Merge pull request #55 from code4tomorrow/Citrus716-vector3

Added vector3

Author: Citrus716

3_advanced/chapter13/examples/vector3.py

@@ -0,0 +1,68 @@
+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