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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[] = "Eigenproblem for the 1-D Laplacian with constraints.\n\n" | ||
12 | "Based on ex1.\n" | ||
13 | "The command line options are:\n" | ||
14 | " -n <n>, where <n> = number of grid subdivisions = matrix dimension.\n\n"; | ||
15 | |||
16 | #include <slepceps.h> | ||
17 | |||
18 | 14 | int main(int argc,char **argv) | |
19 | { | ||
20 | 14 | Mat A; | |
21 | 14 | EPS eps; | |
22 | 14 | EPSType type; | |
23 | 14 | Vec *vi=NULL,*vc=NULL,t; | |
24 | 14 | PetscInt n=30,nev=4,i,j,Istart,Iend,nini=0,ncon=0,bs; | |
25 | 14 | PetscReal alpha,beta,restart; | |
26 | 14 | PetscBool flg,lock; | |
27 | |||
28 |
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14 | PetscFunctionBeginUser; |
29 |
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14 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
30 |
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14 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
31 |
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14 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-nini",&nini,NULL)); |
32 |
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14 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-ncon",&ncon,NULL)); |
33 |
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14 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian Eigenproblem, n=%" PetscInt_FMT " nini=%" PetscInt_FMT " ncon=%" PetscInt_FMT "\n\n",n,nini,ncon)); |
34 | |||
35 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
36 | Compute the operator matrix that defines the eigensystem, Ax=kx | ||
37 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
38 | |||
39 |
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14 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
40 |
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14 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
41 |
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14 | PetscCall(MatSetFromOptions(A)); |
42 | |||
43 |
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14 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
44 |
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434 | for (i=Istart;i<Iend;i++) { |
45 |
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420 | if (i>0) PetscCall(MatSetValue(A,i,i-1,-1.0,INSERT_VALUES)); |
46 |
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420 | if (i<n-1) PetscCall(MatSetValue(A,i,i+1,-1.0,INSERT_VALUES)); |
47 |
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420 | PetscCall(MatSetValue(A,i,i,2.0,INSERT_VALUES)); |
48 | } | ||
49 |
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14 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
50 |
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14 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
51 | |||
52 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
53 | Create the eigensolver and set various options | ||
54 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
55 |
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14 | PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps)); |
56 |
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14 | PetscCall(EPSSetOperators(eps,A,NULL)); |
57 |
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14 | PetscCall(EPSSetProblemType(eps,EPS_HEP)); |
58 |
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14 | PetscCall(EPSSetType(eps,EPSLOBPCG)); |
59 |
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14 | PetscCall(EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL)); |
60 |
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14 | PetscCall(EPSSetConvergenceTest(eps,EPS_CONV_ABS)); |
61 |
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14 | PetscCall(EPSSetDimensions(eps,nev,PETSC_DETERMINE,PETSC_DETERMINE)); |
62 |
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14 | PetscCall(EPSLOBPCGSetBlockSize(eps,nev)); |
63 |
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14 | PetscCall(EPSLOBPCGSetRestart(eps,0.7)); |
64 |
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14 | PetscCall(EPSSetTolerances(eps,1e-8,1200)); |
65 |
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14 | PetscCall(EPSSetFromOptions(eps)); |
66 | |||
67 |
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14 | PetscCall(MatCreateVecs(A,&t,NULL)); |
68 |
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14 | if (nini) { |
69 | ✗ | PetscCall(VecDuplicateVecs(t,nini,&vi)); | |
70 | ✗ | for (i=0;i<nini;i++) PetscCall(VecSetRandom(vi[i],NULL)); | |
71 | ✗ | PetscCall(EPSSetInitialSpace(eps,nini,vi)); | |
72 | } | ||
73 |
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14 | if (ncon) { /* constraints are exact eigenvectors of lowest eigenvalues */ |
74 | 14 | alpha = PETSC_PI/(n+1); | |
75 | 14 | beta = PetscSqrtReal(2.0/(n+1)); | |
76 |
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14 | PetscCall(VecDuplicateVecs(t,ncon,&vc)); |
77 |
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42 | for (i=0;i<ncon;i++) { |
78 |
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868 | for (j=0;j<n;j++) PetscCall(VecSetValue(vc[i],j,PetscSinReal(alpha*(j+1)*(i+1))*beta,INSERT_VALUES)); |
79 |
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28 | PetscCall(VecAssemblyBegin(vc[i])); |
80 |
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28 | PetscCall(VecAssemblyEnd(vc[i])); |
81 | } | ||
82 |
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14 | PetscCall(EPSSetDeflationSpace(eps,ncon,vc)); |
83 | } | ||
84 | |||
85 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
86 | Solve the eigensystem | ||
87 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
88 | |||
89 |
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14 | PetscCall(EPSSolve(eps)); |
90 |
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14 | PetscCall(EPSGetType(eps,&type)); |
91 |
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14 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n",type)); |
92 |
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14 | PetscCall(PetscObjectTypeCompare((PetscObject)eps,EPSLOBPCG,&flg)); |
93 |
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14 | if (flg) { |
94 |
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14 | PetscCall(EPSLOBPCGGetLocking(eps,&lock)); |
95 |
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14 | if (lock) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using soft locking\n")); |
96 |
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14 | PetscCall(EPSLOBPCGGetRestart(eps,&restart)); |
97 |
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14 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," LOBPCG Restart parameter=%.4g\n",(double)restart)); |
98 |
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14 | PetscCall(EPSLOBPCGGetBlockSize(eps,&bs)); |
99 |
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14 | PetscCall(PetscPrintf(PETSC_COMM_WORLD," LOBPCG Block size=%" PetscInt_FMT "\n",bs)); |
100 | } | ||
101 | |||
102 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
103 | Display solution and clean up | ||
104 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
105 | |||
106 |
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14 | PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL)); |
107 |
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14 | PetscCall(EPSDestroy(&eps)); |
108 |
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14 | PetscCall(MatDestroy(&A)); |
109 |
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14 | PetscCall(VecDestroyVecs(nini,&vi)); |
110 |
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14 | PetscCall(VecDestroyVecs(ncon,&vc)); |
111 |
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14 | PetscCall(VecDestroy(&t)); |
112 |
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14 | PetscCall(SlepcFinalize()); |
113 | return 0; | ||
114 | } | ||
115 | |||
116 | /*TEST | ||
117 | |||
118 | testset: | ||
119 | args: -ncon 2 | ||
120 | output_file: output/test24_1.out | ||
121 | test: | ||
122 | suffix: 1 | ||
123 | requires: !single | ||
124 | test: | ||
125 | suffix: 1_cuda | ||
126 | args: -mat_type aijcusparse | ||
127 | requires: cuda !single | ||
128 | test: | ||
129 | suffix: 1_hip | ||
130 | args: -mat_type aijhipsparse | ||
131 | requires: hip !single | ||
132 | |||
133 | TEST*/ | ||
134 |