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<title>Credits and Acknowledgements</title>
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<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.credits"></a><a class="link" href="credits.html" title="Credits and Acknowledgements">Credits and Acknowledgements</a>
</h2></div></div></div>
<p>
Hubert Holin started the Boost.Math library. The Quaternions, Octonions, inverse
hyperbolic functions, and the sinus cardinal functions are his.
</p>
<p>
Daryle Walker wrote the integer gcd and lcm functions.
</p>
<p>
John Maddock started the special functions, the beta, gamma, erf, polynomial,
and factorial functions are his, as is the "Toolkit" section, and
many of the statistical distributions.
</p>
<p>
Paul A. Bristow threw down the challenge in <a href="http://www2.open-std.org/JTC1/SC22/WG21/docs/papers/2004/n1668.pdf" target="_top">A
Proposal to add Mathematical Functions for Statistics to the C++ Standard Library</a>
to add the key math functions, especially those essential for statistics. After
JM accepted and solved the difficult problems, not only numerically, but in
full C++ template style, PAB implemented a few of the statistical distributions.
PAB also tirelessly proof-read everything that JM threw at him (so that all
remaining editorial mistakes are his fault).
</p>
<p>
Xiaogang Zhang worked on the Bessel functions and elliptic integrals for his
Google Summer of Code project 2006.
</p>
<p>
Bruno Lalande submitted the "compile time power of a runtime base"
code.
</p>
<p>
Johan Råde wrote the optimised floating-point classification and manipulation
code, and nonfinite facets to permit C99 output of infinities and NaNs. (nonfinite
facets were not added until Boost 1.47 but had been in use with Boost.Spirit).
This library was based on a suggestion from Robert Ramey, author of Boost.Serialization.
Paul A. Bristow expressed the need for better handling of <a href="http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2006/n2022.pdf" target="_top">Input
& Output of NaN and infinity for the C++ Standard Library</a> and suggested
following the C99 format.
</p>
<p>
Antony Polukhin improved lexical cast avoiding stringstream so that it was
no longer necessary to use a globale C99 facet to handle nonfinites.
</p>
<p>
Håkan Ardö, Boris Gubenko, John Maddock, Markus Schöpflin and Olivier Verdier
tested the floating-point library and Martin Bonner, Peter Dimov and John Maddock
provided valuable advice.
</p>
<p>
Gautam Sewani coded the logistic distribution as part of a Google Summer of
Code project 2008.
</p>
<p>
M. A. (Thijs) van den Berg coded the Laplace distribution. (Thijs has also
threatened to implement some multivariate distributions).
</p>
<p>
Thomas Mang requested the inverse gamma in chi squared distributions for Bayesian
applications and helped in their implementation, and provided a nice example
of their use.
</p>
<p>
Professor Nico Temme for advice on the inverse incomplete beta function.
</p>
<p>
<a href="http://www.shoup.net" target="_top">Victor Shoup for NTL</a>, without which
it would have much more difficult to produce high accuracy constants, and especially
the tables of accurate values for testing.
</p>
<p>
We are grateful to Joel Guzman for helping us stress-test his <a href="http://www.boost.org/tools/quickbook/index.htm" target="_top">Boost.Quickbook</a>
program used to generate the html and pdf versions of this document, adding
several new features en route.
</p>
<p>
Plots of the functions and distributions were prepared in <a href="http://www.w3.org/" target="_top">W3C</a>
standard <a href="http://www.svg.org/" target="_top">Scalable Vector Graphic (SVG)</a>
format using a program created by Jacob Voytko during a <a href="http://code.google.com/soc/2007/" target="_top">Google
Summer of Code (2007)</a>. From 2012, the latest versions of all Internet
Browsers have support for rendering SVG (with varying quality). Older versions,
especially (Microsoft Internet Explorer (before IE 9) lack native SVG support
but can be made to work with <a href="http://www.adobe.com/svg/viewer/install/" target="_top">Adobe's
free SVG viewer</a> plugin). The SVG files can be converted to JPEG or
PNG using <a href="http://www.inkscape.org/" target="_top">Inkscape</a>.
</p>
<p>
We are also indebted to Matthias Schabel for managing the formal Boost-review
of this library, and to all the reviewers - including Guillaume Melquiond,
Arnaldur Gylfason, John Phillips, Stephan Tolksdorf and Jeff Garland - for
their many helpful comments.
</p>
<p>
Thanks to Mark Coleman and Georgi Boshnakov for spot test values from <a href="http://www.wolfram.com/products/mathematica/index.html" target="_top">Wolfram Mathematica</a>,
and of course, to Eric Weisstein for nurturing <a href="http://mathworld.wolfram.com" target="_top">Wolfram
MathWorld</a>, an invaluable resource.
</p>
<p>
The Skew-normal distribution and Owen's t function were written by Benjamin
Sobotta.
</p>
<p>
We thank Thomas Mang for persuading us to allow t distributions to have infinite
degrees of freedom and contributing to some long discussions about how to improve
accuracy for large non-centrality and/or large degrees of freedom.
</p>
<p>
Christopher Kormanyos wrote the e_float multiprecision library <a href="http://portal.acm.org/citation.cfm?id=1916469" target="_top">TOMS
Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function
Calculations</a> which formed the basis for the Boost.Multiprecision library
which now can be used to allow most functions and distributions to be computed
up to a precision of the users' choice, no longer restricted to built-in floating-point
types like double. (And thanks to Topher Cooper for bring Christopher's e_float
to our attention).
</p>
<p>
Christopher Kormanyos wrote some examples for using <a href="http://www.boost.org/doc/libs/1_53_0_beta1/libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>,
and added methods for finding zeros of Bessel Functions.
</p>
<p>
Marco Guazzone provided the hyper-geometric distribution.
</p>
<p>
Rocco Romeo has found numerous small bugs and generally stress tested the special
functions code to near destruction!
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal,
Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
Holin, Bruno Lalande, John Maddock, Johan Råde, Gautam Sewani, Benjamin Sobotta,
Thijs van den Berg, Daryle Walker and Xiaogang Zhang<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
</p>
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