GCC Code Coverage Report

Directory: ./
File: src/eps/tutorials/ex44.c
Date: 2025-12-10 04:20:18
Exec Total Coverage
Lines: 63 68 92.6%
Functions: 1 1 100.0%
Branches: 183 300 61.0%
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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 static char help[] = "Compute rightmost eigenvalues with Lyapunov inverse iteration.\n\n"
12 "Loads matrix from a file or builds the same problem as ex36.c (with fixed parameters).\n\n"
13 "The command line options are:\n"
14 " -file <filename>, where <filename> = matrix file in PETSc binary form.\n"
15 " -shift <sigma>, shift to make the matrix stable.\n"
16 " -n <n>, block dimension of the 2x2 block matrix (if matrix is generated).\n\n";
17
18 #include <slepceps.h>
19
20 50 int main(int argc,char **argv)
21 {
22 50 Mat A; /* operator matrix */
23 50 EPS eps; /* eigenproblem solver context */
24 50 EPSType type;
25 50 PetscScalar alpha,beta,tau1,tau2,delta1,delta2,L,h,sigma=0.0;
26 50 PetscInt n=30,i,Istart,Iend,nev;
27 50 char filename[PETSC_MAX_PATH_LEN];
28 50 PetscViewer viewer;
29 50 PetscBool flg,terse;
30
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 50 PetscFunctionBeginUser;
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 50 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 50 PetscCall(PetscOptionsGetString(NULL,NULL,"-file",filename,sizeof(filename),&flg));
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 50 if (flg) {
36
37 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
38 Load the matrix from file
39 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
40
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nEigenproblem stored in file.\n\n"));
41 #if defined(PETSC_USE_COMPLEX)
42 ✗ PetscCall(PetscPrintf(PETSC_COMM_WORLD," Reading COMPLEX matrix from a binary file...\n"));
43 #else
44
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Reading REAL matrix from a binary file...\n"));
45 #endif
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 10 PetscCall(PetscViewerBinaryOpen(PETSC_COMM_WORLD,filename,FILE_MODE_READ,&viewer));
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 10 PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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 10 PetscCall(MatSetFromOptions(A));
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 10 PetscCall(MatLoad(A,viewer));
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 10 PetscCall(PetscViewerDestroy(&viewer));
51
52 } else {
53
54 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
55 Generate Brusselator matrix
56 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
57
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 40 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 40 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nBrusselator wave model, n=%" PetscInt_FMT "\n\n",n));
59
60 40 alpha = 2.0;
61 40 beta = 5.45;
62 40 delta1 = 0.008;
63 40 delta2 = 0.004;
64 40 L = 0.51302;
65
66 40 h = 1.0 / (PetscReal)(n+1);
67 40 tau1 = delta1 / ((h*L)*(h*L));
68 40 tau2 = delta2 / ((h*L)*(h*L));
69
70
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 40 PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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 40 PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,2*n,2*n));
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 40 PetscCall(MatSetFromOptions(A));
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 40 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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 2440 for (i=Istart;i<Iend;i++) {
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 2400 if (i<n) { /* upper blocks */
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 1200 if (i>0) PetscCall(MatSetValue(A,i,i-1,tau1,INSERT_VALUES));
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 1200 if (i<n-1) PetscCall(MatSetValue(A,i,i+1,tau1,INSERT_VALUES));
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 1200 PetscCall(MatSetValue(A,i,i,-2.0*tau1+beta-1.0,INSERT_VALUES));
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 1200 PetscCall(MatSetValue(A,i,i+n,alpha*alpha,INSERT_VALUES));
81 } else { /* lower blocks */
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 1200 if (i>n) PetscCall(MatSetValue(A,i,i-1,tau2,INSERT_VALUES));
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 1200 if (i<2*n-1) PetscCall(MatSetValue(A,i,i+1,tau2,INSERT_VALUES));
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 1200 PetscCall(MatSetValue(A,i,i,-2.0*tau2-alpha*alpha,INSERT_VALUES));
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 2400 PetscCall(MatSetValue(A,i,i-n,-beta,INSERT_VALUES));
86 }
87 }
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 40 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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 40 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
90 }
91
92 /* Shift the matrix to make it stable, A-sigma*I */
93
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 50 PetscCall(PetscOptionsGetScalar(NULL,NULL,"-shift",&sigma,NULL));
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 50 PetscCall(MatShift(A,-sigma));
95
96 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
97 Create the eigensolver and set various options
98 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
99
100
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 50 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
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 50 PetscCall(EPSSetOperators(eps,A,NULL));
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 50 PetscCall(EPSSetProblemType(eps,EPS_NHEP));
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 50 PetscCall(EPSSetWhichEigenpairs(eps,EPS_LARGEST_REAL));
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 50 PetscCall(EPSSetFromOptions(eps));
105
106 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
107 Solve the eigensystem
108 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
109
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 50 PetscCall(EPSSolve(eps));
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 50 PetscCall(EPSGetType(eps,&type));
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 50 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Solution method: %s\n\n",type));
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 50 PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
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 50 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
115
116 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
117 Display solution and clean up
118 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
119
120 /* show detailed info unless -terse option is given by user */
121
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 50 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 50 if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
123 else {
124 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
125 ✗ PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD));
126 ✗ PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
127 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
128 }
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 50 PetscCall(EPSDestroy(&eps));
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 50 PetscCall(MatDestroy(&A));
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 50 PetscCall(SlepcFinalize());
132 return 0;
133 }
134
135 /*TEST
136
137 testset:
138 args: -eps_nev 6 -shift 0.1 -eps_type {{krylovschur lyapii}} -eps_tol 1e-7 -terse
139 requires: double
140 filter: grep -v method | sed -e "s/-0.09981-2.13938i, -0.09981+2.13938i/-0.09981+2.13938i, -0.09981-2.13938i/" | sed -e "s/-0.77192-2.52712i, -0.77192+2.52712i/-0.77192+2.52712i, -0.77192-2.52712i/" | sed -e "s/-1.88445-3.02666i, -1.88445+3.02666i/-1.88445+3.02666i, -1.88445-3.02666i/"
141 output_file: output/ex44_1.out
142 test:
143 suffix: 1
144 test:
145 suffix: 2
146 args: -eps_lyapii_ranks 8,20 -options_left no
147
148 test:
149 suffix: 3
150 args: -file ${SLEPC_DIR}/share/slepc/datafiles/matrices/rdb200.petsc -shift 35 -eps_type {{krylovschur lyapii}} -terse
151 requires: double !complex !defined(PETSC_USE_64BIT_INDICES)
152 filter: grep -v method
153
154 TEST*/
155