Point.st
author Claus Gittinger <cg@exept.de>
Fri, 17 Nov 1995 00:28:50 +0100
changeset 569 7134eb78cf48
parent 530 07d0bce293c9
child 637 f71df465819c
permissions -rw-r--r--
readFrom:onError: can now also read from a string
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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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'From Smalltalk/X, Version:2.10.5 on 23-may-1995 at 7:19:52 am'!
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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-Geometry'
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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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version
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    ^ '$Header: /cvs/stx/stx/libbasic/Point.st,v 1.29 1995-11-16 23:28:46 cg Exp $'
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!
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documentation
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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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!Point class methodsFor:'initialization'!
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initialize
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    PointZero isNil ifTrue:[
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	PointZero := 0 @ 0.
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	PointOne  := 1 @ 1
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    ]
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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 (_CanDoQuickNew(sizeof(struct __point))) {
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	if (self == Point) {
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	    OBJ newPoint;
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	    int spc;
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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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	    if (! __bothSmallInteger(newX, newY)) {
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		spc = __qSpace(newPoint);
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		__STORE_SPC(newPoint, newX, spc);
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		__STORE_SPC(newPoint, newY, spc);
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	    }
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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:aStringOrStream 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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    |str newX newY|
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    str := aStringOrStream readStream.
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    newX := Number readFrom:str onError:nil.
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    newX notNil ifTrue:[
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	(str skipSeparators == $@) ifTrue:[
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	    str  next.
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	    newY := Number readFrom:str onError:nil.
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	    newY notNil ifTrue:[
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		^ self x:newX y:newY
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	    ]
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	]
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    ].
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    ^ exceptionBlock value
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    "
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     Point readFrom:('1.234 @ 5.678' readStream)
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     Point readFrom:('1' readStream)
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     Point readFrom:('1' readStream) onError:[1@1]
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     Point readFrom:('fooBar' readStream) onError:[0@0]
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    "
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    "Modified: 16.11.1995 / 22:50:45 / cg"
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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 methodsFor:'misc'!
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rounded
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    "return a new point with my coordinates rounded to the next integer
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     coordinated (use for gridding) or the receiver of already rounded."
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    (x isInteger and:[y isInteger]) ifTrue:[^ self].
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    ^ (x rounded) @ (y rounded)
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!
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abs
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    "return a new point with my coordinates taken from the absolute values."
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    ^ (x abs) @ (y abs)
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!
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truncated
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    "return a new point with my coordinates truncated as integer or the
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     receiver, if already truncated."
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    (x isInteger and:[y isInteger]) ifTrue:[^ self].
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    ^ (x truncated) @ (y truncated)
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!
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quadrantContaining:aPoint
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    "return the number of the quadrant containing aPoint placing  
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     the receiver at the origin, where the quadrants are numbered as  
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     follows:
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	   ^    2  |  3
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	   Y    ------
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		1  |  0
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		X >
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     This can be used for polygon operations (see Foley for examples).
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    "
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     aPoint x > x ifTrue:[
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	 aPoint y >= y ifTrue:[^ 3].
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	 ^ 0
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     ].
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     aPoint y >= y ifTrue: [^ 2].     
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     ^ 1
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     "
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      (10 @ 10) quadrantContaining:(15 @ 15)
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      (10 @ 10) quadrantContaining:(5 @ 5)    
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      (10 @ 10) quadrantContaining:(5 @ 15)   
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      (10 @ 10) quadrantContaining:(15 @ 5)  
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     "
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quadrant
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    "return the number of the quadrant containing the receiver.
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     quadrants are named as follows:
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	   ^    2  |  3
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	   Y    ------
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		1  |  0
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		X >
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     Q: what is to be returned if any coordinate is 0 ?
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    "
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    ^ 0@0 quadrantContaining:self
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    "
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     (0@0) quadrant   
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     (1@1) quadrant    
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     (-1@1) quadrant    
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     (-1@-1) quadrant 
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     (1@-1) quadrant   
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    "
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! !
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!Point methodsFor:'converting'!
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extent:aPoint
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    "return a rectangle whose origin is self and extent is aPoint"
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    ^ Rectangle origin:self extent:aPoint
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!
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asPoint
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    "return the receiver as Point - this is the receiver"
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    ^ self
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!
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356
claus
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asLayout
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    "return a LayoutOrigin from the receiver.
claus
parents: 345
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     If the receiver coordinates are between 0 and 1, take
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parents: 345
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     them as fractional parts (relative to superview).
claus
parents: 345
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     Otherwise, treat them as absolute offsets.
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     Notice: in 10.5.x LayoutOrigin is not yet released."
claus
parents: 345
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claus
parents: 345
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    ^ LayoutOrigin fromPoint:self
claus
parents: 345
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claus
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    "
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     (0@0.5) asFractionalLayout 
claus
parents: 345
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     (0@0.5) asLayout           
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     (0@10) asLayout             
claus
parents: 345
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     (0@10) asOffsetLayout      
claus
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    "
claus
parents: 345
diff changeset
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claus
parents: 345
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!
claus
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claus
parents: 345
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asFractionalLayout
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parents: 345
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    "return a LayoutOrigin from the receiver,
claus
parents: 345
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     treating the receiver coordinates as fractional parts 
claus
parents: 345
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     (i.e. relative to superview).
claus
parents: 345
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     Notice: in 10.5.x LayoutOrigin is not yet officially released."
claus
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claus
parents: 345
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   264
    ^ LayoutOrigin fractionalFromPoint:self
claus
parents: 345
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claus
parents: 345
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    "
claus
parents: 345
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     (0@0.5) asFractionalLayout 
claus
parents: 345
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     (0@0.5) asLayout           
claus
parents: 345
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     (0@10) asLayout             
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     (0@10) asOffsetLayout      
claus
parents: 345
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    "
claus
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claus
parents: 345
diff changeset
   273
!
claus
parents: 345
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claus
parents: 345
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asOffsetLayout
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parents: 345
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    "return a LayoutOrigin from the receiver,
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     treating the receiver coordinates as absolute offsets. 
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parents: 345
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     Notice: in 10.5.x LayoutOrigin is not yet released."
claus
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claus
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   280
    ^ LayoutOrigin offsetFromPoint:self
claus
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claus
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    "
claus
parents: 345
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     (0@0.5) asFractionalLayout 
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     (0@0.5) asLayout           
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     (0@10) asLayout             
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     (0@10) asOffsetLayout      
claus
parents: 345
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    "
claus
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claus
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!
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parents: 345
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corner:aPoint
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    "return a rectangle whose origin is self and corner is aPoint"
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   293
claus
parents: 345
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    ^ Rectangle origin:self corner:aPoint
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parents: 345
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!
claus
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claus
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asRectangle
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    "return a zero-width rectangle consisting of origin 
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     and corner being the receiver"
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claus
parents: 345
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    ^ self corner:self
claus
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claus
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   303
    "
claus
parents: 345
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     (0@10) asRectangle             
claus
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    "
claus
parents: 345
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!
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claus
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rectangleRelativeTo:aRectangle preferred:prefRect
claus
parents: 345
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    "compute a displayRectangle, treating the receiver like a
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   310
     layoutorigin. This allows point to be used interchangable with
claus
parents: 345
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     LayoutOrigins."
claus
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claus
parents: 345
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    ^ (self asLayout) rectangleRelativeTo:aRectangle preferred:prefRect
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claus
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    "
claus
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     consider the case, where a view has a preferred extent of 50@50
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parents: 345
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   317
     and is to be positioned in its superview which has size 100@100.
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     For absolute origin:
claus
parents: 345
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	 (10@20) rectangleRelativeTo:(0@0 corner:100@100) preferred:(0@0 corner:50@50) 
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claus
parents: 345
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     for relative origin:
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parents: 345
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	 (0.5@0.5) rectangleRelativeTo:(0@0 corner:100@100) preferred:(0@0 corner:50@50) 
claus
parents: 345
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   323
    "
379
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claus
parents: 359
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!
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claus
parents: 359
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   325
421
claus
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literalArrayEncoding
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   327
    "encode myself as an array.
claus
parents: 384
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   328
     The encoding is: (Point xValue yValue)"
claus
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claus
parents: 384
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    ^ Array
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	with:#Point 
claus
parents: 384
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	with:x 
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parents: 384
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	with:y 
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claus
parents: 384
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claus
parents: 384
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    "
claus
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     Point new fromLiteralArrayEncoding:#(Point 10 20) 
claus
parents: 384
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     (10@20) literalArrayEncoding  
claus
parents: 384
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   339
    "
claus
parents: 384
diff changeset
   340
claus
parents: 384
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   341
    "Modified: 1.9.1995 / 02:18:29 / claus"
claus
parents: 384
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   342
!
claus
parents: 384
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379
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claus
parents: 359
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fromLiteralArrayEncoding:encoding
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    "read my values from an encoding.
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claus
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     The encoding is supposed to be of the form: (Point xValue yValue)"
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claus
parents: 359
diff changeset
   347
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claus
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    x := encoding at:2.
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claus
parents: 359
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    y := encoding at:3.
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claus
parents: 359
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claus
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    "
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claus
parents: 359
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     Point new fromLiteralArrayEncoding:#(Point 10 20)
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claus
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   353
    "
356
claus
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! !
claus
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claus
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   356
!Point methodsFor:'transformations'!
claus
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claus
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* scale 
claus
parents: 345
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   359
    "Return a new Point that is the product of the 
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parents: 345
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     receiver and scale (which is a Point or Number)."
claus
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claus
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    |scalePoint|
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diff changeset
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claus
parents: 345
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    "speedup for common cases ..."
claus
parents: 345
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claus
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    (scale isMemberOf:Point) ifTrue:[    
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parents: 345
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	^ (x * scale x) @ (y * scale y)
claus
parents: 345
diff changeset
   368
    ].
claus
parents: 345
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    (scale isMemberOf:SmallInteger) ifTrue:[
claus
parents: 345
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	^ (x * scale) @ (y * scale)
claus
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   371
    ].
claus
parents: 345
diff changeset
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    scale isNumber ifTrue:[
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parents: 345
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	^ (x * scale) @ (y * scale)
claus
parents: 345
diff changeset
   374
    ].
claus
parents: 345
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claus
parents: 345
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    "this is the general (& clean) code ..."
claus
parents: 345
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   377
claus
parents: 345
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    scalePoint := scale asPoint.
claus
parents: 345
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   379
    ^ (x * scalePoint x) @ (y * scalePoint y)
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claus
parents:
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!
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claus
parents:
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356
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parents: 345
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+ scale 
claus
parents: 345
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   383
    "Return a new Point that is the sum of the 
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parents: 345
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   384
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   385
claus
parents: 345
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   386
    |scalePoint|
claus
parents: 345
diff changeset
   387
claus
parents: 345
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    "speedup for common cases ..."
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claus
parents:
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356
claus
parents: 345
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    (scale isMemberOf:Point) ifTrue:[     
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parents: 345
diff changeset
   391
	^ (x + scale x) @ (y + scale y)
claus
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   392
    ].
claus
parents: 345
diff changeset
   393
    (scale isMemberOf:SmallInteger) ifTrue:[
claus
parents: 345
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   394
	^ (x + scale) @ (y + scale)
claus
parents: 345
diff changeset
   395
    ].
claus
parents: 345
diff changeset
   396
    scale isNumber ifTrue:[
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parents: 345
diff changeset
   397
	^ (x + scale) @ (y + scale)
claus
parents: 345
diff changeset
   398
    ].
claus
parents: 345
diff changeset
   399
claus
parents: 345
diff changeset
   400
    "this is the general (& clean) code ..."
claus
parents: 345
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   401
claus
parents: 345
diff changeset
   402
    scalePoint := scale asPoint.
claus
parents: 345
diff changeset
   403
    ^ (x + scalePoint x) @ (y + scalePoint y)
claus
parents: 345
diff changeset
   404
!
claus
parents: 345
diff changeset
   405
claus
parents: 345
diff changeset
   406
// scale 
claus
parents: 345
diff changeset
   407
    "Return a new Point that is the quotient of the 
claus
parents: 345
diff changeset
   408
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   409
claus
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    |scalePoint|
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diff changeset
   411
claus
parents: 345
diff changeset
   412
    scalePoint := scale asPoint.
claus
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diff changeset
   413
    ^ (x // scalePoint x) @ (y // scalePoint y)
1
a27a279701f8 Initial revision
claus
parents:
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   414
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   415
356
claus
parents: 345
diff changeset
   416
- scale 
claus
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diff changeset
   417
    "Return a new Point that is the difference of the 
claus
parents: 345
diff changeset
   418
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   419
claus
parents: 345
diff changeset
   420
    |scalePoint|
claus
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diff changeset
   421
claus
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diff changeset
   422
    "speedup for common cases ..."
claus
parents: 345
diff changeset
   423
claus
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diff changeset
   424
    (scale isMemberOf:Point) ifTrue:[     
claus
parents: 345
diff changeset
   425
	^ (x - scale x) @ (y - scale y)
claus
parents: 345
diff changeset
   426
    ].
claus
parents: 345
diff changeset
   427
    (scale isMemberOf:SmallInteger) ifTrue:[
claus
parents: 345
diff changeset
   428
	^ (x - scale) @ (y - scale)
claus
parents: 345
diff changeset
   429
    ].
claus
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   430
    scale isNumber ifTrue:[
claus
parents: 345
diff changeset
   431
	^ (x - scale) @ (y - scale)
claus
parents: 345
diff changeset
   432
    ].
claus
parents: 345
diff changeset
   433
claus
parents: 345
diff changeset
   434
    "this is the general (& clean) code ..."
claus
parents: 345
diff changeset
   435
claus
parents: 345
diff changeset
   436
    scalePoint := scale asPoint.
claus
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   437
    ^ (x - scalePoint x) @ (y - scalePoint y)
claus
parents: 345
diff changeset
   438
!
claus
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diff changeset
   439
claus
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diff changeset
   440
/ scale 
claus
parents: 345
diff changeset
   441
    "Return a new Point that is the integer quotient of the 
claus
parents: 345
diff changeset
   442
     receiver and scale (which is a Point or Number)."
claus
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diff changeset
   443
claus
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   444
    |scalePoint|
claus
parents: 345
diff changeset
   445
claus
parents: 345
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   446
    "speedup for common cases ..."
1
a27a279701f8 Initial revision
claus
parents:
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   447
356
claus
parents: 345
diff changeset
   448
    (scale isMemberOf:Point) ifTrue:[    
claus
parents: 345
diff changeset
   449
	^ (x / scale x) @ (y / scale y)
claus
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diff changeset
   450
    ].
claus
parents: 345
diff changeset
   451
    scale isNumber ifTrue:[
claus
parents: 345
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   452
	^ (x / scale) @ (y / scale)
claus
parents: 345
diff changeset
   453
    ].
claus
parents: 345
diff changeset
   454
claus
parents: 345
diff changeset
   455
    "this is the general (& clean) code ..."
claus
parents: 345
diff changeset
   456
claus
parents: 345
diff changeset
   457
    scalePoint := scale asPoint.
claus
parents: 345
diff changeset
   458
    ^ (x / scalePoint x) @ (y / scalePoint y)
claus
parents: 345
diff changeset
   459
!
claus
parents: 345
diff changeset
   460
claus
parents: 345
diff changeset
   461
negated
claus
parents: 345
diff changeset
   462
    "return a new point with my coordinates negated 
claus
parents: 345
diff changeset
   463
     i.e. the receiver mirrored at the origin"
claus
parents: 345
diff changeset
   464
claus
parents: 345
diff changeset
   465
    ^ (x negated) @ (y negated)
claus
parents: 345
diff changeset
   466
!
claus
parents: 345
diff changeset
   467
claus
parents: 345
diff changeset
   468
reciprocal
claus
parents: 345
diff changeset
   469
    "return a new point where the coordinates are
claus
parents: 345
diff changeset
   470
     the reciproce of mine"
claus
parents: 345
diff changeset
   471
claus
parents: 345
diff changeset
   472
    ^ (1 / x) @ (1 / y)
claus
parents: 345
diff changeset
   473
!
claus
parents: 345
diff changeset
   474
claus
parents: 345
diff changeset
   475
scaledBy:aScale
claus
parents: 345
diff changeset
   476
    "return a new Point that is the product of the 
claus
parents: 345
diff changeset
   477
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   478
claus
parents: 345
diff changeset
   479
    ^ self * aScale
claus
parents: 345
diff changeset
   480
!
claus
parents: 345
diff changeset
   481
claus
parents: 345
diff changeset
   482
translatedBy:anOffset
claus
parents: 345
diff changeset
   483
    "return a new Point that is the sum of the 
claus
parents: 345
diff changeset
   484
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   485
claus
parents: 345
diff changeset
   486
    ^ self + anOffset
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   487
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   488
a27a279701f8 Initial revision
claus
parents:
diff changeset
   489
!Point methodsFor:'comparing'!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   490
356
claus
parents: 345
diff changeset
   491
= aPoint
claus
parents: 345
diff changeset
   492
    "return true if the receiver represents the same point as
claus
parents: 345
diff changeset
   493
     the argument, aPoint"
claus
parents: 345
diff changeset
   494
claus
parents: 345
diff changeset
   495
    |p|
claus
parents: 345
diff changeset
   496
claus
parents: 345
diff changeset
   497
    (aPoint isMemberOf:Point) ifTrue:[     "this is a hint to STC"
claus
parents: 345
diff changeset
   498
	x ~= (aPoint x) ifTrue:[^ false].
claus
parents: 345
diff changeset
   499
	y ~= (aPoint y) ifTrue:[^ false].
claus
parents: 345
diff changeset
   500
	^ true
claus
parents: 345
diff changeset
   501
    ].
claus
parents: 345
diff changeset
   502
    aPoint respondsToArithmetic ifFalse:[ ^ false].
claus
parents: 345
diff changeset
   503
    p := aPoint asPoint.
claus
parents: 345
diff changeset
   504
    x ~= (p x) ifTrue:[^ false].
claus
parents: 345
diff changeset
   505
    y ~= (p y) ifTrue:[^ false].
claus
parents: 345
diff changeset
   506
    ^ true
claus
parents: 345
diff changeset
   507
!
claus
parents: 345
diff changeset
   508
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   509
hash
a27a279701f8 Initial revision
claus
parents:
diff changeset
   510
    "return a number for hashing"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   511
217
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   512
    x = y ifTrue:[^ x hash].
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   513
"
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   514
 used to be:
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   515
    ^ (x hash) bitXor:(y hash)
217
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   516
 the following handles 1@x vs. x@1 better:
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   517
"
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   518
    ^ (x hash) bitXor:(y hash bitShift:12)
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   519
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   520
a27a279701f8 Initial revision
claus
parents:
diff changeset
   521
< aPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   522
    "return true if the receiver is above and to the left
a27a279701f8 Initial revision
claus
parents:
diff changeset
   523
     of the argument, aPoint"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   524
a27a279701f8 Initial revision
claus
parents:
diff changeset
   525
    |p|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   526
a27a279701f8 Initial revision
claus
parents:
diff changeset
   527
    p := aPoint asPoint.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   528
    x >= (p x) ifTrue:[^ false].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   529
    y >= (p y) ifTrue:[^ false].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   530
    ^ true
a27a279701f8 Initial revision
claus
parents:
diff changeset
   531
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   532
a27a279701f8 Initial revision
claus
parents:
diff changeset
   533
> aPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   534
    "return true if  the receiver is below and to the right
a27a279701f8 Initial revision
claus
parents:
diff changeset
   535
     of the argument, aPoint"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   536
a27a279701f8 Initial revision
claus
parents:
diff changeset
   537
    |p|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   538
a27a279701f8 Initial revision
claus
parents:
diff changeset
   539
    p := aPoint asPoint.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   540
    x <= (p x) ifTrue:[^ false].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   541
    y <= (p y) ifTrue:[^ false].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   542
    ^ true
a27a279701f8 Initial revision
claus
parents:
diff changeset
   543
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   544
a27a279701f8 Initial revision
claus
parents:
diff changeset
   545
max:aPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   546
    "return the lower right corner of the rectangle uniquely defined by
a27a279701f8 Initial revision
claus
parents:
diff changeset
   547
     the receiver and the argument, aPoint"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   548
a27a279701f8 Initial revision
claus
parents:
diff changeset
   549
    |p maxX maxY|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   550
a27a279701f8 Initial revision
claus
parents:
diff changeset
   551
    p := aPoint asPoint.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   552
    maxX := x max:(p x).
a27a279701f8 Initial revision
claus
parents:
diff changeset
   553
    maxY := y max:(p y).
a27a279701f8 Initial revision
claus
parents:
diff changeset
   554
    ^ maxX @ maxY
a27a279701f8 Initial revision
claus
parents:
diff changeset
   555
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   556
a27a279701f8 Initial revision
claus
parents:
diff changeset
   557
min:aPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   558
    "return the upper left corner of the rectangle uniquely defined by
a27a279701f8 Initial revision
claus
parents:
diff changeset
   559
     the receiver and the argument, aPoint"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   560
a27a279701f8 Initial revision
claus
parents:
diff changeset
   561
    |p minX minY|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   562
a27a279701f8 Initial revision
claus
parents:
diff changeset
   563
    p := aPoint asPoint.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   564
    minX := x min:(p x).
a27a279701f8 Initial revision
claus
parents:
diff changeset
   565
    minY := y min:(p y).
a27a279701f8 Initial revision
claus
parents:
diff changeset
   566
    ^ minX @ minY
a27a279701f8 Initial revision
claus
parents:
diff changeset
   567
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   568
356
claus
parents: 345
diff changeset
   569
!Point methodsFor:'accessing'!
claus
parents: 345
diff changeset
   570
claus
parents: 345
diff changeset
   571
x
claus
parents: 345
diff changeset
   572
    "return the x coordinate"
claus
parents: 345
diff changeset
   573
claus
parents: 345
diff changeset
   574
    ^ x
claus
parents: 345
diff changeset
   575
!
claus
parents: 345
diff changeset
   576
claus
parents: 345
diff changeset
   577
y
claus
parents: 345
diff changeset
   578
    "return the y coordinate"
claus
parents: 345
diff changeset
   579
claus
parents: 345
diff changeset
   580
    ^ y
claus
parents: 345
diff changeset
   581
!
claus
parents: 345
diff changeset
   582
claus
parents: 345
diff changeset
   583
y:newY
claus
parents: 345
diff changeset
   584
    "set the y coordinate to be the argument, aNumber.
claus
parents: 345
diff changeset
   585
     This is destructive (modifies the receiver, not a copy) and 
claus
parents: 345
diff changeset
   586
     should only be used if you know, that you are the exclusive owner 
claus
parents: 345
diff changeset
   587
     of the receiver."
claus
parents: 345
diff changeset
   588
claus
parents: 345
diff changeset
   589
    y := newY
claus
parents: 345
diff changeset
   590
!
claus
parents: 345
diff changeset
   591
claus
parents: 345
diff changeset
   592
x:newX
claus
parents: 345
diff changeset
   593
    "set the x coordinate to be the argument, aNumber.
claus
parents: 345
diff changeset
   594
     This is destructive (modifies the receiver, not a copy) and 
claus
parents: 345
diff changeset
   595
     should only be used if you know, that you are the exclusive owner 
claus
parents: 345
diff changeset
   596
     of the receiver."
claus
parents: 345
diff changeset
   597
claus
parents: 345
diff changeset
   598
    x := newX
claus
parents: 345
diff changeset
   599
!
claus
parents: 345
diff changeset
   600
claus
parents: 345
diff changeset
   601
x:newX y:newY
claus
parents: 345
diff changeset
   602
    "set both the x and y coordinates.
claus
parents: 345
diff changeset
   603
     This is destructive (modifies the receiver, not a copy) and 
claus
parents: 345
diff changeset
   604
     should only be used if you know, that you are the exclusive owner 
claus
parents: 345
diff changeset
   605
     of the receiver."
claus
parents: 345
diff changeset
   606
claus
parents: 345
diff changeset
   607
    x := newX.
claus
parents: 345
diff changeset
   608
    y := newY
claus
parents: 345
diff changeset
   609
! !
claus
parents: 345
diff changeset
   610
claus
parents: 345
diff changeset
   611
!Point methodsFor:'coercing'!
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   612
a27a279701f8 Initial revision
claus
parents:
diff changeset
   613
generality
40
a1defe2846d6 *** empty log message ***
claus
parents: 13
diff changeset
   614
    "return the generality value - see ArithmeticValue>>retry:coercing:"
a1defe2846d6 *** empty log message ***
claus
parents: 13
diff changeset
   615
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   616
    ^ 120
a27a279701f8 Initial revision
claus
parents:
diff changeset
   617
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   618
a27a279701f8 Initial revision
claus
parents:
diff changeset
   619
coerce:anObject
40
a1defe2846d6 *** empty log message ***
claus
parents: 13
diff changeset
   620
    "return aNumber converted into receivers type"
a1defe2846d6 *** empty log message ***
claus
parents: 13
diff changeset
   621
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   622
    ^ anObject asPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   623
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   624
356
claus
parents: 345
diff changeset
   625
!Point methodsFor:'queries'!
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   626
356
claus
parents: 345
diff changeset
   627
isPoint
claus
parents: 345
diff changeset
   628
    "return true, if the receiver is some kind of point"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   629
356
claus
parents: 345
diff changeset
   630
    ^ true
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   631
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   632
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   633
!Point methodsFor:'destructive transformations'!
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   634
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   635
scaleBy:aScale
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   636
    "scale the receiver, by replacing coordinates by the product
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   637
     of the receivers coordinates and the scale (a Point or Number).
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   638
     This is destructive (modifies the receiver, not a copy) and 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   639
     should only be used if you know, that you are the exclusive owner 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   640
     of the receiver."
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   641
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   642
    |scalePoint|
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   643
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   644
    (aScale isMemberOf:Point) ifTrue:[  "type hint to stc"  
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   645
	x := x * aScale x.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   646
	y := y * aScale y.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   647
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   648
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   649
    aScale isNumber ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   650
	x := x * aScale.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   651
	y := y * aScale.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   652
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   653
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   654
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   655
    "this is the general (& clean) code ..."
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   656
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   657
    scalePoint := aScale asPoint.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   658
    x := x * scalePoint x.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   659
    y := y * scalePoint y
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   660
!
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   661
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   662
translateBy:anOffset
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   663
    "translate the receiver, by replacing coordinates by the sum
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   664
     of the receivers coordinated and the scale (a Point or Number).
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   665
     This is destructive (modifies the receiver, not a copy) and 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   666
     should only be used if you know, that you are the exclusive owner 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   667
     of the receiver."
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   668
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   669
    |offsetPoint|
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   670
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   671
    (anOffset isMemberOf:Point) ifTrue:[ "type hint to stc"   
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   672
	x := x + anOffset x.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   673
	y := y + anOffset y.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   674
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   675
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   676
    anOffset isNumber ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   677
	x := x + anOffset.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   678
	y := y + anOffset.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   679
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   680
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   681
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   682
    "this is the general (& clean) code ..."
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   683
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   684
    offsetPoint := anOffset asPoint.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   685
    x := x + anOffset x.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   686
    y := y + anOffset y
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   687
! !
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   688
356
claus
parents: 345
diff changeset
   689
!Point methodsFor:'printing & storing'!
claus
parents: 345
diff changeset
   690
claus
parents: 345
diff changeset
   691
printOn:aStream
claus
parents: 345
diff changeset
   692
    "append a printed representation of the receiver to aStream"
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   693
356
claus
parents: 345
diff changeset
   694
    x printOn:aStream.
claus
parents: 345
diff changeset
   695
    aStream nextPut:$@.
claus
parents: 345
diff changeset
   696
    y printOn:aStream
claus
parents: 345
diff changeset
   697
!
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   698
356
claus
parents: 345
diff changeset
   699
storeOn:aStream
claus
parents: 345
diff changeset
   700
    "append my storeString to aStream"
claus
parents: 345
diff changeset
   701
claus
parents: 345
diff changeset
   702
    aStream nextPut:$(.
claus
parents: 345
diff changeset
   703
    x storeOn:aStream.
claus
parents: 345
diff changeset
   704
    aStream nextPut:$@.
claus
parents: 345
diff changeset
   705
    y storeOn:aStream.
claus
parents: 345
diff changeset
   706
    aStream nextPut:$)
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   707
! !
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   708
356
claus
parents: 345
diff changeset
   709
!Point methodsFor:'point functions'!
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   710
a27a279701f8 Initial revision
claus
parents:
diff changeset
   711
dist:aPoint 
a27a279701f8 Initial revision
claus
parents:
diff changeset
   712
    "return the distance between aPoint and the receiver."
a27a279701f8 Initial revision
claus
parents:
diff changeset
   713
a27a279701f8 Initial revision
claus
parents:
diff changeset
   714
    ^ (aPoint - self) r
a27a279701f8 Initial revision
claus
parents:
diff changeset
   715
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   716
a27a279701f8 Initial revision
claus
parents:
diff changeset
   717
dotProduct:aPoint 
57
db9677479d35 *** empty log message ***
claus
parents: 44
diff changeset
   718
    "return a number that is the dot product of the receiver and
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   719
     the argument, aPoint.  That is, the two points are
57
db9677479d35 *** empty log message ***
claus
parents: 44
diff changeset
   720
     multiplied and the coordinates of the result summed."
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   721
a27a279701f8 Initial revision
claus
parents:
diff changeset
   722
    |temp|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   723
a27a279701f8 Initial revision
claus
parents:
diff changeset
   724
    temp := self * aPoint.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   725
    ^ temp x abs + temp y abs
a27a279701f8 Initial revision
claus
parents:
diff changeset
   726
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   727
a27a279701f8 Initial revision
claus
parents:
diff changeset
   728
grid:gridPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   729
    "return a new point with coordinates grided (i.e. rounded to the
a27a279701f8 Initial revision
claus
parents:
diff changeset
   730
     nearest point on the grid)"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   731
a27a279701f8 Initial revision
claus
parents:
diff changeset
   732
    |newX newY gridX gridY|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   733
a27a279701f8 Initial revision
claus
parents:
diff changeset
   734
    gridX := gridPoint x.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   735
    (gridX <= 1) ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   736
	newX := x asInteger
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   737
    ] ifFalse:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   738
	newX := ((x + (gridX // 2)) // gridX) * gridX
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   739
    ].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   740
    gridY := gridPoint y.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   741
    (gridY <= 1) ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   742
	newY := y asInteger
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   743
    ] ifFalse:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   744
	newY := ((y + (gridY // 2)) // gridY) * gridY
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   745
    ].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   746
    ^ newX @ newY
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   747
!
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   748
276
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   749
nearestIntegerPointOnLineFrom: point1 to: point2 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   750
    "return the closest integer point to the receiver on the line 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   751
     determined by (point1, point2)--much faster than the more 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   752
     accurate version if the receiver and arguments are integer points.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   753
     This method was found in the Manchester goody library."
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   754
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   755
    | dX dY newX newY dX2 dY2 intersect scale coeff |
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   756
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   757
    dX := point2 x - point1 x.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   758
    dY := point2 y - point1 y.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   759
    (dX = 0)ifTrue: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   760
	(dY = 0) ifTrue: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   761
	    intersect := point1
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   762
	] ifFalse: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   763
	    newX := point1 x.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   764
	    scale := (y - point1 y) / dY.
359
claus
parents: 356
diff changeset
   765
	    scale > 1 ifTrue:[
claus
parents: 356
diff changeset
   766
		newY := point2 y
claus
parents: 356
diff changeset
   767
	    ] ifFalse: [
claus
parents: 356
diff changeset
   768
		scale < 0 ifTrue: [
claus
parents: 356
diff changeset
   769
		    newY := point1 y
claus
parents: 356
diff changeset
   770
		] ifFalse: [
claus
parents: 356
diff changeset
   771
		    newY := y
claus
parents: 356
diff changeset
   772
		]
claus
parents: 356
diff changeset
   773
	    ].
276
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   774
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   775
	    ^ (newX @ newY) rounded
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   776
	]
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   777
    ] ifFalse: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   778
	(dY = 0) ifTrue: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   779
	    intersect := x @ point1 y
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   780
	] ifFalse:[
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   781
	    dX2 := dX * dX.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   782
	    dY2 := dY * dY.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   783
	    coeff := ((dX * (y - point1 y)) - 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   784
		     ((x - point1 x) * dY)) / (dX2 + dY2).
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   785
	    newX := x + (dY * coeff).
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   786
	    newY := y - (dX * coeff).
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   787
	    intersect := newX @ newY
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   788
	]
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   789
    ].
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   790
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   791
    scale := (intersect x - point1 x) / dX.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   792
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   793
    ^ (scale > 1 ifTrue: [point2] ifFalse: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   794
      scale < 0 ifTrue: [point1] ifFalse: [intersect]]) rounded
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   795
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   796
    "
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   797
     120@40 nearestIntegerPointOnLineFrom: 30@120 to: 100@120 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   798
     0@0 nearestIntegerPointOnLineFrom: 10@10 to: 100@100 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   799
    "
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   800
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   801
356
claus
parents: 345
diff changeset
   802
!Point methodsFor:'polar coordinates'!
claus
parents: 345
diff changeset
   803
claus
parents: 345
diff changeset
   804
r
claus
parents: 345
diff changeset
   805
    "return the receiver's radius in a polar coordinate system.
claus
parents: 345
diff changeset
   806
     (i.e. the length of a vector from 0@0 to the receiver)"
claus
parents: 345
diff changeset
   807
claus
parents: 345
diff changeset
   808
    ^ (self dotProduct:self) sqrt
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   809
356
claus
parents: 345
diff changeset
   810
    "
claus
parents: 345
diff changeset
   811
     (1@1) r    
claus
parents: 345
diff changeset
   812
     (2@1) r     
claus
parents: 345
diff changeset
   813
     (2@0) r    
claus
parents: 345
diff changeset
   814
     (0@2) r    
claus
parents: 345
diff changeset
   815
     (-2@-2) r    
claus
parents: 345
diff changeset
   816
     (2@2) r    
claus
parents: 345
diff changeset
   817
    "
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   818
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   819
356
claus
parents: 345
diff changeset
   820
angle 
claus
parents: 345
diff changeset
   821
    "return the receiver's angle (in radians) in a polar coordinate system.
claus
parents: 345
diff changeset
   822
     (i.e. the angle of a vector from 0@0 to the receiver).
claus
parents: 345
diff changeset
   823
    OBSOLETE ST/X interface; use theta for ST-80 compatibility."
claus
parents: 345
diff changeset
   824
claus
parents: 345
diff changeset
   825
    ^ self theta
claus
parents: 345
diff changeset
   826
claus
parents: 345
diff changeset
   827
    "
claus
parents: 345
diff changeset
   828
     (1@1) angle radiansToDegrees    
claus
parents: 345
diff changeset
   829
     (2@1) angle radiansToDegrees   
claus
parents: 345
diff changeset
   830
    "
claus
parents: 345
diff changeset
   831
!
claus
parents: 345
diff changeset
   832
claus
parents: 345
diff changeset
   833
theta 
claus
parents: 345
diff changeset
   834
    "return the receiver's angle (in radians) in a polar coordinate system.
claus
parents: 345
diff changeset
   835
     (i.e. the angle of a vector from 0@0 to the receiver)"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   836
356
claus
parents: 345
diff changeset
   837
    y < 0 ifTrue:[
claus
parents: 345
diff changeset
   838
	x < 0 ifTrue:[
claus
parents: 345
diff changeset
   839
	    ^  270 degreesToRadians - (y / x) arcTan
claus
parents: 345
diff changeset
   840
	].
claus
parents: 345
diff changeset
   841
	x = 0 ifTrue:[
claus
parents: 345
diff changeset
   842
	    ^ 180
claus
parents: 345
diff changeset
   843
	].
claus
parents: 345
diff changeset
   844
	^ 360 degreesToRadians - (y abs / x) arcTan
claus
parents: 345
diff changeset
   845
    ].
claus
parents: 345
diff changeset
   846
    x < 0 ifTrue:[
claus
parents: 345
diff changeset
   847
	^ 180 degreesToRadians - (y / x abs) arcTan 
claus
parents: 345
diff changeset
   848
    ].
claus
parents: 345
diff changeset
   849
    x = 0 ifTrue:[
claus
parents: 345
diff changeset
   850
	^ 0
claus
parents: 345
diff changeset
   851
    ].
claus
parents: 345
diff changeset
   852
    ^ (y / x) arcTan
claus
parents: 345
diff changeset
   853
claus
parents: 345
diff changeset
   854
    "
claus
parents: 345
diff changeset
   855
     (1@1) theta radiansToDegrees    
claus
parents: 345
diff changeset
   856
     (2@1) theta radiansToDegrees   
claus
parents: 345
diff changeset
   857
    "
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   858
! !
356
claus
parents: 345
diff changeset
   859
claus
parents: 345
diff changeset
   860
Point initialize!