Actual source code: test6.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 STPRECOND operations.\n\n";

 13: #include <slepcst.h>

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

 25:   PetscFunctionBeginUser;
 26:   PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
 27:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
 28:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nPreconditioner for 1-D Laplacian, n=%" PetscInt_FMT "\n\n",n));

 30:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 31:              Compute the operator matrix for the 1-D Laplacian
 32:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

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

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

 50:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 51:                 Create the spectral transformation object
 52:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 54:   PetscCall(STCreate(PETSC_COMM_WORLD,&st));
 55:   mat[0] = A;
 56:   PetscCall(STSetMatrices(st,1,mat));
 57:   PetscCall(STSetType(st,STPRECOND));
 58:   PetscCall(STGetKSP(st,&ksp));
 59:   PetscCall(KSPSetType(ksp,KSPPREONLY));
 60:   PetscCall(STSetFromOptions(st));

 62:   /* set up */
 63:   /* - the transform flag is necessary so that A-sigma*I is built explicitly */
 64:   PetscCall(STSetTransform(st,PETSC_TRUE));
 65:   /* - the ksphasmat flag is necessary when using STApply(), otherwise can only use PCApply() */
 66:   PetscCall(STPrecondSetKSPHasMat(st,PETSC_TRUE));
 67:   /* no need to call STSetUp() explicitly */
 68:   PetscCall(STSetUp(st));

 70:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 71:                        Apply the preconditioner
 72:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 74:   /* default shift */
 75:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With default shift\n"));
 76:   PetscCall(STApply(st,v,w));
 77:   PetscCall(VecView(w,NULL));

 79:   /* change shift */
 80:   sigma = 0.1;
 81:   PetscCall(STSetShift(st,sigma));
 82:   PetscCall(STGetShift(st,&sigma));
 83:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma)));
 84:   PetscCall(STApply(st,v,w));
 85:   PetscCall(VecView(w,NULL));
 86:   PetscCall(STPostSolve(st));   /* undo changes if inplace */

 88:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 89:                  Test a user-provided preconditioner matrix
 90:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 92:   PetscCall(MatCreate(PETSC_COMM_WORLD,&P));
 93:   PetscCall(MatSetSizes(P,PETSC_DECIDE,PETSC_DECIDE,n,n));
 94:   PetscCall(MatSetFromOptions(P));
 95:   PetscCall(MatSetUp(P));

 97:   PetscCall(MatGetOwnershipRange(P,&Istart,&Iend));
 98:   for (i=Istart;i<Iend;i++) PetscCall(MatSetValue(P,i,i,2.0,INSERT_VALUES));
 99:   if (Istart==0) {
100:     PetscCall(MatSetValue(P,1,0,-1.0,INSERT_VALUES));
101:     PetscCall(MatSetValue(P,0,1,-1.0,INSERT_VALUES));
102:   }
103:   PetscCall(MatAssemblyBegin(P,MAT_FINAL_ASSEMBLY));
104:   PetscCall(MatAssemblyEnd(P,MAT_FINAL_ASSEMBLY));

106:   /* apply new preconditioner */
107:   PetscCall(STSetPreconditionerMat(st,P));
108:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With user-provided matrix\n"));
109:   PetscCall(STApply(st,v,w));
110:   PetscCall(VecView(w,NULL));

112:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
113:             Test a user-provided preconditioner in split form
114:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

116:   PetscCall(STGetMatMode(st,&matmode));
117:   if (matmode==ST_MATMODE_COPY) {
118:     PetscCall(STSetPreconditionerMat(st,NULL));
119:     mat[0] = P;
120:     PetscCall(STSetSplitPreconditioner(st,1,mat,SAME_NONZERO_PATTERN));

122:     /* apply new preconditioner */
123:     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With split preconditioner\n"));
124:     PetscCall(STApply(st,v,w));
125:     PetscCall(VecView(w,NULL));
126:   }

128:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
129:                              Clean up
130:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
131:   PetscCall(STDestroy(&st));
132:   PetscCall(MatDestroy(&A));
133:   PetscCall(MatDestroy(&P));
134:   PetscCall(VecDestroy(&v));
135:   PetscCall(VecDestroy(&w));
136:   PetscCall(SlepcFinalize());
137:   return 0;
138: }

140: /*TEST

142:    test:
143:       suffix: 1
144:       args: -st_matmode {{copy inplace shell}separate output}
145:       requires: !single

147: TEST*/