Date: 2022-10-01T06:39:35+00:00

Actual source code: test5.c
slepc-3.18.0 2022-10-01
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-, 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 various ST interface functions.\n\n";

     13: #include <slepceps.h>

     15: int main (int argc,char **argv)
     16: {
     17:   ST             st;
     18:   KSP            ksp;
     19:   PC             pc;
     20:   Mat            A,mat[1],Op;
     21:   Vec            v,w;
     22:   PetscInt       N,n=4,i,j,II,Istart,Iend;
     23:   PetscScalar    d;

     26:   SlepcInitialize(&argc,&argv,(char*)0,help);
     27:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     28:   N = n*n;

     30:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     31:      Create non-symmetric matrix
     32:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     34:   MatCreate(PETSC_COMM_WORLD,&A);
     35:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);
     36:   MatSetFromOptions(A);
     37:   MatSetUp(A);

     39:   MatGetOwnershipRange(A,&Istart,&Iend);
     40:   for (II=Istart;II<Iend;II++) {
     41:     i = II/n; j = II-i*n;
     42:     d = 0.0;
     43:     if (i>0) { MatSetValue(A,II,II-n,1.0,INSERT_VALUES); d=d+1.0; }
     44:     if (i<n-1) { MatSetValue(A,II,II+n,-1.0,INSERT_VALUES); d=d+1.0; }
     45:     if (j>0) { MatSetValue(A,II,II-1,1.0,INSERT_VALUES); d=d+1.0; }
     46:     if (j<n-1) { MatSetValue(A,II,II+1,-1.0,INSERT_VALUES); d=d+1.0; }
     47:     MatSetValue(A,II,II,d,INSERT_VALUES);
     48:   }

     50:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     51:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
     52:   MatCreateVecs(A,&v,&w);
     53:   VecSetValue(v,0,-.5,INSERT_VALUES);
     54:   VecSetValue(v,1,1.5,INSERT_VALUES);
     55:   VecSetValue(v,2,2,INSERT_VALUES);
     56:   VecAssemblyBegin(v);
     57:   VecAssemblyEnd(v);
     58:   VecView(v,NULL);

     60:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     61:      Create the spectral transformation object
     62:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     63:   STCreate(PETSC_COMM_WORLD,&st);
     64:   mat[0] = A;
     65:   STSetMatrices(st,1,mat);
     66:   STSetType(st,STCAYLEY);
     67:   STSetShift(st,2.0);
     68:   STCayleySetAntishift(st,1.0);
     69:   STSetTransform(st,PETSC_TRUE);

     71:   KSPCreate(PETSC_COMM_WORLD,&ksp);
     72:   KSPSetType(ksp,KSPPREONLY);
     73:   KSPGetPC(ksp,&pc);
     74:   PCSetType(pc,PCLU);
     75:   KSPSetTolerances(ksp,100*PETSC_MACHINE_EPSILON,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT);
     76:   KSPSetFromOptions(ksp);
     77:   STSetKSP(st,ksp);
     78:   KSPDestroy(&ksp);

     80:   STSetFromOptions(st);

     82:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     83:      Apply the operator
     84:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     85:   STApply(st,v,w);
     86:   VecView(w,NULL);

     88:   STApplyTranspose(st,v,w);
     89:   VecView(w,NULL);

     91:   STMatMult(st,1,v,w);
     92:   VecView(w,NULL);

     94:   STMatMultTranspose(st,1,v,w);
     95:   VecView(w,NULL);

     97:   STMatSolve(st,v,w);
     98:   VecView(w,NULL);

    100:   STMatSolveTranspose(st,v,w);
    101:   VecView(w,NULL);

    103:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    104:      Get the operator matrix
    105:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    106:   STGetOperator(st,&Op);
    107:   MatMult(Op,v,w);
    108:   VecView(w,NULL);
    109:   MatMultTranspose(Op,v,w);
    110:   VecView(w,NULL);
    111:   STRestoreOperator(st,&Op);

    113:   STDestroy(&st);
    114:   MatDestroy(&A);
    115:   VecDestroy(&v);
    116:   VecDestroy(&w);
    117:   SlepcFinalize();
    118:   return 0;
    119: }

    121: /*TEST

    123:    testset:
    124:       output_file: output/test5_1.out
    125:       requires: !single
    126:       test:
    127:          args: -st_matmode {{copy inplace}}
    128:       test:
    129:          args: -st_matmode shell -ksp_type bcgs -pc_type jacobi

    131: TEST*/