Added vector3

Author: Citrus716

3_advanced/chapter13/examples/vector3.py

@@ -0,0 +1,65 @@
+class Vector:
+	"""
+	Constructor
+ 
+	self: a reference to the object we are creating
+	vals: a list of integers which are the contents of our vector
+	"""
+	def __init__(self, vals):
+		self.vals = vals
+		# print("Assigned values ", vals, " to vector.")
+ 
+	"""
+	String Function
+ 
+	Converts the object to a string in readable format for programmers
+	"""
+	def __str__(self):
+		return str(self.vals)
+ 
+	def __pow__(self, power):
+		return Vector([i**power for i in self.vals])
+ 
+	# Calculates Euclidean norm 
+	def norm(self):
+		return sum((self**2).vals)**0.5
+ 
+	#__lt__:  implements the less than operator (<)
+	def __lt__(self, other):
+		return self.norm() < other.norm()
+ 
+	#__gt__: implements the greater than operator (>)
+	def __gt__(self, other):
+		return self.norm() > other.norm()
+ 
+	#__le__: implements the less than equal to operator (<=)
+	def __le__(self, other):
+		return self.norm() <= other.norm()
+ 
+	#__ge__: implements the greater than equal to operator (>=)
+	def __ge__(self, other):
+		return self.norm() >= other.norm()
+ 
+	#__eq__: implements the equals operator (==)
+	def __eq__(self, other):
+		return self.norm() == other.norm()
+ 
+	#__ne__:implements the not equals operator (!=)
+	def __ne__(self, other):
+		return self.norm() != other.norm()
+ 
+vec = Vector([2, 3, 2])
+vec2 = Vector([3, 4, 5])
+print(vec < vec2) # True
+print(vec > vec2) # False
+ 
+print(vec <= vec2) # True
+print(vec >= vec2) # False
+print(vec <= vec) # True
+print(vec >= vec)  # True
+ 
+print(vec == vec2)  # False
+print(vec == vec) # True
+ 
+print(vec != vec2) # True
+print(vec != vec) # False