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Animation Contest
Volume Number:1
Issue Number:5
Column Tag:Mousehole

Animation Contest

By David E. Smith

Last month we presented a complete application shell program in assembly that supported desk accessories, cut and past and “about” dialog boxes. But the application itself was rather boring, simply drawing nested boxes in the window. This month, we concentrate on the application itself. To eliminate confusion, we will use the simple shell program from the December issue of MacTutor that simply opens a window. This allows us to concentrate on the application, which is to animate a paddle and ball. Once we understand animation, we can combine our paddle and ball program with the shell program published last month to create a complete Mac game application. But first, the problem of animation.

Animation Contest

The Mousehole recently held a programming contest sponsored by MacTutor on the problem of moving a paddle with the mouse. “Brett” offered an interesting solution: “Have the user blink a lot and pretend!” Another interesting solution offered by “Lone Falcon” and “Chief Wizard” and expanded on by “The Jerk” was to make the cursor a paddle and constrain the cursor to a given rectangle. The trap call “_PinRect” can be used to change the rectangle in which the cursor is allowed to move. Or the rectangle can be poked into the global variable at $834 as mentioned by “The Jerk”. One problem with this solution is that of providing an “escape” for the cursor when you want to go to the menu bar to quit the game!

A simple technique to move the paddle is to draw the paddle rectange where the mouse now is and erase it from where the paddle used to be. The following example code shows how this might be done:

MOVEPADDLE:

; Copy current paddle to old paddle

LEApaddle, A0
LEAoldpaddle, A1
MOVE.W  0(A0), 0(A1) ;top of rect
MOVE.W  2(A0), 2(A1) ;left of rect
MOVE.W  4(A0), 4(A1) ;bottom 
MOVE.W  6(A0), 6(A1) ;right

; Update paddle position from mouse

; _GetMouse trap previously called
; and mouse coord. saved in Mouse.
; Since paddle moves vertically, only
; the top and bottom coordinates need
; be updated.

LEAMouse, A0;get mouse
LEApaddle, A1  ;get paddle
MOVE.W  (A0), (A1) ;update top
MOVE.W  (A0), D0 ;get top
ADD.W Paddlelength, D0  ;add length
MOVE.W  D0, 4(A1);update bottom

; Erase old paddle position

PEAoldpaddle;push old pad.
_EraseRect;erase it

; Draw new paddle

PEApaddle ;push paddle
PEAPaddlepattern ;push fill pat.
_FillRect ;draw paddle
RTS

The Paddle Blinks!

The problem with the above solution, and hence the contest, is that the paddle will blink as it moves up and down. The problem is to improve on the above technique to eliminate the blinking. The reason for the blinking is shown in figure 1.

As shown in figure 1, the paddle blinks because we are erasing and drawing part of the paddle that overlaps, causing it to blink on and off. The solution is to determine the non-overlapping part and erase only that part. One way to do this is to replace the bottom of the old paddle with the top of the new paddle. Then the modified old paddle rectange would be only the cross-hatched area shown in figure 1 as the non-over-lapping part. But that only works for the paddle moving down. If the paddle moves up, then the opposite condition applies as shown in the following code segment:

ERASEPADDLE:

; create difference rectange

LEApaddle, A0  ;new paddle
LEAoldpaddle, A1 ;old paddle
MOVE.W  (A0), D0 ;get new paddle
MOVE.W  (A1), D1 ;get old paddle
SUB.W D1, D0;top difference
BMIUP ;moving up?

DN: MOVE.W (A0), 4(A1)  ;update bottom
     JMP Eraseit

UP: MOVE.W 4(A0), (A1)  ;update top

Eraseit:  PEA oldpaddle
 _EraseRect

CONTEST WINNER!

The above method works fine for a rectangular paddle moving up or down. But what about the ball? The winning solution to our animation contest was posted by “Don L.” in which he explained how regions could be used in a manner similar to what was done above for rectangles. Moreover, the toolbox has a special trap for finding the difference of two regions but does not have a similar trap for rectangles. The solution then is to form a union region of the old and new paddle regions, and then take the difference between the new paddle and this union region. The difference region is then erased and the paddle re-drawn. The result is a non-blinking paddle but using regions instead of rectangles.

In our example program we use “Don L.”’s method to move the ball as a region, and the rectangular method for moving the less complicated paddle rectangle. See the subroutine MOVEPADDLE for the rectangular implmentation discussed above and the subroutine MOVEBALL for the region solution submitted by Don. The tricky part is getting the regions properly defined with NewRgn, OpenRgn and CloseRgn.

Detecting Collisions

Once we have a moving paddle responding to the mouse, and a ball moving towards us, we need to detect if the ball has hit the paddle. A simple way to do this is to use the trap _RectInRgn, which tells if the given rectange intersects with the given region. We have used this trap by pushing the paddle rectange as the given rectange, and the ball region as the given region and tested the returning byte for true or false. If true, then the ball has “hit” the paddle, and we erase the ball and start a new one. If not, then the paddle has “missed” the ball and the game ends on a click of the mouse. Of course, in the final game, we really want the ball to “bounce” and move away from the paddle if there is a hit. We will leave the problem of bouncing for next month.

ANIMATE EXAMPLE

Our sample program includes all of the topics we’ve discussed this month in a complete program. To conserve space, none of the fancy user interface support we did last month is included. The program opens a window and displays our game field with a rectangular paddle, and launches a ball. If the user hits the ball, it disappears and another ball is launched. If the user misses the ball, the game stops until the button is pressed, at which point the finder is invoked. This is the basic animation required for a pinball type of game. Make note of the INITBALL routine that sets up the three temporary regions for use with the ball, and the MOVEBALL routine which erases the ball by only erasing the non-over-lapping region. Using these techniques, the paddle and ball should move smoothly over the shaded playing field.

BALL SPEED

The speed of the ball is determined by the increment used to update the ball region. The trap “_OffSetRgn” is used to incrementaly move the ball a small distance (dh, dv). In our example, dh is set at -1 and dv is zero, making the ball move horizontally one pixel left at a time. For a faster moving ball, the horiztonal increment should be doubled in a loop, until the user misses. Try this and see how fast the ball appears to move. Note that moving the paddle very quickly does produce an effect on the speed of the ball slightly.

In figure 2 we see the output from this month’s program. The white ball moves on a field of gray towards the black paddle. The white area was added in MacPaint to reduce the amount of gray, which does not print well.

Resources and Linker Files

The resource and linker files included are the minimum necessary to get an icon to pop up on the desktop. Our icon is shown at the top of the column header, and was produced using the Icon Converter Utility from issue 2 and “included” into our resource source code.

; EXAMPLE ASSEMBLY PROGRAM 
; ANIMATE (MacTutor 1-5)
; VERSION 27 FEB 1985
; (C) 1985 MacTutor by David E. Smith

;    Macro subset for Toolbox stuff

MACRO _InitGraf =  DC.W $A86E|
MACRO _InitWind =DC.W $A912| 
MACRO _NewWindow = DC.W $A913|
MACRO _setport = DC.W $A873|
MACRO _InitFont =DC.W $A8FE|
MACRO _InitMenu =DC.W $A930|
MACRO _InitDialog =DC.W $A97B|
MACRO _TEInit   =DC.W $A9CC|
MACRO _Initpack =         DC.W $A9E5|
MACRO _FlushEvents = DC.W $A032|
MACRO _InitCursor =DC.W $A850|
MACRO _GetNextEvent =DC.W $A970|
MACRO _FrameRect = DC.W $A8A1|
MACRO _BackPat = DC.W $A87C|
MACRO _EraseRect = DC.W $A8A3|
MACRO _NewRgn =  DC.W $A8D8|
MACRO _OpenRgn = DC.W $A8DA|
MACRO _CloseRgn =DC.W $A8DB|
MACRO _FrameRgn =  DC.W $A8D2|
MACRO _FrameRoundRect =   DC.W $A8B0|
MACRO _FillRect =DC.W $A8A5|
MACRO _FillRgn = DC.W $A8D6|
MACRO _BeginUpdate = DC.W $A922|
MACRO _EndUpdate = DC.W $A923|
MACRO _ClipRect =  DC.W $A87B|
MACRO _GetMouse =  DC.W $A972|
MACRO _CopyRgn = DC.W $A8DC|
MACRO _OffsetRgn = DC.W $A8E0|
MACRO _OffsetRect =  DC.W $A8A8|
MACRO _UnionRgn =  DC.W $A8E5|
MACRO _DiffRgn = DC.W $A8E6|
MACRO _MoveTo =  DC.W $A893|
MACRO _DrawChar =  DC.W $A883|
MACRO _RectInRgn = DC.W $A8E9|

;      DECLARE LABELS EXTERNAL

XDEF  START           ; required for linker 
 
;     LOCAL EQUATES
 
MouseDown equ  1
AllEvents equ  $0000FFFF
UpdateEvt equ  6 

; SET UP MANAGERS

START:

PEA -4(A5);push qd global ptr
_InitGraf        ;init quickdraw global 
_InitFont        ; init font manager
_InitWind   ; init window manager
_InitMenu   ; init menu manager  
CLR.L -(SP) ; kill the restart 
_InitDialog ; init dialog manager
_TEInit ; init text edit (ROM) 
MOVE.W  #2,-(SP) ;  set-up
_Initpack ; init package mgr
MOVE.L  #AllEvents,D0    ;all events
_FlushEvents      ;flushed
_InitCursor      ; make cursor the arrow

;-- SET UP NEW WINDOW ON HEAP ----
 
CLR.L -(SP)          ;return window ptr
CLR.L -(SP)          ;window record ptr.
PEA WBOUNDS               ;window rectangle 
PEA WINDTITLE              ; window title
MOVE.W #$100,-(SP)   ; true = visible 
MOVE.W #0,-(SP)           ; doc type window
MOVE.L #-1,-(SP)          ; window in front
MOVE.W #$100,-(SP)   ; true=closebox
MOVE.L #0, -(SP)         ; reference value 
_NewWindow                ; make new window
 
; --  ACTIVATE THIS NEW WINDOW ------

LEA WPOINTER,A0         ; copy window ptr 
MOVE.L (SP),(A0)        ; to stacksave
_setport                  ;current window

;   INIT ALL VARIABLES

JSRINITVAR

; --EVENT LOOP ------------

GetEvent:

JSRDOGAME ;move paddle with mouse

CLR-(SP);returned event 
MOVE  #AllEvents,-(SP)    ;mask all events
PEAEventRecord   ; event record block
_GetNextEvent    ;go check the mouse 
MOVE  (SP)+,D0   ;get event result 
CMP#0,D0;if 0 then no event 
BEQGetEvent ;loop until it happens

 ; JUMP TABLE OF EVENT PROCESSING
 
MOVE  What,D0    ;what to do!
CMP#MouseDown,D0     ; button down?
BEQEXIT ;yes so exit...
CMP#UpdateEvt, D0;is it an update event?
BEQUPDATE ;yes, so do it
JMP    GetEvent  ;get next event

UPDATE:

; window needs refreshing

MOVE.L  WPOINTER,-(SP)  ;push window ptr
_BeginUpdate
MOVE.L  WPOINTER,-(SP)  ;push our window ptr.
_SetPort;restore our port
 ;least an update draw in
 ;the wrong window.
BSRQDSTUFF;re-draw everything
MOVE.L  WPOINTER,-(SP)
_EndUpdate
JMP   GetEvent

; ---------- END OF MAIN ----------
INITVAR:

;     INIT GAME VARIABLES 

LEAField.of.play(A5),A0 ;set-up appl. window 
MOVE.W #5,    (A0) ;Field.of.play TOP
MOVE.W #5,   2(A0) ;LEFT
MOVE.W #245, 4(A0) ;BOTTOM
MOVE.W #500, 6(A0) ;RIGHT

PEA Field.of.play(A5)
_ClipRect ;set clip region

LEAPaddle(A5),A0 ;set-up paddle
MOVE.W #6,    (A0) ;TOP
MOVE.W #8,   2(A0) ;LEFT
MOVE.W #40, 4(A0);BOTTOM
MOVE.W #15, 6(A0);RIGHT

LEAPaddlelength(A5),A1  ;update paddle bottom
MOVE.W  (A0),D0
MOVE.W  4(A0),D1
SUB.W   D0,D1
MOVE.W  D1, (A1)

;  set up regions for ball

CLR.L -(SP)
_NewRgn ;set new region
LEABallrgn(A5), A1 ;make ball a region
MOVE.L  (SP)+,(A1) ;save handle in ballrgn

CLR.L -(SP)
_NewRgn ;set new region
LEAoldballrgn(A5), A1;make old ball a region
MOVE.L  (SP)+,(A1) ;save handle in oldballrg 

CLR.L -(SP)
_NewRgn ;set new region
LEAunionrgn(A5), A1;make union ball a region
MOVE.L  (SP)+,(A1) ;save handle in unionrgn

JSRINITBALL ;set-up ball

RTS

; ------   init ball subroutine ------

INITBALL:

LEABall(A5),A0 ;set-up ball rect
MOVE.W #100,    (A0) ;TOP
MOVE.W #300,   2(A0) ;LEFT
MOVE.W #109, 4(A0) ;BOTTOM
MOVE.W #309, 6(A0) ;RIGHT

LEABallwide(A5),A0 ;set up rounded corners
MOVE.W #6, (A0)
LEABallhigh(A5), A0
MOVE.W #6, (A0)

_OpenRgn;init ball region
PEABall(A5)
MOVE.W  Ballwide(A5),-(SP)
MOVE.W  Ballhigh(A5),-(SP)
_FrameRoundRect
MOVE.L  Ballrgn(A5),A0
MOVE.L  A0,-(SP)
_CloseRgn

_OpenRgn;init oldball region
PEABall(A5)
MOVE.W  Ballwide(A5),-(SP)
MOVE.W  Ballhigh(A5),-(SP)
_FrameRoundRect
MOVE.L  oldballrgn(A5),A0
MOVE.L   A0,-(SP)
_CloseRgn

_OpenRgn;init union region
PEABall(A5)
MOVE.W  Ballwide(A5),-(SP)
MOVE.W  Ballhigh(A5),-(SP)
_FrameRoundRect
MOVE.L  unionrgn(A5),A0
MOVE.L  A0,-(SP)
_CloseRgn
RTS

DOGAME:

; update game field during null event

PEAmouse(A5)
_GetMouse 
LEAmouse(A5),A0  ;current mouse
LEAoldmouse(A5),A1 ;old mouse;find where mouse is
MOVE.W  (A0),D0  ;new mouse
MOVE.W  (A1),D1  ;old mouse
CMPD1,D0;has y mouse changed?
BEQstatck ;no, don’t update paddle
 ;yes, make new paddle
JSRMOVEPADDLE    ;update paddle position

statck:
JSRMOVEBALL ;advance ball
JSRBOUNCE ;change ball direction

RTS
; ----  MOVE PADDLE SUBROUTINE ----

MOVEPADDLE:

;      copy paddle position to oldpaddle

LEApaddle(A5), A0
LEAoldpaddle(A5), A1
MOVE.W  (A0), (A1) ;top
MOVE.W  2(A0), 2(A1) ;left
MOVE.W  4(A0), 4(A1) ;bottom
MOVE.W  6(A0), 6(A1) ;right

; update paddle position

LEAmouse(A5),A0  ;get current mouse position
LEApaddle(A5),A1 ;update paddle position
MOVE.W  (A0), (A1) ;update TOP
MOVE.W  (A0),D0  ;calculate BOTTOM
ADD.W Paddlelength(A5),D0
MOVE.W  D0,4(A1) ;update BOTTOM

;   draw new paddle

PEApaddle(A5)
PEAPaddlePat
_FillRect

;    calculate difference rectangle

LEApaddle(A5),A0 ;current paddle
LEAoldpaddle(A5),A1;old paddle
CLR.L   D0
CLR.L   D1
MOVE.W  (A0), D0
MOVE.W  (A1),D1
LEApaddle(A5), A0
LEAoldpaddle(A5), A1
SUB.W D1, D0
BMIup
dn:   MOVE.W(A0), 4(A1) ;moved down
      BRA wipeout
up: MOVE.W4(A0), (A1);moved up
    BRA wipeout
    
wipeout:
PEAoldpaddle(A5)
PEABackPat0
_FillRect

; update mouse

LEAmouse(A5),A0  ;current mouse
LEAoldmouse(A5),A1 ;old mouse
MOVE.L  (A0),(A1);update old mouse
RTS

; ----      MOVE BALL SUBROUTINE ------
MOVEBALL:

;      copy Ballrgn to oldballrgn

MOVE.L  Ballrgn(A5),A0
MOVE.L  A0,-(SP)
MOVE.L  oldballrgn(A5),A0
MOVE.L  A0,-(SP)
_CopyRgn

; move ball region

MOVE.L  Ballrgn(A5),A0
MOVE.L  A0,-(SP)
MOVE.W  dh,-(SP) ;horiz. increment
MOVE.W  dv, -(SP);vert. increment
_OffsetRgn;offset ball rgn

;   draw new BALL

MOVE.L  Ballrgn(A5),A0
MOVE.L  A0,-(SP)
PEABallPat
_FillRgn

; erase old ball difference

MOVE.L  Ballrgn(A5),A0
MOVE.L  oldballrgn(A5),A1
MOVE.L  unionrgn(A5),A3
MOVE.L  A0,-(SP)
MOVE.L  A1,-(SP)
MOVE.L  A3,-(SP)
_Unionrgn

MOVE.L  unionrgn(A5),A0
MOVE.L  Ballrgn(A5),A1
MOVE.L  unionrgn(A5),A3
MOVE.L  A0,-(SP)
MOVE.L  A1,-(SP)
MOVE.L  A3,-(SP)
_Diffrgn

MOVE.L  unionrgn(A5),A0
MOVE.L  A0,-(SP)
PEABackPat0
_FillRgn

RTS

; ---------- BOUNCE BALL --------
BOUNCE:

CLR.B -(SP)
PEAPaddle(A5)    ;push rect
MOVE.L  Ballrgn(A5), A0
MOVE.L  A0, -(SP);push rgn handle
_RectInRgn
MOVE.B  (SP)+, D0
CMP#0, D0 ;false?
BEQRETBOUNCE;yes...

MOVE.L  Ballrgn(A5),A0  ;no...
MOVE.L  A0,-(SP) ;erase ball
PEABackPat0
_FillRgn
JSR INITBALL;start new ball

RETBOUNCE:
RTS

; ------ QDSTUFF SUBROUTINE ----
QDSTUFF:

;       DRAW GAME FIELD

_PenNormal

PEABACKPAT0
_BackPat
PEA Field.of.play(A5)   ;frame rectangle
_EraseRect
PEA Field.of.play(A5)
_FrameRect;draw game rectangle

;      DRAW PADDLE

PEAPaddle(A5)
PEAPaddlePat
_FillRect
PEAPaddle(A5)
_FrameRect

RTS
; ---- RETURN TO FINDER --------

EXIT:        RTS      ; return to finder

; ----LOCAL DATA AREA ----------

WPOINTER: DC.L     0      ;store window pt
WBOUNDS:DC.W   40  ;rectangle top 
 DC.W    2;left
 DC.W    335;bottom
 DC.W    508;right
WINDTITLE:     DC.B    24        ; title length
                 DC.B    ‘BALL AND PADDLE EXAMPLE ‘,0      

EventRecord:
 
 What:  DC.W     0 ; what event
 Message: DC.L     0 ; ptr. to msg
 When:  DC.L     0
 Point:   DC.L     0
 Modify:  DC.W     0

BackPat0: DC.L $AA55AA55  ;playing field
 DC.L $AA55AA55

BallPat:DC.L$00000000
 DC.L $00000000
 
PaddlePat:DC.L $FFFFFFFF
 DC.L $FFFFFFFF

dh:DC.W -1;BALL INCREMENTS
dv:DC.W 0
 
; ------   APPLICATION GLOBALS  ----
 
Field.of.play: DS.W1 ;frame size storage
 DS.W 1 ;for game field rectangle
 DS.W 1
 DS.W 1
 
Paddle: DS.W1  ;frame size storage
 DS.W 1 ;for paddle rectangle
 DS.W 1
 DS.W 1
 
oldpaddle:DS.W 1 ;frame size storage
 DS.W 1 ;for paddle rectangle
 DS.W 1
 DS.W 1
 
Paddlelength:  DS.W1
 
Ball:   DS.W1  ;frame size storage
 DS.W 1 ;for ball rectangle
 DS.W 1
 DS.W 1 
 
Ballwide: DS.W 1
Ballhigh: DS.W 1

Ballrgn:DS.L1  ;ball region handle
oldballrgn: DS.L 1 ;old ball region handle
unionrgn: DS.L 1 ;temp region

mouse:  DS.L1
oldmouse: DS.L 1


; ------   END OF PROGRAM -------


!START
[
)
/OUTPUT Animate Example

Animate

/TYPE ‘APPL’ ‘ANIM’
/BUNDLE
/RESOURCES
Animate_rscs

$



;ANIMATE_rscs.asm
; resource file for the animate example
; created using the assembler
; signiture is creator tag 
;
RESOURCE ‘ANIM’ 0 ‘IDENTIFICATION’

 DC.B 30, ‘animate example--Feb. 27, 1985’
 
.ALIGN 2
RESOURCE ‘BNDL’ 128 ‘BUNDLE’

 DC.L ‘ANIM’;NAME OF SIGNATURE
 DC.W 0,1 ;DATA (DOESN’T CHANGE)
 DC.L ‘ICN#’;ICON MAPPINGS
    DC.W0 ;NUMBER OF MAPPINGS-1
    DC.W 0,128 ;MAP 0 TO ICON 128
    
 DC.L ‘FREF’;FREF MAPPINGS
    DC.W0 ;NUMBER OF MAPPINGS-1
    DC.W 0,128 ;MAP 0 TO FREF 128

RESOURCE ‘FREF’ 128 ‘FREF 1’
 
 DC.B ‘APPL’, 0, 0, 0
 
.ALIGN 2
RESOURCE ‘ICN#’ 128 ‘MY ICON’

; FIRST APPLICATION ICON BIT MAP

INCLUDE animate.icon.asm

 
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The Apple Store has Apple Certified Refurbished 27″ Thunderbolt Displays available for $799 including free shipping. That’s $200 off the cost of new models. Read more
Apple TV (refurbished) now available for only...
The Apple Store has Apple Certified Refurbished 2012 Apple TVs now available for $75 including free shipping. That’s $24 off the cost of new models. Apple’s one-year warranty is standard. Read more
AnandTech Reviews 2013 MacBook Air (11-inch)...
AnandTech is never the first out with Apple new product reviews, but I’m always interested in reading their detailed, in-depth analyses of Macs and iDevices. AnandTech’s Vivek Gowri bought and tried... Read more
iPad, Tab, Nexus, Surface, And Kindle Fire: W...
VentureBeat’s John Koetsier says: The iPad may have lost the tablet wars to an army of Android tabs, but its still first in peoples hearts. Second place, however, belongs to a somewhat unlikely... Read more
Should You Buy An iPad mini Or An iPad 4?
Macworld UK’s David Price addresses the conundrum of which iPAd to buy? Apple iPad 4, iPad 2, iPad mini? Or hold out for the iPad mini 2 or the iPad 5? Price notes that potential Apple iPad... Read more
iDraw 2.3 A More Economical Alternative To Ad...
If you’re a working graphics pro, you can probably justify paying the stiff monthly rental fee to use Adobe’s Creative Cloud, including the paradigm-setting vector drawing app. Adobe Illustrator. If... Read more
New Documentary By Director Werner Herzog Sho...
Injuring or even killing someone because you were texting while driving is a life-changing experience. There are countless stories of people who took their eyes off the road for a second and ended up... Read more
AppleCare Protection Plans on sale for up to...
B&H Photo has 3-Year AppleCare Warranties on sale for up to $105 off MSRP including free shipping plus NY sales tax only: - Mac Laptops 15″ and Above: $244 $105 off MSRP - Mac Laptops 13″ and... Read more

Jobs Board

Sales Representative - *Apple* Honda - Appl...
APPLE HONDA AUTOMOTIVE CAREER FAIR! NOW HIRING AUTO SALES REPS, AUTO SERVICE BDC REPS & AUTOMOTIVE BILLER! NO EXPERIENCE NEEDED! Apple Honda is offering YOU a Read more
*Apple* Developer Support Advisor - Portugue...
Changing the world is all in a day's work at Apple . If you love innovation, here's your chance to make a career of it. You'll work hard. But the job comes with more than Read more
RBB - *Apple* OS X Platform Engineer - Barc...
RBB - Apple OS X Platform Engineer Ref 63198 Country USA…protected by law. Main Function | The engineering of Apple OS X based solutions, in line with customer and Read more
RBB - Core Software Engineer - Mac Platform (...
RBB - Core Software Engineer - Mac Platform ( Apple OS X) Ref 63199 Country USA City Dallas Business Area Global Technology Contract Type Permanent Estimated publish end Read more
*Apple* Desktop Analyst - Infinity Consultin...
Job Title: Apple Desktop Analyst Location: Yonkers, NY Job Type: Contract to hire Ref No: 13-02843 Date: 2013-07-30 Find other jobs in Yonkers Desktop Analyst The Read more
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