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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 DSGNHEP with upper quasi-triangular matrix pair.\n\n"; | ||
12 | |||
13 | #include <slepcds.h> | ||
14 | |||
15 | 10 | int main(int argc,char **argv) | |
16 | { | ||
17 | 10 | DS ds; | |
18 | 10 | PetscScalar *A,*B,*X; | |
19 | 10 | PetscReal rnorm,aux; | |
20 | 10 | PetscInt i,j,n=10,ld; | |
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,"Solve a Dense System of type GNHEP - 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,DSGNHEP)); |
33 |
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10 | PetscCall(DSSetFromOptions(ds)); |
34 | 10 | ld = n+2; /* test leading dimension larger than n */ | |
35 |
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10 | PetscCall(DSAllocate(ds,ld)); |
36 |
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10 | PetscCall(DSSetDimensions(ds,n,0,0)); |
37 | |||
38 | /* Set up viewer */ | ||
39 |
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10 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
40 |
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10 | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL)); |
41 |
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10 | PetscCall(DSView(ds,viewer)); |
42 |
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10 | PetscCall(PetscViewerPopFormat(viewer)); |
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10 | if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB)); |
44 | |||
45 | /* Fill A,B with upper quasi-triangular matrices */ | ||
46 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_A,&A)); |
47 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_B,&B)); |
48 |
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10 | PetscCall(PetscArrayzero(A,ld*n)); |
49 |
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110 | for (i=0;i<n;i++) A[i+i*ld]=2.0; |
50 |
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30 | for (j=1;j<3;j++) { |
51 |
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190 | for (i=0;i<n-j;i++) A[i+(i+j)*ld]=0.001; |
52 | } | ||
53 |
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10 | PetscCall(PetscArrayzero(B,ld*n)); |
54 |
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110 | for (i=0;i<n;i++) B[i+i*ld]=1.0; |
55 | 10 | B[1+0*ld]=B[0+1*ld]=PETSC_MACHINE_EPSILON; | |
56 |
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40 | for (i=1;i<n;i+=3) { |
57 | 30 | A[i+(i-1)*ld]=-A[(i-1)+i*ld]; | |
58 | } | ||
59 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_A,&A)); |
60 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_B,&B)); |
61 |
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10 | PetscCall(DSSetState(ds,DS_STATE_INTERMEDIATE)); |
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 | /* Eigenvectors */ | ||
69 | 10 | j = 0; | |
70 |
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10 | PetscCall(DSVectors(ds,DS_MAT_X,&j,&rnorm)); /* first eigenvector */ |
71 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Value of rnorm for 2nd vector = %.3f\n",(double)rnorm)); |
72 |
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10 | PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL)); /* all eigenvectors */ |
73 | 10 | j = 0; | |
74 | 10 | rnorm = 0.0; | |
75 |
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10 | PetscCall(DSGetArray(ds,DS_MAT_X,&X)); |
76 |
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110 | for (i=0;i<n;i++) { |
77 | #if defined(PETSC_USE_COMPLEX) | ||
78 | 50 | aux = PetscAbsScalar(X[i+j*ld]); | |
79 | #else | ||
80 | 50 | aux = SlepcAbsEigenvalue(X[i+j*ld],X[i+(j+1)*ld]); | |
81 | #endif | ||
82 | 100 | rnorm += aux*aux; | |
83 | } | ||
84 |
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10 | PetscCall(DSRestoreArray(ds,DS_MAT_X,&X)); |
85 | 10 | rnorm = PetscSqrtReal(rnorm); | |
86 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st columns = %.3f\n",(double)rnorm)); |
87 |
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10 | if (verbose) { |
88 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After vectors - - - - - - - - -\n")); | |
89 | ✗ | PetscCall(DSView(ds,viewer)); | |
90 | } | ||
91 | |||
92 |
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10 | PetscCall(DSDestroy(&ds)); |
93 |
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10 | PetscCall(SlepcFinalize()); |
94 | return 0; | ||
95 | } | ||
96 | |||
97 | /*TEST | ||
98 | |||
99 | test: | ||
100 | suffix: 1 | ||
101 | filter: sed -e "s/-0\./0./" | ||
102 | |||
103 | TEST*/ | ||
104 |