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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[] = "Illustrates passing a sparser matrix to build the preconditioner.\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 <slepceps.h> | ||
17 | |||
18 | 20 | int main(int argc,char **argv) | |
19 | { | ||
20 | 20 | Mat A,A0; /* operator matrix */ | |
21 | 20 | EPS eps; /* eigenproblem solver context */ | |
22 | 20 | ST st; | |
23 | 20 | PetscInt N,n=24,m,Istart,Iend,II,i,j; | |
24 | 20 | PetscBool flag,terse; | |
25 | |||
26 |
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20 | PetscFunctionBeginUser; |
27 |
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20 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
28 | |||
29 |
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20 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
30 |
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20 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag)); |
31 |
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20 | if (!flag) m=n; |
32 | 20 | N = n*m; | |
33 |
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20 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nModified 2-D Laplacian Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
34 | |||
35 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
36 | Compute the operator matrix A and a sparser approximation A0 | ||
37 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
38 | |||
39 |
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20 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
40 |
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20 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
41 |
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20 | PetscCall(MatSetFromOptions(A)); |
42 |
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20 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
43 |
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11540 | for (II=Istart;II<Iend;II++) { |
44 | 11520 | i = II/n; j = II-i*n; | |
45 |
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11520 | if (i>0) PetscCall(MatSetValue(A,II,II-n,-0.2,INSERT_VALUES)); |
46 |
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11520 | if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-0.2,INSERT_VALUES)); |
47 |
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11520 | if (j>0) PetscCall(MatSetValue(A,II,II-1,-3.0,INSERT_VALUES)); |
48 |
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11520 | if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-3.0,INSERT_VALUES)); |
49 |
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11520 | PetscCall(MatSetValue(A,II,II,7.0,INSERT_VALUES)); |
50 | } | ||
51 |
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20 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
52 |
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20 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
53 | |||
54 |
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20 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A0)); |
55 |
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20 | PetscCall(MatSetSizes(A0,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
56 |
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20 | PetscCall(MatSetFromOptions(A0)); |
57 |
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20 | PetscCall(MatGetOwnershipRange(A0,&Istart,&Iend)); |
58 |
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11540 | for (II=Istart;II<Iend;II++) { |
59 | 11520 | i = II/n; j = II-i*n; | |
60 |
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11520 | if (j>0) PetscCall(MatSetValue(A0,II,II-1,-3.0,INSERT_VALUES)); |
61 |
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11520 | if (j<n-1) PetscCall(MatSetValue(A0,II,II+1,-3.0,INSERT_VALUES)); |
62 |
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11520 | PetscCall(MatSetValue(A0,II,II,7.0,INSERT_VALUES)); |
63 | } | ||
64 |
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20 | PetscCall(MatAssemblyBegin(A0,MAT_FINAL_ASSEMBLY)); |
65 |
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20 | PetscCall(MatAssemblyEnd(A0,MAT_FINAL_ASSEMBLY)); |
66 | |||
67 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
68 | Create the eigensolver and set various options | ||
69 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
70 | |||
71 |
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20 | PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps)); |
72 |
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20 | PetscCall(EPSSetOperators(eps,A,NULL)); |
73 |
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20 | PetscCall(EPSSetProblemType(eps,EPS_HEP)); |
74 |
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20 | PetscCall(EPSGetST(eps,&st)); |
75 |
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20 | PetscCall(STSetType(st,STSINVERT)); |
76 |
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20 | PetscCall(STSetPreconditionerMat(st,A0)); |
77 |
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20 | PetscCall(EPSSetTarget(eps,0.0)); |
78 |
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20 | PetscCall(EPSSetWhichEigenpairs(eps,EPS_TARGET_MAGNITUDE)); |
79 |
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20 | PetscCall(EPSSetFromOptions(eps)); |
80 | |||
81 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
82 | Solve the eigensystem and display solution | ||
83 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
84 | |||
85 |
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20 | PetscCall(EPSSolve(eps)); |
86 | |||
87 | /* show detailed info unless -terse option is given by user */ | ||
88 |
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20 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
89 |
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20 | if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL)); |
90 | else { | ||
91 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
92 | ✗ | PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD)); | |
93 | ✗ | PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD)); | |
94 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
95 | } | ||
96 |
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20 | PetscCall(EPSDestroy(&eps)); |
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20 | PetscCall(MatDestroy(&A)); |
98 |
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20 | PetscCall(MatDestroy(&A0)); |
99 |
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20 | PetscCall(SlepcFinalize()); |
100 | return 0; | ||
101 | } | ||
102 | |||
103 | /*TEST | ||
104 | |||
105 | testset: | ||
106 | args: -eps_nev 4 -terse | ||
107 | output_file: output/ex46_1.out | ||
108 | requires: !single | ||
109 | test: | ||
110 | suffix: 1 | ||
111 | test: | ||
112 | suffix: 2 | ||
113 | args: -st_ksp_type bcgs -st_pc_type bjacobi | ||
114 | |||
115 | TEST*/ | ||
116 |