GCC Code Coverage Report

Directory: ./
File: src/pep/tutorials/nlevp/acoustic_wave_2d.c
Date: 2025-12-10 04:20:18
Exec Total Coverage
Lines: 59 63 93.7%
Functions: 1 1 100.0%
Branches: 197 308 64.0%
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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 acoustic_wave_2d problem is a 2-D version of acoustic_wave_1d, also
19 scaled for real arithmetic.
20 */
21
22 static char help[] = "Quadratic eigenproblem from an acoustics application (2-D).\n\n"
23 "The command line options are:\n"
24 " -m <m>, where <m> = grid size, the matrices have dimension m*(m-1).\n"
25 " -z <z>, where <z> = impedance (default 1.0).\n\n";
26
27 #include <slepcpep.h>
28
29 60 int main(int argc,char **argv)
30 {
31 60 Mat M,C,K,A[3]; /* problem matrices */
32 60 PEP pep; /* polynomial eigenproblem solver context */
33 60 PetscInt m=6,n,II,Istart,Iend,i,j;
34 60 PetscScalar z=1.0;
35 60 PetscReal h;
36 60 char str[50];
37 60 PetscBool terse;
38
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 60 PetscFunctionBeginUser;
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 60 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 60 PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL));
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 60 PetscCheck(m>1,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"m must be at least 2");
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 60 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-z",&z,NULL));
45 60 h = 1.0/m;
46 60 n = m*(m-1);
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 60 PetscCall(SlepcSNPrintfScalar(str,sizeof(str),z,PETSC_FALSE));
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 60 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nAcoustic wave 2-D, n=%" PetscInt_FMT " (m=%" PetscInt_FMT "), z=%s\n\n",n,m,str));
49
50 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
51 Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0
52 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
53
54 /* K has a pattern similar to the 2D Laplacian */
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 60 PetscCall(MatCreate(PETSC_COMM_WORLD,&K));
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 60 PetscCall(MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 60 PetscCall(MatSetFromOptions(K));
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 60 PetscCall(MatGetOwnershipRange(K,&Istart,&Iend));
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 1860 for (II=Istart;II<Iend;II++) {
61 1800 i = II/m; j = II-i*m;
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 3000 if (i>0) PetscCall(MatSetValue(K,II,II-m,(j==m-1)?-0.5:-1.0,INSERT_VALUES));
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 3000 if (i<m-2) PetscCall(MatSetValue(K,II,II+m,(j==m-1)?-0.5:-1.0,INSERT_VALUES));
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 1800 if (j>0) PetscCall(MatSetValue(K,II,II-1,-1.0,INSERT_VALUES));
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 1800 if (j<m-1) PetscCall(MatSetValue(K,II,II+1,-1.0,INSERT_VALUES));
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 3300 PetscCall(MatSetValue(K,II,II,(j==m-1)?2.0:4.0,INSERT_VALUES));
67 }
68
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 60 PetscCall(MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY));
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 60 PetscCall(MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY));
71
72 /* C is the zero matrix except for a few nonzero elements on the diagonal */
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 60 PetscCall(MatCreate(PETSC_COMM_WORLD,&C));
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 60 PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 60 PetscCall(MatSetFromOptions(C));
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 60 PetscCall(MatGetOwnershipRange(C,&Istart,&Iend));
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 1860 for (i=Istart;i<Iend;i++) {
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 1800 if (i%m==m-1) PetscCall(MatSetValue(C,i,i,-2*PETSC_PI*h/z,INSERT_VALUES));
80 }
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 60 PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY));
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 60 PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY));
83
84 /* M is a diagonal matrix */
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 60 PetscCall(MatCreate(PETSC_COMM_WORLD,&M));
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 60 PetscCall(MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 60 PetscCall(MatSetFromOptions(M));
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 60 PetscCall(MatGetOwnershipRange(M,&Istart,&Iend));
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 1860 for (i=Istart;i<Iend;i++) {
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 1800 if (i%m==m-1) PetscCall(MatSetValue(M,i,i,2*PETSC_PI*PETSC_PI*h*h,INSERT_VALUES));
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 1800 else PetscCall(MatSetValue(M,i,i,4*PETSC_PI*PETSC_PI*h*h,INSERT_VALUES));
93 }
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 60 PetscCall(MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY));
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 60 PetscCall(MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY));
96
97 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
98 Create the eigensolver and solve the problem
99 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
100
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 60 PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep));
102 60 A[0] = K; A[1] = C; A[2] = M;
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 60 PetscCall(PEPSetOperators(pep,3,A));
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 60 PetscCall(PEPSetFromOptions(pep));
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 60 PetscCall(PEPSolve(pep));
106
107 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
108 Display solution and clean up
109 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
110
111 /* show detailed info unless -terse option is given by user */
112
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 60 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 60 if (terse) PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL));
114 else {
115 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
116 ✗ PetscCall(PEPConvergedReasonView(pep,PETSC_VIEWER_STDOUT_WORLD));
117 ✗ PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,PETSC_VIEWER_STDOUT_WORLD));
118 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
119 }
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 60 PetscCall(PEPDestroy(&pep));
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 60 PetscCall(MatDestroy(&M));
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 60 PetscCall(MatDestroy(&C));
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 60 PetscCall(MatDestroy(&K));
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 60 PetscCall(SlepcFinalize());
125 return 0;
126 }
127
128 /*TEST
129
130 testset:
131 args: -pep_nev 2 -pep_ncv 18 -terse
132 output_file: output/acoustic_wave_2d_1.out
133 filter: sed -e "s/2.60936i/2.60937i/g" | sed -e "s/2.60938i/2.60937i/g"
134 test:
135 suffix: 1
136 args: -pep_type {{qarnoldi linear}}
137 test:
138 suffix: 1_toar
139 args: -pep_type toar -pep_toar_locking 0
140
141 testset:
142 args: -pep_nev 2 -pep_ncv 18 -pep_type stoar -pep_hermitian -pep_scale scalar -st_type sinvert -terse
143 output_file: output/acoustic_wave_2d_2.out
144 test:
145 suffix: 2
146 test:
147 suffix: 2_lin_b
148 args: -pep_stoar_linearization 0,1
149 test:
150 suffix: 2_lin_ab
151 args: -pep_stoar_linearization 0.1,0.9
152
153 TEST*/
154