Actual source code: test8.c

slepc-3.11.2 2019-07-30
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  1: /*
  2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
  4:    Copyright (c) 2002-2019, 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 NEP view and monitor functionality.\n\n";

 13: #include <slepcnep.h>

 15: int main(int argc,char **argv)
 16: {
 17:   Mat                A[3];
 18:   FN                 f[3];
 19:   NEP                nep;
 20:   Vec                xr,xi;
 21:   PetscScalar        kr,ki,coeffs[3];
 22:   PetscInt           n=6,i,Istart,Iend,nconv,its;
 23:   PetscErrorCode     ierr;

 25:   SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
 26:   PetscPrintf(PETSC_COMM_WORLD,"\nDiagonal Nonlinear Eigenproblem, n=%D\n\n",n);

 28:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 29:         Generate the matrices
 30:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

 32:   MatCreate(PETSC_COMM_WORLD,&A[0]);
 33:   MatSetSizes(A[0],PETSC_DECIDE,PETSC_DECIDE,n,n);
 34:   MatSetFromOptions(A[0]);
 35:   MatSetUp(A[0]);
 36:   MatGetOwnershipRange(A[0],&Istart,&Iend);
 37:   for (i=Istart;i<Iend;i++) {
 38:     MatSetValue(A[0],i,i,i+1,INSERT_VALUES);
 39:   }
 40:   MatAssemblyBegin(A[0],MAT_FINAL_ASSEMBLY);
 41:   MatAssemblyEnd(A[0],MAT_FINAL_ASSEMBLY);

 43:   MatCreate(PETSC_COMM_WORLD,&A[1]);
 44:   MatSetSizes(A[1],PETSC_DECIDE,PETSC_DECIDE,n,n);
 45:   MatSetFromOptions(A[1]);
 46:   MatSetUp(A[1]);
 47:   for (i=Istart;i<Iend;i++) {
 48:     MatSetValue(A[1],i,i,-1.5,INSERT_VALUES);
 49:   }
 50:   MatAssemblyBegin(A[1],MAT_FINAL_ASSEMBLY);
 51:   MatAssemblyEnd(A[1],MAT_FINAL_ASSEMBLY);

 53:   MatCreate(PETSC_COMM_WORLD,&A[2]);
 54:   MatSetSizes(A[2],PETSC_DECIDE,PETSC_DECIDE,n,n);
 55:   MatSetFromOptions(A[2]);
 56:   MatSetUp(A[2]);
 57:   for (i=Istart;i<Iend;i++) {
 58:     MatSetValue(A[2],i,i,-1.0/(i+1),INSERT_VALUES);
 59:   }
 60:   MatAssemblyBegin(A[2],MAT_FINAL_ASSEMBLY);
 61:   MatAssemblyEnd(A[2],MAT_FINAL_ASSEMBLY);

 63:   /*
 64:      Functions: f0=1.0, f1=lambda, f2=lambda^2
 65:   */
 66:   FNCreate(PETSC_COMM_WORLD,&f[0]);
 67:   FNSetType(f[0],FNRATIONAL);
 68:   coeffs[0] = 1.0;
 69:   FNRationalSetNumerator(f[0],1,coeffs);

 71:   FNCreate(PETSC_COMM_WORLD,&f[1]);
 72:   FNSetType(f[1],FNRATIONAL);
 73:   coeffs[0] = 1.0; coeffs[1] = 0.0;
 74:   FNRationalSetNumerator(f[1],2,coeffs);

 76:   FNCreate(PETSC_COMM_WORLD,&f[2]);
 77:   FNSetType(f[2],FNRATIONAL);
 78:   coeffs[0] = 1.0; coeffs[1] = 0.0; coeffs[2] = 0.0;
 79:   FNRationalSetNumerator(f[2],3,coeffs);

 81:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 82:                       Create the NEP solver
 83:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
 84:   NEPCreate(PETSC_COMM_WORLD,&nep);
 85:   PetscObjectSetName((PetscObject)nep,"nep");
 86:   NEPSetSplitOperator(nep,3,A,f,SAME_NONZERO_PATTERN);
 87:   NEPSetTarget(nep,1.1);
 88:   NEPSetWhichEigenpairs(nep,NEP_TARGET_MAGNITUDE);
 89:   NEPSetFromOptions(nep);

 91:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
 92:                 Solve the eigensystem and display solution
 93:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
 94:   NEPSolve(nep);
 95:   NEPGetConverged(nep,&nconv);
 96:   NEPGetIterationNumber(nep,&its);
 97:   PetscPrintf(PETSC_COMM_WORLD," %D converged eigenpairs after %D iterations\n",nconv,its);
 98:   if (nconv>0) {
 99:     MatCreateVecs(A[0],&xr,&xi);
100:     NEPGetEigenpair(nep,0,&kr,&ki,xr,xi);
101:     VecDestroy(&xr);
102:     VecDestroy(&xi);
103:   }

105:   NEPErrorView(nep,NEP_ERROR_BACKWARD,NULL);
106:   NEPDestroy(&nep);
107:   MatDestroy(&A[0]);
108:   MatDestroy(&A[1]);
109:   MatDestroy(&A[2]);
110:   FNDestroy(&f[0]);
111:   FNDestroy(&f[1]);
112:   FNDestroy(&f[2]);
113:   SlepcFinalize();
114:   return ierr;
115: }

117: /*TEST

119:    test:
120:       suffix: 1
121:       args: -nep_type slp -nep_target -.5 -nep_error_backward ::ascii_info_detail -nep_view_values -nep_error_absolute ::ascii_matlab -nep_monitor_all -nep_converged_reason -nep_view
122:       filter: grep -v "tolerance" | grep -v "problem type" | sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g"
123:       requires: double !complex !define(PETSC_USE_64BIT_INDICES)

125: TEST*/