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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[] = "SVD via the cross-product matrix with a user-provided EPS.\n\n" | ||
12 | "The command line options are:\n" | ||
13 | " -m <m>, where <m> = matrix rows.\n" | ||
14 | " -n <n>, where <n> = matrix columns (defaults to m+2).\n\n"; | ||
15 | |||
16 | #include <slepcsvd.h> | ||
17 | |||
18 | /* | ||
19 | This example computes the singular values of a rectangular bidiagonal matrix | ||
20 | |||
21 | | 1 2 | | ||
22 | | 1 2 | | ||
23 | | 1 2 | | ||
24 | A = | . . | | ||
25 | | . . | | ||
26 | | 1 2 | | ||
27 | | 1 2 | | ||
28 | */ | ||
29 | |||
30 | 24 | int main(int argc,char **argv) | |
31 | { | ||
32 | 24 | Mat A; | |
33 | 24 | SVD svd; | |
34 | 24 | EPS eps; | |
35 | 24 | ST st; | |
36 | 24 | KSP ksp; | |
37 | 24 | PC pc; | |
38 | 24 | PetscInt m=20,n,Istart,Iend,i,col[2]; | |
39 | 24 | PetscScalar value[] = { 1, 2 }; | |
40 | 24 | PetscBool flg,expmat; | |
41 | |||
42 |
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24 | PetscFunctionBeginUser; |
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24 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
44 |
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24 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL)); |
45 |
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24 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,&flg)); |
46 |
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24 | if (!flg) n=m+2; |
47 |
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24 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nRectangular bidiagonal matrix, m=%" PetscInt_FMT " n=%" PetscInt_FMT "\n\n",m,n)); |
48 | |||
49 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
50 | Generate the matrix | ||
51 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
52 | |||
53 |
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24 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
54 |
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24 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,m,n)); |
55 |
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24 | PetscCall(MatSetFromOptions(A)); |
56 |
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24 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
57 |
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504 | for (i=Istart;i<Iend;i++) { |
58 | 480 | col[0]=i; col[1]=i+1; | |
59 |
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480 | if (i<n-1) PetscCall(MatSetValues(A,1,&i,2,col,value,INSERT_VALUES)); |
60 |
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480 | else if (i==n-1) PetscCall(MatSetValue(A,i,col[0],value[0],INSERT_VALUES)); |
61 | } | ||
62 |
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24 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
63 |
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24 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
64 | |||
65 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
66 | Create a standalone EPS with appropriate settings | ||
67 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
68 | |||
69 |
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24 | PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps)); |
70 |
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24 | PetscCall(EPSGetST(eps,&st)); |
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24 | PetscCall(STSetType(st,STSINVERT)); |
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24 | PetscCall(STGetKSP(st,&ksp)); |
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24 | PetscCall(KSPSetType(ksp,KSPBCGS)); |
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24 | PetscCall(KSPGetPC(ksp,&pc)); |
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24 | PetscCall(PCSetType(pc,PCJACOBI)); |
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24 | PetscCall(EPSSetFromOptions(eps)); |
77 | |||
78 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
79 | Compute singular values | ||
80 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
81 | |||
82 |
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24 | PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd)); |
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24 | PetscCall(SVDSetOperators(svd,A,NULL)); |
84 |
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24 | PetscCall(SVDSetType(svd,SVDCROSS)); |
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24 | PetscCall(SVDCrossSetEPS(svd,eps)); |
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24 | PetscCall(SVDSetWhichSingularTriplets(svd,SVD_SMALLEST)); |
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24 | PetscCall(SVDSetFromOptions(svd)); |
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24 | PetscCall(PetscObjectTypeCompare((PetscObject)svd,SVDCROSS,&flg)); |
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24 | if (flg) { |
90 |
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24 | PetscCall(SVDCrossGetExplicitMatrix(svd,&expmat)); |
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24 | if (expmat) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Using explicit matrix with cross solver\n")); |
92 | } | ||
93 |
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24 | PetscCall(SVDSolve(svd)); |
94 | |||
95 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
96 | Display solution and clean up | ||
97 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
98 |
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24 | PetscCall(SVDErrorView(svd,SVD_ERROR_NORM,PETSC_VIEWER_STDOUT_WORLD)); |
99 |
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24 | PetscCall(SVDDestroy(&svd)); |
100 |
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24 | PetscCall(EPSDestroy(&eps)); |
101 |
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24 | PetscCall(MatDestroy(&A)); |
102 |
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24 | PetscCall(SlepcFinalize()); |
103 | return 0; | ||
104 | } | ||
105 | |||
106 | /*TEST | ||
107 | |||
108 | testset: | ||
109 | output_file: output/test6_1.out | ||
110 | test: | ||
111 | suffix: 1_subspace | ||
112 | args: -eps_type subspace | ||
113 | test: | ||
114 | suffix: 1_lobpcg | ||
115 | args: -eps_type lobpcg -st_type precond | ||
116 | test: | ||
117 | suffix: 2_cuda | ||
118 | args: -eps_type subspace -mat_type aijcusparse | ||
119 | requires: cuda | ||
120 | test: | ||
121 | suffix: 2_hip | ||
122 | args: -eps_type subspace -mat_type aijhipsparse | ||
123 | requires: hip | ||
124 | |||
125 | TEST*/ | ||
126 |