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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 self.x * no.x + self.y * no.y + self.z * no.z def cross(self, no): return Points(self.y * no.z - self.z * no.y, self.z * no.x - self.x * no.z, self.x * no.y - self.y * no.x) 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))
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Class 2 - Find the Torsional Angle
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