property_matrix<ActorSharedPtr,LayerSharedPtr,double> actor_cc_property_matrix(const MLNetworkSharedPtr& mnet) {
property_matrix<ActorSharedPtr,LayerSharedPtr,double> P(mnet->get_actors()->size(),mnet->get_layers()->size(),0);
for (ActorSharedPtr actor: *mnet->get_actors()) {
for (LayerSharedPtr layer: *mnet->get_layers()) {
NodeSharedPtr node = mnet->get_node(actor,layer);
if (!node) P.set_na(actor,layer);
else P.set(actor,layer,cc(mnet,node));
}
}
return P;
}
property_matrix<ActorSharedPtr,LayerSharedPtr,double> actor_degree_property_matrix(const MLNetworkSharedPtr& mnet, edge_mode mode) {
property_matrix<ActorSharedPtr,LayerSharedPtr,double> P(mnet->get_actors()->size(),mnet->get_layers()->size(),0);
for (ActorSharedPtr actor: *mnet->get_actors()) {
for (LayerSharedPtr layer: *mnet->get_layers()) {
NodeSharedPtr node = mnet->get_node(actor,layer);
if (!node) P.set_na(actor,layer);
else P.set(actor,layer,mnet->neighbors(node,mode)->size());
}
}
return P;
}
property_matrix<ActorSharedPtr,LayerSharedPtr,bool> actor_existence_property_matrix(const MLNetworkSharedPtr& mnet) {
property_matrix<ActorSharedPtr,LayerSharedPtr,bool> P(mnet->get_actors()->size(),mnet->get_layers()->size(),false);
for (LayerSharedPtr layer: *mnet->get_layers())
for (NodeSharedPtr node: *mnet->get_nodes(layer)) {
P.set(node->actor,layer,true);
}
return P;
}
// TODO document: does not consider self edges
property_matrix<dyad,LayerSharedPtr,bool> edge_existence_property_matrix(const MLNetworkSharedPtr& mnet) {
long n = mnet->get_actors()->size();
property_matrix<dyad,LayerSharedPtr,bool> P(n*(n-1)/2,mnet->get_layers()->size(),false);
for (LayerSharedPtr layer: *mnet->get_layers()) {
for (EdgeSharedPtr e: *mnet->get_edges(layer,layer)) {
dyad d(e->v1->actor,e->v2->actor);
P.set(d,layer,true);
}
}
return P;
}
hash_map<NodeSharedPtr,xyz_coordinates> circular(MLNetworkSharedPtr& mnet, double radius) {
hash_map<NodeSharedPtr,xyz_coordinates> pos;
double pi = 3.14159265358979323846;
if (mnet->get_actors()->size()==0) return pos;
double angle_offset = 360.0/mnet->get_actors()->size();
int i=0;
for (ActorSharedPtr a: *mnet->get_actors()) {
double degree = i*angle_offset;
double radians = degree*pi/180;
double x = std::cos(radians)*radius;
double y = std::sin(radians)*radius;
for (NodeSharedPtr n: *mnet->get_nodes(a)) {
pos[n].x = x;
pos[n].y = y;
pos[n].z = mnet->get_layers()->get_index(n->layer);
}
i++;
}
return pos;
}
// only works for multiplex networks (no inter-layer edges)
property_matrix<triad,LayerSharedPtr,bool> triangle_existence_property_matrix(const MLNetworkSharedPtr& mnet) {
long n = mnet->get_actors()->size();
property_matrix<triad,LayerSharedPtr,bool> P(n*(n-1)*(n-2)/6,mnet->get_layers()->size(),false);
for (LayerSharedPtr layer: *mnet->get_layers()) {
hash_set<NodeSharedPtr> processed1;
for (NodeSharedPtr n1: *mnet->get_nodes(layer)) {
processed1.insert(n1);
hash_set<NodeSharedPtr> processed2;
for (NodeSharedPtr n2: *mnet->neighbors(n1,INOUT)) {
if (processed1.count(n2)>0) continue;
processed2.insert(n2);
for (NodeSharedPtr n3: *mnet->neighbors(n2,INOUT)) {
if (processed1.count(n3)>0) continue;
if (processed2.count(n3)>0) continue;
if (mnet->get_edge(n3,n1)) {
triad t(n1->actor,n2->actor,n3->actor);
P.set(t,layer,true);
}
}
}
}
}
return P;
}
hashtable<NodeSharedPtr,coordinates> multiforce(MLNetworkSharedPtr mnet, double width, double length, int iterations) {
hashtable<NodeSharedPtr,coordinates> pos;
hashtable<NodeSharedPtr,coordinates> disp;
double t = std::sqrt(width*width+length*length);
double area = width*length;
double k = std::sqrt(area/mnet->get_actors().size());
for (ActorSharedPtr a: mnet->get_actors()) {
double y = drand()*length-length/2;
double x = drand()*width-width/2;
for (NodeSharedPtr n: mnet->get_nodes(a)) {
pos[n].y = x;
pos[n].x = y;
pos[n].z = mnet->get_layers().get_index(n->layer->id);
}
}
for (int i=0; i<iterations; i++) {
// calculate repulsive forces
for (LayerSharedPtr l: mnet->get_layers()) {
for (NodeSharedPtr v: mnet->get_nodes(l)) {
disp[v].x = 0;
disp[v].y = 0;
for (NodeSharedPtr u: mnet->get_nodes(l)) {
if (u == v) continue;
coordinates Delta;
Delta.x = pos[v].x - pos[u].x;
Delta.y = pos[v].y - pos[u].y;
double DeltaNorm = std::sqrt(Delta.x*Delta.x+Delta.y*Delta.y);
disp[v].x = disp[v].x + Delta.x/DeltaNorm*fr(DeltaNorm,k);
disp[v].y = disp[v].y + Delta.y/DeltaNorm*fr(DeltaNorm,k);
}
}
}
// calculate attractive forces inside each layer for ((u, v) ∈ E) do
for (LayerSharedPtr l: mnet->get_layers()) {
for (EdgeSharedPtr e: mnet->get_edges(l,l)) {
NodeSharedPtr v = e->v1;
NodeSharedPtr u = e->v2;
coordinates Delta;
Delta.x = pos[v].x - pos[u].x;
Delta.y = pos[v].y - pos[u].y;
double DeltaNorm = std::sqrt(Delta.x*Delta.x+Delta.y*Delta.y);
disp[v].x = disp[v].x - Delta.x/DeltaNorm*fain(DeltaNorm,k);
disp[v].y = disp[v].y - Delta.y/DeltaNorm*fain(DeltaNorm,k);
disp[u].x = disp[u].x + Delta.x/DeltaNorm*fain(DeltaNorm,k);
disp[u].y = disp[u].y + Delta.y/DeltaNorm*fain(DeltaNorm,k);
}
}
// calculate attractive forces across layers
for (ActorSharedPtr a: mnet->get_actors()) {
for (NodeSharedPtr v: mnet->get_nodes(a)) {
for (NodeSharedPtr u: mnet->get_nodes(a)) {
if (v == u) continue;
coordinates Delta;
Delta.x = pos[v].x - pos[u].x;
Delta.y = pos[v].y - pos[u].y;
double DeltaNorm = std::sqrt(Delta.x*Delta.x+Delta.y*Delta.y);
disp[v].x = disp[v].x - Delta.x/DeltaNorm*fainter(DeltaNorm,k);
disp[v].y = disp[v].y - Delta.y/DeltaNorm*fainter(DeltaNorm,k);
disp[u].x = disp[u].x + Delta.x/DeltaNorm*fainter(DeltaNorm,k);
disp[u].y = disp[u].y + Delta.y/DeltaNorm*fainter(DeltaNorm,k);
}
}
}
// assign new positions
for (NodeSharedPtr v: mnet->get_nodes()) {
double dispNorm = std::sqrt(disp[v].x*disp[v].x+disp[v].y*disp[v].y);
pos[v].x = pos[v].x + (disp[v].x/dispNorm);//*std::min(dispNorm,t);
pos[v].y = pos[v].y + (disp[v].y/dispNorm);//*std::min(dispNorm,t);
//pos[v].x = std::min(width/2, std::max(-width/2, pos[v].x));
//pos[v].y = std::min(length/2, std::max(-length/2, pos[v].y));
}
// reduce the temperature
t -= (t-1)/(iterations+1);
}
// DEBUG PRINT
double min_x = 100000000;
double min_y = 100000000;
double max_x = -100000000;
double max_y = -100000000;
for (NodeSharedPtr v: mnet->get_nodes()) {
if (pos[v].x < min_x) min_x = pos[v].x;
if (pos[v].y < min_y) min_y = pos[v].y;
if (pos[v].x > max_x) max_x = pos[v].x;
if (pos[v].y > max_y) max_y = pos[v].y;
}
std::cout << "plot(c(),xlim=c(" << min_x << "," << max_x << "),ylim=c(" << min_y << "," << max_y << "))" << std::endl;
//std::cout << "legend(4,4,0:" << (iterations-1) << ",fill=1:" << (iterations) << ")" << std::endl;
for (NodeSharedPtr n: mnet->get_nodes()) {
std::cout << "points(" << pos[n].x << "," << pos[n].y << ")" << std::endl;
}
for (EdgeSharedPtr e: mnet->get_edges()) {
std::cout << "lines(c(" << pos[e->v1].x << "," << pos[e->v2].x << "),c(" << pos[e->v1].y << "," << pos[e->v2].y << "))" << std::endl;
}
//
return pos;
}