Date: 2015-10-02T22:21:06+00:00

Actual source code: groppcg.c
petsc-3.6.2 2015-10-02
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      1: #include <petsc/private/kspimpl.h>

      3: /*
      4:  KSPSetUp_GROPPCG - Sets up the workspace needed by the GROPPCG method.

      6:  This is called once, usually automatically by KSPSolve() or KSPSetUp()
      7:  but can be called directly by KSPSetUp()
      8: */
     11: PetscErrorCode KSPSetUp_GROPPCG(KSP ksp)
     12: {

     16:   KSPSetWorkVecs(ksp,6);
     17:   return(0);
     18: }

     20: /*
     21:  KSPSolve_GROPPCG

     23:  Input Parameter:
     24:  .     ksp - the Krylov space object that was set to use conjugate gradient, by, for
     25:              example, KSPCreate(MPI_Comm,KSP *ksp); KSPSetType(ksp,KSPCG);
     26: */
     29: PetscErrorCode  KSPSolve_GROPPCG(KSP ksp)
     30: {
     32:   PetscInt       i;
     33:   PetscScalar    alpha,beta = 0.0,gamma,gammaNew,t;
     34:   PetscReal      dp = 0.0;
     35:   Vec            x,b,r,p,s,S,z,Z;
     36:   Mat            Amat,Pmat;
     37:   PetscBool      diagonalscale;

     40:   PCGetDiagonalScale(ksp->pc,&diagonalscale);
     41:   if (diagonalscale) SETERRQ1(PetscObjectComm((PetscObject)ksp),PETSC_ERR_SUP,"Krylov method %s does not support diagonal scaling",((PetscObject)ksp)->type_name);

     43:   x = ksp->vec_sol;
     44:   b = ksp->vec_rhs;
     45:   r = ksp->work[0];
     46:   p = ksp->work[1];
     47:   s = ksp->work[2];
     48:   S = ksp->work[3];
     49:   z = ksp->work[4];
     50:   Z = ksp->work[5];

     52:   PCGetOperators(ksp->pc,&Amat,&Pmat);

     54:   ksp->its = 0;
     55:   if (!ksp->guess_zero) {
     56:     KSP_MatMult(ksp,Amat,x,r);            /*     r <- b - Ax     */
     57:     VecAYPX(r,-1.0,b);
     58:   } else {
     59:     VecCopy(b,r);                         /*     r <- b (x is 0) */
     60:   }

     62:   KSP_PCApply(ksp,r,z);                   /*     z <- Br   */
     63:   VecCopy(z,p);                           /*     p <- z    */
     64:   VecDotBegin(r,z,&gamma);                  /*     gamma <- z'*r       */
     65:   PetscCommSplitReductionBegin(PetscObjectComm((PetscObject)r));
     66:   KSP_MatMult(ksp,Amat,p,s);              /*     s <- Ap   */
     67:   VecDotEnd(r,z,&gamma);                  /*     gamma <- z'*r       */

     69:   switch (ksp->normtype) {
     70:   case KSP_NORM_PRECONDITIONED:
     71:     /* This could be merged with the computation of gamma above */
     72:     VecNorm(z,NORM_2,&dp);                /*     dp <- z'*z = e'*A'*B'*B*A'*e'     */
     73:     break;
     74:   case KSP_NORM_UNPRECONDITIONED:
     75:     /* This could be merged with the computation of gamma above */
     76:     VecNorm(r,NORM_2,&dp);                /*     dp <- r'*r = e'*A'*A*e            */
     77:     break;
     78:   case KSP_NORM_NATURAL:
     79:     KSPCheckDot(ksp,gamma);
     80:     dp = PetscSqrtReal(PetscAbsScalar(gamma));                  /*     dp <- r'*z = r'*B*r = e'*A'*B*A*e */
     81:     break;
     82:   case KSP_NORM_NONE:
     83:     dp = 0.0;
     84:     break;
     85:   default: SETERRQ1(PetscObjectComm((PetscObject)ksp),PETSC_ERR_SUP,"%s",KSPNormTypes[ksp->normtype]);
     86:   }
     87:   KSPLogResidualHistory(ksp,dp);
     88:   KSPMonitor(ksp,0,dp);
     89:   ksp->rnorm = dp;
     90:   (*ksp->converged)(ksp,0,dp,&ksp->reason,ksp->cnvP); /* test for convergence */
     91:   if (ksp->reason) return(0);

     93:   i = 0;
     94:   do {
     95:     ksp->its = i+1;
     96:     i++;

     98:     VecDotBegin(p,s,&t);
     99:     PetscCommSplitReductionBegin(PetscObjectComm((PetscObject)p));

    101:     KSP_PCApply(ksp,s,S);         /*   S <- Bs       */

    103:     VecDotEnd(p,s,&t);

    105:     alpha = gamma / t;
    106:     VecAXPY(x, alpha,p);   /*     x <- x + alpha * p   */
    107:     VecAXPY(r,-alpha,s);   /*     r <- r - alpha * s   */
    108:     VecAXPY(z,-alpha,S);   /*     z <- z - alpha * S   */

    110:     if (ksp->normtype == KSP_NORM_UNPRECONDITIONED) {
    111:       VecNormBegin(r,NORM_2,&dp);
    112:     } else if (ksp->normtype == KSP_NORM_PRECONDITIONED) {
    113:       VecNormBegin(z,NORM_2,&dp);
    114:     }
    115:     VecDotBegin(r,z,&gammaNew);
    116:     PetscCommSplitReductionBegin(PetscObjectComm((PetscObject)r));

    118:     KSP_MatMult(ksp,Amat,z,Z);      /*   Z <- Az       */

    120:     if (ksp->normtype == KSP_NORM_UNPRECONDITIONED) {
    121:       VecNormEnd(r,NORM_2,&dp);
    122:     } else if (ksp->normtype == KSP_NORM_PRECONDITIONED) {
    123:       VecNormEnd(z,NORM_2,&dp);
    124:     }
    125:     VecDotEnd(r,z,&gammaNew);

    127:     if (ksp->normtype == KSP_NORM_NATURAL) {
    128:       KSPCheckDot(ksp,gammaNew);
    129:       dp = PetscSqrtReal(PetscAbsScalar(gammaNew));                  /*     dp <- r'*z = r'*B*r = e'*A'*B*A*e */
    130:     } else if (ksp->normtype == KSP_NORM_NONE) {
    131:       dp = 0.0;
    132:     }
    133:     ksp->rnorm = dp;
    134:     KSPLogResidualHistory(ksp,dp);
    135:     KSPMonitor(ksp,i,dp);
    136:     (*ksp->converged)(ksp,i,dp,&ksp->reason,ksp->cnvP);
    137:     if (ksp->reason) break;

    139:     beta  = gammaNew / gamma;
    140:     gamma = gammaNew;
    141:     VecAYPX(p,beta,z);   /*     p <- z + beta * p   */
    142:     VecAYPX(s,beta,Z);   /*     s <- Z + beta * s   */

    144:   } while (i<ksp->max_it);

    146:   if (i >= ksp->max_it) ksp->reason = KSP_DIVERGED_ITS;
    147:   return(0);
    148: }

    150: /*MC
    151:    KSPGROPPCG - A pipelined conjugate gradient method from Bill Gropp

    153:    This method has two reductions, one of which is overlapped with the matrix-vector product and one of which is
    154:    overlapped with the preconditioner.

    156:    See also KSPPIPECG, which has only a single reduction that overlaps both the matrix-vector product and the preconditioner.

    158:    Level: intermediate

    160:    Notes:
    161:    MPI configuration may be necessary for reductions to make asynchronous progress, which is important for performance of pipelined methods.
    162:    See the FAQ on the PETSc website for details.

    164:    Contributed by:
    165:    Pieter Ghysels, Universiteit Antwerpen, Intel Exascience lab Flanders

    167:    Reference:
    168:    http://www.cs.uiuc.edu/~wgropp/bib/talks/tdata/2012/icerm.pdf

    170: .seealso: KSPCreate(), KSPSetType(), KSPPIPECG, KSPPIPECR, KSPPGMRES, KSPCG, KSPCGUseSingleReduction()
    171: M*/

    175: PETSC_EXTERN PetscErrorCode KSPCreate_GROPPCG(KSP ksp)
    176: {

    180:   KSPSetSupportedNorm(ksp,KSP_NORM_UNPRECONDITIONED,PC_LEFT,2);
    181:   KSPSetSupportedNorm(ksp,KSP_NORM_PRECONDITIONED,PC_LEFT,2);
    182:   KSPSetSupportedNorm(ksp,KSP_NORM_NATURAL,PC_LEFT,2);
    183:   KSPSetSupportedNorm(ksp,KSP_NORM_NONE,PC_LEFT,2);

    185:   ksp->ops->setup          = KSPSetUp_GROPPCG;
    186:   ksp->ops->solve          = KSPSolve_GROPPCG;
    187:   ksp->ops->destroy        = KSPDestroyDefault;
    188:   ksp->ops->view           = 0;
    189:   ksp->ops->setfromoptions = 0;
    190:   ksp->ops->buildsolution  = KSPBuildSolutionDefault;
    191:   ksp->ops->buildresidual  = KSPBuildResidualDefault;
    192:   return(0);
    193: }