Actual source code: test1.c
slepc-3.18.1 2022-11-02
1: /*
2: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3: SLEPc - Scalable Library for Eigenvalue Problem Computations
4: Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
6: This file is part of SLEPc.
7: SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9: */
11: static char help[] = "Tests B-orthonormality of eigenvectors in a GHEP problem.\n\n";
13: #include <slepceps.h>
15: int main(int argc,char **argv)
16: {
17: Mat A,B; /* matrices */
18: EPS eps; /* eigenproblem solver context */
19: ST st;
20: Vec *X,v;
21: PetscReal lev=0.0,tol=PETSC_SMALL;
22: PetscInt N,n=45,m,Istart,Iend,II,i,j,nconv;
23: PetscBool flag,skiporth=PETSC_FALSE;
24: EPSPowerShiftType variant;
27: SlepcInitialize(&argc,&argv,(char*)0,help);
28: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
29: PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag);
30: if (!flag) m=n;
31: N = n*m;
32: PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Symmetric Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m);
33: PetscOptionsGetBool(NULL,NULL,"-skiporth",&skiporth,NULL);
35: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
36: Compute the matrices that define the eigensystem, Ax=kBx
37: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
39: MatCreate(PETSC_COMM_WORLD,&A);
40: MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);
41: MatSetFromOptions(A);
42: MatSetUp(A);
44: MatCreate(PETSC_COMM_WORLD,&B);
45: MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N);
46: MatSetFromOptions(B);
47: MatSetUp(B);
49: MatGetOwnershipRange(A,&Istart,&Iend);
50: for (II=Istart;II<Iend;II++) {
51: i = II/n; j = II-i*n;
52: if (i>0) MatSetValue(A,II,II-n,-1.0,INSERT_VALUES);
53: if (i<m-1) MatSetValue(A,II,II+n,-1.0,INSERT_VALUES);
54: if (j>0) MatSetValue(A,II,II-1,-1.0,INSERT_VALUES);
55: if (j<n-1) MatSetValue(A,II,II+1,-1.0,INSERT_VALUES);
56: MatSetValue(A,II,II,4.0,INSERT_VALUES);
57: MatSetValue(B,II,II,2.0/PetscLogScalar(II+2),INSERT_VALUES);
58: }
60: MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
61: MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
62: MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
63: MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
64: MatCreateVecs(B,&v,NULL);
66: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
67: Create the eigensolver and set various options
68: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
70: EPSCreate(PETSC_COMM_WORLD,&eps);
71: EPSSetOperators(eps,A,B);
72: EPSSetProblemType(eps,EPS_GHEP);
73: EPSSetTolerances(eps,tol,PETSC_DEFAULT);
74: EPSSetConvergenceTest(eps,EPS_CONV_NORM);
75: EPSSetFromOptions(eps);
77: /* illustrate how to extract parameters from specific solver types */
78: PetscObjectTypeCompare((PetscObject)eps,EPSPOWER,&flag);
79: if (flag) {
80: EPSGetST(eps,&st);
81: PetscObjectTypeCompare((PetscObject)st,STSHIFT,&flag);
82: if (flag) {
83: EPSPowerGetShiftType(eps,&variant);
84: PetscPrintf(PETSC_COMM_WORLD,"Type of shifts used during power iteration: %s\n",EPSPowerShiftTypes[variant]);
85: }
86: }
88: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
89: Solve the eigensystem
90: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
92: EPSSolve(eps);
94: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
95: Display solution and clean up
96: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
98: EPSGetTolerances(eps,&tol,NULL);
99: EPSErrorView(eps,EPS_ERROR_BACKWARD,NULL);
100: EPSGetConverged(eps,&nconv);
101: if (nconv>1) {
102: VecDuplicateVecs(v,nconv,&X);
103: for (i=0;i<nconv;i++) EPSGetEigenvector(eps,i,X[i],NULL);
104: if (!skiporth) VecCheckOrthonormality(X,nconv,NULL,nconv,B,NULL,&lev);
105: if (lev<10*tol) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n");
106: else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)lev);
107: VecDestroyVecs(nconv,&X);
108: }
110: EPSDestroy(&eps);
111: MatDestroy(&A);
112: MatDestroy(&B);
113: VecDestroy(&v);
114: SlepcFinalize();
115: return 0;
116: }
118: /*TEST
120: testset:
121: args: -n 18 -eps_nev 4 -eps_max_it 1500
122: requires: !single
123: output_file: output/test1_1.out
124: test:
125: suffix: 1
126: args: -eps_type {{krylovschur arnoldi gd jd lapack}}
127: test:
128: suffix: 1_subspace
129: args: -eps_type subspace -eps_conv_rel
130: test:
131: suffix: 1_ks_nopurify
132: args: -eps_purify 0
133: test:
134: suffix: 1_ks_trueres
135: args: -eps_true_residual
136: test:
137: suffix: 1_ks_sinvert
138: args: -st_type sinvert -eps_target 22
139: test:
140: suffix: 1_ks_cayley
141: args: -st_type cayley -eps_target 22
142: test:
143: suffix: 1_lanczos
144: args: -eps_type lanczos -eps_lanczos_reorthog full
145: test:
146: suffix: 1_gd2
147: args: -eps_type gd -eps_gd_double_expansion
148: test:
149: suffix: 1_gd_borth
150: args: -eps_type gd -eps_gd_borth
151: test:
152: suffix: 1_jd_borth
153: args: -eps_type jd -eps_jd_borth
154: test:
155: suffix: 1_lobpcg
156: args: -eps_type lobpcg -st_shift 22 -eps_largest_real
157: test:
158: suffix: 1_hpddm
159: requires: hpddm
160: args: -eps_type lobpcg -st_shift 22 -eps_largest_real -st_pc_type lu -st_ksp_type hpddm
161: test:
162: suffix: 1_cholesky
163: args: -mat_type sbaij
164: test:
165: suffix: 1_scalapack
166: nsize: {{1 2 3}}
167: requires: scalapack
168: args: -eps_type scalapack
169: test:
170: suffix: 1_elpa
171: nsize: {{1 2 3}}
172: requires: elpa
173: args: -eps_type elpa
174: filter: grep -v "Buffering level"
175: test:
176: suffix: 1_elemental
177: nsize: {{1 2}}
178: requires: elemental
179: args: -eps_type elemental
181: testset:
182: args: -n 18 -eps_type ciss -rg_interval_endpoints 20.8,22
183: requires: !single
184: output_file: output/test1_1_ciss.out
185: test:
186: suffix: 1_ciss
187: args: -eps_ciss_extraction {{ritz hankel}}
188: test:
189: suffix: 1_ciss_ksps
190: args: -eps_ciss_usest 0 -eps_ciss_integration_points 12
191: test:
192: suffix: 1_ciss_gnhep
193: args: -eps_gen_non_hermitian -skiporth
194: test:
195: suffix: 1_ciss_trapezoidal
196: args: -eps_ciss_quadrule trapezoidal -eps_ciss_integration_points 24 -eps_ciss_extraction hankel -eps_ciss_delta 1e-10 -eps_tol 5e-11 -skiporth
197: test:
198: suffix: 1_ciss_cuda
199: args: -mat_type aijcusparse -st_pc_factor_mat_solver_type cusparse
200: requires: cuda
202: testset:
203: requires: !single
204: args: -eps_tol 1e-10 -st_type sinvert -st_ksp_type preonly -st_pc_type cholesky
205: test:
206: suffix: 2
207: args: -eps_interval .1,1.1
208: test:
209: suffix: 2_open
210: args: -eps_interval -inf,1.1
211: test:
212: suffix: 2_parallel
213: requires: mumps !complex
214: nsize: 3
215: args: -eps_interval .1,1.1 -eps_krylovschur_partitions 2 -st_pc_factor_mat_solver_type mumps -st_mat_mumps_icntl_13 1
216: output_file: output/test1_2.out
218: test:
219: suffix: 3
220: requires: !single
221: args: -n 18 -eps_type power -eps_conv_rel -eps_nev 3
223: test:
224: suffix: 4
225: requires: !single
226: args: -n 18 -eps_type power -eps_conv_rel -eps_nev 3 -st_type sinvert -eps_target 1.149 -eps_power_shift_type {{constant rayleigh wilkinson}}
228: testset:
229: args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type icc
230: output_file: output/test1_5.out
231: test:
232: suffix: 5_rqcg
233: args: -eps_type rqcg
234: test:
235: suffix: 5_lobpcg
236: args: -eps_type lobpcg -eps_lobpcg_blocksize 3
237: test:
238: suffix: 5_hpddm
239: args: -eps_type lobpcg -eps_lobpcg_blocksize 3 -st_pc_type lu -st_ksp_type hpddm
240: requires: hpddm
241: test:
242: suffix: 5_blopex
243: args: -eps_type blopex -eps_conv_abs -st_shift 0.1
244: requires: blopex
246: testset:
247: args: -n 18 -eps_nev 12 -eps_mpd 8 -eps_max_it 3000
248: requires: !single
249: output_file: output/test1_6.out
250: test:
251: suffix: 6
252: args: -eps_type {{krylovschur arnoldi gd}}
253: test:
254: suffix: 6_lanczos
255: args: -eps_type lanczos -eps_lanczos_reorthog full
256: test:
257: suffix: 6_subspace
258: args: -eps_type subspace -eps_conv_rel
260: testset:
261: args: -n 18 -eps_nev 4 -eps_max_it 1500 -mat_type aijcusparse
262: requires: cuda !single
263: output_file: output/test1_1.out
264: test:
265: suffix: 7
266: args: -eps_type {{krylovschur arnoldi gd jd}}
267: test:
268: suffix: 7_subspace
269: args: -eps_type subspace -eps_conv_rel
270: test:
271: suffix: 7_ks_sinvert
272: args: -st_type sinvert -eps_target 22
273: test:
274: suffix: 7_lanczos
275: args: -eps_type lanczos -eps_lanczos_reorthog full
276: test:
277: suffix: 7_ciss
278: args: -eps_type ciss -rg_interval_endpoints 20.8,22 -st_pc_factor_mat_solver_type cusparse
279: output_file: output/test1_1_ciss.out
281: testset:
282: args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type sor -mat_type aijcusparse
283: requires: cuda
284: output_file: output/test1_5.out
285: test:
286: suffix: 8_rqcg
287: args: -eps_type rqcg
288: test:
289: suffix: 8_lobpcg
290: args: -eps_type lobpcg -eps_lobpcg_blocksize 3
292: testset:
293: nsize: 2
294: args: -n 18 -eps_nev 7 -eps_ncv 32 -ds_parallel synchronized
295: filter: grep -v "orthogonality"
296: output_file: output/test1_9.out
297: test:
298: suffix: 9_ks_ghep
299: args: -eps_gen_hermitian -st_pc_type redundant -st_type sinvert
300: test:
301: suffix: 9_ks_gnhep
302: args: -eps_gen_non_hermitian -st_pc_type redundant -st_type sinvert
303: test:
304: suffix: 9_ks_ghiep
305: args: -eps_gen_indefinite -st_pc_type redundant -st_type sinvert
306: requires: !single
307: test:
308: suffix: 9_lobpcg_ghep
309: args: -eps_gen_hermitian -eps_type lobpcg -eps_max_it 200 -eps_lobpcg_blocksize 6
310: requires: !single
311: timeoutfactor: 2
312: test:
313: suffix: 9_jd_gnhep
314: args: -eps_gen_non_hermitian -eps_type jd -eps_target 0 -eps_ncv 64
315: requires: !single
316: timeoutfactor: 2
318: test:
319: suffix: 10_feast
320: args: -n 25 -eps_type feast -eps_interval .95,1.1 -eps_conv_rel -eps_tol 1e-6
321: requires: feast
323: TEST*/