2778
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"
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Public domain (1996 published in c.l.s) no limitation on use.
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This class is provided as-is, without any warranty.
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It is not part of or covered by the ST/X copyright.
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"
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"{ Package: 'stx:libbasic2' }"
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4292
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"{ NameSpace: Smalltalk }"
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2778
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Object subclass:#BinaryTreeNode
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instanceVariableNames:'data leftSubtree rightSubtree'
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classVariableNames:''
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poolDictionaries:''
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category:'Collections-Ordered-Trees'
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!
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!BinaryTreeNode class methodsFor:'documentation'!
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copyright
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"
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Public domain (1996 published in c.l.s) no limitation on use.
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This class is provided as-is, without any warranty.
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It is not part of or covered by the ST/X copyright.
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"
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!
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documentation
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"
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goody from comp.lang.smalltalk;
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original header:
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Here's a complete implementation of a binary tree class:
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[organization:]
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The National Capital FreeNet, Ottawa, Ontario, Canada
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[author:]
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al938@FreeNet.Carleton.CA (Steve Chepurny)
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[see also:]
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LinkedList Chain
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Link ValueLink ChainLink
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"
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!
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examples
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"
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manual building of a tree (but see BinaryTree for a collection-facade):
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[exBegin]
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|tree|
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tree := BinaryTreeNode data:2.
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tree leftSubtree:(BinaryTreeNode new data:1).
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tree rightSubtree:(BinaryTreeNode new data:3).
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tree printOn:Transcript.
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[exEnd]
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insertion:
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[exBegin]
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|tree|
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tree := BinaryTreeNode data:'hello'.
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#('the' 'quick' 'brown' 'fox' 'jumps' 'over' 'the' 'lazy' 'dogs')
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do:[:word |
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tree insert:(BinaryTreeNode data:word).
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].
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tree inOrderDo:[:node |
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Transcript showCR:node data
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]
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[exEnd]
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"
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! !
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!BinaryTreeNode class methodsFor:'instance creation'!
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data:data
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"Returns a new binary tree node, holding data"
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^ self basicNew data:data
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"Modified: 10.5.1996 / 15:00:13 / cg"
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"Created: 10.5.1996 / 15:00:35 / cg"
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!
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empty
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"Returns a new binary tree with subtrees as binary tree nodes"
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^ self new
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leftSubtree: self new;
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rightSubtree: self new
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"Modified: 10.5.1996 / 15:00:02 / cg"
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! !
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!BinaryTreeNode methodsFor:'accessing'!
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data
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^ data
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!
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data:anObject
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data := anObject
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!
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leftSubtree
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^leftSubtree
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!
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leftSubtree: aBinaryTree
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leftSubtree := aBinaryTree
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!
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nextNodeInOrder
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"return the node holding the next value"
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^ rightSubtree leftMostNode
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!
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predecessor
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"return the previous value"
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^ self prevNodeInOrder data
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!
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prevNodeInOrder
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"return the node holding the previous value"
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^ leftSubtree rightMostNode
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!
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rightSubtree
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^rightSubtree
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!
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rightSubtree: aBinaryTree
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rightSubtree := aBinaryTree
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!
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successor
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"return the next value"
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^ self nextNodeInOrder data
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! !
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!BinaryTreeNode methodsFor:'enumeration'!
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do: aBlock
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"applies aBlock to each element's data in the binary tree in inorder"
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self inOrderDo:[:eachNode | aBlock value:eachNode data]
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!
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inOrderDo:aBlock
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"Traverses the elements of the binary tree in
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4292
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LEFT - ROOT - RIGHT order,
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applying a block to each node.
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We use an iterative approach here, to avoid VM stack overflow"
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2778
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|nextNode stack|
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stack := Stack new.
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nextNode := self.
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[
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|left|
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stack push:nextNode.
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left := nextNode leftSubtree.
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left isNil ifTrue:[
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[
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stack isEmpty ifTrue:[
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^ self
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].
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nextNode := stack pop.
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aBlock value:nextNode.
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nextNode := nextNode rightSubtree.
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] doWhile:[nextNode isNil]
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] ifFalse:[
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nextNode := left.
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].
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] loop.
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"
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BinaryTree withAll:#(2 16 3 1 0 4 7 9)
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"
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!
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postOrderDo: aBlock
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"Traverses the elements of the binary tree in
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LEFT - RIGHT - ROOT order,
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applying a block to each node"
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leftSubtree notNil ifTrue:[
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leftSubtree postOrderDo: aBlock
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].
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rightSubtree notNil ifTrue:[
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rightSubtree postOrderDo: aBlock
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].
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aBlock value: self.
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!
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preOrderDo: aBlock
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"Traverses the elements of the binary tree in
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ROOT - LEFT - RIGHT order,
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applying a block to each node"
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aBlock value: self.
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leftSubtree notNil ifTrue:[
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leftSubtree preOrderDo: aBlock
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].
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rightSubtree notNil ifTrue:[
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rightSubtree preOrderDo: aBlock
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].
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! !
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!BinaryTreeNode methodsFor:'insert & delete'!
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insert:aBinaryTreeNode
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2973
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<resource: #obsolete>
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2778
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"insert a node, comparing nodes using a default sort rule"
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2784
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self obsoleteMethodWarning.
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^ self insertNode:aBinaryTreeNode
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2778
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2784
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"Created: / 10-05-1996 / 15:09:44 / cg"
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2778
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!
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insert:newBinaryTreeNode sortBlock:sortBlock
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2973
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<resource: #obsolete>
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2778
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"insert a node, comparing nodes using sortBlock"
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2784
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self obsoleteMethodWarning.
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self insertNode:newBinaryTreeNode sortBlock:sortBlock
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"Modified: / 05-08-2012 / 12:35:21 / cg"
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!
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insertNode:aBinaryTreeNode
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"insert a node, comparing nodes using a default sort rule"
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^ self
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insertNode:aBinaryTreeNode
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sortBlock:[:a :b | a < b]
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"Created: / 05-08-2012 / 12:33:00 / cg"
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!
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insertNode:newBinaryTreeNode sortBlock:sortBlock
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"insert a node, comparing nodes using sortBlock"
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2778
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|node newValue left right|
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"/ the following might be ugly - however, it it slightly faster than the stuff below.
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"/ AND it does not suffer stack exhaustion....
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"/ (we MUST have LCO in smalltalk for this to be automatically faster
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node := self.
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newValue := newBinaryTreeNode data.
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[true] whileTrue:[
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(sortBlock value:newValue value:node data) ifTrue:[
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2973
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"newValue is less the node data"
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2778
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left := node leftSubtree.
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left isNil ifTrue:[
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node leftSubtree:newBinaryTreeNode.
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^ self
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].
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node := left
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] ifFalse:[
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"newValue is larger or equal than node data"
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right := node rightSubtree.
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right isNil ifTrue:[
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node rightSubtree:newBinaryTreeNode.
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^ self
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].
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2973
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"if right data is less than node, we would be jumping back..."
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2778
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node := right
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]
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].
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"not reached"
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"/ (sortBlock value:newBinaryTreeNode data value:data) ifTrue:[
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"/ leftSubtree isNil ifTrue:[
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"/ leftSubtree := newBinaryTreeNode.
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"/ ] ifFalse:[
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2973
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"/ leftSubtree insertNode:newBinaryTreeNode sortBlock:sortBlock
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2778
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"/ ]
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"/ ] ifFalse:[
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"/ rightSubtree isNil ifTrue:[
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"/ rightSubtree := newBinaryTreeNode.
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"/ ] ifFalse:[
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2973
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"/ rightSubtree insertNode:newBinaryTreeNode sortBlock:sortBlock
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2778
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"/ ]
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"/ ]
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"
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BinaryTree withAll:#(16 3 1 0 4 7 9)
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"
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2784
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303 |
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"Created: / 05-08-2012 / 12:33:39 / cg"
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2778
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! !
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!BinaryTreeNode methodsFor:'printing'!
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2784
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printDataOn:aStream
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data printOn: aStream.
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"Created: / 05-08-2012 / 14:00:10 / cg"
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!
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2778
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printOn: aStream
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"Append the ascii representation to aStream"
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data isNil
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ifTrue: [aStream nextPutAll: '--']
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ifFalse: [
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aStream nextPut: $(.
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2973
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self printDataOn: aStream. aStream space.
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leftSubtree printOn: aStream. aStream space.
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2778
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rightSubtree printOn: aStream.
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aStream nextPut: $)]
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2784
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326 |
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"Modified: / 06-08-2012 / 08:05:04 / cg"
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2778
|
328 |
!
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printOn:aStream indent:i
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"Append the graphical ascii representation to aStream"
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data isNil
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ifTrue: [aStream spaces:i. aStream nextPutAll: '--']
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ifFalse: [
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aStream spaces:i. aStream nextPut: $(.
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2784
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self printDataOn: aStream.
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2778
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aStream cr.
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leftSubtree isNil
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ifTrue:[ aStream spaces:i+2. '--' printOn: aStream]
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ifFalse:[ leftSubtree printOn: aStream indent:i+2 ].
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aStream cr.
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rightSubtree isNil
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ifTrue:[ aStream spaces:i+2. '--' printOn: aStream]
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ifFalse:[ rightSubtree printOn: aStream indent:i+2 ].
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aStream nextPut: $)
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]
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2784
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348 |
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"Modified: / 06-08-2012 / 08:05:15 / cg"
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2778
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! !
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351 |
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!BinaryTreeNode methodsFor:'private helpers'!
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2973
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354 |
removeLeftMostNode
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|left ll parent|
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leftSubtree isNil ifTrue:[
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self error:'should not happen'
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].
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parent := self.
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left := leftSubtree.
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[ (ll := left leftSubtree) notNil ] whileTrue:[
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parent := left.
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|
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left := ll.
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366 |
].
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parent leftSubtree:(left rightSubtree).
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left rightSubtree:nil.
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^ left.
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!
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2778
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removeLeftRightMostNode
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|rightMost|
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374 |
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leftSubtree rightSubtree isNil ifTrue:[
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rightMost := leftSubtree.
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leftSubtree := leftSubtree leftSubtree.
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^ rightMost.
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].
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^ leftSubtree removeRightMostNode
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382 |
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"
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|tree|
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385 |
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|
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tree := BinaryTreeNode data:4.
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387 |
#(2 6 1 3 5 7)
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|
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do:[:word |
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2973
|
389 |
tree insertNode:(BinaryTreeNode data:word).
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2778
|
390 |
].
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tree printOn:Transcript indent:0. Transcript cr.
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392 |
'---------------------------' printOn:Transcript. Transcript cr.
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2973
|
393 |
Transcript showCR:tree removeLeftRightMostNode.
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tree printOn:Transcript indent:0. Transcript cr.
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395 |
"
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!
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397 |
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398 |
removeRightLeftMostNode
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399 |
|leftMost|
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400 |
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rightSubtree leftSubtree isNil ifTrue:[
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leftMost := rightSubtree.
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|
403 |
rightSubtree := rightSubtree rightSubtree.
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|
404 |
^ leftMost.
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].
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406 |
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|
407 |
^ rightSubtree removeLeftMostNode
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408 |
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|
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"
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410 |
|tree|
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|
411 |
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|
412 |
tree := BinaryTreeNode data:4.
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|
413 |
#(2 6 1 3 5 7)
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|
414 |
do:[:word |
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|
415 |
tree insertNode:(BinaryTreeNode data:word).
|
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416 |
].
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|
417 |
tree printOn:Transcript indent:0. Transcript cr.
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|
418 |
'---------------------------' printOn:Transcript. Transcript cr.
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|
419 |
Transcript showCR:tree removeRightLeftMostNode.
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2778
|
420 |
tree printOn:Transcript indent:0. Transcript cr.
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|
421 |
"
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|
422 |
!
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|
423 |
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|
424 |
removeRightMostNode
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425 |
|right rr parent|
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|
426 |
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|
427 |
rightSubtree isNil ifTrue:[
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|
428 |
self error:'should not happen'
|
|
429 |
].
|
|
430 |
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|
431 |
parent := self.
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|
432 |
right := rightSubtree.
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|
433 |
[ (rr := right rightSubtree) notNil ] whileTrue:[
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|
434 |
parent := right.
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|
435 |
right := rr.
|
|
436 |
].
|
|
437 |
parent rightSubtree:(right leftSubtree).
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2973
|
438 |
right leftSubtree:nil.
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2778
|
439 |
^ right.
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|
440 |
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|
441 |
"
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|
442 |
|tree|
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|
443 |
|
|
444 |
tree := BinaryTreeNode data:4.
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|
445 |
#(2 6 1 3 5 7)
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|
446 |
do:[:word |
|
2973
|
447 |
tree insertNode:(BinaryTreeNode data:word).
|
2778
|
448 |
].
|
|
449 |
Transcript showCR:tree.
|
|
450 |
Transcript showCR:(tree removeLeftRightMostNode).
|
|
451 |
Transcript showCR:tree.
|
|
452 |
"
|
|
453 |
!
|
|
454 |
|
|
455 |
removeValue:oldValue using:compareOp sortBlock:sortBlock
|
|
456 |
"remove a value - returns a new treeNode, or nil if the value is not in the tree"
|
|
457 |
|
|
458 |
|thisIsMyNode newTop newLeft newRight|
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|
459 |
|
|
460 |
"/ speed hack - avoids message sends (and also better inline caching)
|
|
461 |
compareOp == #== ifTrue:[
|
|
462 |
thisIsMyNode := (data == oldValue).
|
|
463 |
] ifFalse:[
|
|
464 |
compareOp == #= ifTrue:[
|
|
465 |
thisIsMyNode := (data = oldValue).
|
|
466 |
] ifFalse:[
|
|
467 |
thisIsMyNode := data perform:compareOp with:oldValue.
|
|
468 |
].
|
|
469 |
].
|
|
470 |
|
|
471 |
thisIsMyNode ifTrue:[
|
|
472 |
leftSubtree isNil ifTrue:[
|
|
473 |
^ rightSubtree
|
|
474 |
].
|
|
475 |
rightSubtree isNil ifTrue:[
|
|
476 |
^ leftSubtree
|
|
477 |
].
|
2973
|
478 |
newTop := self removeRightLeftMostNode.
|
|
479 |
"/ self assert:(rightSubtree isNil or:[(sortBlock value:rightSubtree data value:newTop data) not]).
|
|
480 |
"/ self assert:(leftSubtree isNil or:[sortBlock value:leftSubtree data value:newTop data]).
|
|
481 |
newTop
|
|
482 |
leftSubtree:leftSubtree;
|
|
483 |
rightSubtree:rightSubtree.
|
2778
|
484 |
^ newTop.
|
|
485 |
].
|
|
486 |
|
|
487 |
(sortBlock value:oldValue value:data) ifTrue:[
|
2973
|
488 |
"oldValue is less the node data
|
|
489 |
and should be in the left part"
|
2778
|
490 |
leftSubtree isNil ifTrue:[
|
|
491 |
^ nil
|
|
492 |
].
|
|
493 |
newLeft := leftSubtree removeValue:oldValue using:compareOp sortBlock:sortBlock.
|
|
494 |
newLeft isNil ifTrue:[
|
|
495 |
(leftSubtree data perform:compareOp with:oldValue) ifFalse:[
|
|
496 |
^ nil
|
|
497 |
].
|
|
498 |
].
|
|
499 |
leftSubtree := newLeft.
|
|
500 |
] ifFalse:[
|
2973
|
501 |
"oldValue is larger or equal (equal if doing identity-compare above)
|
|
502 |
than the node data and should be in the right part"
|
2778
|
503 |
rightSubtree isNil ifTrue:[
|
|
504 |
^ nil
|
|
505 |
].
|
|
506 |
newRight := rightSubtree removeValue:oldValue using:compareOp sortBlock:sortBlock.
|
|
507 |
newRight isNil ifTrue:[
|
|
508 |
(rightSubtree data perform:compareOp with:oldValue) ifFalse:[
|
|
509 |
^ nil
|
|
510 |
].
|
|
511 |
].
|
|
512 |
rightSubtree := newRight.
|
|
513 |
].
|
|
514 |
^ self.
|
|
515 |
! !
|
|
516 |
|
|
517 |
!BinaryTreeNode methodsFor:'queries'!
|
|
518 |
|
|
519 |
depth
|
|
520 |
"Returns the depth of the binary tree (0 for leafs)"
|
|
521 |
|
|
522 |
^ self level - 1.
|
|
523 |
!
|
|
524 |
|
|
525 |
getTreeWithAnInteger: anInteger
|
|
526 |
"Private - Returns the BinaryTree with data anInteger.
|
|
527 |
If anInteger not in the tree it returns nil."
|
|
528 |
|
|
529 |
self inOrderDo: [:each| each data = anInteger ifTrue:[^each]].
|
|
530 |
^nil.
|
|
531 |
!
|
|
532 |
|
|
533 |
inOrderSuccessor
|
|
534 |
"Returns the in-order successor the of receiver.
|
|
535 |
(that is the leftMost node on the right side)
|
|
536 |
If receiver is empty then returns the receiver."
|
|
537 |
|
|
538 |
rightSubtree isNil ifTrue:[^ self].
|
|
539 |
^ rightSubtree leftMostNode
|
|
540 |
!
|
|
541 |
|
|
542 |
includesIdenticalValue:aValue sortBlock:sortBlock
|
|
543 |
"return true, if aValue is contained as some node's data"
|
|
544 |
|
|
545 |
data == aValue ifTrue:[ ^ true ].
|
|
546 |
(sortBlock value:aValue value:data) ifTrue:[
|
|
547 |
leftSubtree isNil ifTrue:[
|
|
548 |
^ false
|
|
549 |
].
|
|
550 |
^ leftSubtree includesIdenticalValue:aValue sortBlock:sortBlock.
|
|
551 |
].
|
|
552 |
rightSubtree isNil ifTrue:[
|
|
553 |
^ false
|
|
554 |
].
|
|
555 |
^ rightSubtree includesIdenticalValue:aValue sortBlock:sortBlock.
|
|
556 |
!
|
|
557 |
|
|
558 |
includesValue:aValue sortBlock:sortBlock
|
|
559 |
"return true, if some node's data is equal to aValue"
|
|
560 |
|
|
561 |
data = aValue ifTrue:[ ^ true ].
|
|
562 |
|
|
563 |
(sortBlock value:aValue value:data) ifTrue:[
|
|
564 |
leftSubtree isNil ifTrue:[
|
|
565 |
^ false
|
|
566 |
].
|
|
567 |
^ leftSubtree includesValue:aValue sortBlock:sortBlock.
|
|
568 |
].
|
|
569 |
rightSubtree isNil ifTrue:[
|
|
570 |
^ false
|
|
571 |
].
|
|
572 |
^ rightSubtree includesValue:aValue sortBlock:sortBlock.
|
|
573 |
!
|
|
574 |
|
|
575 |
isEmpty
|
|
576 |
"returns true if the binary tree is empty and false otherwise"
|
|
577 |
|
|
578 |
^ data isNil
|
|
579 |
!
|
|
580 |
|
|
581 |
isLeaf
|
|
582 |
"Returns true if self is a leaf"
|
|
583 |
|
|
584 |
^ ((leftSubtree isNil) and: [rightSubtree isNil])
|
|
585 |
!
|
|
586 |
|
|
587 |
leftMostNode
|
|
588 |
"Returns the leftMost (smallest-valued) node"
|
|
589 |
|
|
590 |
leftSubtree isNil ifTrue:[^ self].
|
|
591 |
^ leftSubtree leftMostNode
|
|
592 |
!
|
|
593 |
|
|
594 |
level
|
|
595 |
"Returns the level of the binary tree (1 for leafs)"
|
|
596 |
|
|
597 |
|l|
|
|
598 |
|
|
599 |
l := 0.
|
|
600 |
leftSubtree notNil ifTrue:[
|
|
601 |
l := leftSubtree level
|
|
602 |
].
|
|
603 |
rightSubtree notNil ifTrue:[
|
|
604 |
l := l max:(rightSubtree level)
|
|
605 |
].
|
|
606 |
^ l + 1
|
|
607 |
!
|
|
608 |
|
|
609 |
rightMostNode
|
|
610 |
"Returns the rightMost (largest-valued) node"
|
|
611 |
|
|
612 |
rightSubtree isNil ifTrue:[^ self].
|
|
613 |
^ rightSubtree rightMostNode
|
|
614 |
!
|
|
615 |
|
|
616 |
size
|
|
617 |
"Returns the size of the binary tree"
|
|
618 |
|
|
619 |
^ 1
|
|
620 |
+ (leftSubtree isNil ifTrue: [0] ifFalse:[leftSubtree size])
|
|
621 |
+ (rightSubtree isNil ifTrue: [0] ifFalse:[rightSubtree size])
|
|
622 |
! !
|
|
623 |
|
|
624 |
!BinaryTreeNode class methodsFor:'documentation'!
|
|
625 |
|
|
626 |
version
|
4292
|
627 |
^ '$Header$'
|
2778
|
628 |
!
|
|
629 |
|
|
630 |
version_CVS
|
4292
|
631 |
^ '$Header$'
|
2778
|
632 |
! !
|
2973
|
633 |
|