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-// Copyright John Maddock 2006.
-// Use, modification and distribution are subject to 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)
-
-#ifndef BOOST_STATS_DERIVED_HPP
-#define BOOST_STATS_DERIVED_HPP
-
-// This file implements various common properties of distributions
-// that can be implemented in terms of other properties:
-// variance OR standard deviation (see note below),
-// hazard, cumulative hazard (chf), coefficient_of_variation.
-//
-// Note that while both variance and standard_deviation are provided
-// here, each distribution MUST SPECIALIZE AT LEAST ONE OF THESE
-// otherwise these two versions will just call each other over and over
-// until stack space runs out ...
-
-// Of course there may be more efficient means of implementing these
-// that are specific to a particular distribution, but these generic
-// versions give these properties "for free" with most distributions.
-//
-// In order to make use of this header, it must be included AT THE END
-// of the distribution header, AFTER the distribution and its core
-// property accessors have been defined: this is so that compilers
-// that implement 2-phase lookup and early-type-checking of templates
-// can find the definitions refered to herein.
-//
-
-#include <boost/type_traits/is_same.hpp>
-#include <boost/static_assert.hpp>
-
-#ifdef BOOST_MSVC
-# pragma warning(push)
-# pragma warning(disable: 4723) // potential divide by 0
-// Suppressing spurious warning in coefficient_of_variation
-#endif
-
-namespace boost{ namespace math{
-
-template <class Distribution>
-typename Distribution::value_type variance(const Distribution& dist);
-
-template <class Distribution>
-inline typename Distribution::value_type standard_deviation(const Distribution& dist)
-{
- BOOST_MATH_STD_USING // ADL of sqrt.
- return sqrt(variance(dist));
-}
-
-template <class Distribution>
-inline typename Distribution::value_type variance(const Distribution& dist)
-{
- typename Distribution::value_type result = standard_deviation(dist);
- return result * result;
-}
-
-template <class Distribution, class RealType>
-inline typename Distribution::value_type hazard(const Distribution& dist, const RealType& x)
-{ // hazard function
- // http://www.itl.nist.gov/div898/handbook/eda/section3/eda362.htm#HAZ
- typedef typename Distribution::value_type value_type;
- typedef typename Distribution::policy_type policy_type;
- value_type p = cdf(complement(dist, x));
- value_type d = pdf(dist, x);
- if(d > p * tools::max_value<value_type>())
- return policies::raise_overflow_error<value_type>(
- "boost::math::hazard(const Distribution&, %1%)", 0, policy_type());
- if(d == 0)
- {
- // This protects against 0/0, but is it the right thing to do?
- return 0;
- }
- return d / p;
-}
-
-template <class Distribution, class RealType>
-inline typename Distribution::value_type chf(const Distribution& dist, const RealType& x)
-{ // cumulative hazard function.
- // http://www.itl.nist.gov/div898/handbook/eda/section3/eda362.htm#HAZ
- BOOST_MATH_STD_USING
- return -log(cdf(complement(dist, x)));
-}
-
-template <class Distribution>
-inline typename Distribution::value_type coefficient_of_variation(const Distribution& dist)
-{
- typedef typename Distribution::value_type value_type;
- typedef typename Distribution::policy_type policy_type;
-
- using std::abs;
-
- value_type m = mean(dist);
- value_type d = standard_deviation(dist);
- if((abs(m) < 1) && (d > abs(m) * tools::max_value<value_type>()))
- { // Checks too that m is not zero,
- return policies::raise_overflow_error<value_type>("boost::math::coefficient_of_variation(const Distribution&, %1%)", 0, policy_type());
- }
- return d / m; // so MSVC warning on zerodivide is spurious, and suppressed.
-}
-//
-// Next follow overloads of some of the standard accessors with mixed
-// argument types. We just use a typecast to forward on to the "real"
-// implementation with all arguments of the same type:
-//
-template <class Distribution, class RealType>
-inline typename Distribution::value_type pdf(const Distribution& dist, const RealType& x)
-{
- typedef typename Distribution::value_type value_type;
- return pdf(dist, static_cast<value_type>(x));
-}
-template <class Distribution, class RealType>
-inline typename Distribution::value_type cdf(const Distribution& dist, const RealType& x)
-{
- typedef typename Distribution::value_type value_type;
- return cdf(dist, static_cast<value_type>(x));
-}
-template <class Distribution, class RealType>
-inline typename Distribution::value_type quantile(const Distribution& dist, const RealType& x)
-{
- typedef typename Distribution::value_type value_type;
- return quantile(dist, static_cast<value_type>(x));
-}
-/*
-template <class Distribution, class RealType>
-inline typename Distribution::value_type chf(const Distribution& dist, const RealType& x)
-{
- typedef typename Distribution::value_type value_type;
- return chf(dist, static_cast<value_type>(x));
-}
-*/
-template <class Distribution, class RealType>
-inline typename Distribution::value_type cdf(const complemented2_type<Distribution, RealType>& c)
-{
- typedef typename Distribution::value_type value_type;
- return cdf(complement(c.dist, static_cast<value_type>(c.param)));
-}
-
-template <class Distribution, class RealType>
-inline typename Distribution::value_type quantile(const complemented2_type<Distribution, RealType>& c)
-{
- typedef typename Distribution::value_type value_type;
- return quantile(complement(c.dist, static_cast<value_type>(c.param)));
-}
-
-template <class Dist>
-inline typename Dist::value_type median(const Dist& d)
-{ // median - default definition for those distributions for which a
- // simple closed form is not known,
- // and for which a domain_error and/or NaN generating function is NOT defined.
- typedef typename Dist::value_type value_type;
- return quantile(d, static_cast<value_type>(0.5f));
-}
-
-} // namespace math
-} // namespace boost
-
-
-#ifdef BOOST_MSVC
-# pragma warning(pop)
-#endif
-
-#endif // BOOST_STATS_DERIVED_HPP