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/*

       This file implements a wrapper to the ARPACK package

   - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

   SLEPc - Scalable Library for Eigenvalue Problem Computations

   Copyright (c) 2002-2010, Universidad Politecnica de Valencia, Spain

   This file is part of SLEPc.

   SLEPc is free software: you can redistribute it and/or modify it under  the

   terms of version 3 of the GNU Lesser General Public License as published by

   the Free Software Foundation.

   SLEPc  is  distributed in the hope that it will be useful, but WITHOUT  ANY

   WARRANTY;  without even the implied warranty of MERCHANTABILITY or  FITNESS

   FOR  A  PARTICULAR PURPOSE. See the GNU Lesser General Public  License  for

   more details.

   You  should have received a copy of the GNU Lesser General  Public  License

   along with SLEPc. If not, see <http://www.gnu.org/licenses/>.

   - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

*/

#include <private/epsimpl.h>        /*I "slepceps.h" I*/

#include <private/stimpl.h>         /*I "slepcst.h" I*/

#include <../src/eps/impls/external/arpack/arpackp.h>

PetscErrorCode EPSSolve_ARPACK(EPS);

#undef __FUNCT__  

#define __FUNCT__ "EPSSetUp_ARPACK"

PetscErrorCode EPSSetUp_ARPACK(EPS eps)

{

  PetscErrorCode ierr;

  PetscInt       ncv;

  EPS_ARPACK     *ar = (EPS_ARPACK *)eps->data;

  PetscFunctionBegin;

  if (eps->ncv) {

    if (eps->ncv<eps->nev+2) SETERRQ(((PetscObject)eps)->comm,1,"The value of ncv must be at least nev+2");

  } else /* set default value of ncv */

    eps->ncv = PetscMin(PetscMax(20,2*eps->nev+1),eps->n);

  if (eps->mpd) PetscInfo(eps,"Warning: parameter mpd ignored\n");

  if (!eps->max_it) eps->max_it = PetscMax(300,(PetscInt)(2*eps->n/eps->ncv));

  if (!eps->which) eps->which = EPS_LARGEST_MAGNITUDE;

  ncv = eps->ncv;

#if defined(PETSC_USE_COMPLEX)

  ierr = PetscFree(ar->rwork);CHKERRQ(ierr);

  ierr = PetscMalloc(ncv*sizeof(PetscReal),&ar->rwork);CHKERRQ(ierr);

  ar->lworkl = PetscBLASIntCast(3*ncv*ncv+5*ncv);

  ierr = PetscFree(ar->workev);CHKERRQ(ierr);

  ierr = PetscMalloc(3*ncv*sizeof(PetscScalar),&ar->workev);CHKERRQ(ierr);

#else

  if( eps->ishermitian ) {

    ar->lworkl = PetscBLASIntCast(ncv*(ncv+8));

  } else {

    ar->lworkl = PetscBLASIntCast(3*ncv*ncv+6*ncv);

    ierr = PetscFree(ar->workev);CHKERRQ(ierr);

    ierr = PetscMalloc(3*ncv*sizeof(PetscScalar),&ar->workev);CHKERRQ(ierr);

  }

#endif

  ierr = PetscFree(ar->workl);CHKERRQ(ierr);

  ierr = PetscMalloc(ar->lworkl*sizeof(PetscScalar),&ar->workl);CHKERRQ(ierr);

  ierr = PetscFree(ar->select);CHKERRQ(ierr);

  ierr = PetscMalloc(ncv*sizeof(PetscBool),&ar->select);CHKERRQ(ierr);

  ierr = PetscFree(ar->workd);CHKERRQ(ierr);

  ierr = PetscMalloc(3*eps->nloc*sizeof(PetscScalar),&ar->workd);CHKERRQ(ierr);

  if (eps->extraction) {

     ierr = PetscInfo(eps,"Warning: extraction type ignored\n");CHKERRQ(ierr);

  }

  if (eps->balance!=EPS_BALANCE_NONE)

    SETERRQ(((PetscObject)eps)->comm,PETSC_ERR_SUP,"Balancing not supported in the Arpack interface");

  ierr = EPSAllocateSolution(eps);CHKERRQ(ierr);

  ierr = EPSDefaultGetWork(eps,2);CHKERRQ(ierr);

  /* dispatch solve method */

  if (eps->leftvecs) SETERRQ(((PetscObject)eps)->comm,PETSC_ERR_SUP,"Left vectors not supported in this solver");

  eps->ops->solve = EPSSolve_ARPACK;

  PetscFunctionReturn(0);

}

#undef __FUNCT__  

#define __FUNCT__ "EPSSolve_ARPACK"

PetscErrorCode EPSSolve_ARPACK(EPS eps)

{

  PetscErrorCode ierr;

  EPS_ARPACK     *ar = (EPS_ARPACK *)eps->data;

  char           bmat[1], howmny[] = "A";

  const char     *which;

  PetscBLASInt   n, iparam[11], ipntr[14], ido, info, nev, ncv, fcomm;

  PetscScalar    sigmar, *pV, *resid;

  Vec            x, y, w = eps->work[0];

  Mat            A;

  PetscBool      isSinv, isShift, rvec;

#if !defined(PETSC_USE_COMPLEX)

  PetscScalar    sigmai = 0.0;

#endif

  PetscFunctionBegin;

  nev = PetscBLASIntCast(eps->nev);

  ncv = PetscBLASIntCast(eps->ncv);

  fcomm = PetscBLASIntCast(MPI_Comm_c2f(((PetscObject)eps)->comm));

  n = PetscBLASIntCast(eps->nloc);

  ierr = VecCreateMPIWithArray(((PetscObject)eps)->comm,eps->nloc,PETSC_DECIDE,PETSC_NULL,&x);CHKERRQ(ierr);

  ierr = VecCreateMPIWithArray(((PetscObject)eps)->comm,eps->nloc,PETSC_DECIDE,PETSC_NULL,&y);CHKERRQ(ierr);

  ierr = VecGetArray(eps->V[0],&pV);CHKERRQ(ierr);

  ierr = EPSGetStartVector(eps,0,eps->work[1],PETSC_NULL);CHKERRQ(ierr);

  ierr = VecGetArray(eps->work[1],&resid);CHKERRQ(ierr);

  ido  = 0;            /* first call to reverse communication interface */

  info = 1;            /* indicates a initial vector is provided */

  iparam[0] = 1;       /* use exact shifts */

  iparam[2] = PetscBLASIntCast(eps->max_it);  /* maximum number of Arnoldi update iterations */

  iparam[3] = 1;       /* blocksize */

  iparam[4] = 0;       /* number of converged Ritz values */

  /*

     Computational modes ([]=not supported):

            symmetric    non-symmetric    complex

        1     1  'I'        1  'I'         1  'I'

        2     3  'I'        3  'I'         3  'I'

        3     2  'G'        2  'G'         2  'G'

        4     3  'G'        3  'G'         3  'G'

        5   [ 4  'G' ]    [ 3  'G' ]

        6   [ 5  'G' ]    [ 4  'G' ]

   */

  ierr = PetscTypeCompare((PetscObject)eps->OP,STSINVERT,&isSinv);CHKERRQ(ierr);

  ierr = PetscTypeCompare((PetscObject)eps->OP,STSHIFT,&isShift);CHKERRQ(ierr);

  ierr = STGetShift(eps->OP,&sigmar);CHKERRQ(ierr);

  ierr = STGetOperators(eps->OP,&A,PETSC_NULL);CHKERRQ(ierr);

  if (isSinv) {

    /* shift-and-invert mode */

    iparam[6] = 3;

    if (eps->ispositive) bmat[0] = 'G';

    else bmat[0] = 'I';

  } else if (isShift && eps->ispositive) {

    /* generalized shift mode with B positive definite */

    iparam[6] = 2;

    bmat[0] = 'G';

  } else {

    /* regular mode */

    if (eps->ishermitian && eps->isgeneralized)

      SETERRQ(((PetscObject)eps)->comm,PETSC_ERR_SUP,"Spectral transformation not supported by ARPACK hermitian solver");

    iparam[6] = 1;

    bmat[0] = 'I';

  }

#if !defined(PETSC_USE_COMPLEX)

    if (eps->ishermitian) {

      switch(eps->which) {

        case EPS_TARGET_MAGNITUDE:

        case EPS_LARGEST_MAGNITUDE:  which = "LM"; break;

        case EPS_SMALLEST_MAGNITUDE: which = "SM"; break;

        case EPS_TARGET_REAL:

        case EPS_LARGEST_REAL:       which = "LA"; break;

        case EPS_SMALLEST_REAL:      which = "SA"; break;

        default: SETERRQ(((PetscObject)eps)->comm,1,"Wrong value of eps->which");

      }

    } else {

#endif

      switch(eps->which) {

        case EPS_TARGET_MAGNITUDE:

        case EPS_LARGEST_MAGNITUDE:  which = "LM"; break;

        case EPS_SMALLEST_MAGNITUDE: which = "SM"; break;

        case EPS_TARGET_REAL:

        case EPS_LARGEST_REAL:       which = "LR"; break;

        case EPS_SMALLEST_REAL:      which = "SR"; break;

        case EPS_TARGET_IMAGINARY:

        case EPS_LARGEST_IMAGINARY:  which = "LI"; break;

        case EPS_SMALLEST_IMAGINARY: which = "SI"; break;

        default: SETERRQ(((PetscObject)eps)->comm,1,"Wrong value of eps->which");

      }

#if !defined(PETSC_USE_COMPLEX)

    }

#endif

  do {

#if !defined(PETSC_USE_COMPLEX)

    if (eps->ishermitian) {

      ARsaupd_( &fcomm, &ido, bmat, &n, which, &nev, &eps->tol,

                resid, &ncv, pV, &n, iparam, ipntr, ar->workd,

                ar->workl, &ar->lworkl, &info, 1, 2 );

    }

    else {

      ARnaupd_( &fcomm, &ido, bmat, &n, which, &nev, &eps->tol,

                resid, &ncv, pV, &n, iparam, ipntr, ar->workd,

                ar->workl, &ar->lworkl, &info, 1, 2 );

    }

#else

    ARnaupd_( &fcomm, &ido, bmat, &n, which, &nev, &eps->tol,

              resid, &ncv, pV, &n, iparam, ipntr, ar->workd,

              ar->workl, &ar->lworkl, ar->rwork, &info, 1, 2 );

#endif

    if (ido == -1 || ido == 1 || ido == 2) {

      if (ido == 1 && iparam[6] == 3 && bmat[0] == 'G') {

        /* special case for shift-and-invert with B semi-positive definite*/

        ierr = VecPlaceArray(x,&ar->workd[ipntr[2]-1]); CHKERRQ(ierr);

      } else {

        ierr = VecPlaceArray(x,&ar->workd[ipntr[0]-1]); CHKERRQ(ierr);

      }

      ierr = VecPlaceArray(y,&ar->workd[ipntr[1]-1]); CHKERRQ(ierr);

      if (ido == -1) {

        /* Y = OP * X for for the initialization phase to

           force the starting vector into the range of OP */

        ierr = STApply(eps->OP,x,y); CHKERRQ(ierr);

      } else if (ido == 2) {

        /* Y = B * X */

        ierr = IPApplyMatrix(eps->ip,x,y); CHKERRQ(ierr);

      } else { /* ido == 1 */

        if (iparam[6] == 3 && bmat[0] == 'G') {

          /* Y = OP * X for shift-and-invert with B semi-positive definite */

          ierr = STAssociatedKSPSolve(eps->OP,x,y);CHKERRQ(ierr);

        } else if (iparam[6] == 2) {

          /* X=A*X Y=B^-1*X for shift with B positive definite */

          ierr = MatMult(A,x,y);CHKERRQ(ierr);

          if (sigmar != 0.0) {

            ierr = IPApplyMatrix(eps->ip,x,w);CHKERRQ(ierr);

            ierr = VecAXPY(y,sigmar,w);CHKERRQ(ierr);

          }

          ierr = VecCopy(y,x); CHKERRQ(ierr);

          ierr = STAssociatedKSPSolve(eps->OP,x,y);CHKERRQ(ierr);

        } else  {

          /* Y = OP * X */

          ierr = STApply(eps->OP,x,y); CHKERRQ(ierr);        

        }

        ierr = IPOrthogonalize(eps->ip,0,PETSC_NULL,eps->nds,PETSC_NULL,eps->DS,y,PETSC_NULL,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr);

      }

      ierr = VecResetArray(x); CHKERRQ(ierr);

      ierr = VecResetArray(y); CHKERRQ(ierr);

    } else if (ido != 99) {

      SETERRQ1(((PetscObject)eps)->comm,1,"Internal error in ARPACK reverse comunication interface (ido=%i)\n",ido);

    }

  } while (ido != 99);

  eps->nconv = iparam[4];

  eps->its = iparam[2];

  if (info==3) { SETERRQ(((PetscObject)eps)->comm,1,"No shift could be applied in xxAUPD.\n"

                           "Try increasing the size of NCV relative to NEV."); }

  else if (info!=0 && info!=1) { SETERRQ1(((PetscObject)eps)->comm,PETSC_ERR_LIB,"Error reported by ARPACK subroutine xxAUPD (%d)",info);}

  rvec = PETSC_TRUE;

  if (eps->nconv > 0) {

#if !defined(PETSC_USE_COMPLEX)

    if (eps->ishermitian) {

      ierr = EPSMonitor(eps,iparam[2],iparam[4],&ar->workl[ipntr[5]-1],eps->eigi,&ar->workl[ipntr[6]-1],eps->ncv);CHKERRQ(ierr);

      ARseupd_ ( &fcomm, &rvec, howmny, ar->select, eps->eigr,  

                 pV, &n, &sigmar,

                 bmat, &n, which, &nev, &eps->tol,

                 resid, &ncv, pV, &n, iparam, ipntr, ar->workd,

                 ar->workl, &ar->lworkl, &info, 1, 1, 2 );

    }

    else {

      ierr = EPSMonitor(eps,iparam[2],iparam[4],&ar->workl[ipntr[5]-1],&ar->workl[ipntr[6]-1],&ar->workl[ipntr[7]-1],eps->ncv);CHKERRQ(ierr);

      ARneupd_ ( &fcomm, &rvec, howmny, ar->select, eps->eigr, eps->eigi,

                 pV, &n, &sigmar, &sigmai, ar->workev,

                 bmat, &n, which, &nev, &eps->tol,

                 resid, &ncv, pV, &n, iparam, ipntr, ar->workd,

                 ar->workl, &ar->lworkl, &info, 1, 1, 2 );

    }

#else

    ierr = EPSMonitor(eps,eps->its,iparam[4],&ar->workl[ipntr[5]-1],eps->eigi,(PetscReal*)&ar->workl[ipntr[7]-1],eps->ncv);CHKERRQ(ierr);

    ARneupd_ ( &fcomm, &rvec, howmny, ar->select, eps->eigr,

               pV, &n, &sigmar, ar->workev,

               bmat, &n, which, &nev, &eps->tol,

               resid, &ncv, pV, &n, iparam, ipntr, ar->workd,

               ar->workl, &ar->lworkl, ar->rwork, &info, 1, 1, 2 );

#endif

    if (info!=0) { SETERRQ1(((PetscObject)eps)->comm,PETSC_ERR_LIB,"Error reported by ARPACK subroutine xxEUPD (%d)",info); }

  }

  ierr = VecRestoreArray( eps->V[0], &pV ); CHKERRQ(ierr);

  ierr = VecRestoreArray( eps->work[1], &resid ); CHKERRQ(ierr);

  if( eps->nconv >= eps->nev ) eps->reason = EPS_CONVERGED_TOL;

  else eps->reason = EPS_DIVERGED_ITS;

  if (eps->ishermitian) {

    ierr = PetscMemcpy(eps->errest,&ar->workl[ipntr[8]-1],eps->nconv);CHKERRQ(ierr);

  } else {

    ierr = PetscMemcpy(eps->errest,&ar->workl[ipntr[10]-1],eps->nconv);CHKERRQ(ierr);

  }

  ierr = VecDestroy(&x);CHKERRQ(ierr);

  ierr = VecDestroy(&y);CHKERRQ(ierr);

  PetscFunctionReturn(0);

}

#undef __FUNCT__  

#define __FUNCT__ "EPSBackTransform_ARPACK"

PetscErrorCode EPSBackTransform_ARPACK(EPS eps)

{

  PetscErrorCode ierr;

  PetscBool      isSinv;

  PetscFunctionBegin;

  ierr = PetscTypeCompare((PetscObject)eps->OP,STSINVERT,&isSinv);CHKERRQ(ierr);

  if (!isSinv) {

    ierr = EPSBackTransform_Default(eps);CHKERRQ(ierr);

  }

  PetscFunctionReturn(0);

}

#undef __FUNCT__  

#define __FUNCT__ "EPSDestroy_ARPACK"

PetscErrorCode EPSDestroy_ARPACK(EPS eps)

{

  PetscErrorCode ierr;

  EPS_ARPACK     *ar = (EPS_ARPACK *)eps->data;

  PetscFunctionBegin;

  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);

  ierr = PetscFree(ar->workev);CHKERRQ(ierr);

  ierr = PetscFree(ar->workl);CHKERRQ(ierr);

  ierr = PetscFree(ar->select);CHKERRQ(ierr);

  ierr = PetscFree(ar->workd);CHKERRQ(ierr);

#if defined(PETSC_USE_COMPLEX)

  ierr = PetscFree(ar->rwork);CHKERRQ(ierr);

#endif

  ierr = PetscFree(eps->data);CHKERRQ(ierr);

  ierr = EPSDefaultFreeWork(eps);CHKERRQ(ierr);

  ierr = EPSFreeSolution(eps);CHKERRQ(ierr);

  PetscFunctionReturn(0);

}

EXTERN_C_BEGIN

#undef __FUNCT__  

#define __FUNCT__ "EPSCreate_ARPACK"

PetscErrorCode EPSCreate_ARPACK(EPS eps)

{

  PetscErrorCode ierr;

  PetscFunctionBegin;

  ierr = PetscNewLog(eps,EPS_ARPACK,&eps->data);CHKERRQ(ierr);

  eps->ops->setup                = EPSSetUp_ARPACK;

  eps->ops->destroy              = EPSDestroy_ARPACK;

  eps->ops->backtransform        = EPSBackTransform_ARPACK;

  eps->ops->computevectors       = EPSComputeVectors_Default;

  PetscFunctionReturn(0);

}

EXTERN_C_END