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TheAlgorithms-Python/data_structures/avl.py at all-permutations · windNight/TheAlgorithms-Python · GitHub
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avl.py
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"""
An AVL tree
"""
from
__future__
import
print_function
class
Node
:
def
__init__
(
self
,
label
):
self
.
label
=
label
self
.
_parent
=
None
self
.
_left
=
None
self
.
_right
=
None
self
.
height
=
0
@
property
def
right
(
self
):
return
self
.
_right
@
right
.
setter
def
right
(
self
,
node
):
if
node
is
not
None
:
node
.
_parent
=
self
self
.
_right
=
node
@
property
def
left
(
self
):
return
self
.
_left
@
left
.
setter
def
left
(
self
,
node
):
if
node
is
not
None
:
node
.
_parent
=
self
self
.
_left
=
node
@
property
def
parent
(
self
):
return
self
.
_parent
@
parent
.
setter
def
parent
(
self
,
node
):
if
node
is
not
None
:
self
.
_parent
=
node
self
.
height
=
self
.
parent
.
height
+
1
else
:
self
.
height
=
0
class
AVL
:
def
__init__
(
self
):
self
.
root
=
None
self
.
size
=
0
def
insert
(
self
,
value
):
node
=
Node
(
value
)
if
self
.
root
is
None
:
self
.
root
=
node
self
.
root
.
height
=
0
self
.
size
=
1
else
:
# Same as Binary Tree
dad_node
=
None
curr_node
=
self
.
root
while
True
:
if
curr_node
is
not
None
:
dad_node
=
curr_node
if
node
.
label
<
curr_node
.
label
:
curr_node
=
curr_node
.
left
else
:
curr_node
=
curr_node
.
right
else
:
node
.
height
=
dad_node
.
height
dad_node
.
height
+=
1
if
node
.
label
<
dad_node
.
label
:
dad_node
.
left
=
node
else
:
dad_node
.
right
=
node
self
.
rebalance
(
node
)
self
.
size
+=
1
break
def
rebalance
(
self
,
node
):
n
=
node
while
n
is
not
None
:
height_right
=
n
.
height
height_left
=
n
.
height
if
n
.
right
is
not
None
:
height_right
=
n
.
right
.
height
if
n
.
left
is
not
None
:
height_left
=
n
.
left
.
height
if
abs
(
height_left
-
height_right
)
>
1
:
if
height_left
>
height_right
:
left_child
=
n
.
left
if
left_child
is
not
None
:
h_right
=
(
left_child
.
right
.
height
if
(
left_child
.
right
is
not
None
)
else
0
)
h_left
=
(
left_child
.
left
.
height
if
(
left_child
.
left
is
not
None
)
else
0
)
if
(
h_left
>
h_right
):
self
.
rotate_left
(
n
)
break
else
:
self
.
double_rotate_right
(
n
)
break
else
:
right_child
=
n
.
right
if
right_child
is
not
None
:
h_right
=
(
right_child
.
right
.
height
if
(
right_child
.
right
is
not
None
)
else
0
)
h_left
=
(
right_child
.
left
.
height
if
(
right_child
.
left
is
not
None
)
else
0
)
if
(
h_left
>
h_right
):
self
.
double_rotate_left
(
n
)
break
else
:
self
.
rotate_right
(
n
)
break
n
=
n
.
parent
def
rotate_left
(
self
,
node
):
aux
=
node
.
parent
.
label
node
.
parent
.
label
=
node
.
label
node
.
parent
.
right
=
Node
(
aux
)
node
.
parent
.
right
.
height
=
node
.
parent
.
height
+
1
node
.
parent
.
left
=
node
.
right
def
rotate_right
(
self
,
node
):
aux
=
node
.
parent
.
label
node
.
parent
.
label
=
node
.
label
node
.
parent
.
left
=
Node
(
aux
)
node
.
parent
.
left
.
height
=
node
.
parent
.
height
+
1
node
.
parent
.
right
=
node
.
right
def
double_rotate_left
(
self
,
node
):
self
.
rotate_right
(
node
.
getRight
().
getRight
())
self
.
rotate_left
(
node
)
def
double_rotate_right
(
self
,
node
):
self
.
rotate_left
(
node
.
getLeft
().
getLeft
())
self
.
rotate_right
(
node
)
def
empty
(
self
):
if
self
.
root
is
None
:
return
True
return
False
def
preShow
(
self
,
curr_node
):
if
curr_node
is
not
None
:
self
.
preShow
(
curr_node
.
left
)
print
(
curr_node
.
label
,
end
=
" "
)
self
.
preShow
(
curr_node
.
right
)
def
preorder
(
self
,
curr_node
):
if
curr_node
is
not
None
:
self
.
preShow
(
curr_node
.
left
)
self
.
preShow
(
curr_node
.
right
)
print
(
curr_node
.
label
,
end
=
" "
)
def
getRoot
(
self
):
return
self
.
root
t
=
AVL
()
t
.
insert
(
1
)
t
.
insert
(
2
)
t
.
insert
(
3
)
# t.preShow(t.root)
# print("\n")
# t.insert(4)
# t.insert(5)
# t.preShow(t.root)
# t.preorden(t.root)
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