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-// ratio.hpp ---------------------------------------------------------------//
-
-// Copyright 2008 Howard Hinnant
-// Copyright 2008 Beman Dawes
-// Copyright 2009 Vicente J. Botet Escriba
-
-// Distributed under the Boost Software License, Version 1.0.
-// See http://www.boost.org/LICENSE_1_0.txt
-
-/*
-
-This code was derived by Beman Dawes from Howard Hinnant's time2_demo prototype.
-Many thanks to Howard for making his code available under the Boost license.
-The original code was modified to conform to Boost conventions and to section
-20.4 Compile-time rational arithmetic [ratio], of the C++ committee working
-paper N2798.
-See http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2008/n2798.pdf.
-
-time2_demo contained this comment:
-
- Much thanks to Andrei Alexandrescu,
- Walter Brown,
- Peter Dimov,
- Jeff Garland,
- Terry Golubiewski,
- Daniel Krugler,
- Anthony Williams.
-*/
-
-// The way overflow is managed for ratio_less is taken from llvm/libcxx/include/ratio
-
-#ifndef BOOST_RATIO_RATIO_HPP
-#define BOOST_RATIO_RATIO_HPP
-
-#include <boost/ratio/config.hpp>
-#include <boost/ratio/detail/mpl/abs.hpp>
-#include <boost/ratio/detail/mpl/sign.hpp>
-#include <boost/ratio/detail/mpl/gcd.hpp>
-#include <boost/ratio/detail/mpl/lcm.hpp>
-#include <cstdlib>
-#include <climits>
-#include <limits>
-#include <boost/cstdint.hpp>
-#include <boost/type_traits/integral_constant.hpp>
-#include <boost/core/enable_if.hpp>
-#include <boost/integer_traits.hpp>
-#include <boost/ratio/ratio_fwd.hpp>
-#include <boost/ratio/detail/overflow_helpers.hpp>
-#ifdef BOOST_RATIO_EXTENSIONS
-#include <boost/rational.hpp>
-#include <boost/ratio/mpl/rational_c_tag.hpp>
-#endif
-
-//
-// We simply cannot include this header on gcc without getting copious warnings of the kind:
-//
-// boost/integer.hpp:77:30: warning: use of C99 long long integer constant
-//
-// And yet there is no other reasonable implementation, so we declare this a system header
-// to suppress these warnings.
-//
-#if defined(__GNUC__) && (__GNUC__ >= 4)
-#pragma GCC system_header
-#endif
-
-namespace boost
-{
-
-
-//----------------------------------------------------------------------------//
-// //
-// 20.6.1 Class template ratio [ratio.ratio] //
-// //
-//----------------------------------------------------------------------------//
-
-template <boost::intmax_t N, boost::intmax_t D>
-class ratio
-{
- static const boost::intmax_t ABS_N = mpl::abs_c<boost::intmax_t, N>::value;
- static const boost::intmax_t ABS_D = mpl::abs_c<boost::intmax_t, D>::value;
- BOOST_RATIO_STATIC_ASSERT(ABS_N >= 0, BOOST_RATIO_NUMERATOR_IS_OUT_OF_RANGE, ());
- BOOST_RATIO_STATIC_ASSERT(ABS_D > 0, BOOST_RATIO_DENOMINATOR_IS_OUT_OF_RANGE, ());
- BOOST_RATIO_STATIC_ASSERT(D != 0, BOOST_RATIO_DIVIDE_BY_0 , ());
- static const boost::intmax_t SIGN_N = mpl::sign_c<boost::intmax_t,N>::value
- * mpl::sign_c<boost::intmax_t,D>::value;
- static const boost::intmax_t GCD = mpl::gcd_c<boost::intmax_t, ABS_N, ABS_D>::value;
-public:
- BOOST_STATIC_CONSTEXPR boost::intmax_t num = SIGN_N * ABS_N / GCD;
- BOOST_STATIC_CONSTEXPR boost::intmax_t den = ABS_D / GCD;
-
-#ifdef BOOST_RATIO_EXTENSIONS
- typedef mpl::rational_c_tag tag;
- typedef boost::rational<boost::intmax_t> value_type;
- typedef boost::intmax_t num_type;
- typedef boost::intmax_t den_type;
- ratio()
- {}
- template <boost::intmax_t _N2, boost::intmax_t _D2>
- ratio(const ratio<_N2, _D2>&,
- typename enable_if_c
- <
- (ratio<_N2, _D2>::num == num &&
- ratio<_N2, _D2>::den == den)
- >::type* = 0)
- {}
-
- template <boost::intmax_t _N2, boost::intmax_t _D2>
- typename enable_if_c
- <
- (ratio<_N2, _D2>::num == num &&
- ratio<_N2, _D2>::den == den),
- ratio&
- >::type
- operator=(const ratio<_N2, _D2>&) {return *this;}
-
- static value_type value() {return value_type(num,den);}
- value_type operator()() const {return value();}
-#endif
- typedef ratio<num, den> type;
-};
-
-#if defined(BOOST_NO_CXX11_CONSTEXPR)
-template <boost::intmax_t N, boost::intmax_t D>
-const boost::intmax_t ratio<N, D>::num;
-template <boost::intmax_t N, boost::intmax_t D>
-const boost::intmax_t ratio<N, D>::den;
-#endif
-
-//----------------------------------------------------------------------------//
-// //
-// 20.6.2 Arithmetic on ratio types [ratio.arithmetic] //
-// //
-//----------------------------------------------------------------------------//
-
-template <class R1, class R2>
-struct ratio_add
-: boost::ratio_detail::ratio_add<R1, R2>::type
-{
-};
-
-template <class R1, class R2>
-struct ratio_subtract
-: boost::ratio_detail::ratio_subtract<R1, R2>::type
-{
-};
-
-template <class R1, class R2>
-struct ratio_multiply
-: boost::ratio_detail::ratio_multiply<R1, R2>::type
-{
-};
-
-template <class R1, class R2>
-struct ratio_divide
-: boost::ratio_detail::ratio_divide<R1, R2>::type
-{
-};
-
-//----------------------------------------------------------------------------//
-// //
-// 20.6.3 Comparision of ratio types [ratio.comparison] //
-// //
-//----------------------------------------------------------------------------//
-
-// ratio_equal
-
-template <class R1, class R2>
-struct ratio_equal
- : public boost::integral_constant<bool,
- (R1::num == R2::num && R1::den == R2::den)>
-{};
-
-template <class R1, class R2>
-struct ratio_not_equal
- : public boost::integral_constant<bool, !ratio_equal<R1, R2>::value>
-{};
-
-// ratio_less
-
-template <class R1, class R2>
-struct ratio_less
- : boost::integral_constant<bool, boost::ratio_detail::ratio_less<R1, R2>::value>
-{};
-
-template <class R1, class R2>
-struct ratio_less_equal
- : boost::integral_constant<bool, !ratio_less<R2, R1>::value>
-{};
-
-template <class R1, class R2>
-struct ratio_greater
- : boost::integral_constant<bool, ratio_less<R2, R1>::value>
-{};
-
-template <class R1, class R2>
-struct ratio_greater_equal
- : boost::integral_constant<bool, !ratio_less<R1, R2>::value>
-{};
-
-template <class R1, class R2>
-struct ratio_gcd :
- ratio<mpl::gcd_c<boost::intmax_t, R1::num, R2::num>::value,
- mpl::lcm_c<boost::intmax_t, R1::den, R2::den>::value>::type
-{
-};
-
- //----------------------------------------------------------------------------//
- // //
- // More arithmetic on ratio types [ratio.arithmetic] //
- // //
- //----------------------------------------------------------------------------//
-
-#ifdef BOOST_RATIO_EXTENSIONS
-template <class R>
-struct ratio_negate
- : ratio<-R::num, R::den>::type
-{
-};
-template <class R>
-struct ratio_abs
- : ratio<mpl::abs_c<boost::intmax_t, R::num>::value, R::den>::type
-{
-};
-template <class R>
-struct ratio_sign
- : mpl::sign_c<boost::intmax_t, R::num>
-{
-};
-
-template <class R>
-struct ratio_inverse
- : ratio<R::den, R::num>::type
-{
-};
-
-
-template <class R1, class R2>
-struct ratio_lcm :
- ratio<mpl::lcm_c<boost::intmax_t, R1::num, R2::num>::value,
- mpl::gcd_c<boost::intmax_t, R1::den, R2::den>::value>::type
-{
-};
-
-template <class R1, class R2>
-struct ratio_modulo :
- ratio<(R1::num * R2::den) % (R2::num * R1::den), R1::den * R2::den>::type
-{
-};
-
-namespace detail {
- template <class R1, class R2, bool r1ltr2>
- struct ratio_min : R1 {};
- template <class R1, class R2>
- struct ratio_min<R1,R2,false> : R2 {};
-
- template <class R1, class R2, bool r1ltr2>
- struct ratio_max : R2 {};
- template <class R1, class R2>
- struct ratio_max<R1,R2,false> : R1 {};
-}
-
-template <class R1, class R2>
-struct ratio_min : detail::ratio_min<R1, R2, ratio_less<R1,R2>::value>::type
-{
-};
-
-template <class R1, class R2>
-struct ratio_max : detail::ratio_max<R1, R2, ratio_less<R1,R2>::value>::type
-{
-};
-
-template<typename R, int p>
-struct ratio_power :
- ratio_multiply<
- typename ratio_power<R, p%2>::type,
- typename ratio_power<typename ratio_multiply<R, R>::type, p/2>::type
- >::type
-{};
-
-template<typename R>
-struct ratio_power<R, 0> : ratio<1>::type {};
-
-template<typename R>
-struct ratio_power<R, 1> : R {};
-
-template<typename R>
-struct ratio_power<R, -1> : ratio_divide<ratio<1>, R>::type {};
-
-#endif
-} // namespace boost
-
-
-#endif // BOOST_RATIO_RATIO_HPP