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- <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>
- <div class="note"><table border="0" summary="Note">
- <tr>
- <td rowspan="2" align="center" valign="top" width="25"><img alt="[Note]" src="../../../../../doc/src/images/note.png"></td>
- <th align="left">Note</th>
- </tr>
- <tr><td align="left" valign="top"><p>
- This section should be read with the 'What's New' section that gives much
- detail on changes for each release.
- </p></td></tr>
- </table></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="../../../../../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>
- <p>
- Jeremy William Murphy added polynomial arithmetic tools.
- </p>
- <p>
- Thomas Luu provided improvements to the quantile of the non-central chi squared
- distribution quantile. and his thesis * <a href="http://discovery.ucl.ac.uk/1482128/" target="_top">Fast
- and accurate parallel computation of quantile functions for random number generation,
- 2016</a>.
- </p>
- <p>
- and his paper
- </p>
- <p>
- Luu, Thomas; (2015), Efficient and Accurate Parallel Inversion of the Gamma
- Distribution, SIAM Journal on Scientific Computing , 37 (1) C122 - C141, <a href="https://doi.org/10.1137/14095875X" target="_top">https://doi.org/10.1137/14095875X</a>.
- </p>
- <p>
- These also promise to help improve algorithms for computation of quantile of
- several distributions, especially for parallel computation using GPUs.
- </p>
- <p>
- Nicolas Thompson added much code to handle quadrature and interpolation and
- more statistical tools.
- </p>
- <p>
- Matthew Pulver provided the automatic differentiation section for inclusion
- in Boost.Math.
- </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 © 2006-2019 Nikhar
- Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos,
- Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Matthew Pulver, Johan
- Råde, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, 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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