POJ 2451 Uyuw's Concert(半平面交nlgn)

时间:2023-03-09 13:31:29
POJ 2451 Uyuw's Concert(半平面交nlgn)
//#pragma comment(linker, "/STACK:16777216") //for c++ Compiler
#include <stdio.h>
#include <iostream>
#include <cstring>
#include <cmath>
#include <stack>
#include <queue>
#include <vector>
#include <algorithm>
#define ll long long
#define Max(a,b) (((a) > (b)) ? (a) : (b))
#define Min(a,b) (((a) < (b)) ? (a) : (b))
#define Abs(x) (((x) > 0) ? (x) : (-(x)))
#define eps 1e-11
#define zero(a) fabs(a)<eps
using namespace std; const int INF = 0x3f3f3f3f;
const int N = ; struct Point{
double x,y;
}p[N*];
struct Segment{
Point s,e;
double angle;
void get_angle(){angle=atan2(e.y-s.y,e.x-s.x);}
}seg[N];
int m;
//叉积为正说明,p2在p0-p1的左侧
double xmul(Point p0,Point p1,Point p2){
return (p1.x-p0.x)*(p2.y-p0.y)-(p2.x-p0.x)*(p1.y-p0.y);
}
Point Get_Intersect(Segment s1,Segment s2){
double u=xmul(s1.s,s1.e,s2.s),v=xmul(s1.e,s1.s,s2.e);
Point t;
t.x=(s2.s.x*v+s2.e.x*u)/(u+v);t.y=(s2.s.y*v+s2.e.y*u)/(u+v);
return t;
}
bool cmp(Segment s1,Segment s2){
//先按极角排序
if(s1.angle>s2.angle) return true;
//极角相等,内侧的在前
else if(zero(s1.angle-s2.angle)&&xmul(s2.s,s2.e,s1.e)>-eps) return true;
return false;
}
void HalfPlaneIntersect(Segment seg[],int n){
sort(seg,seg+n,cmp);
int tmp=;
for(int i=;i<n;i++)
if(!zero(seg[i].angle-seg[tmp-].angle))
seg[tmp++]=seg[i];
n=tmp;
Segment deq[N];
deq[]=seg[];deq[]=seg[];
int head=,tail=;
for(int i=;i<n;i++){
while(head<tail&&xmul(seg[i].s,seg[i].e,Get_Intersect(deq[tail],deq[tail-]))<-eps) tail--;
while(head<tail&&xmul(seg[i].s,seg[i].e,Get_Intersect(deq[head],deq[head+]))<-eps) head++;
deq[++tail]=seg[i];
}
while(head<tail&&xmul(deq[head].s,deq[head].e,Get_Intersect(deq[tail],deq[tail-]))<-eps) tail--;
while(head<tail&&xmul(deq[tail].s,deq[tail].e,Get_Intersect(deq[head],deq[head+]))<-eps) head++;
if(head==tail) return;
m=;
for(int i=head;i<tail;i++)
p[m++]=Get_Intersect(deq[i],deq[i+]);
if(tail>head+)
p[m++]=Get_Intersect(deq[head],deq[tail]);
}
double Get_area(Point p[],int &n){
double area=;
for(int i=;i<n-;i++)
area+=xmul(p[],p[i],p[i+]);
return fabs(area)/2.0;
}
int main(){
int n;
while(scanf("%d",&n)!=EOF){
seg[].s.x=;seg[].s.y=;seg[].e.x=;seg[].e.y=;seg[].get_angle();
seg[].s.x=;seg[].s.y=;seg[].e.x=;seg[].e.y=;seg[].get_angle();
seg[].s.x=;seg[].s.y=;seg[].e.x=;seg[].e.y=;seg[].get_angle();
seg[].s.x=;seg[].s.y=;seg[].e.x=;seg[].e.y=;seg[].get_angle();
for(int i=;i<n;i++){
scanf("%lf%lf%lf%lf",&seg[i+].s.x,&seg[i+].s.y,&seg[i+].e.x,&seg[i+].e.y);
seg[i+].get_angle();
}
HalfPlaneIntersect(seg,n+);
printf("%.1f\n",Get_area(p,m));
}
return ;
}