#define BOOST_PARAMETER_MAX_ARITY 15

#include <boost/parameter.hpp>
#include <boost/mpl/list.hpp>
#include <boost/mpl/contains.hpp>

//
// Define macros for our default policies, if they're not defined already:
//
#ifndef BOOST_MATH_DOMAIN_ERROR_POLICY
#define BOOST_MATH_DOMAIN_ERROR_POLICY throw_on_error
#endif
#ifndef BOOST_MATH_POLE_ERROR_POLICY
#define BOOST_MATH_POLE_ERROR_POLICY throw_on_error
#endif
#ifndef BOOST_MATH_OVERFLOW_ERROR_POLICY
#define BOOST_MATH_OVERFLOW_ERROR_POLICY throw_on_error
#endif
#ifndef BOOST_MATH_EVALUATION_ERROR_POLICY
#define BOOST_MATH_EVALUATION_ERROR_POLICY throw_on_error
#endif
#ifndef BOOST_MATH_UNDERFLOW_ERROR_POLICY
#define BOOST_MATH_UNDERFLOW_ERROR_POLICY ignor_error
#endif
#ifndef BOOST_MATH_DENORM_ERROR_POLICY
#define BOOST_MATH_DENORM_ERROR_POLICY ignor_error
#endif
#ifndef BOOST_MATH_DIGITS10_POLICY
#define BOOST_MATH_DIGITS10_POLICY -1
#endif
#ifndef BOOST_MATH_PROMOTE_FLOAT_POLICY
#define BOOST_MATH_PROMOTE_FLOAT_POLICY true
#endif
#ifndef BOOST_MATH_PROMOTE_DOUBLE_POLICY
#define BOOST_MATH_PROMOTE_DOUBLE_POLICY true
#endif
#ifndef BOOST_MATH_DISCRETE_QUANTILE_POLICY
#define BOOST_MATH_DISCRETE_QUANTILE_POLICY integer_outside
#endif

struct any_convertable
{
   template <class T>
   any_convertable(const T&);
};


#define BOOST_MATH_META_INT(type, name)\
   template <type N> struct name : public boost::mpl::int_<N>{};\
   namespace detail{\
   template <class T> struct is_##name##_imp\
   {\
      template <type N> static char test(const name<N>&);\
      static double test(any_convertable);\
      BOOST_STATIC_CONSTANT(bool, value = sizeof(test(T())) == 1);\
   };\
   }\
   template <class T> struct is_##name : public boost::mpl::bool_< ::detail::is_##name##_imp<T>::value>{};

#define BOOST_MATH_META_BOOL(name)\
   template <bool N> struct name : public boost::mpl::bool_<N>{};\
   namespace detail{\
   template <class T> struct is_##name##_imp\
   {\
      template <bool N> static char test(const name<N>&);\
      static double test(any_convertable);\
      BOOST_STATIC_CONSTANT(bool, value = sizeof(test(T())) == 1);\
   };\
   }\
   template <class T> struct is_##name : public boost::mpl::bool_< ::detail::is_##name##_imp<T>::value>{};

//
// Begin by defining policy types for error handling:
//
enum error_policy_type
{
   throw_on_error = 0,
   errno_on_error = 1,
   ignor_error = 2,
   user_error = 3
};

BOOST_MATH_META_INT(error_policy_type, domain_error)
BOOST_MATH_META_INT(error_policy_type, pole_error)
BOOST_MATH_META_INT(error_policy_type, overflow_error)
BOOST_MATH_META_INT(error_policy_type, underflow_error)
BOOST_MATH_META_INT(error_policy_type, denorm_error)
BOOST_MATH_META_INT(error_policy_type, evaluation_error)

//
// Policy types for internal promotion:
//
BOOST_MATH_META_BOOL(promote_float);
BOOST_MATH_META_BOOL(promote_double);
//
// Policy types for discrete quantiles:
//
enum discrete_quantile_policy_type
{
   real,
   integer_outside,
   integer_inside,
   integer_below,
   integer_above
};

BOOST_MATH_META_INT(discrete_quantile_policy_type, discrete_quantile);
//
// Precision:
//
BOOST_MATH_META_INT(int, digits10);
BOOST_MATH_META_INT(int, digits2);
//
// Define the names for each possible policy:
//
#define BOOST_MATH_PARAMETER(name)\
   BOOST_PARAMETER_TEMPLATE_KEYWORD(name##_name)\
   BOOST_PARAMETER_NAME(name##_name)
//
// Error handlers:
//
BOOST_MATH_PARAMETER(domain_error)
BOOST_MATH_PARAMETER(pole_error)
BOOST_MATH_PARAMETER(overflow_error)
BOOST_MATH_PARAMETER(underflow_error)
BOOST_MATH_PARAMETER(denorm_error)
BOOST_MATH_PARAMETER(evaluation_error)
//
// Precision:
//
BOOST_MATH_PARAMETER(digits10)
BOOST_MATH_PARAMETER(digits2)
//
// Internal promotion:
//
BOOST_MATH_PARAMETER(promote_float)
BOOST_MATH_PARAMETER(promote_double)
//
// Discrete quantile handling:
//
BOOST_MATH_PARAMETER(discrete_quantile)

namespace detail{
//
// Trait to work out bits precision from digits10 and digits2:
//
template <class Digits10, class Digits2>
struct precision
{
   //
   // Now work out the precision:
   //
   typedef digits2<((Digits10::value + 1) * 1000L) / 301L> digits2_type;
public:
#ifdef __BORLANDC__
   typedef typename boost::mpl::if_c<
      (Digits2::value > ::detail::precision<Digits10,Digits2>::digits2_type::value),
      Digits2, digits2_type>::type type;
#else
   typedef typename boost::mpl::if_c<
      (Digits2::value > digits2_type::value),
      Digits2, digits2_type>::type type;
#endif
};

}

//
// Define template signature complete with error checking of types:
//
using boost::mpl::_;
typedef boost::parameter::parameters<
   boost::parameter::optional<boost::parameter::deduced<tag::domain_error_name>, is_domain_error<boost::mpl::_> >
   , boost::parameter::optional<boost::parameter::deduced<tag::pole_error_name>, is_pole_error<boost::mpl::_> >
   , boost::parameter::optional<boost::parameter::deduced<tag::overflow_error_name>, is_overflow_error<boost::mpl::_> >
   , boost::parameter::optional<boost::parameter::deduced<tag::underflow_error_name>, is_underflow_error<boost::mpl::_> >
   , boost::parameter::optional<boost::parameter::deduced<tag::denorm_error_name>, is_denorm_error<boost::mpl::_> >
   , boost::parameter::optional<boost::parameter::deduced<tag::evaluation_error_name>, is_evaluation_error<boost::mpl::_> >
   , boost::parameter::optional<boost::parameter::deduced<tag::digits10_name>, is_digits10<boost::mpl::_> >
   , boost::parameter::optional<boost::parameter::deduced<tag::digits2_name>, is_digits2<boost::mpl::_> >
   , boost::parameter::optional<boost::parameter::deduced<tag::promote_float_name>, is_promote_float<boost::mpl::_> >
   , boost::parameter::optional<boost::parameter::deduced<tag::promote_double_name>, is_promote_double<boost::mpl::_> >
   , boost::parameter::optional<boost::parameter::deduced<tag::discrete_quantile_name>, is_discrete_quantile<boost::mpl::_> >
> policy_signature;

//
// Now define the policy type with enough arguments to handle all
// the policies:
//
template <class A1 = boost::parameter::void_, 
          class A2 = boost::parameter::void_, 
          class A3 = boost::parameter::void_,
          class A4 = boost::parameter::void_,
          class A5 = boost::parameter::void_,
          class A6 = boost::parameter::void_,
          class A7 = boost::parameter::void_,
          class A8 = boost::parameter::void_,
          class A9 = boost::parameter::void_,
          class A10 = boost::parameter::void_,
          class A11 = boost::parameter::void_>
struct policy
{
   typedef policy_signature::bind<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11, boost::parameter::void_, boost::parameter::void_, boost::parameter::void_, boost::parameter::void_> bound_type;
   typedef typename bound_type::type args;

   // This next line is the one that causes the problem:
   typedef typename boost::parameter::binding<
      args, tag::domain_error_name, domain_error<BOOST_MATH_DOMAIN_ERROR_POLICY> >::type domain_error_type;
   typedef typename boost::parameter::binding<
      args, tag::pole_error_name, pole_error<BOOST_MATH_POLE_ERROR_POLICY> >::type pole_error_type;
   typedef typename boost::parameter::binding<
      args, tag::overflow_error_name, overflow_error<BOOST_MATH_OVERFLOW_ERROR_POLICY> >::type overflow_error_type;
   typedef typename boost::parameter::binding<
      args, tag::underflow_error_name, underflow_error<BOOST_MATH_UNDERFLOW_ERROR_POLICY> >::type underflow_error_type;
   typedef typename boost::parameter::binding<
      args, tag::denorm_error_name, denorm_error<BOOST_MATH_DENORM_ERROR_POLICY> >::type denorm_error_type;
   typedef typename boost::parameter::binding<
      args, tag::evaluation_error_name, evaluation_error<BOOST_MATH_EVALUATION_ERROR_POLICY> >::type evaluation_error_type;
private:
   //
   // Now work out the precision:
   //
   typedef typename boost::parameter::binding<
      args, tag::digits10_name, digits10<BOOST_MATH_DIGITS10_POLICY> >::type digits10_type;
   typedef typename boost::parameter::binding<
      args, tag::digits2_name, digits2<-1> >::type bits_precision_type;
public:
   typedef typename detail::precision<digits10_type, bits_precision_type>::type precision_type;
   //
   // Internal promotion:
   //
   typedef typename boost::parameter::binding<
      args, tag::promote_float_name, boost::mpl::bool_<BOOST_MATH_PROMOTE_FLOAT_POLICY> >::type float_promote_type;
   typedef typename boost::parameter::binding<
      args, tag::promote_double_name, boost::mpl::bool_<BOOST_MATH_PROMOTE_DOUBLE_POLICY> >::type double_promote_type;
   //
   // Discrete quantiles:
   //
   typedef typename boost::parameter::binding<
      args, tag::discrete_quantile_name, discrete_quantile<BOOST_MATH_DISCRETE_QUANTILE_POLICY> >::type discrete_quantile_type;
};

// Instantiate a policy object:
policy<
   domain_error<throw_on_error>,
   pole_error<throw_on_error>,
   overflow_error<throw_on_error>,
   underflow_error<throw_on_error>,
   denorm_error<throw_on_error>,
   evaluation_error<throw_on_error> > throw_policy;