Line | Branch | Exec | Source |
---|---|---|---|
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[] = "Solve a quadratic problem with CISS.\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 | 5 | int main(int argc,char **argv) | |
19 | { | ||
20 | 5 | Mat M,C,K,A[3]; | |
21 | 5 | PEP pep; | |
22 | 5 | RG rg; | |
23 | 5 | KSP *ksp; | |
24 | 5 | PC pc; | |
25 | 5 | PEPCISSExtraction ext; | |
26 | 5 | PetscInt N,n=10,m,Istart,Iend,II,i,j,nsolve; | |
27 | 5 | PetscBool flg; | |
28 | |||
29 |
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5 | PetscFunctionBeginUser; |
30 |
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5 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
31 |
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5 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
32 |
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5 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flg)); |
33 |
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5 | if (!flg) m=n; |
34 | 5 | N = n*m; | |
35 |
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5 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nQuadratic Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
36 | |||
37 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
38 | Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0 | ||
39 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
40 | |||
41 | /* K is the 2-D Laplacian */ | ||
42 |
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5 | PetscCall(MatCreate(PETSC_COMM_WORLD,&K)); |
43 |
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5 | PetscCall(MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
44 |
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5 | PetscCall(MatSetFromOptions(K)); |
45 |
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5 | PetscCall(MatGetOwnershipRange(K,&Istart,&Iend)); |
46 |
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505 | for (II=Istart;II<Iend;II++) { |
47 | 500 | i = II/n; j = II-i*n; | |
48 |
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500 | if (i>0) PetscCall(MatSetValue(K,II,II-n,-1.0,INSERT_VALUES)); |
49 |
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500 | if (i<m-1) PetscCall(MatSetValue(K,II,II+n,-1.0,INSERT_VALUES)); |
50 |
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500 | if (j>0) PetscCall(MatSetValue(K,II,II-1,-1.0,INSERT_VALUES)); |
51 |
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500 | if (j<n-1) PetscCall(MatSetValue(K,II,II+1,-1.0,INSERT_VALUES)); |
52 |
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500 | PetscCall(MatSetValue(K,II,II,4.0,INSERT_VALUES)); |
53 | } | ||
54 |
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5 | PetscCall(MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY)); |
55 |
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5 | PetscCall(MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY)); |
56 | |||
57 | /* C is the 1-D Laplacian on horizontal lines */ | ||
58 |
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5 | PetscCall(MatCreate(PETSC_COMM_WORLD,&C)); |
59 |
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5 | PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
60 |
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5 | PetscCall(MatSetFromOptions(C)); |
61 |
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5 | PetscCall(MatGetOwnershipRange(C,&Istart,&Iend)); |
62 |
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505 | for (II=Istart;II<Iend;II++) { |
63 | 500 | i = II/n; j = II-i*n; | |
64 |
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500 | if (j>0) PetscCall(MatSetValue(C,II,II-1,-1.0,INSERT_VALUES)); |
65 |
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500 | if (j<n-1) PetscCall(MatSetValue(C,II,II+1,-1.0,INSERT_VALUES)); |
66 |
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500 | PetscCall(MatSetValue(C,II,II,2.0,INSERT_VALUES)); |
67 | } | ||
68 |
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5 | PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY)); |
69 |
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5 | PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY)); |
70 | |||
71 | /* M is a diagonal matrix */ | ||
72 |
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5 | PetscCall(MatCreate(PETSC_COMM_WORLD,&M)); |
73 |
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5 | PetscCall(MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,N,N)); |
74 |
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5 | PetscCall(MatSetFromOptions(M)); |
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5 | PetscCall(MatGetOwnershipRange(M,&Istart,&Iend)); |
76 |
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505 | for (II=Istart;II<Iend;II++) PetscCall(MatSetValue(M,II,II,(PetscReal)(II+1),INSERT_VALUES)); |
77 |
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5 | PetscCall(MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY)); |
78 |
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5 | PetscCall(MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY)); |
79 | |||
80 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
81 | Create the eigensolver and solve the eigensystem | ||
82 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
83 | |||
84 |
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5 | PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep)); |
85 | 5 | A[0] = K; A[1] = C; A[2] = M; | |
86 |
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5 | PetscCall(PEPSetOperators(pep,3,A)); |
87 |
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5 | PetscCall(PEPSetProblemType(pep,PEP_GENERAL)); |
88 | |||
89 | /* customize polynomial eigensolver; set runtime options */ | ||
90 |
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5 | PetscCall(PEPSetType(pep,PEPCISS)); |
91 |
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5 | PetscCall(PEPGetRG(pep,&rg)); |
92 |
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5 | PetscCall(RGSetType(rg,RGELLIPSE)); |
93 |
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5 | PetscCall(RGEllipseSetParameters(rg,PetscCMPLX(-0.1,0.3),0.1,0.25)); |
94 |
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5 | PetscCall(PEPCISSSetSizes(pep,24,PETSC_DETERMINE,PETSC_DETERMINE,1,PETSC_DETERMINE,PETSC_TRUE)); |
95 |
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5 | PetscCall(PEPCISSGetKSPs(pep,&nsolve,&ksp)); |
96 |
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125 | for (i=0;i<nsolve;i++) { |
97 |
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120 | PetscCall(KSPSetTolerances(ksp[i],1e-12,PETSC_CURRENT,PETSC_CURRENT,PETSC_CURRENT)); |
98 |
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120 | PetscCall(KSPSetType(ksp[i],KSPPREONLY)); |
99 |
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120 | PetscCall(KSPGetPC(ksp[i],&pc)); |
100 |
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120 | PetscCall(PCSetType(pc,PCLU)); |
101 | } | ||
102 |
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5 | PetscCall(PEPSetFromOptions(pep)); |
103 | |||
104 | /* solve */ | ||
105 |
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5 | PetscCall(PetscObjectTypeCompare((PetscObject)pep,PEPCISS,&flg)); |
106 |
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5 | if (flg) { |
107 |
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5 | PetscCall(PEPCISSGetExtraction(pep,&ext)); |
108 |
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5 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Running CISS with %" PetscInt_FMT " KSP solvers (%s extraction)\n",nsolve,PEPCISSExtractions[ext])); |
109 | } | ||
110 |
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5 | PetscCall(PEPSolve(pep)); |
111 | |||
112 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
113 | Display solution and clean up | ||
114 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
115 | |||
116 |
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5 | PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL)); |
117 |
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5 | PetscCall(PEPDestroy(&pep)); |
118 |
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5 | PetscCall(MatDestroy(&M)); |
119 |
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5 | PetscCall(MatDestroy(&C)); |
120 |
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5 | PetscCall(MatDestroy(&K)); |
121 |
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5 | PetscCall(SlepcFinalize()); |
122 | return 0; | ||
123 | } | ||
124 | |||
125 | /*TEST | ||
126 | |||
127 | build: | ||
128 | requires: complex | ||
129 | |||
130 | test: | ||
131 | suffix: 1 | ||
132 | requires: complex | ||
133 | |||
134 | TEST*/ | ||
135 |