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1 | /* | ||
2 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
3 | SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
4 | Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
5 | |||
6 | This file is part of SLEPc. | ||
7 | SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
8 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
9 | */ | ||
10 | |||
11 | static char help[] = "Test DSGHEP.\n\n"; | ||
12 | |||
13 | #include <slepcds.h> | ||
14 | |||
15 | /* | ||
16 | Compute the norm of the j-th column of matrix mat in ds | ||
17 | */ | ||
18 | 10 | PetscErrorCode ComputeNorm(DS ds,DSMatType mat,PetscInt j,PetscReal *onrm) | |
19 | { | ||
20 | 10 | PetscScalar *X; | |
21 | 10 | PetscReal aux,nrm=0.0; | |
22 | 10 | PetscInt i,n,ld; | |
23 | |||
24 |
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10 | PetscFunctionBeginUser; |
25 |
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10 | PetscCall(DSGetLeadingDimension(ds,&ld)); |
26 |
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10 | PetscCall(DSGetDimensions(ds,&n,NULL,NULL,NULL)); |
27 |
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10 | PetscCall(DSGetArray(ds,mat,&X)); |
28 |
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110 | for (i=0;i<n;i++) { |
29 | 100 | aux = PetscAbsScalar(X[i+j*ld]); | |
30 | 100 | nrm += aux*aux; | |
31 | } | ||
32 |
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10 | PetscCall(DSRestoreArray(ds,mat,&X)); |
33 | 10 | *onrm = PetscSqrtReal(nrm); | |
34 |
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10 | PetscFunctionReturn(PETSC_SUCCESS); |
35 | } | ||
36 | |||
37 | 10 | int main(int argc,char **argv) | |
38 | { | ||
39 | 10 | DS ds; | |
40 | 10 | SlepcSC sc; | |
41 | 10 | PetscReal re; | |
42 | 10 | PetscScalar *A,*B,*eig; | |
43 | 10 | PetscReal nrm; | |
44 | 10 | PetscInt i,j,n=10,ld; | |
45 | 10 | PetscViewer viewer; | |
46 | 10 | PetscBool verbose; | |
47 | |||
48 |
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10 | PetscFunctionBeginUser; |
49 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
50 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
51 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a System of type GHEP - dimension %" PetscInt_FMT ".\n",n)); |
52 |
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10 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
53 | |||
54 | /* Create DS object */ | ||
55 |
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10 | PetscCall(DSCreate(PETSC_COMM_WORLD,&ds)); |
56 |
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10 | PetscCall(DSSetType(ds,DSGHEP)); |
57 |
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10 | PetscCall(DSSetFromOptions(ds)); |
58 | 10 | ld = n+2; /* test leading dimension larger than n */ | |
59 |
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10 | PetscCall(DSAllocate(ds,ld)); |
60 |
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10 | PetscCall(DSSetDimensions(ds,n,0,0)); |
61 | |||
62 | /* Set up viewer */ | ||
63 |
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10 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
64 |
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10 | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL)); |
65 |
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10 | PetscCall(DSView(ds,viewer)); |
66 |
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10 | PetscCall(PetscViewerPopFormat(viewer)); |
67 |
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10 | if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB)); |
68 | |||
69 | /* Fill with a symmetric Toeplitz matrix */ | ||
70 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_A,&A)); |
71 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_B,&B)); |
72 |
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110 | for (i=0;i<n;i++) A[i+i*ld]=2.0; |
73 |
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30 | for (j=1;j<3;j++) { |
74 |
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190 | for (i=0;i<n-j;i++) { A[i+(i+j)*ld]=1.0; A[(i+j)+i*ld]=1.0; } |
75 | } | ||
76 |
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30 | for (j=1;j<3;j++) { A[0+j*ld]=-1.0*(j+2); A[j+0*ld]=-1.0*(j+2); } |
77 | /* Diagonal matrix */ | ||
78 |
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110 | for (i=0;i<n;i++) B[i+i*ld]=0.1*(i+1); |
79 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_A,&A)); |
80 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_B,&B)); |
81 |
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10 | PetscCall(DSSetState(ds,DS_STATE_RAW)); |
82 |
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10 | if (verbose) { |
83 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n")); | |
84 | ✗ | PetscCall(DSView(ds,viewer)); | |
85 | } | ||
86 | |||
87 | /* Solve */ | ||
88 |
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10 | PetscCall(PetscMalloc1(n,&eig)); |
89 |
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10 | PetscCall(PetscNew(&sc)); |
90 | 10 | sc->comparison = SlepcCompareLargestMagnitude; | |
91 | 10 | sc->comparisonctx = NULL; | |
92 | 10 | sc->map = NULL; | |
93 | 10 | sc->mapobj = NULL; | |
94 |
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10 | PetscCall(DSSetSlepcSC(ds,sc)); |
95 |
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10 | PetscCall(DSSolve(ds,eig,NULL)); |
96 |
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10 | PetscCall(DSSort(ds,eig,NULL,NULL,NULL,NULL)); |
97 |
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10 | if (verbose) { |
98 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n")); | |
99 | ✗ | PetscCall(DSView(ds,viewer)); | |
100 | } | ||
101 | |||
102 | /* Print eigenvalues */ | ||
103 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n")); |
104 |
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110 | for (i=0;i<n;i++) { |
105 | 100 | re = PetscRealPart(eig[i]); | |
106 |
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100 | PetscCall(PetscViewerASCIIPrintf(viewer," %.5f\n",(double)re)); |
107 | } | ||
108 | |||
109 | /* Eigenvectors */ | ||
110 | 10 | j = 0; | |
111 |
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10 | PetscCall(DSVectors(ds,DS_MAT_X,&j,NULL)); /* all eigenvectors */ |
112 |
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10 | PetscCall(ComputeNorm(ds,DS_MAT_X,0,&nrm)); |
113 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st vector = %.3f\n",(double)nrm)); |
114 |
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10 | PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL)); /* all eigenvectors */ |
115 |
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10 | if (verbose) { |
116 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After vectors - - - - - - - - -\n")); | |
117 | ✗ | PetscCall(DSView(ds,viewer)); | |
118 | } | ||
119 | |||
120 |
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10 | PetscCall(PetscFree(eig)); |
121 |
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10 | PetscCall(PetscFree(sc)); |
122 |
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10 | PetscCall(DSDestroy(&ds)); |
123 |
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10 | PetscCall(SlepcFinalize()); |
124 | return 0; | ||
125 | } | ||
126 | |||
127 | /*TEST | ||
128 | |||
129 | test: | ||
130 | suffix: 1 | ||
131 | requires: !single | ||
132 | |||
133 | TEST*/ | ||
134 |