Reputation: 43
I have written a python code to implement. While writing the code I referred completely to the pseudo code I had. To test the class I created I wrote a little test code "app.py". It takes the number of nodes from the user and randomly generates an AVL tree as follows:-
from avl import *
import random
n = input("Enter number of nodes: ")
l = random.sample(range(-10000,10001),n)
root = node(l[0])
for x in l:
root = root.insert(x)
print root.key
print "Your tree is\n"
root.inorder()
k = input("Enter integer to insert: ")
root.insert(k)
root.inorder()
k = input("Enter integer to delete: ")
root.delete(k)
root.inorder()
the following is the AVL tree implementation saved in avl.py
class node:
def __init__(self,data):
self.left = None
self.right = None
self.key = data
self.height = 1
def calheight(self):
if not self.left:
if not self.right:
return 1
else:
return 1 + self.right.height
else:
if not self.right:
return 1 + self.left.height
else:
return max(self.left.height,self.right.height)+1
def rrotate(self):
p=self.left
self.left=p.right
p.right=self
self=p
self.right.calheight()
self.calheight()
return self
def lrotate(self):
p=self.right
self.right=p.left
p.left=self
self=p
self.left.calheight()
self.calheight()
return self
def dlrotate(self):
self.right = self.right.rrotate()
self = self.lrotate()
return self
def drrotate(self):
self.left = self.left.lrotate()
self = self.rrotate()
return self
def bal(self):
if not self.left:
if not self.right:
return 0
else:
return -(self.right.height)
else:
if not self.right:
return self.left.height
else:
return (self.left.height-self.right.height)
def insert(self,data):
if (data < self.key):
if not self.left:
self.left = node(data)
else:
self.left = self.left.insert(data)
if(self.bal() == 2):
print self.height,"\t",self.left.bal(),"\t",self.bal(),"\t",self.key
if(self.left.bal() == 1):
self = self.rrotate()
else:
self = self.drrotate()
elif (data > self.key):
if not self.right:
self.right = node(data)
else:
self.right = self.right.insert(data)
if(self.bal() == -2):
print self.height,"\t",self.right.bal(),"\t",self.bal(),"\t",self.key
if(self.right.bal() == -1):
self = self.lrotate()
else:
self = self.dlrotate()
else:
print "Key Already Exists"
self.height=self.calheight()
return self
def delete(self,data):
if (data < self.key):
self.left = self.left.delete(data)
elif (data > self.key):
self.right = self.right.delete(data)
else:
if not self.left:
if not self.right:
temp = self
self = None
else:
temp = self.right
self = temp
del temp
elif not self.right:
if not self.left:
temp = self
self = None
else:
temp = self.left
self = temp
del temp
else:
temp = self.right
while temp.left:
temp = temp.left
self.key = temp.key
self.right = self.right.delete(temp.key)
if self:
self.height=self.calheight()
if(self.bal() > 1):
if(self.left.bal() > 0):
self = self.rrotate()
else:
self = self.drrotate()
elif(self.bal() < -1):
if(self.right.bal() < 0):
self = self.lrotate()
else:
self = self.dlrotate()
return self
def inorder(self):
if self.left:
self.left.inorder()
print self.height,"\t",self.bal(),"\t",self.key
if self.right:
self.right.inorder()
The outputs of app.py seemed fine at the beginning. But for repeatedly running app.py with higher values of n (over fifty) I began to notice that often some nodes had a balance factor of absolute value strictly greater than 1 or even 2. During one run it even gave an error because it tried to left-rotate a node with no right child.
The problem most probably lies in the insertion function. I have repeatedly checked my balancing conditions and rotation algorithms. They all seem fine theoretically. I'd be glad if someone could find the error.
Upvotes: 4
Views: 6113
Reputation: 2990
self
is immutable in Python, when you return from a method, local variable is released and will not really change self
like a pointer in c. You have to come up with another way to handle rotation. For example, https://github.com/pgrafov/python-avl-tree/blob/master/pyavltree.py handle a rotation by inferring a parent node.
See also: Is it safe to replace a self object by another object of the same type in a method?
Upvotes: 1