GCC Code Coverage Report

Directory: ./
File: src/nep/tests/test11.c
Date: 2025-12-10 04:20:18
Exec Total Coverage
Lines: 87 91 95.6%
Functions: 1 1 100.0%
Branches: 260 412 63.1%
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 CISS solver with the problem of ex22.\n\n"
12 "The command line options are:\n"
13 " -n <n>, where <n> = number of grid subdivisions.\n"
14 " -tau <tau>, where <tau> is the delay parameter.\n\n";
15
16 /*
17 Solve parabolic partial differential equation with time delay tau
18
19 u_t = u_xx + a*u(t) + b*u(t-tau)
20 u(0,t) = u(pi,t) = 0
21
22 with a = 20 and b(x) = -4.1+x*(1-exp(x-pi)).
23
24 Discretization leads to a DDE of dimension n
25
26 -u' = A*u(t) + B*u(t-tau)
27
28 which results in the nonlinear eigenproblem
29
30 (-lambda*I + A + exp(-tau*lambda)*B)*u = 0
31 */
32
33 #include <slepcnep.h>
34
35 65 int main(int argc,char **argv)
36 {
37 65 NEP nep;
38 65 Mat Id,A,B,mats[3];
39 65 FN f1,f2,f3,funs[3];
40 65 RG rg;
41 65 KSP *ksp;
42 65 PC pc;
43 65 NEPCISSExtraction ext;
44 65 PetscScalar coeffs[2],b;
45 65 PetscInt n=128,Istart,Iend,i,nsolve;
46 65 PetscReal tau=0.001,h,a=20,xi;
47 65 PetscBool flg,terse;
48
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 65 PetscFunctionBeginUser;
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 65 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 65 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 65 PetscCall(PetscOptionsGetReal(NULL,NULL,"-tau",&tau,NULL));
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 65 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Delay Eigenproblem, n=%" PetscInt_FMT ", tau=%g\n\n",n,(double)tau));
54 65 h = PETSC_PI/(PetscReal)(n+1);
55
56 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
57 Create nonlinear eigensolver context
58 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
59
60
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 65 PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep));
61
62 /* Identity matrix */
63
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 65 PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,n,n,1.0,&Id));
64
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 65 PetscCall(MatSetOption(Id,MAT_HERMITIAN,PETSC_TRUE));
65
66 /* A = 1/h^2*tridiag(1,-2,1) + a*I */
67
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 65 PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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 65 PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 65 PetscCall(MatSetFromOptions(A));
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 65 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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 6465 for (i=Istart;i<Iend;i++) {
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 6400 if (i>0) PetscCall(MatSetValue(A,i,i-1,1.0/(h*h),INSERT_VALUES));
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 6400 if (i<n-1) PetscCall(MatSetValue(A,i,i+1,1.0/(h*h),INSERT_VALUES));
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 6400 PetscCall(MatSetValue(A,i,i,-2.0/(h*h)+a,INSERT_VALUES));
75 }
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 65 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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 65 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
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 65 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
79
80 /* B = diag(b(xi)) */
81
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 65 PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
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 65 PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 65 PetscCall(MatSetFromOptions(B));
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 65 PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
85
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 6465 for (i=Istart;i<Iend;i++) {
86 6400 xi = (i+1)*h;
87 6400 b = -4.1+xi*(1.0-PetscExpReal(xi-PETSC_PI));
88
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 6400 PetscCall(MatSetValues(B,1,&i,1,&i,&b,INSERT_VALUES));
89 }
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 65 PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
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 65 PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
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 65 PetscCall(MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE));
93
94 /* Functions: f1=-lambda, f2=1.0, f3=exp(-tau*lambda) */
95
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 65 PetscCall(FNCreate(PETSC_COMM_WORLD,&f1));
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 65 PetscCall(FNSetType(f1,FNRATIONAL));
97 65 coeffs[0] = -1.0; coeffs[1] = 0.0;
98
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 65 PetscCall(FNRationalSetNumerator(f1,2,coeffs));
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 65 PetscCall(FNCreate(PETSC_COMM_WORLD,&f2));
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 65 PetscCall(FNSetType(f2,FNRATIONAL));
102 65 coeffs[0] = 1.0;
103
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 65 PetscCall(FNRationalSetNumerator(f2,1,coeffs));
104
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 65 PetscCall(FNCreate(PETSC_COMM_WORLD,&f3));
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 65 PetscCall(FNSetType(f3,FNEXP));
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 65 PetscCall(FNSetScale(f3,-tau,1.0));
108
109 /* Set the split operator */
110 65 mats[0] = A; funs[0] = f2;
111 65 mats[1] = Id; funs[1] = f1;
112 65 mats[2] = B; funs[2] = f3;
113
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 65 PetscCall(NEPSetSplitOperator(nep,3,mats,funs,SUBSET_NONZERO_PATTERN));
114
115 /* Customize nonlinear solver; set runtime options */
116
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 65 PetscCall(NEPSetType(nep,NEPCISS));
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 65 PetscCall(NEPSetDimensions(nep,1,24,PETSC_DETERMINE));
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 65 PetscCall(NEPSetTolerances(nep,1e-9,PETSC_CURRENT));
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 65 PetscCall(NEPGetRG(nep,&rg));
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 65 PetscCall(RGSetType(rg,RGELLIPSE));
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 65 PetscCall(RGEllipseSetParameters(rg,10.0,9.5,0.1));
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 65 PetscCall(NEPCISSSetSizes(nep,PETSC_DETERMINE,PETSC_DETERMINE,PETSC_DETERMINE,1,PETSC_DETERMINE,PETSC_TRUE));
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 65 PetscCall(NEPCISSGetKSPs(nep,&nsolve,&ksp));
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 1105 for (i=0;i<nsolve;i++) {
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 1040 PetscCall(KSPSetTolerances(ksp[i],1e-12,PETSC_CURRENT,PETSC_CURRENT,PETSC_CURRENT));
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 1040 PetscCall(KSPSetType(ksp[i],KSPBCGS));
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 1040 PetscCall(KSPGetPC(ksp[i],&pc));
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 1040 PetscCall(PCSetType(pc,PCSOR));
129 }
130
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 65 PetscCall(NEPSetFromOptions(nep));
131
132 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
133 Solve the eigensystem
134 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
135
136
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 65 PetscCall(PetscObjectTypeCompare((PetscObject)nep,NEPCISS,&flg));
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 65 if (flg) {
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 65 PetscCall(NEPCISSGetExtraction(nep,&ext));
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 65 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Running CISS with %" PetscInt_FMT " KSP solvers (%s extraction)\n",nsolve,NEPCISSExtractions[ext]));
140 }
141
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 65 PetscCall(NEPSolve(nep));
142
143 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
144 Display solution and clean up
145 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
146
147 /* show detailed info unless -terse option is given by user */
148
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 65 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 65 if (terse) PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,NULL));
150 else {
151 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
152 ✗ PetscCall(NEPConvergedReasonView(nep,PETSC_VIEWER_STDOUT_WORLD));
153 ✗ PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
154 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
155 }
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 65 PetscCall(NEPDestroy(&nep));
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 65 PetscCall(MatDestroy(&Id));
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 65 PetscCall(MatDestroy(&A));
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 65 PetscCall(MatDestroy(&B));
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 65 PetscCall(FNDestroy(&f1));
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 65 PetscCall(FNDestroy(&f2));
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 65 PetscCall(FNDestroy(&f3));
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 65 PetscCall(SlepcFinalize());
164 return 0;
165 }
166
167 /*TEST
168
169 build:
170 requires: complex
171
172 testset:
173 args: -nep_ciss_extraction {{ritz hankel caa}} -terse
174 requires: complex !single
175 output_file: output/test11_1.out
176 filter: sed -e "s/([A-Z]* extraction)//"
177 test:
178 suffix: 1
179 args: -nep_ciss_delta 1e-10
180 test:
181 suffix: 2
182 nsize: 2
183 args: -nep_ciss_partitions 2
184 test:
185 suffix: 3
186 args: -nep_ciss_moments 6 -nep_ciss_blocksize 4 -nep_ciss_refine_inner 1 -nep_ciss_refine_blocksize 2
187
188 test:
189 suffix: 4
190 args: -terse -nep_view
191 requires: complex !single
192 filter: grep -v tolerance | grep -v threshold
193
194 TEST*/
195