标题: 红黑树python实现~ [打印本页] 作者: 表咯痴 时间: 2015-4-15 09:44 标题: 红黑树python实现~ #!/usr/bin/env python) N( u+ [% H' p' P: ^
# -*- coding : utf-8 -*- 4 H. s5 I- O% a% c7 k. K$ S c* Y1 _ m6 }7 s
import os7 e" f+ Z( Q- B+ x5 p. J
import random* \* r3 ]7 J' E3 J r* K u
/ D5 K4 T9 \3 ]9 ZRED = 09 U8 K8 h' K5 V3 Q1 N
BLACK = 1' p5 a F2 u @' d' f: ]
+ t+ t, f4 B8 u( w# l+ T: A
class Vector(object): 0 x2 d3 D9 a9 C. t def __init__(self,x=None,y=None): 8 }7 ]1 m1 C4 j! d( N4 A self.x=x; j# {1 }& D# w
self.y=y9 ]' R6 Z+ M0 S$ i7 \
) ~$ _1 j2 K! V9 K3 K
class Node(object):0 W8 ?, J; B6 x% c0 f5 }$ h0 t0 E4 ^+ p
"""docstring for Node"""7 ?% q! X+ g j/ w
def __init__(self,data=None,color=RED,left=None,right=None,parent=None): % H- e: b/ ^7 n& m0 \ self.data = data : p: r3 h3 c4 o# S* w& c; h self.color = color x8 K; H# r# H/ }: ~+ \3 E self.left = left $ O. L- p" u" ^7 B self.right = right# B7 b6 Y+ p! p; ]6 X# T/ }
self.parent = parent 3 k+ c( G! z M. W) ^# d/ p/ Q 0 j" Y9 q& `1 A& Jclass RBtree(object):* p' L5 V" I0 j+ ?& l0 b: |
def __init__(self): 2 H+ |2 J3 F) O- R4 r4 Y: h" u self.root=None 1 @' V3 g& q$ w8 _" [6 n* @) }- T self.size=0 9 g! }% c2 p5 S9 x6 f ) a k2 [/ K4 T def rb_rotate_left(self,node): - z% Z+ O# j' E! g right=node.right( F" E! L2 h5 {7 n, h0 c
/ z$ _8 N* C: f% l6 |( J& i% v6 Z& y& i node.right=right.left6 b. C9 p: l& u+ @" B1 V+ A
if node.right is not None: 9 N( R" u* H5 C8 j s; G( x right.left.parent=node" K: e0 { v" w$ J% L7 ?: c# G6 {" d
8 B( O- l1 ] A! {' F; g
right.left=node) v8 A7 [4 G- T( {
right.parent=node.parent3 s. ?. V3 @$ [2 Z
* O+ Q1 U6 `; R8 G
if right.parent is None: , n: q& e' y9 Y3 v+ U2 S& L4 z# Z$ q 0 g9 @+ `; E7 \) p self.root=right 6 h. U0 U, v W, E else:* J H! d2 I9 k( G4 a
if node==node.parent.right: % E& w c0 w. o& Y1 x" m node.parent.right=right4 ^+ D+ n- S) B7 e: W
else:# ^9 A8 ^' n# ^
node.parent.left=right( R) E- r! i; S1 U3 [
node.parent =right ! _+ G2 {: @2 N& Z: O7 b2 U* j4 y) O1 Z/ u/ X6 j
; m2 A/ o; T* S' L" B- |2 A! j1 r# } def rb_rotate_right(self,node): # i. O k2 [( d1 u7 Y left=node.left 3 L; y, m7 k! z node.left=left.right 5 g% L) g) X( \: s% j3 x9 L 5 ^9 t) `- V t; J- z' Q" d. y if node.left is not None:" R- i9 Z* L& h# `
left.right.parent=node & g- a8 A" d/ N w) I7 ] m3 @5 h {4 i- o* C
left.right=node" x; e/ d+ S" a
left.parent=node.parent - x! X/ N9 s- _1 K- M! z5 t J# V+ z9 b/ G
if left.parent is None:* ~. L/ v/ I0 p' l4 X; h4 A4 r& S
self.root=left 2 ?+ ?) X/ c: X* U# P" z; v4 l else:3 K* Y6 r! U, S# k
if node==node.parent.right: 3 f& L3 ?/ V M, ] node.parent.right=left1 e* o0 ~; H7 o; m% S
else:. \% r- W, h) \: V8 c: l7 @1 F0 l
node.parent.left=left - a7 u Y; t: y, P j node.parent=left% z# d2 ?9 H/ g9 ^1 u* Z% F! Q7 |
5 m- Y. O9 a/ j: r& ]
def rb_insert_rebalance(self,node):% n7 l3 u, H& Y6 `/ c: a
parent=node.parent! d! D: Z8 X3 n) \& f$ `6 Q+ r
while parent and parent.color==RED:+ B2 N3 C+ w: o
gparent = parent.parent ( u1 K* b; r+ z( l, H$ r0 B if parent==gparent.left:3 ?+ w5 N* J' o0 @- u* }
uncle=gparent.right 2 N M& q% q- `+ a if uncle and uncle.color==RED:, u: B8 I2 F# ?; K2 L
uncle.color=BLACK( u- B& @8 P" X3 l/ y7 J
parent.color=BLACK, t# ]8 l t" A+ E4 T3 w; ~
gparent.color=RED 0 x9 Y8 y; Y/ s node=gparent : i: L7 \& p0 x {( O. a- h+ Y else:1 L. i3 D$ m7 b- z0 a( l0 E9 `3 h
if parent.right==node: 6 w3 Q1 Y/ w8 G& u. I self.rb_rotate_left(parent) ; `+ x+ K9 [5 D% q" u tmp=parent3 `& t6 k. D9 o
parent=node7 _$ O4 F, y# e5 G
node=tmp0 X1 ~, z4 [! E
parent.color=BLACK - E _$ f7 [+ v- S7 q6 r' y8 c( a gparent.color=RED4 r/ N9 k& _3 j+ [
8 {0 A4 r8 r# q self.rb_rotate_right(gparent) ! K6 f* i" V( m3 T/ L; ^( j7 `1 |
if uncle: _ h( M9 c$ _' b$ Z2 o6 Q if uncle.right:4 z9 P, O+ _ y% m/ W4 t
node=uncle.right" k/ v! F4 U4 M( {; d! L
else: : `" D8 R) T1 C9 ?; S8 q( A, o1 ? uncle=gparent.left 6 s5 ?* l- M/ m! a3 ? C if uncle and uncle.color==RED:* `5 }( V {1 n# p1 o
uncle.color=BLACK/ _& q0 f" |6 ~# l; m
parent.color=BLACK ' V {% P& I" u3 r- Y z8 V2 a gparent.color=RED$ d' V$ I& U$ b. a% S
node=gparent L* E" Z* a T. X else:& C$ d: i( T- I* d+ B7 I
if parent.left==node: E; H$ X- p- |, |; r self.rb_rotate_right(parent)- v& V9 N# ~, r f9 Q8 M/ Z# ? L
tmp=parent % h/ @2 b8 s! @0 v5 o; M* }& f8 ?, n parent=node 8 C5 `( q/ i" y3 c9 C3 N3 z! K node=tmp4 n; ^5 N) \- m0 ^/ G" E- Y
parent.color=BLACK i4 t3 w( I% I8 s gparent.color=RED ! P) d) }: S, P self.rb_rotate_left(gparent)3 l8 O4 w5 S* h- E) ^& F
5 t1 w2 f/ H; `1 }& H* @% ^- Z
if uncle: & D& j4 l; _/ F if uncle.left:5 ?, F, V: P4 l6 U
node=uncle.left: n( i7 V% ]( z/ k
parent=node.parent- t- p; n# g `/ r5 a
0 [2 j, d/ C* F
; _6 r+ r9 s# A self.root.color=BLACK) s" q2 [1 L" w% Q* C
: n) G, ] A) { k! g3 J 1 I" P- i) |' {. ^5 } def rb_search_auxiliary(self,node): 9 O" |" @6 E. R1 _! }: G tmp=self.root ) L% ?9 N! T$ e parent=None ~; T& D* @+ y, C- H/ q0 n
while tmp is not None: a2 b: M2 P s% d" ?- @ parent=tmp , s, B' M z- L0 g+ W! w% ^ cmp=self.cmp(node,tmp); `0 Q0 h1 F) z3 [' c; v' e9 u
if cmp<0:% m; R" _( ~0 Y6 K! E! c* j" c2 M
tmp=tmp.left ( X' t( V" Q& g; }5 V! R else: 6 t) L. e# U4 B; w* @4 o if cmp>0: $ T9 i' Q9 j6 M9 Y- ~! v% j7 f tmp=tmp.right ) a4 ]* K5 I4 l ], Y* k else: : E; O! N8 h8 L$ N: [3 P6 y return tmp,parent 7 n) e N) \" w& m6 ]0 p* B2 J7 `
return None,parent. x' K1 Y1 D2 y( b$ z7 O
; d6 J( Z- q+ X8 f
def rb_insert(self,data):; E" P( f' S, J! ~; }. g1 j
tmp=None+ j9 N ? Y, f6 M, V$ p& [; W: B
node=Node(data) $ ?- u7 Z% ^& b* ?2 [% Y tmp,parent=self.rb_search_auxiliary(node) ' H( ]* ~ A+ I: S: o( b6 Q5 m! s) }- K, s5 _
if tmp is not None:$ S+ L7 g+ o) l) ^4 j; A, E
return ! A- t8 m! g4 M2 u8 @; A- N' v* h3 A
# | |5 F; j6 N9 [$ D& b& s node.parent =parent 7 G% j! Z/ _$ q! [- Q node.left=node.right=None ( y+ W0 v" |$ ^+ |9 r1 T- L+ [# H node.color=RED 4 R' T. X F; @0 V* y, m( E2 I7 } ]" ^8 z: p: Y/ n
if parent is not None:( a# @3 U+ w; N( `
7 e& J, ]# l+ P if self.cmp(parent,node)>0: r' c6 R! G2 X
parent.left=node 1 @* x4 V; u+ K) n4 |' n1 R6 K7 ] else: & ]; ?2 L5 ?5 k/ i0 K; ^ parent.right=node ; c- v5 C1 x5 W2 L+ I else:: n" M9 B. [5 F* ~4 u* S. j! x/ i
self.root=node ' ]9 L7 j9 E5 N4 J- C6 G6 }7 f- z return self.rb_insert_rebalance(node) 5 x" ^, I c: u5 V# s; E( Z3 m6 _* l X+ H% S
def rb_erase_rebalance(self,node,parent): b4 ]; A7 b% g% ^8 ~ while((node is None or node.color==BLACK)and node !=self.root):3 U8 M7 @+ n5 ]* i
if parent.left==node: 7 X Z- u5 |( |$ N6 X6 l, m4 s other=parent.right- ]8 Y1 c- u& }9 u( e, F
if other.color==RED:1 ~7 |, S! L. {. \+ r- M
other.color=BALCK / w. R( I- k8 ?) X& W parent.color=RED ! m2 e% t1 d4 E2 o6 b' e9 R self.rb_rotate_left(parent) - x9 b* ^6 }, ~) ?& C L other=parent.right5 S% H& c) i( j
if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color ==BLACK): % Q+ j, A) J2 n8 q/ v5 B( ^( d other.color=RED; K" p! W# o+ _3 [7 x
node=parent * A Q4 \ E" T: D parent=node.parent: N1 [- Q) V4 g& l
else: . Z% `4 G" w" |3 r) X; n if other.right is None or other.right.color==BLACK: u/ j( M* n( X* s- z* Y" w2 q {( x5 s) I; n- U7 I9 X1 M
if other.left is not None: , }5 C. p1 N9 i( @4 a& w other.left.color=BLACK- k; i+ {2 M \; Z" m9 W4 W1 u
other.color=RED9 [4 y8 |' v# R a( W$ j
self.rb_rotate_right(other) 9 ?' C; C3 i2 L# N: p3 ] other=parent.right9 X3 R; [! L2 [8 T. e
0 A9 F, f! f9 j4 a
other.color=parent.color* G* P- V7 R$ C* d* b
parent.color=BLACK. p0 z1 r. ~* i
if other.right is not None:3 K9 l1 b$ Y L& g" C& ]; v
other.right.color=BLACK. I/ N/ v3 G! q3 o
self.rb_rotate_left(parent)1 g* \+ m5 |) g# Q2 g* B0 B
node=self.root + Q! _; B- C! y, M break' ~4 D( d& {, r$ J9 j' e
else:, l/ X; I# B* J6 j' Y: L) f( w
other=parent.left. \4 l+ c1 ~6 b5 A+ D( D4 R) e- s* X
if other.color==RED: G }0 o9 v) H3 V& w) Q other.color=BLACK & h K) y" K+ o3 k parent.color=RED 1 l& i4 d; g: }0 j y+ k! x _# E self.rb_rotate_right(parent) . \$ r) B8 C" f8 d. g- E other=parent.left: E& J5 ~5 e/ y, S }$ r7 F
if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color==BLACK):5 c/ l- r$ H" t9 X7 j9 r# ~- W
other.color=RED . k& ]) \. O' U( j$ }: o: e4 Q5 L node=parent r% b! o! q$ R parent=node.parent, c3 v. x1 v8 l. J6 u- V
else: 9 r) v* A0 N6 T& T8 S if other.left is None or other.left.color==BLACK: $ R3 `, Z; {( x E2 y if other.right is not None:' @- }" P! U% o; W
other.right.color=BLACK3 M0 \. q3 p8 T- r6 j
c. ?2 o; Q% d
other.color=RED/ v2 _! p+ U/ \5 R, K
self.rb_rotate_left(other) a5 y: \% }+ n, H$ w other=parent.left% X! A' `2 Q( j% u' |
$ a# K/ A- v) i
other.color=parent.color 5 i/ n3 ?& t* ~) _4 E, d parent.color=BLACK - e% U$ h5 n* Q- B$ q # E5 N) B) L, t, d( z if other.left is not None: 4 ?# N0 g% ^. f3 ^ other.left.color=BLACK E: v2 j( x4 U6 h
, u6 q0 C- g1 r self.rb_rotate_right(parent)) G& p0 n G' f1 ^
node=self.root$ l( S4 Z4 b: Q8 U
break* S# X9 i, @* b
/ Z( l' c8 q- F8 X7 I3 n L! a" b: x# v; p0 f0 J/ I5 }
! p3 d8 i# n! ^, G7 F. u. W
if node is not None:0 @2 `0 c! g% _$ X1 A/ B2 `! ?
node.color=BLACK # X' W( D! ]: j! ^5 \; N: a
! j! `5 k* C* `& e def rb_erase(self,data): # z* z- L; r4 a8 k. S tmp_node=Node(data)1 I6 l8 C' F& a* c
node,parent = self.rb_search_auxiliary(tmp_node)* G2 K! `9 P# G9 ?% m! h2 l
if node is None:. ?1 o! D5 E7 f9 V) w0 P
print "data is not exist." 4 C0 I2 h" _5 p+ Q4 j$ [& K) I return 9 V0 O' V8 i& ~+ Q4 H0 ` ! e3 F6 A9 y1 ^9 r7 |0 M
old =node 0 f9 _- c- ?7 U( l/ x0 B if node.left and node.right: ' N C8 J% j' c) G9 T node=node.right ) ?3 n$ ]& j1 S9 Z6 ?" X5 b! Y + V9 h5 r; G. x1 i3 k left=node.left 0 g, d4 ]. z5 M+ w$ T1 w. }* C while left is not None:$ `0 o _0 N1 _# k/ a: l
node =left + z9 e. ~1 D+ z3 y2 m5 z left=node.left% c9 D5 Z. J- m( |, V6 f- f. h
% H2 @1 ^4 u& p9 v3 p& ^4 ^
child=node.right 0 w2 l, m6 z9 W P* b parent=node.parent8 G% A' E B( | h7 I
color=node.color7 Q- g4 E7 P$ r8 k W
* F) c5 Q3 d: l) I* x if child: 0 B* U8 `8 s1 C child.parent=parent& C: M5 L" q( Z# k; P: s V
if parent: X9 {* M7 q7 p @ e
if parent.left==node:4 O0 B# R2 w I# u8 K( I
parent.left=child 7 Q, j: O8 G6 z4 S. ]+ S else: 6 T) K! L I/ E% j. C" ] parent.right=child/ |# L" l& r7 q
6 r5 i8 e( [9 r& Q! T: U9 N else:# b1 u6 x3 U# k
self.root=child1 r [" L5 ~; `4 w* c
4 x( Y3 L! e* R; q. v+ h6 {
if node.parent==old:; `6 D- V( b/ \* s
parent=node 5 W" B, D- d6 y7 R4 ?# [ node.parent=old.parent. D( f- t6 o& b$ p) I
node.color=old.color # U- f# l4 L" n! D8 \ node.right=old.right3 z8 d+ |1 m% z. `8 i9 c$ x
node.left=old.left1 c; L' K- h7 b P' Z6 F5 e# \
- X' ^9 D( r; L; ]/ @( ^7 G/ B! r
if old.parent:. R2 b4 @) w8 Y/ Y! d! g! o
if old.parent.left==old: - W7 E- k6 r7 {- _ old.parent.left=node9 T$ ?1 E) j5 `# c
else: 9 Q8 Y% Z( ~5 E) K4 [ old.parent.right=node + p4 m- p- S% Q else:7 I5 V( Z' p+ V" J, {& e0 E- |
self.root=node ]" w. o' h, P9 d
4 Z0 t: ?3 `+ C" _ old.left.parent=node ' q3 n$ G! |) | C# h; ^; F if old.right: 1 c8 E- u6 n9 {) a- N! k" M old.right.parent=node7 o$ |0 }2 ]8 e6 e3 u
% p: X- l! h/ c$ u" f
else: * [: j+ y* N0 H1 H2 Z if node.left is None: 0 ~; s u" q* R+ X7 {- M, j child =node.right ) _: k& o6 d4 C" i# r else: % O' Y0 |5 G# C$ i3 u if node.left is not None: . j! w" a3 {* }5 ?* H child=node.left 0 Y6 t( b; |* O5 V2 ?. S# L else:' k( |7 @" N6 ~) p9 L H
child=None5 t! T( d) W" p0 u) F
parent=node.parent1 D0 ]3 F$ j& [! x: n
color=node.color! L4 w# H+ J. q6 @
if child:7 v! G3 }, s7 ?- G$ M9 Z; O' F
child.parent=parent( u$ t" w; c# q8 y* C7 J# Z
if parent:5 x: P' _. v+ {) A7 M% F( N
if parent.left==node:0 F3 r6 j; H) ^8 J- ?" i
parent.left=child: C; i8 N) v& F3 U$ V
else:; k* S6 G8 i( z5 a4 z- h) X
parent.right=child+ a$ r- y$ z' u3 w
else: $ L; E- U# g3 X: y0 N* r- E6 d self.root=child . v6 |3 U& o; i5 ~- R ' @: j0 R$ L0 U if color==BLACK:; W3 j: t: U3 z; z' f# X0 M' _0 _
5 Y* q$ b/ \/ g; D self.rb_erase_rebalance(child,parent) * [5 N; k! [/ a 1 [8 a* C' U- ?% \; I 4 i# {3 N$ E& L" ?* G+ r% Z9 a def rb_travelse(self,node):* S) v; {8 N9 K W
if node is not None:( z8 ], P7 G# W+ ] T9 K
print str(node.data)+'\t'+str(node.color) 4 {% M" ^- L. Z' l0 g4 A5 t' j self.rb_travelse(node.left) : n; K) h+ x, u* x7 f5 ?! |6 q if node.parent: $ s5 U% {* [/ s8 X9 I, o3 S if node.parent.color==0 and node.color==0: - `4 N: f" |) b" b5 ^. r& j9 ~7 h- n( Y print "error" 1 W" C' T; @/ x2 ? return ( _( u* y$ f( U- e+ e4 Z# y self.rb_travelse(node.right) ~% V; u( B1 c! p3 O2 P. e) @ if node.parent:, N( @& C( }7 l5 ?. k& J
if node.parent.color==0 and node.color==0: 8 u" p( r; X# k/ W print "error"! o! W* y9 C$ k3 L" D
return 9 n$ m$ e! ~ S% p3 @. G% I: u) Y( r* d$ n$ o- F' O
return 9 N! t" S; N, U& p* X0 Z! v1 H ! W. S8 g J5 F n 2 H; W! ?; A, p$ A
def cmp(self,node1,node2):7 Z" v8 K' O4 M7 P
if node1.data>node2.data :) B, m! }6 F1 Z* z# {1 }' Y8 g" |! h. R
return 16 ~7 Y% L$ }- w3 Q4 K+ D6 }. |
if node1.data==node2.data :( g( V& h6 b" g
return 0 $ t) q; y; s# o" \4 T, e, d* N if node1.data<node2.data: ! u* t1 e. I; t* q/ }" L return -1 * m) e* Z+ e( S$ S( p ^/ y : t2 u( [# S2 y1 n9 v& Q, pif __name__=="__main__":" i) `* y6 d0 \" ~
print "main", f, s3 q, w I1 b: A
data=[28,6,39,78,6,43,61,56,71,38] 5 R! k, D( `: x! B+ g #for i in range(10):9 k" b8 [6 Y) {# v
# rand_num = random.randint(0, 100), C) O+ h( ?& W1 b
# data.append(rand_num)8 M1 |' P$ G3 K$ s! F% _: ^4 j
#print data9 P9 S: c+ c' S/ N: ?% k$ r9 ]
t=RBtree()- Z: @- U# D: W2 w+ F
( d6 Q- e6 s) X+ _% J3 R$ m/ p# o+ X$ H
for i in range(10): ) e4 f% b; B8 {! ^" y# U* n t.rb_insert(data[i]) # d$ Q) p+ d* p2 S. i6 T. O% X$ B! U: |, f3 P9 E
% W4 i4 U2 @$ A( b! e. b1 o f8 [ t.rb_travelse(t.root)$ }- [% r# A4 Y