Date: 2021-02-01T14:41:51+00:00

Actual source code: test1.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: */

     11: static char help[] = "Test ST with shell matrices.\n\n";

     13: #include <slepcst.h>

     15: static PetscErrorCode MatGetDiagonal_Shell(Mat S,Vec diag);
     16: static PetscErrorCode MatMultTranspose_Shell(Mat S,Vec x,Vec y);
     17: static PetscErrorCode MatMult_Shell(Mat S,Vec x,Vec y);
     18: static PetscErrorCode MatDuplicate_Shell(Mat S,MatDuplicateOption op,Mat *M);

     20: static PetscErrorCode MyShellMatCreate(Mat *A,Mat *M)
     21: {
     23:   MPI_Comm       comm;
     24:   PetscInt       n;

     27:   MatGetSize(*A,&n,NULL);
     28:   PetscObjectGetComm((PetscObject)*A,&comm);
     29:   MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,n,n,A,M);
     30:   MatShellSetOperation(*M,MATOP_MULT,(void(*)(void))MatMult_Shell);
     31:   MatShellSetOperation(*M,MATOP_MULT_TRANSPOSE,(void(*)(void))MatMultTranspose_Shell);
     32:   MatShellSetOperation(*M,MATOP_GET_DIAGONAL,(void(*)(void))MatGetDiagonal_Shell);
     33:   MatShellSetOperation(*M,MATOP_DUPLICATE,(void(*)(void))MatDuplicate_Shell);
     34:   return(0);
     35: }

     37: int main(int argc,char **argv)
     38: {
     39:   Mat            A,S,mat[1];
     40:   ST             st;
     41:   Vec            v,w;
     42:   STType         type;
     43:   KSP            ksp;
     44:   PC             pc;
     45:   PetscScalar    sigma;
     46:   PetscInt       n=10,i,Istart,Iend;

     49:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
     50:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     51:   PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian with shell matrices, n=%D\n\n",n);

     53:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     54:      Compute the operator matrix for the 1-D Laplacian
     55:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     57:   MatCreate(PETSC_COMM_WORLD,&A);
     58:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n);
     59:   MatSetFromOptions(A);
     60:   MatSetUp(A);

     62:   MatGetOwnershipRange(A,&Istart,&Iend);
     63:   for (i=Istart;i<Iend;i++) {
     64:     if (i>0) { MatSetValue(A,i,i-1,-1.0,INSERT_VALUES); }
     65:     if (i<n-1) { MatSetValue(A,i,i+1,-1.0,INSERT_VALUES); }
     66:     MatSetValue(A,i,i,2.0,INSERT_VALUES);
     67:   }
     68:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     69:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);

     71:   /* create the shell version of A */
     72:   MyShellMatCreate(&A,&S);

     74:   /* work vectors */
     75:   MatCreateVecs(A,&v,&w);
     76:   VecSet(v,1.0);

     78:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     79:                 Create the spectral transformation object
     80:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     82:   STCreate(PETSC_COMM_WORLD,&st);
     83:   mat[0] = S;
     84:   STSetMatrices(st,1,mat);
     85:   STSetTransform(st,PETSC_TRUE);
     86:   STSetFromOptions(st);

     89:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     90:               Apply the transformed operator for several ST's
     91:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     93:   /* shift, sigma=0.0 */
     94:   STSetUp(st);
     95:   STGetType(st,&type);
     96:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
     97:   STApply(st,v,w);
     98:   VecView(w,NULL);
     99:   STApplyTranspose(st,v,w);
    100:   VecView(w,NULL);

    102:   /* shift, sigma=0.1 */
    103:   sigma = 0.1;
    104:   STSetShift(st,sigma);
    105:   STGetShift(st,&sigma);
    106:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    107:   STApply(st,v,w);
    108:   VecView(w,NULL);

    110:   /* sinvert, sigma=0.1 */
    111:   STPostSolve(st);   /* undo changes if inplace */
    112:   STSetType(st,STSINVERT);
    113:   STGetKSP(st,&ksp);
    114:   KSPSetType(ksp,KSPGMRES);
    115:   KSPGetPC(ksp,&pc);
    116:   PCSetType(pc,PCJACOBI);
    117:   STGetType(st,&type);
    118:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
    119:   STGetShift(st,&sigma);
    120:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    121:   STApply(st,v,w);
    122:   VecView(w,NULL);

    124:   /* sinvert, sigma=-0.5 */
    125:   sigma = -0.5;
    126:   STSetShift(st,sigma);
    127:   STGetShift(st,&sigma);
    128:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    129:   STApply(st,v,w);
    130:   VecView(w,NULL);

    132:   STDestroy(&st);
    133:   MatDestroy(&A);
    134:   MatDestroy(&S);
    135:   VecDestroy(&v);
    136:   VecDestroy(&w);
    137:   SlepcFinalize();
    138:   return ierr;
    139: }

    141: static PetscErrorCode MatMult_Shell(Mat S,Vec x,Vec y)
    142: {
    143:   PetscErrorCode    ierr;
    144:   Mat               *A;

    147:   MatShellGetContext(S,&A);
    148:   MatMult(*A,x,y);
    149:   return(0);
    150: }

    152: static PetscErrorCode MatMultTranspose_Shell(Mat S,Vec x,Vec y)
    153: {
    154:   PetscErrorCode    ierr;
    155:   Mat               *A;

    158:   MatShellGetContext(S,&A);
    159:   MatMultTranspose(*A,x,y);
    160:   return(0);
    161: }

    163: static PetscErrorCode MatGetDiagonal_Shell(Mat S,Vec diag)
    164: {
    165:   PetscErrorCode    ierr;
    166:   Mat               *A;

    169:   MatShellGetContext(S,&A);
    170:   MatGetDiagonal(*A,diag);
    171:   return(0);
    172: }

    174: static PetscErrorCode MatDuplicate_Shell(Mat S,MatDuplicateOption op,Mat *M)
    175: {
    177:   Mat            *A;

    180:   MatShellGetContext(S,&A);
    181:   MyShellMatCreate(A,M);
    182:   return(0);
    183: }

    185: /*TEST

    187:    test:
    188:       suffix: 1
    189:       args: -st_matmode {{inplace shell}}
    190:       output_file: output/test1_1.out
    191:       requires: !single

    193: TEST*/