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			Plaintext
		
	
	
	
	
	
|  | [section:credits Credits and Acknowledgements] | ||
|  | 
 | ||
|  | Hubert Holin started the Boost.Math library.  The | ||
|  | Quaternions, Octonions, inverse | ||
|  | hyperbolic functions, and the sinus cardinal functions are his. | ||
|  | 
 | ||
|  | Daryle Walker wrote the integer gcd and lcm functions. | ||
|  | 
 | ||
|  | 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. | ||
|  | 
 | ||
|  | Paul A. Bristow threw down the challenge in | ||
|  | [@http://www2.open-std.org/JTC1/SC22/WG21/docs/papers/2004/n1668.pdf | ||
|  | A Proposal to add Mathematical Functions for Statistics to the C++ | ||
|  | Standard Library] 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). | ||
|  | 
 | ||
|  | Xiaogang Zhang worked on the Bessel functions and elliptic integrals for his | ||
|  | Google Summer of Code project 2006. | ||
|  | 
 | ||
|  | Bruno Lalande submitted the "compile time power of a runtime base" code. | ||
|  | 
 | ||
|  | Johan R'''å'''de 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 | ||
|  | [@http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2006/n2022.pdf | ||
|  | Input & Output of NaN and infinity for the C++ Standard Library] | ||
|  | and suggested following the C99 format. | ||
|  | 
 | ||
|  | Antony Polukhin improved lexical cast avoiding stringstream so that | ||
|  | it was no longer necessary to use a globale C99 facet to handle nonfinites. | ||
|  | 
 | ||
|  | H'''å'''kan Ard'''ö''', | ||
|  | Boris Gubenko, John Maddock, | ||
|  | Markus Sch'''ö'''pflin | ||
|  | and Olivier Verdier tested the floating-point library and | ||
|  | Martin Bonner, Peter Dimov and John Maddock provided valuable advice. | ||
|  | 
 | ||
|  | Gautam Sewani coded the logistic distribution as part of a Google Summer of Code project 2008. | ||
|  | 
 | ||
|  | M. A. (Thijs) van den Berg coded the Laplace distribution. | ||
|  | (Thijs has also threatened to implement some multivariate distributions). | ||
|  | 
 | ||
|  | 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. | ||
|  | 
 | ||
|  | Professor Nico Temme for advice on the inverse incomplete beta function. | ||
|  | 
 | ||
|  | [@http://www.shoup.net Victor Shoup for NTL], | ||
|  | without which it would have much more difficult to | ||
|  | produce high accuracy constants, and especially | ||
|  | the tables of accurate values for testing. | ||
|  | 
 | ||
|  | We are grateful to Joel Guzman for helping us stress-test his | ||
|  | [@http://www.boost.org/tools/quickbook/index.htm Boost.Quickbook] | ||
|  | program used to generate the html and pdf versions | ||
|  | of this document, adding several new features en route. | ||
|  | 
 | ||
|  | Plots of the functions and distributions were prepared in | ||
|  | [@http://www.w3.org/ W3C] standard | ||
|  | [@http://www.svg.org/ Scalable Vector Graphic (SVG)] format | ||
|  | using a program created by Jacob Voytko during a | ||
|  | [@http://code.google.com/soc/2007/ Google Summer of Code (2007)]. | ||
|  | 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 | ||
|  | [@http://www.adobe.com/svg/viewer/install/ Adobe's free SVG viewer] plugin). | ||
|  | The SVG files can be converted to JPEG or PNG using | ||
|  | [@http://www.inkscape.org/ Inkscape]. | ||
|  | 
 | ||
|  | 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. | ||
|  | 
 | ||
|  | Thanks to Mark Coleman and Georgi Boshnakov for spot test values | ||
|  | from __Mathematica, and of course, | ||
|  | to Eric Weisstein for nurturing __Mathworld, an invaluable resource. | ||
|  | 
 | ||
|  | The Skew-normal distribution and Owen's t function were written by Benjamin Sobotta. | ||
|  | 
 | ||
|  | 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. | ||
|  | 
 | ||
|  | Christopher Kormanyos wrote the e_float multiprecision library __TOMS910 | ||
|  | 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). | ||
|  | 
 | ||
|  | Christopher Kormanyos wrote some examples for using __multiprecision, | ||
|  | and added methods for finding zeros of Bessel Functions. | ||
|  | 
 | ||
|  | Marco Guazzone provided the hyper-geometric distribution. | ||
|  | 
 | ||
|  | Rocco Romeo has found numerous small bugs and generally stress tested the | ||
|  | special functions code to near destruction! | ||
|  | 
 | ||
|  | Jeremy William Murphy added polynomial arithmetic tools. | ||
|  | 
 | ||
|  | Thomas Luu provided improvements to the quantile of the non-central chi squared distribution quantile. | ||
|  | and his thesis | ||
|  | * [@http://discovery.ucl.ac.uk/1482128/ Fast and accurate parallel computation of quantile functions for random number generation, 2016]. | ||
|  | 
 | ||
|  | and his paper | ||
|  | 
 | ||
|  | Luu, Thomas; (2015), Efficient and Accurate Parallel Inversion of the Gamma Distribution, | ||
|  | SIAM Journal on Scientific Computing , 37 (1) C122 - C141, | ||
|  | [@http://dx.doi.org/10.1137/14095875X]. | ||
|  | 
 | ||
|  | These also promise to help improve algorithms for computation of  quantile of several disitributions, | ||
|  | especially for parallel computation using GPUs. | ||
|  | 
 | ||
|  | [endsect] [/section:credits Credits and Acknowledgements] | ||
|  | 
 | ||
|  | [/ | ||
|  |   Copyright 2006, 2007, 2008, 2009, 2010, 2012, 2013, 2015, 2016 John Maddock and Paul A. Bristow. | ||
|  |   Distributed under the Boost Software License, Version 1.0. | ||
|  |   (See accompanying file LICENSE_1_0.txt or copy at | ||
|  |   http://www.boost.org/LICENSE_1_0.txt). | ||
|  | ] | ||
|  | 
 |