Point.st
author claus
Thu, 10 Aug 1995 14:32:31 +0200
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parent 359 b8df66983eff
child 384 cc3d110ea879
permissions -rw-r--r--
revision added
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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 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 1.25 1995-08-10 12:30:17 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 1.25 1995-08-10 12:30:17 claus Exp $
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$Revision: 1.25 $
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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: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:nil.
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    newX notNil ifTrue:[
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	(aStream skipSeparators == $@) ifTrue:[
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	    aStream next.
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	    newY := Number readFrom:aStream 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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! !
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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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asLayout
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    "return a LayoutOrigin from the receiver.
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parents: 345
diff changeset
   248
     If the receiver coordinates are between 0 and 1, take
claus
parents: 345
diff changeset
   249
     them as fractional parts (relative to superview).
claus
parents: 345
diff changeset
   250
     Otherwise, treat them as absolute offsets.
claus
parents: 345
diff changeset
   251
     Notice: in 10.5.x LayoutOrigin is not yet released."
claus
parents: 345
diff changeset
   252
claus
parents: 345
diff changeset
   253
    ^ LayoutOrigin fromPoint:self
claus
parents: 345
diff changeset
   254
claus
parents: 345
diff changeset
   255
    "
claus
parents: 345
diff changeset
   256
     (0@0.5) asFractionalLayout 
claus
parents: 345
diff changeset
   257
     (0@0.5) asLayout           
claus
parents: 345
diff changeset
   258
     (0@10) asLayout             
claus
parents: 345
diff changeset
   259
     (0@10) asOffsetLayout      
claus
parents: 345
diff changeset
   260
    "
claus
parents: 345
diff changeset
   261
claus
parents: 345
diff changeset
   262
!
claus
parents: 345
diff changeset
   263
claus
parents: 345
diff changeset
   264
asFractionalLayout
claus
parents: 345
diff changeset
   265
    "return a LayoutOrigin from the receiver,
claus
parents: 345
diff changeset
   266
     treating the receiver coordinates as fractional parts 
claus
parents: 345
diff changeset
   267
     (i.e. relative to superview).
claus
parents: 345
diff changeset
   268
     Notice: in 10.5.x LayoutOrigin is not yet officially released."
claus
parents: 345
diff changeset
   269
claus
parents: 345
diff changeset
   270
    ^ LayoutOrigin fractionalFromPoint:self
claus
parents: 345
diff changeset
   271
claus
parents: 345
diff changeset
   272
    "
claus
parents: 345
diff changeset
   273
     (0@0.5) asFractionalLayout 
claus
parents: 345
diff changeset
   274
     (0@0.5) asLayout           
claus
parents: 345
diff changeset
   275
     (0@10) asLayout             
claus
parents: 345
diff changeset
   276
     (0@10) asOffsetLayout      
claus
parents: 345
diff changeset
   277
    "
claus
parents: 345
diff changeset
   278
claus
parents: 345
diff changeset
   279
!
claus
parents: 345
diff changeset
   280
claus
parents: 345
diff changeset
   281
asOffsetLayout
claus
parents: 345
diff changeset
   282
    "return a LayoutOrigin from the receiver,
claus
parents: 345
diff changeset
   283
     treating the receiver coordinates as absolute offsets. 
claus
parents: 345
diff changeset
   284
     Notice: in 10.5.x LayoutOrigin is not yet released."
claus
parents: 345
diff changeset
   285
claus
parents: 345
diff changeset
   286
    ^ LayoutOrigin offsetFromPoint:self
claus
parents: 345
diff changeset
   287
claus
parents: 345
diff changeset
   288
    "
claus
parents: 345
diff changeset
   289
     (0@0.5) asFractionalLayout 
claus
parents: 345
diff changeset
   290
     (0@0.5) asLayout           
claus
parents: 345
diff changeset
   291
     (0@10) asLayout             
claus
parents: 345
diff changeset
   292
     (0@10) asOffsetLayout      
claus
parents: 345
diff changeset
   293
    "
claus
parents: 345
diff changeset
   294
1
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claus
parents:
diff changeset
   295
!
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claus
parents:
diff changeset
   296
356
claus
parents: 345
diff changeset
   297
corner:aPoint
claus
parents: 345
diff changeset
   298
    "return a rectangle whose origin is self and corner is aPoint"
claus
parents: 345
diff changeset
   299
claus
parents: 345
diff changeset
   300
    ^ Rectangle origin:self corner:aPoint
claus
parents: 345
diff changeset
   301
!
claus
parents: 345
diff changeset
   302
claus
parents: 345
diff changeset
   303
asRectangle
claus
parents: 345
diff changeset
   304
    "return a zero-width rectangle consisting of origin 
claus
parents: 345
diff changeset
   305
     and corner being the receiver"
claus
parents: 345
diff changeset
   306
claus
parents: 345
diff changeset
   307
    ^ self corner:self
claus
parents: 345
diff changeset
   308
claus
parents: 345
diff changeset
   309
    "
claus
parents: 345
diff changeset
   310
     (0@10) asRectangle             
claus
parents: 345
diff changeset
   311
    "
claus
parents: 345
diff changeset
   312
!
claus
parents: 345
diff changeset
   313
claus
parents: 345
diff changeset
   314
rectangleRelativeTo:aRectangle preferred:prefRect
claus
parents: 345
diff changeset
   315
    "compute a displayRectangle, treating the receiver like a
claus
parents: 345
diff changeset
   316
     layoutorigin. This allows point to be used interchangable with
claus
parents: 345
diff changeset
   317
     LayoutOrigins."
claus
parents: 345
diff changeset
   318
claus
parents: 345
diff changeset
   319
    ^ (self asLayout) rectangleRelativeTo:aRectangle preferred:prefRect
claus
parents: 345
diff changeset
   320
claus
parents: 345
diff changeset
   321
    "
claus
parents: 345
diff changeset
   322
     consider the case, where a view has a preferred extent of 50@50
claus
parents: 345
diff changeset
   323
     and is to be positioned in its superview which has size 100@100.
claus
parents: 345
diff changeset
   324
     For absolute origin:
claus
parents: 345
diff changeset
   325
	 (10@20) rectangleRelativeTo:(0@0 corner:100@100) preferred:(0@0 corner:50@50) 
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   326
356
claus
parents: 345
diff changeset
   327
     for relative origin:
claus
parents: 345
diff changeset
   328
	 (0.5@0.5) rectangleRelativeTo:(0@0 corner:100@100) preferred:(0@0 corner:50@50) 
claus
parents: 345
diff changeset
   329
    "
379
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   330
!
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   331
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   332
fromLiteralArrayEncoding:encoding
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   333
    "read my values from an encoding.
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   334
     The encoding is supposed to be of the form: (Point xValue yValue)"
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   335
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   336
    x := encoding at:2.
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   337
    y := encoding at:3.
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   338
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   339
    "
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   340
     Point new fromLiteralArrayEncoding:#(Point 10 20)
5b5a130ccd09 revision added
claus
parents: 359
diff changeset
   341
    "
356
claus
parents: 345
diff changeset
   342
! !
claus
parents: 345
diff changeset
   343
claus
parents: 345
diff changeset
   344
!Point methodsFor:'transformations'!
claus
parents: 345
diff changeset
   345
claus
parents: 345
diff changeset
   346
* scale 
claus
parents: 345
diff changeset
   347
    "Return a new Point that is the product of the 
claus
parents: 345
diff changeset
   348
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   349
claus
parents: 345
diff changeset
   350
    |scalePoint|
claus
parents: 345
diff changeset
   351
claus
parents: 345
diff changeset
   352
    "speedup for common cases ..."
claus
parents: 345
diff changeset
   353
claus
parents: 345
diff changeset
   354
    (scale isMemberOf:Point) ifTrue:[    
claus
parents: 345
diff changeset
   355
	^ (x * scale x) @ (y * scale y)
claus
parents: 345
diff changeset
   356
    ].
claus
parents: 345
diff changeset
   357
    (scale isMemberOf:SmallInteger) ifTrue:[
claus
parents: 345
diff changeset
   358
	^ (x * scale) @ (y * scale)
claus
parents: 345
diff changeset
   359
    ].
claus
parents: 345
diff changeset
   360
    scale isNumber ifTrue:[
claus
parents: 345
diff changeset
   361
	^ (x * scale) @ (y * scale)
claus
parents: 345
diff changeset
   362
    ].
claus
parents: 345
diff changeset
   363
claus
parents: 345
diff changeset
   364
    "this is the general (& clean) code ..."
claus
parents: 345
diff changeset
   365
claus
parents: 345
diff changeset
   366
    scalePoint := scale asPoint.
claus
parents: 345
diff changeset
   367
    ^ (x * scalePoint x) @ (y * scalePoint y)
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   368
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   369
356
claus
parents: 345
diff changeset
   370
+ scale 
claus
parents: 345
diff changeset
   371
    "Return a new Point that is the sum of the 
claus
parents: 345
diff changeset
   372
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   373
claus
parents: 345
diff changeset
   374
    |scalePoint|
claus
parents: 345
diff changeset
   375
claus
parents: 345
diff changeset
   376
    "speedup for common cases ..."
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   377
356
claus
parents: 345
diff changeset
   378
    (scale isMemberOf:Point) ifTrue:[     
claus
parents: 345
diff changeset
   379
	^ (x + scale x) @ (y + scale y)
claus
parents: 345
diff changeset
   380
    ].
claus
parents: 345
diff changeset
   381
    (scale isMemberOf:SmallInteger) ifTrue:[
claus
parents: 345
diff changeset
   382
	^ (x + scale) @ (y + scale)
claus
parents: 345
diff changeset
   383
    ].
claus
parents: 345
diff changeset
   384
    scale isNumber ifTrue:[
claus
parents: 345
diff changeset
   385
	^ (x + scale) @ (y + scale)
claus
parents: 345
diff changeset
   386
    ].
claus
parents: 345
diff changeset
   387
claus
parents: 345
diff changeset
   388
    "this is the general (& clean) code ..."
claus
parents: 345
diff changeset
   389
claus
parents: 345
diff changeset
   390
    scalePoint := scale asPoint.
claus
parents: 345
diff changeset
   391
    ^ (x + scalePoint x) @ (y + scalePoint y)
claus
parents: 345
diff changeset
   392
!
claus
parents: 345
diff changeset
   393
claus
parents: 345
diff changeset
   394
// scale 
claus
parents: 345
diff changeset
   395
    "Return a new Point that is the quotient of the 
claus
parents: 345
diff changeset
   396
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   397
claus
parents: 345
diff changeset
   398
    |scalePoint|
claus
parents: 345
diff changeset
   399
claus
parents: 345
diff changeset
   400
    scalePoint := scale asPoint.
claus
parents: 345
diff changeset
   401
    ^ (x // scalePoint x) @ (y // scalePoint y)
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   402
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   403
356
claus
parents: 345
diff changeset
   404
- scale 
claus
parents: 345
diff changeset
   405
    "Return a new Point that is the difference of the 
claus
parents: 345
diff changeset
   406
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   407
claus
parents: 345
diff changeset
   408
    |scalePoint|
claus
parents: 345
diff changeset
   409
claus
parents: 345
diff changeset
   410
    "speedup for common cases ..."
claus
parents: 345
diff changeset
   411
claus
parents: 345
diff changeset
   412
    (scale isMemberOf:Point) ifTrue:[     
claus
parents: 345
diff changeset
   413
	^ (x - scale x) @ (y - scale y)
claus
parents: 345
diff changeset
   414
    ].
claus
parents: 345
diff changeset
   415
    (scale isMemberOf:SmallInteger) ifTrue:[
claus
parents: 345
diff changeset
   416
	^ (x - scale) @ (y - scale)
claus
parents: 345
diff changeset
   417
    ].
claus
parents: 345
diff changeset
   418
    scale isNumber ifTrue:[
claus
parents: 345
diff changeset
   419
	^ (x - scale) @ (y - scale)
claus
parents: 345
diff changeset
   420
    ].
claus
parents: 345
diff changeset
   421
claus
parents: 345
diff changeset
   422
    "this is the general (& clean) code ..."
claus
parents: 345
diff changeset
   423
claus
parents: 345
diff changeset
   424
    scalePoint := scale asPoint.
claus
parents: 345
diff changeset
   425
    ^ (x - scalePoint x) @ (y - scalePoint y)
claus
parents: 345
diff changeset
   426
!
claus
parents: 345
diff changeset
   427
claus
parents: 345
diff changeset
   428
/ scale 
claus
parents: 345
diff changeset
   429
    "Return a new Point that is the integer quotient of the 
claus
parents: 345
diff changeset
   430
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   431
claus
parents: 345
diff changeset
   432
    |scalePoint|
claus
parents: 345
diff changeset
   433
claus
parents: 345
diff changeset
   434
    "speedup for common cases ..."
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   435
356
claus
parents: 345
diff changeset
   436
    (scale isMemberOf:Point) ifTrue:[    
claus
parents: 345
diff changeset
   437
	^ (x / scale x) @ (y / scale y)
claus
parents: 345
diff changeset
   438
    ].
claus
parents: 345
diff changeset
   439
    scale isNumber ifTrue:[
claus
parents: 345
diff changeset
   440
	^ (x / scale) @ (y / scale)
claus
parents: 345
diff changeset
   441
    ].
claus
parents: 345
diff changeset
   442
claus
parents: 345
diff changeset
   443
    "this is the general (& clean) code ..."
claus
parents: 345
diff changeset
   444
claus
parents: 345
diff changeset
   445
    scalePoint := scale asPoint.
claus
parents: 345
diff changeset
   446
    ^ (x / scalePoint x) @ (y / scalePoint y)
claus
parents: 345
diff changeset
   447
!
claus
parents: 345
diff changeset
   448
claus
parents: 345
diff changeset
   449
negated
claus
parents: 345
diff changeset
   450
    "return a new point with my coordinates negated 
claus
parents: 345
diff changeset
   451
     i.e. the receiver mirrored at the origin"
claus
parents: 345
diff changeset
   452
claus
parents: 345
diff changeset
   453
    ^ (x negated) @ (y negated)
claus
parents: 345
diff changeset
   454
!
claus
parents: 345
diff changeset
   455
claus
parents: 345
diff changeset
   456
reciprocal
claus
parents: 345
diff changeset
   457
    "return a new point where the coordinates are
claus
parents: 345
diff changeset
   458
     the reciproce of mine"
claus
parents: 345
diff changeset
   459
claus
parents: 345
diff changeset
   460
    ^ (1 / x) @ (1 / y)
claus
parents: 345
diff changeset
   461
!
claus
parents: 345
diff changeset
   462
claus
parents: 345
diff changeset
   463
scaledBy:aScale
claus
parents: 345
diff changeset
   464
    "return a new Point that is the product of the 
claus
parents: 345
diff changeset
   465
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   466
claus
parents: 345
diff changeset
   467
    ^ self * aScale
claus
parents: 345
diff changeset
   468
!
claus
parents: 345
diff changeset
   469
claus
parents: 345
diff changeset
   470
translatedBy:anOffset
claus
parents: 345
diff changeset
   471
    "return a new Point that is the sum of the 
claus
parents: 345
diff changeset
   472
     receiver and scale (which is a Point or Number)."
claus
parents: 345
diff changeset
   473
claus
parents: 345
diff changeset
   474
    ^ self + anOffset
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   475
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   476
a27a279701f8 Initial revision
claus
parents:
diff changeset
   477
!Point methodsFor:'comparing'!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   478
356
claus
parents: 345
diff changeset
   479
= aPoint
claus
parents: 345
diff changeset
   480
    "return true if the receiver represents the same point as
claus
parents: 345
diff changeset
   481
     the argument, aPoint"
claus
parents: 345
diff changeset
   482
claus
parents: 345
diff changeset
   483
    |p|
claus
parents: 345
diff changeset
   484
claus
parents: 345
diff changeset
   485
    (aPoint isMemberOf:Point) ifTrue:[     "this is a hint to STC"
claus
parents: 345
diff changeset
   486
	x ~= (aPoint x) ifTrue:[^ false].
claus
parents: 345
diff changeset
   487
	y ~= (aPoint y) ifTrue:[^ false].
claus
parents: 345
diff changeset
   488
	^ true
claus
parents: 345
diff changeset
   489
    ].
claus
parents: 345
diff changeset
   490
    aPoint respondsToArithmetic ifFalse:[ ^ false].
claus
parents: 345
diff changeset
   491
    p := aPoint asPoint.
claus
parents: 345
diff changeset
   492
    x ~= (p x) ifTrue:[^ false].
claus
parents: 345
diff changeset
   493
    y ~= (p y) ifTrue:[^ false].
claus
parents: 345
diff changeset
   494
    ^ true
claus
parents: 345
diff changeset
   495
!
claus
parents: 345
diff changeset
   496
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   497
hash
a27a279701f8 Initial revision
claus
parents:
diff changeset
   498
    "return a number for hashing"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   499
217
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   500
    x = y ifTrue:[^ x hash].
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   501
"
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   502
 used to be:
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   503
    ^ (x hash) bitXor:(y hash)
217
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   504
 the following handles 1@x vs. x@1 better:
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   505
"
a0400fdbc933 *** empty log message ***
claus
parents: 213
diff changeset
   506
    ^ (x hash) bitXor:(y hash bitShift:12)
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   507
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   508
a27a279701f8 Initial revision
claus
parents:
diff changeset
   509
< aPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   510
    "return true if the receiver is above and to the left
a27a279701f8 Initial revision
claus
parents:
diff changeset
   511
     of the argument, aPoint"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   512
a27a279701f8 Initial revision
claus
parents:
diff changeset
   513
    |p|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   514
a27a279701f8 Initial revision
claus
parents:
diff changeset
   515
    p := aPoint asPoint.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   516
    x >= (p x) ifTrue:[^ false].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   517
    y >= (p y) ifTrue:[^ false].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   518
    ^ true
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 below and to the right
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
max:aPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   534
    "return the lower right corner of the rectangle uniquely defined by
a27a279701f8 Initial revision
claus
parents:
diff changeset
   535
     the receiver and the argument, aPoint"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   536
a27a279701f8 Initial revision
claus
parents:
diff changeset
   537
    |p maxX maxY|
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
    maxX := x max:(p x).
a27a279701f8 Initial revision
claus
parents:
diff changeset
   541
    maxY := y max:(p y).
a27a279701f8 Initial revision
claus
parents:
diff changeset
   542
    ^ maxX @ maxY
a27a279701f8 Initial revision
claus
parents:
diff changeset
   543
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   544
a27a279701f8 Initial revision
claus
parents:
diff changeset
   545
min:aPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   546
    "return the upper left 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 minX minY|
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
    minX := x min:(p x).
a27a279701f8 Initial revision
claus
parents:
diff changeset
   553
    minY := y min:(p y).
a27a279701f8 Initial revision
claus
parents:
diff changeset
   554
    ^ minX @ minY
a27a279701f8 Initial revision
claus
parents:
diff changeset
   555
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   556
356
claus
parents: 345
diff changeset
   557
!Point methodsFor:'accessing'!
claus
parents: 345
diff changeset
   558
claus
parents: 345
diff changeset
   559
x
claus
parents: 345
diff changeset
   560
    "return the x coordinate"
claus
parents: 345
diff changeset
   561
claus
parents: 345
diff changeset
   562
    ^ x
claus
parents: 345
diff changeset
   563
!
claus
parents: 345
diff changeset
   564
claus
parents: 345
diff changeset
   565
y
claus
parents: 345
diff changeset
   566
    "return the y coordinate"
claus
parents: 345
diff changeset
   567
claus
parents: 345
diff changeset
   568
    ^ y
claus
parents: 345
diff changeset
   569
!
claus
parents: 345
diff changeset
   570
claus
parents: 345
diff changeset
   571
y:newY
claus
parents: 345
diff changeset
   572
    "set the y coordinate to be the argument, aNumber.
claus
parents: 345
diff changeset
   573
     This is destructive (modifies the receiver, not a copy) and 
claus
parents: 345
diff changeset
   574
     should only be used if you know, that you are the exclusive owner 
claus
parents: 345
diff changeset
   575
     of the receiver."
claus
parents: 345
diff changeset
   576
claus
parents: 345
diff changeset
   577
    y := newY
claus
parents: 345
diff changeset
   578
!
claus
parents: 345
diff changeset
   579
claus
parents: 345
diff changeset
   580
x:newX
claus
parents: 345
diff changeset
   581
    "set the x coordinate to be the argument, aNumber.
claus
parents: 345
diff changeset
   582
     This is destructive (modifies the receiver, not a copy) and 
claus
parents: 345
diff changeset
   583
     should only be used if you know, that you are the exclusive owner 
claus
parents: 345
diff changeset
   584
     of the receiver."
claus
parents: 345
diff changeset
   585
claus
parents: 345
diff changeset
   586
    x := newX
claus
parents: 345
diff changeset
   587
!
claus
parents: 345
diff changeset
   588
claus
parents: 345
diff changeset
   589
x:newX y:newY
claus
parents: 345
diff changeset
   590
    "set both the x and y coordinates.
claus
parents: 345
diff changeset
   591
     This is destructive (modifies the receiver, not a copy) and 
claus
parents: 345
diff changeset
   592
     should only be used if you know, that you are the exclusive owner 
claus
parents: 345
diff changeset
   593
     of the receiver."
claus
parents: 345
diff changeset
   594
claus
parents: 345
diff changeset
   595
    x := newX.
claus
parents: 345
diff changeset
   596
    y := newY
claus
parents: 345
diff changeset
   597
! !
claus
parents: 345
diff changeset
   598
claus
parents: 345
diff changeset
   599
!Point methodsFor:'coercing'!
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   600
a27a279701f8 Initial revision
claus
parents:
diff changeset
   601
generality
40
a1defe2846d6 *** empty log message ***
claus
parents: 13
diff changeset
   602
    "return the generality value - see ArithmeticValue>>retry:coercing:"
a1defe2846d6 *** empty log message ***
claus
parents: 13
diff changeset
   603
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   604
    ^ 120
a27a279701f8 Initial revision
claus
parents:
diff changeset
   605
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   606
a27a279701f8 Initial revision
claus
parents:
diff changeset
   607
coerce:anObject
40
a1defe2846d6 *** empty log message ***
claus
parents: 13
diff changeset
   608
    "return aNumber converted into receivers type"
a1defe2846d6 *** empty log message ***
claus
parents: 13
diff changeset
   609
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   610
    ^ anObject asPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   611
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   612
356
claus
parents: 345
diff changeset
   613
!Point methodsFor:'queries'!
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   614
356
claus
parents: 345
diff changeset
   615
isPoint
claus
parents: 345
diff changeset
   616
    "return true, if the receiver is some kind of point"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   617
356
claus
parents: 345
diff changeset
   618
    ^ true
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   619
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   620
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   621
!Point methodsFor:'destructive transformations'!
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   622
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   623
scaleBy:aScale
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   624
    "scale the receiver, by replacing coordinates by the product
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   625
     of the receivers coordinates and the scale (a Point or Number).
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   626
     This is destructive (modifies the receiver, not a copy) and 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   627
     should only be used if you know, that you are the exclusive owner 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   628
     of the receiver."
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   629
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   630
    |scalePoint|
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   631
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   632
    (aScale isMemberOf:Point) ifTrue:[  "type hint to stc"  
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   633
	x := x * aScale x.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   634
	y := y * aScale y.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   635
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   636
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   637
    aScale isNumber ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   638
	x := x * aScale.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   639
	y := y * aScale.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   640
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   641
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   642
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   643
    "this is the general (& clean) code ..."
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   644
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   645
    scalePoint := aScale asPoint.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   646
    x := x * scalePoint x.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   647
    y := y * scalePoint y
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   648
!
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   649
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   650
translateBy:anOffset
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   651
    "translate the receiver, by replacing coordinates by the sum
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   652
     of the receivers coordinated and the scale (a Point or Number).
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   653
     This is destructive (modifies the receiver, not a copy) and 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   654
     should only be used if you know, that you are the exclusive owner 
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   655
     of the receiver."
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   656
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   657
    |offsetPoint|
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   658
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   659
    (anOffset isMemberOf:Point) ifTrue:[ "type hint to stc"   
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   660
	x := x + anOffset x.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   661
	y := y + anOffset y.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   662
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   663
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   664
    anOffset isNumber ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   665
	x := x + anOffset.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   666
	y := y + anOffset.
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   667
	^ self
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   668
    ].
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   669
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   670
    "this is the general (& clean) code ..."
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   671
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   672
    offsetPoint := anOffset asPoint.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   673
    x := x + anOffset x.
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   674
    y := y + anOffset y
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   675
! !
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   676
356
claus
parents: 345
diff changeset
   677
!Point methodsFor:'printing & storing'!
claus
parents: 345
diff changeset
   678
claus
parents: 345
diff changeset
   679
printOn:aStream
claus
parents: 345
diff changeset
   680
    "append a printed representation of the receiver to aStream"
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   681
356
claus
parents: 345
diff changeset
   682
    x printOn:aStream.
claus
parents: 345
diff changeset
   683
    aStream nextPut:$@.
claus
parents: 345
diff changeset
   684
    y printOn:aStream
claus
parents: 345
diff changeset
   685
!
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   686
356
claus
parents: 345
diff changeset
   687
storeOn:aStream
claus
parents: 345
diff changeset
   688
    "append my storeString to aStream"
claus
parents: 345
diff changeset
   689
claus
parents: 345
diff changeset
   690
    aStream nextPut:$(.
claus
parents: 345
diff changeset
   691
    x storeOn:aStream.
claus
parents: 345
diff changeset
   692
    aStream nextPut:$@.
claus
parents: 345
diff changeset
   693
    y storeOn:aStream.
claus
parents: 345
diff changeset
   694
    aStream nextPut:$)
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   695
! !
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   696
356
claus
parents: 345
diff changeset
   697
!Point methodsFor:'point functions'!
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   698
a27a279701f8 Initial revision
claus
parents:
diff changeset
   699
dist:aPoint 
a27a279701f8 Initial revision
claus
parents:
diff changeset
   700
    "return the distance between aPoint and the receiver."
a27a279701f8 Initial revision
claus
parents:
diff changeset
   701
a27a279701f8 Initial revision
claus
parents:
diff changeset
   702
    ^ (aPoint - self) r
a27a279701f8 Initial revision
claus
parents:
diff changeset
   703
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   704
a27a279701f8 Initial revision
claus
parents:
diff changeset
   705
dotProduct:aPoint 
57
db9677479d35 *** empty log message ***
claus
parents: 44
diff changeset
   706
    "return a number that is the dot product of the receiver and
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   707
     the argument, aPoint.  That is, the two points are
57
db9677479d35 *** empty log message ***
claus
parents: 44
diff changeset
   708
     multiplied and the coordinates of the result summed."
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   709
a27a279701f8 Initial revision
claus
parents:
diff changeset
   710
    |temp|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   711
a27a279701f8 Initial revision
claus
parents:
diff changeset
   712
    temp := self * aPoint.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   713
    ^ temp x abs + temp y abs
a27a279701f8 Initial revision
claus
parents:
diff changeset
   714
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   715
a27a279701f8 Initial revision
claus
parents:
diff changeset
   716
grid:gridPoint
a27a279701f8 Initial revision
claus
parents:
diff changeset
   717
    "return a new point with coordinates grided (i.e. rounded to the
a27a279701f8 Initial revision
claus
parents:
diff changeset
   718
     nearest point on the grid)"
a27a279701f8 Initial revision
claus
parents:
diff changeset
   719
a27a279701f8 Initial revision
claus
parents:
diff changeset
   720
    |newX newY gridX gridY|
a27a279701f8 Initial revision
claus
parents:
diff changeset
   721
a27a279701f8 Initial revision
claus
parents:
diff changeset
   722
    gridX := gridPoint x.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   723
    (gridX <= 1) ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   724
	newX := x asInteger
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   725
    ] ifFalse:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   726
	newX := ((x + (gridX // 2)) // gridX) * gridX
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   727
    ].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   728
    gridY := gridPoint y.
a27a279701f8 Initial revision
claus
parents:
diff changeset
   729
    (gridY <= 1) ifTrue:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   730
	newY := y asInteger
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   731
    ] ifFalse:[
180
c488255bd0be *** empty log message ***
claus
parents: 93
diff changeset
   732
	newY := ((y + (gridY // 2)) // gridY) * gridY
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   733
    ].
a27a279701f8 Initial revision
claus
parents:
diff changeset
   734
    ^ newX @ newY
77
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   735
!
6c38ca59927f *** empty log message ***
claus
parents: 57
diff changeset
   736
276
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   737
nearestIntegerPointOnLineFrom: point1 to: point2 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   738
    "return the closest integer point to the receiver on the line 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   739
     determined by (point1, point2)--much faster than the more 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   740
     accurate version if the receiver and arguments are integer points.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   741
     This method was found in the Manchester goody library."
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   742
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   743
    | dX dY newX newY dX2 dY2 intersect scale coeff |
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   744
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   745
    dX := point2 x - point1 x.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   746
    dY := point2 y - point1 y.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   747
    (dX = 0)ifTrue: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   748
	(dY = 0) ifTrue: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   749
	    intersect := point1
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   750
	] ifFalse: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   751
	    newX := point1 x.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   752
	    scale := (y - point1 y) / dY.
359
claus
parents: 356
diff changeset
   753
	    scale > 1 ifTrue:[
claus
parents: 356
diff changeset
   754
		newY := point2 y
claus
parents: 356
diff changeset
   755
	    ] ifFalse: [
claus
parents: 356
diff changeset
   756
		scale < 0 ifTrue: [
claus
parents: 356
diff changeset
   757
		    newY := point1 y
claus
parents: 356
diff changeset
   758
		] ifFalse: [
claus
parents: 356
diff changeset
   759
		    newY := y
claus
parents: 356
diff changeset
   760
		]
claus
parents: 356
diff changeset
   761
	    ].
276
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   762
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   763
	    ^ (newX @ newY) rounded
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   764
	]
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   765
    ] ifFalse: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   766
	(dY = 0) ifTrue: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   767
	    intersect := x @ point1 y
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   768
	] ifFalse:[
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   769
	    dX2 := dX * dX.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   770
	    dY2 := dY * dY.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   771
	    coeff := ((dX * (y - point1 y)) - 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   772
		     ((x - point1 x) * dY)) / (dX2 + dY2).
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   773
	    newX := x + (dY * coeff).
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   774
	    newY := y - (dX * coeff).
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   775
	    intersect := newX @ newY
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   776
	]
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   777
    ].
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   778
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   779
    scale := (intersect x - point1 x) / dX.
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   780
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   781
    ^ (scale > 1 ifTrue: [point2] ifFalse: [
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   782
      scale < 0 ifTrue: [point1] ifFalse: [intersect]]) rounded
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   783
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   784
    "
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   785
     120@40 nearestIntegerPointOnLineFrom: 30@120 to: 100@120 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   786
     0@0 nearestIntegerPointOnLineFrom: 10@10 to: 100@100 
3b6d97620494 *** empty log message ***
claus
parents: 217
diff changeset
   787
    "
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   788
! !
a27a279701f8 Initial revision
claus
parents:
diff changeset
   789
356
claus
parents: 345
diff changeset
   790
!Point methodsFor:'polar coordinates'!
claus
parents: 345
diff changeset
   791
claus
parents: 345
diff changeset
   792
r
claus
parents: 345
diff changeset
   793
    "return the receiver's radius in a polar coordinate system.
claus
parents: 345
diff changeset
   794
     (i.e. the length of a vector from 0@0 to the receiver)"
claus
parents: 345
diff changeset
   795
claus
parents: 345
diff changeset
   796
    ^ (self dotProduct:self) sqrt
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   797
356
claus
parents: 345
diff changeset
   798
    "
claus
parents: 345
diff changeset
   799
     (1@1) r    
claus
parents: 345
diff changeset
   800
     (2@1) r     
claus
parents: 345
diff changeset
   801
     (2@0) r    
claus
parents: 345
diff changeset
   802
     (0@2) r    
claus
parents: 345
diff changeset
   803
     (-2@-2) r    
claus
parents: 345
diff changeset
   804
     (2@2) r    
claus
parents: 345
diff changeset
   805
    "
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   806
!
a27a279701f8 Initial revision
claus
parents:
diff changeset
   807
356
claus
parents: 345
diff changeset
   808
angle 
claus
parents: 345
diff changeset
   809
    "return the receiver's angle (in radians) in a polar coordinate system.
claus
parents: 345
diff changeset
   810
     (i.e. the angle of a vector from 0@0 to the receiver).
claus
parents: 345
diff changeset
   811
    OBSOLETE ST/X interface; use theta for ST-80 compatibility."
claus
parents: 345
diff changeset
   812
claus
parents: 345
diff changeset
   813
    ^ self theta
claus
parents: 345
diff changeset
   814
claus
parents: 345
diff changeset
   815
    "
claus
parents: 345
diff changeset
   816
     (1@1) angle radiansToDegrees    
claus
parents: 345
diff changeset
   817
     (2@1) angle radiansToDegrees   
claus
parents: 345
diff changeset
   818
    "
claus
parents: 345
diff changeset
   819
!
claus
parents: 345
diff changeset
   820
claus
parents: 345
diff changeset
   821
theta 
claus
parents: 345
diff changeset
   822
    "return the receiver's angle (in radians) in a polar coordinate system.
claus
parents: 345
diff changeset
   823
     (i.e. the angle of a vector from 0@0 to the receiver)"
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   824
356
claus
parents: 345
diff changeset
   825
    y < 0 ifTrue:[
claus
parents: 345
diff changeset
   826
	x < 0 ifTrue:[
claus
parents: 345
diff changeset
   827
	    ^  270 degreesToRadians - (y / x) arcTan
claus
parents: 345
diff changeset
   828
	].
claus
parents: 345
diff changeset
   829
	x = 0 ifTrue:[
claus
parents: 345
diff changeset
   830
	    ^ 180
claus
parents: 345
diff changeset
   831
	].
claus
parents: 345
diff changeset
   832
	^ 360 degreesToRadians - (y abs / x) arcTan
claus
parents: 345
diff changeset
   833
    ].
claus
parents: 345
diff changeset
   834
    x < 0 ifTrue:[
claus
parents: 345
diff changeset
   835
	^ 180 degreesToRadians - (y / x abs) arcTan 
claus
parents: 345
diff changeset
   836
    ].
claus
parents: 345
diff changeset
   837
    x = 0 ifTrue:[
claus
parents: 345
diff changeset
   838
	^ 0
claus
parents: 345
diff changeset
   839
    ].
claus
parents: 345
diff changeset
   840
    ^ (y / x) arcTan
claus
parents: 345
diff changeset
   841
claus
parents: 345
diff changeset
   842
    "
claus
parents: 345
diff changeset
   843
     (1@1) theta radiansToDegrees    
claus
parents: 345
diff changeset
   844
     (2@1) theta radiansToDegrees   
claus
parents: 345
diff changeset
   845
    "
1
a27a279701f8 Initial revision
claus
parents:
diff changeset
   846
! !
356
claus
parents: 345
diff changeset
   847
claus
parents: 345
diff changeset
   848
Point initialize!