Line | Branch | Exec | Source |
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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[] = "Computes a GSVD associated with a complex network analysis problem.\n\n" | ||
12 | "The command line options are:\n" | ||
13 | " -file <filename>, text file in TSV format containing undirected graph.\n" | ||
14 | " -beta <beta>, optional decay parameter.\n\n"; | ||
15 | |||
16 | /* | ||
17 | Computes the Katz high-order proximity embedding of a graph via a partial GSVD. | ||
18 | |||
19 | [1] M. Ou et al. "Asymmetric transitivity preserving graph embedding" Proc. of | ||
20 | ACM SIGKDD 2016 - https://doi.org/10.1145/2939672.2939751 | ||
21 | */ | ||
22 | |||
23 | #include <slepcsvd.h> | ||
24 | #include "network.h" | ||
25 | |||
26 | 10 | PetscErrorCode SpectralRadius(Mat A,PetscReal *rho) | |
27 | { | ||
28 | 10 | EPS eps; | |
29 | 10 | PetscInt nconv; | |
30 | 10 | PetscScalar kr,ki; | |
31 | |||
32 |
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10 | PetscFunctionBeginUser; |
33 |
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10 | PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps)); |
34 |
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10 | PetscCall(EPSSetOperators(eps,A,NULL)); |
35 |
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10 | PetscCall(EPSSetProblemType(eps,EPS_NHEP)); |
36 |
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10 | PetscCall(EPSSetDimensions(eps,1,PETSC_DETERMINE,PETSC_DETERMINE)); |
37 |
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10 | PetscCall(EPSSetWhichEigenpairs(eps,EPS_LARGEST_MAGNITUDE)); |
38 |
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10 | PetscCall(EPSSetFromOptions(eps)); |
39 |
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10 | PetscCall(EPSSolve(eps)); |
40 |
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10 | PetscCall(EPSGetConverged(eps,&nconv)); |
41 | 10 | *rho = 0.0; | |
42 |
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10 | if (nconv) { |
43 |
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10 | PetscCall(EPSGetEigenvalue(eps,0,&kr,&ki)); |
44 | 10 | *rho = SlepcAbsEigenvalue(kr,ki); | |
45 | } | ||
46 |
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10 | PetscCall(EPSDestroy(&eps)); |
47 |
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2 | PetscFunctionReturn(PETSC_SUCCESS); |
48 | } | ||
49 | |||
50 | 10 | int main(int argc,char **argv) | |
51 | { | ||
52 | 10 | Graph graph; /* directed graph */ | |
53 | 10 | Mat A,B; /* matrices */ | |
54 | 10 | SVD svd; /* singular value problem solver context */ | |
55 | 10 | PetscReal beta=0.0,rho=0.0; | |
56 | 10 | char filename[PETSC_MAX_PATH_LEN]; | |
57 | 10 | PetscBool flg,terse; | |
58 | |||
59 |
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10 | PetscFunctionBeginUser; |
60 |
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10 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
61 | |||
62 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
63 | Load graph and build adjacency matrix | ||
64 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
65 | |||
66 |
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10 | PetscCall(PetscOptionsGetString(NULL,NULL,"-graph",filename,sizeof(filename),&flg)); |
67 |
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10 | PetscCheck(flg,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"Must use -graph <name> to indicate a file containing the graph in TSV format"); |
68 | |||
69 |
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10 | PetscCall(GraphCreate(PETSC_COMM_WORLD,&graph)); |
70 |
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10 | PetscCall(GraphPreload(graph,filename)); |
71 |
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10 | PetscCheck(graph->type==GRAPH_DIRECTED,PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"A directed graph is required"); |
72 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nGraph with %" PetscInt_FMT " vertices and %" PetscInt_FMT " edges.\n\n",graph->nvertices,graph->nedges)); |
73 |
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10 | if (graph->weight!=GRAPH_WEIGHT_UNWEIGHTED) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"WARNING: ignoring weights in input graph\n")); |
74 | |||
75 |
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10 | PetscCall(GraphPreallocate(graph,filename)); |
76 |
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10 | PetscCall(GraphLoadUnweighted(graph,filename)); |
77 | |||
78 |
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10 | PetscCall(MatViewFromOptions(graph->adjacency,NULL,"-adjacency")); |
79 | |||
80 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
81 | Build high-order proximity matrices (Katz): A=I-beta*G, B=beta*G | ||
82 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
83 | |||
84 |
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10 | PetscCall(PetscOptionsGetReal(NULL,NULL,"-beta",&beta,NULL)); |
85 |
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10 | if (beta==0.0) { /* compute decay parameter beta */ |
86 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computing spectral radius...\n")); |
87 |
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10 | PetscCall(SpectralRadius(graph->adjacency,&rho)); |
88 |
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10 | if (rho) { |
89 | 10 | beta = 0.8*rho; | |
90 |
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10 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Done, rho=%g, setting decay parameter beta=%g\n\n",(double)rho,(double)beta)); |
91 | } else { | ||
92 | ✗ | beta = 0.5; | |
93 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Failed, using default decay parameter beta=%g\n\n",(double)beta)); | |
94 | } | ||
95 | } | ||
96 |
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10 | PetscCall(MatDuplicate(graph->adjacency,MAT_COPY_VALUES,&A)); |
97 |
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10 | PetscCall(MatScale(A,-beta)); |
98 |
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10 | PetscCall(MatShift(A,1.0)); |
99 |
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10 | PetscCall(MatDuplicate(graph->adjacency,MAT_COPY_VALUES,&B)); |
100 |
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10 | PetscCall(MatScale(B,beta)); |
101 | |||
102 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
103 | Create the singular value solver and set various options | ||
104 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
105 | |||
106 |
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10 | PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd)); |
107 |
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10 | PetscCall(SVDSetOperators(svd,A,B)); |
108 |
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10 | PetscCall(SVDSetProblemType(svd,SVD_GENERALIZED)); |
109 |
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10 | PetscCall(SVDSetType(svd,SVDTRLANCZOS)); |
110 |
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10 | PetscCall(SVDSetFromOptions(svd)); |
111 | |||
112 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
113 | Solve the problem and print solution | ||
114 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
115 | |||
116 |
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10 | PetscCall(SVDSolve(svd)); |
117 | |||
118 | /* show detailed info unless -terse option is given by user */ | ||
119 |
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10 | PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse)); |
120 |
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10 | if (terse) PetscCall(SVDErrorView(svd,SVD_ERROR_NORM,NULL)); |
121 | else { | ||
122 | ✗ | PetscCall(PetscViewerPushFormat(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_ASCII_INFO_DETAIL)); | |
123 | ✗ | PetscCall(SVDConvergedReasonView(svd,PETSC_VIEWER_STDOUT_WORLD)); | |
124 | ✗ | PetscCall(SVDErrorView(svd,SVD_ERROR_NORM,PETSC_VIEWER_STDOUT_WORLD)); | |
125 | ✗ | PetscCall(PetscViewerPopFormat(PETSC_VIEWER_STDOUT_WORLD)); | |
126 | } | ||
127 |
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10 | PetscCall(SVDDestroy(&svd)); |
128 |
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10 | PetscCall(GraphDestroy(&graph)); |
129 |
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10 | PetscCall(MatDestroy(&A)); |
130 |
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10 | PetscCall(MatDestroy(&B)); |
131 |
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10 | PetscCall(SlepcFinalize()); |
132 | return 0; | ||
133 | } | ||
134 | /*TEST | ||
135 | |||
136 | build: | ||
137 | depends: network.o | ||
138 | |||
139 | test: | ||
140 | args: -graph ${SLEPC_DIR}/share/slepc/datafiles/graphs/out.moreno_taro_taro -svd_nsv 4 -terse | ||
141 | filter: sed -e 's/4.38031/4.38032/' | sed -e 's/4.38033/4.38032/' | sed -e 's/3.75089/3.7509/' | sed -e 's/3.00071/3.00072/' | ||
142 | |||
143 | TEST*/ | ||
144 |