Line data Source code
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 Symmetric eigenproblem.\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 except nulldim zeros\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"
18 : " -nulldim <k>, where <k> = dimension of the nullspace of B.\n\n";
19 :
20 : #include <slepceps.h>
21 :
22 10 : int main(int argc,char **argv)
23 : {
24 10 : Mat A,B; /* matrices */
25 10 : EPS eps; /* eigenproblem solver context */
26 10 : EPSType type;
27 10 : PetscInt N,n=10,m,Istart,Iend,II,nev,i,j,nulldim=0;
28 10 : PetscBool flag,terse;
29 :
30 10 : PetscFunctionBeginUser;
31 10 : PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
32 :
33 10 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
34 10 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
35 10 : if (!flag) m=n;
36 10 : N = n*m;
37 10 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-nulldim",&nulldim,NULL));
38 10 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Symmetric Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid), null(B)=%" PetscInt_FMT "\n\n",N,n,m,nulldim));
39 :
40 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
41 : Compute the matrices that define the eigensystem, Ax=kBx
42 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
43 :
44 10 : PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
45 10 : PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
46 10 : PetscCall(MatSetFromOptions(A));
47 :
48 10 : PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
49 10 : PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N));
50 10 : PetscCall(MatSetFromOptions(B));
51 :
52 10 : PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
53 24930 : for (II=Istart;II<Iend;II++) {
54 24920 : i = II/n; j = II-i*n;
55 24920 : if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
56 24920 : if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
57 24920 : if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
58 24920 : if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
59 24920 : PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
60 24920 : if (II>=nulldim) PetscCall(MatSetValue(B,II,II,4.0,INSERT_VALUES));
61 : }
62 :
63 10 : PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
64 10 : PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
65 10 : PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
66 10 : PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
67 :
68 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
69 : Create the eigensolver and set various options
70 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
71 :
72 : /*
73 : Create eigensolver context
74 : */
75 10 : PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
76 :
77 : /*
78 : Set operators. In this case, it is a generalized eigenvalue problem
79 : */
80 10 : PetscCall(EPSSetOperators(eps,A,B));
81 10 : PetscCall(EPSSetProblemType(eps,EPS_GHEP));
82 :
83 : /*
84 : Set solver parameters at runtime
85 : */
86 10 : PetscCall(EPSSetFromOptions(eps));
87 :
88 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
89 : Solve the eigensystem
90 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
91 :
92 10 : PetscCall(EPSSolve(eps));
93 :
94 : /*
95 : Optional: Get some information from the solver and display it
96 : */
97 10 : PetscCall(EPSGetType(eps,&type));
98 10 : PetscCall(PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type));
99 10 : PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
100 10 : PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
101 :
102 : /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
103 : Display solution and clean up
104 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
105 :
106 : /* show detailed info unless -terse option is given by user */
107 10 : PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
108 10 : if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
109 : else {
110 0 : PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
111 0 : PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD));
112 0 : PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
113 0 : PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
114 : }
115 10 : PetscCall(EPSDestroy(&eps));
116 10 : PetscCall(MatDestroy(&A));
117 10 : PetscCall(MatDestroy(&B));
118 10 : PetscCall(SlepcFinalize());
119 : return 0;
120 : }
121 :
122 : /*TEST
123 :
124 : test:
125 : suffix: 1
126 : args: -eps_nev 4 -eps_ncv 22 -eps_tol 1e-5 -st_type sinvert -terse
127 : filter: grep -v Solution
128 :
129 : test:
130 : suffix: 2
131 : args: -n 110 -nulldim 6 -eps_nev 4 -eps_ncv 18 -eps_tol 1e-5 -eps_purify 1 -st_type sinvert -st_matstructure {{different subset}} -terse
132 : requires: !single
133 :
134 : test:
135 : suffix: 3
136 : args: -eps_nev 3 -eps_tol 1e-5 -mat_type sbaij -st_type sinvert -terse
137 :
138 : test:
139 : suffix: 4
140 : args: -eps_nev 4 -eps_tol 1e-4 -eps_smallest_real -eps_type {{gd lobpcg rqcg}} -terse
141 : output_file: output/ex13_1.out
142 : filter: grep -v Solution
143 :
144 : test:
145 : suffix: 5_primme
146 : args: -n 10 -m 12 -eps_nev 4 -eps_target 0.9 -eps_max_it 15000 -eps_type primme -st_pc_type jacobi -terse
147 : requires: primme defined(SLEPC_HAVE_PRIMME3) !single
148 :
149 : test:
150 : suffix: 6
151 : nsize: 2
152 : args: -eps_type ciss -rg_type ellipse -rg_ellipse_center 1.4 -rg_ellipse_radius 0.1 -eps_ciss_partitions 2 -terse
153 : requires: !single
154 :
155 : TEST*/
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