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POBignum, Linear Algebra and Digital Signal Processing on iPhone OS (iOS 4)
 

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    <p>I think I've found some gems in the iPhone OS (iOS 4).<br /> <br /> I found that there're 128-bit, 256-bit, 512-bit and 1024-bit integer data types, provided by the <a href="https://developer.apple.com/iphone/library/navigation/index.html#section=Frameworks&amp;topic=Accelerate" rel="nofollow noreferrer" title="Accelerate Framework Reference (iOS Reference Library)">Accelerate Framework</a>. There're also Apple's implementation of Basic Linear Algebra Subprograms (BLAS), Apple's implementation of LAPACK (Linear Algebra PACKage), and Digital Signal Processing (DSP) routines.<br /> <br /> I'm so excited because BLAS and LAPACK are the best (and the most famous) libraries as far as I know. (In case if you've never heard their names, just Google them and you'll understand.) They let you solve simultaneous linear equations (i.e. <b>A</b>x = <b>b</b> in vector / matrix notation), do fast matrix multiplications, and more.<br /> <br /> I'm quite sure that the libraries are available on both PowerPC- and Intel-based Mac's. However, when I look up the "What's new in iOS4" documentation in Xcode, it says that the data types are "not supported on any architecture". When I compare the <a href="http://developer.apple.com/mac/library/documentation/Performance/Conceptual/vecLib/Reference/reference.html" rel="nofollow noreferrer" title="vecLib Reference (Mac OS X Reference Library)">vecLib Reference for Mac OS X</a> and <a href="http://developer.apple.com/iphone/library/documentation/Performance/Conceptual/vecLib/Reference/reference.html" rel="nofollow noreferrer" title="vecLib Reference (iOS Reference Library)">vecLlib Reference for iOS</a>, I also found that functions are missing in the iOS version.<br /> <br /> <b>My question is:</b><br /> Has anyone compiled any program using these libraries (bignum is my primary area of interest) and run them successfully on a real iPhone device? (Answerers who can demonstrate their actual experience on the librarie(s) are more appreciated.)<br /> <br/> <b>Here are the links to the Reference Library:</b><br /> <a href="https://developer.apple.com/iphone/library/navigation/index.html#section=Frameworks&amp;topic=Accelerate" rel="nofollow noreferrer" title="Accelerate Framework Reference (iOS Reference Library)">Accelerate Framework (iOS Reference Library)</a><br /> <a href="http://developer.apple.com/mac/library/documentation/Performance/Conceptual/vecLib/Reference/reference.html" rel="nofollow noreferrer" title="vecLib Reference (Mac OS X Reference Library)">vecLib Reference (Mac OS X Reference Library)</a><br /> <a href="http://developer.apple.com/iphone/library/documentation/Performance/Conceptual/vecLib/Reference/reference.html" rel="nofollow noreferrer" title="vecLib Reference (iOS Reference Library)">vecLib Reference (iOS Reference Library)</a><br /> <br /> <b>Here are official FAQs of BLAS and LAPACK:</b><br /> <a href="http://www.netlib.org/blas/faq.html" rel="nofollow noreferrer" title="BLAS FAQ">BLAS FAQ</a><br /> <a href="http://netlib.org/lapack/faq.html" rel="nofollow noreferrer" title="LAPACK FAQ">LAPACK FAQ</a><br /> <br /></p>
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    1. COThis isn't answer (hence the comment) but I wrote an Objective-C wrapper around OpenSSL's bignum stuff. I haven't tried compiling it for iPhone, but you're welcome to fork it and contribute: http://github.com/davedelong/CHMath
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    2. COHi, Dave. Thank you for your vote up! `//` I'm not compiling the BLAS and LAPACK libraries on the iPhone, but it seems that **APPLE HAS IMPLEMENTED THE SAME API**, and that's why I'm so excited. Please refer to the "Reference Library" links I posted above. `//` I use OpenSSL a lot and guess that they should have pretty good big integer libraries too! But since I'm not familiar with the lib / API, I'm not sure if they're easy enough to use. I'm afraid of tons of babysitting work before using a library. `//` I've visited your GitHub project and will go into more details when I have time~
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    3. COThis question asks something similar (although in not as detailed a form): http://stackoverflow.com/questions/3398753/using-the-apple-fft-and-accelerate-framework
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