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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 DSHEP.\n\n"; | ||
12 | |||
13 | #include <slepcds.h> | ||
14 | |||
15 | 60 | int main(int argc,char **argv) | |
16 | { | ||
17 | 60 | DS ds; | |
18 | 60 | SlepcSC sc; | |
19 | 60 | PetscScalar *A,*X,*Q,*eig,d; | |
20 | 60 | PetscReal rnorm,aux; | |
21 | 60 | PetscInt i,j,n=10,ld; | |
22 | 60 | PetscViewer viewer; | |
23 | 60 | PetscBool verbose,extrarow; | |
24 | |||
25 |
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60 | PetscFunctionBeginUser; |
26 |
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60 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
27 |
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60 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
28 |
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60 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type HEP - dimension %" PetscInt_FMT ".\n",n)); |
29 |
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60 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
30 |
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60 | PetscCall(PetscOptionsHasName(NULL,NULL,"-extrarow",&extrarow)); |
31 | |||
32 | /* Create DS object */ | ||
33 |
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60 | PetscCall(DSCreate(PETSC_COMM_WORLD,&ds)); |
34 |
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60 | PetscCall(DSSetType(ds,DSHEP)); |
35 |
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60 | PetscCall(DSSetFromOptions(ds)); |
36 | 60 | ld = n+2; /* test leading dimension larger than n */ | |
37 |
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60 | PetscCall(DSAllocate(ds,ld)); |
38 |
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60 | PetscCall(DSSetDimensions(ds,n,0,0)); |
39 |
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60 | PetscCall(DSSetExtraRow(ds,extrarow)); |
40 | |||
41 | /* Set up viewer */ | ||
42 |
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60 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
43 |
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60 | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL)); |
44 |
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60 | PetscCall(DSView(ds,viewer)); |
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60 | PetscCall(PetscViewerPopFormat(viewer)); |
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60 | if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB)); |
47 | |||
48 | /* Fill with a symmetric Toeplitz matrix */ | ||
49 |
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60 | PetscCall(DSGetArray(ds,DS_MAT_A,&A)); |
50 |
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780 | for (i=0;i<n;i++) A[i+i*ld]=2.0; |
51 |
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180 | for (j=1;j<3;j++) { |
52 |
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1380 | for (i=0;i<n-j;i++) { A[i+(i+j)*ld]=1.0; A[(i+j)+i*ld]=1.0; } |
53 | } | ||
54 |
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60 | if (extrarow) { A[n+(n-2)*ld]=1.0; A[n+(n-1)*ld]=1.0; } |
55 |
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60 | PetscCall(DSRestoreArray(ds,DS_MAT_A,&A)); |
56 |
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60 | PetscCall(DSSetState(ds,DS_STATE_RAW)); |
57 |
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60 | if (verbose) { |
58 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n")); | |
59 | ✗ | PetscCall(DSView(ds,viewer)); | |
60 | } | ||
61 | |||
62 | /* Solve */ | ||
63 |
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60 | PetscCall(PetscMalloc1(n,&eig)); |
64 |
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60 | PetscCall(DSGetSlepcSC(ds,&sc)); |
65 | 60 | sc->comparison = SlepcCompareLargestMagnitude; | |
66 | 60 | sc->comparisonctx = NULL; | |
67 | 60 | sc->map = NULL; | |
68 | 60 | sc->mapobj = NULL; | |
69 |
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60 | PetscCall(DSSolve(ds,eig,NULL)); |
70 |
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60 | PetscCall(DSSort(ds,eig,NULL,NULL,NULL,NULL)); |
71 |
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60 | if (extrarow) PetscCall(DSUpdateExtraRow(ds)); |
72 |
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60 | if (verbose) { |
73 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n")); | |
74 | ✗ | PetscCall(DSView(ds,viewer)); | |
75 | } | ||
76 | |||
77 | /* Print eigenvalues */ | ||
78 |
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60 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n")); |
79 |
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780 | for (i=0;i<n;i++) PetscCall(PetscViewerASCIIPrintf(viewer," %.5f\n",(double)PetscRealPart(eig[i]))); |
80 | |||
81 |
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60 | if (extrarow) { |
82 | /* Check that extra row is correct */ | ||
83 |
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30 | PetscCall(DSGetArray(ds,DS_MAT_A,&A)); |
84 |
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30 | PetscCall(DSGetArray(ds,DS_MAT_Q,&Q)); |
85 | d = 0.0; | ||
86 |
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390 | for (i=0;i<n;i++) d += A[n+i*ld]-Q[n-2+i*ld]-Q[n-1+i*ld]; |
87 |
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30 | if (PetscAbsScalar(d)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: there is a mismatch in the extra row of %g\n",(double)PetscAbsScalar(d))); |
88 |
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30 | PetscCall(DSRestoreArray(ds,DS_MAT_A,&A)); |
89 |
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30 | PetscCall(DSRestoreArray(ds,DS_MAT_Q,&Q)); |
90 | } | ||
91 | |||
92 | /* Eigenvectors */ | ||
93 | 60 | j = 2; | |
94 |
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60 | PetscCall(DSVectors(ds,DS_MAT_X,&j,&rnorm)); /* third eigenvector */ |
95 |
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60 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Value of rnorm for 3rd vector = %.3f\n",(double)rnorm)); |
96 |
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60 | PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL)); /* all eigenvectors */ |
97 | 60 | j = 0; | |
98 | 60 | rnorm = 0.0; | |
99 |
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60 | PetscCall(DSGetArray(ds,DS_MAT_X,&X)); |
100 |
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780 | for (i=0;i<n;i++) { |
101 | 720 | aux = PetscAbsScalar(X[i+j*ld]); | |
102 | 720 | rnorm += aux*aux; | |
103 | } | ||
104 |
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60 | PetscCall(DSRestoreArray(ds,DS_MAT_X,&X)); |
105 | 60 | rnorm = PetscSqrtReal(rnorm); | |
106 |
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60 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st vector = %.3f\n",(double)rnorm)); |
107 |
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60 | if (verbose) { |
108 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After vectors - - - - - - - - -\n")); | |
109 | ✗ | PetscCall(DSView(ds,viewer)); | |
110 | } | ||
111 | |||
112 |
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60 | PetscCall(PetscFree(eig)); |
113 |
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60 | PetscCall(DSDestroy(&ds)); |
114 |
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60 | PetscCall(SlepcFinalize()); |
115 | return 0; | ||
116 | } | ||
117 | |||
118 | /*TEST | ||
119 | |||
120 | testset: | ||
121 | args: -n 12 -ds_method {{0 1 2}} | ||
122 | filter: grep -v "solving the problem" | sed -e "s/extrarow//" | ||
123 | output_file: output/test2_1.out | ||
124 | requires: !single | ||
125 | test: | ||
126 | suffix: 1 | ||
127 | test: | ||
128 | suffix: 2 | ||
129 | args: -extrarow | ||
130 | |||
131 | TEST*/ | ||
132 |