Algorithm
Problem Name: Python -
In this HackerRank Functions in PYTHON problem solution,
You are given four points A,B,C and D in a 3-dimensional Cartesian coordinate system. You are required to print the angle between the plane made by the points A,B,C and B,C,D in degrees(not radians). Let the angle be PHI. Cos(PHI) = (X.Y)/|X||Y| where X =AB * BC and Y = BC * CD Here, X.Y means the dot product of X and Y , and AB * BC means the cross product of vectors AB and BC . Also, AB = B- A .
Input Format
One line of input containing the space separated floating number values of the X,Y and Z coordinates of a point.
Output Format
Output the angle correct up to two decimal places.
Sample Input
0 4 5
1 7 6
0 5 9
1 7 2
Sample Output
8.19
Code Examples
#1 Code Example with Python Programming
Code -
Python Programming
import math
from math import sqrt
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 sqrt((self.x ** 2 + self.y ** 2 + self.z ** 2))