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Diffstat (limited to '3rdParty/Boost/src/boost/math/policies')
| -rw-r--r-- | 3rdParty/Boost/src/boost/math/policies/policy.hpp | 982 |
1 files changed, 982 insertions, 0 deletions
diff --git a/3rdParty/Boost/src/boost/math/policies/policy.hpp b/3rdParty/Boost/src/boost/math/policies/policy.hpp new file mode 100644 index 0000000..01fe3d0 --- /dev/null +++ b/3rdParty/Boost/src/boost/math/policies/policy.hpp @@ -0,0 +1,982 @@ +// Copyright John Maddock 2007. +// Use, modification and distribution are subject to 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_MATH_POLICY_HPP +#define BOOST_MATH_POLICY_HPP + +#include <boost/mpl/list.hpp> +#include <boost/mpl/contains.hpp> +#include <boost/mpl/if.hpp> +#include <boost/mpl/find_if.hpp> +#include <boost/mpl/remove_if.hpp> +#include <boost/mpl/vector.hpp> +#include <boost/mpl/push_back.hpp> +#include <boost/mpl/at.hpp> +#include <boost/mpl/size.hpp> +#include <boost/mpl/comparison.hpp> +#include <boost/type_traits/is_same.hpp> +#include <boost/static_assert.hpp> +#include <boost/assert.hpp> +#include <boost/math/tools/config.hpp> +#include <limits> +// Sadly we do need the .h versions of these to be sure of getting +// FLT_MANT_DIG etc. +#include <limits.h> +#include <stdlib.h> +#include <stddef.h> +#include <math.h> + +namespace boost{ namespace math{ + +namespace tools{ + +template <class T> +int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)); +template <class T> +T epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)); + +} + +namespace policies{ + +// +// 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_ROUNDING_ERROR_POLICY +#define BOOST_MATH_ROUNDING_ERROR_POLICY throw_on_error +#endif +#ifndef BOOST_MATH_UNDERFLOW_ERROR_POLICY +#define BOOST_MATH_UNDERFLOW_ERROR_POLICY ignore_error +#endif +#ifndef BOOST_MATH_DENORM_ERROR_POLICY +#define BOOST_MATH_DENORM_ERROR_POLICY ignore_error +#endif +#ifndef BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY +#define BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY ignore_error +#endif +#ifndef BOOST_MATH_DIGITS10_POLICY +#define BOOST_MATH_DIGITS10_POLICY 0 +#endif +#ifndef BOOST_MATH_PROMOTE_FLOAT_POLICY +#define BOOST_MATH_PROMOTE_FLOAT_POLICY true +#endif +#ifndef BOOST_MATH_PROMOTE_DOUBLE_POLICY +#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS +#define BOOST_MATH_PROMOTE_DOUBLE_POLICY false +#else +#define BOOST_MATH_PROMOTE_DOUBLE_POLICY true +#endif +#endif +#ifndef BOOST_MATH_DISCRETE_QUANTILE_POLICY +#define BOOST_MATH_DISCRETE_QUANTILE_POLICY integer_round_outwards +#endif +#ifndef BOOST_MATH_ASSERT_UNDEFINED_POLICY +#define BOOST_MATH_ASSERT_UNDEFINED_POLICY true +#endif +#ifndef BOOST_MATH_MAX_SERIES_ITERATION_POLICY +#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 1000000 +#endif +#ifndef BOOST_MATH_MAX_ROOT_ITERATION_POLICY +#define BOOST_MATH_MAX_ROOT_ITERATION_POLICY 200 +#endif + +#if !defined(__BORLANDC__) \ + && !(defined(__GNUC__) && (__GNUC__ == 3) && (__GNUC_MINOR__ <= 2)) +#define BOOST_MATH_META_INT(type, name, Default)\ + template <type N = Default> struct name : public boost::mpl::int_<N>{};\ + namespace detail{\ + template <type N>\ + char test_is_valid_arg(const name<N>*);\ + char test_is_default_arg(const name<Default>*);\ + template <class T> struct is_##name##_imp\ + {\ + template <type N> static char test(const name<N>*);\ + static double test(...);\ + BOOST_STATIC_CONSTANT(bool, value = sizeof(test(static_cast<T*>(0))) == 1);\ + };\ + }\ + template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>{}; + +#define BOOST_MATH_META_BOOL(name, Default)\ + template <bool N = Default> struct name : public boost::mpl::bool_<N>{};\ + namespace detail{\ + template <bool N>\ + char test_is_valid_arg(const name<N>*);\ + char test_is_default_arg(const name<Default>*);\ + template <class T> struct is_##name##_imp\ + {\ + template <bool N> static char test(const name<N>*);\ + static double test(...);\ + BOOST_STATIC_CONSTANT(bool, value = sizeof(test(static_cast<T*>(0))) == 1);\ + };\ + }\ + template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>{}; +#else +#define BOOST_MATH_META_INT(Type, name, Default)\ + template <Type N = Default> struct name : public boost::mpl::int_<N>{};\ + namespace detail{\ + template <Type N>\ + char test_is_valid_arg(const name<N>*);\ + char test_is_default_arg(const name<Default>*);\ + template <class T> struct is_##name##_tester\ + {\ + template <Type N> static char test(const name<N>&);\ + static double test(...);\ + };\ + template <class T> struct is_##name##_imp\ + {\ + static T inst;\ + BOOST_STATIC_CONSTANT(bool, value = sizeof( ::boost::math::policies::detail::is_##name##_tester<T>::test(inst)) == 1);\ + };\ + }\ + template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>\ + {\ + template <class U> struct apply{ typedef is_##name<U> type; };\ + }; + +#define BOOST_MATH_META_BOOL(name, Default)\ + template <bool N = Default> struct name : public boost::mpl::bool_<N>{};\ + namespace detail{\ + template <bool N>\ + char test_is_valid_arg(const name<N>*);\ + char test_is_default_arg(const name<Default>*);\ + template <class T> struct is_##name##_tester\ + {\ + template <bool N> static char test(const name<N>&);\ + static double test(...);\ + };\ + template <class T> struct is_##name##_imp\ + {\ + static T inst;\ + BOOST_STATIC_CONSTANT(bool, value = sizeof( ::boost::math::policies::detail::is_##name##_tester<T>::test(inst)) == 1);\ + };\ + }\ + template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>\ + {\ + template <class U> struct apply{ typedef is_##name<U> type; };\ + }; +#endif +// +// Begin by defining policy types for error handling: +// +enum error_policy_type +{ + throw_on_error = 0, + errno_on_error = 1, + ignore_error = 2, + user_error = 3 +}; + +BOOST_MATH_META_INT(error_policy_type, domain_error, BOOST_MATH_DOMAIN_ERROR_POLICY) +BOOST_MATH_META_INT(error_policy_type, pole_error, BOOST_MATH_POLE_ERROR_POLICY) +BOOST_MATH_META_INT(error_policy_type, overflow_error, BOOST_MATH_OVERFLOW_ERROR_POLICY) +BOOST_MATH_META_INT(error_policy_type, underflow_error, BOOST_MATH_UNDERFLOW_ERROR_POLICY) +BOOST_MATH_META_INT(error_policy_type, denorm_error, BOOST_MATH_DENORM_ERROR_POLICY) +BOOST_MATH_META_INT(error_policy_type, evaluation_error, BOOST_MATH_EVALUATION_ERROR_POLICY) +BOOST_MATH_META_INT(error_policy_type, rounding_error, BOOST_MATH_ROUNDING_ERROR_POLICY) +BOOST_MATH_META_INT(error_policy_type, indeterminate_result_error, BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY) + +// +// Policy types for internal promotion: +// +BOOST_MATH_META_BOOL(promote_float, BOOST_MATH_PROMOTE_FLOAT_POLICY) +BOOST_MATH_META_BOOL(promote_double, BOOST_MATH_PROMOTE_DOUBLE_POLICY) +BOOST_MATH_META_BOOL(assert_undefined, BOOST_MATH_ASSERT_UNDEFINED_POLICY) +// +// Policy types for discrete quantiles: +// +enum discrete_quantile_policy_type +{ + real, + integer_round_outwards, + integer_round_inwards, + integer_round_down, + integer_round_up, + integer_round_nearest +}; + +BOOST_MATH_META_INT(discrete_quantile_policy_type, discrete_quantile, BOOST_MATH_DISCRETE_QUANTILE_POLICY) +// +// Precision: +// +BOOST_MATH_META_INT(int, digits10, BOOST_MATH_DIGITS10_POLICY) +BOOST_MATH_META_INT(int, digits2, 0) +// +// Iterations: +// +BOOST_MATH_META_INT(unsigned long, max_series_iterations, BOOST_MATH_MAX_SERIES_ITERATION_POLICY) +BOOST_MATH_META_INT(unsigned long, max_root_iterations, BOOST_MATH_MAX_ROOT_ITERATION_POLICY) +// +// Define the names for each possible policy: +// +#define BOOST_MATH_PARAMETER(name)\ + BOOST_PARAMETER_TEMPLATE_KEYWORD(name##_name)\ + BOOST_PARAMETER_NAME(name##_name) + +struct default_policy{}; + +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 typename mpl::if_c< + (Digits10::value == 0), + digits2<0>, + digits2<((Digits10::value + 1) * 1000L) / 301L> + >::type digits2_type; +public: +#ifdef __BORLANDC__ + typedef typename mpl::if_c< + (Digits2::value > ::boost::math::policies::detail::precision<Digits10,Digits2>::digits2_type::value), + Digits2, digits2_type>::type type; +#else + typedef typename mpl::if_c< + (Digits2::value > digits2_type::value), + Digits2, digits2_type>::type type; +#endif +}; + +template <class A, class B, bool b> +struct select_result +{ + typedef A type; +}; +template <class A, class B> +struct select_result<A, B, false> +{ + typedef typename mpl::deref<B>::type type; +}; + +template <class Seq, class Pred, class DefaultType> +struct find_arg +{ +private: + typedef typename mpl::find_if<Seq, Pred>::type iter; + typedef typename mpl::end<Seq>::type end_type; +public: + typedef typename select_result< + DefaultType, iter, + ::boost::is_same<iter, end_type>::value>::type type; +}; + +double test_is_valid_arg(...); +double test_is_default_arg(...); +char test_is_valid_arg(const default_policy*); +char test_is_default_arg(const default_policy*); + +template <class T> +struct is_valid_policy_imp +{ + BOOST_STATIC_CONSTANT(bool, value = sizeof(::boost::math::policies::detail::test_is_valid_arg(static_cast<T*>(0))) == 1); +}; + +template <class T> +struct is_default_policy_imp +{ + BOOST_STATIC_CONSTANT(bool, value = sizeof(::boost::math::policies::detail::test_is_default_arg(static_cast<T*>(0))) == 1); +}; + +template <class T> struct is_valid_policy +: public mpl::bool_< + ::boost::math::policies::detail::is_valid_policy_imp<T>::value> +{}; + +template <class T> struct is_default_policy +: public mpl::bool_< + ::boost::math::policies::detail::is_default_policy_imp<T>::value> +{ + template <class U> + struct apply + { + typedef is_default_policy<U> type; + }; +}; + +template <class Seq, class T, int N> +struct append_N +{ + typedef typename mpl::push_back<Seq, T>::type new_seq; + typedef typename append_N<new_seq, T, N-1>::type type; +}; + +template <class Seq, class T> +struct append_N<Seq, T, 0> +{ + typedef Seq type; +}; + +// +// Traits class to work out what template parameters our default +// policy<> class will have when modified for forwarding: +// +template <bool f, bool d> +struct default_args +{ + typedef promote_float<false> arg1; + typedef promote_double<false> arg2; +}; + +template <> +struct default_args<false, false> +{ + typedef default_policy arg1; + typedef default_policy arg2; +}; + +template <> +struct default_args<true, false> +{ + typedef promote_float<false> arg1; + typedef default_policy arg2; +}; + +template <> +struct default_args<false, true> +{ + typedef promote_double<false> arg1; + typedef default_policy arg2; +}; + +typedef default_args<BOOST_MATH_PROMOTE_FLOAT_POLICY, BOOST_MATH_PROMOTE_DOUBLE_POLICY>::arg1 forwarding_arg1; +typedef default_args<BOOST_MATH_PROMOTE_FLOAT_POLICY, BOOST_MATH_PROMOTE_DOUBLE_POLICY>::arg2 forwarding_arg2; + +} // detail +// +// Now define the policy type with enough arguments to handle all +// the policies: +// +template <class A1 = default_policy, + class A2 = default_policy, + class A3 = default_policy, + class A4 = default_policy, + class A5 = default_policy, + class A6 = default_policy, + class A7 = default_policy, + class A8 = default_policy, + class A9 = default_policy, + class A10 = default_policy, + class A11 = default_policy, + class A12 = default_policy, + class A13 = default_policy> +struct policy +{ +private: + // + // Validate all our arguments: + // + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A1>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A2>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A3>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A4>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A5>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A6>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A7>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A8>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A9>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A10>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A11>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A12>::value); + BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A13>::value); + // + // Typelist of the arguments: + // + typedef mpl::list<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11,A12,A13> arg_list; + +public: + typedef typename detail::find_arg<arg_list, is_domain_error<mpl::_1>, domain_error<> >::type domain_error_type; + typedef typename detail::find_arg<arg_list, is_pole_error<mpl::_1>, pole_error<> >::type pole_error_type; + typedef typename detail::find_arg<arg_list, is_overflow_error<mpl::_1>, overflow_error<> >::type overflow_error_type; + typedef typename detail::find_arg<arg_list, is_underflow_error<mpl::_1>, underflow_error<> >::type underflow_error_type; + typedef typename detail::find_arg<arg_list, is_denorm_error<mpl::_1>, denorm_error<> >::type denorm_error_type; + typedef typename detail::find_arg<arg_list, is_evaluation_error<mpl::_1>, evaluation_error<> >::type evaluation_error_type; + typedef typename detail::find_arg<arg_list, is_rounding_error<mpl::_1>, rounding_error<> >::type rounding_error_type; + typedef typename detail::find_arg<arg_list, is_indeterminate_result_error<mpl::_1>, indeterminate_result_error<> >::type indeterminate_result_error_type; +private: + // + // Now work out the precision: + // + typedef typename detail::find_arg<arg_list, is_digits10<mpl::_1>, digits10<> >::type digits10_type; + typedef typename detail::find_arg<arg_list, is_digits2<mpl::_1>, digits2<> >::type bits_precision_type; +public: + typedef typename detail::precision<digits10_type, bits_precision_type>::type precision_type; + // + // Internal promotion: + // + typedef typename detail::find_arg<arg_list, is_promote_float<mpl::_1>, promote_float<> >::type promote_float_type; + typedef typename detail::find_arg<arg_list, is_promote_double<mpl::_1>, promote_double<> >::type promote_double_type; + // + // Discrete quantiles: + // + typedef typename detail::find_arg<arg_list, is_discrete_quantile<mpl::_1>, discrete_quantile<> >::type discrete_quantile_type; + // + // Mathematically undefined properties: + // + typedef typename detail::find_arg<arg_list, is_assert_undefined<mpl::_1>, assert_undefined<> >::type assert_undefined_type; + // + // Max iterations: + // + typedef typename detail::find_arg<arg_list, is_max_series_iterations<mpl::_1>, max_series_iterations<> >::type max_series_iterations_type; + typedef typename detail::find_arg<arg_list, is_max_root_iterations<mpl::_1>, max_root_iterations<> >::type max_root_iterations_type; +}; +// +// These full specializations are defined to reduce the amount of +// template instantiations that have to take place when using the default +// policies, they have quite a large impact on compile times: +// +template <> +struct policy<default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy, default_policy> +{ +public: + typedef domain_error<> domain_error_type; + typedef pole_error<> pole_error_type; + typedef overflow_error<> overflow_error_type; + typedef underflow_error<> underflow_error_type; + typedef denorm_error<> denorm_error_type; + typedef evaluation_error<> evaluation_error_type; + typedef rounding_error<> rounding_error_type; + typedef indeterminate_result_error<> indeterminate_result_error_type; +#if BOOST_MATH_DIGITS10_POLICY == 0 + typedef digits2<> precision_type; +#else + typedef detail::precision<digits10<>, digits2<> >::type precision_type; +#endif + typedef promote_float<> promote_float_type; + typedef promote_double<> promote_double_type; + typedef discrete_quantile<> discrete_quantile_type; + typedef assert_undefined<> assert_undefined_type; + typedef max_series_iterations<> max_series_iterations_type; + typedef max_root_iterations<> max_root_iterations_type; +}; + +template <> +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> +{ +public: + typedef domain_error<> domain_error_type; + typedef pole_error<> pole_error_type; + typedef overflow_error<> overflow_error_type; + typedef underflow_error<> underflow_error_type; + typedef denorm_error<> denorm_error_type; + typedef evaluation_error<> evaluation_error_type; + typedef rounding_error<> rounding_error_type; + typedef indeterminate_result_error<> indeterminate_result_error_type; +#if BOOST_MATH_DIGITS10_POLICY == 0 + typedef digits2<> precision_type; +#else + typedef detail::precision<digits10<>, digits2<> >::type precision_type; +#endif + typedef promote_float<false> promote_float_type; + typedef promote_double<false> promote_double_type; + typedef discrete_quantile<> discrete_quantile_type; + typedef assert_undefined<> assert_undefined_type; + typedef max_series_iterations<> max_series_iterations_type; + typedef max_root_iterations<> max_root_iterations_type; +}; + +template <class Policy, + class A1 = default_policy, + class A2 = default_policy, + class A3 = default_policy, + class A4 = default_policy, + class A5 = default_policy, + class A6 = default_policy, + class A7 = default_policy, + class A8 = default_policy, + class A9 = default_policy, + class A10 = default_policy, + class A11 = default_policy, + class A12 = default_policy, + class A13 = default_policy> +struct normalise +{ +private: + typedef mpl::list<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11,A12,A13> arg_list; + typedef typename detail::find_arg<arg_list, is_domain_error<mpl::_1>, typename Policy::domain_error_type >::type domain_error_type; + typedef typename detail::find_arg<arg_list, is_pole_error<mpl::_1>, typename Policy::pole_error_type >::type pole_error_type; + typedef typename detail::find_arg<arg_list, is_overflow_error<mpl::_1>, typename Policy::overflow_error_type >::type overflow_error_type; + typedef typename detail::find_arg<arg_list, is_underflow_error<mpl::_1>, typename Policy::underflow_error_type >::type underflow_error_type; + typedef typename detail::find_arg<arg_list, is_denorm_error<mpl::_1>, typename Policy::denorm_error_type >::type denorm_error_type; + typedef typename detail::find_arg<arg_list, is_evaluation_error<mpl::_1>, typename Policy::evaluation_error_type >::type evaluation_error_type; + typedef typename detail::find_arg<arg_list, is_rounding_error<mpl::_1>, typename Policy::rounding_error_type >::type rounding_error_type; + typedef typename detail::find_arg<arg_list, is_indeterminate_result_error<mpl::_1>, typename Policy::indeterminate_result_error_type >::type indeterminate_result_error_type; + // + // Now work out the precision: + // + typedef typename detail::find_arg<arg_list, is_digits10<mpl::_1>, digits10<> >::type digits10_type; + typedef typename detail::find_arg<arg_list, is_digits2<mpl::_1>, typename Policy::precision_type >::type bits_precision_type; + typedef typename detail::precision<digits10_type, bits_precision_type>::type precision_type; + // + // Internal promotion: + // + typedef typename detail::find_arg<arg_list, is_promote_float<mpl::_1>, typename Policy::promote_float_type >::type promote_float_type; + typedef typename detail::find_arg<arg_list, is_promote_double<mpl::_1>, typename Policy::promote_double_type >::type promote_double_type; + // + // Discrete quantiles: + // + typedef typename detail::find_arg<arg_list, is_discrete_quantile<mpl::_1>, typename Policy::discrete_quantile_type >::type discrete_quantile_type; + // + // Mathematically undefined properties: + // + typedef typename detail::find_arg<arg_list, is_assert_undefined<mpl::_1>, typename Policy::assert_undefined_type >::type assert_undefined_type; + // + // Max iterations: + // + typedef typename detail::find_arg<arg_list, is_max_series_iterations<mpl::_1>, typename Policy::max_series_iterations_type>::type max_series_iterations_type; + typedef typename detail::find_arg<arg_list, is_max_root_iterations<mpl::_1>, typename Policy::max_root_iterations_type>::type max_root_iterations_type; + // + // Define a typelist of the policies: + // + typedef mpl::vector< + domain_error_type, + pole_error_type, + overflow_error_type, + underflow_error_type, + denorm_error_type, + evaluation_error_type, + rounding_error_type, + indeterminate_result_error_type, + precision_type, + promote_float_type, + promote_double_type, + discrete_quantile_type, + assert_undefined_type, + max_series_iterations_type, + max_root_iterations_type> result_list; + // + // Remove all the policies that are the same as the default: + // + typedef typename mpl::remove_if<result_list, detail::is_default_policy<mpl::_> >::type reduced_list; + // + // Pad out the list with defaults: + // + typedef typename detail::append_N<reduced_list, default_policy, (14 - ::boost::mpl::size<reduced_list>::value)>::type result_type; +public: + typedef policy< + typename mpl::at<result_type, mpl::int_<0> >::type, + typename mpl::at<result_type, mpl::int_<1> >::type, + typename mpl::at<result_type, mpl::int_<2> >::type, + typename mpl::at<result_type, mpl::int_<3> >::type, + typename mpl::at<result_type, mpl::int_<4> >::type, + typename mpl::at<result_type, mpl::int_<5> >::type, + typename mpl::at<result_type, mpl::int_<6> >::type, + typename mpl::at<result_type, mpl::int_<7> >::type, + typename mpl::at<result_type, mpl::int_<8> >::type, + typename mpl::at<result_type, mpl::int_<9> >::type, + typename mpl::at<result_type, mpl::int_<10> >::type, + typename mpl::at<result_type, mpl::int_<11> >::type, + typename mpl::at<result_type, mpl::int_<12> >::type > type; +}; +// +// Full specialisation to speed up compilation of the common case: +// +template <> +struct normalise<policy<>, + promote_float<false>, + promote_double<false>, + discrete_quantile<>, + assert_undefined<>, + default_policy, + default_policy, + default_policy, + default_policy, + default_policy, + default_policy, + default_policy> +{ + typedef policy<detail::forwarding_arg1, detail::forwarding_arg2> type; +}; + +template <> +struct normalise<policy<detail::forwarding_arg1, detail::forwarding_arg2>, + promote_float<false>, + promote_double<false>, + discrete_quantile<>, + assert_undefined<>, + default_policy, + default_policy, + default_policy, + default_policy, + default_policy, + default_policy, + default_policy> +{ + typedef policy<detail::forwarding_arg1, detail::forwarding_arg2> type; +}; + +inline policy<> make_policy() +{ return policy<>(); } + +template <class A1> +inline typename normalise<policy<>, A1>::type make_policy(const A1&) +{ + typedef typename normalise<policy<>, A1>::type result_type; + return result_type(); +} + +template <class A1, class A2> +inline typename normalise<policy<>, A1, A2>::type make_policy(const A1&, const A2&) +{ + typedef typename normalise<policy<>, A1, A2>::type result_type; + return result_type(); +} + +template <class A1, class A2, class A3> +inline typename normalise<policy<>, A1, A2, A3>::type make_policy(const A1&, const A2&, const A3&) +{ + typedef typename normalise<policy<>, A1, A2, A3>::type result_type; + return result_type(); +} + +template <class A1, class A2, class A3, class A4> +inline typename normalise<policy<>, A1, A2, A3, A4>::type make_policy(const A1&, const A2&, const A3&, const A4&) +{ + typedef typename normalise<policy<>, A1, A2, A3, A4>::type result_type; + return result_type(); +} + +template <class A1, class A2, class A3, class A4, class A5> +inline typename normalise<policy<>, A1, A2, A3, A4, A5>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&) +{ + typedef typename normalise<policy<>, A1, A2, A3, A4, A5>::type result_type; + return result_type(); +} + +template <class A1, class A2, class A3, class A4, class A5, class A6> +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&) +{ + typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6>::type result_type; + return result_type(); +} + +template <class A1, class A2, class A3, class A4, class A5, class A6, class A7> +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&) +{ + typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7>::type result_type; + return result_type(); +} + +template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8> +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&) +{ + typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8>::type result_type; + return result_type(); +} + +template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8, class A9> +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&) +{ + typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9>::type result_type; + return result_type(); +} + +template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8, class A9, class A10> +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&) +{ + typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10>::type result_type; + return result_type(); +} + +template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8, class A9, class A10, class A11> +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&) +{ + typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11>::type result_type; + return result_type(); +} + +// +// Traits class to handle internal promotion: +// +template <class Real, class Policy> +struct evaluation +{ + typedef Real type; +}; + +template <class Policy> +struct evaluation<float, Policy> +{ + typedef typename mpl::if_<typename Policy::promote_float_type, double, float>::type type; +}; + +template <class Policy> +struct evaluation<double, Policy> +{ + typedef typename mpl::if_<typename Policy::promote_double_type, long double, double>::type type; +}; + +#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS + +template <class Real> +struct basic_digits : public mpl::int_<0>{ }; +template <> +struct basic_digits<float> : public mpl::int_<FLT_MANT_DIG>{ }; +template <> +struct basic_digits<double> : public mpl::int_<DBL_MANT_DIG>{ }; +template <> +struct basic_digits<long double> : public mpl::int_<LDBL_MANT_DIG>{ }; + +template <class Real, class Policy> +struct precision +{ + BOOST_STATIC_ASSERT( ::std::numeric_limits<Real>::radix == 2); + typedef typename Policy::precision_type precision_type; + typedef basic_digits<Real> digits_t; + typedef typename mpl::if_< + mpl::equal_to<digits_t, mpl::int_<0> >, + // Possibly unknown precision: + precision_type, + typename mpl::if_< + mpl::or_<mpl::less_equal<digits_t, precision_type>, mpl::less_equal<precision_type, mpl::int_<0> > >, + // Default case, full precision for RealType: + digits2< ::std::numeric_limits<Real>::digits>, + // User customised precision: + precision_type + >::type + >::type type; +}; + +template <class Policy> +struct precision<float, Policy> +{ + typedef digits2<FLT_MANT_DIG> type; +}; +template <class Policy> +struct precision<double, Policy> +{ + typedef digits2<DBL_MANT_DIG> type; +}; +template <class Policy> +struct precision<long double, Policy> +{ + typedef digits2<LDBL_MANT_DIG> type; +}; + +#else + +template <class Real, class Policy> +struct precision +{ + BOOST_STATIC_ASSERT((::std::numeric_limits<Real>::radix == 2) || ((::std::numeric_limits<Real>::is_specialized == 0) || (::std::numeric_limits<Real>::digits == 0))); +#ifndef __BORLANDC__ + typedef typename Policy::precision_type precision_type; + typedef typename mpl::if_c< + ((::std::numeric_limits<Real>::is_specialized == 0) || (::std::numeric_limits<Real>::digits == 0)), + // Possibly unknown precision: + precision_type, + typename mpl::if_c< + ((::std::numeric_limits<Real>::digits <= precision_type::value) + || (Policy::precision_type::value <= 0)), + // Default case, full precision for RealType: + digits2< ::std::numeric_limits<Real>::digits>, + // User customised precision: + precision_type + >::type + >::type type; +#else + typedef typename Policy::precision_type precision_type; + typedef mpl::int_< ::std::numeric_limits<Real>::digits> digits_t; + typedef mpl::bool_< ::std::numeric_limits<Real>::is_specialized> spec_t; + typedef typename mpl::if_< + mpl::or_<mpl::equal_to<spec_t, mpl::false_>, mpl::equal_to<digits_t, mpl::int_<0> > >, + // Possibly unknown precision: + precision_type, + typename mpl::if_< + mpl::or_<mpl::less_equal<digits_t, precision_type>, mpl::less_equal<precision_type, mpl::int_<0> > >, + // Default case, full precision for RealType: + digits2< ::std::numeric_limits<Real>::digits>, + // User customised precision: + precision_type + >::type + >::type type; +#endif +}; + +#endif + +namespace detail{ + +template <class T, class Policy> +inline int digits_imp(mpl::true_ const&) +{ +#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS + BOOST_STATIC_ASSERT( ::std::numeric_limits<T>::is_specialized); +#else + BOOST_ASSERT(::std::numeric_limits<T>::is_specialized); +#endif + typedef typename boost::math::policies::precision<T, Policy>::type p_t; + return p_t::value; +} + +template <class T, class Policy> +inline int digits_imp(mpl::false_ const&) +{ + return tools::digits<T>(); +} + +} // namespace detail + +template <class T, class Policy> +inline int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) +{ + typedef mpl::bool_< std::numeric_limits<T>::is_specialized > tag_type; + return detail::digits_imp<T, Policy>(tag_type()); +} + +template <class Policy> +inline unsigned long get_max_series_iterations() +{ + typedef typename Policy::max_series_iterations_type iter_type; + return iter_type::value; +} + +template <class Policy> +inline unsigned long get_max_root_iterations() +{ + typedef typename Policy::max_root_iterations_type iter_type; + return iter_type::value; +} + +namespace detail{ + +template <class T, class Digits, class Small, class Default> +struct series_factor_calc +{ + static T get() + { + return ldexp(T(1.0), 1 - Digits::value); + } +}; + +template <class T, class Digits> +struct series_factor_calc<T, Digits, mpl::true_, mpl::true_> +{ + static T get() + { + return boost::math::tools::epsilon<T>(); + } +}; +template <class T, class Digits> +struct series_factor_calc<T, Digits, mpl::true_, mpl::false_> +{ + static T get() + { + static const boost::uintmax_t v = static_cast<boost::uintmax_t>(1u) << (Digits::value - 1); + return 1 / static_cast<T>(v); + } +}; +template <class T, class Digits> +struct series_factor_calc<T, Digits, mpl::false_, mpl::true_> +{ + static T get() + { + return boost::math::tools::epsilon<T>(); + } +}; + +template <class T, class Policy> +inline T get_epsilon_imp(mpl::true_ const&) +{ +#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS + BOOST_STATIC_ASSERT( ::std::numeric_limits<T>::is_specialized); + BOOST_STATIC_ASSERT( ::std::numeric_limits<T>::radix == 2); +#else + BOOST_ASSERT(::std::numeric_limits<T>::is_specialized); + BOOST_ASSERT(::std::numeric_limits<T>::radix == 2); +#endif + typedef typename boost::math::policies::precision<T, Policy>::type p_t; + typedef mpl::bool_<p_t::value <= std::numeric_limits<boost::uintmax_t>::digits> is_small_int; + typedef mpl::bool_<p_t::value >= std::numeric_limits<T>::digits> is_default_value; + return series_factor_calc<T, p_t, is_small_int, is_default_value>::get(); +} + +template <class T, class Policy> +inline T get_epsilon_imp(mpl::false_ const&) +{ + return tools::epsilon<T>(); +} + +} // namespace detail + +template <class T, class Policy> +inline T get_epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) +{ + typedef mpl::bool_< (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::radix == 2)) > tag_type; + return detail::get_epsilon_imp<T, Policy>(tag_type()); +} + +namespace detail{ + +template <class A1, + class A2, + class A3, + class A4, + class A5, + class A6, + class A7, + class A8, + class A9, + class A10, + class A11> +char test_is_policy(const policy<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11>*); +double test_is_policy(...); + +template <class P> +struct is_policy_imp +{ + BOOST_STATIC_CONSTANT(bool, value = (sizeof(::boost::math::policies::detail::test_is_policy(static_cast<P*>(0))) == 1)); +}; + +} + +template <class P> +struct is_policy : public mpl::bool_< ::boost::math::policies::detail::is_policy_imp<P>::value> {}; + +// +// Helper traits class for distribution error handling: +// +template <class Policy> +struct constructor_error_check +{ + typedef typename Policy::domain_error_type domain_error_type; + typedef typename mpl::if_c< + (domain_error_type::value == throw_on_error) || (domain_error_type::value == user_error), + mpl::true_, + mpl::false_>::type type; +}; + +template <class Policy> +struct method_error_check +{ + typedef typename Policy::domain_error_type domain_error_type; + typedef typename mpl::if_c< + (domain_error_type::value == throw_on_error) && (domain_error_type::value != user_error), + mpl::false_, + mpl::true_>::type type; +}; + +}}} // namespaces + +#endif // BOOST_MATH_POLICY_HPP + + + |