algorithm-in-python/dataStructure/intervalTree.py

168 lines
4.3 KiB
Python

''' mbinary
#########################################################################
# File : intervalTree.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2018-11-18 10:48
# Description:
#########################################################################
'''
from random import randint, shuffle
from redBlackTree import redBlackTree
from functools import total_ordering
@total_ordering
class node:
def __init__(self, low, high, left=None, right=None, isBlack=False):
self.val = low # self.val is the low
self.high = high
self.max = high
self.left = left
self.right = right
self.parent = None
self.isBlack = isBlack
def __lt__(self, nd):
return self.val < nd.val
def __eq__(self, nd):
return nd is not None and self.val == nd.val
def setChild(self, nd, isLeft=True):
if isLeft:
self.left = nd
else:
self.right = nd
if nd is not None:
nd.parent = self
def getChild(self, isLeft):
if isLeft:
return self.left
else:
return self.right
def __bool__(self):
return self.val is not None
def __str__(self):
color = 'B' if self.isBlack else 'R'
return f'{color}[{self.val},{self.high}]-{self.max}'
def __repr__(self):
return f'intervalNode({self.val},{self.high},{self.max},isBlack={self.isBlack})'
def overlap(self, low, high):
return self.val <= high and self.high >= low
def setMax(self):
l = 0 if self.left is None else self.left.max
r = 0 if self.right is None else self.right.max
self.max = max(self.high, l, r)
return self.max
class intervalTree(redBlackTree):
def search(self, low, high):
nd = self.root
while nd is not None and not nd.overlap(low, high):
if nd.left is not None and nd.left.max >= low:
nd = nd.left
else:
nd = nd.right
return nd
def insert(self, nd):
super(intervalTree, self).insert(nd)
while nd is not None:
nd.setMax()
nd = nd.parent
def delete(self, val):
nd = self.find(val)
if nd is not None:
nd.max = 0
tmp = nd.parent
while tmp is not None:
tmp.setMax()
tmp = tmp.parent
super(intervalTree, self).delete(val)
def rotate(self, prt, chd):
'''rotate prt, and return new prt, namyly the original chd'''
super(intervalTree, self).rotate(prt, chd)
prt.setMax()
chd.setMax()
def copyNode(self, src, des):
des.val = src.val
des.high = src.high
des.setMax()
def genNum(n=10, upper=10):
nums = {}
for i in range(n):
while 1:
d = randint(0, 100)
if d not in nums:
nums[d] = (d, randint(d, d+upper))
break
return nums.values()
def buildTree(n=10, nums=None, visitor=None):
#if nums is None or nums ==[]: nums = genNum(n)
tree = intervalTree()
print(f'build a red-black tree using {nums}')
for i in nums:
tree.insert(node(*i))
if visitor:
visitor(tree, i)
return tree, nums
def testInsert(nums=None):
def visitor(t, val):
print('inserting', val)
print(t)
tree, nums = buildTree(visitor=visitor, nums=nums)
print('-'*5 + 'in-order visit' + '-'*5)
for i, j in enumerate(tree.sort()):
print(f'{i+1}: {j}')
return tree
def testSuc(nums=None):
tree, nums = buildTree(nums=nums)
for i in tree.sort():
print(f'{i}\'s suc is {tree.getSuccessor(i)}')
def testDelete(nums=None):
tree, nums = buildTree(nums=nums)
print(tree)
for i in nums:
print(f'deleting {i}')
tree.delete(i[0])
print(tree)
return tree
if __name__ == '__main__':
lst = [(0, 3), (5, 8), (6, 10), (26, 26), (25, 30),
(8, 9), (19, 20), (15, 23), (16, 21), (17, 19)]
#lst = None
# testSuc(lst)
tree = testInsert(lst)
#tree,_= buildTree(lst)
while 1:
a = int(input('low:'))
b = int(input('high:'))
res = tree.search(a, b)
print(res)