Actual source code: test2.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: */
10: /*
11: Example based on spring problem in NLEVP collection [1]. See the parameters
12: meaning at Example 2 in [2].
14: [1] T. Betcke, N. J. Higham, V. Mehrmann, C. Schroder, and F. Tisseur,
15: NLEVP: A Collection of Nonlinear Eigenvalue Problems, MIMS EPrint
16: 2010.98, November 2010.
17: [2] F. Tisseur, Backward error and condition of polynomial eigenvalue
18: problems, Linear Algebra and its Applications, 309 (2000), pp. 339--361,
19: April 2000.
20: */
22: static char help[] = "Test the solution of a PEP from a finite element model of "
23: "damped mass-spring system (problem from NLEVP collection).\n\n"
24: "The command line options are:\n"
25: " -n <n> ... number of grid subdivisions.\n"
26: " -mu <value> ... mass (default 1).\n"
27: " -tau <value> ... damping constant of the dampers (default 10).\n"
28: " -kappa <value> ... damping constant of the springs (default 5).\n"
29: " -initv ... set an initial vector.\n\n";
31: #include <slepcpep.h>
33: int main(int argc,char **argv)
34: {
35: Mat M,C,K,A[3]; /* problem matrices */
36: PEP pep; /* polynomial eigenproblem solver context */
38: PetscInt n=30,Istart,Iend,i,nev;
39: PetscScalar mu=1.0,tau=10.0,kappa=5.0;
40: PetscBool initv=PETSC_FALSE;
41: Vec v0;
43: SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
45: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
46: PetscOptionsGetScalar(NULL,NULL,"-mu",&mu,NULL);
47: PetscOptionsGetScalar(NULL,NULL,"-tau",&tau,NULL);
48: PetscOptionsGetScalar(NULL,NULL,"-kappa",&kappa,NULL);
49: PetscOptionsGetBool(NULL,NULL,"-initv",&initv,NULL);
51: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
52: Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0
53: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
55: /* K is a tridiagonal */
56: MatCreate(PETSC_COMM_WORLD,&K);
57: MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,n,n);
58: MatSetFromOptions(K);
59: MatSetUp(K);
61: MatGetOwnershipRange(K,&Istart,&Iend);
62: for (i=Istart;i<Iend;i++) {
63: if (i>0) {
64: MatSetValue(K,i,i-1,-kappa,INSERT_VALUES);
65: }
66: MatSetValue(K,i,i,kappa*3.0,INSERT_VALUES);
67: if (i<n-1) {
68: MatSetValue(K,i,i+1,-kappa,INSERT_VALUES);
69: }
70: }
72: MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY);
73: MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY);
75: /* C is a tridiagonal */
76: MatCreate(PETSC_COMM_WORLD,&C);
77: MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,n,n);
78: MatSetFromOptions(C);
79: MatSetUp(C);
81: MatGetOwnershipRange(C,&Istart,&Iend);
82: for (i=Istart;i<Iend;i++) {
83: if (i>0) {
84: MatSetValue(C,i,i-1,-tau,INSERT_VALUES);
85: }
86: MatSetValue(C,i,i,tau*3.0,INSERT_VALUES);
87: if (i<n-1) {
88: MatSetValue(C,i,i+1,-tau,INSERT_VALUES);
89: }
90: }
92: MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
93: MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);
95: /* M is a diagonal matrix */
96: MatCreate(PETSC_COMM_WORLD,&M);
97: MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,n,n);
98: MatSetFromOptions(M);
99: MatSetUp(M);
100: MatGetOwnershipRange(M,&Istart,&Iend);
101: for (i=Istart;i<Iend;i++) {
102: MatSetValue(M,i,i,mu,INSERT_VALUES);
103: }
104: MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);
105: MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);
107: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
108: Create the eigensolver and set various options
109: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
111: PEPCreate(PETSC_COMM_WORLD,&pep);
112: A[0] = K; A[1] = C; A[2] = M;
113: PEPSetOperators(pep,3,A);
114: PEPSetProblemType(pep,PEP_GENERAL);
115: PEPSetTolerances(pep,PETSC_SMALL,PETSC_DEFAULT);
116: if (initv) { /* initial vector */
117: MatCreateVecs(K,&v0,NULL);
118: VecSetValue(v0,0,-1.0,INSERT_VALUES);
119: VecSetValue(v0,1,0.5,INSERT_VALUES);
120: VecAssemblyBegin(v0);
121: VecAssemblyEnd(v0);
122: PEPSetInitialSpace(pep,1,&v0);
123: VecDestroy(&v0);
124: }
125: PEPSetFromOptions(pep);
127: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
128: Solve the eigensystem
129: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
131: PEPSolve(pep);
132: PEPGetDimensions(pep,&nev,NULL,NULL);
133: PetscPrintf(PETSC_COMM_WORLD," Number of requested eigenvalues: %D\n",nev);
135: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
136: Display solution and clean up
137: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
139: PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL);
140: PEPDestroy(&pep);
141: MatDestroy(&M);
142: MatDestroy(&C);
143: MatDestroy(&K);
144: SlepcFinalize();
145: return ierr;
146: }
148: /*TEST
150: testset:
151: args: -pep_nev 4 -initv
152: requires: !single
153: output_file: output/test2_1.out
154: test:
155: suffix: 1
156: args: -pep_type {{toar linear}}
157: test:
158: suffix: 1_qarnoldi
159: args: -pep_type qarnoldi -bv_orthog_refine never
160: test:
161: suffix: 1_linear_gd
162: args: -pep_type linear -pep_linear_eps_type gd -pep_linear_explicitmatrix
164: testset:
165: args: -pep_target -0.43 -pep_nev 4 -pep_ncv 20 -st_type sinvert
166: output_file: output/test2_2.out
167: test:
168: suffix: 2
169: args: -pep_type {{toar linear}}
170: test:
171: suffix: 2_toar_scaleboth
172: args: -pep_type toar -pep_scale both
173: test:
174: suffix: 2_toar_transform
175: args: -pep_type toar -st_transform
176: test:
177: suffix: 2_qarnoldi
178: args: -pep_type qarnoldi -bv_orthog_refine always
179: test:
180: suffix: 2_linear_explicit
181: args: -pep_type linear -pep_linear_explicitmatrix -pep_linear_linearization 0,1
182: test:
183: suffix: 2_linear_explicit_her
184: args: -pep_type linear -pep_linear_explicitmatrix -pep_hermitian -pep_linear_linearization 0,1
185: test:
186: suffix: 2_stoar
187: args: -pep_type stoar -pep_hermitian
188: requires: !single
189: test:
190: suffix: 2_jd
191: args: -pep_type jd -st_type precond -pep_max_it 200
192: requires: complex
194: test:
195: suffix: 3
196: args: -pep_nev 12 -pep_extract {{none norm residual structured}} -pep_monitor_cancel
197: requires: !single
199: testset:
200: args: -st_type sinvert -pep_target -0.43 -pep_nev 4
201: output_file: output/test2_2.out
202: test:
203: suffix: 4_schur
204: args: -pep_refine simple -pep_refine_scheme schur
205: test:
206: suffix: 4_mbe
207: args: -pep_refine simple -pep_refine_scheme mbe -pep_refine_ksp_type preonly -pep_refine_pc_type lu
208: test:
209: suffix: 4_explicit
210: args: -pep_refine simple -pep_refine_scheme explicit
211: test:
212: suffix: 4_multiple_schur
213: args: -pep_refine multiple -pep_refine_scheme schur
214: test:
215: suffix: 4_multiple_mbe
216: args: -pep_refine multiple -pep_refine_scheme mbe -pep_refine_ksp_type preonly -pep_refine_pc_type lu -pep_refine_pc_factor_shift_type nonzero
217: test:
218: suffix: 4_multiple_explicit
219: args: -pep_refine multiple -pep_refine_scheme explicit
221: test:
222: suffix: 5
223: nsize: 2
224: args: -pep_type linear -pep_linear_explicitmatrix -pep_general -pep_target -0.43 -pep_nev 4 -pep_ncv 20 -st_type sinvert -pep_linear_st_ksp_type bcgs -pep_linear_st_pc_type bjacobi
225: output_file: output/test2_2.out
227: test:
228: suffix: 6
229: args: -pep_type linear -pep_nev 12 -pep_extract {{none norm residual}}
230: requires: !single
231: output_file: output/test2_3.out
233: test:
234: suffix: 7
235: args: -pep_nev 12 -pep_extract {{none norm residual structured}} -pep_refine multiple
236: requires: !single
237: output_file: output/test2_3.out
239: testset:
240: args: -st_type sinvert -pep_target -0.43 -pep_nev 4 -st_transform
241: output_file: output/test2_2.out
242: test:
243: suffix: 8_schur
244: args: -pep_refine simple -pep_refine_scheme schur
245: test:
246: suffix: 8_mbe
247: args: -pep_refine simple -pep_refine_scheme mbe -pep_refine_ksp_type preonly -pep_refine_pc_type lu
248: test:
249: suffix: 8_explicit
250: args: -pep_refine simple -pep_refine_scheme explicit
251: test:
252: suffix: 8_multiple_schur
253: args: -pep_refine multiple -pep_refine_scheme schur
254: test:
255: suffix: 8_multiple_mbe
256: args: -pep_refine multiple -pep_refine_scheme mbe -pep_refine_ksp_type preonly -pep_refine_pc_type lu
257: test:
258: suffix: 8_multiple_explicit
259: args: -pep_refine multiple -pep_refine_scheme explicit
261: testset:
262: nsize: 2
263: args: -st_type sinvert -pep_target -0.49 -pep_nev 4 -pep_refine_partitions 2 -st_ksp_type bcgs -st_pc_type bjacobi -pep_scale diagonal -pep_scale_its 4
264: output_file: output/test2_2.out
265: requires: !single
266: test:
267: suffix: 9_mbe
268: args: -pep_refine simple -pep_refine_scheme mbe -pep_refine_ksp_type preonly -pep_refine_pc_type lu
269: test:
270: suffix: 9_explicit
271: args: -pep_refine simple -pep_refine_scheme explicit
272: test:
273: suffix: 9_multiple_mbe
274: args: -pep_refine multiple -pep_refine_scheme mbe -pep_refine_ksp_type preonly -pep_refine_pc_type lu
275: test:
276: suffix: 9_multiple_explicit
277: args: -pep_refine multiple -pep_refine_scheme explicit
279: test:
280: suffix: 10
281: nsize: 4
282: args: -st_type sinvert -pep_target -0.43 -pep_nev 4 -pep_refine simple -pep_refine_scheme explicit -pep_refine_partitions 2 -st_ksp_type bcgs -st_pc_type bjacobi -pep_scale diagonal -pep_scale_its 4
283: requires: double
284: output_file: output/test2_2.out
286: testset:
287: args: -pep_nev 4 -initv -mat_type aijcusparse
288: output_file: output/test2_1.out
289: requires: cuda
290: test:
291: suffix: 11_cuda
292: args: -pep_type {{toar linear}}
293: test:
294: suffix: 11_cuda_qarnoldi
295: args: -pep_type qarnoldi -bv_orthog_refine never
296: test:
297: suffix: 11_cuda_linear_gd
298: args: -pep_type linear -pep_linear_eps_type gd -pep_linear_explicitmatrix
300: test:
301: suffix: 12
302: nsize: 2
303: args: -pep_type jd -ds_parallel synchronized -pep_target -0.43 -pep_nev 4 -pep_ncv 20
304: requires: !single
306: TEST*/