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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