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  • 计算几何多边形面积——swerc Gym

    /*
    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)<<'
    '; 
    }
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  • 原文地址:https://www.cnblogs.com/zsben991126/p/13122360.html
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