python代码 判断两个线段是否相交
时间: 2023-08-01 08:06:56 浏览: 565
以下是 Python 代码,用于判断两条线段是否相交:
```python
def is_intersecting(line1, line2):
# 获取两个线段的坐标
x1, y1 = line1[0]
x2, y2 = line1[1]
x3, y3 = line2[0]
x4, y4 = line2[1]
# 计算向量
u = (x2 - x1, y2 - y1)
v = (x4 - x3, y4 - y3)
w = (x1 - x3, y1 - y3)
# 计算向量积
cross_u_v = u[0] * v[1] - u[1] * v[0]
cross_u_w = u[0] * w[1] - u[1] * w[0]
cross_v_w = v[0] * w[1] - v[1] * w[0]
# 判断两线段是否相交
if cross_u_v == 0:
if cross_u_w != 0 or cross_v_w != 0:
return False
else:
if x1 < x2:
if x2 < x3 or x4 < x1:
return False
else:
if x1 < x3 or x4 < x2:
return False
return True
else:
s = cross_u_w / cross_u_v
t = cross_v_w / cross_u_v
if 0 <= s <= 1 and 0 <= t <= 1:
return True
else:
return False
```
该函数接受两个线段的坐标作为参数,返回一个布尔值,表示两条线段是否相交。
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