GCC Code Coverage Report

Directory: ./
File: src/nep/tests/test1.c
Date: 2025-10-03 04:28:47
Exec Total Coverage
Lines: 95 101 94.1%
Functions: 3 3 100.0%
Branches: 182 326 55.8%
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[] = "Simple 1-D nonlinear eigenproblem.\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 38 int main(int argc,char **argv)
40 {
41 38 NEP nep; /* nonlinear eigensolver context */
42 38 Mat F,J; /* Function and Jacobian matrices */
43 38 ApplicationCtx ctx; /* user-defined context */
44 38 PetscInt n=128;
45 38 PetscBool terse;
46
47
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 38 PetscFunctionBeginUser;
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 38 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 38 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 38 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Nonlinear Eigenproblem, n=%" PetscInt_FMT "\n\n",n));
51 38 ctx.h = 1.0/(PetscReal)n;
52 38 ctx.kappa = 1.0;
53
54 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
55 Prepare nonlinear eigensolver context
56 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
57
58
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 38 PetscCall(NEPCreate(PETSC_COMM_WORLD,&nep));
59
60 /*
61 Create Function and Jacobian matrices; set evaluation routines
62 */
63
64
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 38 PetscCall(MatCreate(PETSC_COMM_WORLD,&F));
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 38 PetscCall(MatSetSizes(F,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 38 PetscCall(MatSetFromOptions(F));
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 38 PetscCall(MatSeqAIJSetPreallocation(F,3,NULL));
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 38 PetscCall(MatMPIAIJSetPreallocation(F,3,NULL,1,NULL));
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 38 PetscCall(NEPSetFunction(nep,F,F,FormFunction,&ctx));
70
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 38 PetscCall(MatCreate(PETSC_COMM_WORLD,&J));
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 38 PetscCall(MatSetSizes(J,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 38 PetscCall(MatSetFromOptions(J));
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 38 PetscCall(MatSeqAIJSetPreallocation(J,3,NULL));
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 38 PetscCall(MatMPIAIJSetPreallocation(F,3,NULL,1,NULL));
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 38 PetscCall(NEPSetJacobian(nep,J,FormJacobian,&ctx));
77
78
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 38 PetscCall(NEPSetFromOptions(nep));
79
80 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
81 Solve the eigensystem
82 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
83
84
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 38 PetscCall(NEPSolve(nep));
85
86 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
87 Display solution and clean up
88 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
89
90 /* show detailed info unless -terse option is given by user */
91
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 38 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 38 if (terse) PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,NULL));
93 else {
94 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
95 ✗ PetscCall(NEPConvergedReasonView(nep,PETSC_VIEWER_STDOUT_WORLD));
96 ✗ PetscCall(NEPErrorView(nep,NEP_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
97 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
98 }
99
100
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 38 PetscCall(NEPDestroy(&nep));
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 38 PetscCall(MatDestroy(&F));
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 38 PetscCall(MatDestroy(&J));
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 38 PetscCall(SlepcFinalize());
104 return 0;
105 }
106
107 /* ------------------------------------------------------------------- */
108 /*
109 FormFunction - Computes Function matrix T(lambda)
110
111 Input Parameters:
112 . nep - the NEP context
113 . lambda - the scalar argument
114 . ctx - optional user-defined context, as set by NEPSetFunction()
115
116 Output Parameters:
117 . fun - Function matrix
118 . B - optionally different preconditioning matrix
119 */
120 444 PetscErrorCode FormFunction(NEP nep,PetscScalar lambda,Mat fun,Mat B,void *ctx)
121 {
122 444 ApplicationCtx *user = (ApplicationCtx*)ctx;
123 444 PetscScalar A[3],c,d;
124 444 PetscReal h;
125 444 PetscInt i,n,j[3],Istart,Iend;
126 444 PetscBool FirstBlock=PETSC_FALSE,LastBlock=PETSC_FALSE;
127
128
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 444 PetscFunctionBeginUser;
129 /*
130 Compute Function entries and insert into matrix
131 */
132
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 444 PetscCall(MatGetSize(fun,&n,NULL));
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 444 PetscCall(MatGetOwnershipRange(fun,&Istart,&Iend));
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 444 if (Istart==0) FirstBlock=PETSC_TRUE;
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 444 if (Iend==n) LastBlock=PETSC_TRUE;
136 444 h = user->h;
137 444 c = user->kappa/(lambda-user->kappa);
138 444 d = n;
139
140 /*
141 Interior grid points
142 */
143
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 56388 for (i=(FirstBlock? Istart+1: Istart);i<(LastBlock? Iend-1: Iend);i++) {
144 55944 j[0] = i-1; j[1] = i; j[2] = i+1;
145 55944 A[0] = A[2] = -d-lambda*h/6.0; A[1] = 2.0*(d-lambda*h/3.0);
146
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 55944 PetscCall(MatSetValues(fun,1,&i,3,j,A,INSERT_VALUES));
147 }
148
149 /*
150 Boundary points
151 */
152
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 444 if (FirstBlock) {
153 444 i = 0;
154 444 j[0] = 0; j[1] = 1;
155 444 A[0] = 2.0*(d-lambda*h/3.0); A[1] = -d-lambda*h/6.0;
156
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 444 PetscCall(MatSetValues(fun,1,&i,2,j,A,INSERT_VALUES));
157 }
158
159
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 444 if (LastBlock) {
160 444 i = n-1;
161 444 j[0] = n-2; j[1] = n-1;
162 444 A[0] = -d-lambda*h/6.0; A[1] = d-lambda*h/3.0+lambda*c;
163
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 444 PetscCall(MatSetValues(fun,1,&i,2,j,A,INSERT_VALUES));
164 }
165
166 /*
167 Assemble matrix
168 */
169
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 444 PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
170
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 444 PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
171
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 444 if (fun != B) {
172 ✗ PetscCall(MatAssemblyBegin(fun,MAT_FINAL_ASSEMBLY));
173 ✗ PetscCall(MatAssemblyEnd(fun,MAT_FINAL_ASSEMBLY));
174 }
175
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 67 PetscFunctionReturn(PETSC_SUCCESS);
176 }
177
178 /* ------------------------------------------------------------------- */
179 /*
180 FormJacobian - Computes Jacobian matrix T'(lambda)
181
182 Input Parameters:
183 . nep - the NEP context
184 . lambda - the scalar argument
185 . ctx - optional user-defined context, as set by NEPSetJacobian()
186
187 Output Parameters:
188 . jac - Jacobian matrix
189 . B - optionally different preconditioning matrix
190 */
191 324 PetscErrorCode FormJacobian(NEP nep,PetscScalar lambda,Mat jac,void *ctx)
192 {
193 324 ApplicationCtx *user = (ApplicationCtx*)ctx;
194 324 PetscScalar A[3],c;
195 324 PetscReal h;
196 324 PetscInt i,n,j[3],Istart,Iend;
197 324 PetscBool FirstBlock=PETSC_FALSE,LastBlock=PETSC_FALSE;
198
199
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 324 PetscFunctionBeginUser;
200 /*
201 Compute Jacobian entries and insert into matrix
202 */
203
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 324 PetscCall(MatGetSize(jac,&n,NULL));
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 324 PetscCall(MatGetOwnershipRange(jac,&Istart,&Iend));
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 324 if (Istart==0) FirstBlock=PETSC_TRUE;
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 324 if (Iend==n) LastBlock=PETSC_TRUE;
207 324 h = user->h;
208 324 c = user->kappa/(lambda-user->kappa);
209
210 /*
211 Interior grid points
212 */
213
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 41148 for (i=(FirstBlock? Istart+1: Istart);i<(LastBlock? Iend-1: Iend);i++) {
214 40824 j[0] = i-1; j[1] = i; j[2] = i+1;
215 40824 A[0] = A[2] = -h/6.0; A[1] = -2.0*h/3.0;
216
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 40824 PetscCall(MatSetValues(jac,1,&i,3,j,A,INSERT_VALUES));
217 }
218
219 /*
220 Boundary points
221 */
222
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 324 if (FirstBlock) {
223 324 i = 0;
224 324 j[0] = 0; j[1] = 1;
225 324 A[0] = -2.0*h/3.0; A[1] = -h/6.0;
226
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 324 PetscCall(MatSetValues(jac,1,&i,2,j,A,INSERT_VALUES));
227 }
228
229
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 324 if (LastBlock) {
230 324 i = n-1;
231 324 j[0] = n-2; j[1] = n-1;
232 324 A[0] = -h/6.0; A[1] = -h/3.0-c*c;
233
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 324 PetscCall(MatSetValues(jac,1,&i,2,j,A,INSERT_VALUES));
234 }
235
236 /*
237 Assemble matrix
238 */
239
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 324 PetscCall(MatAssemblyBegin(jac,MAT_FINAL_ASSEMBLY));
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 324 PetscCall(MatAssemblyEnd(jac,MAT_FINAL_ASSEMBLY));
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 47 PetscFunctionReturn(PETSC_SUCCESS);
242 }
243
244 /*TEST
245
246 testset:
247 args: -nep_type {{rii slp}} -nep_target 21 -terse -nep_view_vectors ::ascii_info
248 filter: sed -e "s/\(0x[0-9a-fA-F]*\)/objectid/" | sed -e "s/[+-]0\.0*i//g"
249 test:
250 suffix: 1_real
251 requires: !single !complex
252 test:
253 suffix: 1
254 requires: !single complex
255
256 testset:
257 args: -nep_type {{rii slp}} -nep_target 21 -terse
258 filter: sed -e "s/[+-]0\.0*i//"
259 output_file: output/test3_1.out
260 test:
261 suffix: 2_cuda
262 args: -mat_type aijcusparse
263 requires: cuda !single
264 test:
265 suffix: 2_hip
266 args: -mat_type aijhipsparse
267 requires: hip !single
268
269 testset:
270 args: -nep_type slp -nep_two_sided -nep_target 21 -terse -nep_view_vectors ::ascii_info
271 filter: sed -e "s/\(0x[0-9a-fA-F]*\)/objectid/"
272 test:
273 suffix: 3_real
274 requires: !single !complex
275 test:
276 suffix: 3
277 requires: !single complex
278
279 TEST*/
280