rajpranesh
diff --git a/‎convex-hull/convex-hull.py
Lines changed: 70 additions & 6 deletions b/‎convex-hull/convex-hull.py
Lines changed: 70 additions & 6 deletions
@@ -1,31 +1,94 @@
 from collections import namedtuple
-import numpy as np
 import matplotlib.pyplot as plt
+import random
 
 
 Point = namedtuple('Point', 'x y')
 
 
 class ConvexHull(object):
-    points = []
+    _points = []
+    _hull_points = []
 
     def __init__(self):
         pass
 
     def add(self, point):
-        self.points.append(point)
+        self._points.append(point)
 
-    def display(self):
-        x = [p.x for p in self.points]
-        y = [p.y for p in self.points]
+    def _get_orientation(self, origin, p1, p2):
+        '''
+        Returns the orientation of the Point p1 with regards to Point p2 using origin.
+        :param p1:
+        :param p2:
+        :return: integer
+        '''
+        difference = (
+                    ((p2.x - origin.x) * (p1.y - origin.y))
+                    - ((p1.x - origin.x) * (p2.y - origin.y))
+                )
+
+        return difference
+
+    def compute_hull(self):
+        '''
+        Computes the convex hull and returns the points on the hull.
+        :return:
+        '''
+        points = sorted(self._points, key=lambda temp_point: temp_point.x)
+
+        start = points[0]
+        point = points[0]
+        self._hull_points.append(start)
+
+        far_point = None
+        while far_point is not start:
+
+            p1 = None
+            for p in points:
+                if p is point:
+                    continue
+                else:
+                    p1 = p
+                    break
+
+            far_point = p1
+
+            for p2 in points:
+                if p2 is point or p2 is p1:
+                    continue
+                else:
+                    direction = self._get_orientation(point, far_point, p2)
+                    if direction > 0:
+                        far_point = p2
 
+            self._hull_points.append(far_point)
+            point = far_point
+
+    def get_hull_points(self):
+        if self._points and not self._hull_points:
+            self.compute_hull()
+
+        return self._hull_points
+
+    def display(self):
+        x = [p.x for p in self._points]
+        y = [p.y for p in self._points]
         plt.plot(x, y, marker='D', linestyle='None')
+
+        hx = [p.x for p in self._hull_points]
+        hy = [p.y for p in self._hull_points]
+        plt.plot(hx, hy)
+
         plt.title('Convex Hull')
         plt.show()
 
 
 def main():
     ch = ConvexHull()
+    # for _ in range(10):
+    #     ch.add(Point(random.randint(0, 100), random.randint(0, 100)))
+
     ch.add(Point(1, 4))
     ch.add(Point(3, 12))
     ch.add(Point(5, 7))
@@ -39,6 +102,7 @@ def main():
     ch.add(Point(8, 16))
     ch.add(Point(2, 6))
 
+    ch.compute_hull()
     ch.display()