TweetFollow Us on Twitter

Aug 94 Challenge
Volume Number:10
Issue Number:8
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.


When writing programmer utilities like disassemblers, disk editors and memory viewers it’s useful to have around a very fast “dump” routine that takes a bunch of bytes and displays them in hex and ascii. The MPW tool DumpFile encompasses most of the desired functionality. This month’s challenge is to write a fast version of some of the DumpFile functionality.

The prototype of the function you write is:

/* 1 */
unsigned short
DumpBytes(inputBytes, outputText,
 numInputBytes, maxOutputBytes,
 width, grouping)
unsigned short numInputBytes;
unsigned short maxOutputBytes;
unsigned short width;
unsigned short grouping;

inputBytes and outputText are the pointers to the input bytes (which you’re trying to display) and the output text (which is all printable ascii, ready to display). numInputBytes is the number of input bytes you have to work with (more than zero) and maxOutputBytes is the size of the buffer that outputText points to. The return value of the function is the actual number of output bytes created by DumpBytes and will always be less than or equal to maxOutputBytes (or zero if there’s output buffer overflow). Like the DumpFile tool, the width parameter is the number of input bytes to display on each output line (it will be from 1 to 64 with 16 being given more weight than the other values) and grouping is the number of output bytes to group together without intervening spaces (also from 1 to 64 with 1, 2 and 4 being given more wight than the other values). The width parameter will always be a multiple of the grouping parameter.

Here are a few examples (the comments describe the parameters but are not part of the actual output):

/* 2 */
/* width = 8, grouping = 1 */
 0: 23 09 53 74 61 72 74 75 #.Startu
 8: 70 20 2D 20 4D 50 57 20 p.-.MPW.
 10: 53 68 65 6C 6C 20 53 74 Shell.St

/* width = 8, grouping = 8 */
 0: 2309537461727475 #.Startu
 8: 70202D204D505720 p.-.MPW.
 10: 5368656C6C205374 Shell.St

/* width = 9, grouping = 3 */
 0: 230953 746172 747570 #.Startup
 9: 202D20 4D5057 205368 .-.MPW.Sh
 12: 656C6C 205374 617274 ell.Start

Non-printable characters should be represented by a dot ‘.’ in the ascii section of the output. You can print a space character as a space or a dot (your choice). When in doubt on how to handle a certain situation, check the MPW DumpFile tool and do what it does (or something very similar). As always, I’m available for questions in case something is not clear (see the e-mail addresses section).

You should be careful about parameters that will cause you to output more bytes than the maxOutputBytes will allow. If you run out of output buffer space then just fill it up as much as you can and return 0. I won’t be testing the output overflow cases much because the goal of this exercise it to have a very fast hex and ascii displayer. If someone were to actually use the code it is assumed that they would know the context and provide an output buffer that was always large enough (and assert that the return value was not zero).

Two Months Ago Winner

Congratulations to Bob Boonstra (Westford, MA) for reclaiming the title of the Programmer Challenge Champion this month. This month’s win brings his 1st place totals to four, which is more than anyone else. Like Bob, second place winner Allen Stenger (Gardena, CA) also based his solution on Fermat’s algorithm but ended up with an implementation that was not quite as fast as Bob’s. Third place winner Ernst Munter (Kanata, ON, Canada) chose a different route and first implemented his solution in 386 assembly (!) and then wrote some graphics routines to illustrate the behavior of his code in order to help him optimize further. But in the end he says he didn’t have enough time to do as much as he would have liked to his C version.

Here are the code sizes and times. The time1 numbers are the times to factor some 64 bit numbers while the time2 numbers are the times to factor some 32 bit numbers (where highHalf is zero), which was not given much weight when ranking (but it’s interesting to see how some people optimized for this case). 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 time1 time2 code

Bob Boonstra (9) 5 7 820

Allen Stenger (6) 11 24 896

Ernst Munter 15 2 1190

John Raley 25 186 520

Liber, Anspach, Phillips 436 14 620

Clement Goebel (3) 1094 1 1026

Jim Lloyd (1) 3920 20 4279

Alex Novickis 18800 53 9542

Bob’s code is well commented so I won’t go over it here. Also, for a discussion of Fermat’s factoring algorithm you can check out The Art of Computer Programming, v.2, by Donald Knuth.

One thing that made this problem slightly harder than normal was that you had to work with 64 bit integers. Allen Stenger ended up creating his own set of double-long macros which I’ll give here because they might come in handy some day if you ever have to work with 64 bit integers:

/* 3 */
#define OVERFLOW(x) (0 != (0x80000000 & (x)))

#define DOCARRY(x) { x ## high++; x ## low &= 0x7FFFFFFF;}
#define DOBORROW(x) { x ## high--; x ## low &= 0x7FFFFFFF;}
#define GT_ZERO(x) ((x ## high >= 0) && (x ## low != 0)) 
#define EQ_ZERO(x) ((x ## high == 0) && (x ## low == 0)) 
#define LT_ZERO(x) ((x ## high < 0)) 

#define INCR(x,a) {if (OVERFLOW(x ## low += a)) DOCARRY(x);}
#define DECR(x,a) {if (OVERFLOW(x ## low -= a)) DOBORROW(x);}
#define PLUS_EQUALS(x, y) { \
 x ## high += y ## high;  \
 if (OVERFLOW(x ## low += y ## low))\

#define MINUS_EQUALS(x, y) { \
 x ## high -= y ## high;  \
 if (OVERFLOW(x ## low -= y ## low))\

Here’s Bob’s winning solution:

Solution strategy

Factoring is a field which has been the subject of a great deal of research because of the implications for cryptography, especially techniques that depend on the difficulty of factoring very large numbers. Therefore, it is possible that some of these algorithms could be applied to the challenge.

However, in the event that no mathematician specializing in the field chooses to enter the Challenge, this relatively simple solution takes advantage of some of the simplifying conditions in the problem statement:

1) the numbers are relatively small (64 bits, or ~<20 digits)

2) the prime factors are even smaller (32 bits, or ~<10 digits)

This solution depends on no precomputed information. It is based on Fermat's algorithm, described in Knuth Vol II, which is especially well suited to the problem because it is most efficient when the two p, [sorry, the rest of the sentence was missing - Ed stb]

Fermat's algorithm requires ~(p-1)sqrt(n) iterations, where n=u*v and u~=p*sqrt(n), v~=sqrt(n)/p. Other algorithms require half as many iterations, but require more calculation per iteration.

Fermat's algorithm works as follows:

1) Let n - u*v, u and v odd primes.

2) Set a = (u+v)/2 and b = (u-v)/2.

3) Then n = uv = a**2 - b**2

4) Initialize a = trunc(sqrt(n)), b=0, r=a**2-b**2-n

5) Iterate looking for r==0, with an inner loop that keeps a=(u+v)/2 constant and increases b=(u-v)/2 by 1 each iteration until r becomes negative. When this happens, the halfsum a is increased by 1, and the difference loop is repeated.

The algorithm in Knuth uses auxiliary variables x,y for efficiency, where x = 2*a+1 and y = 2*b+1

This works fine in most cases, but causes overflow of a longword when x,y are the full 32-bits in size. So we have augmented the algorithm to deal with this case.

This solution also uses an efficient integer sqrt algorithm due to Ron Hunsinger, and extends that algorithm to 64 bits.

/* 4 */
#pragma options(assign_registers,honor_register)

#define ulong unsigned long
#define ushort unsigned short

#define kLo16Bits 0xFFFF
#define kHiBit 0x80000000UL
#define kLo2Bits 3
#define kLo1Bit 1

Macros RightShift2 and RightShift1 shift a 64-bit value right by 2 and 
1 bits, respectively.
#define RightShift32By2(xL,xH)                            \
{                                                         \
  xL >>= 2;                                               \
  xL |= (xH & kLo2Bits)<<30;                              \
  xH >>= 2;                                               \

#define RightShift32By1(xL,xH)                            \
{                                                         \
  xL >>= 1;                                               \
  xL |= (xH & kLo1Bit)<<31;                               \
  xH >>= 1;                                               \

Macros Add32To64 (Sub32From64) add (subtract) a 32-bit value to (from) 
a 64-bit value.
#define Add32To64(rL,rH, a)                               \
  temp = rL;                                              \
  if ((rL += a) < temp) ++rH;

#define Add2NPlus1To64(lowR,highR,a)                      \
  Add32To64(lowR,highR,a);                                \
  Add32To64(lowR,highR,a);                                \

#define Sub32From64(rL,rH, s)                             \
  temp = rL;                                              \
  if ((rL -= s) > temp) --rH;

#define Sub2NPlus1From64(lowR,highR,s)                    \
  Sub32From64(lowR,highR,s);                              \
  Sub32From64(lowR,highR,s);                              \

//Macros Add64 (Sub64) add (subtract) two 64-bit values.
#define Add64(qL,qH, eL,eH)                               \
  Add32To64(qL,qH,eL);                                    \
  qH += eH;

#define Sub64(qL,qH, eL,eH)                               \
  Sub32From64(qL,qH, eL);                                 \
  qH -= eH;

Macro Square64 multiplies a 32-bit value by itself to produce the square 
as a 64-bit value.  For this solution, we only need to execute this macro 
expansion once.
#define Square64(a,rL,rH,temp)                            \
{                                                         \
  ulong lohi,lolo,hihi;                                   \
  ushort aHi,aLo;                                         \
  aHi = a>>16;                                            \
  aLo = a;                                                \
  rL = (lolo = (ulong)aLo*aLo)&kLo16Bits;                 \
  lohi = (ulong)aLo*aHi;                                  \
  temp = ((lohi&kLo16Bits)<<1) + (lolo>>16);              \
  rL |= temp<<16;                                         \
  temp>>=16;                                              \
  temp += ((hihi = (ulong)aHi*aHi)&kLo16Bits) +           \
                             (lohi>>(16-1));              \
  rH = temp&kLo16Bits;                                    \
  temp>>=16;                                              \
  temp += hihi>>16;                                       \
  rH |= temp<<16;                                         \

Macros LessEqualZero64 and EqualZero64 determine if 64-bit (signed) values 
are <= 0 or == 0, respectively.
#define LessEqualZero64(vL,vH)                            \
    ( (0>(long)vH) || ((0==vH) && (0==vL)) )

#define EqualZero64(vL,vH)                                \
     ((0==vL) && (0==vH))

//Macro LessEqual64 determines if one 64-bit quantity is less than or 
equal to another.
#define LessEqual64(uL,uH, vL,vH)                         \
    ( (uH< vH) || ((uH==vH) && (uL<=vL)))

//Function prototypes.
ulong sqrt64 (ulong nLo,ulong nHi);
void Factor64(ulong lowHalf,ulong highHalf,
              ulong *prime1Ptr,ulong *prime2Ptr);
The solution ...
void Factor64(lowHalf,highHalf,prime1Ptr,prime2Ptr)
unsigned long lowHalf,highHalf;
unsigned long *prime1Ptr,*prime2Ptr;
register ulong x,y,lowR,highR;
register ulong temp;
ulong sqrtN;

Fermat's algorithm (Knuth)

Assume n=u*v, u<v, n odd, u,v odd
Let a=(u+v)/2  b=(u-v)/2  n=a**2-b**2  0<=y<x<=n
Search for a,b that satisfy x**2-y**2-n==0

NOTE:  u,v given as being < 2**32 (fit in one word).  Therefore a,b also 
are < 2**32 (and fit in one word).

C1: Set x=2*floor(srt(n))+1,
     x corresponds to 2a+1, y to 2b+1, r to a**2-b**2-n
C2: if r<=0 goto C4
       (algorithm modified to keep r positive)
C3: r=r-y, y=y+2,
     goto C2
C4: if (r==0) terminate with n = p*q,
         p=(x-y)/2, q=(x+y-2)/2
C5: r=r+x, x=x+2,
     goto C3

This solution modifies the algorithm to:
(1) reorder arithmetic on r to keep it positive
(2) extend r to 64 bits when necessary
(3) handle the trivial case where one of the primes is 2.
//Handle the trivial case with an even prime factor.
  if (0 == (lowHalf&1)) {
    *prime1Ptr = 2;
    *prime2Ptr = (lowHalf>>1) | ((highHalf&kLo1Bit)<<31);
//Compute truncated square root of input 64-bit number.
  sqrtN = temp = sqrt64(lowHalf,highHalf);
//Initialize r to s*s - n, but calculate n-s*s to keep r positive, and 
fix later when it is time
//to add x to r by calculating r = x - (n-s*s).
  Sub64(lowHalf,highHalf, lowR,highR);
//Handle perfect square case.
  if ((0==highHalf) && (0==lowHalf)) {
    *prime1Ptr = *prime2Ptr = sqrtN;
  y = 1;
  highR = 0;
//Separate out the overflow case where x=2a+1 does not fit into a long 
  if ((temp=sqrtN) >= kHiBit-1) goto doLargeX;
//If sqrt(n) < 0x80000000, then 2*sqrt(n)+1 fits in one long word.  
//Also, n-trunc(sqrt(n))**2 < 2*trunc(sqrt(n)) also fits in a long word.
  x = 1+2*temp;
  lowR = x - lowHalf;
  x += 2;
  do {
    if (lowR<=y) break;
    lowR -= y;
    y += 2;
  } while (true); /* exit when r<=y */
  if (y==lowR) {
    *prime1Ptr = (x-y-2)>>1;
    *prime2Ptr = (x+y)>>1;
  lowR += (x-y);
  y += 2;
//Fall through to modified algorithm if x overflows a long word.
  if ((x += 2) < (ulong)0xFFFFFFFF-2) goto C2;
Adjust x and y to guarantee they will not overflow.  This requires some 
extra arithmetic to add 2*a+1 and subtract 2*b+1, but that is preferable 
to using two longs to represent each of x and y.
  goto C3L;

//x=2*a+1 no longer fits in 32 bits, so we sacrifice a little loop efficiency 
and let x=a. //Likewise, we let y=b instead of 2*b+1.
  lowR = x = temp;
  Sub64(lowR,highR, lowHalf,highHalf);
  do {
    if ( LessEqualZero64(lowR,highR) ) break;
  } while (true); /* exit when lowR,highR<=0 */
  if ( EqualZero64(lowR,highR)) {
    *prime1Ptr = x-y;
    *prime2Ptr = x+y;
  goto C3L;

//sqrt_max4pow is the largest power of 4 that can be represented in an 
unsigned long.
#define sqrt_max4pow (1UL << 30)
//undef sqrt_truncate if rounded sqrts are desired; for the factoring 
problem we want
//truncated sqrts.
#define sqrt_truncate

//sqrt64 is based on code posted by Ron Hunsinger to comp.sys.mac.programmer. 
//Modified to handle 64-bit values.
ulong sqrt64 (ulong lowN, ulong highN) {
Compute the integer square root of the integer argument n.  Method is 
to divide n by x computing the quotient x and remainder r.  Notice that 
the divisor x is changing as the quotient x changes.
 Instead of shifting the dividend/remainder left, we shift the quotient/divisor 
right.  The binary point starts at the extreme left, and shifts two bits 
at a time to the extreme right.
 The residue contains n-x**2.  Since (x + 1/2)**2 == x**2 + x + 1/4, 

n - (x + 1/2)**2 == (n - x**2) - (x + 1/4)
 Thus, we can increase x by 1/2 if we decrease (n-x**2) by (x+1/4)
  register ulong lowResidue,highResidue; /* n - x**2 */
  register ulong lowRoot,highRoot;       /* x + 1/4 */
  register ulong half;                   /* 1/2     */
  ulong highhalf,lowhalf,temp;

  lowResidue = lowN;
  if (0 != (highResidue = highN)) {
//This code extends the original algorithm from 32 bits to 64 bits. 
// It parallels the 32-bit code; see below for comments.
    highRoot = sqrt_max4pow; lowRoot = 0;
    while (highRoot>highResidue)
    Sub64(lowResidue,highResidue, lowRoot,highRoot);
//The binary point for half is now in the high order of two 32-bit words 

//representing the 64-bit value.
    lowhalf = lowRoot; highhalf = highRoot;
    Add64(lowRoot,highRoot, lowhalf,highhalf);
    if (0==highhalf) goto sqrt2;
    half = highhalf<<1;
    do {
      if (LessEqual64(lowRoot,highRoot,lowResidue,highResidue))
        highResidue -= highRoot;
        highRoot += half;
      if (0 == (half>>=2)) {
        half = sqrt_max4pow<<1;
        goto sqrt2a;
      highRoot -= half;
      highRoot >>= 1;
    } while (true);
//The binary point for half is now in the lower of the two 32-bit words 

//representing the 64-bit value.
    half = lowhalf<<1;
    do {
      if ((0==highResidue) && (0==highRoot)) goto sqrt3;
      if (LessEqual64(lowRoot,highRoot,lowResidue,
                            highResidue)) {
        Sub64(lowResidue,highResidue, lowRoot,highRoot);
      half >>= 2;
    } while (half);
  } else /* if (0 == highResidue) */ {
#ifndef sqrt_truncate
    if (lowResidue <= 12)
      return (0x03FFEA94 >> (lowResidue *= 2)) & 3;
    if (lowResidue <= 15)
      return (0xFFFEAA54 >> (lowResidue *= 2)) & 3;
    lowRoot = sqrt_max4pow;
    while (lowRoot>lowResidue) lowRoot>>=2;

//Decrease (n-x**2) by (0+1/4)
    lowResidue -= lowRoot;
//1/4, with binary point shifted right 2
    half = lowRoot >> 2;
//x=1.  (lowRoot is now (x=1)+1/4.)
    lowRoot += half;
//1/2, properly aligned
    half <<= 1;

//Normal loop (there is at least one iteration remaining)
    do {
      if (lowRoot <= lowResidue) {
// Whenever we can, decrease (n-x**2) by (x+1/4)
        lowResidue -= lowRoot;
        lowRoot += half;
//Shift binary point 2 places right
      half >>= 2;
//x{+1/2}+1/4 - 1/8 == x{+1/2}+1/8
      lowRoot -= half;
//2x{+1}+1/4, shifted right 2 places
      lowRoot >>= 1;
//When 1/2 == 0, bin point is at far right
    } while (half);
#ifndef sqrt_truncate
  if (lowRoot < lowResidue) ++lowRoot;

//Return value guaranteed to be correctly rounded (or truncated)
    return lowRoot;


Community Search:
MacTech Search:

Software Updates via MacUpdate

BBEdit 11.6.6 - Powerful text and HTML e...
BBEdit is the leading professional HTML and text editor for the Mac. Specifically crafted in response to the needs of Web authors and software developers, this award-winning product provides a... Read more
Brackets 1.9.0 - Open Source Web design...
Brackets is an Open-Source editor for Web design and development built on top of Web technologies such as HTML, CSS, and JavaScript. The project was created and is maintained by Adobe, and is... Read more
Audio Hijack 3.3.4 - Record and enhance...
Audio Hijack (was Audio Hijack Pro) drastically changes the way you use audio on your computer, giving you the freedom to listen to audio when you want and how you want. Record and enhance any audio... Read more
Tunnelblick 3.7.1a - GUI for OpenVPN.
Tunnelblick is a free, open source graphic user interface for OpenVPN on OS X. It provides easy control of OpenVPN client and/or server connections. It comes as a ready-to-use application with all... Read more
Amazon Chime 4.3.5721 - Amazon-based com...
Amazon Chime is a communications service that transforms online meetings with a secure, easy-to-use application that you can trust. Amazon Chime works seamlessly across your devices so that you can... Read more
Posterino 3.3.7 - Create posters, collag...
Posterino offers enhanced customization and flexibility including a variety of new, stylish templates featuring grids of identical or odd-sized image boxes. You can customize the size and shape of... Read more
Airmail 3.2.9 - Powerful, minimal email...
Airmail is an mail client with fast performance and intuitive interaction. Support for iCloud, MS Exchange, Gmail, Google Apps, IMAP, POP3, Yahoo!, AOL,, Airmail was designed... Read more
Arq 5.8.4 - Online backup to Google Driv...
Arq is super-easy online backup for Mac and Windows computers. Back up to your own cloud account (Amazon Cloud Drive, Google Drive, Dropbox, OneDrive, Google Cloud Storage, any S3-compatible server... Read more
Microsoft Remote Desktop 8.0.39 - Connec...
With Microsoft Remote Desktop, you can connect to a remote PC and your work resources from almost anywhere. Experience the power of Windows with RemoteFX in a Remote Desktop client designed to help... Read more
Arq 5.8.4 - Online backup to Google Driv...
Arq is super-easy online backup for Mac and Windows computers. Back up to your own cloud account (Amazon Cloud Drive, Google Drive, Dropbox, OneDrive, Google Cloud Storage, any S3-compatible server... Read more

Latest Forum Discussions

See All

Clash of Clans' gets a huge new upd...
Clash of Clans just got a massive new update, and that's not hyperbole. The update easily tacks on a whole new game's worth of content to the hit base building game. In the update, that mysterious boat on the edge of the map has been repaired and... | Read more »
Thimbleweed Park officially headed to iO...
Welp, it's official. Thimbleweed Park will be getting a mobile version. After lots of wondering and speculation, the developers confirmed it today. Thimbleweed Park will be available on both iOS and Android sometime in the near future. There's no... | Read more »
Pokémon GO might be getting legendaries...
The long-awaited legendary Pokémon may soon be coming to Pokémon GO at long last. Data miners have already discovered that the legendary birds, Articuno, Moltres, and Zapdos are already in the game, it’s just a matter of time. [Read more] | Read more »
The best deals on the App Store this wee...
If you’ve got the Monday blues we have just the thing to cheer you up. The week is shaping up to be a spectacular one for sales. We’ve got a bunch of well-loved indie games at discounted prices this week along with a few that are a little more... | Read more »
Honor 8 Pro, a great choice for gamers
Honor is making strides to bring its brand to the forefront of mobile gaming with its latest phone, the Honor 8 Pro. The Pro sets itself apart from its predecessor, the Honor 8, with a host of premium updates that boost the device’s graphical and... | Read more »
The 4 best outdoor adventure apps
Now that we're well into the pleasant, warmer months, it's time to start making the most of the great outdoors. Spring and summer are ideal times for a bit of trekking or exploration. You don't have to go it alone, though. There are plenty of... | Read more »
Things 3 (Productivity)
Things 3 3.0.1 Device: iOS iPhone Category: Productivity Price: $7.99, Version: 3.0.1 (iTunes) Description: Meet the all-new Things! A complete rethinking of the original, award-winning task manager – with a perfect balance between... | Read more »
Oddball mash-up Arkanoid vs Space Invade...
In a move no one was really expecting, Square Enix has put forth an Arkanoid/Space Invaders mash-up aptly titled Arkanoid vs Space Invaders. The game launched today on both iOS and Android and the reviews are actually quite good. [Read more] | Read more »
Arkanoid vs Space Invaders (Games)
Arkanoid vs Space Invaders 1.0 Device: iOS Universal Category: Games Price: $3.99, Version: 1.0 (iTunes) Description: LAUNCH SALE: GET THE GAME AT 20% OFF! Two of the most iconic classic games ever made meet in Arkanoid vs Space... | Read more »
The best new games we played this week
Things got off to a bit of a slow start this week, but as we steadily creep towards Friday a bunch of great games have started cropping up. If you're looking for a quality new release to play this weekend, we've got you covered. Here's a handy... | Read more »

Price Scanner via

touchbyte Releases PhotoSync 3.2 for iOS With...
Hamburg, Germany based touchbyte has announced the release of PhotoSync 3.2 for iOS, a major upgrade to the versatile and powerful app to transfer, backup and share photos and videos over the air.... Read more
Emerson Adds Touchscreen Display and Apple Ho...
Emerson has announced the next evolution of its nationally recognized smart thermostat. The new Sensi Touch Wi-Fi Thermostat combines proven smarthome technology with a color touchscreen display and... Read more
SurfPro VPN for Mac Protects Data While Offer...
XwaveSoft has announced announce the release and immediate availability of SurfPro VPN 1.0, their secure VPN client for macOS. SurfPro VPN allows Mac users to protect their internet traffic from... Read more
13-inch Touch Bar MacBook Pros on sale for $1...
B&H Photo has 13″ MacBook Pros in stock today for up to $150 off MSRP. Shipping is free, and B&H charges NY & NJ sales tax only: - 13″ 2.9GHz/512GB Touch Bar MacBook Pro Space Gray (... Read more
Tuesday deal: $200 off 27-inch Apple iMacs
Amazon has select 27″ iMacs on sale for $200 off MSRP, each including free shipping: - 27″ 3.3GHz iMac 5K: $2099 $200 off MSRP - 27″ 3.2GHz/1TB Fusion iMac 5K: $1799 $200 off MSRP Keep an eye on our... Read more
Five To Six Million 10.5-inch iPad Pro Tablet...
Digitimes’ Siu Han and Joseph Tsai report that upstream supply chain shipments for Apple’s new 10.5-inch iPad Pro have been increasing, with monthly shipment volume expected to hit 600,000 units by... Read more
Georgia Tech Students Win Toyota and Net Impa...
Earlier this year, a team of students at Georgia Tech realized that there was a critical gap in transportation services for people who use wheelchairs, and wondered if the solution could be in the... Read more
13-inch 2.0GHz Space Gray MacBook Pro on sale...
Amazon has the 13″ 2.0GHz Space Gray non-Touch Bar MacBook Pro (MLL42LL/A) on sale for $1299.99 including free shipping. Their price is $200 off MSRP, and it’s currently the lowest price available... Read more
Roundup of 15-inch MacBook Pro sale prices, m...
B&H Photo has the new 2016 15″ Apple Touch Bar MacBook Pros in stock today and on sale for up to $200 off MSRP. Shipping is free, and B&H charges NY & NJ sales tax only: - 15″ 2.7GHz... Read more
15-inch 2.2GHz Retina MacBook Pro on sale for...
B&H Photo has the 2015 15″ 2.2GHz Retina MacBook Pro (MJLQ2LL/A) on sale for $1849 including free shipping plus NY & NJ sales tax only. Their price is $150 off MSRP. Read more

Jobs Board

*Apple* Media Products - Commerce Engineerin...
Apple Media Products - Commerce Engineering Manager Job Number: 57037480 Santa Clara Valley, California, United States Posted: Apr. 18, 2017 Weekly Hours: 40.00 Job Read more
*Apple* Technical Support - Atrilogy (United...
Our direct client is looking for an Apple Technical Support / Apple Help Desk Specialist for a Full Time Direct Hire role in West Los Angeles by Playa Vista, CA Read more
*Apple* Media Products - Commerce Engineerin...
Apple Media Products - Commerce Engineering Manager Job Number: 57037480 Santa Clara Valley, California, United States Posted: Apr. 18, 2017 Weekly Hours: 40.00 Job Read more
Director *Apple* Platform, IS Data Manageme...
…a real difference. Come, shine with us! Astellas is announcing a Director Apple Platform, IS Data Management Lead opportunity in Northbrook, IL. Purpose & Scope: Read more
Director *Apple* ERP Integration Lead - Ast...
…make a real difference. Come, shine with us! Astellas is announcing a Director Apple ERP Integration Lead opportunity in Northbrook, IL. Purpose & Scope: This role Read more
All contents are Copyright 1984-2011 by Xplain Corporation. All rights reserved. Theme designed by Icreon.