Line | Branch | Exec | Source |
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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[] = "Generalized eigenproblem, illustrates setting MUMPS options.\n\n" | ||
12 | "The problem is Ax = lambda Bx, with:\n" | ||
13 | " A = Laplacian operator in 2-D\n" | ||
14 | " B = diagonal matrix with all values equal to 4\n\n" | ||
15 | "The command line options are:\n" | ||
16 | " -n <n>, where <n> = number of grid subdivisions in x dimension.\n" | ||
17 | " -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n"; | ||
18 | |||
19 | #include <slepceps.h> | ||
20 | |||
21 | 14 | int main(int argc,char **argv) | |
22 | { | ||
23 | 14 | Mat A,B; | |
24 | #if defined(PETSC_HAVE_MUMPS) | ||
25 | 6 | Mat K; | |
26 | #endif | ||
27 | 14 | EPS eps; | |
28 | 14 | EPSType type; | |
29 | 14 | ST st; | |
30 | 14 | KSP ksp; | |
31 | 14 | PC pc; | |
32 | 14 | PetscInt N,n=10,m=12,Istart,Iend,II,nev,i,j; | |
33 | 14 | PetscBool flag,terse; | |
34 | |||
35 |
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14 | PetscFunctionBeginUser; |
36 |
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14 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
37 | |||
38 |
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14 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
39 |
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14 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag)); |
40 | 14 | N = n*m; | |
41 |
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14 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
42 | |||
43 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
44 | Compute the matrices that define the eigensystem, Ax=kBx | ||
45 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
46 | |||
47 |
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14 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
48 |
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14 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
49 |
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14 | PetscCall(MatSetFromOptions(A)); |
50 | |||
51 |
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14 | PetscCall(MatCreate(PETSC_COMM_WORLD,&B)); |
52 |
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14 | PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
53 |
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14 | PetscCall(MatSetFromOptions(B)); |
54 | |||
55 |
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14 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
56 |
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1454 | for (II=Istart;II<Iend;II++) { |
57 | 1440 | i = II/n; j = II-i*n; | |
58 |
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1440 | if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES)); |
59 |
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1440 | if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES)); |
60 |
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1440 | if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES)); |
61 |
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1440 | if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES)); |
62 |
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1440 | PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES)); |
63 |
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1440 | PetscCall(MatSetValue(B,II,II,4.0,INSERT_VALUES)); |
64 | } | ||
65 | |||
66 |
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14 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
67 |
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14 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
68 |
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14 | PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); |
69 |
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14 | PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); |
70 | |||
71 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
72 | Create the eigensolver and set various options | ||
73 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
74 | |||
75 | /* | ||
76 | Create eigensolver context | ||
77 | */ | ||
78 |
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14 | PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps)); |
79 | |||
80 | /* | ||
81 | Set operators. In this case, it is a generalized eigenvalue problem | ||
82 | */ | ||
83 |
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14 | PetscCall(EPSSetOperators(eps,A,B)); |
84 |
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14 | PetscCall(EPSSetProblemType(eps,EPS_GNHEP)); |
85 | |||
86 | /* | ||
87 | Set some solver options | ||
88 | */ | ||
89 |
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14 | PetscCall(EPSSetTarget(eps,1.3)); |
90 |
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14 | PetscCall(EPSSetDimensions(eps,2,PETSC_DETERMINE,PETSC_DETERMINE)); |
91 |
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14 | PetscCall(EPSGetST(eps,&st)); |
92 |
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14 | PetscCall(STSetType(st,STSINVERT)); |
93 | |||
94 |
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14 | PetscCall(STGetKSP(st,&ksp)); |
95 |
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14 | PetscCall(KSPSetType(ksp,KSPPREONLY)); |
96 |
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14 | PetscCall(KSPGetPC(ksp,&pc)); |
97 |
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14 | PetscCall(PCSetType(pc,PCLU)); |
98 | |||
99 | /* | ||
100 | Set MUMPS options if available | ||
101 | */ | ||
102 | #if defined(PETSC_HAVE_MUMPS) | ||
103 |
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6 | PetscCall(PCFactorSetMatSolverType(pc,MATSOLVERMUMPS)); |
104 | /* the next line is required to force the creation of the ST operator and its passing to KSP */ | ||
105 |
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6 | PetscCall(STGetOperator(st,NULL)); |
106 |
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6 | PetscCall(PCFactorSetUpMatSolverType(pc)); |
107 |
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6 | PetscCall(PCFactorGetMatrix(pc,&K)); |
108 |
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6 | PetscCall(MatMumpsSetIcntl(K,14,50)); |
109 |
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6 | PetscCall(MatMumpsSetCntl(K,3,1e-12)); |
110 | #endif | ||
111 | |||
112 | /* | ||
113 | Let the user change settings at runtime | ||
114 | */ | ||
115 |
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14 | PetscCall(EPSSetFromOptions(eps)); |
116 | |||
117 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
118 | Solve the eigensystem | ||
119 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
120 | |||
121 |
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14 | PetscCall(EPSSolve(eps)); |
122 | |||
123 | /* | ||
124 | Optional: Get some information from the solver and display it | ||
125 | */ | ||
126 |
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14 | PetscCall(EPSGetType(eps,&type)); |
127 |
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14 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type)); |
128 |
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14 | PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL)); |
129 |
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14 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev)); |
130 | |||
131 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
132 | Display solution and clean up | ||
133 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
134 | |||
135 | /* show detailed info unless -terse option is given by user */ | ||
136 |
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14 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
137 |
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14 | if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL)); |
138 | else { | ||
139 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
140 | ✗ | PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD)); | |
141 | ✗ | PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD)); | |
142 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
143 | } | ||
144 |
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14 | PetscCall(EPSDestroy(&eps)); |
145 |
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14 | PetscCall(MatDestroy(&A)); |
146 |
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14 | PetscCall(MatDestroy(&B)); |
147 |
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14 | PetscCall(SlepcFinalize()); |
148 | return 0; | ||
149 | } | ||
150 | |||
151 | /*TEST | ||
152 | |||
153 | testset: | ||
154 | args: -terse | ||
155 | output_file: output/ex43_1.out | ||
156 | test: | ||
157 | suffix: 1 | ||
158 | test: | ||
159 | suffix: 2 | ||
160 | nsize: 2 | ||
161 | args: -st_pc_factor_mat_solver_type mumps | ||
162 | requires: mumps | ||
163 | |||
164 | TEST*/ | ||
165 |