GCC Code Coverage Report


Directory: ./
File: src/nep/tests/test15.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 100 100 100.0%
Functions: 2 2 100.0%
Branches: 274 420 65.2%

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[] = "Illustrates the use of a user-defined stopping test.\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 /*
37 User-defined routines
38 */
39 PetscErrorCode MyStoppingTest(NEP,PetscInt,PetscInt,PetscInt,PetscInt,NEPConvergedReason*,void*);
40
41 typedef struct {
42 PetscInt lastnconv; /* last value of nconv; used in stopping test */
43 PetscInt nreps; /* number of repetitions of nconv; used in stopping test */
44 } CTX_DELAY;
45
46 10 int main(int argc,char **argv)
47 {
48 10 NEP nep;
49 10 Mat Id,A,B;
50 10 FN f1,f2,f3;
51 10 RG rg;
52 10 CTX_DELAY *ctx;
53 10 Mat mats[3];
54 10 FN funs[3];
55 10 PetscScalar coeffs[2],b;
56 10 PetscInt n=128,Istart,Iend,i,mpd;
57 10 PetscReal tau=0.001,h,a=20,xi;
58 10 PetscBool terse;
59 10 PetscViewer viewer;
60
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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",n,(double)tau));
66 10 h = PETSC_PI/(PetscReal)(n+1);
67
68 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
69 Create nonlinear eigensolver context
70 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
71
72
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10 PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep));
73
74 /* Identity matrix */
75
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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));
77
78 /* A = 1/h^2*tridiag(1,-2,1) + a*I */
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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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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));
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1280 if (i<n-1) PetscCall(MatSetValue(A,i,i+1,1.0/(h*h),INSERT_VALUES));
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1280 PetscCall(MatSetValue(A,i,i,-2.0/(h*h)+a,INSERT_VALUES));
87 }
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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));
91
92 /* B = diag(b(xi)) */
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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));
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1290 for (i=Istart;i<Iend;i++) {
98 1280 xi = (i+1)*h;
99 1280 b = -4.1+xi*(1.0-PetscExpReal(xi-PETSC_PI));
100
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1280 PetscCall(MatSetValues(B,1,&i,1,&i,&b,INSERT_VALUES));
101 }
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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));
105
106 /* Functions: f1=-lambda, f2=1.0, f3=exp(-tau*lambda) */
107
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10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f1));
108
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10 PetscCall(FNSetType(f1,FNRATIONAL));
109 10 coeffs[0] = -1.0; coeffs[1] = 0.0;
110
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10 PetscCall(FNRationalSetNumerator(f1,2,coeffs));
111
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10 PetscCall(FNCreate(PETSC_COMM_WORLD,&f2));
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10 PetscCall(FNSetType(f2,FNRATIONAL));
114 10 coeffs[0] = 1.0;
115
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10 PetscCall(FNRationalSetNumerator(f2,1,coeffs));
116
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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));
120
121 /* Set the split operator */
122 10 mats[0] = A; funs[0] = f2;
123 10 mats[1] = Id; funs[1] = f1;
124 10 mats[2] = B; funs[2] = f3;
125
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10 PetscCall(NEPSetSplitOperator(nep,3,mats,funs,SUBSET_NONZERO_PATTERN));
126
127 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
128 Customize nonlinear solver; set runtime options
129 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
130
131
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10 PetscCall(NEPSetType(nep,NEPNLEIGS));
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10 PetscCall(NEPGetRG(nep,&rg));
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10 PetscCall(RGSetType(rg,RGINTERVAL));
134 #if defined(PETSC_USE_COMPLEX)
135
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5 PetscCall(RGIntervalSetEndpoints(rg,5,20,-0.001,0.001));
136 #else
137
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5 PetscCall(RGIntervalSetEndpoints(rg,5,20,-0.0,0.0));
138 #endif
139
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10 PetscCall(NEPSetTarget(nep,15.0));
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10 PetscCall(NEPSetWhichEigenpairs(nep,NEP_TARGET_MAGNITUDE));
141
142 /*
143 Set solver options. In particular, we must allocate sufficient
144 storage for all eigenpairs that may converge (ncv). This is
145 application-dependent.
146 */
147 10 mpd = 40;
148
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10 PetscCall(NEPSetDimensions(nep,2*mpd,3*mpd,mpd));
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10 PetscCall(NEPSetTolerances(nep,PETSC_CURRENT,2000));
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10 PetscCall(PetscNew(&ctx));
151 10 ctx->lastnconv = 0;
152 10 ctx->nreps = 0;
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10 PetscCall(NEPSetStoppingTestFunction(nep,MyStoppingTest,(void*)ctx,NULL));
154
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10 PetscCall(NEPSetFromOptions(nep));
156
157 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
158 Solve the eigensystem
159 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
160
161
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10 PetscCall(NEPSolve(nep));
162
163 /* show detailed info unless -terse option is given by user */
164
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10 PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
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10 PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL));
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10 PetscCall(NEPConvergedReasonView(nep,viewer));
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10 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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10 if (!terse) PetscCall(NEPErrorView(nep,NEP_ERROR_BACKWARD,viewer));
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10 PetscCall(PetscViewerPopFormat(viewer));
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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));
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10 PetscCall(PetscFree(ctx));
179
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10 PetscCall(SlepcFinalize());
180 return 0;
181 }
182
183 /*
184 Function for user-defined stopping test.
185
186 Ignores the value of nev. It only takes into account the number of
187 eigenpairs that have converged in recent outer iterations (restarts);
188 if no new eigenvalues have converged in the last few restarts,
189 we stop the iteration, assuming that no more eigenvalues are present
190 inside the region.
191 */
192 120 PetscErrorCode MyStoppingTest(NEP nep,PetscInt its,PetscInt max_it,PetscInt nconv,PetscInt nev,NEPConvergedReason *reason,void *ptr)
193 {
194 120 CTX_DELAY *ctx = (CTX_DELAY*)ptr;
195
196
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120 PetscFunctionBeginUser;
197 /* check usual termination conditions, but ignoring the case nconv>=nev */
198
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120 PetscCall(NEPStoppingBasic(nep,its,max_it,nconv,PETSC_INT_MAX,reason,NULL));
199
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120 if (*reason==NEP_CONVERGED_ITERATING) {
200 /* check if nconv is the same as before */
201
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120 if (nconv==ctx->lastnconv) ctx->nreps++;
202 else {
203 10 ctx->lastnconv = nconv;
204 10 ctx->nreps = 0;
205 }
206 /* check if no eigenvalues converged in last 10 restarts */
207
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120 if (nconv && ctx->nreps>10) *reason = NEP_CONVERGED_USER;
208 }
209
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24 PetscFunctionReturn(PETSC_SUCCESS);
210 }
211
212 /*TEST
213
214 test:
215 suffix: 1
216 args: -terse
217
218 TEST*/
219