diff options
Diffstat (limited to 'src/pm')
| -rw-r--r-- | src/pm/Makefile.am | 5 | ||||
| -rw-r--r-- | src/pm/Makefile.in | 578 | ||||
| -rw-r--r-- | src/pm/README | 1 | ||||
| -rw-r--r-- | src/pm/pm.c | 231 |
4 files changed, 815 insertions, 0 deletions
diff --git a/src/pm/Makefile.am b/src/pm/Makefile.am new file mode 100644 index 0000000..0d8dcca --- /dev/null +++ b/src/pm/Makefile.am @@ -0,0 +1,5 @@ +include ../common.mk +bin_PROGRAMS = pm +pm_SOURCES = pm.c ../utils/utils.c ../include/utils.h +pm_LDADD = -lm + diff --git a/src/pm/Makefile.in b/src/pm/Makefile.in new file mode 100644 index 0000000..bbc8fdd --- /dev/null +++ b/src/pm/Makefile.in @@ -0,0 +1,578 @@ +# Makefile.in generated by automake 1.15 from Makefile.am. +# @configure_input@ + +# Copyright (C) 1994-2014 Free Software Foundation, Inc. + +# This Makefile.in is free software; the Free Software Foundation +# gives unlimited permission to copy and/or distribute it, +# with or without modifications, as long as this notice is preserved. + +# This program is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY, to the extent permitted by law; without +# even the implied warranty of MERCHANTABILITY or FITNESS FOR A +# PARTICULAR PURPOSE. + +@SET_MAKE@ + +VPATH = @srcdir@ +am__is_gnu_make = { \ + if test -z '$(MAKELEVEL)'; then \ + false; \ + elif test -n '$(MAKE_HOST)'; then \ + true; \ + elif test -n '$(MAKE_VERSION)' && test -n '$(CURDIR)'; then \ + true; \ + else \ + false; \ + fi; \ +} +am__make_running_with_option = \ + case $${target_option-} in \ + ?) ;; \ + *) echo "am__make_running_with_option: internal error: invalid" \ + "target option '$${target_option-}' specified" >&2; \ + exit 1;; \ + esac; \ + has_opt=no; \ + sane_makeflags=$$MAKEFLAGS; \ + if $(am__is_gnu_make); then \ + sane_makeflags=$$MFLAGS; \ + else \ + case $$MAKEFLAGS in \ + *\\[\ \ ]*) \ + bs=\\; \ + sane_makeflags=`printf '%s\n' "$$MAKEFLAGS" \ + | sed "s/$$bs$$bs[$$bs $$bs ]*//g"`;; \ + esac; \ + fi; \ + skip_next=no; \ + strip_trailopt () \ + { \ + flg=`printf '%s\n' "$$flg" | sed "s/$$1.*$$//"`; \ + }; \ + for flg in $$sane_makeflags; do \ + test $$skip_next = yes && { skip_next=no; continue; }; \ + case $$flg in \ + *=*|--*) continue;; \ + -*I) strip_trailopt 'I'; skip_next=yes;; \ + -*I?*) strip_trailopt 'I';; \ + -*O) strip_trailopt 'O'; skip_next=yes;; \ + -*O?*) strip_trailopt 'O';; \ + -*l) strip_trailopt 'l'; skip_next=yes;; \ + -*l?*) strip_trailopt 'l';; \ + -[dEDm]) skip_next=yes;; \ + -[JT]) skip_next=yes;; \ + esac; \ + case $$flg in \ + *$$target_option*) has_opt=yes; break;; \ + esac; \ + done; \ + test $$has_opt = yes +am__make_dryrun = (target_option=n; $(am__make_running_with_option)) +am__make_keepgoing = (target_option=k; $(am__make_running_with_option)) +pkgdatadir = $(datadir)/@PACKAGE@ +pkgincludedir = $(includedir)/@PACKAGE@ +pkglibdir = $(libdir)/@PACKAGE@ +pkglibexecdir = $(libexecdir)/@PACKAGE@ +am__cd = CDPATH="$${ZSH_VERSION+.}$(PATH_SEPARATOR)" && cd +install_sh_DATA = $(install_sh) -c -m 644 +install_sh_PROGRAM = $(install_sh) -c +install_sh_SCRIPT = $(install_sh) -c +INSTALL_HEADER = $(INSTALL_DATA) +transform = $(program_transform_name) +NORMAL_INSTALL = : +PRE_INSTALL = : +POST_INSTALL = : +NORMAL_UNINSTALL = : +PRE_UNINSTALL = : +POST_UNINSTALL = : +bin_PROGRAMS = pm$(EXEEXT) +subdir = src/pm +ACLOCAL_M4 = $(top_srcdir)/aclocal.m4 +am__aclocal_m4_deps = $(top_srcdir)/configure.ac +am__configure_deps = $(am__aclocal_m4_deps) $(CONFIGURE_DEPENDENCIES) \ + $(ACLOCAL_M4) +DIST_COMMON = $(srcdir)/Makefile.am $(am__DIST_COMMON) +mkinstalldirs = $(install_sh) -d +CONFIG_HEADER = $(top_builddir)/config.h +CONFIG_CLEAN_FILES = +CONFIG_CLEAN_VPATH_FILES = +am__installdirs = "$(DESTDIR)$(bindir)" +PROGRAMS = $(bin_PROGRAMS) +am__dirstamp = $(am__leading_dot)dirstamp +am_pm_OBJECTS = pm.$(OBJEXT) ../utils/utils.$(OBJEXT) +pm_OBJECTS = $(am_pm_OBJECTS) +pm_DEPENDENCIES = +AM_V_P = $(am__v_P_@AM_V@) +am__v_P_ = $(am__v_P_@AM_DEFAULT_V@) +am__v_P_0 = false +am__v_P_1 = : +AM_V_GEN = $(am__v_GEN_@AM_V@) +am__v_GEN_ = $(am__v_GEN_@AM_DEFAULT_V@) +am__v_GEN_0 = @echo " GEN " $@; +am__v_GEN_1 = +AM_V_at = $(am__v_at_@AM_V@) +am__v_at_ = $(am__v_at_@AM_DEFAULT_V@) +am__v_at_0 = @ +am__v_at_1 = +DEFAULT_INCLUDES = -I.@am__isrc@ -I$(top_builddir) +depcomp = $(SHELL) $(top_srcdir)/depcomp +am__depfiles_maybe = depfiles +am__mv = mv -f +COMPILE = $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) \ + $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) +AM_V_CC = $(am__v_CC_@AM_V@) +am__v_CC_ = $(am__v_CC_@AM_DEFAULT_V@) +am__v_CC_0 = @echo " CC " $@; +am__v_CC_1 = +CCLD = $(CC) +LINK = $(CCLD) $(AM_CFLAGS) $(CFLAGS) $(AM_LDFLAGS) $(LDFLAGS) -o $@ +AM_V_CCLD = $(am__v_CCLD_@AM_V@) +am__v_CCLD_ = $(am__v_CCLD_@AM_DEFAULT_V@) +am__v_CCLD_0 = @echo " CCLD " $@; +am__v_CCLD_1 = +SOURCES = $(pm_SOURCES) +DIST_SOURCES = $(pm_SOURCES) +am__can_run_installinfo = \ + case $$AM_UPDATE_INFO_DIR in \ + n|no|NO) false;; \ + *) (install-info --version) >/dev/null 2>&1;; \ + esac +am__tagged_files = $(HEADERS) $(SOURCES) $(TAGS_FILES) $(LISP) +# Read a list of newline-separated strings from the standard input, +# and print each of them once, without duplicates. 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without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see + * <http://www.gnu.org/licenses/>. + * + * (c) Vincenzo Nicosia 2009-2017 -- <v.nicosia@qmul.ac.uk> + * + * This file is part of NetBunch, a package for complex network + * analysis and modelling. For more information please visit: + * + * http://www.complex-networks.net/ + * + * If you use this software, please add a reference to + * + * V. Latora, V. Nicosia, G. Russo + * "Complex Networks: Principles, Methods and Applications" + * Cambridge University Press (2017) + * ISBN: 9781107103184 + * + *********************************************************************** + * + * This program computes the leading eigenvector and the leading + * eigenvalue of a given graph, using the power method. The value of + * the leading eigenvalue is printed on the standard output, while + * the associated eigenvector is reported. + * + * + */ + + +#include <stdio.h> +#include <stdlib.h> +#include <string.h> +#include <math.h> + +#include "utils.h" + +#define MAX(x,y) ((x)>(y)? (x) : (y)) + + +void usage(char *argv[]){ + printf("********************************************************************\n" + "** **\n" + "** -*- pm -*- **\n" + "** **\n" + "** Compute the leading eigenvalue and the leading eigenvector **\n" + "** of a graph, with a relative error smaller than 'eps' using **\n" + "** the power method (Rayleigh iteration). **\n" + "** **\n" + "** The input file 'graph_in' is an edge-list: **\n" + "** **\n" + "** I_1 J_1 **\n" + "** I_2 J_2 **\n" + "** I_3 J_3 **\n" + "** ... ... **\n" + "** I_K J_K **\n" + "** **\n" + "** If 'graph_in' is equal to '-' (dash), read the file from **\n" + "** the standard input (STDIN). **\n" + "** **\n" + "** 'is_dir' should be set either to 0 (zero) if the graph is **\n" + "** undirected, or to 1 (one) if the graph is directed. **\n" + "** **\n" + "** The value of the leading eigenvalue is printed on the **\n" + "** standard output (STDOUT) while the associated eigenvector **\n" + "** is printed on the standard error (STDERR). **\n" + "** **\n" + "** **\n" + "********************************************************************\n" + " This is Free Software - You can use and distribute it under \n" + " the terms of the GNU General Public License, version 3 or later\n\n" + " Please visit http://www.complex-networks.net for more information\n\n" + " (c) Vincenzo Nicosia 2010-2017 (v.nicosia@qmul.ac.uk)\n" + "********************************************************************\n\n" + ); + + printf("Usage: %s <graph_in> <is_dir> <eps>\n", argv[0]); +} + + +/* Product of a matrix by a vector */ + +void matrix_vector_product(unsigned int *I, unsigned int *J, unsigned int K, + double *src, double *dst, unsigned int N){ + + int i; + + for(i=0; i<N; i ++){ + dst[i] = 0; + } + + for (i=0; i<K; i++){ + dst[I[i]] += src[J[i]]; + } + return; +} + +/* product between two row vectors (v1 * v2') */ + +double vector_vector_product(double *v1, double *v2, unsigned int N){ + + int i; + double sum = 0; + + for(i=0; i<N; i ++){ + sum += v1[i] * v2[i]; + } + return sum; +} + +/* compute the 2-norm of a vector */ + +double vector_norm(double *v,unsigned int N){ + + double norm = 0.0; + int i; + + for(i=0; i<N; i++){ + norm += v[i] * v[i]; + } + norm = sqrt(norm); + return norm; +} + + +double compute_relative_error(double *x_new, double *x_old, double lambda, unsigned int N){ + + double val, num, den; + int i; + + num = den = 0.0; + for (i=0; i<N; i++){ + val = x_new[i] - lambda * x_old [i]; + num += val * val; + den += x_new[i] * x_new[i]; + } + return sqrt(num / den); +} + + +int main(int argc, char *argv[]){ + + unsigned int *I, *J; + unsigned int N, K; + double *x1, *x2, *tmp; + double norm, lambda, err, eps; + int i, is_dir; + + FILE *filein, *fileout; + + if(argc < 4){ + usage(argv); + exit(1); + } + + + if (!strcmp(argv[1], "-")){ + /* take the input from STDIN */ + filein = stdin; + } + else { + filein = openfile_or_exit(argv[1], "r", 2); + } + is_dir = atoi(argv[2]); + eps = fabs(atof(argv[3])); + lambda = 0.0; + + + K = read_ij(filein, &I, &J); + if (! is_dir){ + K = 2*K; + I = realloc(I, K * sizeof(unsigned int)); + J = realloc(J, K * sizeof(unsigned int)); + for (i=K/2; i<K; i++){ + I[i] = J[i-K/2]; + J[i] = I[i-K/2]; + } + + } + N = 1 + MAX(find_max(I, K), find_max(J, K)); + + fclose(filein); + + x1 = malloc(N * sizeof(double)); + x2 = malloc(N * sizeof(double)); + + for(i=0; i<N; i++){ + x1[i] = 1; + x2[i] = 0; + } + + /* The following cycle is the actual implementation of the power + method (Rayleigh iteration) */ + err = 100*eps; + + while (err > eps) { + norm = vector_norm(x1, N); + for(i=0; i<N; i ++){ + x1[i] /= norm; + } + matrix_vector_product(I, J, K, x1, x2, N); + lambda = vector_vector_product(x2, x1, N); + /* compute the relative error */ + err = compute_relative_error(x2, x1, lambda, N); + tmp = x1; + x1 = x2; + x2 = tmp; + } + + fileout = stderr; + norm = vector_norm(x1, N); + + for(i=0; i<N; i++){ + fprintf(fileout, "%d %g\n", i, x1[i]/norm); + } + printf("%2.15g\n", lambda); + free(I); + free(J); + free(x1); + free(x2); +} |