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

Actual source code: test2.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 one matrix.\n\n";

     13: #include <slepcst.h>

     15: int main(int argc,char **argv)
     16: {
     17:   Mat            A,B,mat[1];
     18:   ST             st;
     19:   Vec            v,w;
     20:   STType         type;
     21:   PetscScalar    sigma,tau;
     22:   PetscInt       n=10,i,Istart,Iend;

     25:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
     26:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     27:   PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian, n=%D\n\n",n);

     29:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     30:      Compute the operator matrix for the 1-D Laplacian
     31:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

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

     38:   MatGetOwnershipRange(A,&Istart,&Iend);
     39:   for (i=Istart;i<Iend;i++) {
     40:     if (i>0) { MatSetValue(A,i,i-1,-1.0,INSERT_VALUES); }
     41:     if (i<n-1) { MatSetValue(A,i,i+1,-1.0,INSERT_VALUES); }
     42:     MatSetValue(A,i,i,2.0,INSERT_VALUES);
     43:   }
     44:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     45:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
     46:   MatCreateVecs(A,&v,&w);
     47:   VecSet(v,1.0);

     49:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     50:                 Create the spectral transformation object
     51:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     53:   STCreate(PETSC_COMM_WORLD,&st);
     54:   mat[0] = A;
     55:   STSetMatrices(st,1,mat);
     56:   STSetTransform(st,PETSC_TRUE);
     57:   STSetFromOptions(st);

     59:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     60:               Apply the transformed operator for several ST's
     61:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     63:   /* shift, sigma=0.0 */
     64:   STSetUp(st);
     65:   STGetType(st,&type);
     66:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
     67:   STApply(st,v,w);
     68:   VecView(w,NULL);

     70:   /* shift, sigma=0.1 */
     71:   sigma = 0.1;
     72:   STSetShift(st,sigma);
     73:   STGetShift(st,&sigma);
     74:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
     75:   STApply(st,v,w);
     76:   VecView(w,NULL);
     77:   STApplyTranspose(st,v,w);
     78:   VecView(w,NULL);

     80:   /* sinvert, sigma=0.1 */
     81:   STPostSolve(st);   /* undo changes if inplace */
     82:   STSetType(st,STSINVERT);
     83:   STGetType(st,&type);
     84:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
     85:   STGetShift(st,&sigma);
     86:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
     87:   STApply(st,v,w);
     88:   VecView(w,NULL);

     90:   /* sinvert, sigma=-0.5 */
     91:   sigma = -0.5;
     92:   STSetShift(st,sigma);
     93:   STGetShift(st,&sigma);
     94:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
     95:   STApply(st,v,w);
     96:   VecView(w,NULL);

     98:   /* cayley, sigma=-0.5, tau=-0.5 (equal to sigma by default) */
     99:   STPostSolve(st);   /* undo changes if inplace */
    100:   STSetType(st,STCAYLEY);
    101:   STSetUp(st);
    102:   STGetType(st,&type);
    103:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
    104:   STGetShift(st,&sigma);
    105:   STCayleyGetAntishift(st,&tau);
    106:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau));
    107:   STApply(st,v,w);
    108:   VecView(w,NULL);

    110:   /* cayley, sigma=1.1, tau=1.1 (still equal to sigma) */
    111:   sigma = 1.1;
    112:   STSetShift(st,sigma);
    113:   STGetShift(st,&sigma);
    114:   STCayleyGetAntishift(st,&tau);
    115:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau));
    116:   STApply(st,v,w);
    117:   VecView(w,NULL);

    119:   /* cayley, sigma=1.1, tau=-1.0 */
    120:   tau = -1.0;
    121:   STCayleySetAntishift(st,tau);
    122:   STGetShift(st,&sigma);
    123:   STCayleyGetAntishift(st,&tau);
    124:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau));
    125:   STApply(st,v,w);
    126:   VecView(w,NULL);

    128:   /* check inner product matrix in Cayley */
    129:   STGetBilinearForm(st,&B);
    130:   MatMult(B,v,w);
    131:   VecView(w,NULL);

    133:   /* check again sinvert, sigma=0.1 */
    134:   STPostSolve(st);   /* undo changes if inplace */
    135:   STSetType(st,STSINVERT);
    136:   STGetType(st,&type);
    137:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
    138:   sigma = 0.1;
    139:   STSetShift(st,sigma);
    140:   STGetShift(st,&sigma);
    141:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    142:   STApply(st,v,w);
    143:   VecView(w,NULL);

    145:   STDestroy(&st);
    146:   MatDestroy(&A);
    147:   MatDestroy(&B);
    148:   VecDestroy(&v);
    149:   VecDestroy(&w);
    150:   SlepcFinalize();
    151:   return ierr;
    152: }

    154: /*TEST

    156:    test:
    157:       suffix: 1
    158:       args: -st_matmode {{copy inplace shell}}
    159:       output_file: output/test2_1.out
    160:       requires: !single

    162: TEST*/