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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 PEP (based on ex16.c).\n\n" | ||
12 | "The command line options are:\n" | ||
13 | " -n <n>, where <n> = number of grid subdivisions in x dimension.\n" | ||
14 | " -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n"; | ||
15 | |||
16 | #include <slepcpep.h> | ||
17 | |||
18 | /* | ||
19 | MyConvergedRel - Convergence test relative to the norm of M (given in ctx). | ||
20 | */ | ||
21 | 50 | PetscErrorCode MyConvergedRel(PEP pep,PetscScalar eigr,PetscScalar eigi,PetscReal res,PetscReal *errest,void *ctx) | |
22 | { | ||
23 | 50 | PetscReal norm = *(PetscReal*)ctx; | |
24 | |||
25 |
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50 | PetscFunctionBegin; |
26 | 50 | *errest = res/norm; | |
27 |
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50 | PetscFunctionReturn(PETSC_SUCCESS); |
28 | } | ||
29 | |||
30 | 10 | int main(int argc,char **argv) | |
31 | { | ||
32 | 10 | Mat M,C,K,A[3]; /* problem matrices */ | |
33 | 10 | PEP pep; /* polynomial eigenproblem solver context */ | |
34 | 10 | PetscInt N,n=10,m,Istart,Iend,II,nev,i,j; | |
35 | 10 | PetscBool flag; | |
36 | 10 | PetscReal norm; | |
37 | |||
38 |
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10 | PetscFunctionBeginUser; |
39 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
40 | |||
41 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
42 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag)); |
43 |
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10 | if (!flag) m=n; |
44 | 10 | N = n*m; | |
45 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nQuadratic Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
46 | |||
47 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
48 | Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0 | ||
49 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
50 | |||
51 | /* K is the 2-D Laplacian */ | ||
52 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&K)); |
53 |
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10 | PetscCall(MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
54 |
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10 | PetscCall(MatSetFromOptions(K)); |
55 |
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10 | PetscCall(MatGetOwnershipRange(K,&Istart,&Iend)); |
56 |
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1010 | for (II=Istart;II<Iend;II++) { |
57 | 1000 | i = II/n; j = II-i*n; | |
58 |
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1000 | if (i>0) PetscCall(MatSetValue(K,II,II-n,-1.0,INSERT_VALUES)); |
59 |
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1000 | if (i<m-1) PetscCall(MatSetValue(K,II,II+n,-1.0,INSERT_VALUES)); |
60 |
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1000 | if (j>0) PetscCall(MatSetValue(K,II,II-1,-1.0,INSERT_VALUES)); |
61 |
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1000 | if (j<n-1) PetscCall(MatSetValue(K,II,II+1,-1.0,INSERT_VALUES)); |
62 |
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1000 | PetscCall(MatSetValue(K,II,II,4.0,INSERT_VALUES)); |
63 | } | ||
64 |
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10 | PetscCall(MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY)); |
65 |
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10 | PetscCall(MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY)); |
66 | |||
67 | /* C is the 1-D Laplacian on horizontal lines */ | ||
68 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&C)); |
69 |
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10 | PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
70 |
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10 | PetscCall(MatSetFromOptions(C)); |
71 |
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10 | PetscCall(MatGetOwnershipRange(C,&Istart,&Iend)); |
72 |
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1010 | for (II=Istart;II<Iend;II++) { |
73 | 1000 | i = II/n; j = II-i*n; | |
74 |
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1000 | if (j>0) PetscCall(MatSetValue(C,II,II-1,-1.0,INSERT_VALUES)); |
75 |
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1000 | if (j<n-1) PetscCall(MatSetValue(C,II,II+1,-1.0,INSERT_VALUES)); |
76 |
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1000 | PetscCall(MatSetValue(C,II,II,2.0,INSERT_VALUES)); |
77 | } | ||
78 |
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10 | PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY)); |
79 |
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10 | PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY)); |
80 | |||
81 | /* M is a diagonal matrix */ | ||
82 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&M)); |
83 |
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10 | PetscCall(MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
84 |
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10 | PetscCall(MatSetFromOptions(M)); |
85 |
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10 | PetscCall(MatGetOwnershipRange(M,&Istart,&Iend)); |
86 |
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1010 | for (II=Istart;II<Iend;II++) PetscCall(MatSetValue(M,II,II,(PetscReal)(II+1),INSERT_VALUES)); |
87 |
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10 | PetscCall(MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY)); |
88 |
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10 | PetscCall(MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY)); |
89 | |||
90 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
91 | Create the eigensolver and set various options | ||
92 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
93 | |||
94 |
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10 | PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep)); |
95 | 10 | A[0] = K; A[1] = C; A[2] = M; | |
96 |
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10 | PetscCall(PEPSetOperators(pep,3,A)); |
97 |
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10 | PetscCall(PEPSetProblemType(pep,PEP_HERMITIAN)); |
98 |
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10 | PetscCall(PEPSetDimensions(pep,4,20,PETSC_DETERMINE)); |
99 | |||
100 | /* setup convergence test relative to the norm of M */ | ||
101 |
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10 | PetscCall(MatNorm(M,NORM_1,&norm)); |
102 |
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10 | PetscCall(PEPSetConvergenceTestFunction(pep,MyConvergedRel,&norm,NULL)); |
103 |
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10 | PetscCall(PEPSetFromOptions(pep)); |
104 | |||
105 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
106 | Solve the eigensystem | ||
107 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
108 | |||
109 |
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10 | PetscCall(PEPSolve(pep)); |
110 |
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10 | PetscCall(PEPGetDimensions(pep,&nev,NULL,NULL)); |
111 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev)); |
112 | |||
113 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
114 | Display solution and clean up | ||
115 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
116 | |||
117 |
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10 | PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL)); |
118 |
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10 | PetscCall(PEPDestroy(&pep)); |
119 |
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10 | PetscCall(MatDestroy(&M)); |
120 |
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10 | PetscCall(MatDestroy(&C)); |
121 |
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10 | PetscCall(MatDestroy(&K)); |
122 |
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10 | PetscCall(SlepcFinalize()); |
123 | return 0; | ||
124 | } | ||
125 | |||
126 | /*TEST | ||
127 | |||
128 | testset: | ||
129 | requires: double | ||
130 | suffix: 1 | ||
131 | |||
132 | TEST*/ | ||
133 |