On Fri, Feb 6, 2015 at 11:04 AM, Andrew Shewmaker <[email protected]> wrote:
> Beowulfers, > > I was a beta reader for "The End of Error: Unum Computing" by John > Gustafson, and I wanted to highly recommend it to everyone. > > http://www.crcpress.com/product/isbn/9781482239867 > > If you want to know more about the pitfalls of floating point arithmetic, > then you'll find it is a thorough and readable treatment. He also proposes > a new universal number format, unum, that extends the floating point format > with precision information and an "exact" bit. > > He's created a Mathematica reference implementation, and has used it to > show how he can get better answers with less programmer work and moving > fewer bits. Among its benefits, unums also provide commutativity, which > means serial and parallel computations will give the same answer. Another > innovation that's particularly noteworthy is support for arithmetic using > opened and closed intervals. Unlike traditional interval arithmetic, his > bounds don't explode. > > There's an old presentation at > http://sites.ieee.org/scv-cs/files/2013/03/Right-SizingPrecision1.pdf ... > I have a newer one, but didn't include it because I didn't want to spam > everyone with a 10MB attachment. > For those interested, that newer presentation is available at https://drive.google.com/file/d/0B47pTgnNDMe_OWp0Q25oNkZmSE0/view?usp=sharing -- Andrew Shewmaker
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