Date: 2023-11-27T17:19:52+00:00

Actual source code: test4.c
slepc-3.20.1 2023-11-27
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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:   PetscFunctionBeginUser;
     26:   PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
     27:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
     28:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nTest ST with four matrices, n=%" PetscInt_FMT "\n\n",n));
     29:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     30:      Compute the operator matrices
     31:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

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

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

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

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

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

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

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

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

     92:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     93:               Apply the transformed operator for several ST's
     94:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

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

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

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

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

    153:   PetscCall(STDestroy(&st));
    154:   PetscCall(MatDestroy(&A));
    155:   PetscCall(MatDestroy(&B));
    156:   PetscCall(MatDestroy(&C));
    157:   PetscCall(MatDestroy(&D));
    158:   PetscCall(VecDestroy(&v));
    159:   PetscCall(VecDestroy(&w));
    160:   PetscCall(SlepcFinalize());
    161:   return 0;
    162: }

    164: /*TEST

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

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

    177: TEST*/