GCC Code Coverage Report

Directory: ./
File: src/nep/tests/test6.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 94 98 95.9%
Functions: 1 1 100.0%
Branches: 288 454 63.4%
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 NArnoldi solver with a user-provided KSP.\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"
16 " -initv ... set an initial vector.\n\n";
17
18 /*
19 Solve parabolic partial differential equation with time delay tau
20
21 u_t = u_xx + a*u(t) + b*u(t-tau)
22 u(0,t) = u(pi,t) = 0
23
24 with a = 20 and b(x) = -4.1+x*(1-exp(x-pi)).
25
26 Discretization leads to a DDE of dimension n
27
28 -u' = A*u(t) + B*u(t-tau)
29
30 which results in the nonlinear eigenproblem
31
32 (-lambda*I + A + exp(-tau*lambda)*B)*u = 0
33 */
34
35 #include <slepcnep.h>
36
37 10 int main(int argc,char **argv)
38 {
39 10 NEP nep;
40 10 KSP ksp;
41 10 PC pc;
42 10 Mat Id,A,B,mats[3];
43 10 FN f1,f2,f3,funs[3];
44 10 Vec v0;
45 10 PetscScalar coeffs[2],b,*pv;
46 10 PetscInt n=128,nev,Istart,Iend,i,lag;
47 10 PetscReal tau=0.001,h,a=20,xi;
48 10 PetscBool terse,initv=PETSC_FALSE;
49 10 const char *prefix;
50
51
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 10 PetscFunctionBeginUser;
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 10 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 10 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 10 PetscCall(PetscOptionsGetReal(NULL,NULL,"-tau",&tau,NULL));
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 10 PetscCall(PetscOptionsGetBool(NULL,NULL,"-initv",&initv,NULL));
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Delay Eigenproblem, n=%" PetscInt_FMT ", tau=%g\n\n",n,(double)tau));
57 10 h = PETSC_PI/(PetscReal)(n+1);
58
59 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
60 Create a standalone KSP with appropriate settings
61 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
62
63
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 10 PetscCall(KSPCreate(PETSC_COMM_WORLD,&ksp));
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 10 PetscCall(KSPSetType(ksp,KSPBCGS));
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 10 PetscCall(KSPGetPC(ksp,&pc));
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 10 PetscCall(PCSetType(pc,PCBJACOBI));
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 10 PetscCall(KSPSetFromOptions(ksp));
68
69 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
70 Create nonlinear eigensolver context
71 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
72
73
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 10 PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep));
74
75 /* Identity matrix */
76
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 10 PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,n,n,1.0,&Id));
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 10 PetscCall(MatSetOption(Id,MAT_HERMITIAN,PETSC_TRUE));
78
79 /* A = 1/h^2*tridiag(1,-2,1) + a*I */
80
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 10 PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
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 10 PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n));
82
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 10 PetscCall(MatSetFromOptions(A));
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 10 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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 1290 for (i=Istart;i<Iend;i++) {
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 1280 if (i>0) PetscCall(MatSetValue(A,i,i-1,1.0/(h*h),INSERT_VALUES));
86
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 1280 if (i<n-1) PetscCall(MatSetValue(A,i,i+1,1.0/(h*h),INSERT_VALUES));
87
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 1280 PetscCall(MatSetValue(A,i,i,-2.0/(h*h)+a,INSERT_VALUES));
88 }
89
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 10 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
90
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 10 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
91
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 10 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
92
93 /* B = diag(b(xi)) */
94
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 10 PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
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 10 PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n));
96
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 10 PetscCall(MatSetFromOptions(B));
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 10 PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
98
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 1290 for (i=Istart;i<Iend;i++) {
99 1280 xi = (i+1)*h;
100 1280 b = -4.1+xi*(1.0-PetscExpReal(xi-PETSC_PI));
101
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 1280 PetscCall(MatSetValues(B,1,&i,1,&i,&b,INSERT_VALUES));
102 }
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 10 PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
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 10 PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
105
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 10 PetscCall(MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE));
106
107 /* Functions: f1=-lambda, f2=1.0, f3=exp(-tau*lambda) */
108
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 10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f1));
109
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 10 PetscCall(FNSetType(f1,FNRATIONAL));
110 10 coeffs[0] = -1.0; coeffs[1] = 0.0;
111
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 10 PetscCall(FNRationalSetNumerator(f1,2,coeffs));
112
113
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 10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f2));
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 10 PetscCall(FNSetType(f2,FNRATIONAL));
115 10 coeffs[0] = 1.0;
116
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 10 PetscCall(FNRationalSetNumerator(f2,1,coeffs));
117
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 10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f3));
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 10 PetscCall(FNSetType(f3,FNEXP));
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 10 PetscCall(FNSetScale(f3,-tau,1.0));
121
122 /* Set the split operator */
123 10 mats[0] = A; funs[0] = f2;
124 10 mats[1] = Id; funs[1] = f1;
125 10 mats[2] = B; funs[2] = f3;
126
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 10 PetscCall(NEPSetSplitOperator(nep,3,mats,funs,SUBSET_NONZERO_PATTERN));
127
128 /* Customize nonlinear solver; set runtime options */
129
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 10 PetscCall(NEPSetOptionsPrefix(nep,"check_"));
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 10 PetscCall(NEPAppendOptionsPrefix(nep,"myprefix_"));
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 10 PetscCall(NEPGetOptionsPrefix(nep,&prefix));
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"NEP prefix is currently: %s\n\n",prefix));
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 10 PetscCall(NEPSetType(nep,NEPNARNOLDI));
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 10 PetscCall(NEPNArnoldiSetKSP(nep,ksp));
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 10 if (initv) { /* initial vector */
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 10 PetscCall(MatCreateVecs(A,&v0,NULL));
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 10 PetscCall(VecGetArray(v0,&pv));
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 1290 for (i=Istart;i<Iend;i++) pv[i-Istart] = PetscSinReal((4.0*PETSC_PI*i)/n);
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 10 PetscCall(VecRestoreArray(v0,&pv));
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 10 PetscCall(NEPSetInitialSpace(nep,1,&v0));
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 10 PetscCall(VecDestroy(&v0));
142 }
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 10 PetscCall(NEPSetFromOptions(nep));
144
145 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
146 Solve the eigensystem
147 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
148
149
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 10 PetscCall(NEPSolve(nep));
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 10 PetscCall(NEPGetDimensions(nep,&nev,NULL,NULL));
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
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 10 PetscCall(NEPNArnoldiGetLagPreconditioner(nep,&lag));
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," N-Arnoldi lag parameter: %" PetscInt_FMT "\n",lag));
154
155 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
156 Display solution and clean up
157 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
158
159 /* show detailed info unless -terse option is given by user */
160
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 10 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 10 if (terse) PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,NULL));
162 else {
163 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
164 ✗ PetscCall(NEPConvergedReasonView(nep,PETSC_VIEWER_STDOUT_WORLD));
165 ✗ PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
166 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
167 }
168
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 10 PetscCall(NEPDestroy(&nep));
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 10 PetscCall(KSPDestroy(&ksp));
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 10 PetscCall(MatDestroy(&Id));
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 10 PetscCall(MatDestroy(&A));
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 10 PetscCall(MatDestroy(&B));
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 10 PetscCall(FNDestroy(&f1));
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 10 PetscCall(FNDestroy(&f2));
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 10 PetscCall(FNDestroy(&f3));
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 10 PetscCall(SlepcFinalize());
177 return 0;
178 }
179
180 /*TEST
181
182 test:
183 suffix: 1
184 args: -check_myprefix_nep_view -check_myprefix_nep_monitor_conv -initv -terse
185 filter: grep -v "tolerance" | sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/removed/g" -e "s/+0i//g"
186 requires: double
187
188 TEST*/
189