Matrix3_3.st
author Claus Gittinger <cg@exept.de>
Sat, 02 May 2020 21:40:13 +0200
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ab3d7db395d2 #DOCUMENTATION by exept
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"{ Encoding: utf8 }"
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"
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 COPYRIGHT (c) 2018 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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"{ NameSpace: Smalltalk }"
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SquareMatrix variableSubclass:#Matrix3_3
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	instanceVariableNames:''
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	classVariableNames:''
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	poolDictionaries:''
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	category:'Collections-MultiDimensional'
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!
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!Matrix3_3 class methodsFor:'documentation'!
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copyright
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"
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 COPYRIGHT (c) 2018 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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    3x3 Matrix (2 dimensions).
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    Especially useful with the ArrayIndexing-Parser extension.
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    [author:]
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        Claus Gittinger (cg@sinir)
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    [instance variables:]
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    [class variables:]
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    [see also:]
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        MatrixAccessor
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"
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! !
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!Matrix3_3 class methodsFor:'instance creation'!
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new
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    ^ self basicNew:3*3
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! !
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!Matrix3_3 methodsFor:'accessing'!
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_at:index1 at:index2
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    "this is a synthetic selector, generated by the compiler,
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     if a construct of the form expr[idx...] is parsed.
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     I.e. 
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        foo[n][m]
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     generates
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        foo _at:n at:m
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    "
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    |idx|
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    (index1 between:1 and:3) ifFalse:[self subscriptBoundsError:index1].
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    (index2 between:1 and:3) ifFalse:[self subscriptBoundsError:index2].
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    idx := index1 * 3 - 3 + index2.
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    ^ self basicAt:idx.
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!
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_at:index1 at:index2 put:value
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    "this is a synthetic selector, generated by the compiler,
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     if a construct of the form expr[idx...] := val is parsed.
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     I.e. 
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        foo[n][m] := val
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     generates
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        foo _at:n at:m put:val
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    "
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    |idx|
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    (index1 between:1 and:3) ifFalse:[self subscriptBoundsError:index1].
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    (index2 between:1 and:3) ifFalse:[self subscriptBoundsError:index2].
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    idx := index1 * 3 - 3 + index2.
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    ^ self basicAt:idx put:value.
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! !
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!Matrix3_3 methodsFor:'matrix operations'!
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determinantByCofactors
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    "Answer the determinant of this matrix."
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    ^ ((self _at: 1 at: 1) * (((self _at: 2 at: 2)*(self _at: 3 at: 3)) - ((self _at: 3 at: 2)*(self _at: 2 at: 3)))) -
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      ((self _at: 1 at: 2) * (((self _at: 2 at: 1)*(self _at: 3 at: 3)) - ((self _at: 3 at: 1)*(self _at: 2 at: 3)))) +
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      ((self _at: 1 at: 3) * (((self _at: 2 at: 1)*(self _at: 3 at: 2)) - ((self _at: 3 at: 1)*(self _at: 2 at: 2)))).
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! !
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!Matrix3_3 class methodsFor:'documentation'!
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version_CVS
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    ^ '$Header$'
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! !
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