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logit_load.cpp
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logit_load.cpp
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#include "global_var.h"
#include "basic_util.h"
#include "load_data.h"
#include "save_data.h"
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <map>
#include <queue>
#include <cmath>
using namespace std;
void origin_to_node(int o){
queue<int> Q;
int n, i, l, t;
double c;
for(i=1; i<=metadata.n_node; i++)
nodes[i].r = INFINITE;
nodes[o].r = 0.0;
Q.push(o);
while(!Q.empty()){
n = Q.front();
Q.pop();
for(i=0; i<nodes[n].n_adj; i++){
l = nodes[n].adj_list[i];
c = links[l].cost + nodes[n].r;
t = links[l].term_node;
if(t >= metadata.first_node && c < nodes[t].r){
nodes[t].r = c;
Q.push(t);
}
}
}
}
void destination_to_node(int d){
queue<int> Q;
int n, i, l, t;
double c;
for(i=1; i<=metadata.n_node; i++)
nodes[i].s = INFINITE;
nodes[d].s = 0.0;
Q.push(d);
while(!Q.empty()){
n = Q.front();
Q.pop();
for(i=0; i<nodes[n].n_rev; i++){
l = nodes[n].rev_list[i];
c = links[l].cost + nodes[n].s;
t = links[l].init_node;
if(t >= metadata.first_node && c < nodes[t].s){
nodes[t].s = c;
Q.push(t);
}
}
}
}
void dial_direction(){
int i, j, k, O = -1, D = -1, s, t, l, n;
double Dr, Ds, Sw, Sx;
pair<double, int> order[MAX_NODE];
// freopen("debug\\out.txt","w",stdout);
// printf("start dial_direction()\n");
for(i=0; i<metadata.n_link; i++)
links[i].direction = -links[i].flow;
for(i=0; i<metadata.n_pair; i++){
// printf("\t%5d/%5d", i+1, metadata.n_pair);
if(pairs[i].trip == 0.0)
continue;
if (O != pairs[i].origin){
O = pairs[i].origin;
origin_to_node(O);
}
D = pairs[i].destination;
destination_to_node(D);
// printf("\nforward %lf backward %lf\n", nodes[D].r, nodes[O].s);
// printf("O %d D %d\n", O, D);
// compute L(i,j)
for(j=0; j<metadata.n_link; j++){
s = links[j].init_node;
t = links[j].term_node;
Dr = nodes[t].r - nodes[s].r;
Ds = nodes[t].s - nodes[s].s;
// printf(" D_r(%d,%d) %lf D_s(%d,%d) %lf ", s, t, Dr, s, t, Ds);
if(Dr>0.0 && Ds<0.0)
links[j].L = exp(metadata.theta*(Dr - links[j].cost));
else
links[j].L = 0.0;
// printf(" L(%d,%d) %lf\n ", s, t, links[j].L);
links[j].w = 0.0;
links[j].x = 0.0;
}
// forward pass
// printf("forward pass\n");
for(j=1; j<=metadata.n_node; j++)
order[j-1] = pair<double, int>(nodes[j].r,j);
sort(order, order+metadata.n_node);
// printf("O %d \n", order[0].second);
// when j == O
for(k=0; k<nodes[O].n_adj; k++){
l = nodes[O].adj_list[k];
links[l].w = links[l].L;
// printf(" w(%d,%d) %lf ", links[l].init_node, links[l].term_node, links[l].w);
}
// when j != O
for(j=1; j<metadata.n_node; j++){
n = order[j].second;
Sw = 0.0;
for(k=0; k<nodes[n].n_rev; k++){
l = nodes[n].rev_list[k];
Sw += links[l].w;
}
// printf("\n node %d Sum w %lf \n", n, Sw);
for(k=0; k<nodes[n].n_adj; k++){
l = nodes[n].adj_list[k];
links[l].w = links[l].L*Sw;
// printf(" w(%d,%d) %lf ", links[l].init_node, links[l].term_node, links[l].w);
}
}
// backward pass
// printf("backward pass\n");
for(j=1; j<=metadata.n_node; j++)
order[j-1] = pair<double, int>(nodes[j].s,j);
sort(order, order+metadata.n_node);
// printf(" D %d\n", order[0].second);
Sw = 0.0;
// when j == D
for(k=0; k<nodes[D].n_rev; k++){
l = nodes[D].rev_list[k];
Sw += links[l].w;
}
// printf(" node %d Sum w %lf Sw==0.0? %d\n", D, Sw, Sw==0.0);
for(k=0; k<nodes[D].n_rev; k++){
l = nodes[D].rev_list[k];
links[l].x = (Sw==0.0? 0:pairs[i].trip*links[l].w/Sw);
// printf(" x(%d,%d) %lf\n", links[l].init_node, links[l].term_node, links[l].x);
}
// when j != D
for(j=1; j<metadata.n_node; j++){
n = order[j].second;
Sx = 0.0;
Sw = 0.0;
for(k=0; k<nodes[n].n_adj; k++){
l = nodes[n].adj_list[k];
Sx += links[l].x;
}
for(k=0; k<nodes[n].n_rev; k++){
l = nodes[n].rev_list[k];
Sw += links[l].w;
}
// printf(" node %d Sum w %lf Sw==0.0? %d\n", D, Sw, Sw==0.0);
for(k=0; k<nodes[n].n_rev; k++){
l = nodes[n].rev_list[k];
links[l].x = (Sw==0.0? 0:Sx*links[l].w/Sw);
// printf(" x(%d,%d) %lf\n", links[l].init_node, links[l].term_node, links[l].x);
}
}
// update direction
// printf("update direction\n");
for(j=0; j<metadata.n_link; j++)
links[j].direction += links[j].x;
}
}
void logit_load(){
dial_direction();
// for(int i = 0; i<metadata.n_link; i++)
// printf("d[%2d] = %lf\n", i+1, links[i].direction);
update_link_flow(1.0);
// for(int i = 0; i<metadata.n_link; i++)
// printf("f[%2d] = %lf\n", i+1, links[i].flow);
}