Point.st
author claus
Wed, 22 Feb 1995 02:14:51 +0100
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child 293 31df3850e98c
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"
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 COPYRIGHT (c) 1989 by Claus Gittinger
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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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ArithmeticValue subclass:#Point
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       instanceVariableNames:'x y'
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       classVariableNames:'PointZero PointOne'
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       poolDictionaries:''
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       category:'Graphics-Primitives'
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!
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Point comment:'
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COPYRIGHT (c) 1989 by Claus Gittinger
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	      All Rights Reserved
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$Header: /cvs/stx/stx/libbasic/Point.st,v 1.16 1995-02-22 01:14:11 claus Exp $
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'!
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!Point class methodsFor:'documentation'!
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copyright
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"
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 COPYRIGHT (c) 1989 by Claus Gittinger
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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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version
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$Header: /cvs/stx/stx/libbasic/Point.st,v 1.16 1995-02-22 01:14:11 claus Exp $
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documentation
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"
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    I represent a point in 2D space. Or I can be used to represent
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    an extent (of a rectangle, for example), in which case my x-coordinate 
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    represents the width, and y-coordinate the height of something.
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    The x and y coordinate are usually numbers.
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    Instance variables:
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	x              <Number>        the x-coordinate of myself
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	y              <Number>        the y-coordinate of myself
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"
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! !
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!Point class methodsFor:'initialization'!
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initialize
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    PointZero := 0 @ 0.
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    PointOne  := 1 @ 1
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! !
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!Point class methodsFor:'constants'!
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zero
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    "return the neutral element for addition"
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    ^ PointZero
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!
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unity
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    "return the neutral element for multiplication"
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    ^ PointOne
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! !
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!Point class methodsFor:'queries'!
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isBuiltInClass
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    "this class is known by the run-time-system"
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    ^ self == Point
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! !
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!Point class methodsFor:'instance creation'!
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x:newX y:newY
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    "create and return a new point with coordinates newX and newY"
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%{  /* NOCONTEXT */
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    /*
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     * claus: I am no longer certain, if this primitive is worth the effort
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     */
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    if (self == Point) {
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	if (_CanDoQuickNew(sizeof(struct point))) {
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	    OBJ newPoint;
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	    _qCheckedAlignedNew(newPoint, sizeof(struct point));
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	    _InstPtr(newPoint)->o_class = Point;
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	    _PointInstPtr(newPoint)->p_x = newX;
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	    _PointInstPtr(newPoint)->p_y = newY;
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	    __STORE(newPoint, newX);
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	    __STORE(newPoint, newY);
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	    RETURN ( newPoint );
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	}
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    }
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%}
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.
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    ^ (self basicNew) x:newX y:newY
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!
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readFrom:aStream onError:exceptionBlock
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    "return the next Point from the (character-)stream aStream;
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     skipping all whitespace first; return the value of exceptionBlock,
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     if no point can be read."
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    |newX newY|
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    newX := Number readFrom:aStream onError:[^exceptionBlock value].
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    newX isNil ifTrue:[^ nil].
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    (aStream skipSeparators ~~ $@) ifTrue:[^nil].
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    aStream next.
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    newY := Number readFrom:aStream onError:[^exceptionBlock value].
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    newY isNil ifTrue:[^ nil].
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    ^ (self basicNew) x:newX y:newY
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    "
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     Point readFrom:('1.234 @ 5.678' readStream)
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     Point readFrom:('fooBar' readStream) onError:[0@0]
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    "  
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! !
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!Point methodsFor:'accessing'!
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x
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    "return the x coordinate"
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    ^ x
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!
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y
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    "return the y coordinate"
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    ^ y
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!
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x:newX
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    "set the x coordinate to be the argument, aNumber.
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     This is destructive (modifies the receiver, not a copy) and 
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     should only be used if you know, that you are the exclusive owner 
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     of the receiver."
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    x := newX
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!
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y:newY
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    "set the y coordinate to be the argument, aNumber.
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     This is destructive (modifies the receiver, not a copy) and 
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     should only be used if you know, that you are the exclusive owner 
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     of the receiver."
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    y := newY
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!
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x:newX y:newY
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    "set both the x and y coordinates.
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     This is destructive (modifies the receiver, not a copy) and 
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     should only be used if you know, that you are the exclusive owner 
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     of the receiver."
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    x := newX.
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    y := newY
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! !
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!Point methodsFor:'comparing'!
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hash
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    "return a number for hashing"
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    x = y ifTrue:[^ x hash].
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"
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 used to be:
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    ^ (x hash) bitXor:(y hash)
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 the following handles 1@x vs. x@1 better:
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"
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    ^ (x hash) bitXor:(y hash bitShift:12)
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!
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< aPoint
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    "return true if the receiver is above and to the left
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     of the argument, aPoint"
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    |p|
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    p := aPoint asPoint.
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    x >= (p x) ifTrue:[^ false].
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    y >= (p y) ifTrue:[^ false].
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    ^ true
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!
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> aPoint
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    "return true if  the receiver is below and to the right
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     of the argument, aPoint"
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claus
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   213
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    |p|
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    p := aPoint asPoint.
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claus
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    x <= (p x) ifTrue:[^ false].
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    y <= (p y) ifTrue:[^ false].
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    ^ true
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!
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parents:
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   221
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= aPoint
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    "return true if the receiver represents the same point as
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claus
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     the argument, aPoint"
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parents:
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   225
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    |p|
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    (aPoint isMemberOf:Point) ifTrue:[     "this is a hint to STC"
217
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parents: 213
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	x ~= (aPoint x) ifTrue:[^ false].
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	y ~= (aPoint y) ifTrue:[^ false].
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	^ true
1
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    ].
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    aPoint respondsToArithmetic ifFalse:[ ^ false].
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claus
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    p := aPoint asPoint.
217
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parents: 213
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    x ~= (p x) ifTrue:[^ false].
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claus
parents: 213
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   236
    y ~= (p y) ifTrue:[^ false].
1
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    ^ true
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!
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parents:
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   239
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max:aPoint
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claus
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   241
    "return the lower right corner of the rectangle uniquely defined by
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     the receiver and the argument, aPoint"
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parents:
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   243
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claus
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    |p maxX maxY|
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claus
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   245
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claus
parents:
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   246
    p := aPoint asPoint.
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claus
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    maxX := x max:(p x).
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claus
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    maxY := y max:(p y).
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claus
parents:
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    ^ maxX @ maxY
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parents:
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   250
!
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claus
parents:
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   251
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claus
parents:
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min:aPoint
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claus
parents:
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   253
    "return the upper left corner of the rectangle uniquely defined by
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claus
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     the receiver and the argument, aPoint"
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claus
parents:
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   255
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claus
parents:
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    |p minX minY|
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claus
parents:
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   257
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claus
parents:
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   258
    p := aPoint asPoint.
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claus
parents:
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    minX := x min:(p x).
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claus
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    minY := y min:(p y).
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claus
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    ^ minX @ minY
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claus
parents:
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! !
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parents:
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213
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parents: 202
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   264
!Point methodsFor:'coercing & converting'!
1
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claus
parents:
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generality
40
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parents: 13
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    "return the generality value - see ArithmeticValue>>retry:coercing:"
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parents: 13
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   268
1
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    ^ 120
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parents:
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!
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   271
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claus
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coerce:anObject
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parents: 13
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    "return aNumber converted into receivers type"
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   274
1
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    ^ anObject asPoint
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claus
parents:
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!
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claus
parents:
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   277
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claus
parents:
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asPoint
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claus
parents:
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   279
    "return the receiver as Point - this is the receiver"
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claus
parents:
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   280
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claus
parents:
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    ^ self
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claus
parents:
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   282
!
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claus
parents:
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   283
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claus
parents:
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asRectangle
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claus
parents:
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   285
    "return a zero-width rectangle consisting of origin 
57
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claus
parents: 44
diff changeset
   286
     and corner being the receiver"
1
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claus
parents:
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   287
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claus
parents:
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   288
    ^ self corner:self
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claus
parents:
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   289
! !
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claus
parents:
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   290
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claus
parents:
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   291
!Point methodsFor:'creating rectangles'!
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claus
parents:
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   292
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claus
parents:
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   293
corner:aPoint
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claus
parents:
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   294
    "return a rectangle whose origin is self and corner is aPoint"
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claus
parents:
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   295
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claus
parents:
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   296
    ^ Rectangle origin:self corner:aPoint
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claus
parents:
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   297
!
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claus
parents:
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   298
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claus
parents:
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   299
extent:aPoint
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claus
parents:
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   300
    "return a rectangle whose origin is self and extent is aPoint"
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claus
parents:
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   301
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claus
parents:
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   302
    ^ Rectangle origin:self extent:aPoint
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claus
parents:
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   303
! !
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claus
parents:
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   304
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claus
parents:
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   305
!Point methodsFor:'transformations'!
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claus
parents:
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   306
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claus
parents:
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   307
+ scale 
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claus
parents:
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   308
    "Return a new Point that is the sum of the 
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claus
parents:
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   309
     receiver and scale (which is a Point or Number)."
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claus
parents:
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   310
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claus
parents:
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   311
    |scalePoint|
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claus
parents:
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   312
77
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    "speedup for common cases ..."
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claus
parents: 57
diff changeset
   314
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parents: 57
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   315
    (scale isMemberOf:Point) ifTrue:[     
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parents: 93
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   316
	^ (x + scale x) @ (y + scale y)
77
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claus
parents: 57
diff changeset
   317
    ].
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parents: 57
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   318
    scale isNumber ifTrue:[
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parents: 93
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   319
	^ (x + scale) @ (y + scale)
77
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parents: 57
diff changeset
   320
    ].
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claus
parents: 57
diff changeset
   321
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claus
parents: 57
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   322
    "this is the general (& clean) code ..."
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claus
parents: 57
diff changeset
   323
1
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parents:
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   324
    scalePoint := scale asPoint.
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claus
parents:
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   325
    ^ (x + scalePoint x) @ (y + scalePoint y)
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claus
parents:
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   326
!
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claus
parents:
diff changeset
   327
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claus
parents:
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   328
- scale 
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claus
parents:
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   329
    "Return a new Point that is the difference of the 
a27a279701f8 Initial revision
claus
parents:
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   330
     receiver and scale (which is a Point or Number)."
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claus
parents:
diff changeset
   331
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claus
parents:
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   332
    |scalePoint|
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claus
parents:
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   333
77
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parents: 57
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   334
    "speedup for common cases ..."
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claus
parents: 57
diff changeset
   335
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claus
parents: 57
diff changeset
   336
    (scale isMemberOf:Point) ifTrue:[     
180
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claus
parents: 93
diff changeset
   337
	^ (x - scale x) @ (y - scale y)
77
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claus
parents: 57
diff changeset
   338
    ].
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claus
parents: 57
diff changeset
   339
    scale isNumber ifTrue:[
180
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claus
parents: 93
diff changeset
   340
	^ (x - scale) @ (y - scale)
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   341
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   342
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   343
    "this is the general (& clean) code ..."
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   344
1
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parents:
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   345
    scalePoint := scale asPoint.
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claus
parents:
diff changeset
   346
    ^ (x - scalePoint x) @ (y - scalePoint y)
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claus
parents:
diff changeset
   347
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   348
a27a279701f8 Initial revision
claus
parents:
diff changeset
   349
* scale 
a27a279701f8 Initial revision
claus
parents:
diff changeset
   350
    "Return a new Point that is the product of the 
a27a279701f8 Initial revision
claus
parents:
diff changeset
   351
     receiver and scale (which is a Point or Number)."
a27a279701f8 Initial revision
claus
parents:
diff changeset
   352
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claus
parents:
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   353
    |scalePoint|
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claus
parents:
diff changeset
   354
77
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claus
parents: 57
diff changeset
   355
    "speedup for common cases ..."
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   356
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   357
    (scale isMemberOf:Point) ifTrue:[    
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   358
	^ (x * scale x) @ (y * scale y)
77
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claus
parents: 57
diff changeset
   359
    ].
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claus
parents: 57
diff changeset
   360
    scale isNumber ifTrue:[
180
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claus
parents: 93
diff changeset
   361
	^ (x * scale) @ (y * scale)
77
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claus
parents: 57
diff changeset
   362
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   363
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   364
    "this is the general (& clean) code ..."
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   365
1
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claus
parents:
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   366
    scalePoint := scale asPoint.
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claus
parents:
diff changeset
   367
    ^ (x * scalePoint x) @ (y * scalePoint y)
a27a279701f8 Initial revision
claus
parents:
diff changeset
   368
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   369
a27a279701f8 Initial revision
claus
parents:
diff changeset
   370
/ scale 
a27a279701f8 Initial revision
claus
parents:
diff changeset
   371
    "Return a new Point that is the integer quotient of the 
a27a279701f8 Initial revision
claus
parents:
diff changeset
   372
     receiver and scale (which is a Point or Number)."
a27a279701f8 Initial revision
claus
parents:
diff changeset
   373
a27a279701f8 Initial revision
claus
parents:
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   374
    |scalePoint|
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claus
parents:
diff changeset
   375
77
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claus
parents: 57
diff changeset
   376
    "speedup for common cases ..."
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   377
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   378
    (scale isMemberOf:Point) ifTrue:[    
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   379
	^ (x / scale x) @ (y / scale y)
77
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claus
parents: 57
diff changeset
   380
    ].
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claus
parents: 57
diff changeset
   381
    scale isNumber ifTrue:[
180
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claus
parents: 93
diff changeset
   382
	^ (x / scale) @ (y / scale)
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   383
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   384
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   385
    "this is the general (& clean) code ..."
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   386
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   387
    scalePoint := scale asPoint.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   388
    ^ (x / scalePoint x) @ (y / scalePoint y)
a27a279701f8 Initial revision
claus
parents:
diff changeset
   389
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   390
a27a279701f8 Initial revision
claus
parents:
diff changeset
   391
// scale 
a27a279701f8 Initial revision
claus
parents:
diff changeset
   392
    "Return a new Point that is the quotient of the 
a27a279701f8 Initial revision
claus
parents:
diff changeset
   393
     receiver and scale (which is a Point or Number)."
a27a279701f8 Initial revision
claus
parents:
diff changeset
   394
a27a279701f8 Initial revision
claus
parents:
diff changeset
   395
    |scalePoint|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   396
a27a279701f8 Initial revision
claus
parents:
diff changeset
   397
    scalePoint := scale asPoint.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   398
    ^ (x // scalePoint x) @ (y // scalePoint y)
a27a279701f8 Initial revision
claus
parents:
diff changeset
   399
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   400
a27a279701f8 Initial revision
claus
parents:
diff changeset
   401
reciprocal
a27a279701f8 Initial revision
claus
parents:
diff changeset
   402
    "return a new point where the coordinates are
a27a279701f8 Initial revision
claus
parents:
diff changeset
   403
     the reciproce of mine"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   404
a27a279701f8 Initial revision
claus
parents:
diff changeset
   405
    ^ (1 / x) @ (1 / y)
a27a279701f8 Initial revision
claus
parents:
diff changeset
   406
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   407
a27a279701f8 Initial revision
claus
parents:
diff changeset
   408
negated
77
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claus
parents: 57
diff changeset
   409
    "return a new point with my coordinates negated 
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   410
     i.e. the receiver mirrored at the origin"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   411
a27a279701f8 Initial revision
claus
parents:
diff changeset
   412
    ^ (x negated) @ (y negated)
3
24d81bf47225 *** empty log message ***
claus
parents: 2
diff changeset
   413
! 
24d81bf47225 *** empty log message ***
claus
parents: 2
diff changeset
   414
24d81bf47225 *** empty log message ***
claus
parents: 2
diff changeset
   415
scaledBy:aScale
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claus
parents: 2
diff changeset
   416
    "return a new Point that is the product of the 
1
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claus
parents:
diff changeset
   417
     receiver and scale (which is a Point or Number)."
a27a279701f8 Initial revision
claus
parents:
diff changeset
   418
a27a279701f8 Initial revision
claus
parents:
diff changeset
   419
    ^ self * aScale
a27a279701f8 Initial revision
claus
parents:
diff changeset
   420
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   421
3
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claus
parents: 2
diff changeset
   422
translatedBy:anOffset
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claus
parents: 2
diff changeset
   423
    "return a new Point that is the sum of the 
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   424
     receiver and scale (which is a Point or Number)."
a27a279701f8 Initial revision
claus
parents:
diff changeset
   425
a27a279701f8 Initial revision
claus
parents:
diff changeset
   426
    ^ self + anOffset
a27a279701f8 Initial revision
claus
parents:
diff changeset
   427
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   428
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   429
!Point methodsFor:'destructive transformations'!
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   430
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   431
scaleBy:aScale
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   432
    "scale the receiver, by replacing coordinates by the product
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   433
     of the receivers coordinates and the scale (a Point or Number).
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   434
     This is destructive (modifies the receiver, not a copy) and 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   435
     should only be used if you know, that you are the exclusive owner 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   436
     of the receiver."
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   437
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   438
    |scalePoint|
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   439
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   440
    (aScale isMemberOf:Point) ifTrue:[  "type hint to stc"  
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   441
	x := x * aScale x.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   442
	y := y * aScale y.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   443
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   444
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   445
    aScale isNumber ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   446
	x := x * aScale.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   447
	y := y * aScale.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   448
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   449
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   450
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   451
    "this is the general (& clean) code ..."
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   452
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   453
    scalePoint := aScale asPoint.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   454
    x := x * scalePoint x.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   455
    y := y * scalePoint y
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   456
!
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   457
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   458
translateBy:anOffset
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   459
    "translate the receiver, by replacing coordinates by the sum
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   460
     of the receivers coordinated and the scale (a Point or Number).
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   461
     This is destructive (modifies the receiver, not a copy) and 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   462
     should only be used if you know, that you are the exclusive owner 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   463
     of the receiver."
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   464
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   465
    |offsetPoint|
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   466
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   467
    (anOffset isMemberOf:Point) ifTrue:[ "type hint to stc"   
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   468
	x := x + anOffset x.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   469
	y := y + anOffset y.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   470
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   471
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   472
    anOffset isNumber ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   473
	x := x + anOffset.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   474
	y := y + anOffset.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   475
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   476
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   477
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   478
    "this is the general (& clean) code ..."
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   479
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   480
    offsetPoint := anOffset asPoint.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   481
    x := x + anOffset x.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   482
    y := y + anOffset y
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   483
! !
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   484
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   485
!Point methodsFor:'queries'!
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   486
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   487
isPoint
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   488
    "return true, if the receiver is some kind of point"
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   489
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   490
    ^ true
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   491
! !
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   492
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   493
!Point methodsFor:'misc'!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   494
a27a279701f8 Initial revision
claus
parents:
diff changeset
   495
dist:aPoint 
a27a279701f8 Initial revision
claus
parents:
diff changeset
   496
    "return the distance between aPoint and the receiver."
a27a279701f8 Initial revision
claus
parents:
diff changeset
   497
a27a279701f8 Initial revision
claus
parents:
diff changeset
   498
    ^ (aPoint - self) r
a27a279701f8 Initial revision
claus
parents:
diff changeset
   499
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   500
a27a279701f8 Initial revision
claus
parents:
diff changeset
   501
dotProduct:aPoint 
57
db9677479d35 *** empty log message ***
claus
parents: 44
diff changeset
   502
    "return a number that is the dot product of the receiver and
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   503
     the argument, aPoint.  That is, the two points are
57
db9677479d35 *** empty log message ***
claus
parents: 44
diff changeset
   504
     multiplied and the coordinates of the result summed."
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   505
a27a279701f8 Initial revision
claus
parents:
diff changeset
   506
    |temp|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   507
a27a279701f8 Initial revision
claus
parents:
diff changeset
   508
    temp := self * aPoint.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   509
    ^ temp x abs + temp y abs
a27a279701f8 Initial revision
claus
parents:
diff changeset
   510
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   511
a27a279701f8 Initial revision
claus
parents:
diff changeset
   512
r
217
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   513
    "return the receiver's radius in a polar coordinate system.
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   514
     (i.e. the length of a vector from 0@0 to the receiver)"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   515
a27a279701f8 Initial revision
claus
parents:
diff changeset
   516
    ^ (self dotProduct:self) sqrt
217
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   517
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   518
    "
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   519
     (1@1) r 
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   520
     (2@1) r 
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   521
     (2@0) r 
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   522
    "
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   523
!
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   524
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   525
angle 
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   526
    "return the receiver's angle in a polar coordinate system.
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   527
     (i.e. the angle of a vector from 0@0 to the receiver)"
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   528
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   529
    y < 0 ifTrue:[
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   530
	x < 0 ifTrue:[
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   531
	    ^  270 degreesToRadians - (y / x) arcTan
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   532
	].
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   533
	x = 0 ifTrue:[
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   534
	    ^ 180
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   535
	].
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   536
	^ 360 degreesToRadians - (y abs / x) arcTan
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   537
    ].
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   538
    x < 0 ifTrue:[
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   539
	^ 180 degreesToRadians - (y / x abs) arcTan 
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   540
    ].
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   541
    x = 0 ifTrue:[
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   542
	^ 0
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   543
    ].
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   544
    ^ (y / x) arcTan
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   545
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   546
    "
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   547
     (1@1) angle radiansToDegrees
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   548
     (2@1) angle radiansToDegrees   
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   549
    "
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   550
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   551
a27a279701f8 Initial revision
claus
parents:
diff changeset
   552
abs
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   553
    "return a new point with my coordinates taken from the absolute values."
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   554
a27a279701f8 Initial revision
claus
parents:
diff changeset
   555
    ^ (x abs) @ (y abs)
a27a279701f8 Initial revision
claus
parents:
diff changeset
   556
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   557
a27a279701f8 Initial revision
claus
parents:
diff changeset
   558
truncated
57
db9677479d35 *** empty log message ***
claus
parents: 44
diff changeset
   559
    "return a new point with my coordinates truncated as integer or the
db9677479d35 *** empty log message ***
claus
parents: 44
diff changeset
   560
     receiver, if already truncated."
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   561
57
db9677479d35 *** empty log message ***
claus
parents: 44
diff changeset
   562
    (x isInteger and:[y isInteger]) ifTrue:[^ self].
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   563
    ^ (x truncated) @ (y truncated)
a27a279701f8 Initial revision
claus
parents:
diff changeset
   564
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   565
a27a279701f8 Initial revision
claus
parents:
diff changeset
   566
rounded
a27a279701f8 Initial revision
claus
parents:
diff changeset
   567
    "return a new point with my coordinates rounded to the next integer
57
db9677479d35 *** empty log message ***
claus
parents: 44
diff changeset
   568
     coordinated (use for gridding) or the receiver of already rounded."
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   569
57
db9677479d35 *** empty log message ***
claus
parents: 44
diff changeset
   570
    (x isInteger and:[y isInteger]) ifTrue:[^ self].
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   571
    ^ (x rounded) @ (y rounded)
a27a279701f8 Initial revision
claus
parents:
diff changeset
   572
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   573
a27a279701f8 Initial revision
claus
parents:
diff changeset
   574
grid:gridPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   575
    "return a new point with coordinates grided (i.e. rounded to the
a27a279701f8 Initial revision
claus
parents:
diff changeset
   576
     nearest point on the grid)"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   577
a27a279701f8 Initial revision
claus
parents:
diff changeset
   578
    |newX newY gridX gridY|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   579
a27a279701f8 Initial revision
claus
parents:
diff changeset
   580
    gridX := gridPoint x.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   581
    (gridX <= 1) ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   582
	newX := x asInteger
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   583
    ] ifFalse:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   584
	newX := ((x + (gridX // 2)) // gridX) * gridX
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   585
    ].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   586
    gridY := gridPoint y.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   587
    (gridY <= 1) ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   588
	newY := y asInteger
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   589
    ] ifFalse:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   590
	newY := ((y + (gridY // 2)) // gridY) * gridY
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   591
    ].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   592
    ^ newX @ newY
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   593
!
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   594
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   595
quadrantContaining:aPoint
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   596
    "return the number of the quadrant containing aPoint placing  
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   597
     the receiver at the origin, where the quadrants are numbered as  
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   598
     follows:
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   599
	   ^    2  |  3
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   600
	   Y    ------
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   601
		1  |  0
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   602
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   603
		X >
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   604
     This can be used for polygon operations (see Foley for examples).
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   605
    "
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   606
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   607
     aPoint x > x ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   608
	 aPoint y >= y ifTrue:[^ 3].
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   609
	 ^ 0
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   610
     ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   611
     aPoint y >= y ifTrue: [^ 2].     
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   612
     ^ 1
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   613
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   614
     "
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   615
      (10 @ 10) quadrantContaining:(15 @ 15)
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   616
      (10 @ 10) quadrantContaining:(5 @ 5)    
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   617
      (10 @ 10) quadrantContaining:(5 @ 15)   
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   618
      (10 @ 10) quadrantContaining:(15 @ 5)  
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   619
     "
217
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   620
!
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   621
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   622
quadrant
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   623
    "return the number of the quadrant containing the receiver.
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   624
     quadrants are named as follows:
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   625
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   626
	   ^    2  |  3
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   627
	   Y    ------
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   628
		1  |  0
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   629
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   630
		X >
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   631
    "
a0400fdbc933 *** empty log message ***
claus
parents: 213
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   632
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   633
    ^ 0@0 quadrantContaining:self
276
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   634
!
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claus
parents: 217
diff changeset
   635
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parents: 217
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   636
nearestIntegerPointOnLineFrom: point1 to: point2 
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   637
    "return the closest integer point to the receiver on the line 
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   638
     determined by (point1, point2)--much faster than the more 
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   639
     accurate version if the receiver and arguments are integer points.
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   640
     This method was found in the Manchester goody library."
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   641
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   642
    | dX dY newX newY dX2 dY2 intersect scale coeff |
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   643
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   644
    dX := point2 x - point1 x.
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   645
    dY := point2 y - point1 y.
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   646
    (dX = 0)ifTrue: [
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   647
	(dY = 0) ifTrue: [
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   648
	    intersect := point1
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parents: 217
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   649
	] ifFalse: [
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   650
	    newX := point1 x.
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   651
	    scale := (y - point1 y) / dY.
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   652
	    newY := scale > 1 ifTrue: [
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parents: 217
diff changeset
   653
			point2 y
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diff changeset
   654
		    ] ifFalse: [
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   655
			scale < 0 ifTrue: [
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   656
			    point1 y
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parents: 217
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   657
			] ifFalse: [
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parents: 217
diff changeset
   658
			    y
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claus
parents: 217
diff changeset
   659
			]
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parents: 217
diff changeset
   660
		    ].
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parents: 217
diff changeset
   661
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diff changeset
   662
	    ^ (newX @ newY) rounded
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parents: 217
diff changeset
   663
	]
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parents: 217
diff changeset
   664
    ] ifFalse: [
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parents: 217
diff changeset
   665
	(dY = 0) ifTrue: [
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   666
	    intersect := x @ point1 y
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   667
	] ifFalse:[
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   668
	    dX2 := dX * dX.
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   669
	    dY2 := dY * dY.
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parents: 217
diff changeset
   670
	    coeff := ((dX * (y - point1 y)) - 
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parents: 217
diff changeset
   671
		     ((x - point1 x) * dY)) / (dX2 + dY2).
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parents: 217
diff changeset
   672
	    newX := x + (dY * coeff).
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diff changeset
   673
	    newY := y - (dX * coeff).
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diff changeset
   674
	    intersect := newX @ newY
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claus
parents: 217
diff changeset
   675
	]
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diff changeset
   676
    ].
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parents: 217
diff changeset
   677
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parents: 217
diff changeset
   678
    scale := (intersect x - point1 x) / dX.
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claus
parents: 217
diff changeset
   679
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claus
parents: 217
diff changeset
   680
    ^ (scale > 1 ifTrue: [point2] ifFalse: [
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claus
parents: 217
diff changeset
   681
      scale < 0 ifTrue: [point1] ifFalse: [intersect]]) rounded
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claus
parents: 217
diff changeset
   682
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claus
parents: 217
diff changeset
   683
    "
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parents: 217
diff changeset
   684
     120@40 nearestIntegerPointOnLineFrom: 30@120 to: 100@120 
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claus
parents: 217
diff changeset
   685
     0@0 nearestIntegerPointOnLineFrom: 10@10 to: 100@100 
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claus
parents: 217
diff changeset
   686
    "
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   687
! !
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claus
parents:
diff changeset
   688
a27a279701f8 Initial revision
claus
parents:
diff changeset
   689
!Point methodsFor:'printing & storing'!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   690
57
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claus
parents: 44
diff changeset
   691
printOn:aStream
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claus
parents: 44
diff changeset
   692
    "append a printed representation of the receiver to aStream"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   693
57
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claus
parents: 44
diff changeset
   694
    x printOn:aStream.
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claus
parents: 44
diff changeset
   695
    aStream nextPut:$@.
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claus
parents: 44
diff changeset
   696
    y printOn:aStream
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   697
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   698
57
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claus
parents: 44
diff changeset
   699
storeOn:aStream
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claus
parents: 44
diff changeset
   700
    "append my storeString to aStream"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   701
57
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claus
parents: 44
diff changeset
   702
    aStream nextPut:$(.
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claus
parents: 44
diff changeset
   703
    x storeOn:aStream.
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claus
parents: 44
diff changeset
   704
    aStream nextPut:$@.
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claus
parents: 44
diff changeset
   705
    y storeOn:aStream.
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claus
parents: 44
diff changeset
   706
    aStream nextPut:$)
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   707
! !