Actual source code: dsghep.c

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: #include <slepc/private/dsimpl.h>
 12: #include <slepcblaslapack.h>

 14: PetscErrorCode DSAllocate_GHEP(DS ds,PetscInt ld)
 15: {

 19:   DSAllocateMat_Private(ds,DS_MAT_A);
 20:   DSAllocateMat_Private(ds,DS_MAT_B);
 21:   DSAllocateMat_Private(ds,DS_MAT_Q);
 22:   PetscFree(ds->perm);
 23:   PetscMalloc1(ld,&ds->perm);
 24:   PetscLogObjectMemory((PetscObject)ds,ld*sizeof(PetscInt));
 25:   return(0);
 26: }

 28: PetscErrorCode DSView_GHEP(DS ds,PetscViewer viewer)
 29: {
 30:   PetscErrorCode    ierr;
 31:   PetscViewerFormat format;

 34:   PetscViewerGetFormat(viewer,&format);
 35:   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) return(0);
 36:   DSViewMat(ds,viewer,DS_MAT_A);
 37:   DSViewMat(ds,viewer,DS_MAT_B);
 38:   if (ds->state>DS_STATE_INTERMEDIATE) { DSViewMat(ds,viewer,DS_MAT_Q); }
 39:   if (ds->mat[DS_MAT_X]) { DSViewMat(ds,viewer,DS_MAT_X); }
 40:   return(0);
 41: }

 43: PetscErrorCode DSVectors_GHEP(DS ds,DSMatType mat,PetscInt *j,PetscReal *rnorm)
 44: {
 45:   PetscScalar    *Q = ds->mat[DS_MAT_Q];
 46:   PetscInt       ld = ds->ld;

 50:   if (rnorm) SETERRQ(PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented yet");
 51:   switch (mat) {
 52:     case DS_MAT_X:
 53:     case DS_MAT_Y:
 54:       if (j) {
 55:         if (ds->state>=DS_STATE_CONDENSED) {
 56:           PetscArraycpy(ds->mat[mat]+(*j)*ld,Q+(*j)*ld,ld);
 57:         } else {
 58:           PetscArrayzero(ds->mat[mat]+(*j)*ld,ld);
 59:           *(ds->mat[mat]+(*j)+(*j)*ld) = 1.0;
 60:         }
 61:       } else {
 62:         if (ds->state>=DS_STATE_CONDENSED) {
 63:           PetscArraycpy(ds->mat[mat],Q,ld*ld);
 64:         } else {
 65:           DSSetIdentity(ds,mat);
 66:         }
 67:       }
 68:       break;
 69:     case DS_MAT_U:
 70:     case DS_MAT_VT:
 71:       SETERRQ(PetscObjectComm((PetscObject)ds),PETSC_ERR_SUP,"Not implemented yet");
 72:     default:
 73:       SETERRQ(PetscObjectComm((PetscObject)ds),PETSC_ERR_ARG_OUTOFRANGE,"Invalid mat parameter");
 74:   }
 75:   return(0);
 76: }

 78: PetscErrorCode DSSort_GHEP(DS ds,PetscScalar *wr,PetscScalar *wi,PetscScalar *rr,PetscScalar *ri,PetscInt *k)
 79: {
 81:   PetscInt       n,l,i,*perm,ld=ds->ld;
 82:   PetscScalar    *A;

 85:   if (!ds->sc) return(0);
 86:   n = ds->n;
 87:   l = ds->l;
 88:   A  = ds->mat[DS_MAT_A];
 89:   perm = ds->perm;
 90:   for (i=l;i<n;i++) wr[i] = A[i+i*ld];
 91:   if (rr) {
 92:     DSSortEigenvalues_Private(ds,rr,ri,perm,PETSC_FALSE);
 93:   } else {
 94:     DSSortEigenvalues_Private(ds,wr,NULL,perm,PETSC_FALSE);
 95:   }
 96:   for (i=l;i<n;i++) A[i+i*ld] = wr[perm[i]];
 97:   for (i=l;i<n;i++) wr[i] = A[i+i*ld];
 98:   DSPermuteColumns_Private(ds,l,n,DS_MAT_Q,perm);
 99:   return(0);
100: }

102: PetscErrorCode DSSolve_GHEP(DS ds,PetscScalar *wr,PetscScalar *wi)
103: {
105:   PetscScalar    *work,*A,*B,*Q;
106:   PetscBLASInt   itype = 1,*iwork,info,n1,liwork,ld,lrwork=0,lwork;
107:   PetscInt       off,i;
108: #if defined(PETSC_USE_COMPLEX)
109:   PetscReal      *rwork,*rr;
110: #endif

113:   PetscBLASIntCast(ds->n-ds->l,&n1);
114:   PetscBLASIntCast(ds->ld,&ld);
115:   PetscBLASIntCast(5*ds->n+3,&liwork);
116: #if defined(PETSC_USE_COMPLEX)
117:   PetscBLASIntCast(ds->n*ds->n+2*ds->n,&lwork);
118:   PetscBLASIntCast(2*ds->n*ds->n+5*ds->n+1+n1,&lrwork);
119: #else
120:   PetscBLASIntCast(2*ds->n*ds->n+6*ds->n+1,&lwork);
121: #endif
122:   DSAllocateWork_Private(ds,lwork,lrwork,liwork);
123:   work = ds->work;
124:   iwork = ds->iwork;
125:   off = ds->l+ds->l*ld;
126:   A = ds->mat[DS_MAT_A];
127:   B = ds->mat[DS_MAT_B];
128:   Q = ds->mat[DS_MAT_Q];
129: #if defined(PETSC_USE_COMPLEX)
130:   rr = ds->rwork;
131:   rwork = ds->rwork + n1;
132:   lrwork = ds->lrwork - n1;
133:   PetscStackCallBLAS("LAPACKsygvd",LAPACKsygvd_(&itype,"V","U",&n1,A+off,&ld,B+off,&ld,rr,work,&lwork,rwork,&lrwork,iwork,&liwork,&info));
134:   for (i=0;i<n1;i++) wr[ds->l+i] = rr[i];
135: #else
136:   PetscStackCallBLAS("LAPACKsygvd",LAPACKsygvd_(&itype,"V","U",&n1,A+off,&ld,B+off,&ld,wr+ds->l,work,&lwork,iwork,&liwork,&info));
137: #endif
138:   SlepcCheckLapackInfo("sygvd",info);
139:   PetscArrayzero(Q+ds->l*ld,n1*ld);
140:   for (i=ds->l;i<ds->n;i++) {
141:     PetscArraycpy(Q+ds->l+i*ld,A+ds->l+i*ld,n1);
142:   }
143:   PetscArrayzero(B+ds->l*ld,n1*ld);
144:   PetscArrayzero(A+ds->l*ld,n1*ld);
145:   for (i=ds->l;i<ds->n;i++) {
146:     if (wi) wi[i] = 0.0;
147:     B[i+i*ld] = 1.0;
148:     A[i+i*ld] = wr[i];
149:   }
150:   return(0);
151: }

153: PetscErrorCode DSSynchronize_GHEP(DS ds,PetscScalar eigr[],PetscScalar eigi[])
154: {
156:   PetscInt       ld=ds->ld,l=ds->l,k;
157:   PetscMPIInt    n,rank,off=0,size,ldn;

160:   k = 2*(ds->n-l)*ld;
161:   if (ds->state>DS_STATE_RAW) k += (ds->n-l)*ld;
162:   if (eigr) k += (ds->n-l);
163:   DSAllocateWork_Private(ds,k,0,0);
164:   PetscMPIIntCast(k*sizeof(PetscScalar),&size);
165:   PetscMPIIntCast(ds->n-l,&n);
166:   PetscMPIIntCast(ld*(ds->n-l),&ldn);
167:   MPI_Comm_rank(PetscObjectComm((PetscObject)ds),&rank);CHKERRMPI(ierr);
168:   if (!rank) {
169:     MPI_Pack(ds->mat[DS_MAT_A]+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds));CHKERRMPI(ierr);
170:     MPI_Pack(ds->mat[DS_MAT_B]+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds));CHKERRMPI(ierr);
171:     if (ds->state>DS_STATE_RAW) {
172:       MPI_Pack(ds->mat[DS_MAT_Q]+l*ld,ldn,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds));CHKERRMPI(ierr);
173:     }
174:     if (eigr) {
175:       MPI_Pack(eigr+l,n,MPIU_SCALAR,ds->work,size,&off,PetscObjectComm((PetscObject)ds));CHKERRMPI(ierr);
176:     }
177:   }
178:   MPI_Bcast(ds->work,size,MPI_BYTE,0,PetscObjectComm((PetscObject)ds));CHKERRMPI(ierr);
179:   if (rank) {
180:     MPI_Unpack(ds->work,size,&off,ds->mat[DS_MAT_A]+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds));CHKERRMPI(ierr);
181:     MPI_Unpack(ds->work,size,&off,ds->mat[DS_MAT_B]+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds));CHKERRMPI(ierr);
182:     if (ds->state>DS_STATE_RAW) {
183:       MPI_Unpack(ds->work,size,&off,ds->mat[DS_MAT_Q]+l*ld,ldn,MPIU_SCALAR,PetscObjectComm((PetscObject)ds));CHKERRMPI(ierr);
184:     }
185:     if (eigr) {
186:       MPI_Unpack(ds->work,size,&off,eigr+l,n,MPIU_SCALAR,PetscObjectComm((PetscObject)ds));CHKERRMPI(ierr);
187:     }
188:   }
189:   return(0);
190: }

192: PetscErrorCode DSHermitian_GHEP(DS ds,DSMatType m,PetscBool *flg)
193: {
195:   if (m==DS_MAT_A || m==DS_MAT_B) *flg = PETSC_TRUE;
196:   else *flg = PETSC_FALSE;
197:   return(0);
198: }

200: SLEPC_EXTERN PetscErrorCode DSCreate_GHEP(DS ds)
201: {
203:   ds->ops->allocate      = DSAllocate_GHEP;
204:   ds->ops->view          = DSView_GHEP;
205:   ds->ops->vectors       = DSVectors_GHEP;
206:   ds->ops->solve[0]      = DSSolve_GHEP;
207:   ds->ops->sort          = DSSort_GHEP;
208:   ds->ops->synchronize   = DSSynchronize_GHEP;
209:   ds->ops->hermitian     = DSHermitian_GHEP;
210:   return(0);
211: }