TweetFollow Us on Twitter

Sep 94 Challenge
Volume Number:10
Issue Number:9
Column Tag:Programmer’s Challenge

Programmer’s Challenge

By Mike Scanlin, Mountain View, CA

Note: Source code files accompanying article are located on MacTech CD-ROM or source code disks.

The Rules

Here’s how it works:

Each month we present a different programming challenge here. First, you write some code that solves the challenge. Second, optimize your code (a lot). Then, submit your solution to MacTech Magazine (formerly MacTutor). We choose a winner based on code correctness, speed, size and elegance (in that order of importance) as well as the postmark of the answer. In the event of multiple equally desirable solutions, one winner will be chosen at random (with honorable mention, but no prize, given to the runners up). The prize for the best solution each month is $50 and a limited edition “The Winner! MacTech Magazine Programming Challenge” T-shirt (not available in stores).

In order to make fair comparisons between solutions, all solutions must be in ANSI compatible C (i.e., don’t use Think’s Object extensions). Use only pure C code. We will disqualify any entries with any assembly in them (except for those challenges specifically stated to be in assembly). You may call any routine in the Macintosh toolbox you want (e.g., it doesn’t matter if you use NewPtr instead of malloc). We test entries with the FPU and 68020 flags turned off in THINK C. We time routines with the latest version of THINK C (with “ANSI Settings”, “Honor ‘register’ first”, and “Use Global Optimizer” turned on), so beware if you optimize for a different C compiler. Limit your code to 60 characters wide. This helps us deal with e-mail gateways and simplifies page layout.

We publish the solution and winners for this month’s Programmers’ Challenge in the issue two months later. All submissions must be received by the 10th day of the month printed on the front of this issue.

Mark solutions “Attn: Programmers’ Challenge Solution” and send them via e-mail - Internet progchallenge@xplain.com, AppleLink MT.PROGCHAL, CompuServe 71552,174 and America Online MT PRGCHAL. Include the solution, all related files, and your contact information. If you send via snail mail, please send a disk with those items on it; see “How to Contact Xplain Corporation” on page 2.

MacTech Magazine reserves the right to publish any solution entered in the Programming Challenge of the Month. Authors grant MacTech Magazine the non-exclusive right to publish entries without limitation upon submission of each entry. Authors retain copyrights for the code.

Erase Scribble

Challenge entrants liked the proposal for one function to set up their caches (which was not timed) and a second function to do the actual work (which was time critical). I can see why; it mirrors the way we implement things in the real world quite well. So, this month we have another challenge along these lines. The goal is to write the core code for an eraser tool. The tool erases line segments of a scribble drawn in the draw layer of a drawing program.

A Scribble is a variable length structure defined as:


/* 1 */
typedef struct Scribble {
 Point  startingPoint;
 Point  deltaPoints[];
}  Scribble,
  *ScribblePtr,
 **ScribbleHndl;

The startingPoint is where the scribble begins and each Point after that is a signed (dv,dh) offset from that point to the next point. At the very end of the deltaPoints array is a (0,0) entry. So if you had these bytes (0001 0004 0007 FFFF 0001 0001 0000 0000) then the scribble would consist of two line segments. One going from (x=4,y=1) to (3,8) and the other from (3,8) to (4,9).

The prototype of the two functions you write are:


/* 2 */
void *EraseScribbleInit(  theScribble, eraserSize);
ScribbleHndltheScribble;
unsigned short eraserSize;

Boolean PtInScribble(thePoint, theScribble, eraserSize,
 privateScribbleDataPtr);
Point   thePoint;
ScribbleHndltheScribble;
unsigned short eraserSize;

void      *privateScribbleDataPtr;

The routine EraseScribbleInit will be called once at the beginning of a given erase operation. It will NOT be timed (only the PtInScribble will count towards your time). It can create whatever lookup tables PtInScribble may need (up to 32K) and return a pointer to that private data. The return value from EraseScribbleInit will be passed to PtInScribble as the privateScribbleDataPtr parameter. You decide what it points to (if anything). And, yes, the same ScribbleHndl will be passed to the Init routine that is passed to the PtInScribble routine.

The scribbles that will be used will have between 2 and 500 Points (including the startingPoint). The eraserSize parameter is the size in pixels of the square eraser that the user is moving around. It will vary from 4 to 16 pixels and will be an even number. The function PtInScribble should return true if any part of the eraser is touching any of the vertices of the Scribble and false if not. Note that having the eraser intersect the middle of a line segment that is part of the Scribble does not count as a hit. This particular eraser only erases when it touches an endpoint of a segment. The (dv,dh) numbers will typically be small, probably 16 or less in absolute value with the average around 4 in absolute value (so that we have smooth Scribbles). The bounding box that contains each Scribble will be 1024 pixels square or smaller.

The goal is to make a PtInScribble routine fast enough so that the eraser the user is dragging around is not sluggish (imagine erasing a page containing 20 or 30 separate overlapping Scribbles). My test routine that calls your PtInScribble routine will take care of all the drawing and actual erasing; you just have to determine when the eraser touches a vertex of the Scribble or not.

Oh, yeah, one more thing: September is always Assembly Language Month here at the Programmer Challenge, and so, for this month only, you are allowed to use as much assembly language as you like in your solution. In fact, it is perfectly admissible to send in a C wrapper around a 100% assembly language solution. But you still have to write it in Think C using the prototypes above (use asm {} within the body of the function). In addition, you can write 68040 assembly if you want to (i.e. use instructions or addressing modes that may not exist on 68000, 020 and/or 030). Let ’em rip!

Two Months Ago Winner

Congratulations to Bob Noll (Arlington Heights, IL) for his excellent entry in the Color Space Conversion challenge. This is Bob’s first 1st place showing and it was during a month where there were several very high quality entries. Most of the 15 entries were no more than 50% slower than Bob’s winning entry.

Here are the times, code sizes and data sizes for each entry. The data size represents how many bytes the RGBtoYUVInit routine allocated when it was called (i.e. the size of the private lookup tables). Numbers in parens after a person’s name indicate how many times that person has finished in the top 5 places of all previous Programmer Challenges, not including this one:

Name time code data

Bob Noll 135 1038 394272

Dan Waylonis 153 518 9232

Bob Boonstra (10) 165 1508 789520

Ernst Munter (1) 173 404 12336

Larry Landry (2) 174 1554 795728

Joe Francis 183 1154 9342

Ronald Nepsund (2) 190 744 7184

Clement Goebel (3) 195 1094 8208

Michael Panchenko (1) 198 278 9232

Allen Stenger (7) 227 1528 520240

John Schlack 236 916 9232

Ted DiSilvestre 283 674 9408

Daniel Farmer (1) 289 830 8208

Kevin Cutts (3) 563 698 31952

David Nebiker 4955 1178 27664

Bob decided to optimize his RGBtoYUVInit routine even though it would not count towards his overall time (bravo!). To get both speed and accuracy he uses a 96-bit fixed point number to create his lookup tables. He then implemented his own routines to perform math on this custom format. And he was able to integrate his rounding factor into his lookup tables to save himself that final step when calculating y, u and v.

I received quite a bit of mail regarding my statement “.5 rounding down to zero.” I did not disqualify anyone for misinterpreting this. What I meant was “.5 should round towards zero” meaning that -.5 to .5 inclusive should be rounded to zero. There are gains to be had when writing a JPEG compression engine if you can get as many zeros as possible up front, which is the reason for this non-standard (i.e. symmetrical about zero) way of rounding.

Here’s Bob’s winning solution:


/* 3 */
Written by Robert A. Noll, July, 1994.  Copyright © 1994 Robert A. Noll
RGBtoYUV.h 
RGBtoYUV.h - Header for RGBtoYUV routine.
#define NegToZero 1
typedef struct {
 unsigned long   sig;
 unsigned long*  rp;
 unsigned long*  gbp;
 unsigned char*  up;
 unsigned char*  vp;
 unsigned long   r[256];
 unsigned long   gb[65536];
 unsigned char   u[65536];
 unsigned char   v[65536];
 } PrivateBlock;

void *RGBtoYUVInit(void);

void RGBtoYUV(unsigned char *rPtr, // Red buffer
   unsigned char *gPtr,   // Green buffer
   unsigned char *bPtr,   // Blue buffer
   unsigned char *yPtr,   // Luminance buffer
     signed char *uPtr,   // U Chrominance buff
   signed char *vPtr,// V Chrominance buff
   unsigned long numPixels, // Number of Pixels
   void *privateDataPtr); // My private data

RGBtoYUV.c
RGBtoYUV.c - Convert RGB color to YUV color.

#include "RGBtoYUV.h"

RGBtoYUV

RGBtoYUV - Calculate the Y, U, and V values for set of R, G, and B values 
input.  This function relies completely on the data set up by RGBtoYUVInit 
and therefore checks the validity of the data sent.  It will return with 
no action if data is not valid.

void RGBtoYUV(unsigned char *rPtr, // Red buffer
   unsigned char *gPtr,   // Green buffer
   unsigned char *bPtr,   // Blue buffer
   unsigned char *yPtr,   // Luminance buffer
   signed char *uPtr,// U Chrominance buff
   signed char *vPtr,// V Chrominance buff
   unsigned long numPixels, // Number of Pixels
   void *privateDataPtr)  // My private data
 {
 PrivateBlock* pb = (PrivateBlock*)privateDataPtr;
 unsigned long *rp = pb->rp;
 unsigned long *gbp = pb->gbp;
 unsigned char *up = pb->up;
 unsigned char *vp = pb->vp;
 unsigned long tmp;
 union {
 unsigned short i;
 unsigned char c[2];
 } gb;
 
 if (pb->sig != 'RNCS') return;
 
 for (; numPixels>0; --numPixels,++rPtr,++gPtr,++bPtr,
 ++yPtr,++uPtr,++vPtr) {
 gb.c[0] = *gPtr;//Get index into gb and v tables 
 gb.c[1] = *bPtr;
 
 tmp = rp[*rPtr] + gbp[gb.i]; //  Calculate Y value from tables
 *yPtr = *((unsigned char*)&tmp);
 
 *vPtr = (*rPtr - vp[gb.i]) >> 1;  //  Calculate V value from table
 
 gb.c[0] = *rPtr;//Get index into u table
 gb.c[1] = *gPtr;
 
#if NegToZero
 //If for Negs .5 rounds up to 0 then if R == G and R|G > B we calc special.
 if (*rPtr==*gPtr && *gPtr>*bPtr)
 *uPtr = ((*bPtr - *gPtr) + 1) >> 1;
 else
#endif
 *uPtr = (*bPtr - up[gb.i]) >> 1;  // Calculate U value from table
 }
 }


RGBtoYUVInit.c
RGBtoYUVInit.c - Sets up the tables for use by RGBtoYUV.

#include "RGBtoYUV.h"

// A fixed point number type with 8 bits of intregral part and 88 bits 
of fractional part.
typedef struct {
 unsigned long val[3];
 } BigNum;
 
typedef struct {
 BigNum y[256];
 BigNum g[256];
 BigNum b[256];
 } TempBlock;

Multiply
Multiply - Takes a BigNum and multiplies it by a number in the range 
0 - 255.  
Result is put into 'ans'.

void Multiply(void* bits, unsigned char num, void* ans)
 {
 int x;
 unsigned short* bp = (unsigned short*)bits + 5;
 unsigned short* ap = (unsigned short*)ans + 5;
 unsigned long val = 0;
 
 for (x=6; x; --x,--bp,--ap) {
 val += (unsigned long)*bp * num;
 *ap = val;
 val >>= 16;
 }
 }

Add
Add - Adds two BigNums and returns the result in 'ans'

void Add(void* bits1, void* bits2, void* ans)
 {
 int x;
 unsigned short* bp1 = (unsigned short*)bits1 + 5;
 unsigned short* bp2 = (unsigned short*)bits2 + 5;
 unsigned short* ap = (unsigned short*)ans + 5;
 unsigned long val = 0;
 
 for (x=6; x; --x,--bp1,--bp2,--ap) {
 val += (unsigned long)*bp1 + *bp2;
 *ap = val;
 val >>= 16;
 }
 }
 
RGBtoYUVInit
RGBtoYUVInit - Sets up all the tables used by the RGBtoYUV function.
 
Since accuracy is a concern, I use my own number format and routines 
to calculate tables.  It turns out that FP routines are just as accurate 
but my stuff is 3x faster.

About calculations in general:

A table with all 16M values for each of Y, U, and V would be nice but, at 48MB, would be way over 1MB limit. With minor calcs in 'RGBtoYUV' I need two 64K entry tables for each of U and V. At full precision they would be 768K each. They get reduced greatly later. The Y table I break into two tables: one for the R calcs and one for the G and B combination. At full precision they would take 3K and 768K respectively. They get reduced later also. At this point we are a lot closer to the 1MB limit.

About Y calculations:

• 24 bits of fractional precision for the two tables was found to give proper results. This was found by checking the result of rounding the full precision result against the rounding of the sum of the two table entries for EVERY one of the 16M combinations. This allows us to represent our table entries in tables of 'unsigned long's. Table sizes are thus reduced to 1K and 256K.

• Rounding is handled by adding .7FFFFFFFFFFFFFFFFFFFFF to the 'gb' table values. This allows RGBtoYUV to just truncate its result.

• When R, G, and B are all equal then Y is the same number. With the tables that are built the checking for such a limited case (256 out of 16,777,216) just added space. (To calc 16M values takes a little over 2 minutes)

About U and V in general:

• Since B and R are multipied by .5 for these calcs we can except them as 7 bits of integral part and 1 bit of fraction.

• Since the B or R calculation will always result in some number X.0 or X.5. This enables us to do all rounding in the table values. Also we are able to store the table numbers in the same 7.1 bit format.

• If rounding is always down then RGBtoYUV can just truncate after the subtraction. If rounding is to be toward zero then special handling is needed.

About V calculations:

Because of the number of decimal places and the fact that the multipliers add up to .50000001 the G and B combination will never result in exactly X.0 or X.5. Thus for V we don't need to worry about whether -0.5 rounds up or down.

About U calculations:

• The R and G combination values will result in an X.0 or X.5 result when R == G

• If rounding is always down (.5 -> 0 and -.5 -> -1) then truncation after the calculation is all that is needed.

• If rounding is always towards zero (.5 -> 0 and -.5 -> 0) then RGBtoYUV will add .5 and then truncate when R and G are equal. All other cases will still be handled with just truncation.

 
/* 4 */
void *RGBtoYUVInit(void)
 {
 short r,g,b;
 BigNum mat[] = {
    { 0x004C8B43, 0x95810624, 0xDD2F1A9F },/*.29900000*/
    { 0x009645A1, 0xCAC08312, 0x6E978D4F },/*.58700000*/
    { 0x001D2F1A, 0x9FBE76C8, 0xB4395810 },/*.11400000*/
    { 0x002B3246, 0xA4293F94, 0x6A85AFD7 },/*.16873590*/
    { 0x0054CDB9, 0x5BD6C06B, 0x957A5028 },/*.33126410*/
    { 0x00800000, 0x00000000, 0x00000000 },/*.50000000*/
    { 0x00800000, 0x00000000, 0x00000000 },/*.50000000*/
    { 0x006B2F1C, 0x4D3DA074, 0x7F2DDD88 },/*.41868760*/
    { 0x0014D0E3, 0xDDB57D4F, 0xE1EA9636 },/*.08131241*/
    { 0x007FFFFF, 0xFFFFFFFF, 0xFFFFFFFF } /*.49999999*/
    };
 unsigned long *rp, *gbp;
 BigNum *gp, *bp, *yp, yt, ut, vt, xt;
 unsigned char *up, *vp;
 PrivateBlock *pb;
 TempBlock *tb;

 pb = (PrivateBlock*)NewPtr(sizeof(PrivateBlock));
 if (pb==0) {
 DebugStr("\pOut of Memory");
 return;
 }
 pb->rp = pb->r;
 pb->gbp = pb->gb;
 pb->up = pb->u;
 pb->vp = pb->v;
 
 tb = (TempBlock*)NewPtr(sizeof(TempBlock));
 if (tb==0) {
 DebugStr("\pOut of Memory");
 return;
 }
 
// r-values never = x.0 or x.5
 rp = pb->rp;
 for (r=0; r<256; ++r,++rp) {
 Multiply(&mat[0],r,&xt);
 *rp = *((unsigned long*)&xt);
 }
 
// This method same as 0-255, 0-255 method.
// My calc routines equal SANE routines and are 3 times faster.
// u-values are never == x.0 or x.5
// v-values are never == x.0 or x.5
  yp = tb->y;
  gp = tb->g;
  bp = tb->b;
 gbp = pb->gbp;
  up = pb->up;
  vp = pb->vp;
 for (b=0; b<256; ++b,++yp,++gp,++bp,++gbp,++up,++vp) {
 Multiply(&mat[2],b,yp);
 Add(yp,&mat[9],yp);
 *gbp = *((unsigned long*)yp);
 Multiply(&mat[4],b,gp);
 // Add(gp,&mat[9],gp);
 *up = *((unsigned short*)gp) >> 7;
 Multiply(&mat[8],b,bp);
 // Add(bp,&mat[9],bp);
 *vp = *((unsigned short*)bp) >> 7;
 }
 for (g=1; g<256; ++g) {
 Multiply(&mat[1],g,&yt);
 Add(&yt,&mat[9],&xt);
 *gbp = *((unsigned long*)&xt);
 ++gbp;
 Multiply(&mat[3],g,&ut);
 // Add(&ut,&mat[9],&xt);
 *up = *((unsigned short*)&ut) >> 7;
 ++up;
 Multiply(&mat[7],g,&vt);
 // Add(&vt,&mat[9],&xt);
 *vp = *((unsigned short*)&vt) >> 7;
 ++vp;
 yp = &tb->y[1];
 gp = &tb->g[1];
 bp = &tb->b[1];
 for (b=1; b<256;
 ++b,++gbp,++yp,++up,++gp,++vp,++bp) {
 Add(&yt,yp,&xt);
 *gbp = *((unsigned long*)&xt);
 if (g==b) {
 *up = b;
 *vp = b;
 }
 else {
 Add(&ut,gp,&xt);
 *up = *((unsigned short*)&xt) >> 7;
 Add(&vt,bp,&xt);
 *vp = *((unsigned short*)&xt) >> 7;
 }
 }
 }
 
 if (tb!=0)
 DisposPtr((Ptr)tb);

 pb->sig = 'RNCS';
 return pb;
 }







  
 
AAPL
$101.79
Apple Inc.
+0.21
MSFT
$46.68
Microsoft Corpora
+0.16
GOOG
$589.27
Google Inc.
+4.50

MacTech Search:
Community Search:

Software Updates via MacUpdate

Quicken 2015 2.0.4 - Complete personal f...
Quicken 2015 helps you manage all your personal finances in one place, so you can see where you're spending and where you can save. Quicken automatically categorizes your financial transactions,... Read more
iMazing 1.0 - Complete iOS device manage...
iMazing (formerly DiskAid) is the ultimate iOS device manager with capabilities far beyond what iTunes offers. With iMazing and your iOS device (iPhone, iPad, or iPod), you can: Copy music to and... Read more
Xcode 6.0.1 - Integrated development env...
Apple Xcode is Apple Computer's integrated development environment (IDE) for OS X. The full Xcode package is free to ADC members and includes all the tools you need to create, debug, and optimize... Read more
Apple Safari 7.1 - Apple's Web brow...
Apple Safari in OS X Mavericks brings you all-new ways to find and enjoy the best of the web. It works with iCloud to give you a seamless browsing experience across all your devices. It looks out for... Read more
Delivery Status 6.1.2 - Check delivery s...
Delivery Status displays delivery status of packages for a variety of shipment services. Can't wait for your packages to arrive? Don't waste your time checking the site constantly, just open this all... Read more
Mavericks Cache Cleaner 8.0.9 - Clear ca...
Mavericks Cache Cleaner is an award-winning general purpose tool for OS X. MCC makes system maintenance simple with an easy point-and-click interface to many OS X functions. Novice and expert users... Read more
OneNote 15.2.2 - Free digital notebook f...
OneNote is your very own digital notebook. With OneNote, you can capture that flash of genius, that moment of inspiration, or that list of errands that's too important to forget. Whether you're at... Read more
Apple Configurator 1.6 - Configure and d...
Apple Configurator makes it easy for anyone to mass configure and deploy iPhone, iPad, and iPod touch in a school, business, or institution. Three simple workflows let you prepare new iOS devices... Read more
SpamSieve 2.9.16 - Robust spam filter fo...
SpamSieve is a robust spam filter for major email clients that uses powerful Bayesian spam filtering. SpamSieve understands what your spam looks like in order to block it all, but also learns what... Read more
OS X Server 3.2.1 - For OS X 10.9.5 Mave...
OS X Server is the next generation of Apple's award winning server software. Designed for OS X and iOS devices, OS X Server makes it easy to share files, schedule meetings, synchronize contacts, host... Read more

Latest Forum Discussions

See All

Down Among the Dead Men (Games)
Down Among the Dead Men 1.0 Device: iOS Universal Category: Games Price: $.99, Version: 1.0 (iTunes) Description: Avast! Take to the high seas in a fully interactive piratical tale of broadsides and buccaneers. From author Dave... | Read more »
Sling Adds Chromecast Support Through Sl...
Sling Adds Chromecast Support Through Slingplaye​r Mobile Apps Posted by Jessica Fisher on September 18th, 2014 [ permalink ] | Read more »
How to Completely Delete Your iPhone’s C...
The iPhone 6 is out tomorrow, and plenty of people are excited about it. So much so that they’re planning to – or already have – traded in their old iPhone to go towards it. The thing about trading in hardware is it’s very important to make sure... | Read more »
Dragon Quest I Review
Dragon Quest I Review By Andrew Fisher on September 18th, 2014 Our Rating: :: THINE QUEST AWAITETHUniversal App - Designed for iPhone and iPad Its historical significance aside, Dragon Quest 1 is a fun, campy, difficult, thoroughly... | Read more »
It Came From Canada: Overkill 3
Overkill 3 is like every trope of big modern gaming rolled into one. It’s a sequel to an action-packed military shooter. It’s flashy and scripted and flaunts its sophisticated graphics. And it’s a mobile game with a heavy emphasis on in-app... | Read more »
New Modes and Leader Boards in Update fo...
New Modes and Leader Boards in Update for Rules! Posted by Jessica Fisher on September 18th, 2014 [ permalink ] Universal App - Designed for iPhone and iPad | Read more »
TwistedRun Review
TwistedRun Review By Rob Thomas on September 18th, 2014 Our Rating: :: DON'T TWIST YOUR ANKLE!Universal App - Designed for iPhone and iPad TwistedRun is kind of like running up a giant curly fry into the sky. Or maybe that was just... | Read more »
Scope Review
Scope Review By Jennifer Allen on September 18th, 2014 Our Rating: :: LOCATION AWAREiPhone App - Designed for the iPhone, compatible with the iPad Want to easily find photos from around the world based on their location? Scope is a... | Read more »
HipstaFox Review
HipstaFox Review By Jordan Minor on September 18th, 2014 Our Rating: :: FANTASTIC MR. FOXUniversal App - Designed for iPhone and iPad HipstaFox is a great single that makes players long for the whole album.   | Read more »
Ninja Raft (Games)
Ninja Raft 1.0 Device: iOS Universal Category: Games Price: $.99, Version: 1.0 (iTunes) Description: ** Special Launch Price ** "Ninja Raft is definitely the game to play if you’re into Tower Defense games and want to play something... | Read more »

Price Scanner via MacPrices.net

Save up to $300 on the price of a new Mac wit...
Purchase a new Mac or iPad at The Apple Store for Education and take up to $300 off MSRP. All teachers, students, and staff of any educational institution qualify for the discount. Shipping is free,... Read more
13-inch 2.8GHz Retina MacBook Pro available f...
B&H Photo has the new 2014 13″ 2.8GHz Retina MacBook Pro on sale for $1699.99 including free shipping plus NY sales tax only. They’ll also include free copies of Parallels Desktop and LoJack for... Read more
16GB iPad Air on sale for $449, save $50
Walmart has the 16GB iPad Air WiFi on sale for $449 on their online store for a limited time. Choose free home shipping or free local store pickup. Their price represents a $50 savings over standard... Read more
13-inch 256GB MacBook Air on sale for $1099,...
B&H Photo has the 2014 13″ 1.4GHz 256GB MacBook Air on sale for $1099.99. Shipping is free, and B&H charges NY sales tax only. Their price is $100 off MSRP. Read more
Toshiba Introduces TransMemory ID High-Speed...
Toshiba’s Digital Products Division (DPD), a division of Toshiba America Information Systems, Inc., today introduced the TransMemory ID USB 3.0 Flash Drive, a simpler storage solution for people who... Read more
New iPads and OS X Yosemite Release Coming Oc...
The DailyDot’s Micah Singleton reports that Apple is planning to hold its next product announcement event on Oct. 21, at which it will unveil the iPad Air 2 and iPad mini 3 and release a final build... Read more
Logitech Bluetooth Multi-Device Cross-Platfor...
Logitech has an enviable track record of making some of the best computer keyboards and mice. At least in my estimation, the best freestanding keyboards I’ve ever used have been Logitech units,... Read more
Roundup of Apple refurbished iPad Airs and iP...
Apple is offering Certified Refurbished iPad Airs for up to $140 off MSRP. Apple’s one-year warranty is included with each model, and shipping is free. Stock tends to come and go with some of these... Read more
Sprint offers 16GB iPad mini for $199.99 with...
Sprint is offering 1st generation 16GB iPad minis for $199.99 with a 2-year service agreement. Standard MSRP for this iPad is $429. Their price is the lowest available for this model. Read more
2.5GHz Mac mini remains on sale for $549, sav...
B&H Photo has the 2.5GHz Mac mini on sale for $549.99 including free shipping. That’s $50 off MSRP, and B&H will also include a free copy of Parallels Desktop software. NY sales tax only. Read more

Jobs Board

Project Manager, *Apple* Financial Services...
**Job Summary** Apple Financial Services (AFS) offers consumers, businesses and educational institutions ways to finance Apple purchases. We work with national and Read more
*Apple* Retail - Multiple Positions (US) - A...
Sales Specialist - Retail Customer Service and Sales Transform Apple Store visitors into loyal Apple customers. When customers enter the store, you're also the Read more
*Apple* Retail - Multiple Positions (US) - A...
Sales Specialist - Retail Customer Service and Sales Transform Apple Store visitors into loyal Apple customers. When customers enter the store, you're also the Read more
*Apple* Retail - Multiple Positions (US) - A...
Sales Specialist - Retail Customer Service and Sales Transform Apple Store visitors into loyal Apple customers. When customers enter the store, you're also the Read more
*Apple* Retail - Multiple Positions (US) - A...
Sales Specialist - Retail Customer Service and Sales Transform Apple Store visitors into loyal Apple customers. When customers enter the store, you're also the Read more
All contents are Copyright 1984-2011 by Xplain Corporation. All rights reserved. Theme designed by Icreon.