GCC Code Coverage Report

Directory: ./
File: src/eps/tutorials/ex55.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 68 73 93.2%
Functions: 1 1 100.0%
Branches: 216 348 62.1%
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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[] = "Eigenvalue problem with Bethe-Salpeter structure.\n\n"
12 "The command line options are:\n"
13 " -n <n>, where <n> = dimension of the blocks.\n\n";
14
15 #include <slepceps.h>
16
17 /*
18 This example computes eigenvalues of a matrix
19
20 H = [ R C
21 -C^H -R^T ],
22
23 where R is Hermitian and C is complex symmetric. In particular, R and C have the
24 following Toeplitz structure:
25
26 R = pentadiag{a,b,c,conj(b),conj(a)}
27 C = tridiag{b,d,b}
28
29 where a,b,d are complex scalars, and c is real.
30 */
31
32 314 int main(int argc,char **argv)
33 {
34 314 Mat H,R,C; /* problem matrices */
35 314 EPS eps; /* eigenproblem solver context */
36 314 PetscScalar a,b,c,d;
37 314 PetscReal lev;
38 314 PetscInt n=24,Istart,Iend,i,nconv;
39 314 PetscBool terse,checkorthog;
40 314 Vec t,*x,*y;
41
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 314 PetscFunctionBeginUser;
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 314 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 314 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 314 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nBethe-Salpeter eigenproblem, n=%" PetscInt_FMT "\n\n",n));
47
48 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
49 Compute the problem matrices R and C
50 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
51
52 #if defined(PETSC_USE_COMPLEX)
53
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 165 a = PetscCMPLX(-0.1,0.2);
54 165 b = PetscCMPLX(1.0,0.5);
55 165 d = PetscCMPLX(2.0,0.2);
56 #else
57 149 a = -0.1;
58 149 b = 1.0;
59 149 d = 2.0;
60 #endif
61 314 c = 4.5;
62
63
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 314 PetscCall(MatCreate(PETSC_COMM_WORLD,&R));
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 314 PetscCall(MatSetSizes(R,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 314 PetscCall(MatSetFromOptions(R));
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 314 PetscCall(MatCreate(PETSC_COMM_WORLD,&C));
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 314 PetscCall(MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,n,n));
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 314 PetscCall(MatSetFromOptions(C));
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 314 PetscCall(MatGetOwnershipRange(R,&Istart,&Iend));
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 9578 for (i=Istart;i<Iend;i++) {
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 9264 if (i>1) PetscCall(MatSetValue(R,i,i-2,a,INSERT_VALUES));
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 9264 if (i>0) PetscCall(MatSetValue(R,i,i-1,b,INSERT_VALUES));
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 9264 PetscCall(MatSetValue(R,i,i,c,INSERT_VALUES));
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 9264 if (i<n-1) PetscCall(MatSetValue(R,i,i+1,PetscConj(b),INSERT_VALUES));
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 9264 if (i<n-2) PetscCall(MatSetValue(R,i,i+2,PetscConj(a),INSERT_VALUES));
78 }
79
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 314 PetscCall(MatGetOwnershipRange(C,&Istart,&Iend));
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 9578 for (i=Istart;i<Iend;i++) {
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 9264 if (i>0) PetscCall(MatSetValue(C,i,i-1,b,INSERT_VALUES));
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 9264 PetscCall(MatSetValue(C,i,i,d,INSERT_VALUES));
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 9264 if (i<n-1) PetscCall(MatSetValue(C,i,i+1,b,INSERT_VALUES));
85 }
86
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 314 PetscCall(MatAssemblyBegin(R,MAT_FINAL_ASSEMBLY));
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 314 PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY));
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 314 PetscCall(MatAssemblyEnd(R,MAT_FINAL_ASSEMBLY));
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 314 PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY));
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 314 PetscCall(MatCreateBSE(R,C,&H));
93
94 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
95 Create the eigensolver and set various options
96 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
97
98
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 314 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
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 314 PetscCall(EPSSetOperators(eps,H,NULL));
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 314 PetscCall(EPSSetProblemType(eps,EPS_BSE));
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 314 PetscCall(EPSSetFromOptions(eps));
102
103 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
104 Solve the eigensystem and display solution
105 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
106
107
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 314 PetscCall(EPSSolve(eps));
108
109 /* show detailed info unless -terse option is given by user */
110
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 314 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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 314 if (terse) PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL));
112 else {
113 ✗ PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL));
114 ✗ PetscCall(EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD));
115 ✗ PetscCall(EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD));
116 ✗ PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD));
117 }
118
119 /* check bi-orthogonality */
120
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 314 PetscCall(PetscOptionsHasName(NULL,NULL,"-checkorthog",&checkorthog));
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 314 PetscCall(EPSGetConverged(eps,&nconv));
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 314 if (checkorthog && nconv>0) {
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 231 PetscCall(MatCreateVecs(H,&t,NULL));
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 231 PetscCall(VecDuplicateVecs(t,nconv,&x));
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 231 PetscCall(VecDuplicateVecs(t,nconv,&y));
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 3623 for (i=0;i<nconv;i++) {
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 3392 PetscCall(EPSGetEigenvector(eps,i,x[i],NULL));
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 3392 PetscCall(EPSGetLeftEigenvector(eps,i,y[i],NULL));
129 }
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 231 PetscCall(VecCheckOrthogonality(x,nconv,y,nconv,NULL,NULL,&lev));
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 231 if (lev<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of bi-orthogonality of eigenvectors < 100*eps\n\n"));
132 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of bi-orthogonality of eigenvectors: %g\n\n",(double)lev));
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 231 PetscCall(VecDestroy(&t));
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 231 PetscCall(VecDestroyVecs(nconv,&x));
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 231 PetscCall(VecDestroyVecs(nconv,&y));
136 }
137
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 314 PetscCall(EPSDestroy(&eps));
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 314 PetscCall(MatDestroy(&R));
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 314 PetscCall(MatDestroy(&C));
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 314 PetscCall(MatDestroy(&H));
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 314 PetscCall(SlepcFinalize());
143 return 0;
144 }
145
146 /*TEST
147
148 testset:
149 args: -eps_nev 4 -eps_ncv 16 -eps_krylovschur_bse_type {{shao gruning projectedbse}} -terse -checkorthog
150 filter: sed -e "s/17496/17495/g" | sed -e "s/38566/38567/g"
151 nsize: {{1 2}}
152 test:
153 suffix: 1
154 requires: complex
155 test:
156 suffix: 1_real
157 requires: !complex
158 test:
159 suffix: 1_dense
160 args: -mat_type dense
161 requires: complex
162 output_file: output/ex55_1.out
163 test:
164 suffix: 1_cuda
165 args: -mat_type aijcusparse
166 requires: cuda complex
167 output_file: output/ex55_1.out
168 test:
169 suffix: 1_real_cuda
170 args: -mat_type aijcusparse
171 requires: cuda !complex
172 output_file: output/ex55_1_real.out
173 test:
174 suffix: 1_hip
175 args: -mat_type aijhipsparse
176 requires: hip complex
177 output_file: output/ex55_1.out
178 test:
179 suffix: 1_real_hip
180 args: -mat_type aijhipsparse
181 requires: hip !complex
182 output_file: output/ex55_1_real.out
183
184 testset:
185 args: -eps_nev 4 -eps_ncv 16 -eps_krylovschur_bse_type {{shao gruning projectedbse}} -st_type sinvert -terse
186 filter: sed -e "s/17496/17495/g" | sed -e "s/38566/38567/g"
187 test:
188 suffix: 1_sinvert
189 requires: complex
190 test:
191 nsize: 4
192 args: -mat_type scalapack
193 suffix: 1_sinvert_scalapack
194 requires: complex scalapack
195 output_file: output/ex55_1_sinvert.out
196 test:
197 suffix: 1_real_sinvert
198 requires: !complex
199 test:
200 nsize: 4
201 args: -mat_type scalapack
202 suffix: 1_real_sinvert_scalapack
203 requires: !complex scalapack
204 output_file: output/ex55_1_real_sinvert.out
205
206 testset:
207 args: -n 90 -eps_threshold_absolute 2.5 -eps_ncv {{10 24}} -eps_krylovschur_bse_type {{shao gruning projectedbse}} -eps_tol 1e-14 -terse -checkorthog
208 test:
209 suffix: 2
210 requires: double complex
211 test:
212 suffix: 2_real
213 requires: double !complex
214
215 testset:
216 args: -eps_nev 28 -eps_ncv 18 -terse
217 test:
218 suffix: 3
219 requires: !complex !single
220
221 TEST*/
222