• POJ 2826 An Easy Problem?!


    题意:给你两条线段,求所能接的雨水的面积

    #include <iostream>
    #include <cstring>
    #include <string>
    #include <cmath>
    #include <algorithm>
    #include <cstdio>
    using namespace std;
    #define eps 1e-8
    int sig(double x)
    {
        if(x<-eps)return -1;
        if(x>eps)return 1;
        return 0;
    }
    struct point
    {
        double x,y;
    };
    point operator-(point a,point b)
    {
        point ret;
        ret.x=a.x-b.x;
        ret.y=a.y-b.y;
        return ret;
    }
    struct line
    {
        point p,q;
    } L1,L2;
    // 点o在直线L上
    int inside(point o,line L)
    {
        double xl=min(L.p.x,L.q.x);
        double xr=max(L.p.x,L.q.x);
        double yl=min(L.p.y,L.q.y);
        double yr=max(L.p.y,L.q.y);
        if(sig(o.x-xl)>=0&&sig(xr-o.x)>=0&&sig(o.y-yl)>=0&&sig(yr-o.y)>=0)
            return 1;
        else
            return 0;
    }
    //交点
    point Intersect(line u,line v)
    {
        point ret=u.p;
        double t=((u.p.x-v.p.x)*(v.p.y-v.q.y)-(u.p.y-v.p.y)*(v.p.x-v.q.x))/((u.p.x-u.q.x)*(v.p.y-v.q.y)-(u.p.y-u.q.y)*(v.p.x-v.q.x));
        ret.x+=(u.q.x-u.p.x)*t;
        ret.y+=(u.q.y-u.p.y)*t;
        return ret;
    }
    // 计算三角形面积
    double coun(point a,point b,point o)
    {
        double ans;
        a=a-o;
        b=b-o;
        if(sig(a.x*b.y-a.y*b.x)==0)return 0;
        if(a.y<eps||b.y<eps)return 0;
        point tem;
        if(a.y<b.y)
        {
            tem=a;
            a=b;
            b=tem;
        }
        if(sig(a.x)==0)
            ans=fabs(b.x*b.y)*0.5;
        else
        {
            double k=a.y/a.x;
            double x=b.y/k;
            if(sig((x-b.x)*(a.x-b.x))<=0)
                ans=0;
            else
                ans=fabs(b.x-x)*b.y*0.5;
        }
        return ans;
    }
    double solve()
    {
        double ans;
        point o;
        o=Intersect(L1,L2);
        if(inside(o,L1)&&inside(o,L2))
        {
            ans=coun(L1.p,L2.p,o);
            ans=max(ans,coun(L1.p,L2.q,o));
            ans=max(ans,coun(L1.q,L2.p,o));
            ans=max(ans,coun(L1.q,L2.q,o));
            return ans;
        }
        return 0;
    }
    int main()
    {
        int i,j,tt;
        double ans;
        while(scanf("%d",&tt)!=EOF)
        {
            while(tt--)
            {
                scanf("%lf%lf%lf%lf",&L1.p.x,&L1.p.y,&L1.q.x,&L1.q.y);
                scanf("%lf%lf%lf%lf",&L2.p.x,&L2.p.y,&L2.q.x,&L2.q.y);
                printf("%.2f
    ",solve());
            }
        }
    }
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  • 原文地址:https://www.cnblogs.com/zuferj115/p/5412288.html
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