Actual source code: test14.c
slepc-3.19.2 2023-09-05
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[] = "Tests a user-defined convergence test in NEP.\n\n"
12: "The command line options are:\n"
13: " -n <n>, where <n> = matrix dimension.\n";
15: /*
16: Solve T(lambda)x=0 with T(lambda) = -D+sqrt(lambda)*I
17: where D is the Laplacian operator in 1 dimension
18: */
20: #include <slepcnep.h>
22: /*
23: MyConvergedRel - Convergence test relative to the norm of D (given in ctx).
24: */
25: PetscErrorCode MyConvergedRel(NEP nep,PetscScalar eigr,PetscScalar eigi,PetscReal res,PetscReal *errest,void *ctx)
26: {
27: PetscReal norm = *(PetscReal*)ctx;
29: PetscFunctionBegin;
30: *errest = res/norm;
31: PetscFunctionReturn(PETSC_SUCCESS);
32: }
34: int main(int argc,char **argv)
35: {
36: NEP nep; /* nonlinear eigensolver context */
37: Mat A[2];
38: PetscInt n=100,Istart,Iend,i;
39: PetscBool terse;
40: PetscReal norm;
41: FN f[2];
42: PetscScalar coeffs;
44: PetscFunctionBeginUser;
45: PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
46: PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
47: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSquare root eigenproblem, n=%" PetscInt_FMT "\n\n",n));
49: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
50: Create nonlinear eigensolver, define problem in split form
51: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
53: PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep));
55: /* Create matrices */
56: PetscCall(MatCreate(PETSC_COMM_WORLD,&A[0]));
57: PetscCall(MatSetSizes(A[0],PETSC_DECIDE,PETSC_DECIDE,n,n));
58: PetscCall(MatSetFromOptions(A[0]));
59: PetscCall(MatSetUp(A[0]));
60: PetscCall(MatGetOwnershipRange(A[0],&Istart,&Iend));
61: for (i=Istart;i<Iend;i++) {
62: if (i>0) PetscCall(MatSetValue(A[0],i,i-1,1.0,INSERT_VALUES));
63: if (i<n-1) PetscCall(MatSetValue(A[0],i,i+1,1.0,INSERT_VALUES));
64: PetscCall(MatSetValue(A[0],i,i,-2.0,INSERT_VALUES));
65: }
66: PetscCall(MatAssemblyBegin(A[0],MAT_FINAL_ASSEMBLY));
67: PetscCall(MatAssemblyEnd(A[0],MAT_FINAL_ASSEMBLY));
69: PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,n,n,1.0,&A[1]));
71: /* Define functions */
72: PetscCall(FNCreate(PETSC_COMM_WORLD,&f[0]));
73: PetscCall(FNSetType(f[0],FNRATIONAL));
74: coeffs = 1.0;
75: PetscCall(FNRationalSetNumerator(f[0],1,&coeffs));
76: PetscCall(FNCreate(PETSC_COMM_WORLD,&f[1]));
77: PetscCall(FNSetType(f[1],FNSQRT));
78: PetscCall(NEPSetSplitOperator(nep,2,A,f,SUBSET_NONZERO_PATTERN));
80: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
81: Set some options and solve
82: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
84: PetscCall(NEPSetTarget(nep,1.1));
86: /* setup convergence test relative to the norm of D */
87: PetscCall(MatNorm(A[0],NORM_1,&norm));
88: PetscCall(NEPSetConvergenceTestFunction(nep,MyConvergedRel,&norm,NULL));
90: PetscCall(NEPSetFromOptions(nep));
91: PetscCall(NEPSolve(nep));
93: /* show detailed info unless -terse option is given by user */
94: PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
95: if (terse) PetscCall(NEPErrorView(nep,NEP_ERROR_BACKWARD,NULL));
96: else {
97: PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
98: PetscCall(NEPConvergedReasonView(nep,PETSC_VIEWER_STDOUT_WORLD));
99: PetscCall(NEPErrorView(nep,NEP_ERROR_BACKWARD,PETSC_VIEWER_STDOUT_WORLD));
100: PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
101: }
102: PetscCall(NEPDestroy(&nep));
103: PetscCall(MatDestroy(&A[0]));
104: PetscCall(MatDestroy(&A[1]));
105: PetscCall(FNDestroy(&f[0]));
106: PetscCall(FNDestroy(&f[1]));
107: PetscCall(SlepcFinalize());
108: return 0;
109: }
111: /*TEST
113: test:
114: suffix: 1
115: args: -nep_type slp -nep_nev 2 -terse
117: TEST*/