Actual source code: test5.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 DSGHIEP.\n\n";
13: #include <slepcds.h>
15: int main(int argc,char **argv)
16: {
17: DS ds;
18: SlepcSC sc;
19: PetscReal re,im;
20: PetscScalar *A,*B,*Q,*eigr,*eigi,d;
21: PetscInt i,j,n=10,ld;
22: PetscViewer viewer;
23: PetscBool verbose,extrarow;
25: SlepcInitialize(&argc,&argv,(char*)0,help);
26: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
27: PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type GHIEP - dimension %" PetscInt_FMT ".\n",n);
28: PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
29: PetscOptionsHasName(NULL,NULL,"-extrarow",&extrarow);
31: /* Create DS object */
32: DSCreate(PETSC_COMM_WORLD,&ds);
33: DSSetType(ds,DSGHIEP);
34: DSSetFromOptions(ds);
35: ld = n+2; /* test leading dimension larger than n */
36: DSAllocate(ds,ld);
37: DSSetDimensions(ds,n,0,0);
38: DSSetExtraRow(ds,extrarow);
40: /* Set up viewer */
41: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer);
42: PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL);
43: DSView(ds,viewer);
44: PetscViewerPopFormat(viewer);
45: if (verbose) PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);
47: /* Fill with a symmetric Toeplitz matrix */
48: DSGetArray(ds,DS_MAT_A,&A);
49: DSGetArray(ds,DS_MAT_B,&B);
50: for (i=0;i<n;i++) A[i+i*ld]=2.0;
51: for (j=1;j<3;j++) {
52: for (i=0;i<n-j;i++) { A[i+(i+j)*ld]=1.0; A[(i+j)+i*ld]=1.0; }
53: }
54: for (j=1;j<3;j++) { A[0+j*ld]=-1.0*(j+2); A[j+0*ld]=-1.0*(j+2); }
55: if (extrarow) A[n+(n-1)*ld]=-1.0;
56: /* Signature matrix */
57: for (i=0;i<n;i++) B[i+i*ld]=1.0;
58: B[0] = -1.0;
59: B[n-1+(n-1)*ld] = -1.0;
60: DSRestoreArray(ds,DS_MAT_A,&A);
61: DSRestoreArray(ds,DS_MAT_B,&B);
62: DSSetState(ds,DS_STATE_RAW);
63: if (verbose) {
64: PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n");
65: DSView(ds,viewer);
66: }
68: /* Solve */
69: PetscCalloc2(n,&eigr,n,&eigi);
70: DSGetSlepcSC(ds,&sc);
71: sc->comparison = SlepcCompareLargestMagnitude;
72: sc->comparisonctx = NULL;
73: sc->map = NULL;
74: sc->mapobj = NULL;
75: DSSolve(ds,eigr,eigi);
76: DSSort(ds,eigr,eigi,NULL,NULL,NULL);
77: if (extrarow) DSUpdateExtraRow(ds);
79: if (verbose) {
80: PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n");
81: DSView(ds,viewer);
82: }
84: /* Print eigenvalues */
85: PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n");
86: for (i=0;i<n;i++) {
87: #if defined(PETSC_USE_COMPLEX)
88: re = PetscRealPart(eigr[i]);
89: im = PetscImaginaryPart(eigr[i]);
90: #else
91: re = eigr[i];
92: im = eigi[i];
93: #endif
94: if (PetscAbs(im)<1e-10) PetscViewerASCIIPrintf(viewer," %.5f\n",(double)re);
95: else PetscViewerASCIIPrintf(viewer," %.5f%+.5fi\n",(double)re,(double)im);
96: }
98: if (extrarow) {
99: /* Check that extra row is correct */
100: DSGetArray(ds,DS_MAT_A,&A);
101: DSGetArray(ds,DS_MAT_Q,&Q);
102: d = 0.0;
103: for (i=0;i<n;i++) d += A[n+i*ld]+Q[n-1+i*ld];
104: if (PetscAbsScalar(d)>10*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Warning: there is a mismatch in the extra row of %g\n",(double)PetscAbsScalar(d));
105: DSRestoreArray(ds,DS_MAT_A,&A);
106: DSRestoreArray(ds,DS_MAT_Q,&Q);
107: }
108: PetscFree2(eigr,eigi);
109: DSDestroy(&ds);
110: SlepcFinalize();
111: return 0;
112: }
114: /*TEST
116: testset:
117: args: -ds_method {{0 1 2}}
118: filter: grep -v "solving the problem" | sed -e "s/extrarow//"
119: output_file: output/test5_1.out
120: requires: !single
121: test:
122: suffix: 1
123: test:
124: suffix: 2
125: args: -extrarow
127: TEST*/