GCC Code Coverage Report

Directory: ./
File: src/pep/tutorials/nlevp/wiresaw.c
Date: 2025-12-10 04:20:18
Exec Total Coverage
Lines: 55 59 93.2%
Functions: 1 1 100.0%
Branches: 193 306 63.1%
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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 two 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 WIRESAW1 is a gyroscopic QEP from vibration analysis of a wiresaw,
19 where the parameter V represents the speed of the wire. When the
20 parameter eta is nonzero, then it turns into the WIRESAW2 problem
21 (with added viscous damping, e.g. eta=0.8).
22
23 [2] S. Wei and I. Kao, "Vibration analysis of wire and frequency
24 response in the modern wiresaw manufacturing process", J. Sound
25 Vib. 213(5):1383-1395, 2000.
26 */
27
28 static char help[] = "Vibration analysis of a wiresaw.\n\n"
29 "The command line options are:\n"
30 " -n <n> ... dimension of the matrices (default 10).\n"
31 " -v <value> ... velocity of the wire (default 0.01).\n"
32 " -eta <value> ... viscous damping (default 0.0).\n\n";
33
34 #include <slepcpep.h>
35
36 100 int main(int argc,char **argv)
37 {
38 100 Mat M,D,K,A[3]; /* problem matrices */
39 100 PEP pep; /* polynomial eigenproblem solver context */
40 100 PetscInt n=10,Istart,Iend,j,k;
41 100 PetscReal v=0.01,eta=0.0;
42 100 PetscBool terse;
43
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 100 PetscFunctionBeginUser;
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 100 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 100 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 100 PetscCall(PetscOptionsGetReal(NULL,NULL,"-v",&v,NULL));
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 100 PetscCall(PetscOptionsGetReal(NULL,NULL,"-eta",&eta,NULL));
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 100 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nVibration analysis of a wiresaw, n=%" PetscInt_FMT " v=%g eta=%g\n\n",n,(double)v,(double)eta));
51
52 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
53 Compute the matrices that define the eigensystem, (k^2*M+k*D+K)x=0
54 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
55
56 /* K is a diagonal matrix */
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 100 PetscCall(MatCreate(PETSC_COMM_WORLD,&K));
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 100 PetscCall(MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 100 PetscCall(MatSetFromOptions(K));
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 100 PetscCall(MatGetOwnershipRange(K,&Istart,&Iend));
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 1100 for (j=Istart;j<Iend;j++) PetscCall(MatSetValue(K,j,j,(j+1)*(j+1)*PETSC_PI*PETSC_PI*(1.0-v*v),INSERT_VALUES));
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 100 PetscCall(MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY));
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 100 PetscCall(MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY));
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 100 PetscCall(MatScale(K,0.5));
67
68 /* D is a tridiagonal */
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 100 PetscCall(MatCreate(PETSC_COMM_WORLD,&D));
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 100 PetscCall(MatSetSizes(D,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 100 PetscCall(MatSetFromOptions(D));
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 100 PetscCall(MatGetOwnershipRange(D,&Istart,&Iend));
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 1100 for (j=Istart;j<Iend;j++) {
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 11000 for (k=0;k<n;k++) {
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 10000 if ((j+k)%2) PetscCall(MatSetValue(D,j,k,8.0*(j+1)*(k+1)*v/((j+1)*(j+1)-(k+1)*(k+1)),INSERT_VALUES));
77 }
78 }
79
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 100 PetscCall(MatAssemblyBegin(D,MAT_FINAL_ASSEMBLY));
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 100 PetscCall(MatAssemblyEnd(D,MAT_FINAL_ASSEMBLY));
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 100 PetscCall(MatScale(D,0.5));
83
84 /* M is a diagonal matrix */
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 100 PetscCall(MatCreate(PETSC_COMM_WORLD,&M));
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 100 PetscCall(MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 100 PetscCall(MatSetFromOptions(M));
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 100 PetscCall(MatGetOwnershipRange(M,&Istart,&Iend));
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 1100 for (j=Istart;j<Iend;j++) PetscCall(MatSetValue(M,j,j,1.0,INSERT_VALUES));
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 100 PetscCall(MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY));
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 100 PetscCall(MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY));
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 100 PetscCall(MatScale(M,0.5));
93
94 /* add damping */
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 100 if (eta>0.0) {
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 50 PetscCall(MatAXPY(K,eta,D,DIFFERENT_NONZERO_PATTERN)); /* K = K + eta*D */
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 50 PetscCall(MatShift(D,eta)); /* D = D + eta*eye(n) */
98 }
99
100 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
101 Create the eigensolver and solve the problem
102 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
103
104
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 100 PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep));
105 100 A[0] = K; A[1] = D; A[2] = M;
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 100 PetscCall(PEPSetOperators(pep,3,A));
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 100 if (eta==0.0) PetscCall(PEPSetProblemType(pep,PEP_GYROSCOPIC));
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 50 else PetscCall(PEPSetProblemType(pep,PEP_GENERAL));
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 100 PetscCall(PEPSetFromOptions(pep));
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 100 PetscCall(PEPSolve(pep));
111
112 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
113 Display solution and clean up
114 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
115
116 /* show detailed info unless -terse option is given by user */
117
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 100 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 100 if (terse) PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL));
119 else {
120 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
121 ✗ PetscCall(PEPConvergedReasonView(pep,PETSC_VIEWER_STDOUT_WORLD));
122 ✗ PetscCall(PEPErrorView(pep,PEP_ERROR_BACKWARD,PETSC_VIEWER_STDOUT_WORLD));
123 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
124 }
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 100 PetscCall(PEPDestroy(&pep));
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 100 PetscCall(MatDestroy(&M));
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 100 PetscCall(MatDestroy(&D));
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 100 PetscCall(MatDestroy(&K));
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 100 PetscCall(SlepcFinalize());
130 return 0;
131 }
132
133 /*TEST
134
135 testset:
136 args: -pep_nev 4 -terse
137 requires: double
138 output_file: output/wiresaw_1.out
139 test:
140 suffix: 1
141 args: -pep_type {{toar qarnoldi}}
142 test:
143 suffix: 1_linear_h1
144 args: -pep_type linear -pep_linear_explicitmatrix -pep_linear_linearization 1,0 -pep_linear_st_ksp_type bcgs -pep_linear_st_pc_type kaczmarz
145 test:
146 suffix: 1_linear_h2
147 args: -pep_type linear -pep_linear_explicitmatrix -pep_linear_linearization 0,1
148 test:
149 suffix: 1_linear_other
150 args: -pep_type linear -pep_linear_explicitmatrix -pep_linear_linearization .3,.7
151
152 testset:
153 args: -pep_nev 4 -eta 0.1 -terse
154 requires: double
155 output_file: output/wiresaw_2.out
156 test:
157 suffix: 2
158 args: -pep_type {{toar qarnoldi}}
159 test:
160 suffix: 2_linear
161 args: -pep_type linear -pep_linear_explicitmatrix -pep_linear_linearization {{1,0 0,1}} -pep_linear_st_ksp_type bcgs -pep_linear_st_pc_type kaczmarz
162 test:
163 suffix: 2_linear_other
164 args: -pep_type linear -pep_linear_explicitmatrix -pep_linear_linearization .3,.7
165
166 TEST*/
167