79 lines
2.1 KiB
Plaintext
79 lines
2.1 KiB
Plaintext
// 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
|
|
|