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70 lines
1.6 KiB
70 lines
1.6 KiB
// Copyright (c) 2007 John Maddock |
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// Use, modification and distribution are subject to the |
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// Boost Software License, Version 1.0. (See accompanying file |
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) |
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#ifndef BOOST_MATH_SIN_PI_HPP |
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#define BOOST_MATH_SIN_PI_HPP |
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#ifdef _MSC_VER |
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#pragma once |
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#endif |
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#include <boost/config/no_tr1/cmath.hpp> |
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#include <boost/math/tools/config.hpp> |
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#include <boost/math/special_functions/trunc.hpp> |
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#include <boost/math/tools/promotion.hpp> |
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#include <boost/math/constants/constants.hpp> |
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namespace boost{ namespace math{ namespace detail{ |
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template <class T, class Policy> |
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T sin_pi_imp(T x, const Policy& pol) |
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{ |
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BOOST_MATH_STD_USING // ADL of std names |
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if(x < 0) |
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return -sin_pi(-x); |
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// sin of pi*x: |
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bool invert; |
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if(x < 0.5) |
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return sin(constants::pi<T>() * x); |
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if(x < 1) |
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{ |
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invert = true; |
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x = -x; |
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} |
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else |
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invert = false; |
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T rem = floor(x); |
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if(itrunc(rem, pol) & 1) |
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invert = !invert; |
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rem = x - rem; |
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if(rem > 0.5f) |
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rem = 1 - rem; |
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if(rem == 0.5f) |
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return static_cast<T>(invert ? -1 : 1); |
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rem = sin(constants::pi<T>() * rem); |
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return invert ? T(-rem) : rem; |
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} |
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} // namespace detail |
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template <class T, class Policy> |
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inline typename tools::promote_args<T>::type sin_pi(T x, const Policy& pol) |
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{ |
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typedef typename tools::promote_args<T>::type result_type; |
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return boost::math::detail::sin_pi_imp<result_type>(x, pol); |
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} |
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template <class T> |
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inline typename tools::promote_args<T>::type sin_pi(T x) |
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{ |
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return boost::math::sin_pi(x, policies::policy<>()); |
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} |
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} // namespace math |
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} // namespace boost |
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#endif |
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