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+/*
+ * vim: ts=4 sw=4 et tw=0 wm=0
+ *
+ * libcola - A library providing force-directed network layout using the
+ * stress-majorization method subject to separation constraints.
+ *
+ * Copyright (C) 2006-2008 Monash University
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2.1 of the License, or (at your option) any later version.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this library in the file LICENSE; if not,
+ * write to the Free Software Foundation, Inc., 59 Temple Place,
+ * Suite 330, Boston, MA 02111-1307 USA
+ *
+*/
+
+// generates a random graph with a power-law distribution of node degrees
+// the algorithm is pretty much the Barabasi-Albert model but with an extra step
+// so that I can guarantee the number of nodes in the graph.
+// We begin with an initial chain of m nodes.
+// Then, we add new nodes, connecting them to existing nodes v with probability
+// degree(v)/(sum all degrees)
+// We perform an extra step, looking for disconnected nodes, connecting them
+// to other nodes again with probability dependent on degree
+#include<iostream>
+#include<vector>
+#include <cmath>
+#include <time.h>
+#include <valarray>
+
+#include "graphlayouttest.h"
+
+void scale_free(const unsigned n = 50) {
+ const unsigned m = 3; // begin with a chain of m nodes
+ const double g=0.08; // edge density, every time we add a node we add 1+g*rand(0-1) edges
+ // connecting them to existing nodes with probability based on degree
+ unsigned d[n];
+ double defaultEdgeLength=100;
+ vector<Edge> es;
+ CompoundConstraints cx,cy;
+ for(unsigned i=0;i<n;i++) {
+ d[i]=0;
+ }
+ unsigned sumdegree=0;
+ for(unsigned i=1;i<m;i++) {
+ es.push_back(make_pair(i-1,i));
+ d[i]++;d[i-1]++;
+ sumdegree+=2;
+ }
+ srand(3);
+ for(unsigned i=2;i<n;i++) {
+ for(unsigned j=0;j<i;j++) {
+ double p=(double)d[j]/(double)sumdegree;
+ double r=(double)rand()/(double)RAND_MAX;
+ if(r*p>g) {
+ es.push_back(make_pair(j,i));
+ d[j]++;d[i]++;
+ sumdegree+=2;
+ }
+ }
+ }
+ for(unsigned i=0;i<n;i++) {
+ if(d[i]==0) {
+ double maxP=0;
+ unsigned end=0;
+ for(unsigned j=0;j<n;j++) {
+ if(j==i) continue;
+ double p=(double)d[j]/(double)sumdegree;
+ double r=(double)rand()/(double)RAND_MAX;
+ if(r*p>maxP) {
+ maxP=r*p;
+ end=j;
+ }
+ }
+ if(end>i) {
+ es.push_back(make_pair(i,end));
+ } else {
+ es.push_back(make_pair(end,i));
+ }
+ d[end]++;d[i]++;
+ sumdegree+=2;
+ }
+ }
+ valarray<double> eweights(es.size());
+ sort(d,d+n);
+ unsigned degree=0,ctr=0;
+ printf("degree distribution:\n");
+ for(unsigned i=0;i<n;i++) {
+ if(degree!=d[i]) {
+ if(degree!=0) printf("%d,%d\n",degree,ctr);
+ degree=d[i];
+ ctr=0;
+ }
+ ctr++;
+ }
+ printf("%d,%d\n",degree,ctr);
+ for(unsigned i=0;i<es.size();i++) {
+ unsigned a=es[i].first, b=es[i].second;
+ eweights[i]=1;
+ cy.push_back(new SeparationConstraint(a,b,defaultEdgeLength/3));
+ }
+
+ cout << "|V|="<<n<<endl;
+ double width=1000;
+ double height=1000;
+ vector<pair<double,double> > startpos(n);
+ for(unsigned i=0;i<n;i++) {
+ double x=getRand(width), y=getRand(height);
+ startpos[i]=make_pair(x,y);
+ }
+ const char *f="scalefree";
+ //run_test(startpos,es,defaultEdgeLength,cx,cy,CG,false,f,"cg");
+ //run_test(startpos,es,defaultEdgeLength,cx,cy,IP,false,f,"ip");
+ //run_test(startpos,es,defaultEdgeLength,cx,cy,UGP,false,f,"ugp");
+ //run_test(startpos,es,defaultEdgeLength,cx,cy,SGP,false,f,"sgp");
+ //run_test(startpos,es,defaultEdgeLength,cx,cy,IP,true,f,"cip");
+ //run_test(startpos,es,defaultEdgeLength,cx,cy,UGP,true,f,"cugp");
+ run_test(startpos,es,defaultEdgeLength,cx,cy,SGP,true,f,"csgp");
+}
+int main() {
+ for(unsigned i=1;i<2;i++) {
+ scale_free(i*50);
+ }
+ return 0;
+}
+// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=4:softtabstop=4:textwidth=99 :