429 lines
12 KiB
Plaintext
429 lines
12 KiB
Plaintext
// Boost.Units - A C++ library for zero-overhead dimensional analysis and
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// unit/quantity manipulation and conversion
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//
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// Copyright (C) 2003-2008 Matthias Christian Schabel
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// Copyright (C) 2007-2008 Steven Watanabe
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//
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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#ifndef BOOST_UNITS_HETEROGENEOUS_SYSTEM_HPP
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#define BOOST_UNITS_HETEROGENEOUS_SYSTEM_HPP
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/// \file
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/// \brief A heterogeneous system is a sorted list of base unit/exponent pairs.
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#include <boost/mpl/bool.hpp>
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#include <boost/mpl/plus.hpp>
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#include <boost/mpl/times.hpp>
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#include <boost/mpl/divides.hpp>
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#include <boost/mpl/negate.hpp>
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#include <boost/mpl/less.hpp>
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#include <boost/mpl/size.hpp>
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#include <boost/mpl/begin.hpp>
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#include <boost/mpl/next.hpp>
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#include <boost/mpl/deref.hpp>
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#include <boost/mpl/front.hpp>
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#include <boost/mpl/push_front.hpp>
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#include <boost/mpl/pop_front.hpp>
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#include <boost/mpl/assert.hpp>
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#include <boost/type_traits/is_same.hpp>
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#include <boost/units/config.hpp>
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#include <boost/units/static_rational.hpp>
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#include <boost/units/dimension.hpp>
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#include <boost/units/units_fwd.hpp>
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#include <boost/units/detail/push_front_if.hpp>
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#include <boost/units/detail/push_front_or_add.hpp>
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#include <boost/units/detail/linear_algebra.hpp>
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#include <boost/units/detail/unscale.hpp>
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namespace boost {
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namespace units {
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namespace detail {
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// A normal system is a sorted list of base units.
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// A heterogeneous system is a sorted list of base unit/exponent pairs.
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// As long as we don't need to convert heterogeneous systems
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// directly everything is cool.
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template<class T>
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struct is_zero : mpl::false_ {};
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template<>
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struct is_zero<static_rational<0> > : mpl::true_ {};
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} // namespace detail
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/// INTERNAL ONLY
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template<class L, class Dimensions, class Scale>
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struct heterogeneous_system_impl
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{
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typedef L type;
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typedef Dimensions dimensions;
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typedef Scale scale;
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};
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/// INTERNAL ONLY
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typedef dimensionless_type no_scale;
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/// A system that can represent any possible combination
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/// of units at the expense of not preserving information
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/// about how it was created. Do not create specializations
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/// of this template directly. Instead use @c reduce_unit and
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/// @c base_unit<...>::unit_type.
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template<class T>
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struct heterogeneous_system : T {};
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/// INTERNAL ONLY
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struct heterogeneous_system_dim_tag {};
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/// INTERNAL ONLY
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template<class Unit, class Exponent>
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struct heterogeneous_system_dim
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{
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typedef heterogeneous_system_dim_tag tag;
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typedef heterogeneous_system_dim type;
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typedef Unit tag_type;
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typedef Exponent value_type;
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};
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/// INTERNAL ONLY
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#define BOOST_UNITS_MAKE_HETEROGENEOUS_UNIT(BaseUnit, Dimensions) \
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boost::units::unit< \
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Dimensions, \
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boost::units::heterogeneous_system< \
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boost::units::heterogeneous_system_impl< \
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boost::units::list< \
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boost::units::heterogeneous_system_dim< \
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BaseUnit, \
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boost::units::static_rational<1> \
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>, \
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boost::units::dimensionless_type \
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>, \
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Dimensions, \
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boost::units::no_scale \
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> \
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> \
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>
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} // namespace units
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} // namespace boost
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#if BOOST_UNITS_HAS_BOOST_TYPEOF
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#include BOOST_TYPEOF_INCREMENT_REGISTRATION_GROUP()
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BOOST_TYPEOF_REGISTER_TEMPLATE(boost::units::heterogeneous_system_impl, (class)(class)(class))
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BOOST_TYPEOF_REGISTER_TEMPLATE(boost::units::heterogeneous_system, (class))
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BOOST_TYPEOF_REGISTER_TEMPLATE(boost::units::heterogeneous_system_dim, (class)(class))
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#endif
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namespace boost {
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namespace mpl {
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/// INTERNAL ONLY
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template<>
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struct less_impl<boost::units::heterogeneous_system_dim_tag, boost::units::heterogeneous_system_dim_tag>
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{
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template<class T0, class T1>
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struct apply : mpl::less<typename T0::tag_type, typename T1::tag_type> {};
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};
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}
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namespace units {
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namespace detail {
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template<class Unit1, class Exponent1>
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struct is_empty_dim<heterogeneous_system_dim<Unit1,Exponent1> > : detail::is_zero<Exponent1> {};
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} // namespace detail
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} // namespace units
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namespace mpl {
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/// INTERNAL ONLY
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template<>
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struct plus_impl<boost::units::heterogeneous_system_dim_tag, boost::units::heterogeneous_system_dim_tag>
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{
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template<class T0, class T1>
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struct apply
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{
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typedef boost::units::heterogeneous_system_dim<
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typename T0::tag_type,
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typename mpl::plus<typename T0::value_type,typename T1::value_type>::type
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> type;
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};
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};
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/// INTERNAL ONLY
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template<>
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struct times_impl<boost::units::heterogeneous_system_dim_tag, boost::units::detail::static_rational_tag>
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{
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template<class T0, class T1>
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struct apply
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{
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typedef boost::units::heterogeneous_system_dim<
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typename T0::tag_type,
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typename mpl::times<typename T0::value_type,T1>::type
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> type;
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};
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};
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/// INTERNAL ONLY
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template<>
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struct divides_impl<boost::units::heterogeneous_system_dim_tag, boost::units::detail::static_rational_tag>
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{
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template<class T0, class T1>
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struct apply
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{
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typedef boost::units::heterogeneous_system_dim<
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typename T0::tag_type,
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typename mpl::divides<typename T0::value_type,T1>::type
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> type;
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};
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};
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/// INTERNAL ONLY
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template<>
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struct negate_impl<boost::units::heterogeneous_system_dim_tag>
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{
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template<class T>
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struct apply
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{
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typedef boost::units::heterogeneous_system_dim<typename T::tag_type, typename mpl::negate<typename T::value_type>::type> type;
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};
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};
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} // namespace mpl
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namespace units {
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namespace detail {
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template<int N>
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struct make_heterogeneous_system_impl
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{
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template<class UnitsBegin, class ExponentsBegin>
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struct apply
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{
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typedef typename push_front_if<!(is_zero<typename ExponentsBegin::item>::value)>::template apply<
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typename make_heterogeneous_system_impl<N-1>::template apply<
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typename UnitsBegin::next,
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typename ExponentsBegin::next
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>::type,
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heterogeneous_system_dim<typename UnitsBegin::item, typename ExponentsBegin::item>
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>::type type;
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};
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};
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template<>
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struct make_heterogeneous_system_impl<0>
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{
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template<class UnitsBegin, class ExponentsBegin>
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struct apply
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{
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typedef dimensionless_type type;
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};
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};
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template<class Dimensions, class System>
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struct make_heterogeneous_system
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{
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typedef typename calculate_base_unit_exponents<typename System::type, Dimensions>::type exponents;
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BOOST_MPL_ASSERT_MSG((!boost::is_same<exponents, inconsistent>::value), the_specified_dimension_is_not_representible_in_the_given_system, (types<Dimensions, System>));
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typedef typename make_heterogeneous_system_impl<System::type::size::value>::template apply<
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typename System::type,
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exponents
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>::type unit_list;
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typedef heterogeneous_system<heterogeneous_system_impl<unit_list, Dimensions, no_scale> > type;
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};
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template<class Dimensions, class T>
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struct make_heterogeneous_system<Dimensions, heterogeneous_system<T> >
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{
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typedef heterogeneous_system<T> type;
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};
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template<class T0, class T1>
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struct multiply_systems
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{
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typedef heterogeneous_system<
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heterogeneous_system_impl<
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typename mpl::times<typename T0::type, typename T1::type>::type,
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typename mpl::times<typename T0::dimensions, typename T1::dimensions>::type,
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typename mpl::times<typename T0::scale, typename T1::scale>::type
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>
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> type;
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};
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template<class T0, class T1>
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struct divide_systems
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{
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typedef heterogeneous_system<
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heterogeneous_system_impl<
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typename mpl::divides<typename T0::type, typename T1::type>::type,
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typename mpl::divides<typename T0::dimensions, typename T1::dimensions>::type,
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typename mpl::divides<typename T0::scale, typename T1::scale>::type
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>
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> type;
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};
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} // namespace detail
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/// INTERNAL ONLY
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template<class S, long N, long D>
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struct static_power<heterogeneous_system<S>, static_rational<N,D> >
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{
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typedef heterogeneous_system<
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heterogeneous_system_impl<
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typename static_power<typename S::type, static_rational<N,D> >::type,
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typename static_power<typename S::dimensions, static_rational<N,D> >::type,
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typename static_power<typename S::scale, static_rational<N,D> >::type
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>
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> type;
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};
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/// INTERNAL ONLY
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template<class S, long N, long D>
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struct static_root<heterogeneous_system<S>, static_rational<N,D> >
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{
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typedef heterogeneous_system<
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heterogeneous_system_impl<
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typename static_root<typename S::type, static_rational<N,D> >::type,
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typename static_root<typename S::dimensions, static_rational<N,D> >::type,
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typename static_root<typename S::scale, static_rational<N,D> >::type
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>
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> type;
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};
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namespace detail {
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template<int N>
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struct unscale_heterogeneous_system_impl
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{
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template<class Begin>
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struct apply
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{
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typedef typename push_front_or_add<
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typename unscale_heterogeneous_system_impl<N-1>::template apply<
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typename Begin::next
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>::type,
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typename unscale<typename Begin::item>::type
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>::type type;
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};
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};
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template<>
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struct unscale_heterogeneous_system_impl<0>
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{
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template<class Begin>
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struct apply
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{
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typedef dimensionless_type type;
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};
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};
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} // namespace detail
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/// Unscale all the base units. e.g
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/// km s -> m s
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/// cm km -> m^2
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/// INTERNAL ONLY
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template<class T>
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struct unscale<heterogeneous_system<T> >
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{
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typedef heterogeneous_system<
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heterogeneous_system_impl<
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typename detail::unscale_heterogeneous_system_impl<
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T::type::size::value
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>::template apply<
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typename T::type
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>::type,
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typename T::dimensions,
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no_scale
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>
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> type;
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};
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/// INTERNAL ONLY
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template<class Unit, class Exponent>
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struct unscale<heterogeneous_system_dim<Unit, Exponent> >
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{
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typedef heterogeneous_system_dim<typename unscale<Unit>::type, Exponent> type;
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};
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namespace detail {
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template<int N>
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struct get_scale_list_of_heterogeneous_system_impl
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{
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template<class Begin>
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struct apply
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{
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typedef typename mpl::times<
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typename get_scale_list_of_heterogeneous_system_impl<N-1>::template apply<
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typename Begin::next
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>::type,
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typename get_scale_list<typename Begin::item>::type
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>::type type;
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};
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};
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template<>
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struct get_scale_list_of_heterogeneous_system_impl<0>
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{
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template<class Begin>
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struct apply
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{
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typedef dimensionless_type type;
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};
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};
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} // namespace detail
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/// INTERNAL ONLY
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template<class T>
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struct get_scale_list<heterogeneous_system<T> >
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{
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typedef typename mpl::times<
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typename detail::get_scale_list_of_heterogeneous_system_impl<
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T::type::size::value
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>::template apply<typename T::type>::type,
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typename T::scale
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>::type type;
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};
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/// INTERNAL ONLY
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template<class Unit, class Exponent>
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struct get_scale_list<heterogeneous_system_dim<Unit, Exponent> >
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{
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typedef typename static_power<typename get_scale_list<Unit>::type, Exponent>::type type;
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};
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namespace detail {
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template<class System, class Dimension>
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struct check_system : mpl::false_ {};
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template<class System, class Dimension, class Scale>
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struct check_system<heterogeneous_system<heterogeneous_system_impl<System, Dimension, Scale> >, Dimension> : mpl::true_ {};
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} // namespace detail
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} // namespace units
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} // namespace boost
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#endif
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