Date: 2022-08-09T09:05:29+00:00

Actual source code: test4.c
slepc-3.17.2 2022-08-09
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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 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;

     25:   SlepcInitialize(&argc,&argv,(char*)0,help);
     26:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
     27:   PetscPrintf(PETSC_COMM_WORLD,"\nTest ST with four matrices, n=%" PetscInt_FMT "\n\n",n);
     28:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     29:      Compute the operator matrices
     30:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

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

     37:   MatCreate(PETSC_COMM_WORLD,&B);
     38:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
     39:   MatSetFromOptions(B);
     40:   MatSetUp(B);

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

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

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

     66:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     67:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
     68:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
     69:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
     70:   MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
     71:   MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);
     72:   MatAssemblyBegin(D,MAT_FINAL_ASSEMBLY);
     73:   MatAssemblyEnd(D,MAT_FINAL_ASSEMBLY);
     74:   MatCreateVecs(A,&v,&w);
     75:   VecSet(v,1.0);

     77:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     78:                 Create the spectral transformation object
     79:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     81:   STCreate(PETSC_COMM_WORLD,&st);
     82:   mat[0] = A;
     83:   mat[1] = B;
     84:   mat[2] = C;
     85:   mat[3] = D;
     86:   STSetMatrices(st,4,mat);
     87:   STGetKSP(st,&ksp);
     88:   KSPSetTolerances(ksp,100*PETSC_MACHINE_EPSILON,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT);
     89:   STSetFromOptions(st);

     91:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     92:               Apply the transformed operator for several ST's
     93:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     95:   /* shift, sigma=0.0 */
     96:   STSetUp(st);
     97:   STGetType(st,&type);
     98:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
     99:   for (i=0;i<4;i++) {
    100:     STMatMult(st,i,v,w);
    101:     PetscPrintf(PETSC_COMM_WORLD,"k= %" PetscInt_FMT "\n",i);
    102:     VecView(w,NULL);
    103:   }
    104:   STMatSolve(st,v,w);
    105:   PetscPrintf(PETSC_COMM_WORLD,"solve\n");
    106:   VecView(w,NULL);

    108:   /* shift, sigma=0.1 */
    109:   sigma = 0.1;
    110:   STSetShift(st,sigma);
    111:   STGetShift(st,&sigma);
    112:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    113:   for (i=0;i<4;i++) {
    114:     STMatMult(st,i,v,w);
    115:     PetscPrintf(PETSC_COMM_WORLD,"k= %" PetscInt_FMT "\n",i);
    116:     VecView(w,NULL);
    117:   }
    118:   STMatSolve(st,v,w);
    119:   PetscPrintf(PETSC_COMM_WORLD,"solve\n");
    120:   VecView(w,NULL);

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

    138:   /* sinvert, sigma=-0.5 */
    139:   sigma = -0.5;
    140:   STSetShift(st,sigma);
    141:   STGetShift(st,&sigma);
    142:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    143:   for (i=0;i<4;i++) {
    144:     STMatMult(st,i,v,w);
    145:     PetscPrintf(PETSC_COMM_WORLD,"k= %" PetscInt_FMT "\n",i);
    146:     VecView(w,NULL);
    147:   }
    148:   STMatSolve(st,v,w);
    149:   PetscPrintf(PETSC_COMM_WORLD,"solve\n");
    150:   VecView(w,NULL);

    152:   STDestroy(&st);
    153:   MatDestroy(&A);
    154:   MatDestroy(&B);
    155:   MatDestroy(&C);
    156:   MatDestroy(&D);
    157:   VecDestroy(&v);
    158:   VecDestroy(&w);
    159:   SlepcFinalize();
    160:   return 0;
    161: }

    163: /*TEST

    165:    test:
    166:       suffix: 1
    167:       args: -st_transform -st_matmode {{copy shell}}
    168:       output_file: output/test4_1.out
    169:       requires: !single

    171:    test:
    172:       suffix: 2
    173:       args: -st_matmode {{copy shell}}
    174:       output_file: output/test4_2.out

    176: TEST*/