GCC Code Coverage Report

Directory: ./
File: src/eps/tutorials/ex13.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 48 52 92.3%
Functions: 1 1 100.0%
Branches: 163 264 61.7%
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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 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 96 int main(int argc,char **argv)
23 {
24 96 Mat A,B; /* matrices */
25 96 EPS eps; /* eigenproblem solver context */
26 96 EPSType type;
27 96 PetscInt N,n=10,m,Istart,Iend,II,nev,i,j,nulldim=0;
28 96 PetscBool flag,terse;
29
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 96 PetscFunctionBeginUser;
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 96 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 96 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 96 PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag));
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 96 if (!flag) m=n;
36 96 N = n*m;
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 96 PetscCall(PetscOptionsGetInt(NULL,NULL,"-nulldim",&nulldim,NULL));
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 96 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
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 96 PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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 96 PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N));
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 96 PetscCall(MatSetFromOptions(A));
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 96 PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
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 96 PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N));
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 96 PetscCall(MatSetFromOptions(B));
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 96 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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 248816 for (II=Istart;II<Iend;II++) {
54 248720 i = II/n; j = II-i*n;
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 248720 if (i>0) PetscCall(MatSetValue(A,II,II-n,-1.0,INSERT_VALUES));
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 248720 if (i<m-1) PetscCall(MatSetValue(A,II,II+n,-1.0,INSERT_VALUES));
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 248720 if (j>0) PetscCall(MatSetValue(A,II,II-1,-1.0,INSERT_VALUES));
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 248720 if (j<n-1) PetscCall(MatSetValue(A,II,II+1,-1.0,INSERT_VALUES));
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 248720 PetscCall(MatSetValue(A,II,II,4.0,INSERT_VALUES));
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 248720 if (II>=nulldim) PetscCall(MatSetValue(B,II,II,4.0,INSERT_VALUES));
61 }
62
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 96 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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 96 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
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 96 PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
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 96 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
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 96 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
76
77 /*
78 Set operators. In this case, it is a generalized eigenvalue problem
79 */
80
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 96 PetscCall(EPSSetOperators(eps,A,B));
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 96 PetscCall(EPSSetProblemType(eps,EPS_GHEP));
82
83 /*
84 Set solver parameters at runtime
85 */
86
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 96 PetscCall(EPSSetFromOptions(eps));
87
88 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
89 Solve the eigensystem
90 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
91
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 96 PetscCall(EPSSolve(eps));
93
94 /*
95 Optional: Get some information from the solver and display it
96 */
97
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 96 PetscCall(EPSGetType(eps,&type));
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 96 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type));
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 96 PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
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 96 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
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 96 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 96 if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
109 else {
110 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
111 ✗ PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD));
112 ✗ PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
113 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
114 }
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 96 PetscCall(EPSDestroy(&eps));
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 96 PetscCall(MatDestroy(&A));
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 96 PetscCall(MatDestroy(&B));
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 96 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*/
156