/*
This file implements a wrapper to the LAPACK eigenvalue subroutines.
Generalized problems are transformed to standard ones only if necessary.
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SLEPc - Scalable Library for Eigenvalue Problem Computations
Copyright (c) 2002-2007, Universidad Politecnica de Valencia, Spain
This file is part of SLEPc. See the README file for conditions of use
and additional information.
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*/
#include "src/eps/epsimpl.h"
#include "slepcblaslapack.h"
typedef struct {
Mat OP,A,B;
} EPS_LAPACK;
#undef __FUNCT__
#define __FUNCT__ "EPSSetUp_LAPACK"
PetscErrorCode EPSSetUp_LAPACK(EPS eps)
{
PetscErrorCode ierr,ierra,ierrb;
PetscInt N;
EPS_LAPACK *la = (EPS_LAPACK *)eps->data;
PetscTruth flg;
Mat A,B;
PetscScalar shift;
KSP ksp;
PC pc;
PetscFunctionBegin;
ierr = VecGetSize(eps->vec_initial,&N);CHKERRQ(ierr);
eps->ncv = N;
if (la->OP) { ierr = MatDestroy(la->OP);CHKERRQ(ierr); }
if (la->A) { ierr = MatDestroy(la->A);CHKERRQ(ierr); }
if (la->B) { ierr = MatDestroy(la->B);CHKERRQ(ierr); }
ierr = PetscTypeCompare((PetscObject)eps->OP,STSHIFT,&flg);CHKERRQ(ierr);
ierr = STGetOperators(eps->OP,&A,&B);CHKERRQ(ierr);
if (flg) {
la->OP = PETSC_NULL;
PetscPushErrorHandler(PetscIgnoreErrorHandler,PETSC_NULL);
ierra = SlepcMatConvertSeqDense(A,&la->A);CHKERRQ(ierr);
if (eps->isgeneralized) {
ierrb = SlepcMatConvertSeqDense(B,&la->B);CHKERRQ(ierr);
} else {
ierrb = 0;
la->B = PETSC_NULL;
}
PetscPopErrorHandler();
if (ierra == 0 && ierrb == 0) {
ierr = STGetShift(eps->OP,&shift);CHKERRQ(ierr);
if (shift != 0.0) {
ierr = MatShift(la->A,shift);CHKERRQ(ierr);
}
/* use dummy pc and ksp to avoid problems when B is not positive definite */
ierr = STGetKSP(eps->OP,&ksp);CHKERRQ(ierr);
ierr = KSPSetType(ksp,KSPPREONLY);CHKERRQ(ierr);
ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr);
ierr = PCSetType(pc,PCNONE);CHKERRQ(ierr);
ierr = EPSAllocateSolutionContiguous(eps);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
}
PetscInfo(eps,"Using slow explicit operator\n");
la->A = PETSC_NULL;
la->B = PETSC_NULL;
ierr = STComputeExplicitOperator(eps->OP,&la->OP);CHKERRQ(ierr);
ierr = PetscTypeCompare((PetscObject)la->OP,MATSEQDENSE,&flg);CHKERRQ(ierr);
if (!flg) {
ierr = SlepcMatConvertSeqDense(la->OP,&la->OP);CHKERRQ(ierr);
}
ierr = EPSAllocateSolutionContiguous(eps);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "EPSSolve_LAPACK"
PetscErrorCode EPSSolve_LAPACK(EPS eps)
{
PetscErrorCode ierr;
PetscInt n,i,low,high;
PetscMPIInt size;
PetscScalar *array,*arrayb,*pV,*pW;
PetscReal *w;
EPS_LAPACK *la = (EPS_LAPACK *)eps->data;
MPI_Comm comm = ((PetscObject)eps)->comm;
PetscFunctionBegin;
ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
ierr = VecGetSize(eps->vec_initial,&n);CHKERRQ(ierr);
if (size == 1) {
ierr = VecGetArray(eps->V[0],&pV);CHKERRQ(ierr);
} else {
ierr = PetscMalloc(sizeof(PetscScalar)*n*n,&pV);CHKERRQ(ierr);
}
if (eps->solverclass == EPS_TWO_SIDE && (la->OP || !eps->ishermitian)) {
if (size == 1) {
ierr = VecGetArray(eps->W[0],&pW);CHKERRQ(ierr);
} else {
ierr = PetscMalloc(sizeof(PetscScalar)*n*n,&pW);CHKERRQ(ierr);
}
} else pW = PETSC_NULL;
if (la->OP) {
ierr = MatGetArray(la->OP,&array);CHKERRQ(ierr);
ierr = EPSDenseNHEP(n,array,eps->eigr,eps->eigi,pV,pW);CHKERRQ(ierr);
ierr = MatRestoreArray(la->OP,&array);CHKERRQ(ierr);
} else if (eps->ishermitian) {
#if defined(PETSC_USE_COMPLEX)
ierr = PetscMalloc(n*sizeof(PetscReal),&w);CHKERRQ(ierr);
#else
w = eps->eigr;
#endif
ierr = MatGetArray(la->A,&array);CHKERRQ(ierr);
if (!eps->isgeneralized) {
ierr = EPSDenseHEP(n,array,n,w,pV);CHKERRQ(ierr);
} else {
ierr = MatGetArray(la->B,&arrayb);CHKERRQ(ierr);
ierr = EPSDenseGHEP(n,array,arrayb,w,pV);CHKERRQ(ierr);
ierr = MatRestoreArray(la->B,&arrayb);CHKERRQ(ierr);
}
ierr = MatRestoreArray(la->A,&array);CHKERRQ(ierr);
#if defined(PETSC_USE_COMPLEX)
for (i=0;i<n;i++) {
eps->eigr[i] = w[i];
}
ierr = PetscFree(w);CHKERRQ(ierr);
#endif
} else {
ierr = MatGetArray(la->A,&array);CHKERRQ(ierr);
if (!eps->isgeneralized) {
ierr = EPSDenseNHEP(n,array,eps->eigr,eps->eigi,pV,pW);CHKERRQ(ierr);
} else {
ierr = MatGetArray(la->B,&arrayb);CHKERRQ(ierr);
ierr = EPSDenseGNHEP(n,array,arrayb,eps->eigr,eps->eigi,pV,pW);CHKERRQ(ierr);
ierr = MatRestoreArray(la->B,&arrayb);CHKERRQ(ierr);
}
ierr = MatRestoreArray(la->A,&array);CHKERRQ(ierr);
}
if (size == 1) {
ierr = VecRestoreArray(eps->V[0],&pV);CHKERRQ(ierr);
} else {
for (i=0; i<eps->ncv; i++) {
ierr = VecGetOwnershipRange(eps->V[i], &low, &high);CHKERRQ(ierr);
ierr = VecGetArray(eps->V[i], &array);CHKERRQ(ierr);
ierr = PetscMemcpy(array, pV+i*n+low, (high-low)*sizeof(PetscScalar));
ierr = VecRestoreArray(eps->V[i], &array);CHKERRQ(ierr);
}
ierr = PetscFree(pV);CHKERRQ(ierr);
}
if (pW) {
if (size == 1) {
ierr = VecRestoreArray(eps->W[0],&pW);CHKERRQ(ierr);
} else {
for (i=0; i<eps->ncv; i++) {
ierr = VecGetOwnershipRange(eps->W[i], &low, &high);CHKERRQ(ierr);
ierr = VecGetArray(eps->W[i], &array);CHKERRQ(ierr);
ierr = PetscMemcpy(array, pW+i*n+low, (high-low)*sizeof(PetscScalar));
ierr = VecRestoreArray(eps->W[i], &array);CHKERRQ(ierr);
}
ierr = PetscFree(pW);CHKERRQ(ierr);
}
}
eps->nconv = eps->ncv;
eps->its = 1;
eps->reason = EPS_CONVERGED_TOL;
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "EPSDestroy_LAPACK"
PetscErrorCode EPSDestroy_LAPACK(EPS eps)
{
PetscErrorCode ierr;
EPS_LAPACK *la = (EPS_LAPACK *)eps->data;
PetscFunctionBegin;
PetscValidHeaderSpecific(eps,EPS_COOKIE,1);
if (la->OP) { ierr = MatDestroy(la->OP);CHKERRQ(ierr); }
if (la->A) { ierr = MatDestroy(la->A);CHKERRQ(ierr); }
if (la->B) { ierr = MatDestroy(la->B);CHKERRQ(ierr); }
ierr = PetscFree(eps->data);CHKERRQ(ierr);
ierr = EPSFreeSolutionContiguous(eps);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
EXTERN_C_BEGIN
#undef __FUNCT__
#define __FUNCT__ "EPSCreate_LAPACK"
PetscErrorCode EPSCreate_LAPACK(EPS eps)
{
PetscErrorCode ierr;
EPS_LAPACK *la;
PetscFunctionBegin;
ierr = PetscNew(EPS_LAPACK,&la);CHKERRQ(ierr);
PetscLogObjectMemory(eps,sizeof(EPS_LAPACK));
eps->data = (void *) la;
eps->ops->solve = EPSSolve_LAPACK;
eps->ops->solvets = EPSSolve_LAPACK;
eps->ops->setup = EPSSetUp_LAPACK;
eps->ops->destroy = EPSDestroy_LAPACK;
eps->ops->backtransform = EPSBackTransform_Default;
eps->ops->computevectors = EPSComputeVectors_Default;
PetscFunctionReturn(0);
}
EXTERN_C_END