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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 DSPEP.\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 | Mat X; | |
20 | 10 | Vec x0; | |
21 | 10 | PetscScalar *K,*C,*M,*wr,*wi,z=1.0; | |
22 | 10 | PetscReal re,im,nrm,*pbc; | |
23 | 10 | PetscInt i,j,n=10,d=2,ld; | |
24 | 10 | PetscViewer viewer; | |
25 | 10 | PetscBool verbose; | |
26 | |||
27 |
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10 | PetscFunctionBeginUser; |
28 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
29 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
30 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type PEP - n=%" PetscInt_FMT ".\n",n)); |
31 |
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10 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
32 | |||
33 | /* Create DS object */ | ||
34 |
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10 | PetscCall(DSCreate(PETSC_COMM_WORLD,&ds)); |
35 |
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10 | PetscCall(DSSetType(ds,DSPEP)); |
36 |
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10 | PetscCall(DSSetFromOptions(ds)); |
37 |
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10 | PetscCall(DSPEPSetDegree(ds,d)); |
38 | |||
39 | /* Set dimensions */ | ||
40 | 10 | ld = n+2; /* test leading dimension larger than n */ | |
41 |
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10 | PetscCall(DSAllocate(ds,ld)); |
42 |
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10 | PetscCall(DSSetDimensions(ds,n,0,0)); |
43 | |||
44 | /* Set up viewer */ | ||
45 |
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10 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
46 |
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10 | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL)); |
47 |
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10 | PetscCall(DSView(ds,viewer)); |
48 |
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10 | PetscCall(PetscViewerPopFormat(viewer)); |
49 |
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10 | if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB)); |
50 | |||
51 | /* Fill matrices */ | ||
52 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_E0,&K)); |
53 |
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100 | for (i=0;i<n-1;i++) K[i+i*ld] = 2.0*n; |
54 | 10 | K[n-1+(n-1)*ld] = 1.0*n; | |
55 |
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100 | for (i=1;i<n;i++) { |
56 | 90 | K[i+(i-1)*ld] = -1.0*n; | |
57 | 90 | K[(i-1)+i*ld] = -1.0*n; | |
58 | } | ||
59 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_E0,&K)); |
60 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_E1,&C)); |
61 | 10 | C[n-1+(n-1)*ld] = 2.0*PETSC_PI/z; | |
62 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_E1,&C)); |
63 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_E2,&M)); |
64 |
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100 | for (i=0;i<n-1;i++) M[i+i*ld] = -4.0*PETSC_PI*PETSC_PI/n; |
65 | 10 | M[i+i*ld] = -2.0*PETSC_PI*PETSC_PI/n; | |
66 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_E2,&M)); |
67 | |||
68 |
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10 | if (verbose) { |
69 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n")); | |
70 | ✗ | PetscCall(DSView(ds,viewer)); | |
71 | } | ||
72 | |||
73 | /* Solve */ | ||
74 |
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10 | PetscCall(PetscMalloc2(d*n,&wr,d*n,&wi)); |
75 |
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10 | PetscCall(DSGetSlepcSC(ds,&sc)); |
76 | 10 | sc->comparison = SlepcCompareLargestReal; | |
77 | 10 | sc->comparisonctx = NULL; | |
78 | 10 | sc->map = NULL; | |
79 | 10 | sc->mapobj = NULL; | |
80 |
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10 | PetscCall(DSSolve(ds,wr,wi)); |
81 |
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10 | PetscCall(DSSort(ds,wr,wi,NULL,NULL,NULL)); |
82 |
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10 | if (verbose) { |
83 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n")); | |
84 | ✗ | PetscCall(DSView(ds,viewer)); | |
85 | } | ||
86 | |||
87 | /* Print polynomial coefficients */ | ||
88 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Polynomial coefficients (alpha,beta,gamma) =\n")); |
89 |
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10 | PetscCall(DSPEPGetCoefficients(ds,&pbc)); |
90 |
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40 | for (j=0;j<3;j++) { |
91 |
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120 | for (i=0;i<d+1;i++) PetscCall(PetscViewerASCIIPrintf(viewer," %.5f",(double)pbc[j+3*i])); |
92 |
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30 | PetscCall(PetscViewerASCIIPrintf(viewer,"\n")); |
93 | } | ||
94 |
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10 | PetscCall(PetscFree(pbc)); |
95 | |||
96 | /* Print eigenvalues */ | ||
97 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n")); |
98 |
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210 | for (i=0;i<d*n;i++) { |
99 | #if defined(PETSC_USE_COMPLEX) | ||
100 | 100 | re = PetscRealPart(wr[i]); | |
101 | 100 | im = PetscImaginaryPart(wr[i]); | |
102 | #else | ||
103 | 100 | re = wr[i]; | |
104 | 100 | im = wi[i]; | |
105 | #endif | ||
106 |
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200 | if (PetscAbs(im)<1e-10) PetscCall(PetscViewerASCIIPrintf(viewer," %.5f\n",(double)re)); |
107 |
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200 | else PetscCall(PetscViewerASCIIPrintf(viewer," %.5f%+.5fi\n",(double)re,(double)im)); |
108 | } | ||
109 | |||
110 | /* Eigenvectors */ | ||
111 |
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10 | PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL)); /* all eigenvectors */ |
112 |
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10 | PetscCall(DSGetMat(ds,DS_MAT_X,&X)); |
113 |
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10 | PetscCall(MatCreateVecs(X,NULL,&x0)); |
114 |
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10 | PetscCall(MatGetColumnVector(X,x0,0)); |
115 |
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10 | PetscCall(VecNorm(x0,NORM_2,&nrm)); |
116 |
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10 | PetscCall(DSRestoreMat(ds,DS_MAT_X,&X)); |
117 |
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10 | PetscCall(VecDestroy(&x0)); |
118 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st vector = %.3f\n",(double)nrm)); |
119 |
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10 | if (verbose) { |
120 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After vectors - - - - - - - - -\n")); | |
121 | ✗ | PetscCall(DSView(ds,viewer)); | |
122 | } | ||
123 | |||
124 |
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10 | PetscCall(PetscFree2(wr,wi)); |
125 |
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10 | PetscCall(DSDestroy(&ds)); |
126 |
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10 | PetscCall(SlepcFinalize()); |
127 | return 0; | ||
128 | } | ||
129 | |||
130 | /*TEST | ||
131 | |||
132 | test: | ||
133 | suffix: 1 | ||
134 | requires: !single | ||
135 | |||
136 | TEST*/ | ||
137 |