GCC Code Coverage Report


Directory: ./
File: src/svd/tutorials/cnetwork/embedgsvd.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 63 69 91.3%
Functions: 2 2 100.0%
Branches: 173 310 55.8%

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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
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10 PetscFunctionBeginUser;
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10 PetscCall(EPSCreate(PETSC_COMM_WORLD,&eps));
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10 PetscCall(EPSSetOperators(eps,A,NULL));
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10 PetscCall(EPSSetProblemType(eps,EPS_NHEP));
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10 PetscCall(EPSSetDimensions(eps,1,PETSC_DETERMINE,PETSC_DETERMINE));
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10 PetscCall(EPSSetWhichEigenpairs(eps,EPS_LARGEST_MAGNITUDE));
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10 PetscCall(EPSSetFromOptions(eps));
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10 PetscCall(EPSSolve(eps));
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10 PetscCall(EPSGetConverged(eps,&nconv));
41 10 *rho = 0.0;
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10 if (nconv) {
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10 PetscCall(EPSGetEigenvalue(eps,0,&kr,&ki));
44 10 *rho = SlepcAbsEigenvalue(kr,ki);
45 }
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10 PetscCall(EPSDestroy(&eps));
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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
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10 PetscFunctionBeginUser;
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10 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
61
62 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
63 Load graph and build adjacency matrix
64 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
65
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10 PetscCall(PetscOptionsGetString(NULL,NULL,"-graph",filename,sizeof(filename),&flg));
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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");
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10 PetscCall(GraphCreate(PETSC_COMM_WORLD,&graph));
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10 PetscCall(GraphPreload(graph,filename));
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10 PetscCheck(graph->type==GRAPH_DIRECTED,PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"A directed graph is required");
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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));
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10 if (graph->weight!=GRAPH_WEIGHT_UNWEIGHTED) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"WARNING: ignoring weights in input graph\n"));
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10 PetscCall(GraphPreallocate(graph,filename));
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10 PetscCall(GraphLoadUnweighted(graph,filename));
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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
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10 PetscCall(PetscOptionsGetReal(NULL,NULL,"-beta",&beta,NULL));
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10 if (beta==0.0) { /* compute decay parameter beta */
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computing spectral radius...\n"));
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10 PetscCall(SpectralRadius(graph->adjacency,&rho));
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10 if (rho) {
89 10 beta = 0.8*rho;
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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 }
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10 PetscCall(MatDuplicate(graph->adjacency,MAT_COPY_VALUES,&A));
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10 PetscCall(MatScale(A,-beta));
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10 PetscCall(MatShift(A,1.0));
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10 PetscCall(MatDuplicate(graph->adjacency,MAT_COPY_VALUES,&B));
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10 PetscCall(MatScale(B,beta));
101
102 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
103 Create the singular value solver and set various options
104 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
105
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10 PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd));
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10 PetscCall(SVDSetOperators(svd,A,B));
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10 PetscCall(SVDSetProblemType(svd,SVD_GENERALIZED));
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10 PetscCall(SVDSetType(svd,SVDTRLANCZOS));
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10 PetscCall(SVDSetFromOptions(svd));
111
112 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
113 Solve the problem and print solution
114 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
115
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10 PetscCall(SVDSolve(svd));
117
118 /* show detailed info unless -terse option is given by user */
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10 PetscCall(PetscOptionsHasName(NULL,NULL,"-terse",&terse));
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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 }
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10 PetscCall(SVDDestroy(&svd));
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10 PetscCall(GraphDestroy(&graph));
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10 PetscCall(MatDestroy(&A));
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10 PetscCall(MatDestroy(&B));
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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