GCC Code Coverage Report

Directory: ./
File: src/nep/tests/test3.c
Date: 2025-12-10 04:20:18
Exec Total Coverage
Lines: 118 124 95.2%
Functions: 3 3 100.0%
Branches: 253 432 58.6%
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 the SLP solver with a user-provided EPS.\n\n"
12 "This is a simplified version of ex20.\n"
13 "The command line options are:\n"
14 " -n <n>, where <n> = number of grid subdivisions.\n";
15
16 /*
17 Solve 1-D PDE
18 -u'' = lambda*u
19 on [0,1] subject to
20 u(0)=0, u'(1)=u(1)*lambda*kappa/(kappa-lambda)
21 */
22
23 #include <slepcnep.h>
24
25 /*
26 User-defined routines
27 */
28 PetscErrorCode FormFunction(NEP,PetscScalar,Mat,Mat,void*);
29 PetscErrorCode FormJacobian(NEP,PetscScalar,Mat,void*);
30
31 /*
32 User-defined application context
33 */
34 typedef struct {
35 PetscScalar kappa; /* ratio between stiffness of spring and attached mass */
36 PetscReal h; /* mesh spacing */
37 } ApplicationCtx;
38
39 20 int main(int argc,char **argv)
40 {
41 20 NEP nep;
42 20 EPS eps;
43 20 KSP ksp;
44 20 PC pc;
45 20 Mat F,J;
46 20 ApplicationCtx ctx;
47 20 PetscInt n=128;
48 20 PetscReal deftol;
49 20 PetscBool terse,flag,ts;
50
51
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 20 PetscFunctionBeginUser;
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 20 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 20 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 20 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Nonlinear Eigenproblem, n=%" PetscInt_FMT "\n\n",n));
55 20 ctx.h = 1.0/(PetscReal)n;
56 20 ctx.kappa = 1.0;
57
58 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
59 Create a standalone EPS with appropriate settings
60 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
61
62
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 20 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
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 20 PetscCall(EPSSetType(eps,EPSGD));
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 20 PetscCall(EPSSetFromOptions(eps));
65
66 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
67 Create a standalone KSP with appropriate settings
68 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
69
70
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 20 PetscCall(KSPCreate(PETSC_COMM_WORLD,&ksp));
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 20 PetscCall(KSPSetType(ksp,KSPBCGS));
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 20 PetscCall(KSPGetPC(ksp,&pc));
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 20 PetscCall(PCSetType(pc,PCBJACOBI));
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 20 PetscCall(KSPSetFromOptions(ksp));
75
76 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
77 Prepare nonlinear eigensolver context
78 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
79
80
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 20 PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep));
81
82 /* Create Function and Jacobian matrices; set evaluation routines */
83
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 20 PetscCall(MatCreate(PETSC_COMM_WORLD,&F));
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 20 PetscCall(MatSetSizes(F,PETSC_DECIDE,PETSC_DECIDE,n,n));
85
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 20 PetscCall(MatSetFromOptions(F));
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 20 PetscCall(MatSeqAIJSetPreallocation(F,3,NULL));
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 20 PetscCall(MatMPIAIJSetPreallocation(F,3,NULL,1,NULL));
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 20 PetscCall(NEPSetFunction(nep,F,F,FormFunction,&ctx));
89
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 20 PetscCall(MatCreate(PETSC_COMM_WORLD,&J));
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 20 PetscCall(MatSetSizes(J,PETSC_DECIDE,PETSC_DECIDE,n,n));
92
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 20 PetscCall(MatSetFromOptions(J));
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 20 PetscCall(MatSeqAIJSetPreallocation(J,3,NULL));
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 20 PetscCall(MatMPIAIJSetPreallocation(F,3,NULL,1,NULL));
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 20 PetscCall(NEPSetJacobian(nep,J,FormJacobian,&ctx));
96
97 /* Set options */
98
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 20 PetscCall(NEPSetType(nep,NEPSLP));
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 20 PetscCall(NEPSLPSetEPS(nep,eps));
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 20 PetscCall(NEPSLPSetKSP(nep,ksp));
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 20 PetscCall(NEPSetFromOptions(nep));
102
103 /* Print some options */
104
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 20 PetscCall(PetscObjectTypeCompare((PetscObject)nep,NEPSLP,&flag));
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 20 if (flag) {
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 20 PetscCall(NEPGetTwoSided(nep,&ts));
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 20 if (ts) {
108
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 10 PetscCall(NEPSLPGetDeflationThreshold(nep,&deftol));
109
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 10 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Two-sided solve with deflation threshold=%g\n",(double)deftol));
110 }
111 }
112
113 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
114 Solve the eigensystem
115 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
116
117
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 20 PetscCall(NEPSolve(nep));
118
119 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
120 Display solution and clean up
121 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
122
123 /* show detailed info unless -terse option is given by user */
124
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 20 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
125
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 20 if (terse) PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,NULL));
126 else {
127 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
128 ✗ PetscCall(NEPConvergedReasonView(nep,PETSC_VIEWER_STDOUT_WORLD));
129 ✗ PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
130 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
131 }
132
133
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 20 PetscCall(NEPDestroy(&nep));
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 20 PetscCall(EPSDestroy(&eps));
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 20 PetscCall(KSPDestroy(&ksp));
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 20 PetscCall(MatDestroy(&F));
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 20 PetscCall(MatDestroy(&J));
138
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 20 PetscCall(SlepcFinalize());
139 return 0;
140 }
141
142 /* ------------------------------------------------------------------- */
143 /*
144 FormFunction - Computes Function matrix T(lambda)
145
146 Input Parameters:
147 . nep - the NEP context
148 . lambda - the scalar argument
149 . ctx - optional user-defined context, as set by NEPSetFunction()
150
151 Output Parameters:
152 . fun - Function matrix
153 . B - optionally different preconditioning matrix
154 */
155 110 PetscErrorCode FormFunction(NEP nep,PetscScalar lambda,Mat fun,Mat B,void *ctx)
156 {
157 110 ApplicationCtx *user = (ApplicationCtx*)ctx;
158 110 PetscScalar A[3],c,d;
159 110 PetscReal h;
160 110 PetscInt i,n,j[3],Istart,Iend;
161 110 PetscBool FirstBlock=PETSC_FALSE,LastBlock=PETSC_FALSE;
162
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 110 PetscFunctionBeginUser;
164 /*
165 Compute Function entries and insert into matrix
166 */
167
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 110 PetscCall(MatGetSize(fun,&n,NULL));
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 110 PetscCall(MatGetOwnershipRange(fun,&Istart,&Iend));
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 110 if (Istart==0) FirstBlock=PETSC_TRUE;
170
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 110 if (Iend==n) LastBlock=PETSC_TRUE;
171 110 h = user->h;
172 110 c = user->kappa/(lambda-user->kappa);
173 110 d = n;
174
175 /*
176 Interior grid points
177 */
178
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 13970 for (i=(FirstBlock? Istart+1: Istart);i<(LastBlock? Iend-1: Iend);i++) {
179 13860 j[0] = i-1; j[1] = i; j[2] = i+1;
180 13860 A[0] = A[2] = -d-lambda*h/6.0; A[1] = 2.0*(d-lambda*h/3.0);
181
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 13860 PetscCall(MatSetValues(fun,1,&i,3,j,A,INSERT_VALUES));
182 }
183
184 /*
185 Boundary points
186 */
187
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 110 if (FirstBlock) {
188 110 i = 0;
189 110 j[0] = 0; j[1] = 1;
190 110 A[0] = 2.0*(d-lambda*h/3.0); A[1] = -d-lambda*h/6.0;
191
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 110 PetscCall(MatSetValues(fun,1,&i,2,j,A,INSERT_VALUES));
192 }
193
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 110 if (LastBlock) {
195 110 i = n-1;
196 110 j[0] = n-2; j[1] = n-1;
197 110 A[0] = -d-lambda*h/6.0; A[1] = d-lambda*h/3.0+lambda*c;
198
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 110 PetscCall(MatSetValues(fun,1,&i,2,j,A,INSERT_VALUES));
199 }
200
201 /*
202 Assemble matrix
203 */
204
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 110 PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
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 110 PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
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 110 if (fun != B) {
207 ✗ PetscCall(MatAssemblyBegin(fun,MAT_FINAL_ASSEMBLY));
208 ✗ PetscCall(MatAssemblyEnd(fun,MAT_FINAL_ASSEMBLY));
209 }
210
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 22 PetscFunctionReturn(PETSC_SUCCESS);
211 }
212
213 /* ------------------------------------------------------------------- */
214 /*
215 FormJacobian - Computes Jacobian matrix T'(lambda)
216
217 Input Parameters:
218 . nep - the NEP context
219 . lambda - the scalar argument
220 . ctx - optional user-defined context, as set by NEPSetJacobian()
221
222 Output Parameters:
223 . jac - Jacobian matrix
224 . B - optionally different preconditioning matrix
225 */
226 40 PetscErrorCode FormJacobian(NEP nep,PetscScalar lambda,Mat jac,void *ctx)
227 {
228 40 ApplicationCtx *user = (ApplicationCtx*)ctx;
229 40 PetscScalar A[3],c;
230 40 PetscReal h;
231 40 PetscInt i,n,j[3],Istart,Iend;
232 40 PetscBool FirstBlock=PETSC_FALSE,LastBlock=PETSC_FALSE;
233
234
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 40 PetscFunctionBeginUser;
235 /*
236 Compute Jacobian entries and insert into matrix
237 */
238
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 40 PetscCall(MatGetSize(jac,&n,NULL));
239
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 40 PetscCall(MatGetOwnershipRange(jac,&Istart,&Iend));
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 40 if (Istart==0) FirstBlock=PETSC_TRUE;
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 40 if (Iend==n) LastBlock=PETSC_TRUE;
242 40 h = user->h;
243 40 c = user->kappa/(lambda-user->kappa);
244
245 /*
246 Interior grid points
247 */
248
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 5080 for (i=(FirstBlock? Istart+1: Istart);i<(LastBlock? Iend-1: Iend);i++) {
249 5040 j[0] = i-1; j[1] = i; j[2] = i+1;
250 5040 A[0] = A[2] = -h/6.0; A[1] = -2.0*h/3.0;
251
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 5040 PetscCall(MatSetValues(jac,1,&i,3,j,A,INSERT_VALUES));
252 }
253
254 /*
255 Boundary points
256 */
257
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 40 if (FirstBlock) {
258 40 i = 0;
259 40 j[0] = 0; j[1] = 1;
260 40 A[0] = -2.0*h/3.0; A[1] = -h/6.0;
261
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 40 PetscCall(MatSetValues(jac,1,&i,2,j,A,INSERT_VALUES));
262 }
263
264
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 40 if (LastBlock) {
265 40 i = n-1;
266 40 j[0] = n-2; j[1] = n-1;
267 40 A[0] = -h/6.0; A[1] = -h/3.0-c*c;
268
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 40 PetscCall(MatSetValues(jac,1,&i,2,j,A,INSERT_VALUES));
269 }
270
271 /*
272 Assemble matrix
273 */
274
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 40 PetscCall(MatAssemblyBegin(jac,MAT_FINAL_ASSEMBLY));
275
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 40 PetscCall(MatAssemblyEnd(jac,MAT_FINAL_ASSEMBLY));
276
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 8 PetscFunctionReturn(PETSC_SUCCESS);
277 }
278
279 /*TEST
280
281 test:
282 args: -nep_target 21 -terse
283 requires: !single
284 test:
285 suffix: 1
286 test:
287 suffix: 1_ts
288 args: -nep_two_sided
289
290 TEST*/
291