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1 | /* | ||
2 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
3 | SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
4 | Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
5 | |||
6 | This file is part of SLEPc. | ||
7 | SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
8 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
9 | */ | ||
10 | |||
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"; | ||
14 | |||
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 | */ | ||
19 | |||
20 | #include <slepcnep.h> | ||
21 | |||
22 | /* | ||
23 | MyConvergedRel - Convergence test relative to the norm of D (given in ctx). | ||
24 | */ | ||
25 | 70 | PetscErrorCode MyConvergedRel(NEP nep,PetscScalar eigr,PetscScalar eigi,PetscReal res,PetscReal *errest,void *ctx) | |
26 | { | ||
27 | 70 | PetscReal norm = *(PetscReal*)ctx; | |
28 | |||
29 |
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70 | PetscFunctionBegin; |
30 | 70 | *errest = res/norm; | |
31 |
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70 | PetscFunctionReturn(PETSC_SUCCESS); |
32 | } | ||
33 | |||
34 | 10 | int main(int argc,char **argv) | |
35 | { | ||
36 | 10 | NEP nep; /* nonlinear eigensolver context */ | |
37 | 10 | Mat A[2]; | |
38 | 10 | PetscInt n=100,Istart,Iend,i; | |
39 | 10 | PetscBool terse; | |
40 | 10 | PetscReal norm; | |
41 | 10 | FN f[2]; | |
42 | 10 | PetscScalar coeffs; | |
43 | |||
44 |
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10 | PetscFunctionBeginUser; |
45 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
46 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
47 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSquare root eigenproblem, n=%" PetscInt_FMT "\n\n",n)); |
48 | |||
49 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
50 | Create nonlinear eigensolver, define problem in split form | ||
51 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
52 | |||
53 |
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10 | PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep)); |
54 | |||
55 | /* Create matrices */ | ||
56 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A[0])); |
57 |
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10 | PetscCall(MatSetSizes(A[0],PETSC_DECIDE,PETSC_DECIDE,n,n)); |
58 |
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10 | PetscCall(MatSetFromOptions(A[0])); |
59 |
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10 | PetscCall(MatGetOwnershipRange(A[0],&Istart,&Iend)); |
60 |
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1010 | for (i=Istart;i<Iend;i++) { |
61 |
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1000 | if (i>0) PetscCall(MatSetValue(A[0],i,i-1,1.0,INSERT_VALUES)); |
62 |
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1000 | if (i<n-1) PetscCall(MatSetValue(A[0],i,i+1,1.0,INSERT_VALUES)); |
63 |
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1000 | PetscCall(MatSetValue(A[0],i,i,-2.0,INSERT_VALUES)); |
64 | } | ||
65 |
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10 | PetscCall(MatAssemblyBegin(A[0],MAT_FINAL_ASSEMBLY)); |
66 |
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10 | PetscCall(MatAssemblyEnd(A[0],MAT_FINAL_ASSEMBLY)); |
67 | |||
68 |
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10 | PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,n,n,1.0,&A[1])); |
69 | |||
70 | /* Define functions */ | ||
71 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f[0])); |
72 |
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10 | PetscCall(FNSetType(f[0],FNRATIONAL)); |
73 | 10 | coeffs = 1.0; | |
74 |
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10 | PetscCall(FNRationalSetNumerator(f[0],1,&coeffs)); |
75 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f[1])); |
76 |
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10 | PetscCall(FNSetType(f[1],FNSQRT)); |
77 |
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10 | PetscCall(NEPSetSplitOperator(nep,2,A,f,SUBSET_NONZERO_PATTERN)); |
78 | |||
79 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
80 | Set some options and solve | ||
81 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
82 | |||
83 |
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10 | PetscCall(NEPSetTarget(nep,1.1)); |
84 | |||
85 | /* setup convergence test relative to the norm of D */ | ||
86 |
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10 | PetscCall(MatNorm(A[0],NORM_1,&norm)); |
87 |
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10 | PetscCall(NEPSetConvergenceTestFunction(nep,MyConvergedRel,&norm,NULL)); |
88 | |||
89 |
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10 | PetscCall(NEPSetFromOptions(nep)); |
90 |
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10 | PetscCall(NEPSolve(nep)); |
91 | |||
92 | /* show detailed info unless -terse option is given by user */ | ||
93 |
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10 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
94 |
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10 | if (terse) PetscCall(NEPErrorView(nep,NEP_ERROR_BACKWARD,NULL)); |
95 | else { | ||
96 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
97 | ✗ | PetscCall(NEPConvergedReasonView(nep,PETSC_VIEWER_STDOUT_WORLD)); | |
98 | ✗ | PetscCall(NEPErrorView(nep,NEP_ERROR_BACKWARD,PETSC_VIEWER_STDOUT_WORLD)); | |
99 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
100 | } | ||
101 |
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10 | PetscCall(NEPDestroy(&nep)); |
102 |
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10 | PetscCall(MatDestroy(&A[0])); |
103 |
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10 | PetscCall(MatDestroy(&A[1])); |
104 |
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10 | PetscCall(FNDestroy(&f[0])); |
105 |
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10 | PetscCall(FNDestroy(&f[1])); |
106 |
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10 | PetscCall(SlepcFinalize()); |
107 | return 0; | ||
108 | } | ||
109 | |||
110 | /*TEST | ||
111 | |||
112 | test: | ||
113 | suffix: 1 | ||
114 | args: -nep_type slp -nep_nev 2 -terse | ||
115 | |||
116 | TEST*/ | ||
117 |