GCC Code Coverage Report


Directory: ./
File: src/nep/tests/test13.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 88 88 100.0%
Functions: 1 1 100.0%
Branches: 273 402 67.9%

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 NEPProjectOperator() function.\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
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 10 int main(int argc,char **argv)
37 {
38 10 NEP nep;
39 10 Mat Id,A,B,mats[3];
40 10 FN f1,f2,f3,funs[3];
41 10 BV V;
42 10 DS ds;
43 10 Vec v;
44 10 PetscScalar coeffs[2],b,*M;
45 10 PetscInt n=32,Istart,Iend,i,j,k,nc;
46 10 PetscReal tau=0.001,h,a=20,xi;
47
48
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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(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Delay Eigenproblem, n=%" PetscInt_FMT ", tau=%g\n",n,(double)tau));
53 10 h = PETSC_PI/(PetscReal)(n+1);
54
55 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
56 Create nonlinear eigensolver context
57 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
58
59
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10 PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep));
60
61 /* Identity matrix */
62
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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));
64
65 /* A = 1/h^2*tridiag(1,-2,1) + a*I */
66
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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));
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10 PetscCall(MatSetFromOptions(A));
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10 PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
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330 for (i=Istart;i<Iend;i++) {
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320 if (i>0) PetscCall(MatSetValue(A,i,i-1,1.0/(h*h),INSERT_VALUES));
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320 if (i<n-1) PetscCall(MatSetValue(A,i,i+1,1.0/(h*h),INSERT_VALUES));
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320 PetscCall(MatSetValue(A,i,i,-2.0/(h*h)+a,INSERT_VALUES));
74 }
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10 PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE));
78
79 /* B = diag(b(xi)) */
80
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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));
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10 PetscCall(MatSetFromOptions(B));
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10 PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
84
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330 for (i=Istart;i<Iend;i++) {
85 320 xi = (i+1)*h;
86 320 b = -4.1+xi*(1.0-PetscExpReal(xi-PETSC_PI));
87
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320 PetscCall(MatSetValues(B,1,&i,1,&i,&b,INSERT_VALUES));
88 }
89
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10 PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE));
92
93 /* Functions: f1=-lambda, f2=1.0, f3=exp(-tau*lambda) */
94
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10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f1));
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10 PetscCall(FNSetType(f1,FNRATIONAL));
96 10 coeffs[0] = -1.0; coeffs[1] = 0.0;
97
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10 PetscCall(FNRationalSetNumerator(f1,2,coeffs));
98
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10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f2));
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10 PetscCall(FNSetType(f2,FNRATIONAL));
101 10 coeffs[0] = 1.0;
102
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10 PetscCall(FNRationalSetNumerator(f2,1,coeffs));
103
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10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f3));
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10 PetscCall(FNSetType(f3,FNEXP));
106
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10 PetscCall(FNSetScale(f3,-tau,1.0));
107
108 /* Set the split operator */
109 10 mats[0] = A; funs[0] = f2;
110 10 mats[1] = Id; funs[1] = f1;
111 10 mats[2] = B; funs[2] = f3;
112
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10 PetscCall(NEPSetSplitOperator(nep,3,mats,funs,SUBSET_NONZERO_PATTERN));
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10 PetscCall(NEPSetType(nep,NEPNARNOLDI));
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10 PetscCall(NEPSetFromOptions(nep));
115
116 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
117 Project the NEP
118 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
119
120
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10 PetscCall(NEPSetUp(nep));
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10 PetscCall(NEPGetBV(nep,&V));
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10 PetscCall(BVGetSizes(V,NULL,NULL,&nc));
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60 for (i=0;i<nc;i++) {
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50 PetscCall(BVGetColumn(V,i,&v));
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50 PetscCall(VecSetValue(v,i,1.0,INSERT_VALUES));
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50 PetscCall(VecAssemblyBegin(v));
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50 PetscCall(VecAssemblyEnd(v));
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50 PetscCall(BVRestoreColumn(V,i,&v));
129 }
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10 PetscCall(NEPGetDS(nep,&ds));
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10 PetscCall(DSSetType(ds,DSNEP));
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10 PetscCall(DSNEPSetFN(ds,3,funs));
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10 PetscCall(DSAllocate(ds,nc));
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10 PetscCall(DSSetDimensions(ds,nc,0,0));
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10 PetscCall(NEPProjectOperator(nep,0,nc));
136
137 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
138 Display projected matrices and clean up
139 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
140
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40 for (k=0;k<3;k++) {
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30 PetscCall(DSGetArray(ds,DSMatExtra[k],&M));
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30 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nMatrix E%" PetscInt_FMT " = \n",k));
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180 for (i=0;i<nc;i++) {
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900 for (j=0;j<nc;j++) PetscCall(PetscPrintf(PETSC_COMM_WORLD," %.5g",(double)PetscRealPart(M[i+j*nc])));
146
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150 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n"));
147 }
148
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30 PetscCall(DSRestoreArray(ds,DSMatExtra[k],&M));
149 }
150
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10 PetscCall(NEPDestroy(&nep));
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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));
158
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10 PetscCall(SlepcFinalize());
159 return 0;
160 }
161
162 /*TEST
163
164 test:
165 suffix: 1
166 args: -nep_ncv 5
167
168 TEST*/
169