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Filename : lcm.hpp
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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