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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[] = "Test changing MFN type.\n\n"; | ||
12 | |||
13 | #include <slepcmfn.h> | ||
14 | |||
15 | 10 | int main(int argc,char **argv) | |
16 | { | ||
17 | 10 | Mat A; /* problem matrix */ | |
18 | 10 | MFN mfn; | |
19 | 10 | FN f; | |
20 | 10 | PetscReal norm; | |
21 | 10 | PetscScalar t=0.3; | |
22 | 10 | PetscInt N,n=25,m,Istart,Iend,II,i,j; | |
23 | 10 | PetscBool flag; | |
24 | 10 | Vec v,y; | |
25 | |||
26 |
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10 | PetscFunctionBeginUser; |
27 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
28 | |||
29 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
30 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag)); |
31 |
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10 | if (!flag) m=n; |
32 | 10 | N = n*m; | |
33 |
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10 | PetscCall(PetscOptionsGetScalar(NULL,NULL,"-t",&t,NULL)); |
34 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nMatrix exponential y=exp(t*A)*e, of the 2-D Laplacian, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
35 | |||
36 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
37 | Build the 2-D Laplacian | ||
38 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
39 | |||
40 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
41 |
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10 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
42 |
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10 | PetscCall(MatSetFromOptions(A)); |
43 | |||
44 |
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10 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
45 |
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6260 | for (II=Istart;II<Iend;II++) { |
46 | 6250 | i = II/n; j = II-i*n; | |
47 |
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6250 | if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES)); |
48 |
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6250 | if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES)); |
49 |
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6250 | if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES)); |
50 |
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6250 | if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES)); |
51 |
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6250 | PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES)); |
52 | } | ||
53 | |||
54 |
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10 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
55 |
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10 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
56 | |||
57 | /* set v = ones(n,1) */ | ||
58 |
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10 | PetscCall(MatCreateVecs(A,&v,&y)); |
59 |
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10 | PetscCall(VecSet(v,1.0)); |
60 | |||
61 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
62 | Create the solver and set various options | ||
63 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
64 | |||
65 |
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10 | PetscCall(FNCreate(PETSC_COMM_WORLD,&f)); |
66 |
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10 | PetscCall(FNSetType(f,FNEXP)); |
67 | |||
68 |
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10 | PetscCall(MFNCreate(PETSC_COMM_WORLD,&mfn)); |
69 |
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10 | PetscCall(MFNSetOperator(mfn,A)); |
70 |
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10 | PetscCall(MFNSetType(mfn,MFNEXPOKIT)); |
71 |
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10 | PetscCall(MFNSetDimensions(mfn,24)); |
72 |
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10 | PetscCall(MFNSetTolerances(mfn,1e-5,1000)); |
73 |
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10 | PetscCall(MFNSetFN(mfn,f)); |
74 |
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10 | PetscCall(MFNSetErrorIfNotConverged(mfn,PETSC_TRUE)); |
75 |
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10 | PetscCall(MFNSetFromOptions(mfn)); |
76 |
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10 | PetscCall(MFNView(mfn,NULL)); |
77 | |||
78 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
79 | Change MFN type and solve the problem, y=exp(t*A)*v | ||
80 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
81 | |||
82 |
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10 | PetscCall(MFNSetType(mfn,MFNKRYLOV)); |
83 |
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10 | PetscCall(FNSetScale(f,t,1.0)); |
84 |
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10 | PetscCall(MFNSolve(mfn,v,y)); |
85 |
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10 | PetscCall(VecNorm(y,NORM_2,&norm)); |
86 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Computed vector at time t=%.4g has norm %g\n\n",(double)PetscRealPart(t),(double)norm)); |
87 | |||
88 | /* | ||
89 | Free work space | ||
90 | */ | ||
91 |
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10 | PetscCall(MFNDestroy(&mfn)); |
92 |
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10 | PetscCall(FNDestroy(&f)); |
93 |
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10 | PetscCall(MatDestroy(&A)); |
94 |
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10 | PetscCall(VecDestroy(&v)); |
95 |
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10 | PetscCall(VecDestroy(&y)); |
96 |
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10 | PetscCall(SlepcFinalize()); |
97 | return 0; | ||
98 | } | ||
99 | |||
100 | /*TEST | ||
101 | |||
102 | test: | ||
103 | |||
104 | TEST*/ | ||
105 |