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// Copyright (c) 2007 John Maddock
// 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_MATH_SIN_PI_HPP
#define BOOST_MATH_SIN_PI_HPP
#ifdef _MSC_VER
#pragma once
#endif
#include <boost/config/no_tr1/cmath.hpp>
#include <boost/math/tools/config.hpp>
#include <boost/math/special_functions/math_fwd.hpp>
#include <boost/math/special_functions/trunc.hpp>
#include <boost/math/tools/promotion.hpp>
#include <boost/math/constants/constants.hpp>
namespace boost{ namespace math{ namespace detail{
template <class T, class Policy>
T sin_pi_imp(T x, const Policy& pol)
{
BOOST_MATH_STD_USING // ADL of std names
if(x < 0)
return -sin_pi(-x);
// sin of pi*x:
bool invert;
if(x < 0.5)
return sin(constants::pi<T>() * x);
if(x < 1)
{
invert = true;
x = -x;
}
else
invert = false;
T rem = floor(x);
if(itrunc(rem, pol) & 1)
invert = !invert;
rem = x - rem;
if(rem > 0.5f)
rem = 1 - rem;
if(rem == 0.5f)
return static_cast<T>(invert ? -1 : 1);
rem = sin(constants::pi<T>() * rem);
return invert ? T(-rem) : rem;
}
} // namespace detail
template <class T, class Policy>
inline typename tools::promote_args<T>::type sin_pi(T x, const Policy&)
{
typedef typename tools::promote_args<T>::type result_type;
typedef typename policies::evaluation<result_type, Policy>::type value_type;
typedef typename policies::normalise<
Policy,
policies::promote_float<false>,
policies::promote_double<false>,
policies::discrete_quantile<>,
policies::assert_undefined<> >::type forwarding_policy;
return policies::checked_narrowing_cast<result_type, forwarding_policy>(boost::math::detail::sin_pi_imp<value_type>(x, forwarding_policy()), "cos_pi");
}
template <class T>
inline typename tools::promote_args<T>::type sin_pi(T x)
{
return boost::math::sin_pi(x, policies::policy<>());
}
} // namespace math
} // namespace boost
#endif
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