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// Boost.Units - A C++ library for zero-overhead dimensional analysis and
// unit/quantity manipulation and conversion
//
// Copyright (C) 2003-2008 Matthias Christian Schabel
// Copyright (C) 2007-2008 Steven Watanabe
//
// 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)
#ifndef BOOST_UNITS_HETEROGENEOUS_SYSTEM_HPP
#define BOOST_UNITS_HETEROGENEOUS_SYSTEM_HPP
/// \file
/// \brief A heterogeneous system is a sorted list of base unit/exponent pairs.
#include <boost/mpl/bool.hpp>
#include <boost/mpl/plus.hpp>
#include <boost/mpl/times.hpp>
#include <boost/mpl/divides.hpp>
#include <boost/mpl/negate.hpp>
#include <boost/mpl/less.hpp>
#include <boost/mpl/size.hpp>
#include <boost/mpl/begin.hpp>
#include <boost/mpl/next.hpp>
#include <boost/mpl/deref.hpp>
#include <boost/mpl/front.hpp>
#include <boost/mpl/push_front.hpp>
#include <boost/mpl/pop_front.hpp>
#include <boost/mpl/assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/units/config.hpp>
#include <boost/units/static_rational.hpp>
#include <boost/units/dimension.hpp>
#include <boost/units/units_fwd.hpp>
#include <boost/units/detail/push_front_if.hpp>
#include <boost/units/detail/push_front_or_add.hpp>
#include <boost/units/detail/linear_algebra.hpp>
#include <boost/units/detail/unscale.hpp>
namespace boost {
namespace units {
namespace detail {
// A normal system is a sorted list of base units.
// A heterogeneous system is a sorted list of base unit/exponent pairs.
// As long as we don't need to convert heterogeneous systems
// directly everything is cool.
template<class T>
struct is_zero : mpl::false_ {};
template<>
struct is_zero<static_rational<0> > : mpl::true_ {};
} // namespace detail
/// INTERNAL ONLY
template<class L, class Dimensions, class Scale>
struct heterogeneous_system_impl
{
typedef L type;
typedef Dimensions dimensions;
typedef Scale scale;
};
/// INTERNAL ONLY
typedef dimensionless_type no_scale;
/// A system that can represent any possible combination
/// of units at the expense of not preserving information
/// about how it was created. Do not create specializations
/// of this template directly. Instead use @c reduce_unit and
/// @c base_unit<...>::unit_type.
template<class T>
struct heterogeneous_system : T {};
/// INTERNAL ONLY
struct heterogeneous_system_dim_tag {};
/// INTERNAL ONLY
template<class Unit, class Exponent>
struct heterogeneous_system_dim
{
typedef heterogeneous_system_dim_tag tag;
typedef heterogeneous_system_dim type;
typedef Unit tag_type;
typedef Exponent value_type;
};
/// INTERNAL ONLY
#define BOOST_UNITS_MAKE_HETEROGENEOUS_UNIT(BaseUnit, Dimensions) \
boost::units::unit< \
Dimensions, \
boost::units::heterogeneous_system< \
boost::units::heterogeneous_system_impl< \
boost::units::list< \
boost::units::heterogeneous_system_dim< \
BaseUnit, \
boost::units::static_rational<1> \
>, \
boost::units::dimensionless_type \
>, \
Dimensions, \
boost::units::no_scale \
> \
> \
>
} // namespace units
} // namespace boost
#if BOOST_UNITS_HAS_BOOST_TYPEOF
#include BOOST_TYPEOF_INCREMENT_REGISTRATION_GROUP()
BOOST_TYPEOF_REGISTER_TEMPLATE(boost::units::heterogeneous_system_impl, (class)(class)(class))
BOOST_TYPEOF_REGISTER_TEMPLATE(boost::units::heterogeneous_system, (class))
BOOST_TYPEOF_REGISTER_TEMPLATE(boost::units::heterogeneous_system_dim, (class)(class))
#endif
namespace boost {
namespace mpl {
/// INTERNAL ONLY
template<>
struct less_impl<boost::units::heterogeneous_system_dim_tag, boost::units::heterogeneous_system_dim_tag>
{
template<class T0, class T1>
struct apply : mpl::less<typename T0::tag_type, typename T1::tag_type> {};
};
}
namespace units {
namespace detail {
template<class Unit1, class Exponent1>
struct is_empty_dim<heterogeneous_system_dim<Unit1,Exponent1> > : detail::is_zero<Exponent1> {};
} // namespace detail
} // namespace units
namespace mpl {
/// INTERNAL ONLY
template<>
struct plus_impl<boost::units::heterogeneous_system_dim_tag, boost::units::heterogeneous_system_dim_tag>
{
template<class T0, class T1>
struct apply
{
typedef boost::units::heterogeneous_system_dim<
typename T0::tag_type,
typename mpl::plus<typename T0::value_type,typename T1::value_type>::type
> type;
};
};
/// INTERNAL ONLY
template<>
struct times_impl<boost::units::heterogeneous_system_dim_tag, boost::units::detail::static_rational_tag>
{
template<class T0, class T1>
struct apply
{
typedef boost::units::heterogeneous_system_dim<
typename T0::tag_type,
typename mpl::times<typename T0::value_type,T1>::type
> type;
};
};
/// INTERNAL ONLY
template<>
struct divides_impl<boost::units::heterogeneous_system_dim_tag, boost::units::detail::static_rational_tag>
{
template<class T0, class T1>
struct apply
{
typedef boost::units::heterogeneous_system_dim<
typename T0::tag_type,
typename mpl::divides<typename T0::value_type,T1>::type
> type;
};
};
/// INTERNAL ONLY
template<>
struct negate_impl<boost::units::heterogeneous_system_dim_tag>
{
template<class T>
struct apply
{
typedef boost::units::heterogeneous_system_dim<typename T::tag_type, typename mpl::negate<typename T::value_type>::type> type;
};
};
} // namespace mpl
namespace units {
namespace detail {
template<int N>
struct make_heterogeneous_system_impl
{
template<class UnitsBegin, class ExponentsBegin>
struct apply
{
typedef typename push_front_if<!(is_zero<typename ExponentsBegin::item>::value)>::template apply<
typename make_heterogeneous_system_impl<N-1>::template apply<
typename UnitsBegin::next,
typename ExponentsBegin::next
>::type,
heterogeneous_system_dim<typename UnitsBegin::item, typename ExponentsBegin::item>
>::type type;
};
};
template<>
struct make_heterogeneous_system_impl<0>
{
template<class UnitsBegin, class ExponentsBegin>
struct apply
{
typedef dimensionless_type type;
};
};
template<class Dimensions, class System>
struct make_heterogeneous_system
{
typedef typename calculate_base_unit_exponents<typename System::type, Dimensions>::type exponents;
BOOST_MPL_ASSERT_MSG((!boost::is_same<exponents, inconsistent>::value), the_specified_dimension_is_not_representible_in_the_given_system, (types<Dimensions, System>));
typedef typename make_heterogeneous_system_impl<System::type::size::value>::template apply<
typename System::type,
exponents
>::type unit_list;
typedef heterogeneous_system<heterogeneous_system_impl<unit_list, Dimensions, no_scale> > type;
};
template<class Dimensions, class T>
struct make_heterogeneous_system<Dimensions, heterogeneous_system<T> >
{
typedef heterogeneous_system<T> type;
};
template<class T0, class T1>
struct multiply_systems
{
typedef heterogeneous_system<
heterogeneous_system_impl<
typename mpl::times<typename T0::type, typename T1::type>::type,
typename mpl::times<typename T0::dimensions, typename T1::dimensions>::type,
typename mpl::times<typename T0::scale, typename T1::scale>::type
>
> type;
};
template<class T0, class T1>
struct divide_systems
{
typedef heterogeneous_system<
heterogeneous_system_impl<
typename mpl::divides<typename T0::type, typename T1::type>::type,
typename mpl::divides<typename T0::dimensions, typename T1::dimensions>::type,
typename mpl::divides<typename T0::scale, typename T1::scale>::type
>
> type;
};
} // namespace detail
/// INTERNAL ONLY
template<class S, long N, long D>
struct static_power<heterogeneous_system<S>, static_rational<N,D> >
{
typedef heterogeneous_system<
heterogeneous_system_impl<
typename static_power<typename S::type, static_rational<N,D> >::type,
typename static_power<typename S::dimensions, static_rational<N,D> >::type,
typename static_power<typename S::scale, static_rational<N,D> >::type
>
> type;
};
/// INTERNAL ONLY
template<class S, long N, long D>
struct static_root<heterogeneous_system<S>, static_rational<N,D> >
{
typedef heterogeneous_system<
heterogeneous_system_impl<
typename static_root<typename S::type, static_rational<N,D> >::type,
typename static_root<typename S::dimensions, static_rational<N,D> >::type,
typename static_root<typename S::scale, static_rational<N,D> >::type
>
> type;
};
namespace detail {
template<int N>
struct unscale_heterogeneous_system_impl
{
template<class Begin>
struct apply
{
typedef typename push_front_or_add<
typename unscale_heterogeneous_system_impl<N-1>::template apply<
typename Begin::next
>::type,
typename unscale<typename Begin::item>::type
>::type type;
};
};
template<>
struct unscale_heterogeneous_system_impl<0>
{
template<class Begin>
struct apply
{
typedef dimensionless_type type;
};
};
} // namespace detail
/// Unscale all the base units. e.g
/// km s -> m s
/// cm km -> m^2
/// INTERNAL ONLY
template<class T>
struct unscale<heterogeneous_system<T> >
{
typedef heterogeneous_system<
heterogeneous_system_impl<
typename detail::unscale_heterogeneous_system_impl<
T::type::size::value
>::template apply<
typename T::type
>::type,
typename T::dimensions,
no_scale
>
> type;
};
/// INTERNAL ONLY
template<class Unit, class Exponent>
struct unscale<heterogeneous_system_dim<Unit, Exponent> >
{
typedef heterogeneous_system_dim<typename unscale<Unit>::type, Exponent> type;
};
namespace detail {
template<int N>
struct get_scale_list_of_heterogeneous_system_impl
{
template<class Begin>
struct apply
{
typedef typename mpl::times<
typename get_scale_list_of_heterogeneous_system_impl<N-1>::template apply<
typename Begin::next
>::type,
typename get_scale_list<typename Begin::item>::type
>::type type;
};
};
template<>
struct get_scale_list_of_heterogeneous_system_impl<0>
{
template<class Begin>
struct apply
{
typedef dimensionless_type type;
};
};
} // namespace detail
/// INTERNAL ONLY
template<class T>
struct get_scale_list<heterogeneous_system<T> >
{
typedef typename mpl::times<
typename detail::get_scale_list_of_heterogeneous_system_impl<
T::type::size::value
>::template apply<typename T::type>::type,
typename T::scale
>::type type;
};
/// INTERNAL ONLY
template<class Unit, class Exponent>
struct get_scale_list<heterogeneous_system_dim<Unit, Exponent> >
{
typedef typename static_power<typename get_scale_list<Unit>::type, Exponent>::type type;
};
namespace detail {
template<class System, class Dimension>
struct check_system : mpl::false_ {};
template<class System, class Dimension, class Scale>
struct check_system<heterogeneous_system<heterogeneous_system_impl<System, Dimension, Scale> >, Dimension> : mpl::true_ {};
} // namespace detail
} // namespace units
} // namespace boost
#endif
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