Python中两个n维向量之间的角度 [英] Angles between two n-dimensional vectors in Python

问题描述

我需要确定Python中两个n维向量之间的角度.例如，输入可以是两个列表，如下所示:[1,2,3,4]和[6,7,8,9].

I need to determine the angle(s) between two n-dimensional vectors in Python. For example, the input can be two lists like the following: [1,2,3,4] and [6,7,8,9].

推荐答案

import math

def dotproduct(v1, v2):
  return sum((a*b) for a, b in zip(v1, v2))

def length(v):
  return math.sqrt(dotproduct(v, v))

def angle(v1, v2):
  return math.acos(dotproduct(v1, v2) / (length(v1) * length(v2)))

注意:当向量的方向相同或相反时，此操作将失败.正确的实现在这里: https://stackoverflow.com/a/13849249/71522

Note: this will fail when the vectors have either the same or the opposite direction. The correct implementation is here: https://stackoverflow.com/a/13849249/71522

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