HDU 2857 Mirror and Light(几何)
简单求反射点。。。这种几何题,写成程序怎么这么容易错啊。4Y。。。中间各种小错误。。
#include <stdio.h>
#include <string.h>
#define eps 0.00000001
double xmi,ymi,xx,yy;
void line(double x1,double y1,double x2,double y2,double xs,double ys)//求(xs,ys)在直线上的对称点
{
double k1,k2,b1,b2;
if(y2 == y1)
{
xmi = xs;
ymi = 2*y1 - ys;
}
else if(x2 == x1)
{
xmi = 2*x1 - xs;
ymi = ys;
}
else
{
k1 = (y2-y1)/(x2-x1);
k2 = (x1-x2)/(y2-y1);
b1 = y2 - k1*x2;
b2 = ys - k2*xs;
xmi = 2*(b1-b2)/(k2-k1) - xs;//求对称点的x坐标
ymi = k2*(xmi- xs) + ys;//带入垂直直线求y
}
}
void inst(double xs,double ys,double xe,double ye,double x1,double y1,double x2,double y2)//求两条直线的交点。
{
double k1,k2,b1,b2;//两条直线不存在平行的情况
if(xe == xs)
{
k2 = (y2-y1)/(x2-x1);
b2 = y2 - k2*x2;
xx = xe;
yy = k2*xx + b2;
return ;
}
if(x2 == x1)
{
k1 = (ye-ys)/(xe-xs);
b1 = ys - k1*xs;
xx = x2;
yy = k1*xx + b1;
return ;
}
k1 = (ye-ys)/(xe-xs);
k2 = (y2-y1)/(x2-x1);
b1 = ys - k1*xs;
b2 = y2 - k2*x2;
xx = (b1-b2)/(k2-k1);
yy = k1*xx + b1;
}
int main()
{
double x1,y1,x2,y2,xs,ys,xe,ye;
int t;
scanf("%d",&t);
while(t--)
{
scanf("%lf%lf%lf%lf%lf%lf%lf%lf",&x1,&y1,&x2,&y2,&xs,&ys,&xe,&ye);
line(x1,y1,x2,y2,xs,ys);
inst(xmi,ymi,xe,ye,x1,y1,x2,y2);
printf("%.3lf %.3lf\n",xx+eps,yy+eps);
}
return 0;
}
/*
查错的数据
2
1 1
0 0
0 1
-1 0
1 1
0 0
0 1
1 2
*/

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