Find_The_Torsional_Angle.py

import math

class Points(object):
    def __init__(self,x,y,z):
        self.x = x
        self.y = y
        self.z = z
    def __sub__(self, no):
        return Points(self.x - no.x,self.y - no.y,self.z - no.z)
    def dot(self,no):
        return (sum((self.x * no.x,self.y * no.y,self.z * no.z)))
    def cross(self,no):
        c = [self.y*no.z - self.z*no.y,
             self.z*no.x - self.x*no.z,
             self.x*no.y - self.y*no.x]
        return Points(*c)
    def absolute(self):
        return (pow((self.x ** 2 + self.y ** 2 + self.z ** 2), 0.5))


if __name__ == '__main__':
    points = list()
    for i in range(4):
        a = list(map(float, input().split()))
        points.append(a)

    a, b, c, d = Points(*points[0]), Points(*points[1]), Points(*points[2]), Points(*points[3])
    x = (b - a).cross(c - b)
    y = (c - b).cross(d - c)
    angle = math.acos(x.dot(y) / (x.absolute() * y.absolute()))

    print("%.2f" % math.degrees(angle))