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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 with complex eigenvalues.\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,*M,*wr,*wi; | |
22 | 10 | PetscReal re,im,nrm; | |
23 | 10 | PetscInt i,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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80 | for (i=0;i<n;i++) K[i+i*ld] = 2.0; |
54 |
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70 | for (i=1;i<n;i++) { |
55 | 60 | K[i+(i-1)*ld] = -1.0; | |
56 | 60 | K[(i-1)+i*ld] = -1.0; | |
57 | } | ||
58 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_E0,&K)); |
59 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_E2,&M)); |
60 |
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80 | for (i=0;i<n;i++) M[i+i*ld] = 1.0; |
61 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_E2,&M)); |
62 | |||
63 |
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10 | if (verbose) { |
64 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n")); | |
65 | ✗ | PetscCall(DSView(ds,viewer)); | |
66 | } | ||
67 | |||
68 | /* Solve */ | ||
69 |
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10 | PetscCall(PetscMalloc2(d*n,&wr,d*n,&wi)); |
70 |
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10 | PetscCall(DSGetSlepcSC(ds,&sc)); |
71 | 10 | sc->comparison = SlepcCompareLargestImaginary; | |
72 | 10 | sc->comparisonctx = NULL; | |
73 | 10 | sc->map = NULL; | |
74 | 10 | sc->mapobj = NULL; | |
75 |
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10 | PetscCall(DSSolve(ds,wr,wi)); |
76 |
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10 | PetscCall(DSSort(ds,wr,wi,NULL,NULL,NULL)); |
77 |
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10 | if (verbose) { |
78 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n")); | |
79 | ✗ | PetscCall(DSView(ds,viewer)); | |
80 | } | ||
81 | |||
82 | /* Print eigenvalues */ | ||
83 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed eigenvalues =\n")); |
84 |
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150 | for (i=0;i<d*n;i++) { |
85 | #if defined(PETSC_USE_COMPLEX) | ||
86 | 70 | re = PetscRealPart(wr[i]); | |
87 | 70 | im = PetscImaginaryPart(wr[i]); | |
88 | #else | ||
89 | 70 | re = wr[i]; | |
90 | 70 | im = wi[i]; | |
91 | #endif | ||
92 |
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140 | if (PetscAbs(im)<1e-10) PetscCall(PetscViewerASCIIPrintf(viewer," %.5f\n",(double)re)); |
93 |
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140 | else PetscCall(PetscViewerASCIIPrintf(viewer," %.5f%+.5fi\n",(double)re,(double)im)); |
94 | } | ||
95 | |||
96 | /* Eigenvectors */ | ||
97 |
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10 | PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL)); /* all eigenvectors */ |
98 |
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10 | PetscCall(DSGetMat(ds,DS_MAT_X,&X)); |
99 |
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10 | PetscCall(MatCreateVecs(X,NULL,&x0)); |
100 |
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10 | PetscCall(MatGetColumnVector(X,x0,1)); |
101 |
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10 | PetscCall(VecNorm(x0,NORM_2,&nrm)); |
102 |
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10 | PetscCall(DSRestoreMat(ds,DS_MAT_X,&X)); |
103 |
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10 | PetscCall(VecDestroy(&x0)); |
104 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 2nd column of X = %.3f\n",(double)nrm)); |
105 |
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10 | if (verbose) { |
106 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After vectors - - - - - - - - -\n")); | |
107 | ✗ | PetscCall(DSView(ds,viewer)); | |
108 | } | ||
109 | |||
110 |
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10 | PetscCall(PetscFree2(wr,wi)); |
111 |
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10 | PetscCall(DSDestroy(&ds)); |
112 |
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10 | PetscCall(SlepcFinalize()); |
113 | return 0; | ||
114 | } | ||
115 | |||
116 | /*TEST | ||
117 | |||
118 | test: | ||
119 | suffix: 1 | ||
120 | args: -n 7 | ||
121 | requires: !complex | ||
122 | filter: sed -e 's/-0.00000/0.00000/' | ||
123 | |||
124 | test: | ||
125 | suffix: 1_complex | ||
126 | args: -n 7 | ||
127 | requires: complex | ||
128 | filter: sed -e 's/-0.00000/0.00000/' | ||
129 | |||
130 | TEST*/ | ||
131 |