GCC Code Coverage Report

Directory: ./
File: src/nep/tests/test5.c
Date: 2025-12-10 04:20:18
Exec Total Coverage
Lines: 86 90 95.6%
Functions: 1 1 100.0%
Branches: 261 414 63.0%
Line Branch Exec Source
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[] = "Test the INTERPOL solver with a user-provided PEP.\n\n"
12 "This is based on ex22.\n"
13 "The command line options are:\n"
14 " -n <n>, where <n> = number of grid subdivisions.\n"
15 " -tau <tau>, where <tau> is the delay parameter.\n\n";
16
17 /*
18 Solve parabolic partial differential equation with time delay tau
19
20 u_t = u_xx + a*u(t) + b*u(t-tau)
21 u(0,t) = u(pi,t) = 0
22
23 with a = 20 and b(x) = -4.1+x*(1-exp(x-pi)).
24
25 Discretization leads to a DDE of dimension n
26
27 -u' = A*u(t) + B*u(t-tau)
28
29 which results in the nonlinear eigenproblem
30
31 (-lambda*I + A + exp(-tau*lambda)*B)*u = 0
32 */
33
34 #include <slepcnep.h>
35
36 22 int main(int argc,char **argv)
37 {
38 22 NEP nep;
39 22 PEP pep;
40 22 Mat Id,A,B;
41 22 FN f1,f2,f3;
42 22 RG rg;
43 22 Mat mats[3];
44 22 FN funs[3];
45 22 PetscScalar coeffs[2],b;
46 22 PetscInt n=128,nev,Istart,Iend,i,deg;
47 22 PetscReal tau=0.001,h,a=20,xi,tol;
48 22 PetscBool terse;
49
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 22 PetscFunctionBeginUser;
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 22 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 22 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 22 PetscCall(PetscOptionsGetReal(NULL,NULL,"-tau",&tau,NULL));
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 22 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Delay Eigenproblem, n=%" PetscInt_FMT ", tau=%g\n\n",n,(double)tau));
55 22 h = PETSC_PI/(PetscReal)(n+1);
56
57 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
58 Create a standalone PEP and RG objects with appropriate settings
59 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
60
61
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 22 PetscCall(PEPCreate(PETSC_COMM_WORLD,&pep));
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 22 PetscCall(PEPSetType(pep,PEPTOAR));
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 22 PetscCall(PEPSetFromOptions(pep));
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 22 PetscCall(RGCreate(PETSC_COMM_WORLD,&rg));
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 22 PetscCall(RGSetType(rg,RGINTERVAL));
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 22 PetscCall(RGIntervalSetEndpoints(rg,5,20,-0.1,0.1));
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 22 PetscCall(RGSetFromOptions(rg));
69
70 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
71 Create nonlinear eigensolver context
72 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
73
74
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 22 PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep));
75
76 /* Identity matrix */
77
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 22 PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,n,n,1.0,&Id));
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 22 PetscCall(MatSetOption(Id,MAT_HERMITIAN,PETSC_TRUE));
79
80 /* A = 1/h^2*tridiag(1,-2,1) + a*I */
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 22 PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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 22 PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 22 PetscCall(MatSetFromOptions(A));
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 22 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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 2838 for (i=Istart;i<Iend;i++) {
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 2816 if (i>0) PetscCall(MatSetValue(A,i,i-1,1.0/(h*h),INSERT_VALUES));
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 2816 if (i<n-1) PetscCall(MatSetValue(A,i,i+1,1.0/(h*h),INSERT_VALUES));
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 2816 PetscCall(MatSetValue(A,i,i,-2.0/(h*h)+a,INSERT_VALUES));
89 }
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 22 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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 22 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
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 22 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
93
94 /* B = diag(b(xi)) */
95
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 22 PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
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 22 PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 22 PetscCall(MatSetFromOptions(B));
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 22 PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
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 2838 for (i=Istart;i<Iend;i++) {
100 2816 xi = (i+1)*h;
101 2816 b = -4.1+xi*(1.0-PetscExpReal(xi-PETSC_PI));
102
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 2816 PetscCall(MatSetValues(B,1,&i,1,&i,&b,INSERT_VALUES));
103 }
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 22 PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
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 22 PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
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 22 PetscCall(MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE));
107
108 /* Functions: f1=-lambda, f2=1.0, f3=exp(-tau*lambda) */
109
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 22 PetscCall(FNCreate(PETSC_COMM_WORLD,&f1));
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 22 PetscCall(FNSetType(f1,FNRATIONAL));
111 22 coeffs[0] = -1.0; coeffs[1] = 0.0;
112
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 22 PetscCall(FNRationalSetNumerator(f1,2,coeffs));
113
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 22 PetscCall(FNCreate(PETSC_COMM_WORLD,&f2));
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 22 PetscCall(FNSetType(f2,FNRATIONAL));
116 22 coeffs[0] = 1.0;
117
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 22 PetscCall(FNRationalSetNumerator(f2,1,coeffs));
118
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 22 PetscCall(FNCreate(PETSC_COMM_WORLD,&f3));
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 22 PetscCall(FNSetType(f3,FNEXP));
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 22 PetscCall(FNSetScale(f3,-tau,1.0));
122
123 /* Set the split operator */
124 22 mats[0] = A; funs[0] = f2;
125 22 mats[1] = Id; funs[1] = f1;
126 22 mats[2] = B; funs[2] = f3;
127
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 22 PetscCall(NEPSetSplitOperator(nep,3,mats,funs,SUBSET_NONZERO_PATTERN));
128
129 /* Customize nonlinear solver; set runtime options */
130
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 22 PetscCall(NEPSetType(nep,NEPINTERPOL));
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 22 PetscCall(NEPSetRG(nep,rg));
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 22 PetscCall(NEPInterpolSetPEP(nep,pep));
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 22 PetscCall(NEPInterpolGetInterpolation(nep,&tol,&deg));
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 22 PetscCall(NEPInterpolSetInterpolation(nep,tol,deg+2)); /* increase degree of interpolation */
135
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 22 PetscCall(NEPSetFromOptions(nep));
136
137 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
138 Solve the eigensystem
139 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
140
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 22 PetscCall(NEPSolve(nep));
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 22 PetscCall(NEPGetDimensions(nep,&nev,NULL,NULL));
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 22 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
144
145 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
146 Display solution and clean up
147 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
148
149 /* show detailed info unless -terse option is given by user */
150
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 22 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 22 if (terse) PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,NULL));
152 else {
153 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
154 ✗ PetscCall(NEPConvergedReasonView(nep,PETSC_VIEWER_STDOUT_WORLD));
155 ✗ PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
156 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
157 }
158
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 22 PetscCall(NEPDestroy(&nep));
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 22 PetscCall(PEPDestroy(&pep));
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 22 PetscCall(RGDestroy(&rg));
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 22 PetscCall(MatDestroy(&Id));
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 22 PetscCall(MatDestroy(&A));
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 22 PetscCall(MatDestroy(&B));
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 22 PetscCall(FNDestroy(&f1));
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 22 PetscCall(FNDestroy(&f2));
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 22 PetscCall(FNDestroy(&f3));
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 22 PetscCall(SlepcFinalize());
168 return 0;
169 }
170
171 /*TEST
172
173 testset:
174 args: -nep_nev 3 -nep_target 5 -terse
175 output_file: output/test5_1.out
176 filter: sed -e "s/[+-]0\.0*i//g"
177 requires: !single
178 test:
179 suffix: 1
180 test:
181 suffix: 2_cuda
182 args: -mat_type aijcusparse
183 requires: cuda
184 test:
185 suffix: 2_hip
186 args: -mat_type aijhipsparse
187 requires: hip
188 test:
189 suffix: 3
190 args: -nep_view_values draw
191 requires: x
192
193 TEST*/
194