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计算几何多边形面积——swerc Gym - 102501F

时间:2020-06-14 01:20:57      阅读:82      评论:0      收藏:0      [点我收藏+]

标签:span   mes   color   namespace   c++   back   poi   计算几何   多边形面积   

/*
直接求多边形面积 
*/
#include<bits/stdc++.h>
using namespace std;
typedef double db;
const db eps=1e-6;
const db pi=acos(-1);
int sign(db k){
    if (k>eps) return 1; else if (k<-eps) return -1; return 0;
}
int cmp(db k1,db k2){return sign(k1-k2);}
int inmid(db k1,db k2,db k3){return sign(k1-k3)*sign(k2-k3)<=0;}// k3 在 [k1,k2] 内 
struct point{
    db x,y;
    point operator + (const point &k1) const{return (point){k1.x+x,k1.y+y};}
    point operator - (const point &k1) const{return (point){x-k1.x,y-k1.y};}
    point operator * (db k1) const{return (point){x*k1,y*k1};}
    point operator / (db k1) const{return (point){x/k1,y/k1};}
    int operator == (const point &k1) const{return cmp(x,k1.x)==0&&cmp(y,k1.y)==0;}
    point turn(db k1){return (point){x*cos(k1)-y*sin(k1),x*sin(k1)+y*cos(k1)};}
    point turn90(){return (point){-y,x};}
    bool operator < (const point k1) const{
        int a=cmp(x,k1.x);
        if (a==-1) return 1; else if (a==1) return 0; else return cmp(y,k1.y)==-1;
    }
    db abs(){return sqrt(x*x+y*y);}
    db abs2(){return x*x+y*y;}
    db dis(point k1){return ((*this)-k1).abs();}
    point unit(){db w=abs(); return (point){x/w,y/w};}
};
int inmid(point k1,point k2,point k3){return inmid(k1.x,k2.x,k3.x)&&inmid(k1.y,k2.y,k3.y);}
db cross(point k1,point k2){return k1.x*k2.y-k1.y*k2.x;}
db dot(point k1,point k2){return k1.x*k2.x+k1.y*k2.y;}

db area(vector<point> A){
    db ans=0;
    for(int i=0;i<A.size();i++)    
        ans+=cross(A[i],A[(i+1)%A.size()]);
    return fabs(ans*0.5);
}

vector<point>A;
db ans;

int  main(){
    int n;cin>>n;
    while(n--){
        A.clear();
        int p;cin>>p;
        while(p--){
            db x,y;
            cin>>x>>y;
            A.push_back((point){x,y});
        }
        ans+=area(A);
    }
    cout<<floor(ans)<<\n; 
}

 

计算几何多边形面积——swerc Gym - 102501F

标签:span   mes   color   namespace   c++   back   poi   计算几何   多边形面积   

原文地址:https://www.cnblogs.com/zsben991126/p/13122360.html

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