GCC Code Coverage Report


Directory: ./
File: src/eps/tests/test37.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 59 59 100.0%
Functions: 1 1 100.0%
Branches: 166 248 66.9%

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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[] = "Tests solving an eigenproblem defined with MatNest.\n\n"
12 "Based on ex9.\n"
13 "The command line options are:\n"
14 " -n <n>, where <n> = block dimension of the 2x2 block matrix.\n"
15 " -L <L>, where <L> = bifurcation parameter.\n"
16 " -alpha <alpha>, -beta <beta>, -delta1 <delta1>, -delta2 <delta2>,\n"
17 " where <alpha> <beta> <delta1> <delta2> = model parameters.\n\n";
18
19 #include <slepceps.h>
20
21 /*
22 This example computes the eigenvalues with largest real part of the
23 following matrix
24
25 A = [ tau1*T+(beta-1)*I alpha^2*I
26 -beta*I tau2*T-alpha^2*I ],
27
28 where
29
30 T = tridiag{1,-2,1}
31 h = 1/(n+1)
32 tau1 = delta1/(h*L)^2
33 tau2 = delta2/(h*L)^2
34 */
35
36 10 int main(int argc,char **argv)
37 {
38 10 EPS eps;
39 10 Mat A,T1,T2,D1,D2,mats[4];
40 10 PetscScalar alpha,beta,tau1,tau2,delta1,delta2,L,h;
41 10 PetscInt N=30,i,Istart,Iend;
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(PetscPrintf(PETSC_COMM_WORLD,"\nBrusselator wave model, n=%" PetscInt_FMT "\n\n",N));
47
48 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
49 Generate the matrix
50 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
51
52 10 alpha = 2.0;
53 10 beta = 5.45;
54 10 delta1 = 0.008;
55 10 delta2 = 0.004;
56 10 L = 0.51302;
57
58
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10 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-L",&L,NULL));
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10 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-alpha",&alpha,NULL));
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10 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-beta",&beta,NULL));
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10 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-delta1",&delta1,NULL));
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10 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-delta2",&delta2,NULL));
63
64 10 h = 1.0 / (PetscReal)(N+1);
65 10 tau1 = delta1 / ((h*L)*(h*L));
66 10 tau2 = delta2 / ((h*L)*(h*L));
67
68 /* Create matrices T1, T2 */
69
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10 PetscCall(MatCreate(PETSC_COMM_WORLD,&T1));
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10 PetscCall(MatSetSizes(T1,PETSC_DECIDE,PETSC_DECIDE,N,N));
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10 PetscCall(MatSetFromOptions(T1));
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10 PetscCall(MatGetOwnershipRange(T1,&Istart,&Iend));
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310 for (i=Istart;i<Iend;i++) {
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300 if (i>0) PetscCall(MatSetValue(T1,i,i-1,1.0,INSERT_VALUES));
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300 if (i<N-1) PetscCall(MatSetValue(T1,i,i+1,1.0,INSERT_VALUES));
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300 PetscCall(MatSetValue(T1,i,i,-2.0,INSERT_VALUES));
77 }
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10 PetscCall(MatAssemblyBegin(T1,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(T1,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatDuplicate(T1,MAT_COPY_VALUES,&T2));
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10 PetscCall(MatScale(T1,tau1));
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10 PetscCall(MatShift(T1,beta-1.0));
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10 PetscCall(MatScale(T2,tau2));
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10 PetscCall(MatShift(T2,-alpha*alpha));
86
87 /* Create matrices D1, D2 */
88
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10 PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,N,N,alpha*alpha,&D1));
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10 PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,N,N,-beta,&D2));
90
91 /* Create the nest matrix */
92 10 mats[0] = T1;
93 10 mats[1] = D1;
94 10 mats[2] = D2;
95 10 mats[3] = T2;
96
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10 PetscCall(MatCreateNest(PETSC_COMM_WORLD,2,NULL,2,NULL,mats,&A));
97
98 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
99 Create the eigensolver and solve the problem
100 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
101
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10 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
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10 PetscCall(EPSSetOperators(eps,A,NULL));
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10 PetscCall(EPSSetProblemType(eps,EPS_NHEP));
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10 PetscCall(EPSSetWhichEigenpairs(eps,EPS_LARGEST_REAL));
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10 PetscCall(EPSSetTrueResidual(eps,PETSC_FALSE));
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10 PetscCall(EPSSetFromOptions(eps));
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10 PetscCall(EPSSolve(eps));
109
110 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
111 Display solution and clean up
112 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
113
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10 PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
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10 PetscCall(EPSDestroy(&eps));
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10 PetscCall(MatDestroy(&A));
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10 PetscCall(MatDestroy(&T1));
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10 PetscCall(MatDestroy(&T2));
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10 PetscCall(MatDestroy(&D1));
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10 PetscCall(MatDestroy(&D2));
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10 PetscCall(SlepcFinalize());
122 return 0;
123 }
124
125 /*TEST
126
127 test:
128 suffix: 1
129 args: -eps_nev 4
130 requires: !single
131 filter: sed -e "s/0.00019-2.13938i, 0.00019+2.13938i/0.00019+2.13938i, 0.00019-2.13938i/" | sed -e "s/-0.67192-2.52712i, -0.67192+2.52712i/-0.67192+2.52712i, -0.67192-2.52712i/"
132
133 TEST*/
134