+bv->m,&bv->c);
    192:     PetscLogObjectMemory((PetscObject)bv,2*bv->m*sizeof(PetscScalar));
    193:   }
    194:   return(0);
    195: }

    197: /*
    198:   BV_AllocateSignature - Allocate signature coefficients if not done already.
    199: */
    200: PETSC_STATIC_INLINE PetscErrorCode BV_AllocateSignature(BV bv)
    201: {

    205:   if (bv->indef && !bv->omega) {
    206:     if (bv->cuda) {
    207: #if defined(PETSC_HAVE_CUDA)
    208:       VecCreateSeqCUDA(PETSC_COMM_SELF,bv->nc+bv->m,&bv->omega);
    209: #else
    210:       SETERRQ(PetscObjectComm((PetscObject)bv),1,"Something wrong happened");
    211: #endif
    212:     } else {
    213:       VecCreateSeq(PETSC_COMM_SELF,bv->nc+bv->m,&bv->omega);
    214:     }
    215:     PetscLogObjectParent((PetscObject)bv,(PetscObject)bv->omega);
    216:     VecSet(bv->omega,1.0);
    217:   }
    218:   return(0);
    219: }

    221: /*
    222:   BVAvailableVec: First (0) or second (1) vector available for
    223:   getcolumn operation (or -1 if both vectors already fetched).
    224: */
    225: #define BVAvailableVec (((bv->ci[0]==-bv->nc-1)? 0: (bv->ci[1]==-bv->nc-1)? 1: -1))

    227: /*
    228:     Macros to test valid BV arguments
    229: */
    230: #if !defined(PETSC_USE_DEBUG)

    232: #define BVCheckSizes(h,arg) do {(void)(h);} while (0)
    233: #define BVCheckOp(h,arg,op) do {(void)(h);} while (0)

    235: #else

    237: #define BVCheckSizes(h,arg) \
    238:   do { \
    239:     if (!(h)->m) SETERRQ1(PetscObjectComm((PetscObject)(h)),PETSC_ERR_ARG_WRONGSTATE,"BV sizes have not been defined: Parameter #%d",arg); \
    240:   } while (0)

    242: #define BVCheckOp(h,arg,op) \
    243:   do { \
    244:     if (!(h)->ops->op) SETERRQ1(PetscObjectComm((PetscObject)(h)),PETSC_ERR_SUP,"Operation not implemented in this BV type: Parameter #%d",arg); \
    245:   } while (0)

    247: #endif

    249: SLEPC_INTERN PetscErrorCode BVView_Vecs(BV,PetscViewer);

    251: SLEPC_INTERN PetscErrorCode BVAllocateWork_Private(BV,PetscInt);

    253: SLEPC_INTERN PetscErrorCode BVMult_BLAS_Private(BV,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,const PetscScalar*,const PetscScalar*,PetscScalar,PetscScalar*);
    254: SLEPC_INTERN PetscErrorCode BVMultVec_BLAS_Private(BV,PetscInt,PetscInt,PetscScalar,const PetscScalar*,const PetscScalar*,PetscScalar,PetscScalar*);
    255: SLEPC_INTERN PetscErrorCode BVMultInPlace_BLAS_Private(BV,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar*,const PetscScalar*,PetscBool);
    256: SLEPC_INTERN PetscErrorCode BVMultInPlace_Vecs_Private(BV,PetscInt,PetscInt,PetscInt,Vec*,const PetscScalar*,PetscBool);
    257: SLEPC_INTERN PetscErrorCode BVAXPY_BLAS_Private(BV,PetscInt,PetscInt,PetscScalar,const PetscScalar*,PetscScalar,PetscScalar*);
    258: SLEPC_INTERN PetscErrorCode BVDot_BLAS_Private(BV,PetscInt,PetscInt,PetscInt,PetscInt,const PetscScalar*,const PetscScalar*,PetscScalar*,PetscBool);
    259: SLEPC_INTERN PetscErrorCode BVDotVec_BLAS_Private(BV,PetscInt,PetscInt,const PetscScalar*,const PetscScalar*,PetscScalar*,PetscBool);
    260: SLEPC_INTERN PetscErrorCode BVScale_BLAS_Private(BV,PetscInt,PetscScalar*,PetscScalar);
    261: SLEPC_INTERN PetscErrorCode BVNorm_LAPACK_Private(BV,PetscInt,PetscInt,const PetscScalar*,NormType,PetscReal*,PetscBool);
    262: SLEPC_INTERN PetscErrorCode BVNormalize_LAPACK_Private(BV,PetscInt,PetscInt,const PetscScalar*,PetscScalar*,PetscBool);
    263: SLEPC_INTERN PetscErrorCode BVMatCholInv_LAPACK_Private(BV,Mat,Mat);
    264: SLEPC_INTERN PetscErrorCode BVMatTriInv_LAPACK_Private(BV,Mat,Mat);
    265: SLEPC_INTERN PetscErrorCode BVMatSVQB_LAPACK_Private(BV,Mat,Mat);
    266: SLEPC_INTERN PetscErrorCode BVOrthogonalize_LAPACK_TSQR(BV,PetscInt,PetscInt,PetscScalar*,PetscScalar*,PetscInt);
    267: SLEPC_INTERN PetscErrorCode BVOrthogonalize_LAPACK_TSQR_OnlyR(BV,PetscInt,PetscInt,PetscScalar*,PetscScalar*,PetscInt);

    269: /* reduction operations used in BVOrthogonalize and BVNormalize */
    270: SLEPC_EXTERN MPI_Op MPIU_TSQR, MPIU_LAPY2;
    271: SLEPC_EXTERN void MPIAPI SlepcGivensPacked(void*,void*,PetscMPIInt*,MPI_Datatype*);
    272: SLEPC_EXTERN void MPIAPI SlepcPythag(void*,void*,PetscMPIInt*,MPI_Datatype*);

    274: /*
    275:    BV_CleanCoefficients_Default - Sets to zero all entries of column j of the bv buffer
    276: */
    277: PETSC_STATIC_INLINE PetscErrorCode BV_CleanCoefficients_Default(BV bv,PetscInt j,PetscScalar *h)
    278: {
    280:   PetscScalar    *hh=h,*a;
    281:   PetscInt       i;

    284:   if (!h) {
    285:     VecGetArray(bv->buffer,&a);
    286:     hh = a + j*(bv->nc+bv->m);
    287:   }
    288:   for (i=0;i<bv->nc+j;i++) hh[i] = 0.0;
    289:   if (!h) { VecRestoreArray(bv->buffer,&a); }
    290:   return(0);
    291: }

    293: /*
    294:    BV_AddCoefficients_Default - Add the contents of the scratch (0-th column) of the bv buffer
    295:    into column j of the bv buffer
    296: */
    297: PETSC_STATIC_INLINE PetscErrorCode BV_AddCoefficients_Default(BV bv,PetscInt j,PetscScalar *h,PetscScalar *c)
    298: {
    300:   PetscScalar    *hh=h,*cc=c;
    301:   PetscInt       i;

    304:   if (!h) {
    305:     VecGetArray(bv->buffer,&cc);
    306:     hh = cc + j*(bv->nc+bv->m);
    307:   }
    308:   for (i=0;i<bv->nc+j;i++) hh[i] += cc[i];
    309:   if (!h) { VecRestoreArray(bv->buffer,&cc); }
    310:   PetscLogFlops(1.0*(bv->nc+j));
    311:   return(0);
    312: }

    314: /*
    315:    BV_SetValue_Default - Sets value in row j (counted after the constraints) of column k
    316:    of the coefficients array
    317: */
    318: PETSC_STATIC_INLINE PetscErrorCode BV_SetValue_Default(BV bv,PetscInt j,PetscInt k,PetscScalar *h,PetscScalar value)
    319: {
    321:   PetscScalar    *hh=h,*a;

    324:   if (!h) {
    325:     VecGetArray(bv->buffer,&a);
    326:     hh = a + k*(bv->nc+bv->m);
    327:   }
    328:   hh[bv->nc+j] = value;
    329:   if (!h) { VecRestoreArray(bv->buffer,&a); }
    330:   return(0);
    331: }

    333: /*
    334:    BV_SquareSum_Default - Returns the value h'*h, where h represents the contents of the
    335:    coefficients array (up to position j)
    336: */
    337: PETSC_STATIC_INLINE PetscErrorCode BV_SquareSum_Default(BV bv,PetscInt j,PetscScalar *h,PetscReal *sum)
    338: {
    340:   PetscScalar    *hh=h;
    341:   PetscInt       i;

    344:   *sum = 0.0;
    345:   if (!h) { VecGetArray(bv->buffer,&hh); }
    346:   for (i=0;i<bv->nc+j;i++) *sum += PetscRealPart(hh[i]*PetscConj(hh[i]));
    347:   if (!h) { VecRestoreArray(bv->buffer,&hh); }
    348:   PetscLogFlops(2.0*(bv->nc+j));
    349:   return(0);
    350: }

    352: /*
    353:    BV_ApplySignature_Default - Computes the pointwise product h*omega, where h represents
    354:    the contents of the coefficients array (up to position j) and omega is the signature;
    355:    if inverse=TRUE then the operation is h/omega
    356: */
    357: PETSC_STATIC_INLINE PetscErrorCode BV_ApplySignature_Default(BV bv,PetscInt j,PetscScalar *h,PetscBool inverse)
    358: {
    359:   PetscErrorCode    ierr;
    360:   PetscScalar       *hh=h;
    361:   PetscInt          i;
    362:   const PetscScalar *omega;

    365:   if (!(bv->nc+j)) return(0);
    366:   if (!h) { VecGetArray(bv->buffer,&hh); }
    367:   VecGetArrayRead(bv->omega,&omega);
    368:   if (inverse) for (i=0;i<bv->nc+j;i++) hh[i] /= PetscRealPart(omega[i]);
    369:   else for (i=0;i<bv->nc+j;i++) hh[i] *= PetscRealPart(omega[i]);
    370:   VecRestoreArrayRead(bv->omega,&omega);
    371:   if (!h) { VecRestoreArray(bv->buffer,&hh); }
    372:   PetscLogFlops(1.0*(bv->nc+j));
    373:   return(0);
    374: }

    376: /*
    377:    BV_SquareRoot_Default - Returns the square root of position j (counted after the constraints)
    378:    of the coefficients array
    379: */
    380: PETSC_STATIC_INLINE PetscErrorCode BV_SquareRoot_Default(BV bv,PetscInt j,PetscScalar *h,PetscReal *beta)
    381: {
    383:   PetscScalar    *hh=h;

    386:   if (!h) { VecGetArray(bv->buffer,&hh); }
    387:   BV_SafeSqrt(bv,hh[bv->nc+j],beta);
    388:   if (!h) { VecRestoreArray(bv->buffer,&hh); }
    389:   return(0);
    390: }

    392: /*
    393:    BV_StoreCoefficients_Default - Copy the contents of the coefficients array to an array dest
    394:    provided by the caller (only values from l to j are copied)
    395: */
    396: PETSC_STATIC_INLINE PetscErrorCode BV_StoreCoefficients_Default(BV bv,PetscInt j,PetscScalar *h,PetscScalar *dest)
    397: {
    399:   PetscScalar    *hh=h,*a;
    400:   PetscInt       i;

    403:   if (!h) {
    404:     VecGetArray(bv->buffer,&a);
    405:     hh = a + j*(bv->nc+bv->m);
    406:   }
    407:   for (i=bv->l;i<j;i++) dest[i-bv->l] = hh[bv->nc+i];
    408:   if (!h) { VecRestoreArray(bv->buffer,&a); }
    409:   return(0);
    410: }

    412: /*
    413:   BV_GetEigenvector - retrieves k-th eigenvector from basis vectors V.
    414:   The argument eigi is the imaginary part of the corresponding eigenvalue.
    415: */
    416: PETSC_STATIC_INLINE PetscErrorCode BV_GetEigenvector(BV V,PetscInt k,PetscScalar eigi,Vec Vr,Vec Vi)
    417: {

    421: #if defined(PETSC_USE_COMPLEX)
    422:   if (Vr) { BVCopyVec(V,k,Vr); }
    423:   if (Vi) { VecSet(Vi,0.0); }
    424: #else
    425:   if (eigi > 0.0) { /* first value of conjugate pair */
    426:     if (Vr) { BVCopyVec(V,k,Vr); }
    427:     if (Vi) { BVCopyVec(V,k+1,Vi); }
    428:   } else if (eigi < 0.0) { /* second value of conjugate pair */
    429:     if (Vr) { BVCopyVec(V,k-1,Vr); }
    430:     if (Vi) {
    431:       BVCopyVec(V,k,Vi);
    432:       VecScale(Vi,-1.0);
    433:     }
    434:   } else { /* real eigenvalue */
    435:     if (Vr) { BVCopyVec(V,k,Vr); }
    436:     if (Vi) { VecSet(Vi,0.0); }
    437:   }
    438: #endif
    439:   return(0);
    440: }

    442: /*
    443:    BV_OrthogonalizeColumn_Safe - this is intended for cases where we know that
    444:    the resulting vector is going to be numerically zero, so normalization or
    445:    iterative refinement may cause problems in parallel (collective operation
    446:    not being called by all processes)
    447: */
    448: PETSC_STATIC_INLINE PetscErrorCode BV_OrthogonalizeColumn_Safe(BV bv,PetscInt j,PetscScalar *H,PetscReal *norm,PetscBool *lindep)
    449: {
    450:   PetscErrorCode     ierr;
    451:   BVOrthogRefineType orthog_ref;

    454:   PetscInfo1(bv,"Orthogonalizing column %D without refinement\n",j);
    455:   orthog_ref     = bv->orthog_ref;
    456:   bv->orthog_ref = BV_ORTHOG_REFINE_NEVER;  /* avoid refinement */
    457:   BVOrthogonalizeColumn(bv,j,H,NULL,NULL);
    458:   bv->orthog_ref = orthog_ref;  /* restore refinement setting */
    459:   if (norm)   *norm  = 0.0;
    460:   if (lindep) *lindep = PETSC_TRUE;
    461:   return(0);
    462: }

    464: #if defined(PETSC_HAVE_CUDA)
    465: SLEPC_INTERN PetscErrorCode BV_CleanCoefficients_CUDA(BV,PetscInt,PetscScalar*);
    466: SLEPC_INTERN PetscErrorCode BV_AddCoefficients_CUDA(BV,PetscInt,PetscScalar*,PetscScalar*);
    467: SLEPC_INTERN PetscErrorCode BV_SetValue_CUDA(BV,PetscInt,PetscInt,PetscScalar*,PetscScalar);
    468: SLEPC_INTERN PetscErrorCode BV_SquareSum_CUDA(BV,PetscInt,PetscScalar*,PetscReal*);
    469: SLEPC_INTERN PetscErrorCode BV_ApplySignature_CUDA(BV,PetscInt,PetscScalar*,PetscBool);
    470: SLEPC_INTERN PetscErrorCode BV_SquareRoot_CUDA(BV,PetscInt,PetscScalar*,PetscReal*);
    471: SLEPC_INTERN PetscErrorCode BV_StoreCoefficients_CUDA(BV,PetscInt,PetscScalar*,PetscScalar*);
    472: #define BV_CleanCoefficients(a,b,c)   ((a)->cuda?BV_CleanCoefficients_CUDA:BV_CleanCoefficients_Default)((a),(b),(c))
    473: #define BV_AddCoefficients(a,b,c,d)   ((a)->cuda?BV_AddCoefficients_CUDA:BV_AddCoefficients_Default)((a),(b),(c),(d))
    474: #define BV_SetValue(a,b,c,d,e)        ((a)->cuda?BV_SetValue_CUDA:BV_SetValue_Default)((a),(b),(c),(d),(e))
    475: #define BV_SquareSum(a,b,c,d)         ((a)->cuda?BV_SquareSum_CUDA:BV_SquareSum_Default)((a),(b),(c),(d))
    476: #define BV_ApplySignature(a,b,c,d)    ((a)->cuda?BV_ApplySignature_CUDA:BV_ApplySignature_Default)((a),(b),(c),(d))
    477: #define BV_SquareRoot(a,b,c,d)        ((a)->cuda?BV_SquareRoot_CUDA:BV_SquareRoot_Default)((a),(b),(c),(d))
    478: #define BV_StoreCoefficients(a,b,c,d) ((a)->cuda?BV_StoreCoefficients_CUDA:BV_StoreCoefficients_Default)((a),(b),(c),(d))
    479: #else
    480: #define BV_CleanCoefficients(a,b,c)   BV_CleanCoefficients_Default((a),(b),(c))
    481: #define BV_AddCoefficients(a,b,c,d)   BV_AddCoefficients_Default((a),(b),(c),(d))
    482: #define BV_SetValue(a,b,c,d,e)        BV_SetValue_Default((a),(b),(c),(d),(e))
    483: #define BV_SquareSum(a,b,c,d)         BV_SquareSum_Default((a),(b),(c),(d))
    484: #define BV_ApplySignature(a,b,c,d)    BV_ApplySignature_Default((a),(b),(c),(d))
    485: #define BV_SquareRoot(a,b,c,d)        BV_SquareRoot_Default((a),(b),(c),(d))
    486: #define BV_StoreCoefficients(a,b,c,d) BV_StoreCoefficients_Default((a),(b),(c),(d))
    487: #endif /* PETSC_HAVE_CUDA */

    489: #endif