heterogeneous_conversion.hpp

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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) 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_DETAIL_HETEROGENEOUS_CONVERSION_HPP#define BOOST_UNITS_DETAIL_HETEROGENEOUS_CONVERSION_HPP#include <boost/mpl/minus.hpp>#include <boost/mpl/times.hpp>#include <boost/units/static_rational.hpp>#include <boost/units/homogeneous_system.hpp>#include <boost/units/detail/linear_algebra.hpp>namespace boost {namespace units {namespace detail {struct solve_end {    template<class Begin, class Y>    struct apply {        typedef dimensionless_type type;    };};struct no_solution {};template<class X1, class X2, class Next>struct solve_normal {    template<class Begin, class Y>    struct apply {        typedef typename Begin::next next;        typedef list<            typename mpl::minus<                typename mpl::times<X1, Y>::type,                typename mpl::times<X2, typename Begin::item>::type            >::type,            typename Next::template apply<next, Y>::type        > type;    };};template<class Next>struct solve_leading_zeroes {    template<class Begin>    struct apply {        typedef list<            typename Begin::item,            typename Next::template apply<typename Begin::next>::type        > type;    };    typedef solve_leading_zeroes type;};template<>struct solve_leading_zeroes<no_solution> {    typedef no_solution type;};template<class Next>struct solve_first_non_zero {    template<class Begin>    struct apply {        typedef typename Next::template apply<            typename Begin::next,            typename Begin::item        >::type type;    };};template<class Next>struct solve_internal_zero {    template<class Begin, class Y>    struct apply {        typedef list<            typename Begin::item,            typename Next::template apply<typename Begin::next, Y>::type        > type;    };};template<class T>struct make_solve_list_internal_zero {    template<class Next, class X>    struct apply {        typedef solve_normal<X, T, Next> type;    };};template<>struct make_solve_list_internal_zero<static_rational<0> > {    template<class Next, class X>    struct apply {        typedef solve_internal_zero<Next> type;    };};template<int N>struct make_solve_list_normal {    template<class Begin, class X>    struct apply {        typedef typename make_solve_list_internal_zero<            typename Begin::item        >::template apply<            typename make_solve_list_normal<N-1>::template apply<typename Begin::next, X>::type,            X        >::type type;    };};template<>struct make_solve_list_normal<0> {    template<class Begin, class X>    struct apply {        typedef solve_end type;    };};template<int N>struct make_solve_list_leading_zeroes;template<class T>struct make_solve_list_first_non_zero {    template<class Begin, int N>    struct apply {        typedef solve_first_non_zero<            typename make_solve_list_normal<N-1>::template apply<                typename Begin::next,                typename Begin::item            >::type        > type;    };};template<>struct make_solve_list_first_non_zero<static_rational<0> > {    template<class Begin, int N>    struct apply {        typedef typename solve_leading_zeroes<            typename make_solve_list_leading_zeroes<N-1>::template apply<                typename Begin::next            >::type        >::type type;    };};template<int N>struct make_solve_list_leading_zeroes {    template<class Begin>    struct apply {        typedef typename make_solve_list_first_non_zero<typename Begin::item>::template apply<Begin, N>::type type;    };};template<>struct make_solve_list_leading_zeroes<0> {    template<class Begin>    struct apply {        typedef no_solution type;    };};template<int N>struct try_add_unit_impl {    template<class Begin, class L>    struct apply {        typedef typename try_add_unit_impl<N-1>::template apply<typename Begin::next, L>::type next;        typedef typename Begin::item::template apply<next>::type type;        BOOST_STATIC_ASSERT((next::size::value - 1 == type::size::value));    };};template<>struct try_add_unit_impl<0> {    template<class Begin, class L>    struct apply {        typedef L type;    };};template<int N>struct make_homogeneous_system_impl;template<class T, bool is_done>struct make_homogeneous_system_func;template<class T>struct make_homogeneous_system_func<T, false> {    template<class Begin, class Current, class Units, class Dimensions, int N>    struct apply {        typedef typename make_homogeneous_system_impl<N-1>::template apply<            typename Begin::next,            list<T, Current>,            list<typename Begin::item, Units>,            Dimensions        >::type type;    };};template<class T>struct make_homogeneous_system_func<T, true> {    template<class Begin, class Current, class Units, class Dimensions, int N>    struct apply {        typedef list<typename Begin::item, Units> type;    };};template<>struct make_homogeneous_system_func<no_solution, false> {    template<class Begin, class Current, class Units, class Dimensions, int N>    struct apply {        typedef typename make_homogeneous_system_impl<N-1>::template apply<            typename Begin::next,            Current,            Units,            Dimensions        >::type type;    };};template<>struct make_homogeneous_system_func<no_solution, true> {    template<class Begin, class Current, class Units, class Dimensions, int N>    struct apply {        typedef typename make_homogeneous_system_impl<N-1>::template apply<            typename Begin::next,            Current,            Units,            Dimensions        >::type type;    };};template<int N>struct make_homogeneous_system_impl {    template<class Begin, class Current, class Units, class Dimensions>    struct apply {        typedef typename expand_dimensions<Dimensions::size::value>::template apply<            Dimensions,            typename Begin::item::dimension_type        >::type dimensions;        typedef typename try_add_unit_impl<Current::size::value>::template apply<Current, dimensions>::type new_element;        typedef typename make_solve_list_leading_zeroes<new_element::size::value>::template apply<new_element>::type new_func;        typedef typename make_homogeneous_system_func<            new_func,            ((Current::size::value)+1) == (Dimensions::size::value)        >::template apply<Begin, Current, Units, Dimensions, N>::type type;    };};template<>struct make_homogeneous_system_impl<0> {    template<class Begin, class Current, class Units, class Dimensions>    struct apply {        typedef Units type;    };};template<class Units>struct make_homogeneous_system {    typedef typename find_base_dimensions<Units>::type base_dimensions;    typedef homogeneous_system<        typename insertion_sort<            typename make_homogeneous_system_impl<                Units::size::value            >::template apply<                Units,                dimensionless_type,                dimensionless_type,                base_dimensions            >::type        >::type    > type;};template<int N>struct extract_base_units {    template<class Begin, class T>    struct apply {        typedef list<            typename Begin::item::tag_type,            typename extract_base_units<N-1>::template apply<typename Begin::next, T>::type        > type;    };};template<>struct extract_base_units<0> {    template<class Begin, class T>    struct apply {        typedef T type;    };};}}}#endif

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