• 计算几何板子 (点 )


    #include <iostream>
    #include <stdio.h>
    #include <string.h>
    #include <algorithm>
    #include <queue>
    #include <map>
    #include <vector>
    #include <set>
    #include <string>
    #include <math.h>
    #define ll long long
    using namespace std;
    const int maxn=1e6+10;
    const double pi=acos(-1.0);
    const double D_MAX=1e100;
    const double D_MIN=-1e100;
    const double eps=1e-9;
    int sgn(double x){ if(fabs(x) < eps)return 0;  if(x >0) return 1; return -1; }
    int dcmp(double x, double y){ if(fabs(x - y) < eps) return 0; if(x > y) return 1;return -1;}
    void usehanshu(){double x;}//floor(x)向下取整函数ceil(x)向上取整函数round(x)四舍五入函数
    struct Point  { double x,y; Point(double x=0,double y=0) { x=x;y=y; };   };
    struct Segment{ Point a,b;  Segment(Point x,Point y)     { a=x;b=y; };   };
    struct Line   { Point a,b;  Line(Point x,Point y)        { a=x;b=y; };   };
    typedef Point Vector;
    Vector operator + (Vector A, Vector B){ return Vector(A.x+B.x, A.y+B.y); } // 向量相加
    Vector operator - (Point  A, Point  B){ return Vector(A.x-B.x, A.y-B.y); } // 向量生成
    double operator * (Vector A, Vector B){ return A.x*B.x-A.y*B.y;          } // 点积
    double operator ^ (Vector A, Vector B){ return A.x*B.y-A.y*B.x;          } // 叉积
    double Dot(Vector A, Vector B)   { return A.x*B.x + A.y*B.y; }  // 点积
    double Cross(Vector A, Vector B) { return A.x*B.y-A.y*B.x;   }  // 叉积
    double Length(Vector A) { return sqrt(Dot(A, A));}           // 向量长度
    double Angle(Vector A, Vector B){ return acos(Dot(A, B)/Length(A)/Length(B));}  // 角度
    double Area2(Point A, Point B, Point C) { return Cross(B-A, C-A); }  // 四边形面积
    Vector Rotate(Vector A, double rad){ return Vector(A.x*cos(rad)-A.y*sin(rad), A.x*sin(rad)+A.y*cos(rad));}//rad为弧度 且为逆时针旋转的角
    Vector Normal(Vector A)            {double L = Length(A);return Vector(-A.y/L, A.x/L);}//向量A左转90°的单位法向量
    bool ToLeftTest(Point a, Point b, Point c){return Cross(b - a, c - b) > 0;}
    bool xx(Line A,point a){if( sgn( Cross(A.a-a,A.b-a) )==0 ) return 1;return 0;}  // 直线和点
    void XX(Line A,Line B)  // 直线和直线的情况
    {
        Point a=A.a; Point b=A.b;Point c=B.a; Point d=B.b;
        double A1=b.y-a.y,B1=-(b.x-a.x),C1=b.y*a.x-b.x*a.y;
        double A2=d.y-c.y,B2=-(d.x-c.x),C2=d.y*c.x-d.x*c.y;
        double k=A1*B2-A2*B1;
        if(fabs(k)<eps)
        {
            if( fabs( C2*A1-C1*A2)<eps && fabs(B1*C2-C1*B2)<eps ) printf("LINE
    ");
            else                   printf("NONE
    ");
        }
        else
        {
                double x=-(B1*C2-C1*B2)*1.000000000/k;
                double y=(A1*C2-C1*A2)*1.00000000/k;
                printf("POINT %.2f %.2f
    ",x,y);
        }
    }
    
    int main()
    {
        int T;scanf("%d",&T);
        printf("INTERSECTING LINES OUTPUT
    ");
        while(T--)
        {
            Point a,b,c,d;
            scanf("%lf %lf %lf %lf",&a.x,&a.y,&b.x,&b.y);
            scanf("%lf %lf %lf %lf",&c.x,&c.y,&d.x,&d.y);
            XX(Line(a,b),Line(c,d));
        }
        printf("END OF OUTPUT
    ");
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/Andromeda-Galaxy/p/10451643.html
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