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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 setting and getting the signature in HSVD.\n\n" | ||
12 | "Based on ex15.c. The command line options are:\n" | ||
13 | " -n <n>, where <n> = matrix dimension.\n" | ||
14 | " -mu <mu>, where <mu> = subdiagonal value.\n\n"; | ||
15 | |||
16 | #include <slepcsvd.h> | ||
17 | |||
18 | 10 | int main(int argc,char **argv) | |
19 | { | ||
20 | 10 | Mat A; /* operator matrix */ | |
21 | 10 | Vec omega,v; /* signature */ | |
22 | 10 | SVD svd; /* singular value problem solver context */ | |
23 | 10 | PetscReal mu=PETSC_SQRT_MACHINE_EPSILON; | |
24 | 10 | PetscInt n=50,i,j,Istart,Iend; | |
25 | |||
26 |
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10 | PetscFunctionBeginUser; |
27 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
28 | |||
29 |
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10 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
30 |
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10 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-mu",&mu,NULL)); |
31 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nLauchli hyperbolic singular value decomposition, (%" PetscInt_FMT " x %" PetscInt_FMT ") mu=%g\n\n",n+1,n,(double)mu)); |
32 | |||
33 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
34 | Build Lauchli matrix and signature | ||
35 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
36 | |||
37 |
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10 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
38 |
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10 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n+1,n)); |
39 |
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10 | PetscCall(MatSetFromOptions(A)); |
40 | |||
41 |
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10 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
42 |
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520 | for (i=Istart;i<Iend;i++) { |
43 |
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510 | if (i == 0) { |
44 |
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510 | for (j=0;j<n;j++) PetscCall(MatSetValue(A,0,j,1.0,INSERT_VALUES)); |
45 |
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510 | } else PetscCall(MatSetValue(A,i,i-1,mu,INSERT_VALUES)); |
46 | } | ||
47 |
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10 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
48 |
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10 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
49 | |||
50 | /* signature omega = [ -1 1 1 ... 1 ] */ | ||
51 |
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10 | PetscCall(MatCreateVecs(A,NULL,&omega)); |
52 |
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10 | PetscCall(VecSet(omega,1.0)); |
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10 | PetscCall(VecGetOwnershipRange(omega,&Istart,NULL)); |
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10 | if (Istart==0) PetscCall(VecSetValue(omega,0,-1.0,INSERT_VALUES)); |
55 |
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10 | PetscCall(VecAssemblyBegin(omega)); |
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10 | PetscCall(VecAssemblyEnd(omega)); |
57 | |||
58 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
59 | Create the singular value solver and set various options | ||
60 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
61 | |||
62 |
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10 | PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd)); |
63 |
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10 | PetscCall(SVDSetSignature(svd,omega)); |
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10 | PetscCall(SVDSetOperators(svd,A,NULL)); |
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10 | PetscCall(SVDSetType(svd,SVDTRLANCZOS)); |
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10 | PetscCall(SVDSetFromOptions(svd)); |
67 | |||
68 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
69 | Solve the problem and display solution | ||
70 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
71 | |||
72 |
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10 | PetscCall(SVDSolve(svd)); |
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10 | PetscCall(SVDErrorView(svd,SVD_ERROR_RELATIVE,PETSC_VIEWER_STDOUT_WORLD)); |
74 | |||
75 | /* Test getting the signature */ | ||
76 |
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10 | PetscCall(MatCreateVecs(A,NULL,&v)); |
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10 | PetscCall(SVDGetSignature(svd,v)); |
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10 | PetscCall(VecView(v,NULL)); |
79 | |||
80 | /* Free work space */ | ||
81 |
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10 | PetscCall(SVDDestroy(&svd)); |
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10 | PetscCall(MatDestroy(&A)); |
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10 | PetscCall(VecDestroy(&omega)); |
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10 | PetscCall(VecDestroy(&v)); |
85 |
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10 | PetscCall(SlepcFinalize()); |
86 | return 0; | ||
87 | } | ||
88 | |||
89 | /*TEST | ||
90 | |||
91 | test: | ||
92 | requires: double | ||
93 | suffix: 1 | ||
94 | |||
95 | TEST*/ | ||
96 |