Actual source code: test1.c
slepc-3.11.2 2019-07-30
1: /*
2: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3: SLEPc - Scalable Library for Eigenvalue Problem Computations
4: Copyright (c) 2002-2019, 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,tol=1000*PETSC_MACHINE_EPSILON;
22: PetscInt N,n=45,m,Istart,Iend,II,i,j,nconv;
23: PetscBool flag;
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);
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++) {
103: EPSGetEigenvector(eps,i,X[i],NULL);
104: }
105: VecCheckOrthogonality(X,nconv,NULL,nconv,B,NULL,&lev);
106: if (lev<10*tol) {
107: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality below the tolerance\n");
108: } else {
109: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)lev);
110: }
111: VecDestroyVecs(nconv,&X);
112: }
114: EPSDestroy(&eps);
115: MatDestroy(&A);
116: MatDestroy(&B);
117: VecDestroy(&v);
118: SlepcFinalize();
119: return ierr;
120: }
122: /*TEST
124: testset:
125: args: -n 18 -eps_nev 4 -eps_max_it 1500
126: requires: !single
127: output_file: output/test1_1.out
128: test:
129: suffix: 1
130: args: -eps_type {{krylovschur subspace arnoldi gd jd lapack}}
131: test:
132: suffix: 1_ks_nopurify
133: args: -eps_purify 0
134: test:
135: suffix: 1_ks_trueres
136: args: -eps_true_residual
137: test:
138: suffix: 1_ks_sinvert
139: args: -st_type sinvert -eps_target 22
140: test:
141: suffix: 1_ks_cayley
142: args: -st_type cayley -eps_target 22
143: test:
144: suffix: 1_lanczos
145: args: -eps_type lanczos -eps_lanczos_reorthog full
146: test:
147: suffix: 1_gd2
148: args: -eps_type gd -eps_gd_double_expansion
149: test:
150: suffix: 1_ciss
151: args: -eps_type ciss -rg_interval_endpoints 20.8,22 -eps_largest_real
152: test:
153: suffix: 1_lobpcg
154: args: -eps_type lobpcg -st_shift 22 -eps_largest_real
156: test:
157: suffix: 2
158: requires: !single !complex
159: args: -eps_interval .1,1.1 -eps_tol 1e-10 -st_type sinvert -st_ksp_type preonly -st_pc_type cholesky
161: test:
162: suffix: 3
163: requires: !single
164: args: -n 18 -eps_type power -eps_nev 3
166: test:
167: suffix: 4
168: requires: !single
169: args: -n 18 -eps_type power -eps_nev 3 -st_type sinvert -eps_target 1.149 -eps_power_shift_type {{constant rayleigh wilkinson}}
171: testset:
172: args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type icc
173: output_file: output/test1_5.out
174: test:
175: suffix: 5_rqcg
176: args: -eps_type rqcg
177: test:
178: suffix: 5_lobpcg
179: args: -eps_type lobpcg -eps_lobpcg_blocksize 3
180: requires: !single
182: testset:
183: args: -n 18 -eps_nev 12 -eps_mpd 8 -eps_max_it 3000
184: requires: !single
185: output_file: output/test1_6.out
186: test:
187: suffix: 6
188: args: -eps_type {{krylovschur subspace arnoldi gd}}
189: test:
190: suffix: 6_lanczos
191: args: -eps_type lanczos -eps_lanczos_reorthog full
193: testset:
194: args: -n 18 -eps_nev 4 -eps_max_it 1500 -mat_type aijcusparse
195: requires: cuda
196: output_file: output/test1_1.out
197: test:
198: suffix: 7
199: args: -eps_type {{krylovschur subspace arnoldi gd jd}}
200: test:
201: suffix: 7_ks_sinvert
202: args: -st_type sinvert -eps_target 22
203: test:
204: suffix: 7_lanczos
205: args: -eps_type lanczos -eps_lanczos_reorthog full
206: test:
207: suffix: 7_ciss
208: args: -eps_type ciss -rg_interval_endpoints 20.8,22 -eps_largest_real
210: testset:
211: args: -n 18 -eps_nev 3 -eps_smallest_real -eps_max_it 500 -st_pc_type sor -mat_type aijcusparse
212: requires: cuda
213: output_file: output/test1_5.out
214: test:
215: suffix: 8_rqcg
216: args: -eps_type rqcg
217: test:
218: suffix: 8_lobpcg
219: args: -eps_type lobpcg -eps_lobpcg_blocksize 3
221: testset:
222: nsize: 2
223: args: -n 18 -eps_nev 7 -eps_ncv 32 -ds_parallel synchronized
224: requires: cuda
225: filter: grep -v "orthogonality"
226: output_file: output/test1_9.out
227: test:
228: suffix: 9_ks_ghep
229: args: -eps_gen_hermitian -st_pc_type redundant -st_type sinvert
230: test:
231: suffix: 9_ks_gnhep
232: args: -eps_gen_non_hermitian -st_pc_type redundant -st_type sinvert
233: test:
234: suffix: 9_ks_ghiep
235: args: -eps_gen_indefinite -st_pc_type redundant -st_type sinvert
236: test:
237: suffix: 9_lobpcg_ghep
238: args: -eps_gen_hermitian -eps_type lobpcg -eps_max_it 200 -eps_lobpcg_blocksize 6
239: test:
240: suffix: 9_jd_gnhep
241: args: -eps_gen_non_hermitian -eps_type jd -eps_target 0
242: requires: !complex
244: TEST*/