Actual source code: test1.c
slepc-3.17.0 2022-03-31
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;
26: SlepcInitialize(&argc,&argv,(char*)0,help);
27: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
28: PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag);
29: if (!flag) m=n;
30: N = n*m;
31: PetscPrintf(PETSC_COMM_WORLD,"\nGeneralized Symmetric Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m);
32: PetscOptionsGetBool(NULL,NULL,"-skiporth",&skiporth,NULL);
34: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
35: Compute the matrices that define the eigensystem, Ax=kBx
36: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
38: MatCreate(PETSC_COMM_WORLD,&A);
39: MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);
40: MatSetFromOptions(A);
41: MatSetUp(A);
43: MatCreate(PETSC_COMM_WORLD,&B);
44: MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,N,N);
45: MatSetFromOptions(B);
46: MatSetUp(B);
48: MatGetOwnershipRange(A,&Istart,&Iend);
49: for (II=Istart;II<Iend;II++) {
50: i = II/n; j = II-i*n;
51: if (i>0) MatSetValue(A,II,II-n,-1.0,INSERT_VALUES);
52: if (i<m-1) MatSetValue(A,II,II+n,-1.0,INSERT_VALUES);
53: if (j>0) MatSetValue(A,II,II-1,-1.0,INSERT_VALUES);
54: if (j<n-1) MatSetValue(A,II,II+1,-1.0,INSERT_VALUES);
55: MatSetValue(A,II,II,4.0,INSERT_VALUES);
56: MatSetValue(B,II,II,2.0/PetscLogScalar(II+2),INSERT_VALUES);
57: }
59: MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
60: MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
61: MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
62: MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
63: MatCreateVecs(B,&v,NULL);
65: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
66: Create the eigensolver and set various options
67: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
69: EPSCreate(PETSC_COMM_WORLD,&eps);
70: EPSSetOperators(eps,A,B);
71: EPSSetProblemType(eps,EPS_GHEP);
72: EPSSetTolerances(eps,tol,PETSC_DEFAULT);
73: EPSSetConvergenceTest(eps,EPS_CONV_NORM);
74: EPSSetFromOptions(eps);
76: /* illustrate how to extract parameters from specific solver types */
77: PetscObjectTypeCompare((PetscObject)eps,EPSPOWER,&flag);
78: if (flag) {
79: EPSGetST(eps,&st);
80: PetscObjectTypeCompare((PetscObject)st,STSHIFT,&flag);
81: if (flag) {
82: EPSPowerGetShiftType(eps,&variant);
83: PetscPrintf(PETSC_COMM_WORLD,"Type of shifts used during power iteration: %s\n",EPSPowerShiftTypes[variant]);
84: }
85: }
87: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
88: Solve the eigensystem
89: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
91: EPSSolve(eps);
93: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
94: Display solution and clean up
95: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
97: EPSGetTolerances(eps,&tol,NULL);
98: EPSErrorView(eps,EPS_ERROR_BACKWARD,NULL);
99: EPSGetConverged(eps,&nconv);
100: if (nconv>1) {
101: VecDuplicateVecs(v,nconv,&X);
102: for (i=0;i<nconv;i++) EPSGetEigenvector(eps,i,X[i],NULL);
103: if (!skiporth) VecCheckOrthonormality(X,nconv,NULL,nconv,B,NULL,&lev);
104: if (lev<10*tol) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n");
105: else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)lev);
106: VecDestroyVecs(nconv,&X);
107: }
109: EPSDestroy(&eps);
110: MatDestroy(&A);
111: MatDestroy(&B);
112: VecDestroy(&v);
113: SlepcFinalize();
114: return 0;
115: }
117: /*TEST
119: testset:
120: args: -n 18 -eps_nev 4 -eps_max_it 1500
121: requires: !single
122: output_file: output/test1_1.out
123: test:
124: suffix: 1
125: args: -eps_type {{krylovschur arnoldi gd jd lapack}}
126: test:
127: suffix: 1_subspace
128: args: -eps_type subspace -eps_conv_rel
129: test:
130: suffix: 1_ks_nopurify
131: args: -eps_purify 0
132: test:
133: suffix: 1_ks_trueres
134: args: -eps_true_residual
135: test:
136: suffix: 1_ks_sinvert
137: args: -st_type sinvert -eps_target 22
138: test:
139: suffix: 1_ks_cayley
140: args: -st_type cayley -eps_target 22
141: test:
142: suffix: 1_lanczos
143: args: -eps_type lanczos -eps_lanczos_reorthog full
144: test:
145: suffix: 1_gd2
146: args: -eps_type gd -eps_gd_double_expansion
147: test:
148: suffix: 1_gd_borth
149: args: -eps_type gd -eps_gd_borth
150: test:
151: suffix: 1_jd_borth
152: args: -eps_type jd -eps_jd_borth
153: test:
154: suffix: 1_lobpcg
155: args: -eps_type lobpcg -st_shift 22 -eps_largest_real
156: test:
157: suffix: 1_hpddm
158: requires: hpddm
159: args: -eps_type lobpcg -st_shift 22 -eps_largest_real -st_pc_type lu -st_ksp_type hpddm
160: test:
161: suffix: 1_cholesky
162: args: -mat_type sbaij
163: test:
164: suffix: 1_scalapack
165: nsize: {{1 2 3}}
166: requires: scalapack
167: args: -eps_type scalapack
168: test:
169: suffix: 1_elpa
170: nsize: {{1 2 3}}
171: requires: elpa
172: args: -eps_type elpa
173: filter: grep -v "Buffering level"
174: test:
175: suffix: 1_elemental
176: nsize: {{1 2}}
177: requires: elemental
178: args: -eps_type elemental
180: testset:
181: args: -n 18 -eps_type ciss -rg_interval_endpoints 20.8,22
182: requires: !single
183: output_file: output/test1_1_ciss.out
184: test:
185: suffix: 1_ciss
186: args: -eps_ciss_extraction {{ritz hankel}}
187: test:
188: suffix: 1_ciss_ksps
189: args: -eps_ciss_usest 0 -eps_ciss_integration_points 12
190: test:
191: suffix: 1_ciss_gnhep
192: args: -eps_gen_non_hermitian -skiporth
193: test:
194: suffix: 1_ciss_trapezoidal
195: args: -eps_ciss_quadrule trapezoidal -eps_ciss_integration_points 24 -eps_ciss_extraction hankel -eps_ciss_delta 1e-10 -eps_tol 5e-11 -skiporth
196: test:
197: suffix: 1_ciss_cuda
198: args: -mat_type aijcusparse -st_pc_factor_mat_solver_type cusparse
199: requires: cuda
201: testset:
202: requires: !single
203: args: -eps_tol 1e-10 -st_type sinvert -st_ksp_type preonly -st_pc_type cholesky
204: test:
205: suffix: 2
206: args: -eps_interval .1,1.1
207: test:
208: suffix: 2_open
209: args: -eps_interval -inf,1.1
210: test:
211: suffix: 2_parallel
212: requires: mumps !complex
213: nsize: 3
214: args: -eps_interval .1,1.1 -eps_krylovschur_partitions 2 -st_pc_factor_mat_solver_type mumps -st_mat_mumps_icntl_13 1
215: output_file: output/test1_2.out
217: test:
218: suffix: 3
219: requires: !single
220: args: -n 18 -eps_type power -eps_conv_rel -eps_nev 3
222: test:
223: suffix: 4
224: requires: !single
225: 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}}
227: testset:
228: args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type icc
229: output_file: output/test1_5.out
230: test:
231: suffix: 5_rqcg
232: args: -eps_type rqcg
233: test:
234: suffix: 5_lobpcg
235: args: -eps_type lobpcg -eps_lobpcg_blocksize 3
236: test:
237: suffix: 5_hpddm
238: args: -eps_type lobpcg -eps_lobpcg_blocksize 3 -st_pc_type lu -st_ksp_type hpddm
239: requires: hpddm
240: test:
241: suffix: 5_blopex
242: args: -eps_type blopex -eps_conv_abs -st_shift 0.1
243: requires: blopex
245: testset:
246: args: -n 18 -eps_nev 12 -eps_mpd 8 -eps_max_it 3000
247: requires: !single
248: output_file: output/test1_6.out
249: test:
250: suffix: 6
251: args: -eps_type {{krylovschur arnoldi gd}}
252: test:
253: suffix: 6_lanczos
254: args: -eps_type lanczos -eps_lanczos_reorthog full
255: test:
256: suffix: 6_subspace
257: args: -eps_type subspace -eps_conv_rel
259: testset:
260: args: -n 18 -eps_nev 4 -eps_max_it 1500 -mat_type aijcusparse
261: requires: cuda !single
262: output_file: output/test1_1.out
263: test:
264: suffix: 7
265: args: -eps_type {{krylovschur arnoldi gd jd}}
266: test:
267: suffix: 7_subspace
268: args: -eps_type subspace -eps_conv_rel
269: test:
270: suffix: 7_ks_sinvert
271: args: -st_type sinvert -eps_target 22
272: test:
273: suffix: 7_lanczos
274: args: -eps_type lanczos -eps_lanczos_reorthog full
275: test:
276: suffix: 7_ciss
277: args: -eps_type ciss -rg_interval_endpoints 20.8,22 -st_pc_factor_mat_solver_type cusparse
278: output_file: output/test1_1_ciss.out
280: testset:
281: args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type sor -mat_type aijcusparse
282: requires: cuda
283: output_file: output/test1_5.out
284: test:
285: suffix: 8_rqcg
286: args: -eps_type rqcg
287: test:
288: suffix: 8_lobpcg
289: args: -eps_type lobpcg -eps_lobpcg_blocksize 3
291: testset:
292: nsize: 2
293: args: -n 18 -eps_nev 7 -eps_ncv 32 -ds_parallel synchronized
294: filter: grep -v "orthogonality"
295: output_file: output/test1_9.out
296: test:
297: suffix: 9_ks_ghep
298: args: -eps_gen_hermitian -st_pc_type redundant -st_type sinvert
299: test:
300: suffix: 9_ks_gnhep
301: args: -eps_gen_non_hermitian -st_pc_type redundant -st_type sinvert
302: test:
303: suffix: 9_ks_ghiep
304: args: -eps_gen_indefinite -st_pc_type redundant -st_type sinvert
305: requires: !single
306: test:
307: suffix: 9_lobpcg_ghep
308: args: -eps_gen_hermitian -eps_type lobpcg -eps_max_it 200 -eps_lobpcg_blocksize 6
309: requires: !single
310: timeoutfactor: 2
311: test:
312: suffix: 9_jd_gnhep
313: args: -eps_gen_non_hermitian -eps_type jd -eps_target 0 -eps_ncv 64
314: requires: !single
315: timeoutfactor: 2
317: test:
318: suffix: 10_feast
319: args: -n 25 -eps_type feast -eps_interval .95,1.1 -eps_conv_rel -eps_tol 1e-6
320: requires: feast
322: TEST*/