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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 pseudo-orthogonalization.\n\n"; | ||
12 | |||
13 | #include <slepcds.h> | ||
14 | |||
15 | 10 | int main(int argc,char **argv) | |
16 | { | ||
17 | 10 | DS ds; | |
18 | 10 | PetscReal *s,*ns; | |
19 | 10 | PetscScalar *A; | |
20 | 10 | PetscInt i,j,n=10; | |
21 | 10 | PetscViewer viewer; | |
22 | 10 | PetscBool verbose; | |
23 | |||
24 |
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10 | PetscFunctionBeginUser; |
25 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
26 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
27 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test pseudo-orthogonalization for GHIEP - dimension %" PetscInt_FMT ".\n",n)); |
28 |
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10 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
29 | |||
30 | /* Create DS object */ | ||
31 |
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10 | PetscCall(DSCreate(PETSC_COMM_WORLD,&ds)); |
32 |
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10 | PetscCall(DSSetType(ds,DSGHIEP)); |
33 |
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10 | PetscCall(DSSetFromOptions(ds)); |
34 |
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10 | PetscCall(DSAllocate(ds,n)); |
35 |
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10 | PetscCall(DSSetDimensions(ds,n,0,0)); |
36 | |||
37 | /* Set up viewer */ | ||
38 |
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10 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
39 |
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10 | if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB)); |
40 | |||
41 | /* Fill with a symmetric Toeplitz matrix */ | ||
42 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_A,&A)); |
43 |
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110 | for (i=0;i<n;i++) A[i+i*n]=2.0; |
44 |
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30 | for (j=1;j<3;j++) { |
45 |
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190 | for (i=0;i<n-j;i++) { A[i+(i+j)*n]=1.0; A[(i+j)+i*n]=1.0; } |
46 | } | ||
47 |
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30 | for (j=1;j<3;j++) { A[0+j*n]=-1.0*(j+2); A[j+0*n]=-1.0*(j+2); } |
48 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_A,&A)); |
49 |
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10 | PetscCall(DSSetState(ds,DS_STATE_RAW)); |
50 |
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10 | if (verbose) { |
51 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n")); | |
52 | ✗ | PetscCall(DSView(ds,viewer)); | |
53 | } | ||
54 | |||
55 | /* Signature matrix */ | ||
56 |
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10 | PetscCall(PetscMalloc2(n,&s,n,&ns)); |
57 | 10 | s[0] = -1.0; | |
58 |
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90 | for (i=1;i<n-1;i++) s[i]=1.0; |
59 | 10 | s[n-1] = -1.0; | |
60 | |||
61 | /* Orthogonalize and show signature */ | ||
62 |
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10 | PetscCall(DSPseudoOrthogonalize(ds,DS_MAT_A,n,s,NULL,ns)); |
63 |
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10 | if (verbose) { |
64 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After pseudo-orthogonalize - - - - - - - - -\n")); | |
65 | ✗ | PetscCall(DSView(ds,viewer)); | |
66 | } | ||
67 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Resulting signature:\n")); |
68 |
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110 | for (i=0;i<n;i++) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"%g\n",(double)ns[i])); |
69 |
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10 | PetscCall(PetscFree2(s,ns)); |
70 | |||
71 |
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10 | PetscCall(DSDestroy(&ds)); |
72 |
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10 | PetscCall(SlepcFinalize()); |
73 | return 0; | ||
74 | } | ||
75 | |||
76 | /*TEST | ||
77 | |||
78 | test: | ||
79 | suffix: 1 | ||
80 | |||
81 | TEST*/ | ||
82 |