1<html> 2<head> 3<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> 4<title>Credits and Acknowledgements</title> 5<link rel="stylesheet" href="../math.css" type="text/css"> 6<meta name="generator" content="DocBook XSL Stylesheets V1.79.1"> 7<link rel="home" href="../index.html" title="Math Toolkit 2.12.0"> 8<link rel="up" href="../status.html" title="Chapter 24. Library Status"> 9<link rel="prev" href="issues.html" title="Known Issues, and TODO List"> 10<link rel="next" href="../indexes.html" title="Chapter 25. 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The Quaternions, Octonions, inverse 41 hyperbolic functions, and the sinus cardinal functions are his. 42 </p> 43<p> 44 Daryle Walker wrote the integer gcd and lcm functions. 45 </p> 46<p> 47 John Maddock started the special functions, the beta, gamma, erf, polynomial, 48 and factorial functions are his, as is the "Toolkit" section, and 49 many of the statistical distributions. 50 </p> 51<p> 52 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 53 Proposal to add Mathematical Functions for Statistics to the C++ Standard Library</a> 54 to add the key math functions, especially those essential for statistics. After 55 JM accepted and solved the difficult problems, not only numerically, but in 56 full C++ template style, PAB implemented a few of the statistical distributions. 57 PAB also tirelessly proof-read everything that JM threw at him (so that all 58 remaining editorial mistakes are his fault). 59 </p> 60<p> 61 Xiaogang Zhang worked on the Bessel functions and elliptic integrals for his 62 Google Summer of Code project 2006. 63 </p> 64<p> 65 Bruno Lalande submitted the "compile time power of a runtime base" 66 code. 67 </p> 68<p> 69 Johan Råde wrote the optimised floating-point classification and manipulation 70 code, and nonfinite facets to permit C99 output of infinities and NaNs. (nonfinite 71 facets were not added until Boost 1.47 but had been in use with Boost.Spirit). 72 This library was based on a suggestion from Robert Ramey, author of Boost.Serialization. 73 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 74 & Output of NaN and infinity for the C++ Standard Library</a> and suggested 75 following the C99 format. 76 </p> 77<p> 78 Antony Polukhin improved lexical cast avoiding stringstream so that it was 79 no longer necessary to use a globale C99 facet to handle nonfinites. 80 </p> 81<p> 82 Håkan Ardö, Boris Gubenko, John Maddock, Markus Schöpflin and Olivier Verdier 83 tested the floating-point library and Martin Bonner, Peter Dimov and John Maddock 84 provided valuable advice. 85 </p> 86<p> 87 Gautam Sewani coded the logistic distribution as part of a Google Summer of 88 Code project 2008. 89 </p> 90<p> 91 M. A. (Thijs) van den Berg coded the Laplace distribution. (Thijs has also 92 threatened to implement some multivariate distributions). 93 </p> 94<p> 95 Thomas Mang requested the inverse gamma in chi squared distributions for Bayesian 96 applications and helped in their implementation, and provided a nice example 97 of their use. 98 </p> 99<p> 100 Professor Nico Temme for advice on the inverse incomplete beta function. 101 </p> 102<p> 103 <a href="http://www.shoup.net" target="_top">Victor Shoup for NTL</a>, without which 104 it would have much more difficult to produce high accuracy constants, and especially 105 the tables of accurate values for testing. 106 </p> 107<p> 108 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> 109 program used to generate the html and pdf versions of this document, adding 110 several new features en route. 111 </p> 112<p> 113 Plots of the functions and distributions were prepared in <a href="http://www.w3.org/" target="_top">W3C</a> 114 standard <a href="http://www.svg.org/" target="_top">Scalable Vector Graphic (SVG)</a> 115 format using a program created by Jacob Voytko during a <a href="http://code.google.com/soc/2007/" target="_top">Google 116 Summer of Code (2007)</a>. From 2012, the latest versions of all Internet 117 Browsers have support for rendering SVG (with varying quality). Older versions, 118 especially (Microsoft Internet Explorer (before IE 9) lack native SVG support 119 but can be made to work with <a href="http://www.adobe.com/svg/viewer/install/" target="_top">Adobe's 120 free SVG viewer</a> plugin). The SVG files can be converted to JPEG or 121 PNG using <a href="http://www.inkscape.org/" target="_top">Inkscape</a>. 122 </p> 123<p> 124 We are also indebted to Matthias Schabel for managing the formal Boost-review 125 of this library, and to all the reviewers - including Guillaume Melquiond, 126 Arnaldur Gylfason, John Phillips, Stephan Tolksdorf and Jeff Garland - for 127 their many helpful comments. 128 </p> 129<p> 130 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>, 131 and of course, to Eric Weisstein for nurturing <a href="http://mathworld.wolfram.com" target="_top">Wolfram 132 MathWorld</a>, an invaluable resource. 133 </p> 134<p> 135 The Skew-normal distribution and Owen's t function were written by Benjamin 136 Sobotta. 137 </p> 138<p> 139 We thank Thomas Mang for persuading us to allow t distributions to have infinite 140 degrees of freedom and contributing to some long discussions about how to improve 141 accuracy for large non-centrality and/or large degrees of freedom. 142 </p> 143<p> 144 Christopher Kormanyos wrote the e_float multiprecision library <a href="http://portal.acm.org/citation.cfm?id=1916469" target="_top">TOMS 145 Algorithm 910: A Portable C++ Multiple-Precision System for Special-Function 146 Calculations</a> which formed the basis for the Boost.Multiprecision library 147 which now can be used to allow most functions and distributions to be computed 148 up to a precision of the users' choice, no longer restricted to built-in floating-point 149 types like double. (And thanks to Topher Cooper for bring Christopher's e_float 150 to our attention). 151 </p> 152<p> 153 Christopher Kormanyos wrote some examples for using <a href="../../../../../libs/multiprecision/doc/html/index.html" target="_top">Boost.Multiprecision</a>, 154 and added methods for finding zeros of Bessel Functions. 155 </p> 156<p> 157 Marco Guazzone provided the hyper-geometric distribution. 158 </p> 159<p> 160 Rocco Romeo has found numerous small bugs and generally stress tested the special 161 functions code to near destruction! 162 </p> 163<p> 164 Jeremy William Murphy added polynomial arithmetic tools. 165 </p> 166<p> 167 Thomas Luu provided improvements to the quantile of the non-central chi squared 168 distribution quantile. and his thesis * <a href="http://discovery.ucl.ac.uk/1482128/" target="_top">Fast 169 and accurate parallel computation of quantile functions for random number generation, 170 2016</a>. 171 </p> 172<p> 173 and his paper 174 </p> 175<p> 176 Luu, Thomas; (2015), Efficient and Accurate Parallel Inversion of the Gamma 177 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>. 178 </p> 179<p> 180 These also promise to help improve algorithms for computation of quantile of 181 several distributions, especially for parallel computation using GPUs. 182 </p> 183<p> 184 Nicolas Thompson added much code to handle quadrature and interpolation and 185 more statistical tools. 186 </p> 187<p> 188 Matthew Pulver provided the automatic differentiation section for inclusion 189 in Boost.Math. 190 </p> 191</div> 192<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr> 193<td align="left"></td> 194<td align="right"><div class="copyright-footer">Copyright © 2006-2019 Nikhar 195 Agrawal, Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, 196 Hubert Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Matthew Pulver, Johan 197 Råde, Gautam Sewani, Benjamin Sobotta, Nicholas Thompson, Thijs van den Berg, 198 Daryle Walker and Xiaogang Zhang<p> 199 Distributed under the Boost Software License, Version 1.0. (See accompanying 200 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>) 201 </p> 202</div></td> 203</tr></table> 204<hr> 205<div class="spirit-nav"> 206<a accesskey="p" href="issues.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../status.html"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../indexes.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> 207</div> 208</body> 209</html> 210
