PowerSet.st
author Claus Gittinger <cg@exept.de>
Mon, 20 Mar 2006 09:50:28 +0100
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"
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 COPYRIGHT (c) 2006 by eXept Software AG
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              All Rights Reserved
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 This software is furnished under a license and may be used
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 only in accordance with the terms of that license and with the
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 inclusion of the above copyright notice.   This software may not
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 be provided or otherwise made available to, or used by, any
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 other person.  No title to or ownership of the software is
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 hereby transferred.
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"
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"{ Package: 'stx:libbasic2' }"
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Collection subclass:#PowerSet
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	instanceVariableNames:'baseSet'
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	classVariableNames:''
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	poolDictionaries:''
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	category:'Collections-Unordered'
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!
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!PowerSet class methodsFor:'documentation'!
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copyright
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"
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 COPYRIGHT (c) 2006 by eXept Software AG
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              All Rights Reserved
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 This software is furnished under a license and may be used
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 only in accordance with the terms of that license and with the
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 inclusion of the above copyright notice.   This software may not
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 be provided or otherwise made available to, or used by, any
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 other person.  No title to or ownership of the software is
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 hereby transferred.
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"
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!
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documentation
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"
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    This is an example collection class;
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    its main purpose is to be useful as a tutorial example on concepts.
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    A PowerSet of a collection is the set of all possible (sub-)collections
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    built from the original collection's elements.
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    This includes the empty collection.
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    The PowerSet of [1 2 3] is therefore:
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        []
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        [1]
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        [2]
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        [3]
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        [1 2]
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        [1 3]
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        [2 3]
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        [1 2 3]
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    As the powerset can quickly become huge in size (for a baseSet of n elements, we
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    get a powerSet size of 2^N), the elements of the powerset are created dynamically.
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    I.e. they are only created on demand.
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    As this, this is a good example of polymorphism: powerSets represent collections,
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    but do not really store their elements (see Interval for another such Collection).
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    [author:]
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        Claus Gittinger
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    [see also:]
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        Set Interval
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"
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! !
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!PowerSet class methodsFor:'instance creation'!
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for:aCollection 
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    "Create & return a new instance for aCollection."
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    ^ self basicNew initializeFor:aCollection 
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! !
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!PowerSet methodsFor:'enumerating'!
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do:aBlock 
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    "evaluate the argument, aBlock for each element"
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    |firstElement restElements restPowerSet|
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    baseSet isEmpty ifTrue:[
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        aBlock value:#().
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    ] ifFalse:[
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        baseSet isSequenceable ifTrue:[
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            firstElement := baseSet first.
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            restElements := baseSet from:2.
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        ] ifFalse:[
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            firstElement := baseSet anElement.
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            restElements := Set withAll:baseSet.
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            restElements remove:firstElement.
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        ].
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        restPowerSet := PowerSet for:restElements.
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        restPowerSet do:[:each | 
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            aBlock value:(baseSet species with:firstElement) , each.
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        ].
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        restPowerSet do:aBlock.
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    ].
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! !
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!PowerSet methodsFor:'initialization'!
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initializeFor:aCollection 
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    baseSet := aCollection.
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! !
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!PowerSet methodsFor:'queries'!
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size
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    ^ 2 raisedTo:baseSet size
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! !
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!PowerSet class methodsFor:'documentation'!
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version
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    ^ '$Header: /cvs/stx/stx/libbasic2/PowerSet.st,v 1.1 2006-03-20 08:50:28 cg Exp $'
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! !