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Python | Sympy line.angle_inter method

原文:https://www.geesforgeks.org/python-sympy-line-angle_inter-method/

In Sympy, the function angle_between() is used to return the non-reflex angle formed by rays emanating from the origin with directions the same as the direction vectors of the linear entities.

Syntax: Line.angle_between(l2)

 Parameters: 
  l1: LinearEntity
  l2: LinearEntity

Returns:
 angle: angle in radians

注释:从向量 v1 和 v2 的点积可知:dot(v1, v2) = |v1|*|v2|*cos(A) 其中 A 是两个向量之间形成的角度。我们可以得到两条线的方向向量,并使用上述公式很容易地找到两条线之间的角度。

示例#1:

# import sympy and Point, Line, pi
from sympy import Point, Line, pi

# using Line() method
l1 = Line((0, 0), (1, 0))
l2 = Line((0, 0), (1, 1))

# using angle_between() method
rad = l1.angle_between(l2)

print(rad)

输出:

pi/4

例 2:

# import sympy and Point, Line, pi
from sympy import Point, Line, pi

# using Line() method
l1 = Line((0, 0), (1, 0))
l3 = Line((1, 1), (0, 0))

# using angle_between() method
rad = l1.angle_between(l3)

print(rad)

输出:

3*pi/4


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