poj 1269 Intersecting Lines(判断两条直线三种状态)
来源:互联网 发布:linux安全加固手册 编辑:程序博客网 时间:2024/05/16 14:55
Intersecting Lines
Time Limit: 1000MS Memory Limit: 10000KTotal Submissions: 16792 Accepted: 7233
Description
We all know that a pair of distinct points on a plane defines a line and that a pair of lines on a plane will intersect in one of three ways: 1) no intersection because they are parallel, 2) intersect in a line because they are on top of one another (i.e. they are the same line), 3) intersect in a point. In this problem you will use your algebraic knowledge to create a program that determines how and where two lines intersect.
Your program will repeatedly read in four points that define two lines in the x-y plane and determine how and where the lines intersect. All numbers required by this problem will be reasonable, say between -1000 and 1000.
Your program will repeatedly read in four points that define two lines in the x-y plane and determine how and where the lines intersect. All numbers required by this problem will be reasonable, say between -1000 and 1000.
Input
The first line contains an integer N between 1 and 10 describing how many pairs of lines are represented. The next N lines will each contain eight integers. These integers represent the coordinates of four points on the plane in the order x1y1x2y2x3y3x4y4. Thus each of these input lines represents two lines on the plane: the line through (x1,y1) and (x2,y2) and the line through (x3,y3) and (x4,y4). The point (x1,y1) is always distinct from (x2,y2). Likewise with (x3,y3) and (x4,y4).
Output
There should be N+2 lines of output. The first line of output should read INTERSECTING LINES OUTPUT. There will then be one line of output for each pair of planar lines represented by a line of input, describing how the lines intersect: none, line, or point. If the intersection is a point then your program should output the x and y coordinates of the point, correct to two decimal places. The final line of output should read "END OF OUTPUT".
Sample Input
50 0 4 4 0 4 4 05 0 7 6 1 0 2 35 0 7 6 3 -6 4 -32 0 2 27 1 5 18 50 3 4 0 1 2 2 5
Sample Output
INTERSECTING LINES OUTPUTPOINT 2.00 2.00NONELINEPOINT 2.00 5.00POINT 1.07 2.20END OF OUTPUT
分析:这个提示真的坑,代码注释自己看吧。
代码如下:
#include<iostream>#include<cstdio>#include<cstring>#include<cmath>#include<cstdlib>#include<algorithm>using namespace std;int main(){int n;double x1,x2,x3,x4,y1,y2,y3,y4;scanf("%d",&n);printf("INTERSECTING LINES OUTPUT\n");while(n--){scanf("%lf%lf%lf%lf%lf%lf%lf%lf",&x1,&y1,&x2,&y2,&x3,&y3,&x4,&y4);if((x4-x3)*(y2-y1)==(y4-y3)*(x2-x1)) //斜率判断 {if((x2-x1)*(y3-y1)==(y2-y1)*(x3-x1))// 叉乘判断是否重合 (取一条线上俩点加另外一条直线上一个点) printf("LINE\n");elseprintf("NONE\n");}else{double A1=y2-y1;double B1=x1-x2;double C1=x2*y1-x1*y2;double A2=y4-y3;double B2=x3-x4;double C2=x4*y3-x3*y4;double x0=((C1*B2)-(C2*B1))/((A2*B1)-(A1*B2));double y0=(A2*x0+C2)/(-B2);//y0=((A1*C2)-(A2*C1))/((A2*B1)-(A1*B2));printf("POINT %.2lf %.2lf\n",x0,y0);//注意double类型,在g++中会出错,提交用c++; }}printf("END OF OUTPUT\n");return 0;}
阅读全文
0 0
- poj 1269 Intersecting Lines(判断两条直线三种状态)
- poj 1269 Intersecting Lines (判断两条直线的状态)
- POJ 1269 Intersecting Lines(判断两条直线关系)
- poj 1269 Intersecting Lines 【判断两条直线的关系】
- POJ 1269 Intersecting Lines(判断两直线关系)
- poj Intersecting Lines 1269 (数学几何 判断两条直线是否相交)
- POJ 1269 Intersecting Lines(判断两条直线的位置关系)
- POJ 1269 Intersecting Lines(判断两条线段关系)
- Intersecting Lines(判断两条直线的位置,模板)
- poj 1269 Intersecting Lines (叉积 判断两直线位置关系)
- POJ 1269 Intersecting Lines 判断直线相交
- POJ 1269Intersecting Lines 直线相交判断
- POJ 1269 Intersecting Lines 判断直线间的状态(平行、重合、相交于一点)
- POJ 1269 Intersecting Lines(判断两直线的位置关系)
- poj 1269 Intersecting Lines(两直线交点)
- POJ 1269 Intersecting Lines(判断直线相交)
- POJ 1269 Intersecting Lines(直线相交的判断)
- POJ 1269 Intersecting Lines(简单判断直线关系)
- Eclipse Maven 编译错误 Dynamic Web Module 3.0 requires Java 1.6 or newer 解决方案
- 如何通过用户故事地图和快速估算来做release plan
- poi表报下载 前端加后端及工具类 傻瓜式粘贴就可以用
- 深入分析类与对象--封装性
- iframe的使用场景有哪几个?
- poj 1269 Intersecting Lines(判断两条直线三种状态)
- 实现路由,表格展示,猜数,行程
- python之GUI图形界面
- Python 序列化 保存变量的值
- Linux 操作学习
- spring获取连接点参数的两种方法
- C++的构造函数为什么不能是虚函数
- 查看系统版本
- 改变某行颜色