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// ratio.hpp ---------------------------------------------------------------//
// Copyright 2010 Vicente J. Botet Escriba
// Distributed under the Boost Software License, Version 1.0.
// See http://www.boost.org/LICENSE_1_0.txt
#ifndef BOOST_RATIO_HPP
#define BOOST_RATIO_HPP
#include <boost/ratio/include.hpp>
#endif // BOOST_RATIO_HPP

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// config.hpp ---------------------------------------------------------------//
// Copyright 2012 Vicente J. Botet Escriba
// Distributed under the Boost Software License, Version 1.0.
// See http://www.boost.org/LICENSE_1_0.txt
#ifndef BOOST_RATIO_CONFIG_HPP
#define BOOST_RATIO_CONFIG_HPP
#include <boost/config.hpp>
#include <boost/cstdint.hpp>
#if __GNUC__ < 4 || (__GNUC__ == 4 && __GNUC_MINOR__ < 5) || !defined(__GXX_EXPERIMENTAL_CXX0X__)
# if ! defined BOOST_NO_CXX11_U16STRING
# define BOOST_NO_CXX11_U16STRING
# endif
# if ! defined BOOST_NO_CXX11_U32STRING
# define BOOST_NO_CXX11_U32STRING
# endif
#endif
#if !defined BOOST_RATIO_VERSION
#define BOOST_RATIO_VERSION 1
#else
#if BOOST_RATIO_VERSION!=1 && BOOST_RATIO_VERSION!=2
#error "BOOST_RATIO_VERSION must be 1 or 2"
#endif
#endif
#if BOOST_RATIO_VERSION==1
#if ! defined BOOST_RATIO_DONT_PROVIDE_DEPRECATED_FEATURES_SINCE_V2_0_0
#define BOOST_RATIO_PROVIDES_DEPRECATED_FEATURES_SINCE_V2_0_0
#endif
#endif
#if BOOST_RATIO_VERSION==2
#if ! defined BOOST_RATIO_PROVIDES_DEPRECATED_FEATURES_SINCE_V2_0_0
#define BOOST_RATIO_DONT_PROVIDE_DEPRECATED_FEATURES_SINCE_V2_0_0
#endif
#endif
#ifdef INTMAX_C
#define BOOST_RATIO_INTMAX_C(a) INTMAX_C(a)
#elif __cplusplus >= 201103L
#define BOOST_RATIO_INTMAX_C(a) a##LL
#else
#define BOOST_RATIO_INTMAX_C(a) a##L
#endif
#ifdef UINTMAX_C
#define BOOST_RATIO_UINTMAX_C(a) UINTMAX_C(a)
#elif __cplusplus >= 201103L
#define BOOST_RATIO_UINTMAX_C(a) a##ULL
#else
#define BOOST_RATIO_UINTMAX_C(a) a##UL
#endif
#define BOOST_RATIO_INTMAX_T_MAX (0x7FFFFFFFFFFFFFFELL)
#ifndef BOOST_NO_CXX11_STATIC_ASSERT
#define BOOST_RATIO_STATIC_ASSERT(CND, MSG, TYPES) static_assert(CND,MSG)
#elif defined(BOOST_RATIO_USES_STATIC_ASSERT)
#include <boost/static_assert.hpp>
#define BOOST_RATIO_STATIC_ASSERT(CND, MSG, TYPES) BOOST_STATIC_ASSERT(CND)
#elif defined(BOOST_RATIO_USES_MPL_ASSERT)
#include <boost/mpl/assert.hpp>
#include <boost/mpl/bool.hpp>
#define BOOST_RATIO_STATIC_ASSERT(CND, MSG, TYPES) \
BOOST_MPL_ASSERT_MSG(boost::mpl::bool_< (CND) >::type::value, MSG, TYPES)
#else
//~ #elif defined(BOOST_RATIO_USES_ARRAY_ASSERT)
#define BOOST_RATIO_CONCAT(A,B) A##B
#define BOOST_RATIO_NAME(A,B) BOOST_RATIO_CONCAT(A,B)
#define BOOST_RATIO_STATIC_ASSERT(CND, MSG, TYPES) static char BOOST_RATIO_NAME(__boost_ratio_test_,__LINE__)[(CND)?1:-1]
//~ #define BOOST_RATIO_STATIC_ASSERT(CND, MSG, TYPES)
#endif
#if !defined(BOOST_NO_CXX11_STATIC_ASSERT) || !defined(BOOST_RATIO_USES_MPL_ASSERT)
#define BOOST_RATIO_OVERFLOW_IN_ADD "overflow in ratio add"
#define BOOST_RATIO_OVERFLOW_IN_SUB "overflow in ratio sub"
#define BOOST_RATIO_OVERFLOW_IN_MUL "overflow in ratio mul"
#define BOOST_RATIO_OVERFLOW_IN_DIV "overflow in ratio div"
#define BOOST_RATIO_NUMERATOR_IS_OUT_OF_RANGE "ratio numerator is out of range"
#define BOOST_RATIO_DIVIDE_BY_0 "ratio divide by 0"
#define BOOST_RATIO_DENOMINATOR_IS_OUT_OF_RANGE "ratio denominator is out of range"
#endif
//#define BOOST_RATIO_EXTENSIONS
#endif // header

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////////////////////////////////////////////////////////////////////
//
// Copyright Vicente J. Botet Escriba 2010
//
// Distributed under 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)
//
// See http://www.boost.org/libs/mpl for documentation.
//
////////////////////////////////////////////////////////////////////
#ifndef BOOST_MPL_ABS_HPP_INCLUDED
#define BOOST_MPL_ABS_HPP_INCLUDED
#include <boost/mpl/integral_c.hpp>
#include <boost/mpl/aux_/na_spec.hpp>
#include <boost/mpl/aux_/lambda_support.hpp>
#include <boost/mpl/aux_/config/integral.hpp>
#include <boost/mpl/aux_/config/static_constant.hpp>
#if !defined(BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2) \
&& !defined(BOOST_MPL_PREPROCESSING_MODE) \
&& !defined(__CUDACC__) \
&& ( defined(BOOST_MSVC) \
|| BOOST_WORKAROUND(__EDG_VERSION__, <= 238) \
)
# define BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2
#endif
namespace boost { namespace mpl {
template< typename Tag > struct abs_impl;
template< typename T > struct abs_tag
{
typedef typename T::tag type;
};
template<
typename BOOST_MPL_AUX_NA_PARAM(N)
>
struct abs
: abs_impl<
typename abs_tag<N>::type
>::template apply<N>::type
{
BOOST_MPL_AUX_LAMBDA_SUPPORT(1, abs, (N))
};
BOOST_MPL_AUX_NA_SPEC(1, abs)
template<
typename T
, T n1
>
struct abs_c
: abs<integral_c<T,n1> >
{
};
#if defined(BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2)
namespace aux {
template< typename T, T n > struct abs_wknd
{
BOOST_STATIC_CONSTANT(T, value = (n < 0 ? -n : n));
typedef integral_c<T,value> type;
};
}
#endif
template<>
struct abs_impl<integral_c_tag>
{
#if defined(BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2)
template< typename N > struct apply
: aux::abs_wknd< typename N::value_type, N::value >
#else
template< typename N > struct apply
: integral_c< typename N::value_type, ((N::value < 0) ? (-N::value) : N::value ) >
#endif
{
};
};
}}
#endif // BOOST_MPL_ABS_HPP_INCLUDED

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////////////////////////////////////////////////////////////////////
//
// Copyright Vicente J. Botet Escriba 2010
//
// Distributed under 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)
//
// See http://www.boost.org/libs/mpl for documentation.
//
////////////////////////////////////////////////////////////////////
#ifndef BOOST_MPL_GCD_HPP_INCLUDED
#define BOOST_MPL_GCD_HPP_INCLUDED
#include <boost/mpl/integral_c.hpp>
#include <boost/ratio/detail/mpl/abs.hpp>
#include <boost/mpl/aux_/largest_int.hpp>
#include <boost/mpl/aux_/na_spec.hpp>
#include <boost/mpl/aux_/lambda_support.hpp>
#include <boost/mpl/aux_/config/integral.hpp>
#include <boost/mpl/aux_/config/static_constant.hpp>
#include <boost/mpl/aux_/config/dependent_nttp.hpp>
#include <boost/cstdint.hpp>
#if !defined(BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2) \
&& !defined(BOOST_MPL_PREPROCESSING_MODE) \
&& !defined(__CUDACC__) \
&& ( defined(BOOST_MSVC) \
|| BOOST_WORKAROUND(__EDG_VERSION__, <= 238) \
)
# define BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2
#endif
namespace boost { namespace mpl {
template< typename Tag1, typename Tag2 > struct gcd_impl;
template< typename T > struct gcd_tag
{
typedef typename T::tag type;
};
template<
typename BOOST_MPL_AUX_NA_PARAM(N1)
, typename BOOST_MPL_AUX_NA_PARAM(N2)
>
struct gcd
: gcd_impl<
typename gcd_tag<N1>::type
, typename gcd_tag<N2>::type
>::template apply<N1, N2>::type
{
BOOST_MPL_AUX_LAMBDA_SUPPORT(2, gcd, (N1, N2))
};
BOOST_MPL_AUX_NA_SPEC(2, gcd)
template<
typename T
, T n1
, T n2
>
struct gcd_c
: gcd<integral_c<T,n1>,integral_c<T,n2> >
{
};
namespace aux {
// Workaround for error: the type of partial specialization template parameter constant "n2"
// depends on another template parameter
// Note: this solution could be wrong for n1 or n2 = [2**63 .. 2**64-1]
#if defined(BOOST_MPL_CFG_NO_DEPENDENT_NONTYPE_PARAMETER_IN_PARTIAL_SPEC)
template< typename T1, boost::intmax_t n1, bool n1_is_0
, typename T2, boost::intmax_t n2, bool n2_is_0 >
struct gcd_aux
: gcd_aux<T2, n2, n2==0, T1, (n1 % n2), (n1 % n2)==0>
{};
template <typename T1, boost::intmax_t n1, typename T2, boost::intmax_t n2>
struct gcd_aux<T1, n1, false, T2, n2, true> : integral_c<T1, n1>
{};
template <typename T1, boost::intmax_t n1, typename T2, boost::intmax_t n2, bool C>
struct gcd_aux<T1, n1, true, T2, n2, C> : integral_c<T2, n2>
{};
#else // defined(BOOST_MPL_CFG_NO_DEPENDENT_NONTYPE_PARAMETER_IN_PARTIAL_SPEC)
template< typename T1, T1 n1, bool n1_is_0, typename T2, T2 n2, bool n2_is_0 >
struct gcd_aux
: gcd_aux<T2, n2, n2==0,
typename aux::largest_int<T1, T2>::type,
//~ T1,
(n1 % n2), (n1 % n2)==0>
{};
template <typename T1, T1 n1, typename T2, T2 n2>
struct gcd_aux<T1, n1, false, T2, n2, true> : integral_c<T1, n1>
{};
template <typename T1, T1 n1, typename T2, T2 n2, bool C>
struct gcd_aux<T1, n1, true, T2, n2, C> : integral_c<T2, n2>
{};
#endif // defined(BOOST_MPL_CFG_NO_DEPENDENT_NONTYPE_PARAMETER_IN_PARTIAL_SPEC)
}
template<>
struct gcd_impl<integral_c_tag, integral_c_tag>
{
template< typename N1, typename N2 > struct apply
: abs<aux::gcd_aux< typename N1::value_type, N1::value, N1::value==0,
typename N2::value_type, N2::value, N2::value==0 > >
{
};
};
}}
#endif // BOOST_MPL_GCD_HPP_INCLUDED

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////////////////////////////////////////////////////////////////////
//
// Copyright Vicente J. Botet Escriba 2010
//
// Distributed under 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)
//
// See http://www.boost.org/libs/mpl for documentation.
//
////////////////////////////////////////////////////////////////////
#ifndef BOOST_MPL_LCM_HPP_INCLUDED
#define BOOST_MPL_LCM_HPP_INCLUDED
#include <boost/mpl/integral_c.hpp>
#include <boost/ratio/detail/mpl/abs.hpp>
#include <boost/mpl/aux_/largest_int.hpp>
#include <boost/mpl/aux_/na_spec.hpp>
#include <boost/mpl/aux_/lambda_support.hpp>
#include <boost/mpl/aux_/config/integral.hpp>
#include <boost/mpl/aux_/config/static_constant.hpp>
#include <boost/mpl/aux_/config/dependent_nttp.hpp>
#include <boost/cstdint.hpp>
#if !defined(BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2) \
&& !defined(BOOST_MPL_PREPROCESSING_MODE) \
&& !defined(__CUDACC__) \
&& ( defined(BOOST_MSVC) \
|| BOOST_WORKAROUND(__EDG_VERSION__, <= 238) \
)
# define BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2
#endif
namespace boost { namespace mpl {
template< typename Tag1, typename Tag2 > struct lcm_impl;
template< typename T > struct lcm_tag
{
typedef typename T::tag type;
};
template<
typename BOOST_MPL_AUX_NA_PARAM(N1)
, typename BOOST_MPL_AUX_NA_PARAM(N2)
>
struct lcm
: lcm_impl<
typename lcm_tag<N1>::type
, typename lcm_tag<N2>::type
>::template apply<N1, N2>::type
{
BOOST_MPL_AUX_LAMBDA_SUPPORT(2, lcm, (N1, N2))
};
BOOST_MPL_AUX_NA_SPEC(2, lcm)
template<
typename T
, T n1
, T n2
>
struct lcm_c
: lcm<integral_c<T,n1>,integral_c<T,n2> >
{
};
namespace aux {
// Workaround for error: the type of partial specialization template parameter constant "n2"
// depends on another template parameter
// Note: this solution could be wrong for n1 or n2 = [2**63 .. 2**64-1]
#if defined(BOOST_MPL_CFG_NO_DEPENDENT_NONTYPE_PARAMETER_IN_PARTIAL_SPEC)
template< typename T1, boost::intmax_t n1, bool n1_is_0
, typename T2, boost::intmax_t n2, bool n2_is_0 >
struct lcm_aux
: abs<integral_c< typename aux::largest_int<T1, T2>::type,
( n1 / gcd<integral_c<T1,n1>, integral_c<T2,n2> >::value * n2 )
> >
{};
template <typename T1, boost::intmax_t n1, typename T2, boost::intmax_t n2>
struct lcm_aux<T1, n1, false, T2, n2, true> : integral_c<T2, 0>
{};
template <typename T1, boost::intmax_t n1, typename T2, boost::intmax_t n2, bool C>
struct lcm_aux<T1, n1, true, T2, n2, C> : integral_c<T1, 0>
{};
#else // defined(BOOST_MPL_CFG_NO_DEPENDENT_NONTYPE_PARAMETER_IN_PARTIAL_SPEC)
template< typename T1, T1 n1, bool n1_is_0, typename T2, T2 n2, bool n2_is_0 >
struct lcm_aux
: abs<integral_c< typename aux::largest_int<T1, T2>::type,
( n1 / gcd<integral_c<T1,n1>, integral_c<T2,n2> >::value * n2 )
> >
{};
template <typename T1, T1 n1, typename T2, T2 n2>
struct lcm_aux<T1, n1, false, T2, n2, true> : integral_c<T2, 0>
{};
template <typename T1, T1 n1, typename T2, T2 n2, bool C>
struct lcm_aux<T1, n1, true, T2, n2, C> : integral_c<T1, 0>
{};
#endif // defined(BOOST_MPL_CFG_NO_DEPENDENT_NONTYPE_PARAMETER_IN_PARTIAL_SPEC)
}
template<>
struct lcm_impl<integral_c_tag, integral_c_tag>
{
template< typename N1, typename N2 > struct apply
: abs<aux::lcm_aux< typename N1::value_type, N1::value, N1::value==0,
typename N2::value_type, N2::value, N2::value==0 > >
{
};
};
}}
#endif // BOOST_MPL_LCM_HPP_INCLUDED

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////////////////////////////////////////////////////////////////////
//
// Copyright Vicente J. Botet Escriba 2010
//
// Distributed under 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)
//
// See http://www.boost.org/libs/mpl for documentation.
//
////////////////////////////////////////////////////////////////////
#ifndef BOOST_MPL_SIGN_HPP_INCLUDED
#define BOOST_MPL_SIGN_HPP_INCLUDED
#include <boost/mpl/integral_c.hpp>
#include <boost/mpl/aux_/na_spec.hpp>
#include <boost/mpl/aux_/lambda_support.hpp>
#include <boost/mpl/aux_/config/integral.hpp>
#include <boost/mpl/aux_/config/static_constant.hpp>
#if !defined(BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2) \
&& !defined(BOOST_MPL_PREPROCESSING_MODE) \
&& !defined(__CUDACC__) \
&& ( defined(BOOST_MSVC) \
|| BOOST_WORKAROUND(__EDG_VERSION__, <= 238) \
)
# define BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2
#endif
namespace boost { namespace mpl {
template< typename Tag > struct sign_impl;
template< typename T > struct sign_tag
{
typedef typename T::tag type;
};
template<
typename BOOST_MPL_AUX_NA_PARAM(N)
>
struct sign
: sign_impl<
typename sign_tag<N>::type
>::template apply<N>::type
{
BOOST_MPL_AUX_LAMBDA_SUPPORT(1, sign, (N))
};
BOOST_MPL_AUX_NA_SPEC(1, sign)
template<
typename T
, T n1
>
struct sign_c
: sign<integral_c<T,n1> >
{
};
#if defined(BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2)
namespace aux {
template< typename T, T n > struct sign_wknd
{
BOOST_STATIC_CONSTANT(T, value = (n == 0 ? 0 : (n < 0 ? -1 : 1)));
typedef integral_c<T,value> type;
};
}
#endif
template<>
struct sign_impl<integral_c_tag>
{
#if defined(BOOST_MPL_CFG_NO_NESTED_VALUE_ARITHMETIC_2)
template< typename N > struct apply
: aux::sign_wknd< typename N::value_type, N::value >
#else
template< typename N > struct apply
: integral_c< typename N::value_type, (N::value == 0 ? 0 : (N::value < 0 ? -1 : 1)) >
#endif
{
};
};
}}
#endif // BOOST_MPL_SIGN_HPP_INCLUDED

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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_DETAIL_RATIO_OPERATIONS_HPP
#define BOOST_RATIO_DETAIL_RATIO_OPERATIONS_HPP
#include <boost/ratio/config.hpp>
#include <boost/ratio/detail/mpl/abs.hpp>
#include <boost/ratio/detail/mpl/sign.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>
//
// 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
{
//----------------------------------------------------------------------------//
// helpers //
//----------------------------------------------------------------------------//
namespace ratio_detail
{
template <boost::intmax_t X, boost::intmax_t Y, boost::intmax_t = mpl::sign_c<boost::intmax_t, Y>::value>
class br_add;
template <boost::intmax_t X, boost::intmax_t Y>
class br_add<X, Y, 1>
{
static const boost::intmax_t min = boost::integer_traits<boost::intmax_t>::const_min;
static const boost::intmax_t max = boost::integer_traits<boost::intmax_t>::const_max;
BOOST_RATIO_STATIC_ASSERT(X <= max - Y , BOOST_RATIO_OVERFLOW_IN_ADD, ());
public:
static const boost::intmax_t value = X + Y;
};
template <boost::intmax_t X, boost::intmax_t Y>
class br_add<X, Y, 0>
{
public:
static const boost::intmax_t value = X;
};
template <boost::intmax_t X, boost::intmax_t Y>
class br_add<X, Y, -1>
{
static const boost::intmax_t min = boost::integer_traits<boost::intmax_t>::const_min;
static const boost::intmax_t max = boost::integer_traits<boost::intmax_t>::const_max;
BOOST_RATIO_STATIC_ASSERT(min - Y <= X, BOOST_RATIO_OVERFLOW_IN_ADD, ());
public:
static const boost::intmax_t value = X + Y;
};
template <boost::intmax_t X, boost::intmax_t Y, boost::intmax_t = mpl::sign_c<boost::intmax_t, Y>::value>
class br_sub;
template <boost::intmax_t X, boost::intmax_t Y>
class br_sub<X, Y, 1>
{
static const boost::intmax_t min = boost::integer_traits<boost::intmax_t>::const_min;
static const boost::intmax_t max = boost::integer_traits<boost::intmax_t>::const_max;
BOOST_RATIO_STATIC_ASSERT(min + Y <= X, BOOST_RATIO_OVERFLOW_IN_SUB, ());
public:
static const boost::intmax_t value = X - Y;
};
template <boost::intmax_t X, boost::intmax_t Y>
class br_sub<X, Y, 0>
{
public:
static const boost::intmax_t value = X;
};
template <boost::intmax_t X, boost::intmax_t Y>
class br_sub<X, Y, -1>
{
static const boost::intmax_t min = boost::integer_traits<boost::intmax_t>::const_min;
static const boost::intmax_t max = boost::integer_traits<boost::intmax_t>::const_max;
BOOST_RATIO_STATIC_ASSERT(X <= max + Y, BOOST_RATIO_OVERFLOW_IN_SUB, ());
public:
static const boost::intmax_t value = X - Y;
};
template <boost::intmax_t X, boost::intmax_t Y>
class br_mul
{
static const boost::intmax_t nan =
boost::intmax_t(BOOST_RATIO_UINTMAX_C(1) << (sizeof(boost::intmax_t) * CHAR_BIT - 1));
static const boost::intmax_t min = boost::integer_traits<boost::intmax_t>::const_min;
static const boost::intmax_t max = boost::integer_traits<boost::intmax_t>::const_max;
static const boost::intmax_t a_x = mpl::abs_c<boost::intmax_t, X>::value;
static const boost::intmax_t a_y = mpl::abs_c<boost::intmax_t, Y>::value;
BOOST_RATIO_STATIC_ASSERT(X != nan, BOOST_RATIO_OVERFLOW_IN_MUL, ());
BOOST_RATIO_STATIC_ASSERT(Y != nan, BOOST_RATIO_OVERFLOW_IN_MUL, ());
BOOST_RATIO_STATIC_ASSERT(a_x <= max / a_y, BOOST_RATIO_OVERFLOW_IN_MUL, ());
public:
static const boost::intmax_t value = X * Y;
};
template <boost::intmax_t Y>
class br_mul<0, Y>
{
public:
static const boost::intmax_t value = 0;
};
template <boost::intmax_t X>
class br_mul<X, 0>
{
public:
static const boost::intmax_t value = 0;
};
template <>
class br_mul<0, 0>
{
public:
static const boost::intmax_t value = 0;
};
// Not actually used but left here in case needed in future maintenance
template <boost::intmax_t X, boost::intmax_t Y>
class br_div
{
static const boost::intmax_t nan = boost::intmax_t(BOOST_RATIO_UINTMAX_C(1) << (sizeof(boost::intmax_t) * CHAR_BIT - 1));
static const boost::intmax_t min = boost::integer_traits<boost::intmax_t>::const_min;
static const boost::intmax_t max = boost::integer_traits<boost::intmax_t>::const_max;
BOOST_RATIO_STATIC_ASSERT(X != nan, BOOST_RATIO_OVERFLOW_IN_DIV, ());
BOOST_RATIO_STATIC_ASSERT(Y != nan, BOOST_RATIO_OVERFLOW_IN_DIV, ());
BOOST_RATIO_STATIC_ASSERT(Y != 0, BOOST_RATIO_DIVIDE_BY_0, ());
public:
static const boost::intmax_t value = X / Y;
};
// ratio arithmetic
template <class R1, class R2> struct ratio_add;
template <class R1, class R2> struct ratio_subtract;
template <class R1, class R2> struct ratio_multiply;
template <class R1, class R2> struct ratio_divide;
template <class R1, class R2>
struct ratio_add
{
//The nested typedef type shall be a synonym for ratio<T1, T2>::type where T1 has the value R1::num *
//R2::den + R2::num * R1::den and T2 has the value R1::den * R2::den.
// As the preceding doesn't works because of overflow on boost::intmax_t we need something more elaborated.
private:
static const boost::intmax_t gcd_n1_n2 = mpl::gcd_c<boost::intmax_t, R1::num, R2::num>::value;
static const boost::intmax_t gcd_d1_d2 = mpl::gcd_c<boost::intmax_t, R1::den, R2::den>::value;
public:
// No need to normalize as ratio_multiply is already normalized
typedef typename ratio_multiply
<
ratio<gcd_n1_n2, R1::den / gcd_d1_d2>,
ratio
<
boost::ratio_detail::br_add
<
boost::ratio_detail::br_mul<R1::num / gcd_n1_n2, R2::den / gcd_d1_d2>::value,
boost::ratio_detail::br_mul<R2::num / gcd_n1_n2, R1::den / gcd_d1_d2>::value
>::value,
R2::den
>
>::type type;
};
template <class R, boost::intmax_t D>
struct ratio_add<R, ratio<0,D> >
{
typedef R type;
};
template <class R1, class R2>
struct ratio_subtract
{
//The nested typedef type shall be a synonym for ratio<T1, T2>::type where T1 has the value
// R1::num *R2::den - R2::num * R1::den and T2 has the value R1::den * R2::den.
// As the preceding doesn't works because of overflow on boost::intmax_t we need something more elaborated.
private:
static const boost::intmax_t gcd_n1_n2 = mpl::gcd_c<boost::intmax_t, R1::num, R2::num>::value;
static const boost::intmax_t gcd_d1_d2 = mpl::gcd_c<boost::intmax_t, R1::den, R2::den>::value;
public:
// No need to normalize as ratio_multiply is already normalized
typedef typename ratio_multiply
<
ratio<gcd_n1_n2, R1::den / gcd_d1_d2>,
ratio
<
boost::ratio_detail::br_sub
<
boost::ratio_detail::br_mul<R1::num / gcd_n1_n2, R2::den / gcd_d1_d2>::value,
boost::ratio_detail::br_mul<R2::num / gcd_n1_n2, R1::den / gcd_d1_d2>::value
>::value,
R2::den
>
>::type type;
};
template <class R, boost::intmax_t D>
struct ratio_subtract<R, ratio<0,D> >
{
typedef R type;
};
template <class R1, class R2>
struct ratio_multiply
{
// The nested typedef type shall be a synonym for ratio<R1::num * R2::den - R2::num * R1::den, R1::den * R2::den>::type.
// As the preceding doesn't works because of overflow on boost::intmax_t we need something more elaborated.
private:
static const boost::intmax_t gcd_n1_d2 = mpl::gcd_c<boost::intmax_t, R1::num, R2::den>::value;
static const boost::intmax_t gcd_d1_n2 = mpl::gcd_c<boost::intmax_t, R1::den, R2::num>::value;
public:
typedef typename ratio
<
boost::ratio_detail::br_mul<R1::num / gcd_n1_d2, R2::num / gcd_d1_n2>::value,
boost::ratio_detail::br_mul<R2::den / gcd_n1_d2, R1::den / gcd_d1_n2>::value
>::type type;
};
template <class R1, class R2>
struct ratio_divide
{
// The nested typedef type shall be a synonym for ratio<R1::num * R2::den, R2::num * R1::den>::type.
// As the preceding doesn't works because of overflow on boost::intmax_t we need something more elaborated.
private:
static const boost::intmax_t gcd_n1_n2 = mpl::gcd_c<boost::intmax_t, R1::num, R2::num>::value;
static const boost::intmax_t gcd_d1_d2 = mpl::gcd_c<boost::intmax_t, R1::den, R2::den>::value;
public:
typedef typename ratio
<
boost::ratio_detail::br_mul<R1::num / gcd_n1_n2, R2::den / gcd_d1_d2>::value,
boost::ratio_detail::br_mul<R2::num / gcd_n1_n2, R1::den / gcd_d1_d2>::value
>::type type;
};
template <class R1, class R2>
struct is_evenly_divisible_by
{
private:
static const boost::intmax_t gcd_n1_n2 = mpl::gcd_c<boost::intmax_t, R1::num, R2::num>::value;
static const boost::intmax_t gcd_d1_d2 = mpl::gcd_c<boost::intmax_t, R1::den, R2::den>::value;
public:
typedef integral_constant<bool,
((R2::num / gcd_n1_n2 ==1) && (R1::den / gcd_d1_d2)==1)
> type;
};
template <class T>
struct is_ratio : public boost::false_type
{};
template <boost::intmax_t N, boost::intmax_t D>
struct is_ratio<ratio<N, D> > : public boost::true_type
{};
template <class R1, class R2,
boost::intmax_t Q1 = R1::num / R1::den, boost::intmax_t M1 = R1::num % R1::den,
boost::intmax_t Q2 = R2::num / R2::den, boost::intmax_t M2 = R2::num % R2::den>
struct ratio_less1
{
static const bool value = Q1 < Q2;
};
template <class R1, class R2, boost::intmax_t Q>
struct ratio_less1<R1, R2, Q, 0, Q, 0>
{
static const bool value = false;
};
template <class R1, class R2, boost::intmax_t Q, boost::intmax_t M2>
struct ratio_less1<R1, R2, Q, 0, Q, M2>
{
static const bool value = true;
};
template <class R1, class R2, boost::intmax_t Q, boost::intmax_t M1>
struct ratio_less1<R1, R2, Q, M1, Q, 0>
{
static const bool value = false;
};
template <class R1, class R2, boost::intmax_t Q, boost::intmax_t M1, boost::intmax_t M2>
struct ratio_less1<R1, R2, Q, M1, Q, M2>
{
static const bool value = ratio_less1<ratio<R2::den, M2>, ratio<R1::den, M1>
>::value;
};
template <
class R1,
class R2,
boost::intmax_t S1 = mpl::sign_c<boost::intmax_t, R1::num>::value,
boost::intmax_t S2 = mpl::sign_c<boost::intmax_t, R2::num>::value
>
struct ratio_less
{
static const bool value = S1 < S2;
};
template <class R1, class R2>
struct ratio_less<R1, R2, 1LL, 1LL>
{
static const bool value = ratio_less1<R1, R2>::value;
};
template <class R1, class R2>
struct ratio_less<R1, R2, -1LL, -1LL>
{
static const bool value = ratio_less1<ratio<-R2::num, R2::den>,
ratio<-R1::num, R1::den> >::value;
};
} // namespace ratio_detail
} // namespace boost
#endif // BOOST_RATIO_HPP

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// include.hpp ---------------------------------------------------------------//
// Copyright 2011 Vicente J. Botet Escriba
// Distributed under the Boost Software License, Version 1.0.
// See http://www.boost.org/LICENSE_1_0.txt
#ifndef BOOST_RATIO_INCLUDE_HPP
#define BOOST_RATIO_INCLUDE_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/ratio_io.hpp>
#ifdef BOOST_RATIO_EXTENSIONS
#include <boost/ratio/mpl/rational_constant.hpp>
#endif
#endif // BOOST_RATIO_INCLUDE_HPP

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// abs.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_ABS_HPP
#define BOOST_RATIO_MPL_ABS_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/ratio/detail/mpl/abs.hpp>
namespace boost {
namespace mpl {
template<>
struct abs_impl< rational_c_tag >
{
template< typename R > struct apply
: ratio_abs<R>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_ABS_HPP

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// arithmetic.hpp ---------------------------------------------------------------//
// Copyright 2011 Vicente J. Botet Escriba
// Distributed under the Boost Software License, Version 1.0.
// See http://www.boost.org/LICENSE_1_0.txt
#ifndef BOOST_RATIO_MPL_ARITHMETIC_HPP
#define BOOST_RATIO_MPL_ARITHMETIC_HPP
#include <boost/ratio/mpl/plus.hpp>
#include <boost/ratio/mpl/minus.hpp>
#include <boost/ratio/mpl/times.hpp>
#include <boost/ratio/mpl/divides.hpp>
#include <boost/ratio/mpl/negate.hpp>
#include <boost/ratio/mpl/abs.hpp>
#include <boost/ratio/mpl/sign.hpp>
#include <boost/ratio/mpl/gcd.hpp>
#include <boost/ratio/mpl/lcm.hpp>
#endif // BOOST_RATIO_MPL_ARITHMETIC_HPP

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// comparison.hpp ---------------------------------------------------------------//
// Copyright 2011 Vicente J. Botet Escriba
// Distributed under the Boost Software License, Version 1.0.
// See http://www.boost.org/LICENSE_1_0.txt
#ifndef BOOST_RATIO_MPL_COMPARISON_HPP
#define BOOST_RATIO_MPL_COMPARISON_HPP
#include <boost/ratio/mpl/equal_to.hpp>
#include <boost/ratio/mpl/not_equal_to.hpp>
#include <boost/ratio/mpl/less.hpp>
#include <boost/ratio/mpl/less_equal.hpp>
#include <boost/ratio/mpl/greater.hpp>
#include <boost/ratio/mpl/greater_equal.hpp>
#endif // BOOST_RATIO_MPL_COMPARISON_HPP

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// divides.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_DIVIDES_HPP
#define BOOST_RATIO_MPL_DIVIDES_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/mpl/divides.hpp>
namespace boost {
namespace mpl {
template<>
struct divides_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_divide<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_DIVIDES_HPP

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// equal_to.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_EQUAL_TO_HPP
#define BOOST_RATIO_MPL_EQUAL_TO_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/mpl/equal_to.hpp>
namespace boost {
namespace mpl {
template<>
struct equal_to_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_equal<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_EQUAL_TO_HPP

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// gcd.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_GCD_HPP
#define BOOST_RATIO_MPL_GCD_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/ratio/detail/mpl/gcd.hpp>
namespace boost {
namespace mpl {
template<>
struct gcd_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_gcd<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_GCD_HPP

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// greater.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_GREATER_HPP
#define BOOST_RATIO_MPL_GREATER_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/mpl/greater.hpp>
namespace boost {
namespace mpl {
template<>
struct greater_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_greater<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_GREATER_HPP

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// greater_equal.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_GREATER_EQUAL_HPP
#define BOOST_RATIO_MPL_GREATER_EQUAL_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/mpl/greater_equal.hpp>
namespace boost {
namespace mpl {
template<>
struct greater_equal_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_greater_equal<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_GREATER_EQUAL_HPP

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// lcm.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_LCM_HPP
#define BOOST_RATIO_MPL_LCM_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/ratio/detail/mpl/lcm.hpp>
namespace boost {
namespace mpl {
template<>
struct lcm_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_lcm<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_LCM_HPP

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// less.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_LESS_HPP
#define BOOST_RATIO_MPL_LESS_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/mpl/less.hpp>
namespace boost {
namespace mpl {
template<>
struct less_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_less<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_LESS_HPP

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// less_equal.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_LESS_EQUAL_HPP
#define BOOST_RATIO_MPL_LESS_EQUAL_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/mpl/less_equal.hpp>
namespace boost {
namespace mpl {
template<>
struct less_equal_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_less_equal<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_LESS_EQUAL_HPP

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// minus.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_MINUS_HPP
#define BOOST_RATIO_MPL_MINUS_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/mpl/minus.hpp>
namespace boost {
namespace mpl {
template<>
struct minus_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_subtract<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_MINUS_HPP

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// negate.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_NEGATE_HPP
#define BOOST_RATIO_MPL_NEGATE_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/mpl/negate.hpp>
namespace boost {
namespace mpl {
template<>
struct negate_impl< rational_c_tag >
{
template< typename R > struct apply
: ratio_negate<R>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_NEGATE_HPP

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// not_equal_to.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_NOT_EQUAL_TO_HPP
#define BOOST_RATIO_MPL_NOT_EQUAL_TO_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/mpl/not_equal_to.hpp>
namespace boost {
namespace mpl {
template<>
struct not_equal_to_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_not_equal<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_NOT_EQUAL_TO_HPP

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// numeric_cast.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_NUMERIC_CAST_HPP
#define BOOST_RATIO_MPL_NUMERIC_CAST_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/mpl/integral_c.hpp>
#include <boost/ratio/mpl/rational_c_tag.hpp>
#include <boost/mpl/numeric_cast.hpp>
namespace boost {
namespace mpl {
template<> struct numeric_cast< integral_c_tag,rational_c_tag >
{
template< typename N > struct apply
: ratio< N::value, 1 >
{
};
};
}
}
#endif // BOOST_RATIO_MPL_NUMERIC_CAST_HPP

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// plus.hpp
//
// (C) Copyright 2011Vicente J. Botet Escriba
// 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_RATIO_MPL_PLUS_HPP
#define BOOST_RATIO_MPL_PLUS_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/mpl/plus.hpp>
namespace boost {
namespace mpl {
template<>
struct plus_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_add<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_PLUS_HPP

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// abs.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_RATIONAL_C_TAG_HPP
#define BOOST_RATIO_MPL_RATIONAL_C_TAG_HPP
#ifdef BOOST_RATIO_EXTENSIONS
#include <boost/mpl/int.hpp>
namespace boost {
namespace mpl {
struct rational_c_tag : int_<10> {};
}
}
#endif // BOOST_RATIO_EXTENSIONS
#endif // BOOST_RATIO_MPL_RATIONAL_C_TAG_HPP

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// rational_constant.hpp ---------------------------------------------------------------//
// Copyright 2011 Vicente J. Botet Escriba
// Distributed under the Boost Software License, Version 1.0.
// See http://www.boost.org/LICENSE_1_0.txt
#ifndef BOOST_RATIO_MPL_RATIONAL_CONSTANT_HPP
#define BOOST_RATIO_MPL_RATIONAL_CONSTANT_HPP
#include <boost/ratio/mpl/rational_c_tag.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/ratio/mpl/arithmetic.hpp>
#include <boost/ratio/mpl/comparison.hpp>
#endif // BOOST_RATIO_HPP

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// sign.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_SIGN_HPP
#define BOOST_RATIO_MPL_SIGN_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/ratio/detail/mpl/sign.hpp>
namespace boost {
namespace mpl {
template<>
struct sign_impl< rational_c_tag >
{
template< typename R > struct apply
: ratio_sign<R>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_SIGN_HPP

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// times.hpp
//
// (C) Copyright 2011 Vicente J. Botet Escriba
// 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_RATIO_MPL_TIMES_HPP
#define BOOST_RATIO_MPL_TIMES_HPP
#include <boost/ratio/ratio.hpp>
#include <boost/ratio/mpl/numeric_cast.hpp>
#include <boost/mpl/times.hpp>
namespace boost {
namespace mpl {
template<>
struct times_impl< rational_c_tag,rational_c_tag >
{
template< typename R1, typename R2 > struct apply
: ratio_multiply<R1, R2>
{
};
};
}
}
#endif // BOOST_RATIO_MPL_TIMES_HPP

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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

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@@ -0,0 +1,109 @@
// ratio_fwd.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_FWD_HPP
#define BOOST_RATIO_RATIO_FWD_HPP
#include <boost/ratio/config.hpp>
#if defined(__GNUC__) && (__GNUC__ >= 4)
#pragma GCC system_header
#endif
namespace boost
{
//----------------------------------------------------------------------------//
// //
// 20.6 Compile-time rational arithmetic [ratio] //
// //
//----------------------------------------------------------------------------//
// ratio
template <boost::intmax_t N, boost::intmax_t D = 1> class ratio;
// ratio arithmetic
template <class R1, class R2> struct ratio_add;
template <class R1, class R2> struct ratio_subtract;
template <class R1, class R2> struct ratio_multiply;
template <class R1, class R2> struct ratio_divide;
#ifdef BOOST_RATIO_EXTENSIONS
template <class R1, class R2> struct ratio_gcd;
template <class R1, class R2> struct ratio_lcm;
template <class R> struct ratio_negate;
template <class R> struct ratio_abs;
template <class R> struct ratio_sign;
template <class R, int P> struct ratio_power;
#endif
// ratio comparison
template <class R1, class R2> struct ratio_equal;
template <class R1, class R2> struct ratio_not_equal;
template <class R1, class R2> struct ratio_less;
template <class R1, class R2> struct ratio_less_equal;
template <class R1, class R2> struct ratio_greater;
template <class R1, class R2> struct ratio_greater_equal;
// convenience SI typedefs
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000000000000)> atto;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000000000)> femto;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000000)> pico;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000000)> nano;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000000)> micro;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(1000)> milli;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(100)> centi;
typedef ratio<BOOST_RATIO_INTMAX_C(1), BOOST_RATIO_INTMAX_C(10)> deci;
typedef ratio< BOOST_RATIO_INTMAX_C(10), BOOST_RATIO_INTMAX_C(1)> deca;
typedef ratio< BOOST_RATIO_INTMAX_C(100), BOOST_RATIO_INTMAX_C(1)> hecto;
typedef ratio< BOOST_RATIO_INTMAX_C(1000), BOOST_RATIO_INTMAX_C(1)> kilo;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000), BOOST_RATIO_INTMAX_C(1)> mega;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000000), BOOST_RATIO_INTMAX_C(1)> giga;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000000000), BOOST_RATIO_INTMAX_C(1)> tera;
typedef ratio< BOOST_RATIO_INTMAX_C(1000000000000000), BOOST_RATIO_INTMAX_C(1)> peta;
typedef ratio<BOOST_RATIO_INTMAX_C(1000000000000000000), BOOST_RATIO_INTMAX_C(1)> exa;
#ifdef BOOST_RATIO_EXTENSIONS
#define BOOST_RATIO_1024 BOOST_RATIO_INTMAX_C(1024)
// convenience IEC typedefs
typedef ratio< BOOST_RATIO_1024> kibi;
typedef ratio< BOOST_RATIO_1024*BOOST_RATIO_1024> mebi;
typedef ratio< BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024> gibi;
typedef ratio< BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024> tebi;
typedef ratio< BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024> pebi;
typedef ratio<BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024*BOOST_RATIO_1024> exbi;
#endif
} // namespace boost
#endif // BOOST_RATIO_HPP

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