GCC Code Coverage Report


Directory: ./
File: src/eps/tests/test8.c
Date: 2025-10-03 04:28:47
Exec Total Coverage
Lines: 66 66 100.0%
Functions: 4 4 100.0%
Branches: 137 222 61.7%

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[] = "Solves the same eigenproblem as in example ex2, but using a shell matrix.\n\n"
12 "The problem is a standard symmetric eigenproblem corresponding to the 2-D Laplacian operator.\n\n"
13 "The command line options are:\n"
14 " -n <n>, where <n> = number of grid subdivisions in both x and y dimensions.\n\n";
15
16 #include <slepceps.h>
17 #include <petscblaslapack.h>
18
19 /*
20 User-defined routines
21 */
22 PetscErrorCode MatMult_Laplacian2D(Mat A,Vec x,Vec y);
23 PetscErrorCode MatGetDiagonal_Laplacian2D(Mat A,Vec diag);
24
25 169 int main(int argc,char **argv)
26 {
27 169 Mat A; /* operator matrix */
28 169 EPS eps; /* eigenproblem solver context */
29 169 PetscReal tol=1000*PETSC_MACHINE_EPSILON;
30 169 PetscMPIInt size;
31 169 PetscInt N,n=10,nev;
32
33
1/2
✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.
169 PetscFunctionBeginUser;
34
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
35
14/28
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✓ Branch 3 taken 8 times.
✓ Branch 4 taken 2 times.
✗ Branch 5 not taken.
✓ Branch 6 taken 2 times.
✗ Branch 7 not taken.
✓ Branch 8 taken 2 times.
✗ Branch 9 not taken.
✗ Branch 10 not taken.
✓ Branch 11 taken 2 times.
✓ Branch 12 taken 2 times.
✗ Branch 13 not taken.
✗ Branch 14 not taken.
✓ Branch 15 taken 2 times.
✓ Branch 16 taken 2 times.
✗ Branch 17 not taken.
✓ Branch 18 taken 2 times.
✗ Branch 19 not taken.
✗ Branch 20 not taken.
✓ Branch 21 taken 2 times.
✗ Branch 22 not taken.
✗ Branch 23 not taken.
✗ Branch 24 not taken.
✓ Branch 25 taken 2 times.
✗ Branch 26 not taken.
✗ Branch 27 not taken.
169 PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD,&size));
36
1/4
✗ Branch 0 not taken.
✓ Branch 1 taken 10 times.
✗ Branch 2 not taken.
✗ Branch 3 not taken.
169 PetscCheck(size==1,PETSC_COMM_WORLD,PETSC_ERR_WRONG_MPI_SIZE,"This is a uniprocessor example only");
37
38
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
39 169 N = n*n;
40
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n2-D Laplacian Eigenproblem (matrix-free version), N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,n));
41
42 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
43 Compute the operator matrix that defines the eigensystem, Ax=kx
44 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
45
46
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(MatCreateShell(PETSC_COMM_WORLD,N,N,N,N,&n,&A));
47
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(MatShellSetOperation(A,MATOP_MULT,(PetscErrorCodeFn*)MatMult_Laplacian2D));
48
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(MatShellSetOperation(A,MATOP_MULT_TRANSPOSE,(PetscErrorCodeFn*)MatMult_Laplacian2D));
49
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(MatShellSetOperation(A,MATOP_GET_DIAGONAL,(PetscErrorCodeFn*)MatGetDiagonal_Laplacian2D));
50
51 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
52 Create the eigensolver and set various options
53 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
54
55 /*
56 Create eigensolver context
57 */
58
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
59
60 /*
61 Set operators. In this case, it is a standard eigenvalue problem
62 */
63
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(EPSSetOperators(eps,A,NULL));
64
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(EPSSetProblemType(eps,EPS_HEP));
65
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(EPSSetTolerances(eps,tol,PETSC_CURRENT));
66
67 /*
68 Set solver parameters at runtime
69 */
70
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(EPSSetFromOptions(eps));
71
72 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
73 Solve the eigensystem
74 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
75
76
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(EPSSolve(eps));
77
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(EPSGetDimensions(eps,&nev,NULL,NULL));
78
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %" PetscInt_FMT "\n",nev));
79
80 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
81 Display solution and clean up
82 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
83
84
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
85
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(EPSDestroy(&eps));
86
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
169 PetscCall(MatDestroy(&A));
87
3/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 2 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✗ Branch 5 not taken.
169 PetscCall(SlepcFinalize());
88 return 0;
89 }
90
91 /*
92 Compute the matrix vector multiplication y<---T*x where T is a nx by nx
93 tridiagonal matrix with DD on the diagonal, DL on the subdiagonal, and
94 DU on the superdiagonal.
95 */
96 9106310 static void tv(int nx,const PetscScalar *x,PetscScalar *y)
97 {
98 9106310 PetscScalar dd,dl,du;
99 9106310 int j;
100
101 9106310 dd = 4.0;
102 9106310 dl = -1.0;
103 9106310 du = -1.0;
104
105 9106310 y[0] = dd*x[0] + du*x[1];
106
2/2
✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.
150498190 for (j=1;j<nx-1;j++)
107 141391880 y[j] = dl*x[j-1] + dd*x[j] + du*x[j+1];
108 9106310 y[nx-1] = dl*x[nx-2] + dd*x[nx-1];
109 9106310 }
110
111 /*
112 Matrix-vector product subroutine for the 2D Laplacian.
113
114 The matrix used is the 2 dimensional discrete Laplacian on unit square with
115 zero Dirichlet boundary condition.
116
117 Computes y <-- A*x, where A is the block tridiagonal matrix
118
119 | T -I |
120 |-I T -I |
121 A = | -I T |
122 | ... -I|
123 | -I T|
124
125 The subroutine TV is called to compute y<--T*x.
126 */
127 567924 PetscErrorCode MatMult_Laplacian2D(Mat A,Vec x,Vec y)
128 {
129 567924 void *ctx;
130 567924 int nx,lo,i,j;
131 567924 const PetscScalar *px;
132 567924 PetscScalar *py;
133
134
1/2
✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.
567924 PetscFunctionBeginUser;
135
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
567924 PetscCall(MatShellGetContext(A,&ctx));
136 567924 nx = *(int*)ctx;
137
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
567924 PetscCall(VecGetArrayRead(x,&px));
138
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
567924 PetscCall(VecGetArray(y,&py));
139
140 567924 tv(nx,&px[0],&py[0]);
141
2/2
✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.
10242158 for (i=0;i<nx;i++) py[i] -= px[nx+i];
142
143
2/2
✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.
8538386 for (j=2;j<nx;j++) {
144 7970462 lo = (j-1)*nx;
145 7970462 tv(nx,&px[lo],&py[lo]);
146
2/2
✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.
157332804 for (i=0;i<nx;i++) py[lo+i] -= px[lo-nx+i] + px[lo+nx+i];
147 }
148
149 567924 lo = (nx-1)*nx;
150 567924 tv(nx,&px[lo],&py[lo]);
151
2/2
✓ Branch 0 taken 10 times.
✓ Branch 1 taken 10 times.
10242158 for (i=0;i<nx;i++) py[lo+i] -= px[lo-nx+i];
152
153
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
567924 PetscCall(VecRestoreArrayRead(x,&px));
154
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
567924 PetscCall(VecRestoreArray(y,&py));
155
5/12
✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.
✗ Branch 2 not taken.
✓ Branch 3 taken 2 times.
✓ Branch 4 taken 2 times.
✗ Branch 5 not taken.
✓ Branch 6 taken 2 times.
✗ Branch 7 not taken.
✗ Branch 8 not taken.
✓ Branch 9 taken 2 times.
✗ Branch 10 not taken.
✗ Branch 11 not taken.
121648 PetscFunctionReturn(PETSC_SUCCESS);
156 }
157
158 10 PetscErrorCode MatGetDiagonal_Laplacian2D(Mat A,Vec diag)
159 {
160
1/2
✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.
10 PetscFunctionBeginUser;
161
4/6
✓ Branch 0 taken 2 times.
✓ Branch 1 taken 8 times.
✓ Branch 2 taken 2 times.
✗ Branch 3 not taken.
✗ Branch 4 not taken.
✓ Branch 5 taken 2 times.
10 PetscCall(VecSet(diag,4.0));
162
5/12
✓ Branch 0 taken 2 times.
✗ Branch 1 not taken.
✗ Branch 2 not taken.
✓ Branch 3 taken 2 times.
✓ Branch 4 taken 2 times.
✗ Branch 5 not taken.
✓ Branch 6 taken 2 times.
✗ Branch 7 not taken.
✗ Branch 8 not taken.
✓ Branch 9 taken 2 times.
✗ Branch 10 not taken.
✗ Branch 11 not taken.
2 PetscFunctionReturn(PETSC_SUCCESS);
163 }
164
165 /*TEST
166
167 testset:
168 args: -n 20 -eps_nev 4 -eps_ncv 11 -eps_max_it 40000
169 requires: !single
170 output_file: output/test8_1.out
171 test:
172 suffix: 1
173 args: -eps_type {{power subspace arnoldi}}
174 test:
175 suffix: 1_lanczos
176 args: -eps_type lanczos -eps_lanczos_reorthog local
177 test:
178 suffix: 1_lapack
179 args: -eps_type lapack
180 timeoutfactor: 2
181 test:
182 suffix: 1_elemental
183 args: -eps_type elemental
184 requires: elemental
185 test:
186 suffix: 1_krylovschur_vecs
187 args: -bv_type vecs -bv_orthog_refine always -eps_ncv 10 -vec_mdot_use_gemv 0
188 test:
189 suffix: 1_jd
190 args: -eps_type jd -eps_jd_blocksize 3
191 requires: !__float128
192 test:
193 suffix: 1_gd
194 args: -eps_type gd -eps_gd_blocksize 3 -eps_tol 1e-8
195 test:
196 suffix: 1_gd2
197 args: -eps_type gd -eps_gd_double_expansion
198 test:
199 suffix: 1_primme
200 args: -eps_type primme -eps_conv_abs -eps_largest_magnitude
201 requires: primme
202
203 testset:
204 args: -eps_nev 4 -eps_smallest_real -eps_max_it 600
205 output_file: output/test8_2.out
206 test:
207 suffix: 2
208 args: -eps_type {{rqcg lobpcg}}
209 test:
210 suffix: 2_lanczos
211 args: -eps_type lanczos -eps_lanczos_reorthog local
212 test:
213 suffix: 2_arpack
214 args: -eps_type arpack -eps_ncv 6
215 requires: arpack !single
216 test:
217 suffix: 2_primme
218 args: -eps_type primme -eps_conv_abs -eps_primme_method lobpcg_orthobasisw -eps_ncv 24
219 requires: primme
220
221 testset:
222 args: -eps_nev 12 -eps_mpd 9 -eps_smallest_real -eps_max_it 1000
223 output_file: output/test8_3.out
224 test:
225 suffix: 3_rqcg
226 args: -eps_type rqcg
227 test:
228 suffix: 3_lanczos
229 args: -eps_type lanczos -eps_lanczos_reorthog local
230 test:
231 suffix: 3_lobpcg
232 args: -eps_type lobpcg -eps_lobpcg_blocksize 3 -eps_lobpcg_locking 0 -st_ksp_type preonly -st_pc_type jacobi -eps_lobpcg_checkprecond
233 requires: !__float128
234 test:
235 suffix: 3_lobpcg_quad
236 args: -eps_type lobpcg -eps_lobpcg_blocksize 3 -eps_lobpcg_locking 0 -st_ksp_type preonly -st_pc_type jacobi -eps_tol 1e-25
237 requires: __float128
238 TEST*/
239