python 给定两个线段的端点坐标 判断两条线段是否相交
时间: 2023-08-01 09:06:56 浏览: 160
以下是 Python 代码,用于判断两条线段是否相交:
```python
def is_intersecting(line1, line2):
# 获取两个线段的端点坐标
x1, y1 = line1[0]
x2, y2 = line1[1]
x3, y3 = line2[0]
x4, y4 = line2[1]
# 判断两线段是否相交
if max(x1, x2) < min(x3, x4) or max(x3, x4) < min(x1, x2) or max(y1, y2) < min(y3, y4) or max(y3, y4) < min(y1, y2):
return False
else:
# 计算向量积
cross_u_v = (x2 - x1) * (y4 - y3) - (y2 - y1) * (x4 - x3)
cross_w_u = (x3 - x1) * (y2 - y1) - (y3 - y1) * (x2 - x1)
cross_w_v = (x3 - x1) * (y4 - y3) - (y3 - y1) * (x4 - x3)
cross_z_u = (x4 - x1) * (y2 - y1) - (y4 - y1) * (x2 - x1)
cross_z_v = (x4 - x3) * (y2 - y3) - (y4 - y3) * (x2 - x3)
# 判断两线段是否相交
if cross_u_v == 0 and cross_w_u == 0 and cross_w_v == 0 and cross_z_u == 0 and cross_z_v == 0:
return True
elif cross_u_v == 0:
return False
else:
s = cross_w_v / cross_u_v
t = cross_z_v / cross_u_v
if 0 <= s <= 1 and 0 <= t <= 1:
return True
else:
return False
```
该函数接受两条线段的端点坐标作为参数,返回一个布尔值,表示两条线段是否相交。
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