TweetFollow Us on Twitter

Dec 96 Challenge
Volume Number:12
Issue Number:12
Column Tag:Programmer’s Challenge

Programmer’s Challenge

by Bob Boonstra

Tangrams

The Challenge this month is to write code that will solve a tangram puzzle - that is, reassemble a two-dimensional shape that has been cut into a number of smaller shapes. The classic tangram consists of five right triangles of three different sizes, a square, and a rhomboid that are to be reassembled into a larger square. Your code will have to deal with a more general set of polygons. The prototype for the code you should write is:

#define kMaxVertices 10

typedef struct MyVertex {
 float  h;/* horizontal coordinate of vertex */
 float  v;/* vertical coordinate of vertex */
} MyVertex;

typedef struct MyPolygon {
    long     numVertices;/* number of vertices in polygon */
    MyVertex vertex[kMaxVertices];        /* vertex coordinates */
} MyPolygon;

typedef struct MyTransform {
    float     flipH;         /* optionally flip polygon about this horiz coordinate */
    float     rotateClockwise;      /* then rotate polygon clockwise by this many                                        
    radians */
    float     rotateCenterH;   /* around the point with this horiz coordinate */
    float     rotateCenterV;   /* and with this vertical coordinate */
    float     translateH;    /* then translate horizontally by this amount */
 float  translateV;/* then translate vertically by this amount */
    Boolean doFilp;                /* only perform flip if this is TRUE */
} MyTransform;

void SolveTangram(
    MyPolygon     *theShape,          /* shape to be reassembled */
    long     numHoles,            /* shape has this many holes (>=0) */
    MyPolygon     *theHoles[],  /* pointers to polygons that form the holes */
    long     numPieces,   /* number of pieces to reassemble */
    MyPolygon     *thePieces[],      /* shape and position of pieces to reassemble */
    MyTransform *theXForms[]      /* reassembly transforms corresponding to  thePieces */
);

The shape to be reassembled is a polygon pointed to by theShape, except that the reassembled shape may have some holes in it. The number of holes, which might be zero, is provided by numHoles, and the shape of the i-th hole is a polygon pointed to by theHoles[i]. You are to reassemble theShape using numPieces polygons pointed to by thePieces[]. For each piece, you should transform it to its correct position by optionally flipping it about a vertical axis, rotating it, and translating it, in that order. For the j-th piece, you should store the required transformation in the structure pointed to by theXForms[j]. Set doFilp to FALSE if no flip is needed, otherwise set doFilp to TRUE to flip the horizontal coordinates about the vertical axis with horizontal coordinate flipH. Set rotateClockwise to the number of radians that the piece should be rotated about the point (rotateCenterH, rotateCenterV). Finally, set translateH and translateV to the amount that the piece should be moved in the horizontal and vertical directions, respectively.

Calculations should be accurate to .00001, meaning that when I apply your transformations using the sin() and cos() library functions, the resulting positions should agree with theShape to within that accuracy.

All of the polygons will be legal polygons - no edge formed by a pair of adjacent vertices will intersect any other edge in the same polygon except at a vertex. The last vertex in each polygon connects to the first vertex (i.e., a square will have four vertices, not a fifth that is the same as the first). All of theHoles in the shape to be reassembled will be strictly inside theShape, not intersecting the edges. No hole will intersect any other hole. You may allocate up to 10MB of memory for your own use, provided you deallocate any allocated memory prior to returning.

This will be a native PowerPC Challenge, using the latest CodeWarrior environment. Solutions may be coded in C, C++, or Pascal. The winner will be the solution that solves my set of test tangrams in the shortest amount of time. And thanks go out to Ernst Munter for suggesting this Challenge - he wins two contest points for the suggestion.

Two Months Ago Winner

Congratulations to... Well, that is what you would normally read in this part of the column. Alas, the realities of publication deadlines have forced us to make a change in when we publish the winning solution. Perhaps an example of the publishing schedule for this, the December issue which ships in mid-November, would help me explain. Most of the articles for this issue were due to the editorial staff on September 23. Now, if that seems like a lot of lead time to you, it does to me also. However, people who know a lot more about publishing than I do assure me that This Is The Way It Is (e.g., most monthlies have 4-6 month lead times). I believe them - what does a software guy know about publishing deadlines anyway?

Well, I know enough simple arithmetic to realize that it is difficult to include a solution submitted on October 1 in an article due on September 23. The publishers, being just as good at arithmetic, also figured this out, so they have always given me a little extra time to write the Challenge column. That presented the magazine with a Challenge of its own, in that the Challenge column is very unpredictable in length, making magazine layout difficult.

We always try to guess how long the column is going to be, but that means guessing how long the winning solutions are going to be. Sometimes the solutions do not cooperate by being predictable in length. The Challenge deadlines (mine, not yours) kept creeping toward the 1st-of-the-month solution submission deadline. Sometimes there was only one day to compile the solutions, score them, select the winner, and write the column. Sometimes that one day was a day when that Real Job got in the way. (That’s right kids, you can’t make a living writing the Programmer’s Challenge column.) Soooo, in undeniable recognition of publishing reality and our continued goal of improving the magazine, we have reluctantly decided that we need to publish the winning solution three months after we publish the puzzle, instead of two. That is why you are reading this explanation instead of a description of the winning solution to the DNA Match Challenge.

Seriously though, this change will provide me with a more reasonable amount of time to analyze submitted solutions and hopefully point out more interesting and useful features of competitive solutions. For Challenge contestants, we will be announcing the identity of the winner on the CHALLENGE email list at approximately the time that we would have published under the previous arrangement. We hope that this change, in addition to restoring some sanity to the publishing schedule, will allow us to produce a more informative and interesting column. See you next month.


 

Community Search:
MacTech Search:

Software Updates via MacUpdate

Skype 7.5.0.738 - Voice-over-internet ph...
Skype allows you to talk to friends, family and co-workers across the Internet without the inconvenience of long distance telephone charges. Using peer-to-peer data transmission technology, Skype... Read more
PushPal 3.0 - Mirror Android notificatio...
PushPal is a client for Pushbullet, which automatically shows you all of your phone's notifications right on your computer. This means you can see who's calling or read text messages even if your... Read more
Logic Pro X 10.1.1 - Music creation and...
Apple Logic Pro X is the most advanced version of Logic ever. Sophisticated new tools for professional songwriting, editing, and mixing are built around a modern interface that's designed to get... Read more
VLC Media Player 2.2.0 - Popular multime...
VLC Media Player is a highly portable multimedia player for various audio and video formats (MPEG-1, MPEG-2, MPEG-4, DivX, MP3, OGG, ...) as well as DVDs, VCDs, and various streaming protocols. It... Read more
Sound Studio 4.7.8 - Robust audio record...
Sound Studio lets you easily record and professionally edit audio on your Mac. Easily rip vinyls and digitize cassette tapes, or record lectures and voice memos. Prepare for live shows with live... Read more
LibreOffice 4.4.1.2 - Free, open-source...
LibreOffice is an office suite (word processor, spreadsheet, presentations, drawing tool) compatible with other major office suites. The Document Foundation is coordinating development and... Read more
VueScan 9.5.03 - Scanner software with a...
VueScan is a scanning program that works with most high-quality flatbed and film scanners to produce scans that have excellent color fidelity and color balance. VueScan is easy to use, and has... Read more
Freeway Pro 7.0.3 - Drag-and-drop Web de...
Freeway Pro lets you build websites with speed and precision... without writing a line of code! With its user-oriented drag-and-drop interface, Freeway Pro helps you piece together the website of... Read more
Cloud 3.3.0 - File sharing from your men...
Cloud is simple file sharing for the Mac. Drag a file from your Mac to the CloudApp icon in the menubar and we take care of the rest. A link to the file will automatically be copied to your clipboard... Read more
Cyberduck 4.6.5 - FTP and SFTP browser....
Cyberduck is a robust FTP/FTP-TLS/SFTP browser for the Mac whose lack of visual clutter and cleverly intuitive features make it easy to use. Support for external editors and system technologies such... Read more

Get The Whole Story – Lone Wolf Complete...
Get The Whole Story – Lone Wolf Complete is Now Available and On Sale Posted by Jessica Fisher on February 27th, 2015 [ permalink ] Universal App - Designed for iPhone and iPad | Read more »
Who Wore it Best? The Counting Dead vs....
Like it or not, the “clicker” genre, popularized by cute distractions like Candy Box and Cookie Clicker, seems like it’s here to stay. So Who Wore it Best? takes a look at two recent examples: The Counting Dead and AdVenture Capitalist. | Read more »
Card Crawl, the Mini Deck Building Game,...
Card Crawl, the Mini Deck Building Game, is Coming Soon Posted by Jessica Fisher on February 27th, 2015 [ permalink ] Tinytouchtales and Mexer have announced their new game, | Read more »
Witness an all new puzzle mechanic in Bl...
Well, BlastBall MAX is not one of those games and is bucking trends such as timers, elements of randomness, and tacked-on mechanics in favor of pure puzzle gameplay. When you first boot up the game you’ll see a grid made up of squares that are each... | Read more »
This Princess Has a Dragon and She isn’t...
This Princess Has a Dragon and She isn’t Afraid to Useit. | Read more »
Mecha Showdown Review
Mecha Showdown Review By Lee Hamlet on February 27th, 2015 Our Rating: :: IN A SPINUniversal App - Designed for iPhone and iPad Mecha Showdown replaces traditional buttons with a slot machine mechanic in this robot fighting game,... | Read more »
Reliance Games and Dreamworks Unveil Rea...
Reliance Games and Dreamworks Unveil Real Steel Champions Posted by Ellis Spice on February 27th, 2015 [ permalink ] Reliance Games and Dreamworks have announced that a third game in | Read more »
Sum Idea Review
Sum Idea Review By Jennifer Allen on February 27th, 2015 Our Rating: :: TAXING NUMBERSUniversal App - Designed for iPhone and iPad Sum Idea is a fairly charming but taxing puzzle game.   | Read more »
A New Badland Update Brings Daydream Lev...
A New Badland Update Brings Daydream Levels to Co-Op Posted by Ellis Spice on February 27th, 2015 [ permalink ] Universal App - Designed for iPhone and iPad | Read more »
Slashing Demons Review
Slashing Demons Review By Lee Hamlet on February 27th, 2015 Our Rating: :: IT'S A LONG WAY TO THE TOPUniversal App - Designed for iPhone and iPad Slashing Demons lacks the depth or scope to take it beyond the point of being just... | Read more »

Price Scanner via MacPrices.net

Apple Launches Free Web-Based Pages and Other...
Apple’s new Web-only access to iWork productivity apps is a free level of iCloud service available to anyone, including people who don’t own or use Apple devices. The service includes access to Apple... Read more
Survey Reveals Solid State Disk (SSD) Technol...
In a recent SSD technology use survey, Kroll Ontrack, a firm specializing in data recovery, found that while nearly 90 percent of respondents leverage the performance and reliability benefits of SSD... Read more
Save up to $600 with Apple refurbished Mac Pr...
The Apple Store is offering Apple Certified Refurbished Mac Pros for up to $600 off the cost of new models. An Apple one-year warranty is included with each Mac Pro, and shipping is free. The... Read more
Updated Mac Price Trackers
We’ve updated our Mac Price Trackers with the latest information on prices, bundles, and availability on systems from Apple’s authorized internet/catalog resellers: - 15″ MacBook Pros - 13″ MacBook... Read more
Apple CEO Tim Cook to Deliver 2015 George Was...
Apple CEO Tim Cook will deliver the George Washington University’s Commencement address to GWU grads on May 17, at which time he will also be awarded an honorary doctorate of public service from the... Read more
Apple restocks refurbished Mac minis for up t...
The Apple Store has restocked Apple Certified Refurbished 2014 Mac minis, with models available starting at $419. Apple’s one-year warranty is included with each mini, and shipping is free: - 1.4GHz... Read more
Save up to $50 on iPad Air 2s, NY tax only, f...
 B&H Photo has iPad Air 2s on sale for $50 off MSRP including free shipping plus NY sales tax only: - 16GB iPad Air 2 WiFi: $469.99 $30 off - 64GB iPad Air 2 WiFi: $549 $50 off - 128GB iPad Air 2... Read more
16GB iPad Air 2 on sale for $447, save $52
Walmart has the 16GB iPad Air 2 WiFi on sale for $446.99 on their online store for a limited time. Choose free shipping or free local store pickup (if available). Sale price for online orders only,... Read more
iMacs on sale for up to $205 off MSRP
B&H Photo has 21″ and 27″ iMacs on sale for up to $205 off MSRP including free shipping plus NY sales tax only: - 21″ 1.4GHz iMac: $1029 $70 off - 21″ 2.7GHz iMac: $1199 $100 off - 21″ 2.9GHz... Read more
Apple Takes 89 Percent Share of Global Smartp...
According to the latest research from Strategy Analytics, global smartphone operating profit reached US$21 billion in Q4 2014. The Android operating system captured a record-low 11 percent global... Read more

Jobs Board

Sr. Technical Services Consultant, *Apple*...
**Job Summary** Apple Professional Services (APS) has an opening for a senior technical position that contributes to Apple 's efforts for strategic and transactional Read more
Event Director, *Apple* Retail Marketing -...
…This senior level position is responsible for leading and imagining the Apple Retail Team's global engagement strategy and team. Delivering an overarching brand Read more
*Apple* Pay - Site Reliability Engineer - Ap...
**Job Summary** Imagine what you could do here. At Apple , great ideas have a way of becoming great products, services, and customer experiences very quickly. Bring Read more
*Apple* Solutions Consultant - Retail Sales...
**Job Summary** The ASC is an Apple employee who serves as an Apple brand ambassador and influencer in a Reseller's store. The ASC's role is to grow Apple Read more
*Apple* Solutions Consultant - Retail Sales...
**Job Summary** As an Apple Solutions Consultant (ASC) you are the link between our customers and our products. Your role is to drive the Apple business in a retail Read more
All contents are Copyright 1984-2011 by Xplain Corporation. All rights reserved. Theme designed by Icreon.