Actual source code: test1.c
slepc-3.16.0 2021-09-30
1: /*
2: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3: SLEPc - Scalable Library for Eigenvalue Problem Computations
4: Copyright (c) 2002-2021, 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;
25: PetscErrorCode ierr;
27: SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
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=%D (%Dx%D 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++) {
104: EPSGetEigenvector(eps,i,X[i],NULL);
105: }
106: if (!skiporth) { VecCheckOrthonormality(X,nconv,NULL,nconv,B,NULL,&lev); }
107: if (lev<10*tol) {
108: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n");
109: } else {
110: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)lev);
111: }
112: VecDestroyVecs(nconv,&X);
113: }
115: EPSDestroy(&eps);
116: MatDestroy(&A);
117: MatDestroy(&B);
118: VecDestroy(&v);
119: SlepcFinalize();
120: return ierr;
121: }
123: /*TEST
125: testset:
126: args: -n 18 -eps_nev 4 -eps_max_it 1500
127: requires: !single
128: output_file: output/test1_1.out
129: test:
130: suffix: 1
131: args: -eps_type {{krylovschur arnoldi gd jd lapack}}
132: test:
133: suffix: 1_subspace
134: args: -eps_type subspace -eps_conv_rel
135: test:
136: suffix: 1_ks_nopurify
137: args: -eps_purify 0
138: test:
139: suffix: 1_ks_trueres
140: args: -eps_true_residual
141: test:
142: suffix: 1_ks_sinvert
143: args: -st_type sinvert -eps_target 22
144: test:
145: suffix: 1_ks_cayley
146: args: -st_type cayley -eps_target 22
147: test:
148: suffix: 1_lanczos
149: args: -eps_type lanczos -eps_lanczos_reorthog full
150: test:
151: suffix: 1_gd2
152: args: -eps_type gd -eps_gd_double_expansion
153: test:
154: suffix: 1_gd_borth
155: args: -eps_type gd -eps_gd_borth
156: test:
157: suffix: 1_jd_borth
158: args: -eps_type jd -eps_jd_borth
159: test:
160: suffix: 1_lobpcg
161: args: -eps_type lobpcg -st_shift 22 -eps_largest_real
162: test:
163: suffix: 1_hpddm
164: requires: hpddm
165: args: -eps_type lobpcg -st_shift 22 -eps_largest_real -st_pc_type lu -st_ksp_type hpddm
166: test:
167: suffix: 1_cholesky
168: args: -mat_type sbaij
169: test:
170: suffix: 1_scalapack
171: nsize: {{1 2 3}}
172: requires: scalapack
173: args: -eps_type scalapack
174: test:
175: suffix: 1_elpa
176: nsize: {{1 2 3}}
177: requires: elpa
178: args: -eps_type elpa
179: filter: grep -v "Buffering level"
180: test:
181: suffix: 1_elemental
182: nsize: {{1 2}}
183: requires: elemental
184: args: -eps_type elemental
186: testset:
187: args: -n 18 -eps_type ciss -rg_interval_endpoints 20.8,22
188: requires: !single
189: output_file: output/test1_1_ciss.out
190: test:
191: suffix: 1_ciss
192: args: -eps_ciss_extraction {{ritz hankel}}
193: test:
194: suffix: 1_ciss_ksps
195: args: -eps_ciss_usest 0 -eps_ciss_integration_points 12
196: test:
197: suffix: 1_ciss_gnhep
198: args: -eps_gen_non_hermitian -skiporth
199: test:
200: suffix: 1_ciss_trapezoidal
201: args: -eps_ciss_quadrule trapezoidal -eps_ciss_integration_points 24 -eps_ciss_extraction hankel -eps_ciss_delta 1e-10 -eps_tol 5e-11 -skiporth
202: test:
203: suffix: 1_ciss_cuda
204: args: -mat_type aijcusparse -st_pc_factor_mat_solver_type cusparse
205: requires: cuda
207: testset:
208: requires: !single
209: args: -eps_tol 1e-10 -st_type sinvert -st_ksp_type preonly -st_pc_type cholesky
210: test:
211: suffix: 2
212: args: -eps_interval .1,1.1
213: test:
214: suffix: 2_open
215: args: -eps_interval -inf,1.1
216: test:
217: suffix: 2_parallel
218: requires: mumps !complex
219: nsize: 3
220: args: -eps_interval .1,1.1 -eps_krylovschur_partitions 2 -st_pc_factor_mat_solver_type mumps -st_mat_mumps_icntl_13 1
221: output_file: output/test1_2.out
223: test:
224: suffix: 3
225: requires: !single
226: args: -n 18 -eps_type power -eps_conv_rel -eps_nev 3
228: test:
229: suffix: 4
230: requires: !single
231: 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}}
233: testset:
234: args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type icc
235: output_file: output/test1_5.out
236: test:
237: suffix: 5_rqcg
238: args: -eps_type rqcg
239: test:
240: suffix: 5_lobpcg
241: args: -eps_type lobpcg -eps_lobpcg_blocksize 3
242: test:
243: suffix: 5_hpddm
244: args: -eps_type lobpcg -eps_lobpcg_blocksize 3 -st_pc_type lu -st_ksp_type hpddm
245: requires: hpddm
246: test:
247: suffix: 5_blopex
248: args: -eps_type blopex -eps_conv_abs -st_shift 0.1
249: requires: blopex
251: testset:
252: args: -n 18 -eps_nev 12 -eps_mpd 8 -eps_max_it 3000
253: requires: !single
254: output_file: output/test1_6.out
255: test:
256: suffix: 6
257: args: -eps_type {{krylovschur arnoldi gd}}
258: test:
259: suffix: 6_lanczos
260: args: -eps_type lanczos -eps_lanczos_reorthog full
261: test:
262: suffix: 6_subspace
263: args: -eps_type subspace -eps_conv_rel
265: testset:
266: args: -n 18 -eps_nev 4 -eps_max_it 1500 -mat_type aijcusparse
267: requires: cuda !single
268: output_file: output/test1_1.out
269: test:
270: suffix: 7
271: args: -eps_type {{krylovschur arnoldi gd jd}}
272: test:
273: suffix: 7_subspace
274: args: -eps_type subspace -eps_conv_rel
275: test:
276: suffix: 7_ks_sinvert
277: args: -st_type sinvert -eps_target 22
278: test:
279: suffix: 7_lanczos
280: args: -eps_type lanczos -eps_lanczos_reorthog full
281: test:
282: suffix: 7_ciss
283: args: -eps_type ciss -rg_interval_endpoints 20.8,22 -st_pc_factor_mat_solver_type cusparse
284: output_file: output/test1_1_ciss.out
286: testset:
287: args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type sor -mat_type aijcusparse
288: requires: cuda
289: output_file: output/test1_5.out
290: test:
291: suffix: 8_rqcg
292: args: -eps_type rqcg
293: test:
294: suffix: 8_lobpcg
295: args: -eps_type lobpcg -eps_lobpcg_blocksize 3
297: testset:
298: nsize: 2
299: args: -n 18 -eps_nev 7 -eps_ncv 32 -ds_parallel synchronized
300: filter: grep -v "orthogonality"
301: output_file: output/test1_9.out
302: test:
303: suffix: 9_ks_ghep
304: args: -eps_gen_hermitian -st_pc_type redundant -st_type sinvert
305: test:
306: suffix: 9_ks_gnhep
307: args: -eps_gen_non_hermitian -st_pc_type redundant -st_type sinvert
308: test:
309: suffix: 9_ks_ghiep
310: args: -eps_gen_indefinite -st_pc_type redundant -st_type sinvert
311: requires: !single
312: test:
313: suffix: 9_lobpcg_ghep
314: args: -eps_gen_hermitian -eps_type lobpcg -eps_max_it 200 -eps_lobpcg_blocksize 6
315: requires: !single
316: timeoutfactor: 2
317: test:
318: suffix: 9_jd_gnhep
319: args: -eps_gen_non_hermitian -eps_type jd -eps_target 0 -eps_ncv 64
320: requires: !single
321: timeoutfactor: 2
323: test:
324: suffix: 10_feast
325: args: -n 25 -eps_type feast -eps_interval .95,1.1 -eps_conv_rel -eps_tol 1e-6
326: requires: feast
328: TEST*/