Actual source code: test7.c
slepc-3.17.2 2022-08-09
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 interface functions of spectrum-slicing STOAR.\n\n"
12: "This is based on ex38.c. The command line options are:\n"
13: " -n <n> ... dimension of the matrices.\n\n";
15: #include <slepcpep.h>
17: int main(int argc,char **argv)
18: {
19: Mat M,C,K,A[3]; /* problem matrices */
20: PEP pep; /* polynomial eigenproblem solver context */
21: ST st; /* spectral transformation context */
22: KSP ksp;
23: PC pc;
24: PetscBool showinertia=PETSC_TRUE,lock,detect,checket;
25: PetscInt n=100,Istart,Iend,i,*inertias,ns,nev,ncv,mpd;
26: PetscReal mu=1.0,tau=10.0,kappa=5.0,int0,int1,*shifts;
28: SlepcInitialize(&argc,&argv,(char*)0,help);
30: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
31: PetscOptionsGetBool(NULL,NULL,"-showinertia",&showinertia,NULL);
32: PetscPrintf(PETSC_COMM_WORLD,"\nSpectrum slicing on PEP, n=%" PetscInt_FMT "\n\n",n);
34: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
35: Compute the matrices that define the eigensystem, (k^2*M+k*C+K)x=0
36: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
38: /* K is a tridiagonal */
39: MatCreate(PETSC_COMM_WORLD,&K);
40: MatSetSizes(K,PETSC_DECIDE,PETSC_DECIDE,n,n);
41: MatSetFromOptions(K);
42: MatSetUp(K);
44: MatGetOwnershipRange(K,&Istart,&Iend);
45: for (i=Istart;i<Iend;i++) {
46: if (i>0) MatSetValue(K,i,i-1,-kappa,INSERT_VALUES);
47: MatSetValue(K,i,i,kappa*3.0,INSERT_VALUES);
48: if (i<n-1) MatSetValue(K,i,i+1,-kappa,INSERT_VALUES);
49: }
51: MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY);
52: MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY);
54: /* C is a tridiagonal */
55: MatCreate(PETSC_COMM_WORLD,&C);
56: MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,n,n);
57: MatSetFromOptions(C);
58: MatSetUp(C);
60: MatGetOwnershipRange(C,&Istart,&Iend);
61: for (i=Istart;i<Iend;i++) {
62: if (i>0) MatSetValue(C,i,i-1,-tau,INSERT_VALUES);
63: MatSetValue(C,i,i,tau*3.0,INSERT_VALUES);
64: if (i<n-1) MatSetValue(C,i,i+1,-tau,INSERT_VALUES);
65: }
67: MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
68: MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);
70: /* M is a diagonal matrix */
71: MatCreate(PETSC_COMM_WORLD,&M);
72: MatSetSizes(M,PETSC_DECIDE,PETSC_DECIDE,n,n);
73: MatSetFromOptions(M);
74: MatSetUp(M);
75: MatGetOwnershipRange(M,&Istart,&Iend);
76: for (i=Istart;i<Iend;i++) MatSetValue(M,i,i,mu,INSERT_VALUES);
77: MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);
78: MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);
80: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
81: Create the eigensolver and solve the problem
82: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
84: PEPCreate(PETSC_COMM_WORLD,&pep);
85: A[0] = K; A[1] = C; A[2] = M;
86: PEPSetOperators(pep,3,A);
87: PEPSetProblemType(pep,PEP_HYPERBOLIC);
88: PEPSetType(pep,PEPSTOAR);
90: /*
91: Set interval and other settings for spectrum slicing
92: */
93: int0 = -11.3;
94: int1 = -9.5;
95: PEPSetInterval(pep,int0,int1);
96: PEPSetWhichEigenpairs(pep,PEP_ALL);
97: PEPGetST(pep,&st);
98: STSetType(st,STSINVERT);
99: STGetKSP(st,&ksp);
100: KSPSetType(ksp,KSPPREONLY);
101: KSPGetPC(ksp,&pc);
102: PCSetType(pc,PCCHOLESKY);
104: /*
105: Test interface functions of STOAR solver
106: */
107: PEPSTOARGetDetectZeros(pep,&detect);
108: PetscPrintf(PETSC_COMM_WORLD," Detect zeros before changing = %d",(int)detect);
109: PEPSTOARSetDetectZeros(pep,PETSC_TRUE);
110: PEPSTOARGetDetectZeros(pep,&detect);
111: PetscPrintf(PETSC_COMM_WORLD," ... changed to %d\n",(int)detect);
113: PEPSTOARGetLocking(pep,&lock);
114: PetscPrintf(PETSC_COMM_WORLD," Locking flag before changing = %d",(int)lock);
115: PEPSTOARSetLocking(pep,PETSC_TRUE);
116: PEPSTOARGetLocking(pep,&lock);
117: PetscPrintf(PETSC_COMM_WORLD," ... changed to %d\n",(int)lock);
119: PEPSTOARGetCheckEigenvalueType(pep,&checket);
120: PetscPrintf(PETSC_COMM_WORLD," Check eigenvalue type flag before changing = %d",(int)checket);
121: PEPSTOARSetCheckEigenvalueType(pep,PETSC_FALSE);
122: PEPSTOARGetCheckEigenvalueType(pep,&checket);
123: PetscPrintf(PETSC_COMM_WORLD," ... changed to %d\n",(int)checket);
125: PEPSTOARGetDimensions(pep,&nev,&ncv,&mpd);
126: PetscPrintf(PETSC_COMM_WORLD," Sub-solve dimensions before changing = [%" PetscInt_FMT ",%" PetscInt_FMT ",%" PetscInt_FMT "]",nev,ncv,mpd);
127: PEPSTOARSetDimensions(pep,30,60,60);
128: PEPSTOARGetDimensions(pep,&nev,&ncv,&mpd);
129: PetscPrintf(PETSC_COMM_WORLD," ... changed to [%" PetscInt_FMT ",%" PetscInt_FMT ",%" PetscInt_FMT "]\n",nev,ncv,mpd);
131: PEPSetFromOptions(pep);
133: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
134: Compute all eigenvalues in interval and display info
135: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
137: PEPSetUp(pep);
138: PEPSTOARGetInertias(pep,&ns,&shifts,&inertias);
139: PetscPrintf(PETSC_COMM_WORLD," Inertias (after setup):\n");
140: for (i=0;i<ns;i++) PetscPrintf(PETSC_COMM_WORLD," .. %g (%" PetscInt_FMT ")\n",(double)shifts[i],inertias[i]);
141: PetscFree(shifts);
142: PetscFree(inertias);
144: PEPSolve(pep);
145: PEPGetDimensions(pep,&nev,NULL,NULL);
146: PEPGetInterval(pep,&int0,&int1);
147: PetscPrintf(PETSC_COMM_WORLD," Found %" PetscInt_FMT " eigenvalues in interval [%g,%g]\n",nev,(double)int0,(double)int1);
149: if (showinertia) {
150: PEPSTOARGetInertias(pep,&ns,&shifts,&inertias);
151: PetscPrintf(PETSC_COMM_WORLD," Used %" PetscInt_FMT " shifts (inertia):\n",ns);
152: for (i=0;i<ns;i++) PetscPrintf(PETSC_COMM_WORLD," .. %g (%" PetscInt_FMT ")\n",(double)shifts[i],inertias[i]);
153: PetscFree(shifts);
154: PetscFree(inertias);
155: }
157: PEPErrorView(pep,PEP_ERROR_BACKWARD,NULL);
159: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
160: Clean up
161: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
162: PEPDestroy(&pep);
163: MatDestroy(&M);
164: MatDestroy(&C);
165: MatDestroy(&K);
166: SlepcFinalize();
167: return 0;
168: }
170: /*TEST
172: test:
173: requires: !single
174: args: -showinertia 0
176: TEST*/