GCC Code Coverage Report


Directory: ./
File: src/nep/tests/test9.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 61 65 93.8%
Functions: 1 1 100.0%
Branches: 202 314 64.3%

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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 This example implements one of the problems found at
12 NLEVP: A Collection of Nonlinear Eigenvalue Problems,
13 The University of Manchester.
14 The details of the collection can be found at:
15 [1] T. Betcke et al., "NLEVP: A Collection of Nonlinear Eigenvalue
16 Problems", ACM Trans. Math. Software 39(2), Article 7, 2013.
17
18 The loaded_string problem is a rational eigenvalue problem for the
19 finite element model of a loaded vibrating string.
20 */
21
22 static char help[] = "Test the NLEIGS solver with FNCOMBINE.\n\n"
23 "This is based on loaded_string from the NLEVP collection.\n"
24 "The command line options are:\n"
25 " -n <n>, dimension of the matrices.\n"
26 " -kappa <kappa>, stiffness of elastic spring.\n"
27 " -mass <m>, mass of the attached load.\n\n";
28
29 #include <slepcnep.h>
30
31 #define NMAT 3
32
33 10 int main(int argc,char **argv)
34 {
35 10 Mat A[NMAT]; /* problem matrices */
36 10 FN f[NMAT],g; /* functions to define the nonlinear operator */
37 10 NEP nep; /* nonlinear eigensolver context */
38 10 PetscInt n=100,Istart,Iend,i;
39 10 PetscReal kappa=1.0,m=1.0;
40 10 PetscScalar sigma,numer[2],denom[2];
41 10 PetscBool terse;
42
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10 PetscFunctionBeginUser;
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10 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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10 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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10 PetscCall(PetscOptionsGetReal(NULL,NULL,"-kappa",&kappa,NULL));
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10 PetscCall(PetscOptionsGetReal(NULL,NULL,"-mass",&m,NULL));
49 10 sigma = kappa/m;
50
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Loaded vibrating string, n=%" PetscInt_FMT " kappa=%g m=%g\n\n",n,(double)kappa,(double)m));
51
52 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
53 Build the problem matrices
54 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
55
56 /* initialize matrices */
57
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40 for (i=0;i<NMAT;i++) {
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30 PetscCall(MatCreate(PETSC_COMM_WORLD,&A[i]));
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30 PetscCall(MatSetSizes(A[i],PETSC_DECIDE,PETSC_DECIDE,n,n));
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30 PetscCall(MatSetFromOptions(A[i]));
61 }
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10 PetscCall(MatGetOwnershipRange(A[0],&Istart,&Iend));
63
64 /* A0 */
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1010 for (i=Istart;i<Iend;i++) {
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1000 PetscCall(MatSetValue(A[0],i,i,(i==n-1)?1.0*n:2.0*n,INSERT_VALUES));
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1000 if (i>0) PetscCall(MatSetValue(A[0],i,i-1,-1.0*n,INSERT_VALUES));
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1000 if (i<n-1) PetscCall(MatSetValue(A[0],i,i+1,-1.0*n,INSERT_VALUES));
69 }
70
71 /* A1 */
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1010 for (i=Istart;i<Iend;i++) {
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1000 PetscCall(MatSetValue(A[1],i,i,(i==n-1)?2.0/(6.0*n):4.0/(6.0*n),INSERT_VALUES));
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1000 if (i>0) PetscCall(MatSetValue(A[1],i,i-1,1.0/(6.0*n),INSERT_VALUES));
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1000 if (i<n-1) PetscCall(MatSetValue(A[1],i,i+1,1.0/(6.0*n),INSERT_VALUES));
76 }
77
78 /* A2 */
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10 if (Istart<=n-1 && n-1<Iend) PetscCall(MatSetValue(A[2],n-1,n-1,kappa,INSERT_VALUES));
80
81 /* assemble matrices */
82
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40 for (i=0;i<NMAT;i++) PetscCall(MatAssemblyBegin(A[i],MAT_FINAL_ASSEMBLY));
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40 for (i=0;i<NMAT;i++) PetscCall(MatAssemblyEnd(A[i],MAT_FINAL_ASSEMBLY));
84
85 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
86 Create the problem functions
87 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
88
89 /* f1=1 */
90
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10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f[0]));
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10 PetscCall(FNSetType(f[0],FNRATIONAL));
92 10 numer[0] = 1.0;
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10 PetscCall(FNRationalSetNumerator(f[0],1,numer));
94
95 /* f2=-lambda */
96
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10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f[1]));
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10 PetscCall(FNSetType(f[1],FNRATIONAL));
98 10 numer[0] = -1.0; numer[1] = 0.0;
99
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10 PetscCall(FNRationalSetNumerator(f[1],2,numer));
100
101 /* f3=lambda/(lambda-sigma)=1+sigma/(lambda-sigma) */
102
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10 PetscCall(FNCreate(PETSC_COMM_WORLD,&g));
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10 PetscCall(FNSetType(g,FNRATIONAL));
104 10 numer[0] = sigma;
105 10 denom[0] = 1.0; denom[1] = -sigma;
106
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10 PetscCall(FNRationalSetNumerator(g,1,numer));
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10 PetscCall(FNRationalSetDenominator(g,2,denom));
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10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f[2]));
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10 PetscCall(FNSetType(f[2],FNCOMBINE));
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10 PetscCall(FNCombineSetChildren(f[2],FN_COMBINE_ADD,f[0],g));
111
112 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
113 Create the eigensolver and solve the problem
114 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
115
116
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10 PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep));
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10 PetscCall(NEPSetSplitOperator(nep,3,A,f,SUBSET_NONZERO_PATTERN));
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10 PetscCall(NEPSetProblemType(nep,NEP_RATIONAL));
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10 PetscCall(NEPSetFromOptions(nep));
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10 PetscCall(NEPSolve(nep));
121
122 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
123 Display solution and clean up
124 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
125
126 /* show detailed info unless -terse option is given by user */
127
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10 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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10 if (terse) PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,NULL));
129 else {
130 PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
131 PetscCall(NEPConvergedReasonView(nep,PETSC_VIEWER_STDOUT_WORLD));
132 PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
133 PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
134 }
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10 PetscCall(NEPDestroy(&nep));
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40 for (i=0;i<NMAT;i++) {
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30 PetscCall(MatDestroy(&A[i]));
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30 PetscCall(FNDestroy(&f[i]));
139 }
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10 PetscCall(FNDestroy(&g));
141
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10 PetscCall(SlepcFinalize());
142 return 0;
143 }
144
145 /*TEST
146
147 test:
148 suffix: 1
149 args: -nep_type nleigs -rg_type interval -rg_interval_endpoints 4,700,-.1,.1 -nep_nev 8 -nep_target 5 -terse
150 filter: sed -e "s/[+-]0\.0*i//g"
151 requires: !single
152
153 TEST*/
154