GCC Code Coverage Report

Directory: ./
File: src/nep/tests/test12.c
Date: 2025-11-19 04:19:03
Exec Total Coverage
Lines: 71 75 94.7%
Functions: 2 2 100.0%
Branches: 217 352 61.6%
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 some NLEIGS interface functions.\n\n"
12 "Based on ex27.c. The command line options are:\n"
13 " -n <n>, where <n> = matrix dimension.\n";
14
15 /*
16 Solve T(lambda)x=0 using NLEIGS solver
17 with T(lambda) = -D+sqrt(lambda)*I
18 where D is the Laplacian operator in 1 dimension
19 and with the interpolation interval [.01,16]
20 */
21
22 #include <slepcnep.h>
23
24 /*
25 User-defined routines
26 */
27 PetscErrorCode ComputeSingularities(NEP,PetscInt*,PetscScalar*,void*);
28
29 10 int main(int argc,char **argv)
30 {
31 10 NEP nep; /* nonlinear eigensolver context */
32 10 Mat A[2];
33 10 PetscInt n=100,Istart,Iend,i,ns,nsin;
34 10 PetscBool terse,fb;
35 10 RG rg;
36 10 FN f[2];
37 10 PetscScalar coeffs,shifts[]={1.06,1.1,1.12,1.15},*rkshifts,val;
38 10 PetscErrorCode (*fsing)(NEP,PetscInt*,PetscScalar*,void*);
39
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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(PetscPrintf(PETSC_COMM_WORLD,"\nSquare root eigenproblem, n=%" PetscInt_FMT "\n\n",n));
44
45 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
46 Create nonlinear eigensolver and set some options
47 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
48
49
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 10 PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep));
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 10 PetscCall(NEPSetType(nep,NEPNLEIGS));
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 10 PetscCall(NEPNLEIGSSetSingularitiesFunction(nep,ComputeSingularities,NULL));
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 10 PetscCall(NEPGetRG(nep,&rg));
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 10 PetscCall(RGSetType(rg,RGINTERVAL));
54 #if defined(PETSC_USE_COMPLEX)
55
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 5 PetscCall(RGIntervalSetEndpoints(rg,0.01,16.0,-0.001,0.001));
56 #else
57
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 5 PetscCall(RGIntervalSetEndpoints(rg,0.01,16.0,0,0));
58 #endif
59
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 10 PetscCall(NEPSetTarget(nep,1.1));
60
61 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
62 Define the nonlinear problem in split form
63 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
64
65 /* Create matrices */
66
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 10 PetscCall(MatCreate(PETSC_COMM_WORLD,&A[0]));
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 10 PetscCall(MatSetSizes(A[0],PETSC_DECIDE,PETSC_DECIDE,n,n));
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 10 PetscCall(MatSetFromOptions(A[0]));
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 10 PetscCall(MatGetOwnershipRange(A[0],&Istart,&Iend));
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 1010 for (i=Istart;i<Iend;i++) {
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 1000 if (i>0) PetscCall(MatSetValue(A[0],i,i-1,1.0,INSERT_VALUES));
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 1000 if (i<n-1) PetscCall(MatSetValue(A[0],i,i+1,1.0,INSERT_VALUES));
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 1000 PetscCall(MatSetValue(A[0],i,i,-2.0,INSERT_VALUES));
74 }
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 10 PetscCall(MatAssemblyBegin(A[0],MAT_FINAL_ASSEMBLY));
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 10 PetscCall(MatAssemblyEnd(A[0],MAT_FINAL_ASSEMBLY));
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 10 PetscCall(MatCreateConstantDiagonal(PETSC_COMM_WORLD,PETSC_DECIDE,PETSC_DECIDE,n,n,1.0,&A[1]));
79
80 /* Define functions */
81
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 10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f[0]));
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 10 PetscCall(FNSetType(f[0],FNRATIONAL));
83 10 coeffs = 1.0;
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 10 PetscCall(FNRationalSetNumerator(f[0],1,&coeffs));
85
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 10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f[1]));
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 10 PetscCall(FNSetType(f[1],FNSQRT));
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 10 PetscCall(NEPSetSplitOperator(nep,2,A,f,SUBSET_NONZERO_PATTERN));
88
89 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
90 Set some options
91 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
92
93
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 10 PetscCall(NEPNLEIGSSetFullBasis(nep,PETSC_FALSE));
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 10 PetscCall(NEPNLEIGSSetRKShifts(nep,4,shifts));
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 10 PetscCall(NEPSetFromOptions(nep));
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 10 PetscCall(NEPNLEIGSGetFullBasis(nep,&fb));
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 20 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using full basis = %s\n",fb?"true":"false"));
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 10 PetscCall(NEPNLEIGSGetRKShifts(nep,&ns,&rkshifts));
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 10 if (ns) {
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using %" PetscInt_FMT " RK shifts =",ns));
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 50 for (i=0;i<ns;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD," %g",(double)PetscRealPart(rkshifts[i])));
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n"));
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 10 PetscCall(PetscFree(rkshifts));
105 }
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 10 PetscCall(NEPNLEIGSGetSingularitiesFunction(nep,&fsing,NULL));
107 10 nsin = 1;
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 10 PetscCall((*fsing)(nep,&nsin,&val,NULL));
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," First returned singularity = %g\n",(double)PetscRealPart(val)));
110
111 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
112 Solve the eigensystem
113 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
114
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 10 PetscCall(NEPSolve(nep));
115
116 /* show detailed info unless -terse option is given by user */
117
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 10 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 10 if (terse) PetscCall(NEPErrorView(nep,NEP_ERROR_BACKWARD,NULL));
119 else {
120 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
121 ✗ PetscCall(NEPConvergedReasonView(nep,PETSC_VIEWER_STDOUT_WORLD));
122 ✗ PetscCall(NEPErrorView(nep,NEP_ERROR_BACKWARD,PETSC_VIEWER_STDOUT_WORLD));
123 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
124 }
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 10 PetscCall(NEPDestroy(&nep));
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 10 PetscCall(MatDestroy(&A[0]));
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 10 PetscCall(MatDestroy(&A[1]));
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 10 PetscCall(FNDestroy(&f[0]));
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 10 PetscCall(FNDestroy(&f[1]));
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 10 PetscCall(SlepcFinalize());
131 return 0;
132 }
133
134 /* ------------------------------------------------------------------- */
135 /*
136 ComputeSingularities - Computes maxnp points (at most) in the complex plane where
137 the function T(.) is not analytic.
138
139 In this case, we discretize the singularity region (-inf,0)~(-1e+6,-1e-5)
140 */
141 20 PetscErrorCode ComputeSingularities(NEP nep,PetscInt *maxnp,PetscScalar *xi,void *pt)
142 {
143 20 PetscReal h;
144 20 PetscInt i;
145
146
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 20 PetscFunctionBeginUser;
147 20 h = 11.0/(*maxnp-1);
148 20 xi[0] = -1e-5; xi[*maxnp-1] = -1e+6;
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 100000 for (i=1;i<*maxnp-1;i++) xi[i] = -PetscPowReal(10,-5+h*i);
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 20 PetscFunctionReturn(PETSC_SUCCESS);
151 }
152
153 /*TEST
154
155 test:
156 suffix: 1
157 args: -nep_nev 3 -nep_nleigs_interpolation_degree 20 -terse -nep_view
158 requires: double
159 filter: grep -v tolerance | sed -e "s/[+-]0\.0*i//g"
160
161 TEST*/
162