Actual source code: test38.c
slepc-3.17.1 2022-04-11
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[] = "Test EPSLYAPII interface functions.\n\n"
12: "Based on ex2.\n"
13: "The command line options are:\n"
14: " -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
15: " -m <m>, where <m> = number of grid subdivisions in y dimension.\n"
16: " -shift <sigma>, where <sigma> = shift of origin.\n\n";
18: #include <slepceps.h>
20: int main(int argc,char **argv)
21: {
22: Mat A;
23: EPS eps;
24: PetscInt N,n=10,m,Istart,Iend,II,i,j,rkl,rkc;
25: PetscBool flag,terse;
26: PetscReal sigma=8.0;
28: SlepcInitialize(&argc,&argv,(char*)0,help);
29: PetscOptionsGetReal(NULL,NULL,"-shift",&sigma,NULL);
30: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
31: PetscOptionsGetInt(NULL,NULL,"-m",&m,&flag);
32: if (!flag) m=n;
33: N = n*m;
34: PetscPrintf(PETSC_COMM_WORLD,"\nShifted 2-D Laplacian Eigenproblem, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid) sigma=%.1f\n\n",N,n,m,(double)sigma);
36: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
37: Create the 2-D Laplacian
38: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
40: MatCreate(PETSC_COMM_WORLD,&A);
41: MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);
42: MatSetFromOptions(A);
43: MatSetUp(A);
44: MatGetOwnershipRange(A,&Istart,&Iend);
45: for (II=Istart;II<Iend;II++) {
46: i = II/n; j = II-i*n;
47: if (i>0) MatSetValue(A,II,II-n,-1.0,INSERT_VALUES);
48: if (i<m-1) MatSetValue(A,II,II+n,-1.0,INSERT_VALUES);
49: if (j>0) MatSetValue(A,II,II-1,-1.0,INSERT_VALUES);
50: if (j<n-1) MatSetValue(A,II,II+1,-1.0,INSERT_VALUES);
51: MatSetValue(A,II,II,4.0-sigma,INSERT_VALUES);
52: }
53: MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
54: MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
56: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
57: Create the eigensolver and set various options
58: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
60: EPSCreate(PETSC_COMM_WORLD,&eps);
61: EPSSetOperators(eps,A,NULL);
62: EPSSetProblemType(eps,EPS_HEP);
63: EPSSetWhichEigenpairs(eps,EPS_LARGEST_REAL);
64: EPSSetType(eps,EPSLYAPII);
65: EPSSetFromOptions(eps);
67: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
68: Solve the problem and display the solution
69: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
71: EPSSolve(eps);
73: /* print solver information */
74: PetscObjectTypeCompare((PetscObject)eps,EPSLYAPII,&flag);
75: if (flag) {
76: EPSLyapIIGetRanks(eps,&rkc,&rkl);
77: PetscPrintf(PETSC_COMM_WORLD," EPSLYAPII ranks: for Lyapunov solver=%" PetscInt_FMT ", after compression=%" PetscInt_FMT "\n\n",rkl,rkc);
78: }
80: PetscOptionsHasName(NULL,NULL,"-terse",&terse);
81: if (terse) EPSErrorView(eps,EPS_ERROR_RELATIVE,NULL);
82: else {
83: PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL);
84: EPSConvergedReasonView(eps,PETSC_VIEWER_STDOUT_WORLD);
85: EPSErrorView(eps,EPS_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD);
86: PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD);
87: }
89: EPSDestroy(&eps);
90: MatDestroy(&A);
91: SlepcFinalize();
92: return 0;
93: }
95: /*TEST
97: test:
98: args: -eps_view -terse
99: filter: grep -v tolerance | sed -e "s/symmetric/hermitian/"
101: TEST*/