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			135 lines
		
	
	
		
			6.0 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
[section:credits Credits and Acknowledgements]
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Hubert Holin started the Boost.Math library.  The
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Quaternions, Octonions, inverse
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hyperbolic functions, and the sinus cardinal functions are his.
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Daryle Walker wrote the integer gcd and lcm functions.
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John Maddock started the special functions, the beta, gamma, erf, polynomial,
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and factorial functions are his, as is the "Toolkit" section, and many
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of the statistical distributions.
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Paul A. Bristow threw down the challenge in
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[@http://www2.open-std.org/JTC1/SC22/WG21/docs/papers/2004/n1668.pdf
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A Proposal to add Mathematical Functions for Statistics to the C++
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Standard Library] to add the key math functions, especially those essential for
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statistics. After JM accepted and solved the difficult problems,
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not only numerically, but in full C++ template style, PAB
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implemented a few of the statistical distributions. PAB also tirelessly
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proof-read everything that JM threw at him (so that all
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remaining editorial mistakes are his fault).
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Xiaogang Zhang worked on the Bessel functions and elliptic integrals for his
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Google Summer of Code project 2006.
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Bruno Lalande submitted the "compile time power of a runtime base" code.
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Johan R'''å'''de wrote the optimised floating-point classification
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and manipulation code, and nonfinite facets to permit C99 output of infinities and NaNs.
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(nonfinite facets were not added until Boost 1.47 but had been in use with Boost.Spirit).
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This library was based on a suggestion from Robert Ramey, author of Boost.Serialization.
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Paul A. Bristow expressed the need for better handling of
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[@http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2006/n2022.pdf
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Input & Output of NaN and infinity for the C++ Standard Library]
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and suggested following the C99 format.
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Antony Polukhin improved lexical cast avoiding stringstream so that
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it was no longer necessary to use a globale C99 facet to handle nonfinites.
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H'''å'''kan Ard'''ö''',
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Boris Gubenko, John Maddock,
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Markus Sch'''ö'''pflin
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and Olivier Verdier tested the floating-point library and
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Martin Bonner, Peter Dimov and John Maddock provided valuable advice.
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Gautam Sewani coded the logistic distribution as part of a Google Summer of Code project 2008.
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M. A. (Thijs) van den Berg coded the Laplace distribution.
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(Thijs has also threatened to implement some multivariate distributions).
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Thomas Mang requested the inverse gamma in chi squared distributions
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for Bayesian applications and helped in their implementation,
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and provided a nice example of their use.
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Professor Nico Temme for advice on the inverse incomplete beta function.
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[@http://www.shoup.net Victor Shoup for NTL],
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without which it would have much more difficult to
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produce high accuracy constants, and especially
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the tables of accurate values for testing.
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We are grateful to Joel Guzman for helping us stress-test his
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[@http://www.boost.org/tools/quickbook/index.htm Boost.Quickbook]
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program used to generate the html and pdf versions
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of this document, adding several new features en route.
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Plots of the functions and distributions were prepared in
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[@http://www.w3.org/ W3C] standard
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[@http://www.svg.org/ Scalable Vector Graphic (SVG)] format
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using a program created by Jacob Voytko during a
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[@http://code.google.com/soc/2007/ Google Summer of Code (2007)].
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From 2012, the latest versions of all Internet Browsers have support
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for rendering SVG (with varying quality).  Older versions, especially
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(Microsoft Internet Explorer (before IE 9) lack native SVG support
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but can be made to work with
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[@http://www.adobe.com/svg/viewer/install/ Adobe's free SVG viewer] plugin).
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The SVG files can be converted to JPEG or PNG using
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[@http://www.inkscape.org/ Inkscape].
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We are also indebted to Matthias Schabel for managing the formal Boost-review
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of this library, and to all the reviewers - including Guillaume Melquiond,
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Arnaldur Gylfason, John Phillips, Stephan Tolksdorf and Jeff Garland
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- for their many helpful comments.
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Thanks to Mark Coleman and Georgi Boshnakov for spot test values
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from __Mathematica, and of course,
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to Eric Weisstein for nurturing __Mathworld, an invaluable resource.
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The Skew-normal distribution and Owen's t function were written by Benjamin Sobotta.
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We thank Thomas Mang for persuading us to allow t distributions
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to have infinite degrees of freedom
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and contributing to some long discussions about how to improve accuracy
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for large non-centrality and/or large degrees of freedom.
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Christopher Kormanyos wrote the e_float multiprecision library __TOMS910
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which formed the basis for the Boost.Multiprecision library
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which now can be used to allow most functions and distributions
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to be computed up to a precision of the users' choice,
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no longer restricted to built-in floating-point types like double.
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(And thanks to Topher Cooper for bring Christopher's e_float to our attention).
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Christopher Kormanyos wrote some examples for using __multiprecision,
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and added methods for finding zeros of Bessel Functions.
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Marco Guazzone provided the hyper-geometric distribution.
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Rocco Romeo has found numerous small bugs and generally stress tested the
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special functions code to near destruction!
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Jeremy William Murphy added polynomial arithmetic tools.
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Thomas Luu provided improvements to the quantile of the non-central chi squared distribution quantile.
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and his thesis
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* [@http://discovery.ucl.ac.uk/1482128/ Fast and accurate parallel computation of quantile functions for random number generation, 2016].
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and his paper
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Luu, Thomas; (2015), Efficient and Accurate Parallel Inversion of the Gamma Distribution,
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SIAM Journal on Scientific Computing , 37 (1) C122 - C141,
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[@http://dx.doi.org/10.1137/14095875X].
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These also promise to help improve algorithms for computation of  quantile of several disitributions,
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especially for parallel computation using GPUs.
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[endsect] [/section:credits Credits and Acknowledgements]
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[/
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  Copyright 2006, 2007, 2008, 2009, 2010, 2012, 2013, 2015, 2016 John Maddock and Paul A. Bristow.
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  Distributed under the Boost Software License, Version 1.0.
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  (See accompanying file LICENSE_1_0.txt or copy at
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  http://www.boost.org/LICENSE_1_0.txt).
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]
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