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/*                      

   SLEPc eigensolver: "power"

   Method: Power Iteration

   Algorithm:

       This solver implements the power iteration for finding dominant

       eigenpairs. It also includes the following well-known methods:

       - Inverse Iteration: when used in combination with shift-and-invert

         spectral transformation.

       - Rayleigh Quotient Iteration (RQI): also with shift-and-invert plus

         a variable shift.

   References:

       [1] "Single Vector Iteration Methods in SLEPc", SLEPc Technical Report STR-2,

           available at http://www.grycap.upv.es/slepc.

   Last update: Feb 2009

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

   SLEPc - Scalable Library for Eigenvalue Problem Computations

   Copyright (c) 2002-2011, Universitat 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 <slepc-private/epsimpl.h>                /*I "slepceps.h" I*/

#include <slepcblaslapack.h>

PetscErrorCode EPSSolve_Power(EPS);

PetscErrorCode EPSSolve_TS_Power(EPS);

typedef struct {

  EPSPowerShiftType shift_type;

} EPS_POWER;

#undef __FUNCT__  

#define __FUNCT__ "EPSSetUp_Power"

PetscErrorCode EPSSetUp_Power(EPS eps)

{

  PetscErrorCode ierr;

  EPS_POWER      *power = (EPS_POWER *)eps->data;

  PetscBool      flg;

  STMatMode      mode;

  PetscFunctionBegin;

  if (eps->ncv) {

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

  }

  else eps->ncv = eps->nev;

  if (eps->mpd) { ierr = PetscInfo(eps,"Warning: parameter mpd ignored\n");CHKERRQ(ierr); }

  if (!eps->max_it) eps->max_it = PetscMax(2000,100*eps->n);

  if (!eps->which) { ierr = EPSDefaultSetWhich(eps);CHKERRQ(ierr); }

  if (eps->which!=EPS_LARGEST_MAGNITUDE && eps->which !=EPS_TARGET_MAGNITUDE)

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

  if (power->shift_type != EPS_POWER_SHIFT_CONSTANT) {

    ierr = PetscTypeCompareAny((PetscObject)eps->OP,&flg,STSINVERT,STCAYLEY,"");CHKERRQ(ierr);

    if (!flg)

      SETERRQ(((PetscObject)eps)->comm,PETSC_ERR_SUP,"Variable shifts only allowed in shift-and-invert or Cayley ST");

    ierr = STGetMatMode(eps->OP,&mode);CHKERRQ(ierr);

    if (mode == ST_MATMODE_INPLACE)

      SETERRQ(((PetscObject)eps)->comm,PETSC_ERR_SUP,"ST matrix mode inplace does not work with variable shifts");

  }

  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 this solver");

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

  if (eps->leftvecs) {

    ierr = EPSDefaultGetWork(eps,3);CHKERRQ(ierr);

  } else {

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

  }

  /* dispatch solve method */

  if (eps->leftvecs) eps->ops->solve = EPSSolve_TS_Power;

  else eps->ops->solve = EPSSolve_Power;

  PetscFunctionReturn(0);

}

#undef __FUNCT__  

#define __FUNCT__ "EPSSolve_Power"

PetscErrorCode EPSSolve_Power(EPS eps)

{

#if defined(SLEPC_MISSING_LAPACK_LAEV2)

  PetscFunctionBegin;

  SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"LAEV2 - Lapack routine is unavailable.");

#else 

  PetscErrorCode ierr;

  EPS_POWER      *power = (EPS_POWER *)eps->data;

  PetscInt       i;

  Vec            v,y,e;

  Mat            A;

  PetscReal      relerr,norm,rt1,rt2,cs1,anorm;

  PetscScalar    theta,rho,delta,sigma,alpha2,beta1,sn1;

  PetscBool      breakdown,*select = PETSC_NULL,hasnorm;

  PetscFunctionBegin;

  v = eps->V[0];

  y = eps->work[1];

  e = eps->work[0];

  /* prepare for selective orthogonalization of converged vectors */

  if (power->shift_type != EPS_POWER_SHIFT_CONSTANT && eps->nev>1) {

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

    ierr = MatHasOperation(A,MATOP_NORM,&hasnorm);CHKERRQ(ierr);

    if (hasnorm) {

      ierr = MatNorm(A,NORM_INFINITY,&anorm);CHKERRQ(ierr);

      ierr = PetscMalloc(eps->nev*sizeof(PetscBool),&select);CHKERRQ(ierr);

    }

  }

  ierr = EPSGetStartVector(eps,0,v,PETSC_NULL);CHKERRQ(ierr);

  ierr = STGetShift(eps->OP,&sigma);CHKERRQ(ierr);    /* original shift */

  rho = sigma;

  while (eps->reason == EPS_CONVERGED_ITERATING) {

    eps->its = eps->its + 1;

    /* y = OP v */

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

    /* theta = (v,y)_B */

    ierr = IPInnerProduct(eps->ip,v,y,&theta);CHKERRQ(ierr);

    if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) { /* direct & inverse iteration */

      /* approximate eigenvalue is the Rayleigh quotient */

      eps->eigr[eps->nconv] = theta;

      /* compute relative error as ||y-theta v||_2/|theta| */

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

      ierr = VecAXPY(e,-theta,v);CHKERRQ(ierr);

      ierr = VecNorm(e,NORM_2,&norm);CHKERRQ(ierr);

      relerr = norm / PetscAbsScalar(theta);

    } else {  /* RQI */

      /* delta = ||y||_B */

      ierr = IPNorm(eps->ip,y,&norm);CHKERRQ(ierr);

      delta = norm;

      /* compute relative error */

      if (rho == 0.0) relerr = PETSC_MAX_REAL;

      else relerr = 1.0 / (norm*PetscAbsScalar(rho));

      /* approximate eigenvalue is the shift */

      eps->eigr[eps->nconv] = rho;

      /* compute new shift */

      if (relerr<eps->tol) {

        rho = sigma; /* if converged, restore original shift */

        ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);

      } else {

        rho = rho + theta/(delta*delta);  /* Rayleigh quotient R(v) */

        if (power->shift_type == EPS_POWER_SHIFT_WILKINSON) {

          /* beta1 is the norm of the residual associated to R(v) */

          ierr = VecAXPY(v,-theta/(delta*delta),y);CHKERRQ(ierr);

          ierr = VecScale(v,1.0/delta);CHKERRQ(ierr);

          ierr = IPNorm(eps->ip,v,&norm);CHKERRQ(ierr);

          beta1 = norm;

          /* alpha2 = (e'*A*e)/(beta1*beta1), where e is the residual */

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

          ierr = MatMult(A,v,e);CHKERRQ(ierr);

          ierr = VecDot(v,e,&alpha2);CHKERRQ(ierr);

          alpha2 = alpha2 / (beta1 * beta1);

          /* choose the eigenvalue of [rho beta1; beta1 alpha2] closest to rho */

          ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);

          LAPACKlaev2_(&rho,&beta1,&alpha2,&rt1,&rt2,&cs1,&sn1);

          ierr = PetscFPTrapPop();CHKERRQ(ierr);

          if (PetscAbsScalar(rt1-rho) < PetscAbsScalar(rt2-rho)) rho = rt1;

          else rho = rt2;

        }

        /* update operator according to new shift */

        PetscPushErrorHandler(PetscIgnoreErrorHandler,PETSC_NULL);

        ierr = STSetShift(eps->OP,rho);

        PetscPopErrorHandler();

        if (ierr) {

          eps->eigr[eps->nconv] = rho;

          relerr = PETSC_MACHINE_EPSILON;

          rho = sigma;

          ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);

        }

      }

    }

    eps->errest[eps->nconv] = relerr;

    ierr = EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest,eps->nconv+1);CHKERRQ(ierr);

    /* purge previously converged eigenvectors */

    if (select) {

      for (i=0;i<eps->nconv;i++) {

        if(PetscAbsScalar(rho-eps->eigr[i])>eps->its*anorm/1000) select[i] = PETSC_TRUE;

        else select[i] = PETSC_FALSE;

      }

      ierr = IPOrthogonalize(eps->ip,eps->nds,eps->DS,eps->nconv,select,eps->V,y,PETSC_NULL,&norm,PETSC_NULL);CHKERRQ(ierr);

    } else {

      ierr = IPOrthogonalize(eps->ip,eps->nds,eps->DS,eps->nconv,PETSC_NULL,eps->V,y,PETSC_NULL,&norm,PETSC_NULL);CHKERRQ(ierr);

    }

    /* v = y/||y||_B */

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

    ierr = VecScale(v,1.0/norm);CHKERRQ(ierr);

    /* if relerr<tol, accept eigenpair */

    if (relerr<eps->tol) {

      eps->nconv = eps->nconv + 1;

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

      else {

        v = eps->V[eps->nconv];

        ierr = EPSGetStartVector(eps,eps->nconv,v,&breakdown);CHKERRQ(ierr);

        if (breakdown) {

          eps->reason = EPS_DIVERGED_BREAKDOWN;

          ierr = PetscInfo(eps,"Unable to generate more start vectors\n");CHKERRQ(ierr);

        }

      }

    }

    if (eps->its >= eps->max_it) eps->reason = EPS_DIVERGED_ITS;

  }

  ierr = PetscFree(select);CHKERRQ(ierr);

  PetscFunctionReturn(0);

#endif 

}

#undef __FUNCT__  

#define __FUNCT__ "EPSSolve_TS_Power"

PetscErrorCode EPSSolve_TS_Power(EPS eps)

{

#if defined(SLEPC_MISSING_LAPACK_LAEV2)

  PetscFunctionBegin;

  SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"LAEV2 - Lapack routine is unavailable.");

#else 

  PetscErrorCode ierr;

  EPS_POWER      *power = (EPS_POWER *)eps->data;

  Vec            v,w,y,z,e;

  Mat            A;

  PetscReal      relerr,norm,rt1,rt2,cs1;

  PetscScalar    theta,alpha,beta,rho,delta,sigma,alpha2,beta1,sn1;

  PetscFunctionBegin;

  v = eps->V[0];

  y = eps->work[1];

  e = eps->work[0];

  w = eps->W[0];

  z = eps->work[2];

  ierr = EPSGetStartVector(eps,0,v,PETSC_NULL);CHKERRQ(ierr);

  ierr = EPSGetStartVectorLeft(eps,0,w,PETSC_NULL);CHKERRQ(ierr);

  ierr = STGetShift(eps->OP,&sigma);CHKERRQ(ierr);    /* original shift */

  rho = sigma;

  while (eps->its<eps->max_it) {

    eps->its++;

    /* y = OP v, z = OP' w */

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

    ierr = STApplyTranspose(eps->OP,w,z);CHKERRQ(ierr);

    /* theta = (v,z)_B */

    ierr = IPInnerProduct(eps->ip,v,z,&theta);CHKERRQ(ierr);

    if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) { /* direct & inverse iteration */

      /* approximate eigenvalue is the Rayleigh quotient */

      eps->eigr[eps->nconv] = theta;

      /* compute relative errors (right and left) */

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

      ierr = VecAXPY(e,-theta,v);CHKERRQ(ierr);

      ierr = VecNorm(e,NORM_2,&norm);CHKERRQ(ierr);

      relerr = norm / PetscAbsScalar(theta);

      eps->errest[eps->nconv] = relerr;

      ierr = VecCopy(z,e);CHKERRQ(ierr);

      ierr = VecAXPY(e,-theta,w);CHKERRQ(ierr);

      ierr = VecNorm(e,NORM_2,&norm);CHKERRQ(ierr);

      relerr = norm / PetscAbsScalar(theta);

      eps->errest_left[eps->nconv] = relerr;

    } else {  /* RQI */

      /* delta = sqrt(y,z)_B */

      ierr = IPInnerProduct(eps->ip,y,z,&alpha);CHKERRQ(ierr);

      if (alpha==0.0) SETERRQ(((PetscObject)eps)->comm,1,"Breakdown in two-sided Power/RQI");

      delta = PetscSqrtScalar(alpha);

      /* compute relative error */

      if (rho == 0.0) relerr = PETSC_MAX_REAL;

      else relerr = 1.0 / (PetscAbsScalar(delta*rho));

      eps->errest[eps->nconv] = relerr;

      eps->errest_left[eps->nconv] = relerr;

      /* approximate eigenvalue is the shift */

      eps->eigr[eps->nconv] = rho;

      /* compute new shift */

      if (eps->errest[eps->nconv]<eps->tol && eps->errest_left[eps->nconv]<eps->tol) {

        rho = sigma; /* if converged, restore original shift */

        ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);

      } else {

        rho = rho + theta/(delta*delta);  /* Rayleigh quotient R(v,w) */

        if (power->shift_type == EPS_POWER_SHIFT_WILKINSON) {

          /* beta1 is the norm of the residual associated to R(v,w) */

          ierr = VecAXPY(v,-theta/(delta*delta),y);CHKERRQ(ierr);

          ierr = VecScale(v,1.0/delta);CHKERRQ(ierr);

          ierr = IPNorm(eps->ip,v,&norm);CHKERRQ(ierr);

          beta1 = norm;

          /* alpha2 = (e'*A*e)/(beta1*beta1), where e is the residual */

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

          ierr = MatMult(A,v,e);CHKERRQ(ierr);

          ierr = VecDot(v,e,&alpha2);CHKERRQ(ierr);

          alpha2 = alpha2 / (beta1 * beta1);

          /* choose the eigenvalue of [rho beta1; beta1 alpha2] closest to rho */

          ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);

          LAPACKlaev2_(&rho,&beta1,&alpha2,&rt1,&rt2,&cs1,&sn1);

          ierr = PetscFPTrapPop();CHKERRQ(ierr);

          if (PetscAbsScalar(rt1-rho) < PetscAbsScalar(rt2-rho)) rho = rt1;

          else rho = rt2;

        }

        /* update operator according to new shift */

        PetscPushErrorHandler(PetscIgnoreErrorHandler,PETSC_NULL);

        ierr = STSetShift(eps->OP,rho);

        PetscPopErrorHandler();

        if (ierr) {

          eps->eigr[eps->nconv] = rho;

          eps->errest[eps->nconv] = PETSC_MACHINE_EPSILON;

          eps->errest_left[eps->nconv] = PETSC_MACHINE_EPSILON;

          rho = sigma;

          ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);

        }

      }

    }

    ierr = EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest,eps->nconv+1);CHKERRQ(ierr);

    ierr = EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest_left,eps->nconv+1);CHKERRQ(ierr);

    /* purge previously converged eigenvectors */

    ierr = IPBiOrthogonalize(eps->ip,eps->nconv,eps->V,eps->W,z,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr);

    ierr = IPBiOrthogonalize(eps->ip,eps->nconv,eps->W,eps->V,y,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr);

    /* normalize so that (y,z)_B=1  */

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

    ierr = VecCopy(z,w);CHKERRQ(ierr);

    ierr = IPInnerProduct(eps->ip,y,z,&alpha);CHKERRQ(ierr);

    if (alpha==0.0) SETERRQ(((PetscObject)eps)->comm,1,"Breakdown in two-sided Power/RQI");

    delta = PetscSqrtScalar(PetscAbsScalar(alpha));

    beta = 1.0/PetscConj(alpha/delta);

    delta = 1.0/delta;

    ierr = VecScale(w,beta);CHKERRQ(ierr);

    ierr = VecScale(v,delta);CHKERRQ(ierr);

    /* if relerr<tol (both right and left), accept eigenpair */

    if (eps->errest[eps->nconv]<eps->tol && eps->errest_left[eps->nconv]<eps->tol) {

      eps->nconv = eps->nconv + 1;

      if (eps->nconv==eps->nev) break;

      v = eps->V[eps->nconv];

      ierr = EPSGetStartVector(eps,eps->nconv,v,PETSC_NULL);CHKERRQ(ierr);

      w = eps->W[eps->nconv];

      ierr = EPSGetStartVectorLeft(eps,eps->nconv,w,PETSC_NULL);CHKERRQ(ierr);

    }

  }

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

  else eps->reason = EPS_DIVERGED_ITS;

  PetscFunctionReturn(0);

#endif 

}

#undef __FUNCT__  

#define __FUNCT__ "EPSBackTransform_Power"

PetscErrorCode EPSBackTransform_Power(EPS eps)

{

  PetscErrorCode ierr;

  EPS_POWER      *power = (EPS_POWER *)eps->data;

  PetscFunctionBegin;

  if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) {

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

  }

  PetscFunctionReturn(0);

}

#undef __FUNCT__  

#define __FUNCT__ "EPSSetFromOptions_Power"

PetscErrorCode EPSSetFromOptions_Power(EPS eps)

{

  PetscErrorCode    ierr;

  EPS_POWER         *power = (EPS_POWER *)eps->data;

  PetscBool         flg;

  EPSPowerShiftType shift;

  PetscFunctionBegin;

  ierr = PetscOptionsHead("EPS Power Options");CHKERRQ(ierr);

  ierr = PetscOptionsEnum("-eps_power_shift_type","Shift type","EPSPowerSetShiftType",EPSPowerShiftTypes,(PetscEnum)power->shift_type,(PetscEnum*)&shift,&flg);CHKERRQ(ierr);

  if (flg) { ierr = EPSPowerSetShiftType(eps,shift);CHKERRQ(ierr); }

  if (power->shift_type != EPS_POWER_SHIFT_CONSTANT) {

    ierr = STSetType(eps->OP,STSINVERT);CHKERRQ(ierr);

  }

  ierr = PetscOptionsTail();CHKERRQ(ierr);

  PetscFunctionReturn(0);

}

EXTERN_C_BEGIN

#undef __FUNCT__  

#define __FUNCT__ "EPSPowerSetShiftType_Power"

PetscErrorCode EPSPowerSetShiftType_Power(EPS eps,EPSPowerShiftType shift)

{

  EPS_POWER *power = (EPS_POWER *)eps->data;

  PetscFunctionBegin;

  switch (shift) {

    case EPS_POWER_SHIFT_CONSTANT:

    case EPS_POWER_SHIFT_RAYLEIGH:

    case EPS_POWER_SHIFT_WILKINSON:

      power->shift_type = shift;

      break;

    default:

      SETERRQ(((PetscObject)eps)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Invalid shift type");

  }

  PetscFunctionReturn(0);

}

EXTERN_C_END

#undef __FUNCT__  

#define __FUNCT__ "EPSPowerSetShiftType"

/*@

   EPSPowerSetShiftType - Sets the type of shifts used during the power

   iteration. This can be used to emulate the Rayleigh Quotient Iteration

   (RQI) method.

   Logically Collective on EPS

   Input Parameters:

+  eps - the eigenproblem solver context

-  shift - the type of shift

   Options Database Key:

.  -eps_power_shift_type - Sets the shift type (either 'constant' or

                           'rayleigh' or 'wilkinson')

   Notes:

   By default, shifts are constant (EPS_POWER_SHIFT_CONSTANT) and the iteration

   is the simple power method (or inverse iteration if a shift-and-invert

   transformation is being used).

   A variable shift can be specified (EPS_POWER_SHIFT_RAYLEIGH or

   EPS_POWER_SHIFT_WILKINSON). In this case, the iteration behaves rather like

   a cubic converging method as RQI. See the users manual for details.

   Level: advanced

.seealso: EPSPowerGetShiftType(), STSetShift(), EPSPowerShiftType

@*/

PetscErrorCode EPSPowerSetShiftType(EPS eps,EPSPowerShiftType shift)

{

  PetscErrorCode ierr;

  PetscFunctionBegin;

  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);

  PetscValidLogicalCollectiveEnum(eps,shift,2);

  ierr = PetscTryMethod(eps,"EPSPowerSetShiftType_C",(EPS,EPSPowerShiftType),(eps,shift));CHKERRQ(ierr);

  PetscFunctionReturn(0);

}

EXTERN_C_BEGIN

#undef __FUNCT__  

#define __FUNCT__ "EPSPowerGetShiftType_Power"

PetscErrorCode EPSPowerGetShiftType_Power(EPS eps,EPSPowerShiftType *shift)

{

  EPS_POWER  *power = (EPS_POWER *)eps->data;

  PetscFunctionBegin;

  *shift = power->shift_type;

  PetscFunctionReturn(0);

}

EXTERN_C_END

#undef __FUNCT__  

#define __FUNCT__ "EPSPowerGetShiftType"

/*@C

   EPSPowerGetShiftType - Gets the type of shifts used during the power

   iteration.

   Not Collective

   Input Parameter:

.  eps - the eigenproblem solver context

   Input Parameter:

.  shift - the type of shift

   Level: advanced

.seealso: EPSPowerSetShiftType(), EPSPowerShiftType

@*/

PetscErrorCode EPSPowerGetShiftType(EPS eps,EPSPowerShiftType *shift)

{

  PetscErrorCode ierr;

  PetscFunctionBegin;

  PetscValidHeaderSpecific(eps,EPS_CLASSID,1);

  PetscValidPointer(shift,2);

  ierr = PetscTryMethod(eps,"EPSPowerGetShiftType_C",(EPS,EPSPowerShiftType*),(eps,shift));CHKERRQ(ierr);

  PetscFunctionReturn(0);

}

#undef __FUNCT__  

#define __FUNCT__ "EPSDestroy_Power"

PetscErrorCode EPSDestroy_Power(EPS eps)

{

  PetscErrorCode ierr;

  PetscFunctionBegin;

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

  ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerSetShiftType_C","",PETSC_NULL);CHKERRQ(ierr);

  ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerGetShiftType_C","",PETSC_NULL);CHKERRQ(ierr);

  PetscFunctionReturn(0);

}

#undef __FUNCT__  

#define __FUNCT__ "EPSView_Power"

PetscErrorCode EPSView_Power(EPS eps,PetscViewer viewer)

{

  PetscErrorCode ierr;

  EPS_POWER      *power = (EPS_POWER *)eps->data;

  PetscBool      isascii;

  PetscFunctionBegin;

  ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii);CHKERRQ(ierr);

  if (!isascii) {

    SETERRQ1(((PetscObject)eps)->comm,1,"Viewer type %s not supported for EPS Power",((PetscObject)viewer)->type_name);

  }  

  ierr = PetscViewerASCIIPrintf(viewer,"  Power: %s shifts\n",EPSPowerShiftTypes[power->shift_type]);CHKERRQ(ierr);

  PetscFunctionReturn(0);

}

EXTERN_C_BEGIN

#undef __FUNCT__  

#define __FUNCT__ "EPSCreate_Power"

PetscErrorCode EPSCreate_Power(EPS eps)

{

  PetscErrorCode ierr;

  PetscFunctionBegin;

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

  eps->ops->setup                = EPSSetUp_Power;

  eps->ops->setfromoptions       = EPSSetFromOptions_Power;

  eps->ops->destroy              = EPSDestroy_Power;

  eps->ops->reset                = EPSReset_Default;

  eps->ops->view                 = EPSView_Power;

  eps->ops->backtransform        = EPSBackTransform_Power;

  eps->ops->computevectors       = EPSComputeVectors_Default;

  ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerSetShiftType_C","EPSPowerSetShiftType_Power",EPSPowerSetShiftType_Power);CHKERRQ(ierr);

  ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerGetShiftType_C","EPSPowerGetShiftType_Power",EPSPowerGetShiftType_Power);CHKERRQ(ierr);

  PetscFunctionReturn(0);

}

EXTERN_C_END