| Line | Branch | Exec | Source |
|---|---|---|---|
| 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 |