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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