Chris@16: //  Copyright John Maddock 2007.
Chris@16: //  Use, modification and distribution are subject to the
Chris@16: //  Boost Software License, Version 1.0. (See accompanying file
Chris@16: //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
Chris@16: 
Chris@16: #ifndef BOOST_MATH_POLICY_HPP
Chris@16: #define BOOST_MATH_POLICY_HPP
Chris@16: 
Chris@16: #include <boost/mpl/list.hpp>
Chris@16: #include <boost/mpl/contains.hpp>
Chris@16: #include <boost/mpl/if.hpp>
Chris@16: #include <boost/mpl/find_if.hpp>
Chris@16: #include <boost/mpl/remove_if.hpp>
Chris@16: #include <boost/mpl/vector.hpp>
Chris@16: #include <boost/mpl/push_back.hpp>
Chris@16: #include <boost/mpl/at.hpp>
Chris@16: #include <boost/mpl/size.hpp>
Chris@16: #include <boost/mpl/comparison.hpp>
Chris@16: #include <boost/type_traits/is_same.hpp>
Chris@16: #include <boost/static_assert.hpp>
Chris@16: #include <boost/assert.hpp>
Chris@16: #include <boost/math/tools/config.hpp>
Chris@16: #include <limits>
Chris@16: // Sadly we do need the .h versions of these to be sure of getting
Chris@16: // FLT_MANT_DIG etc.
Chris@16: #include <limits.h>
Chris@16: #include <stdlib.h>
Chris@16: #include <stddef.h>
Chris@16: #include <math.h>
Chris@16: 
Chris@16: namespace boost{ namespace math{ 
Chris@16: 
Chris@16: namespace tools{
Chris@16: 
Chris@16: template <class T>
Chris@16: int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T));
Chris@16: template <class T>
Chris@16: T epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T));
Chris@16: 
Chris@16: }
Chris@16: 
Chris@16: namespace policies{
Chris@16: 
Chris@16: //
Chris@16: // Define macros for our default policies, if they're not defined already:
Chris@16: //
Chris@16: #ifndef BOOST_MATH_DOMAIN_ERROR_POLICY
Chris@16: #define BOOST_MATH_DOMAIN_ERROR_POLICY throw_on_error
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_POLE_ERROR_POLICY
Chris@16: #define BOOST_MATH_POLE_ERROR_POLICY throw_on_error
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_OVERFLOW_ERROR_POLICY
Chris@16: #define BOOST_MATH_OVERFLOW_ERROR_POLICY throw_on_error
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_EVALUATION_ERROR_POLICY
Chris@16: #define BOOST_MATH_EVALUATION_ERROR_POLICY throw_on_error
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_ROUNDING_ERROR_POLICY
Chris@16: #define BOOST_MATH_ROUNDING_ERROR_POLICY throw_on_error
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_UNDERFLOW_ERROR_POLICY
Chris@16: #define BOOST_MATH_UNDERFLOW_ERROR_POLICY ignore_error
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_DENORM_ERROR_POLICY
Chris@16: #define BOOST_MATH_DENORM_ERROR_POLICY ignore_error
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY
Chris@16: #define BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY ignore_error
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_DIGITS10_POLICY
Chris@16: #define BOOST_MATH_DIGITS10_POLICY 0
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_PROMOTE_FLOAT_POLICY
Chris@16: #define BOOST_MATH_PROMOTE_FLOAT_POLICY true
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_PROMOTE_DOUBLE_POLICY
Chris@16: #ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
Chris@16: #define BOOST_MATH_PROMOTE_DOUBLE_POLICY false
Chris@16: #else
Chris@16: #define BOOST_MATH_PROMOTE_DOUBLE_POLICY true
Chris@16: #endif
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_DISCRETE_QUANTILE_POLICY
Chris@16: #define BOOST_MATH_DISCRETE_QUANTILE_POLICY integer_round_outwards
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_ASSERT_UNDEFINED_POLICY
Chris@16: #define BOOST_MATH_ASSERT_UNDEFINED_POLICY true
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_MAX_SERIES_ITERATION_POLICY
Chris@16: #define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 1000000
Chris@16: #endif
Chris@16: #ifndef BOOST_MATH_MAX_ROOT_ITERATION_POLICY
Chris@16: #define BOOST_MATH_MAX_ROOT_ITERATION_POLICY 200
Chris@16: #endif
Chris@16: 
Chris@101: #if !defined(__BORLANDC__)
Chris@16: #define BOOST_MATH_META_INT(type, name, Default)\
Chris@16:    template <type N = Default> struct name : public boost::mpl::int_<N>{};\
Chris@16:    namespace detail{\
Chris@16:    template <type N>\
Chris@16:    char test_is_valid_arg(const name<N>*);\
Chris@16:    char test_is_default_arg(const name<Default>*);\
Chris@16:    template <class T> struct is_##name##_imp\
Chris@16:    {\
Chris@16:       template <type N> static char test(const name<N>*);\
Chris@16:       static double test(...);\
Chris@16:       BOOST_STATIC_CONSTANT(bool, value = sizeof(test(static_cast<T*>(0))) == 1);\
Chris@16:    };\
Chris@16:    }\
Chris@16:    template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>{};
Chris@16: 
Chris@16: #define BOOST_MATH_META_BOOL(name, Default)\
Chris@16:    template <bool N = Default> struct name : public boost::mpl::bool_<N>{};\
Chris@16:    namespace detail{\
Chris@16:    template <bool N>\
Chris@16:    char test_is_valid_arg(const name<N>*);\
Chris@16:    char test_is_default_arg(const name<Default>*);\
Chris@16:    template <class T> struct is_##name##_imp\
Chris@16:    {\
Chris@16:       template <bool N> static char test(const name<N>*);\
Chris@16:       static double test(...);\
Chris@16:       BOOST_STATIC_CONSTANT(bool, value = sizeof(test(static_cast<T*>(0))) == 1);\
Chris@16:    };\
Chris@16:    }\
Chris@16:    template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>{};
Chris@16: #else
Chris@16: #define BOOST_MATH_META_INT(Type, name, Default)\
Chris@16:    template <Type N = Default> struct name : public boost::mpl::int_<N>{};\
Chris@16:    namespace detail{\
Chris@16:    template <Type N>\
Chris@16:    char test_is_valid_arg(const name<N>*);\
Chris@16:    char test_is_default_arg(const name<Default>*);\
Chris@16:    template <class T> struct is_##name##_tester\
Chris@16:    {\
Chris@16:       template <Type N> static char test(const name<N>&);\
Chris@16:       static double test(...);\
Chris@16:    };\
Chris@16:    template <class T> struct is_##name##_imp\
Chris@16:    {\
Chris@16:       static T inst;\
Chris@16:       BOOST_STATIC_CONSTANT(bool, value = sizeof( ::boost::math::policies::detail::is_##name##_tester<T>::test(inst)) == 1);\
Chris@16:    };\
Chris@16:    }\
Chris@16:    template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>\
Chris@16:    {\
Chris@16:       template <class U> struct apply{ typedef is_##name<U> type; };\
Chris@16:    };
Chris@16: 
Chris@16: #define BOOST_MATH_META_BOOL(name, Default)\
Chris@16:    template <bool N = Default> struct name : public boost::mpl::bool_<N>{};\
Chris@16:    namespace detail{\
Chris@16:    template <bool N>\
Chris@16:    char test_is_valid_arg(const name<N>*);\
Chris@16:    char test_is_default_arg(const name<Default>*);\
Chris@16:    template <class T> struct is_##name##_tester\
Chris@16:    {\
Chris@16:       template <bool N> static char test(const name<N>&);\
Chris@16:       static double test(...);\
Chris@16:    };\
Chris@16:    template <class T> struct is_##name##_imp\
Chris@16:    {\
Chris@16:       static T inst;\
Chris@16:       BOOST_STATIC_CONSTANT(bool, value = sizeof( ::boost::math::policies::detail::is_##name##_tester<T>::test(inst)) == 1);\
Chris@16:    };\
Chris@16:    }\
Chris@16:    template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>\
Chris@16:    {\
Chris@16:       template <class U> struct apply{ typedef is_##name<U> type;  };\
Chris@16:    };
Chris@16: #endif
Chris@16: //
Chris@16: // Begin by defining policy types for error handling:
Chris@16: //
Chris@16: enum error_policy_type
Chris@16: {
Chris@16:    throw_on_error = 0,
Chris@16:    errno_on_error = 1,
Chris@16:    ignore_error = 2,
Chris@16:    user_error = 3
Chris@16: };
Chris@16: 
Chris@16: BOOST_MATH_META_INT(error_policy_type, domain_error, BOOST_MATH_DOMAIN_ERROR_POLICY)
Chris@16: BOOST_MATH_META_INT(error_policy_type, pole_error, BOOST_MATH_POLE_ERROR_POLICY)
Chris@16: BOOST_MATH_META_INT(error_policy_type, overflow_error, BOOST_MATH_OVERFLOW_ERROR_POLICY)
Chris@16: BOOST_MATH_META_INT(error_policy_type, underflow_error, BOOST_MATH_UNDERFLOW_ERROR_POLICY)
Chris@16: BOOST_MATH_META_INT(error_policy_type, denorm_error, BOOST_MATH_DENORM_ERROR_POLICY)
Chris@16: BOOST_MATH_META_INT(error_policy_type, evaluation_error, BOOST_MATH_EVALUATION_ERROR_POLICY)
Chris@16: BOOST_MATH_META_INT(error_policy_type, rounding_error, BOOST_MATH_ROUNDING_ERROR_POLICY)
Chris@16: BOOST_MATH_META_INT(error_policy_type, indeterminate_result_error, BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY)
Chris@16: 
Chris@16: //
Chris@16: // Policy types for internal promotion:
Chris@16: //
Chris@16: BOOST_MATH_META_BOOL(promote_float, BOOST_MATH_PROMOTE_FLOAT_POLICY)
Chris@16: BOOST_MATH_META_BOOL(promote_double, BOOST_MATH_PROMOTE_DOUBLE_POLICY)
Chris@16: BOOST_MATH_META_BOOL(assert_undefined, BOOST_MATH_ASSERT_UNDEFINED_POLICY)
Chris@16: //
Chris@16: // Policy types for discrete quantiles:
Chris@16: //
Chris@16: enum discrete_quantile_policy_type
Chris@16: {
Chris@16:    real,
Chris@16:    integer_round_outwards,
Chris@16:    integer_round_inwards,
Chris@16:    integer_round_down,
Chris@16:    integer_round_up,
Chris@16:    integer_round_nearest
Chris@16: };
Chris@16: 
Chris@16: BOOST_MATH_META_INT(discrete_quantile_policy_type, discrete_quantile, BOOST_MATH_DISCRETE_QUANTILE_POLICY)
Chris@16: //
Chris@16: // Precision:
Chris@16: //
Chris@16: BOOST_MATH_META_INT(int, digits10, BOOST_MATH_DIGITS10_POLICY)
Chris@16: BOOST_MATH_META_INT(int, digits2, 0)
Chris@16: //
Chris@16: // Iterations:
Chris@16: //
Chris@16: BOOST_MATH_META_INT(unsigned long, max_series_iterations, BOOST_MATH_MAX_SERIES_ITERATION_POLICY)
Chris@16: BOOST_MATH_META_INT(unsigned long, max_root_iterations, BOOST_MATH_MAX_ROOT_ITERATION_POLICY)
Chris@16: //
Chris@16: // Define the names for each possible policy:
Chris@16: //
Chris@16: #define BOOST_MATH_PARAMETER(name)\
Chris@16:    BOOST_PARAMETER_TEMPLATE_KEYWORD(name##_name)\
Chris@16:    BOOST_PARAMETER_NAME(name##_name)
Chris@16: 
Chris@16: struct default_policy{};
Chris@16: 
Chris@16: namespace detail{
Chris@16: //
Chris@16: // Trait to work out bits precision from digits10 and digits2:
Chris@16: //
Chris@16: template <class Digits10, class Digits2>
Chris@16: struct precision
Chris@16: {
Chris@16:    //
Chris@16:    // Now work out the precision:
Chris@16:    //
Chris@16:    typedef typename mpl::if_c<
Chris@16:       (Digits10::value == 0),
Chris@16:       digits2<0>,
Chris@16:       digits2<((Digits10::value + 1) * 1000L) / 301L>
Chris@16:    >::type digits2_type;
Chris@16: public:
Chris@16: #ifdef __BORLANDC__
Chris@16:    typedef typename mpl::if_c<
Chris@16:       (Digits2::value > ::boost::math::policies::detail::precision<Digits10,Digits2>::digits2_type::value),
Chris@16:       Digits2, digits2_type>::type type;
Chris@16: #else
Chris@16:    typedef typename mpl::if_c<
Chris@16:       (Digits2::value > digits2_type::value),
Chris@16:       Digits2, digits2_type>::type type;
Chris@16: #endif
Chris@16: };
Chris@16: 
Chris@16: template <class A, class B, bool b>
Chris@16: struct select_result
Chris@16: {
Chris@16:    typedef A type;
Chris@16: };
Chris@16: template <class A, class B>
Chris@16: struct select_result<A, B, false>
Chris@16: {
Chris@16:    typedef typename mpl::deref<B>::type type;
Chris@16: };
Chris@16: 
Chris@16: template <class Seq, class Pred, class DefaultType>
Chris@16: struct find_arg
Chris@16: {
Chris@16: private:
Chris@16:    typedef typename mpl::find_if<Seq, Pred>::type iter;
Chris@16:    typedef typename mpl::end<Seq>::type end_type;
Chris@16: public:
Chris@16:    typedef typename select_result<
Chris@16:       DefaultType, iter,
Chris@16:       ::boost::is_same<iter, end_type>::value>::type type;
Chris@16: };
Chris@16: 
Chris@16: double test_is_valid_arg(...);
Chris@16: double test_is_default_arg(...);
Chris@16: char test_is_valid_arg(const default_policy*);
Chris@16: char test_is_default_arg(const default_policy*);
Chris@16: 
Chris@16: template <class T>
Chris@16: struct is_valid_policy_imp 
Chris@16: {
Chris@16:    BOOST_STATIC_CONSTANT(bool, value = sizeof(::boost::math::policies::detail::test_is_valid_arg(static_cast<T*>(0))) == 1);
Chris@16: };
Chris@16: 
Chris@16: template <class T>
Chris@16: struct is_default_policy_imp
Chris@16: {
Chris@16:    BOOST_STATIC_CONSTANT(bool, value = sizeof(::boost::math::policies::detail::test_is_default_arg(static_cast<T*>(0))) == 1);
Chris@16: };
Chris@16: 
Chris@16: template <class T> struct is_valid_policy 
Chris@16: : public mpl::bool_< 
Chris@16:    ::boost::math::policies::detail::is_valid_policy_imp<T>::value>
Chris@16: {};
Chris@16: 
Chris@16: template <class T> struct is_default_policy 
Chris@16: : public mpl::bool_< 
Chris@16:    ::boost::math::policies::detail::is_default_policy_imp<T>::value>
Chris@16: {
Chris@16:    template <class U>
Chris@16:    struct apply
Chris@16:    {
Chris@16:       typedef is_default_policy<U> type;
Chris@16:    };
Chris@16: };
Chris@16: 
Chris@16: template <class Seq, class T, int N>
Chris@16: struct append_N
Chris@16: {
Chris@16:    typedef typename mpl::push_back<Seq, T>::type new_seq;
Chris@16:    typedef typename append_N<new_seq, T, N-1>::type type;
Chris@16: };
Chris@16: 
Chris@16: template <class Seq, class T>
Chris@16: struct append_N<Seq, T, 0>
Chris@16: {
Chris@16:    typedef Seq type;
Chris@16: };
Chris@16: 
Chris@16: //
Chris@16: // Traits class to work out what template parameters our default
Chris@16: // policy<> class will have when modified for forwarding:
Chris@16: //
Chris@16: template <bool f, bool d>
Chris@16: struct default_args
Chris@16: {
Chris@16:    typedef promote_float<false> arg1;
Chris@16:    typedef promote_double<false> arg2;
Chris@16: };
Chris@16: 
Chris@16: template <>
Chris@16: struct default_args<false, false>
Chris@16: {
Chris@16:    typedef default_policy arg1;
Chris@16:    typedef default_policy arg2;
Chris@16: };
Chris@16: 
Chris@16: template <>
Chris@16: struct default_args<true, false>
Chris@16: {
Chris@16:    typedef promote_float<false> arg1;
Chris@16:    typedef default_policy arg2;
Chris@16: };
Chris@16: 
Chris@16: template <>
Chris@16: struct default_args<false, true>
Chris@16: {
Chris@16:    typedef promote_double<false> arg1;
Chris@16:    typedef default_policy arg2;
Chris@16: };
Chris@16: 
Chris@16: typedef default_args<BOOST_MATH_PROMOTE_FLOAT_POLICY, BOOST_MATH_PROMOTE_DOUBLE_POLICY>::arg1 forwarding_arg1;
Chris@16: typedef default_args<BOOST_MATH_PROMOTE_FLOAT_POLICY, BOOST_MATH_PROMOTE_DOUBLE_POLICY>::arg2 forwarding_arg2;
Chris@16: 
Chris@16: } // detail
Chris@16: //
Chris@16: // Now define the policy type with enough arguments to handle all
Chris@16: // the policies:
Chris@16: //
Chris@16: template <class A1 = default_policy, 
Chris@16:           class A2 = default_policy, 
Chris@16:           class A3 = default_policy,
Chris@16:           class A4 = default_policy,
Chris@16:           class A5 = default_policy,
Chris@16:           class A6 = default_policy,
Chris@16:           class A7 = default_policy,
Chris@16:           class A8 = default_policy,
Chris@16:           class A9 = default_policy,
Chris@16:           class A10 = default_policy,
Chris@16:           class A11 = default_policy,
Chris@16:           class A12 = default_policy,
Chris@16:           class A13 = default_policy>
Chris@16: struct policy
Chris@16: {
Chris@16: private:
Chris@16:    //
Chris@16:    // Validate all our arguments:
Chris@16:    //
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A1>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A2>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A3>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A4>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A5>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A6>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A7>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A8>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A9>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A10>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A11>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A12>::value);
Chris@16:    BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A13>::value);
Chris@16:    //
Chris@16:    // Typelist of the arguments:
Chris@16:    //
Chris@16:    typedef mpl::list<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11,A12,A13> arg_list;
Chris@16: 
Chris@16: public:
Chris@16:    typedef typename detail::find_arg<arg_list, is_domain_error<mpl::_1>, domain_error<> >::type domain_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_pole_error<mpl::_1>, pole_error<> >::type pole_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_overflow_error<mpl::_1>, overflow_error<> >::type overflow_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_underflow_error<mpl::_1>, underflow_error<> >::type underflow_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_denorm_error<mpl::_1>, denorm_error<> >::type denorm_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_evaluation_error<mpl::_1>, evaluation_error<> >::type evaluation_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_rounding_error<mpl::_1>, rounding_error<> >::type rounding_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_indeterminate_result_error<mpl::_1>, indeterminate_result_error<> >::type indeterminate_result_error_type;
Chris@16: private:
Chris@16:    //
Chris@16:    // Now work out the precision:
Chris@16:    //
Chris@16:    typedef typename detail::find_arg<arg_list, is_digits10<mpl::_1>, digits10<> >::type digits10_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_digits2<mpl::_1>, digits2<> >::type bits_precision_type;
Chris@16: public:
Chris@16:    typedef typename detail::precision<digits10_type, bits_precision_type>::type precision_type;
Chris@16:    //
Chris@16:    // Internal promotion:
Chris@16:    //
Chris@16:    typedef typename detail::find_arg<arg_list, is_promote_float<mpl::_1>, promote_float<> >::type promote_float_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_promote_double<mpl::_1>, promote_double<> >::type promote_double_type;
Chris@16:    //
Chris@16:    // Discrete quantiles:
Chris@16:    //
Chris@16:    typedef typename detail::find_arg<arg_list, is_discrete_quantile<mpl::_1>, discrete_quantile<> >::type discrete_quantile_type;
Chris@16:    //
Chris@16:    // Mathematically undefined properties:
Chris@16:    //
Chris@16:    typedef typename detail::find_arg<arg_list, is_assert_undefined<mpl::_1>, assert_undefined<> >::type assert_undefined_type;
Chris@16:    //
Chris@16:    // Max iterations:
Chris@16:    //
Chris@16:    typedef typename detail::find_arg<arg_list, is_max_series_iterations<mpl::_1>, max_series_iterations<> >::type max_series_iterations_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_max_root_iterations<mpl::_1>, max_root_iterations<> >::type max_root_iterations_type;
Chris@16: };
Chris@16: //
Chris@16: // These full specializations are defined to reduce the amount of
Chris@16: // template instantiations that have to take place when using the default
Chris@16: // policies, they have quite a large impact on compile times:
Chris@16: //
Chris@16: template <>
Chris@16: struct policy<default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy>
Chris@16: {
Chris@16: public:
Chris@16:    typedef domain_error<> domain_error_type;
Chris@16:    typedef pole_error<> pole_error_type;
Chris@16:    typedef overflow_error<> overflow_error_type;
Chris@16:    typedef underflow_error<> underflow_error_type;
Chris@16:    typedef denorm_error<> denorm_error_type;
Chris@16:    typedef evaluation_error<> evaluation_error_type;
Chris@16:    typedef rounding_error<> rounding_error_type;
Chris@16:    typedef indeterminate_result_error<> indeterminate_result_error_type;
Chris@16: #if BOOST_MATH_DIGITS10_POLICY == 0
Chris@16:    typedef digits2<> precision_type;
Chris@16: #else
Chris@16:    typedef detail::precision<digits10<>, digits2<> >::type precision_type;
Chris@16: #endif
Chris@16:    typedef promote_float<> promote_float_type;
Chris@16:    typedef promote_double<> promote_double_type;
Chris@16:    typedef discrete_quantile<> discrete_quantile_type;
Chris@16:    typedef assert_undefined<> assert_undefined_type;
Chris@16:    typedef max_series_iterations<> max_series_iterations_type;
Chris@16:    typedef max_root_iterations<> max_root_iterations_type;
Chris@16: };
Chris@16: 
Chris@16: template <>
Chris@16: struct policy<detail::forwarding_arg1, detail::forwarding_arg2, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy>
Chris@16: {
Chris@16: public:
Chris@16:    typedef domain_error<> domain_error_type;
Chris@16:    typedef pole_error<> pole_error_type;
Chris@16:    typedef overflow_error<> overflow_error_type;
Chris@16:    typedef underflow_error<> underflow_error_type;
Chris@16:    typedef denorm_error<> denorm_error_type;
Chris@16:    typedef evaluation_error<> evaluation_error_type;
Chris@16:    typedef rounding_error<> rounding_error_type;
Chris@16:    typedef indeterminate_result_error<> indeterminate_result_error_type;
Chris@16: #if BOOST_MATH_DIGITS10_POLICY == 0
Chris@16:    typedef digits2<> precision_type;
Chris@16: #else
Chris@16:    typedef detail::precision<digits10<>, digits2<> >::type precision_type;
Chris@16: #endif
Chris@16:    typedef promote_float<false> promote_float_type;
Chris@16:    typedef promote_double<false> promote_double_type;
Chris@16:    typedef discrete_quantile<> discrete_quantile_type;
Chris@16:    typedef assert_undefined<> assert_undefined_type;
Chris@16:    typedef max_series_iterations<> max_series_iterations_type;
Chris@16:    typedef max_root_iterations<> max_root_iterations_type;
Chris@16: };
Chris@16: 
Chris@16: template <class Policy, 
Chris@16:           class A1 = default_policy, 
Chris@16:           class A2 = default_policy, 
Chris@16:           class A3 = default_policy,
Chris@16:           class A4 = default_policy,
Chris@16:           class A5 = default_policy,
Chris@16:           class A6 = default_policy,
Chris@16:           class A7 = default_policy,
Chris@16:           class A8 = default_policy,
Chris@16:           class A9 = default_policy,
Chris@16:           class A10 = default_policy,
Chris@16:           class A11 = default_policy,
Chris@16:           class A12 = default_policy,
Chris@16:           class A13 = default_policy>
Chris@16: struct normalise
Chris@16: {
Chris@16: private:
Chris@16:    typedef mpl::list<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11,A12,A13> arg_list;
Chris@16:    typedef typename detail::find_arg<arg_list, is_domain_error<mpl::_1>, typename Policy::domain_error_type >::type domain_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_pole_error<mpl::_1>, typename Policy::pole_error_type >::type pole_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_overflow_error<mpl::_1>, typename Policy::overflow_error_type >::type overflow_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_underflow_error<mpl::_1>, typename Policy::underflow_error_type >::type underflow_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_denorm_error<mpl::_1>, typename Policy::denorm_error_type >::type denorm_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_evaluation_error<mpl::_1>, typename Policy::evaluation_error_type >::type evaluation_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_rounding_error<mpl::_1>, typename Policy::rounding_error_type >::type rounding_error_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_indeterminate_result_error<mpl::_1>, typename Policy::indeterminate_result_error_type >::type indeterminate_result_error_type;
Chris@16:    //
Chris@16:    // Now work out the precision:
Chris@16:    //
Chris@16:    typedef typename detail::find_arg<arg_list, is_digits10<mpl::_1>, digits10<> >::type digits10_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_digits2<mpl::_1>, typename Policy::precision_type >::type bits_precision_type;
Chris@16:    typedef typename detail::precision<digits10_type, bits_precision_type>::type precision_type;
Chris@16:    //
Chris@16:    // Internal promotion:
Chris@16:    //
Chris@16:    typedef typename detail::find_arg<arg_list, is_promote_float<mpl::_1>, typename Policy::promote_float_type >::type promote_float_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_promote_double<mpl::_1>, typename Policy::promote_double_type >::type promote_double_type;
Chris@16:    //
Chris@16:    // Discrete quantiles:
Chris@16:    //
Chris@16:    typedef typename detail::find_arg<arg_list, is_discrete_quantile<mpl::_1>, typename Policy::discrete_quantile_type >::type discrete_quantile_type;
Chris@16:    //
Chris@16:    // Mathematically undefined properties:
Chris@16:    //
Chris@16:    typedef typename detail::find_arg<arg_list, is_assert_undefined<mpl::_1>, typename Policy::assert_undefined_type >::type assert_undefined_type;
Chris@16:    //
Chris@16:    // Max iterations:
Chris@16:    //
Chris@16:    typedef typename detail::find_arg<arg_list, is_max_series_iterations<mpl::_1>, typename Policy::max_series_iterations_type>::type max_series_iterations_type;
Chris@16:    typedef typename detail::find_arg<arg_list, is_max_root_iterations<mpl::_1>, typename Policy::max_root_iterations_type>::type max_root_iterations_type;
Chris@16:    //
Chris@16:    // Define a typelist of the policies:
Chris@16:    //
Chris@16:    typedef mpl::vector<
Chris@16:       domain_error_type,
Chris@16:       pole_error_type,
Chris@16:       overflow_error_type,
Chris@16:       underflow_error_type,
Chris@16:       denorm_error_type,
Chris@16:       evaluation_error_type,
Chris@16:       rounding_error_type,
Chris@16:       indeterminate_result_error_type,
Chris@16:       precision_type,
Chris@16:       promote_float_type,
Chris@16:       promote_double_type,
Chris@16:       discrete_quantile_type,
Chris@16:       assert_undefined_type,
Chris@16:       max_series_iterations_type,
Chris@16:       max_root_iterations_type> result_list;
Chris@16:    //
Chris@16:    // Remove all the policies that are the same as the default:
Chris@16:    //
Chris@16:    typedef typename mpl::remove_if<result_list, detail::is_default_policy<mpl::_> >::type reduced_list;
Chris@16:    //
Chris@16:    // Pad out the list with defaults:
Chris@16:    //
Chris@16:    typedef typename detail::append_N<reduced_list, default_policy, (14 - ::boost::mpl::size<reduced_list>::value)>::type result_type;
Chris@16: public:
Chris@16:    typedef policy<
Chris@16:       typename mpl::at<result_type, mpl::int_<0> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<1> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<2> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<3> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<4> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<5> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<6> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<7> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<8> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<9> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<10> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<11> >::type,
Chris@16:       typename mpl::at<result_type, mpl::int_<12> >::type > type;
Chris@16: };
Chris@16: //
Chris@16: // Full specialisation to speed up compilation of the common case:
Chris@16: //
Chris@16: template <>
Chris@16: struct normalise<policy<>, 
Chris@16:           promote_float<false>, 
Chris@16:           promote_double<false>, 
Chris@16:           discrete_quantile<>,
Chris@16:           assert_undefined<>,
Chris@16:           default_policy,
Chris@16:           default_policy,
Chris@16:           default_policy,
Chris@16:           default_policy,
Chris@16:           default_policy,
Chris@16:           default_policy,
Chris@16:           default_policy>
Chris@16: {
Chris@16:    typedef policy<detail::forwarding_arg1, detail::forwarding_arg2> type;
Chris@16: };
Chris@16: 
Chris@16: template <>
Chris@16: struct normalise<policy<detail::forwarding_arg1, detail::forwarding_arg2>,
Chris@16:           promote_float<false>,
Chris@16:           promote_double<false>,
Chris@16:           discrete_quantile<>,
Chris@16:           assert_undefined<>,
Chris@16:           default_policy,
Chris@16:           default_policy,
Chris@16:           default_policy,
Chris@16:           default_policy,
Chris@16:           default_policy,
Chris@16:           default_policy,
Chris@16:           default_policy>
Chris@16: {
Chris@16:    typedef policy<detail::forwarding_arg1, detail::forwarding_arg2> type;
Chris@16: };
Chris@16: 
Chris@16: inline policy<> make_policy()
Chris@16: { return policy<>(); }
Chris@16: 
Chris@16: template <class A1>
Chris@16: inline typename normalise<policy<>, A1>::type make_policy(const A1&)
Chris@16: { 
Chris@16:    typedef typename normalise<policy<>, A1>::type result_type;
Chris@16:    return result_type(); 
Chris@16: }
Chris@16: 
Chris@16: template <class A1, class A2>
Chris@16: inline typename normalise<policy<>, A1, A2>::type make_policy(const A1&, const A2&)
Chris@16: { 
Chris@16:    typedef typename normalise<policy<>, A1, A2>::type result_type;
Chris@16:    return result_type(); 
Chris@16: }
Chris@16: 
Chris@16: template <class A1, class A2, class A3>
Chris@16: inline typename normalise<policy<>, A1, A2, A3>::type make_policy(const A1&, const A2&, const A3&)
Chris@16: { 
Chris@16:    typedef typename normalise<policy<>, A1, A2, A3>::type result_type;
Chris@16:    return result_type(); 
Chris@16: }
Chris@16: 
Chris@16: template <class A1, class A2, class A3, class A4>
Chris@16: inline typename normalise<policy<>, A1, A2, A3, A4>::type make_policy(const A1&, const A2&, const A3&, const A4&)
Chris@16: { 
Chris@16:    typedef typename normalise<policy<>, A1, A2, A3, A4>::type result_type;
Chris@16:    return result_type(); 
Chris@16: }
Chris@16: 
Chris@16: template <class A1, class A2, class A3, class A4, class A5>
Chris@16: inline typename normalise<policy<>, A1, A2, A3, A4, A5>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&)
Chris@16: { 
Chris@16:    typedef typename normalise<policy<>, A1, A2, A3, A4, A5>::type result_type;
Chris@16:    return result_type(); 
Chris@16: }
Chris@16: 
Chris@16: template <class A1, class A2, class A3, class A4, class A5, class A6>
Chris@16: inline typename normalise<policy<>, A1, A2, A3, A4, A5, A6>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&)
Chris@16: { 
Chris@16:    typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6>::type result_type;
Chris@16:    return result_type(); 
Chris@16: }
Chris@16: 
Chris@16: template <class A1, class A2, class A3, class A4, class A5, class A6, class A7>
Chris@16: inline typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&)
Chris@16: { 
Chris@16:    typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7>::type result_type;
Chris@16:    return result_type(); 
Chris@16: }
Chris@16: 
Chris@16: template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8>
Chris@16: inline typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&)
Chris@16: { 
Chris@16:    typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8>::type result_type;
Chris@16:    return result_type(); 
Chris@16: }
Chris@16: 
Chris@16: template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8, class A9>
Chris@16: inline typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&, const A9&)
Chris@16: { 
Chris@16:    typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9>::type result_type;
Chris@16:    return result_type(); 
Chris@16: }
Chris@16: 
Chris@16: template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8, class A9, class A10>
Chris@16: inline typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&, const A9&, const A10&)
Chris@16: { 
Chris@16:    typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10>::type result_type;
Chris@16:    return result_type(); 
Chris@16: }
Chris@16: 
Chris@16: template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8, class A9, class A10, class A11>
Chris@16: inline typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&, const A9&, const A10&, const A11&)
Chris@16: {
Chris@16:    typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11>::type result_type;
Chris@16:    return result_type();
Chris@16: }
Chris@16: 
Chris@16: //
Chris@16: // Traits class to handle internal promotion:
Chris@16: //
Chris@16: template <class Real, class Policy>
Chris@16: struct evaluation
Chris@16: {
Chris@16:    typedef Real type;
Chris@16: };
Chris@16: 
Chris@16: template <class Policy>
Chris@16: struct evaluation<float, Policy>
Chris@16: {
Chris@16:    typedef typename mpl::if_<typename Policy::promote_float_type, double, float>::type type;
Chris@16: };
Chris@16: 
Chris@16: template <class Policy>
Chris@16: struct evaluation<double, Policy>
Chris@16: {
Chris@16:    typedef typename mpl::if_<typename Policy::promote_double_type, long double, double>::type type;
Chris@16: };
Chris@16: 
Chris@16: #ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
Chris@16: 
Chris@16: template <class Real>
Chris@16: struct basic_digits : public mpl::int_<0>{ };
Chris@16: template <>
Chris@16: struct basic_digits<float> : public mpl::int_<FLT_MANT_DIG>{ };
Chris@16: template <>
Chris@16: struct basic_digits<double> : public mpl::int_<DBL_MANT_DIG>{ };
Chris@16: template <>
Chris@16: struct basic_digits<long double> : public mpl::int_<LDBL_MANT_DIG>{ };
Chris@16: 
Chris@16: template <class Real, class Policy>
Chris@16: struct precision
Chris@16: {
Chris@16:    BOOST_STATIC_ASSERT( ::std::numeric_limits<Real>::radix == 2);
Chris@16:    typedef typename Policy::precision_type precision_type;
Chris@16:    typedef basic_digits<Real> digits_t;
Chris@16:    typedef typename mpl::if_<
Chris@16:       mpl::equal_to<digits_t, mpl::int_<0> >,
Chris@16:       // Possibly unknown precision:
Chris@16:       precision_type,
Chris@16:       typename mpl::if_<
Chris@16:          mpl::or_<mpl::less_equal<digits_t, precision_type>, mpl::less_equal<precision_type, mpl::int_<0> > >,
Chris@16:          // Default case, full precision for RealType:
Chris@16:          digits2< ::std::numeric_limits<Real>::digits>,
Chris@16:          // User customised precision:
Chris@16:          precision_type
Chris@16:       >::type
Chris@16:    >::type type;
Chris@16: };
Chris@16: 
Chris@16: template <class Policy>
Chris@16: struct precision<float, Policy>
Chris@16: {
Chris@16:    typedef digits2<FLT_MANT_DIG> type;
Chris@16: };
Chris@16: template <class Policy>
Chris@16: struct precision<double, Policy>
Chris@16: {
Chris@16:    typedef digits2<DBL_MANT_DIG> type;
Chris@16: };
Chris@16: template <class Policy>
Chris@16: struct precision<long double, Policy>
Chris@16: {
Chris@16:    typedef digits2<LDBL_MANT_DIG> type;
Chris@16: };
Chris@16: 
Chris@16: #else
Chris@16: 
Chris@16: template <class Real, class Policy>
Chris@16: struct precision
Chris@16: {
Chris@16:    BOOST_STATIC_ASSERT((::std::numeric_limits<Real>::radix == 2) || ((::std::numeric_limits<Real>::is_specialized == 0) || (::std::numeric_limits<Real>::digits == 0)));
Chris@16: #ifndef __BORLANDC__
Chris@16:    typedef typename Policy::precision_type precision_type;
Chris@16:    typedef typename mpl::if_c<
Chris@16:       ((::std::numeric_limits<Real>::is_specialized == 0) || (::std::numeric_limits<Real>::digits == 0)),
Chris@16:       // Possibly unknown precision:
Chris@16:       precision_type,
Chris@16:       typename mpl::if_c<
Chris@16:          ((::std::numeric_limits<Real>::digits <= precision_type::value) 
Chris@16:          || (Policy::precision_type::value <= 0)),
Chris@16:          // Default case, full precision for RealType:
Chris@16:          digits2< ::std::numeric_limits<Real>::digits>,
Chris@16:          // User customised precision:
Chris@16:          precision_type
Chris@16:       >::type
Chris@16:    >::type type;
Chris@16: #else
Chris@16:    typedef typename Policy::precision_type precision_type;
Chris@16:    typedef mpl::int_< ::std::numeric_limits<Real>::digits> digits_t;
Chris@16:    typedef mpl::bool_< ::std::numeric_limits<Real>::is_specialized> spec_t;
Chris@16:    typedef typename mpl::if_<
Chris@16:       mpl::or_<mpl::equal_to<spec_t, mpl::false_>, mpl::equal_to<digits_t, mpl::int_<0> > >,
Chris@16:       // Possibly unknown precision:
Chris@16:       precision_type,
Chris@16:       typename mpl::if_<
Chris@16:          mpl::or_<mpl::less_equal<digits_t, precision_type>, mpl::less_equal<precision_type, mpl::int_<0> > >,
Chris@16:          // Default case, full precision for RealType:
Chris@16:          digits2< ::std::numeric_limits<Real>::digits>,
Chris@16:          // User customised precision:
Chris@16:          precision_type
Chris@16:       >::type
Chris@16:    >::type type;
Chris@16: #endif
Chris@16: };
Chris@16: 
Chris@16: #endif
Chris@16: 
Chris@16: #ifdef BOOST_MATH_USE_FLOAT128
Chris@16: 
Chris@16: template <class Policy>
Chris@101: struct precision<BOOST_MATH_FLOAT128_TYPE, Policy>
Chris@16: {
Chris@16:    typedef mpl::int_<113> type;
Chris@16: };
Chris@16: 
Chris@16: #endif
Chris@16: 
Chris@16: namespace detail{
Chris@16: 
Chris@16: template <class T, class Policy>
Chris@16: inline int digits_imp(mpl::true_ const&)
Chris@16: {
Chris@16: #ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
Chris@16:    BOOST_STATIC_ASSERT( ::std::numeric_limits<T>::is_specialized);
Chris@16: #else
Chris@16:    BOOST_ASSERT(::std::numeric_limits<T>::is_specialized);
Chris@16: #endif
Chris@16:    typedef typename boost::math::policies::precision<T, Policy>::type p_t;
Chris@16:    return p_t::value;
Chris@16: }
Chris@16: 
Chris@16: template <class T, class Policy>
Chris@16: inline int digits_imp(mpl::false_ const&)
Chris@16: {
Chris@16:    return tools::digits<T>();
Chris@16: }
Chris@16: 
Chris@16: } // namespace detail
Chris@16: 
Chris@16: template <class T, class Policy>
Chris@16: inline int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T))
Chris@16: {
Chris@16:    typedef mpl::bool_< std::numeric_limits<T>::is_specialized > tag_type;
Chris@16:    return detail::digits_imp<T, Policy>(tag_type());
Chris@16: }
Chris@101: template <class T, class Policy>
Chris@101: inline int digits_base10(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T))
Chris@101: {
Chris@101:    return boost::math::policies::digits<T, Policy>() * 301 / 1000L;
Chris@101: }
Chris@16: 
Chris@16: template <class Policy>
Chris@16: inline unsigned long get_max_series_iterations()
Chris@16: {
Chris@16:    typedef typename Policy::max_series_iterations_type iter_type;
Chris@16:    return iter_type::value;
Chris@16: }
Chris@16: 
Chris@16: template <class Policy>
Chris@16: inline unsigned long get_max_root_iterations()
Chris@16: {
Chris@16:    typedef typename Policy::max_root_iterations_type iter_type;
Chris@16:    return iter_type::value;
Chris@16: }
Chris@16: 
Chris@16: namespace detail{
Chris@16: 
Chris@16: template <class T, class Digits, class Small, class Default>
Chris@16: struct series_factor_calc
Chris@16: {
Chris@16:    static T get()
Chris@16:    {
Chris@16:       return ldexp(T(1.0), 1 - Digits::value);
Chris@16:    }
Chris@16: };
Chris@16: 
Chris@16: template <class T, class Digits>
Chris@16: struct series_factor_calc<T, Digits, mpl::true_, mpl::true_>
Chris@16: {
Chris@16:    static T get()
Chris@16:    {
Chris@16:       return boost::math::tools::epsilon<T>();
Chris@16:    }
Chris@16: };
Chris@16: template <class T, class Digits>
Chris@16: struct series_factor_calc<T, Digits, mpl::true_, mpl::false_>
Chris@16: {
Chris@16:    static T get()
Chris@16:    {
Chris@16:       static const boost::uintmax_t v = static_cast<boost::uintmax_t>(1u) << (Digits::value - 1);
Chris@16:       return 1 / static_cast<T>(v);
Chris@16:    }
Chris@16: };
Chris@16: template <class T, class Digits>
Chris@16: struct series_factor_calc<T, Digits, mpl::false_, mpl::true_>
Chris@16: {
Chris@16:    static T get()
Chris@16:    {
Chris@16:       return boost::math::tools::epsilon<T>();
Chris@16:    }
Chris@16: };
Chris@16: 
Chris@16: template <class T, class Policy>
Chris@16: inline T get_epsilon_imp(mpl::true_ const&)
Chris@16: {
Chris@16: #ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
Chris@16:    BOOST_STATIC_ASSERT( ::std::numeric_limits<T>::is_specialized);
Chris@16:    BOOST_STATIC_ASSERT( ::std::numeric_limits<T>::radix == 2);
Chris@16: #else
Chris@16:    BOOST_ASSERT(::std::numeric_limits<T>::is_specialized);
Chris@16:    BOOST_ASSERT(::std::numeric_limits<T>::radix == 2);
Chris@16: #endif
Chris@16:    typedef typename boost::math::policies::precision<T, Policy>::type p_t;
Chris@16:    typedef mpl::bool_<p_t::value <= std::numeric_limits<boost::uintmax_t>::digits> is_small_int;
Chris@16:    typedef mpl::bool_<p_t::value >= std::numeric_limits<T>::digits> is_default_value;
Chris@16:    return series_factor_calc<T, p_t, is_small_int, is_default_value>::get();
Chris@16: }
Chris@16: 
Chris@16: template <class T, class Policy>
Chris@16: inline T get_epsilon_imp(mpl::false_ const&)
Chris@16: {
Chris@16:    return tools::epsilon<T>();
Chris@16: }
Chris@16: 
Chris@16: } // namespace detail
Chris@16: 
Chris@16: template <class T, class Policy>
Chris@16: inline T get_epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T))
Chris@16: {
Chris@16:    typedef mpl::bool_< (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::radix == 2)) > tag_type;
Chris@16:    return detail::get_epsilon_imp<T, Policy>(tag_type());
Chris@16: }
Chris@16: 
Chris@16: namespace detail{
Chris@16: 
Chris@16: template <class A1, 
Chris@16:           class A2, 
Chris@16:           class A3,
Chris@16:           class A4,
Chris@16:           class A5,
Chris@16:           class A6,
Chris@16:           class A7,
Chris@16:           class A8,
Chris@16:           class A9,
Chris@16:           class A10,
Chris@16:           class A11>
Chris@16: char test_is_policy(const policy<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11>*);
Chris@16: double test_is_policy(...);
Chris@16: 
Chris@16: template <class P>
Chris@16: struct is_policy_imp
Chris@16: {
Chris@16:    BOOST_STATIC_CONSTANT(bool, value = (sizeof(::boost::math::policies::detail::test_is_policy(static_cast<P*>(0))) == 1));
Chris@16: };
Chris@16: 
Chris@16: }
Chris@16: 
Chris@16: template <class P>
Chris@16: struct is_policy : public mpl::bool_< ::boost::math::policies::detail::is_policy_imp<P>::value> {};
Chris@16: 
Chris@16: //
Chris@16: // Helper traits class for distribution error handling:
Chris@16: //
Chris@16: template <class Policy>
Chris@16: struct constructor_error_check
Chris@16: {
Chris@16:    typedef typename Policy::domain_error_type domain_error_type;
Chris@16:    typedef typename mpl::if_c<
Chris@16:       (domain_error_type::value == throw_on_error) || (domain_error_type::value == user_error),
Chris@16:       mpl::true_,
Chris@16:       mpl::false_>::type type;
Chris@16: };
Chris@16: 
Chris@16: template <class Policy>
Chris@16: struct method_error_check
Chris@16: {
Chris@16:    typedef typename Policy::domain_error_type domain_error_type;
Chris@16:    typedef typename mpl::if_c<
Chris@16:       (domain_error_type::value == throw_on_error) && (domain_error_type::value != user_error),
Chris@16:       mpl::false_,
Chris@16:       mpl::true_>::type type;
Chris@16: };
Chris@16: 
Chris@16: }}} // namespaces
Chris@16: 
Chris@16: #endif // BOOST_MATH_POLICY_HPP
Chris@16: 
Chris@16: 
Chris@16: