Date: 2021-02-01T14:41:50+00:00

Actual source code: stshellmat.c
slepc-3.14.2 2021-02-01
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2020, 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: */
     10: /*
     11:    Subroutines that implement various operations of the matrix associated with
     12:    the shift-and-invert technique for eigenvalue problems
     13: */

     15: #include <slepc/private/stimpl.h>

     17: typedef struct {
     18:   PetscScalar alpha;
     19:   PetscScalar *coeffs;
     20:   ST          st;
     21:   Vec         z;
     22:   PetscInt    nmat;
     23:   PetscInt    *matIdx;
     24: } ST_MATSHELL;

     26: PetscErrorCode STMatShellShift(Mat A,PetscScalar alpha)
     27: {
     29:   ST_MATSHELL    *ctx;

     32:   MatShellGetContext(A,(void**)&ctx);
     33:   ctx->alpha = alpha;
     34:   PetscObjectStateIncrease((PetscObject)A);
     35:   return(0);
     36: }

     38: /*
     39:   For i=0:nmat-1 computes y = (sum_i (coeffs[i]*alpha^i*st->A[idx[i]]))x
     40:   If null coeffs computes with coeffs[i]=1.0
     41: */
     42: static PetscErrorCode MatMult_Shell(Mat A,Vec x,Vec y)
     43: {
     45:   ST_MATSHELL    *ctx;
     46:   ST             st;
     47:   PetscInt       i;
     48:   PetscScalar    t=1.0,c;

     51:   MatShellGetContext(A,(void**)&ctx);
     52:   st = ctx->st;
     53:   MatMult(st->A[ctx->matIdx[0]],x,y);
     54:   if (ctx->coeffs && ctx->coeffs[0]!=1.0) {
     55:     VecScale(y,ctx->coeffs[0]);
     56:   }
     57:   if (ctx->alpha!=0.0) {
     58:     for (i=1;i<ctx->nmat;i++) {
     59:       MatMult(st->A[ctx->matIdx[i]],x,ctx->z);
     60:       t *= ctx->alpha;
     61:       c = (ctx->coeffs)?t*ctx->coeffs[i]:t;
     62:       VecAXPY(y,c,ctx->z);
     63:     }
     64:     if (ctx->nmat==1) {    /* y = (A + alpha*I) x */
     65:       VecAXPY(y,ctx->alpha,x);
     66:     }
     67:   }
     68:   return(0);
     69: }

     71: static PetscErrorCode MatMultTranspose_Shell(Mat A,Vec x,Vec y)
     72: {
     74:   ST_MATSHELL    *ctx;
     75:   ST             st;
     76:   PetscInt       i;
     77:   PetscScalar    t=1.0,c;

     80:   MatShellGetContext(A,(void**)&ctx);
     81:   st = ctx->st;
     82:   MatMultTranspose(st->A[ctx->matIdx[0]],x,y);
     83:   if (ctx->coeffs && ctx->coeffs[0]!=1.0) {
     84:     VecScale(y,ctx->coeffs[0]);
     85:   }
     86:   if (ctx->alpha!=0.0) {
     87:     for (i=1;i<ctx->nmat;i++) {
     88:       MatMultTranspose(st->A[ctx->matIdx[i]],x,ctx->z);
     89:       t *= ctx->alpha;
     90:       c = (ctx->coeffs)?t*ctx->coeffs[i]:t;
     91:       VecAXPY(y,c,ctx->z);
     92:     }
     93:     if (ctx->nmat==1) {    /* y = (A + alpha*I) x */
     94:       VecAXPY(y,ctx->alpha,x);
     95:     }
     96:   }
     97:   return(0);
     98: }

    100: static PetscErrorCode MatGetDiagonal_Shell(Mat A,Vec diag)
    101: {
    103:   ST_MATSHELL    *ctx;
    104:   ST             st;
    105:   Vec            diagb;
    106:   PetscInt       i;
    107:   PetscScalar    t=1.0,c;

    110:   MatShellGetContext(A,(void**)&ctx);
    111:   st = ctx->st;
    112:   MatGetDiagonal(st->A[ctx->matIdx[0]],diag);
    113:   if (ctx->coeffs && ctx->coeffs[0]!=1.0) {
    114:     VecScale(diag,ctx->coeffs[0]);
    115:   }
    116:   if (ctx->alpha!=0.0) {
    117:     if (ctx->nmat==1) {    /* y = (A + alpha*I) x */
    118:       VecShift(diag,ctx->alpha);
    119:     } else {
    120:       VecDuplicate(diag,&diagb);
    121:       for (i=1;i<ctx->nmat;i++) {
    122:         MatGetDiagonal(st->A[ctx->matIdx[i]],diagb);
    123:         t *= ctx->alpha;
    124:         c = (ctx->coeffs)?t*ctx->coeffs[i]:t;
    125:         VecAYPX(diag,c,diagb);
    126:       }
    127:       VecDestroy(&diagb);
    128:     }
    129:   }
    130:   return(0);
    131: }

    133: static PetscErrorCode MatDestroy_Shell(Mat A)
    134: {
    136:   ST_MATSHELL    *ctx;

    139:   MatShellGetContext(A,(void**)&ctx);
    140:   VecDestroy(&ctx->z);
    141:   PetscFree(ctx->matIdx);
    142:   PetscFree(ctx->coeffs);
    143:   PetscFree(ctx);
    144:   return(0);
    145: }

    147: PetscErrorCode STMatShellCreate(ST st,PetscScalar alpha,PetscInt nmat,PetscInt *matIdx,PetscScalar *coeffs,Mat *mat)
    148: {
    150:   PetscInt       n,m,N,M,i;
    151:   PetscBool      has=PETSC_FALSE,hasA,hasB;
    152:   ST_MATSHELL    *ctx;

    155:   MatGetSize(st->A[0],&M,&N);
    156:   MatGetLocalSize(st->A[0],&m,&n);
    157:   PetscNew(&ctx);
    158:   ctx->st = st;
    159:   ctx->alpha = alpha;
    160:   ctx->nmat = matIdx?nmat:st->nmat;
    161:   PetscMalloc1(ctx->nmat,&ctx->matIdx);
    162:   if (matIdx) {
    163:     for (i=0;i<ctx->nmat;i++) ctx->matIdx[i] = matIdx[i];
    164:   } else {
    165:     ctx->matIdx[0] = 0;
    166:     if (ctx->nmat>1) ctx->matIdx[1] = 1;
    167:   }
    168:   if (coeffs) {
    169:     PetscMalloc1(ctx->nmat,&ctx->coeffs);
    170:     for (i=0;i<ctx->nmat;i++) ctx->coeffs[i] = coeffs[i];
    171:   }
    172:   MatCreateVecs(st->A[0],&ctx->z,NULL);
    173:   MatCreateShell(PetscObjectComm((PetscObject)st),m,n,M,N,(void*)ctx,mat);
    174:   MatShellSetOperation(*mat,MATOP_MULT,(void(*)(void))MatMult_Shell);
    175:   MatShellSetOperation(*mat,MATOP_MULT_TRANSPOSE,(void(*)(void))MatMultTranspose_Shell);
    176:   MatShellSetOperation(*mat,MATOP_DESTROY,(void(*)(void))MatDestroy_Shell);

    178:   MatHasOperation(st->A[ctx->matIdx[0]],MATOP_GET_DIAGONAL,&hasA);
    179:   if (st->nmat>1) {
    180:     has = hasA;
    181:     for (i=1;i<ctx->nmat;i++) {
    182:       MatHasOperation(st->A[ctx->matIdx[i]],MATOP_GET_DIAGONAL,&hasB);
    183:       has = (has && hasB)? PETSC_TRUE: PETSC_FALSE;
    184:     }
    185:   }
    186:   if ((hasA && st->nmat==1) || has) {
    187:     MatShellSetOperation(*mat,MATOP_GET_DIAGONAL,(void(*)(void))MatGetDiagonal_Shell);
    188:   }
    189:   return(0);
    190: }