Date: 2021-02-01T14:41:52+00:00

Actual source code: test4.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 four matrices.\n\n";

     13: #include <slepcst.h>

     15: int main(int argc,char **argv)
     16: {
     17:   Mat            A,B,C,D,mat[4];
     18:   ST             st;
     19:   KSP            ksp;
     20:   Vec            v,w;
     21:   STType         type;
     22:   PetscScalar    sigma;
     23:   PetscInt       n=10,i,Istart,Iend;

     26:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
     27:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     28:   PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian plus diagonal, 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:   MatCreate(PETSC_COMM_WORLD,&B);
     39:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
     40:   MatSetFromOptions(B);
     41:   MatSetUp(B);

     43:   MatCreate(PETSC_COMM_WORLD,&C);
     44:   MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,n,n);
     45:   MatSetFromOptions(C);
     46:   MatSetUp(C);

     48:   MatCreate(PETSC_COMM_WORLD,&D);
     49:   MatSetSizes(D,PETSC_DECIDE,PETSC_DECIDE,n,n);
     50:   MatSetFromOptions(D);
     51:   MatSetUp(D);

     53:   MatGetOwnershipRange(A,&Istart,&Iend);
     54:   for (i=Istart;i<Iend;i++) {
     55:     MatSetValue(A,i,i,2.0,INSERT_VALUES);
     56:     if (i>0) {
     57:       MatSetValue(A,i,i-1,-1.0,INSERT_VALUES);
     58:       MatSetValue(B,i,i,(PetscScalar)i,INSERT_VALUES);
     59:     } else {
     60:       MatSetValue(B,i,i,-1.0,INSERT_VALUES);
     61:     }
     62:     if (i<n-1) {
     63:       MatSetValue(A,i,i+1,-1.0,INSERT_VALUES);
     64:     }
     65:     MatSetValue(C,i,n-i-1,1.0,INSERT_VALUES);
     66:     MatSetValue(D,i,i,i*.1,INSERT_VALUES);
     67:     if (i==0) {
     68:       MatSetValue(D,0,n-1,1.0,INSERT_VALUES);
     69:     }
     70:     if (i==n-1) {
     71:       MatSetValue(D,n-1,0,1.0,INSERT_VALUES);
     72:     }
     73:   }

     75:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     76:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
     77:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
     78:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
     79:   MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
     80:   MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);
     81:   MatAssemblyBegin(D,MAT_FINAL_ASSEMBLY);
     82:   MatAssemblyEnd(D,MAT_FINAL_ASSEMBLY);
     83:   MatCreateVecs(A,&v,&w);
     84:   VecSet(v,1.0);

     86:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     87:                 Create the spectral transformation object
     88:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
     89:   STCreate(PETSC_COMM_WORLD,&st);
     90:   mat[0] = A;
     91:   mat[1] = B;
     92:   mat[2] = C;
     93:   mat[3] = D;
     94:   STSetMatrices(st,4,mat);
     95:   STGetKSP(st,&ksp);
     96:   KSPSetTolerances(ksp,100*PETSC_MACHINE_EPSILON,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT);
     97:   STSetFromOptions(st);
     98:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     99:               Apply the transformed operator for several ST's
    100:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    101:   /* shift, sigma=0.0 */
    102:   STSetUp(st);
    103:   STGetType(st,&type);
    104:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
    105:   for (i=0;i<4;i++) {
    106:     STMatMult(st,i,v,w);
    107:     PetscPrintf(PETSC_COMM_WORLD,"k= %D\n",i);
    108:     VecView(w,NULL);
    109:   }
    110:   STMatSolve(st,v,w);
    111:   PetscPrintf(PETSC_COMM_WORLD,"solve\n");
    112:   VecView(w,NULL);

    114:   /* shift, sigma=0.1 */
    115:   sigma = 0.1;
    116:   STSetShift(st,sigma);
    117:   STGetShift(st,&sigma);
    118:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    119:   for (i=0;i<4;i++) {
    120:     STMatMult(st,i,v,w);
    121:     PetscPrintf(PETSC_COMM_WORLD,"k= %D\n",i);
    122:     VecView(w,NULL);
    123:   }
    124:   STMatSolve(st,v,w);
    125:   PetscPrintf(PETSC_COMM_WORLD,"solve\n");
    126:   VecView(w,NULL);

    128:   /* sinvert, sigma=0.1 */
    129:   STPostSolve(st);
    130:   STSetType(st,STSINVERT);
    131:   STGetType(st,&type);
    132:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
    133:   STGetShift(st,&sigma);
    134:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    135:   for (i=0;i<4;i++) {
    136:     STMatMult(st,i,v,w);
    137:     PetscPrintf(PETSC_COMM_WORLD,"k= %D\n",i);
    138:     VecView(w,NULL);
    139:   }
    140:   STMatSolve(st,v,w);
    141:   PetscPrintf(PETSC_COMM_WORLD,"solve\n");
    142:   VecView(w,NULL);

    144:   /* sinvert, sigma=-0.5 */
    145:   sigma = -0.5;
    146:   STSetShift(st,sigma);
    147:   STGetShift(st,&sigma);
    148:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    149:   for (i=0;i<4;i++) {
    150:     STMatMult(st,i,v,w);
    151:     PetscPrintf(PETSC_COMM_WORLD,"k= %D\n",i);
    152:     VecView(w,NULL);
    153:   }
    154:   STMatSolve(st,v,w);
    155:   PetscPrintf(PETSC_COMM_WORLD,"solve\n");
    156:   VecView(w,NULL);
    157:   STDestroy(&st);
    158:   MatDestroy(&A);
    159:   MatDestroy(&B);
    160:   MatDestroy(&C);
    161:   MatDestroy(&D);
    162:   VecDestroy(&v);
    163:   VecDestroy(&w);
    164:   SlepcFinalize();
    165:   return ierr;
    166: }

    168: /*TEST

    170:    test:
    171:       suffix: 1
    172:       args: -st_transform -st_matmode {{copy shell}}
    173:       output_file: output/test4_1.out
    174:       requires: !single

    176:    test:
    177:       suffix: 2
    178:       args: -st_matmode {{copy shell}}
    179:       output_file: output/test4_2.out

    181: TEST*/