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[] = "User-defined split preconditioner when solving a quadratic eigenproblem.\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 | 45 | int main(int argc,char **argv) | |
19 | { | ||
20 | 45 | Mat A[3],P[3]; /* problem matrices and split preconditioner matrices */ | |
21 | 45 | PEP pep; /* polynomial eigenproblem solver context */ | |
22 | 45 | ST st; | |
23 | 45 | PetscInt N,n=10,m,Istart,Iend,II,i,j; | |
24 | 45 | PetscBool flag,terse; | |
25 | |||
26 |
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45 | PetscFunctionBeginUser; |
27 |
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45 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
28 | |||
29 |
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45 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
30 |
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45 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag)); |
31 |
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45 | if (!flag) m=n; |
32 | 45 | N = n*m; | |
33 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nQuadratic Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m)); |
34 | |||
35 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
36 | Compute the matrices for (k^2*A_2+k*A_1+A_0)x=0, and their approximations | ||
37 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
38 | |||
39 | /* A[0] is the 2-D Laplacian */ | ||
40 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A[0])); |
41 |
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45 | PetscCall(MatSetSizes(A[0],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
42 |
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45 | PetscCall(MatSetFromOptions(A[0])); |
43 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&P[0])); |
44 |
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45 | PetscCall(MatSetSizes(P[0],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
45 |
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45 | PetscCall(MatSetFromOptions(P[0])); |
46 | |||
47 |
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45 | PetscCall(MatGetOwnershipRange(A[0],&Istart,&Iend)); |
48 |
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5805 | for (II=Istart;II<Iend;II++) { |
49 | 5760 | i = II/n; j = II-i*n; | |
50 |
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5760 | if (i>0) PetscCall(MatSetValue(A[0],II,II-n,-1.0,INSERT_VALUES)); |
51 |
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5760 | if (i<m-1) PetscCall(MatSetValue(A[0],II,II+n,-1.0,INSERT_VALUES)); |
52 |
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5760 | if (j>0) PetscCall(MatSetValue(A[0],II,II-1,-1.0,INSERT_VALUES)); |
53 |
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5760 | if (j<n-1) PetscCall(MatSetValue(A[0],II,II+1,-1.0,INSERT_VALUES)); |
54 |
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5760 | PetscCall(MatSetValue(A[0],II,II,4.0,INSERT_VALUES)); |
55 |
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5760 | if (j>0) PetscCall(MatSetValue(P[0],II,II-1,-1.0,INSERT_VALUES)); |
56 |
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5760 | if (j<n-1) PetscCall(MatSetValue(P[0],II,II+1,-1.0,INSERT_VALUES)); |
57 |
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5760 | PetscCall(MatSetValue(P[0],II,II,4.0,INSERT_VALUES)); |
58 | } | ||
59 |
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45 | PetscCall(MatAssemblyBegin(A[0],MAT_FINAL_ASSEMBLY)); |
60 |
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45 | PetscCall(MatAssemblyEnd(A[0],MAT_FINAL_ASSEMBLY)); |
61 |
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45 | PetscCall(MatAssemblyBegin(P[0],MAT_FINAL_ASSEMBLY)); |
62 |
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45 | PetscCall(MatAssemblyEnd(P[0],MAT_FINAL_ASSEMBLY)); |
63 | |||
64 | /* A[1] is the 1-D Laplacian on horizontal lines */ | ||
65 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A[1])); |
66 |
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45 | PetscCall(MatSetSizes(A[1],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
67 |
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45 | PetscCall(MatSetFromOptions(A[1])); |
68 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&P[1])); |
69 |
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45 | PetscCall(MatSetSizes(P[1],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
70 |
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45 | PetscCall(MatSetFromOptions(P[1])); |
71 | |||
72 |
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45 | PetscCall(MatGetOwnershipRange(A[1],&Istart,&Iend)); |
73 |
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5805 | for (II=Istart;II<Iend;II++) { |
74 | 5760 | i = II/n; j = II-i*n; | |
75 |
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5760 | if (j>0) PetscCall(MatSetValue(A[1],II,II-1,-1.0,INSERT_VALUES)); |
76 |
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5760 | if (j<n-1) PetscCall(MatSetValue(A[1],II,II+1,-1.0,INSERT_VALUES)); |
77 |
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5760 | PetscCall(MatSetValue(A[1],II,II,2.0,INSERT_VALUES)); |
78 |
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5760 | PetscCall(MatSetValue(P[1],II,II,2.0,INSERT_VALUES)); |
79 | } | ||
80 |
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45 | PetscCall(MatAssemblyBegin(A[1],MAT_FINAL_ASSEMBLY)); |
81 |
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45 | PetscCall(MatAssemblyEnd(A[1],MAT_FINAL_ASSEMBLY)); |
82 |
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45 | PetscCall(MatAssemblyBegin(P[1],MAT_FINAL_ASSEMBLY)); |
83 |
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45 | PetscCall(MatAssemblyEnd(P[1],MAT_FINAL_ASSEMBLY)); |
84 | |||
85 | /* A[2] is a diagonal matrix */ | ||
86 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A[2])); |
87 |
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45 | PetscCall(MatSetSizes(A[2],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
88 |
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45 | PetscCall(MatSetFromOptions(A[2])); |
89 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&P[2])); |
90 |
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45 | PetscCall(MatSetSizes(P[2],PETSC_DECIDE,PETSC_DECIDE,N,N)); |
91 |
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45 | PetscCall(MatSetFromOptions(P[2])); |
92 | |||
93 |
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45 | PetscCall(MatGetOwnershipRange(A[2],&Istart,&Iend)); |
94 |
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5805 | for (II=Istart;II<Iend;II++) { |
95 |
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5760 | PetscCall(MatSetValue(A[2],II,II,(PetscReal)(II+1),INSERT_VALUES)); |
96 |
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5760 | PetscCall(MatSetValue(P[2],II,II,(PetscReal)(II+1),INSERT_VALUES)); |
97 | } | ||
98 |
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45 | PetscCall(MatAssemblyBegin(A[2],MAT_FINAL_ASSEMBLY)); |
99 |
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45 | PetscCall(MatAssemblyEnd(A[2],MAT_FINAL_ASSEMBLY)); |
100 |
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45 | PetscCall(MatAssemblyBegin(P[2],MAT_FINAL_ASSEMBLY)); |
101 |
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45 | PetscCall(MatAssemblyEnd(P[2],MAT_FINAL_ASSEMBLY)); |
102 | |||
103 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
104 | Create the eigensolver and set various options | ||
105 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
106 | |||
107 |
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45 | PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep)); |
108 |
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45 | PetscCall(PEPSetOperators(pep,3,A)); |
109 |
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45 | PetscCall(PEPSetProblemType(pep,PEP_HERMITIAN)); |
110 | |||
111 |
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45 | PetscCall(PEPGetST(pep,&st)); |
112 |
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45 | PetscCall(STSetType(st,STSINVERT)); |
113 |
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45 | PetscCall(STSetSplitPreconditioner(st,3,P,SUBSET_NONZERO_PATTERN)); |
114 | |||
115 |
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45 | PetscCall(PEPSetTarget(pep,-2.0)); |
116 |
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45 | PetscCall(PEPSetWhichEigenpairs(pep,PEP_TARGET_MAGNITUDE)); |
117 | |||
118 | /* | ||
119 | Set solver parameters at runtime | ||
120 | */ | ||
121 |
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45 | PetscCall(PEPSetFromOptions(pep)); |
122 | |||
123 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
124 | Solve the eigensystem, display solution and clean up | ||
125 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
126 | |||
127 |
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45 | PetscCall(PEPSolve(pep)); |
128 | /* show detailed info unless -terse option is given by user */ | ||
129 |
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45 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
130 |
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45 | if (terse) PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL)); |
131 | else { | ||
132 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
133 | ✗ | PetscCall(PEPConvergedReasonView(pep,PETSC_VIEWER_STDOUT_WORLD)); | |
134 | ✗ | PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,PETSC_VIEWER_STDOUT_WORLD)); | |
135 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
136 | } | ||
137 |
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45 | PetscCall(PEPDestroy(&pep)); |
138 |
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45 | PetscCall(MatDestroy(&A[0])); |
139 |
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45 | PetscCall(MatDestroy(&A[1])); |
140 |
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45 | PetscCall(MatDestroy(&A[2])); |
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45 | PetscCall(MatDestroy(&P[0])); |
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45 | PetscCall(MatDestroy(&P[1])); |
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45 | PetscCall(MatDestroy(&P[2])); |
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45 | PetscCall(SlepcFinalize()); |
145 | return 0; | ||
146 | } | ||
147 | |||
148 | /*TEST | ||
149 | |||
150 | testset: | ||
151 | args: -pep_nev 4 -pep_ncv 28 -n 12 -terse | ||
152 | output_file: output/ex50_1.out | ||
153 | requires: double | ||
154 | test: | ||
155 | suffix: 1 | ||
156 | args: -pep_type {{toar qarnoldi}} | ||
157 | test: | ||
158 | suffix: 1_linear | ||
159 | args: -pep_type linear -pep_general | ||
160 | |||
161 | testset: | ||
162 | args: -pep_all -n 12 -pep_type ciss -rg_type ellipse -rg_ellipse_center -1+1.5i -rg_ellipse_radius .3 -terse | ||
163 | output_file: output/ex50_2.out | ||
164 | requires: complex double | ||
165 | timeoutfactor: 2 | ||
166 | test: | ||
167 | suffix: 2 | ||
168 | test: | ||
169 | suffix: 2_par | ||
170 | nsize: 2 | ||
171 | args: -pep_ciss_partitions 2 | ||
172 | |||
173 | TEST*/ | ||
174 |