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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 DSHSVD with dense storage.\n\n"; | ||
12 | |||
13 | #include <slepcds.h> | ||
14 | |||
15 | 10 | int main(int argc,char **argv) | |
16 | { | ||
17 | 10 | DS ds; | |
18 | 10 | SlepcSC sc; | |
19 | 10 | PetscReal *D,sigma,rnorm,aux; | |
20 | 10 | PetscScalar *A,*U,*w; | |
21 | 10 | PetscInt i,j,k,n=15,m=10,m1,p=1,ld; | |
22 | 10 | PetscViewer viewer; | |
23 | 10 | PetscBool verbose; | |
24 | |||
25 |
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10 | PetscFunctionBeginUser; |
26 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
27 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
28 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL)); |
29 | 10 | k = PetscMin(n,m); | |
30 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type HSVD - dimension %" PetscInt_FMT "x%" PetscInt_FMT ".\n",n,m)); |
31 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-p",&p,NULL)); |
32 |
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10 | PetscCheck(p>=0 && p<=m,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Wrong value %" PetscInt_FMT ", must be 0<=p<=%" PetscInt_FMT,p,m); |
33 |
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10 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
34 | |||
35 | /* Create DS object */ | ||
36 |
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10 | PetscCall(DSCreate(PETSC_COMM_WORLD,&ds)); |
37 |
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10 | PetscCall(DSSetType(ds,DSHSVD)); |
38 |
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10 | PetscCall(DSSetFromOptions(ds)); |
39 | 10 | ld = PetscMax(n,m)+2; /* test leading dimension larger than n */ | |
40 |
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10 | PetscCall(DSAllocate(ds,ld)); |
41 |
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10 | PetscCall(DSSetDimensions(ds,n,0,0)); |
42 |
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10 | PetscCall(DSHSVDSetDimensions(ds,m)); |
43 |
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10 | PetscCall(DSHSVDGetDimensions(ds,&m1)); |
44 |
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10 | PetscCheck(m1==m,PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Inconsistent dimension value"); |
45 | |||
46 | /* Set up viewer */ | ||
47 |
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10 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
48 |
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10 | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL)); |
49 |
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10 | PetscCall(DSView(ds,viewer)); |
50 |
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10 | PetscCall(PetscViewerPopFormat(viewer)); |
51 | |||
52 | /* Fill with a rectangular Toeplitz matrix */ | ||
53 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_A,&A)); |
54 |
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110 | for (i=0;i<k;i++) A[i+i*ld]=1.0; |
55 |
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30 | for (j=1;j<3;j++) { |
56 |
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190 | for (i=0;i<m-j;i++) { |
57 |
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170 | if ((i+j)<m) A[i+(i+j)*ld]=(PetscScalar)(j+1); |
58 | } | ||
59 | } | ||
60 |
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70 | for (j=1;j<n/2;j++) { |
61 |
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750 | for (i=0;i<n-j;i++) { |
62 |
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690 | if ((i+j)<n && i<m) A[(i+j)+i*ld]=-1.0; |
63 | } | ||
64 | } | ||
65 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_A,&A)); |
66 | /* Fill signature matrix */ | ||
67 |
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10 | PetscCall(DSGetArrayReal(ds,DS_MAT_D,&D)); |
68 |
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160 | for (i=0;i<n;i++) D[i] = (i<p)? -1.0: 1.0; |
69 |
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10 | PetscCall(DSRestoreArrayReal(ds,DS_MAT_D,&D)); |
70 |
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10 | PetscCall(DSSetState(ds,DS_STATE_RAW)); |
71 |
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10 | if (verbose) { |
72 | ✗ | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB)); | |
73 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n")); | |
74 | } | ||
75 |
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10 | PetscCall(DSView(ds,viewer)); |
76 | |||
77 | /* Solve */ | ||
78 |
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10 | PetscCall(PetscMalloc1(k,&w)); |
79 |
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10 | PetscCall(DSGetSlepcSC(ds,&sc)); |
80 | 10 | sc->comparison = SlepcCompareLargestReal; | |
81 | 10 | sc->comparisonctx = NULL; | |
82 | 10 | sc->map = NULL; | |
83 | 10 | sc->mapobj = NULL; | |
84 |
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10 | PetscCall(DSSolve(ds,w,NULL)); |
85 |
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10 | PetscCall(DSSort(ds,w,NULL,NULL,NULL,NULL)); |
86 |
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10 | if (verbose) { |
87 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n")); | |
88 | ✗ | PetscCall(DSView(ds,viewer)); | |
89 | } | ||
90 | |||
91 | /* Print singular values */ | ||
92 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed singular values =\n")); |
93 |
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110 | for (i=0;i<k;i++) { |
94 | 100 | sigma = PetscRealPart(w[i]); | |
95 |
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100 | PetscCall(PetscViewerASCIIPrintf(viewer," %.5f\n",(double)sigma)); |
96 | } | ||
97 | |||
98 | /* Singular vectors */ | ||
99 |
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10 | PetscCall(DSVectors(ds,DS_MAT_U,NULL,NULL)); /* all singular vectors */ |
100 | 10 | j = 0; | |
101 | 10 | rnorm = 0.0; | |
102 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_U,&U)); |
103 |
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160 | for (i=0;i<n;i++) { |
104 | 150 | aux = PetscAbsScalar(U[i+j*ld]); | |
105 | 150 | rnorm += aux*aux; | |
106 | } | ||
107 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_U,&U)); |
108 | 10 | rnorm = PetscSqrtReal(rnorm); | |
109 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st U vector = %.3f\n",(double)rnorm)); |
110 | |||
111 |
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10 | PetscCall(PetscFree(w)); |
112 |
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10 | PetscCall(DSDestroy(&ds)); |
113 |
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10 | PetscCall(SlepcFinalize()); |
114 | return 0; | ||
115 | } | ||
116 | |||
117 | /*TEST | ||
118 | |||
119 | test: | ||
120 | suffix: 1 | ||
121 | requires: !single | ||
122 | |||
123 | TEST*/ | ||
124 |