1041 lines
38 KiB
C++
1041 lines
38 KiB
C++
// Copyright John Maddock 2007.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#ifndef BOOST_MATH_POLICY_HPP
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#define BOOST_MATH_POLICY_HPP
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#include <boost/mpl/list.hpp>
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#include <boost/mpl/contains.hpp>
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#include <boost/mpl/if.hpp>
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#include <boost/mpl/find_if.hpp>
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#include <boost/mpl/remove_if.hpp>
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#include <boost/mpl/vector.hpp>
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#include <boost/mpl/push_back.hpp>
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#include <boost/mpl/at.hpp>
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#include <boost/mpl/size.hpp>
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#include <boost/mpl/comparison.hpp>
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#include <boost/type_traits/is_same.hpp>
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#include <boost/static_assert.hpp>
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#include <boost/assert.hpp>
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#include <boost/math/tools/config.hpp>
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#include <limits>
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// Sadly we do need the .h versions of these to be sure of getting
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// FLT_MANT_DIG etc.
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#include <limits.h>
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#include <stdlib.h>
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#include <stddef.h>
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#include <math.h>
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namespace boost{ namespace math{
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namespace tools{
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template <class T>
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BOOST_MATH_CONSTEXPR int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) BOOST_NOEXCEPT;
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template <class T>
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BOOST_MATH_CONSTEXPR T epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) BOOST_MATH_NOEXCEPT(T);
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}
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namespace policies{
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//
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// Define macros for our default policies, if they're not defined already:
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//
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// Special cases for exceptions disabled first:
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//
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#ifdef BOOST_NO_EXCEPTIONS
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# ifndef BOOST_MATH_DOMAIN_ERROR_POLICY
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# define BOOST_MATH_DOMAIN_ERROR_POLICY errno_on_error
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# endif
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# ifndef BOOST_MATH_POLE_ERROR_POLICY
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# define BOOST_MATH_POLE_ERROR_POLICY errno_on_error
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# endif
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# ifndef BOOST_MATH_OVERFLOW_ERROR_POLICY
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# define BOOST_MATH_OVERFLOW_ERROR_POLICY errno_on_error
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# endif
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# ifndef BOOST_MATH_EVALUATION_ERROR_POLICY
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# define BOOST_MATH_EVALUATION_ERROR_POLICY errno_on_error
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# endif
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# ifndef BOOST_MATH_ROUNDING_ERROR_POLICY
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# define BOOST_MATH_ROUNDING_ERROR_POLICY errno_on_error
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# endif
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#endif
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//
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// Then the regular cases:
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//
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#ifndef BOOST_MATH_DOMAIN_ERROR_POLICY
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#define BOOST_MATH_DOMAIN_ERROR_POLICY throw_on_error
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#endif
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#ifndef BOOST_MATH_POLE_ERROR_POLICY
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#define BOOST_MATH_POLE_ERROR_POLICY throw_on_error
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#endif
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#ifndef BOOST_MATH_OVERFLOW_ERROR_POLICY
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#define BOOST_MATH_OVERFLOW_ERROR_POLICY throw_on_error
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#endif
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#ifndef BOOST_MATH_EVALUATION_ERROR_POLICY
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#define BOOST_MATH_EVALUATION_ERROR_POLICY throw_on_error
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#endif
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#ifndef BOOST_MATH_ROUNDING_ERROR_POLICY
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#define BOOST_MATH_ROUNDING_ERROR_POLICY throw_on_error
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#endif
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#ifndef BOOST_MATH_UNDERFLOW_ERROR_POLICY
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#define BOOST_MATH_UNDERFLOW_ERROR_POLICY ignore_error
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#endif
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#ifndef BOOST_MATH_DENORM_ERROR_POLICY
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#define BOOST_MATH_DENORM_ERROR_POLICY ignore_error
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#endif
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#ifndef BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY
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#define BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY ignore_error
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#endif
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#ifndef BOOST_MATH_DIGITS10_POLICY
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#define BOOST_MATH_DIGITS10_POLICY 0
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#endif
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#ifndef BOOST_MATH_PROMOTE_FLOAT_POLICY
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#define BOOST_MATH_PROMOTE_FLOAT_POLICY true
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#endif
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#ifndef BOOST_MATH_PROMOTE_DOUBLE_POLICY
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#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
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#define BOOST_MATH_PROMOTE_DOUBLE_POLICY false
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#else
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#define BOOST_MATH_PROMOTE_DOUBLE_POLICY true
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#endif
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#endif
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#ifndef BOOST_MATH_DISCRETE_QUANTILE_POLICY
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#define BOOST_MATH_DISCRETE_QUANTILE_POLICY integer_round_outwards
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#endif
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#ifndef BOOST_MATH_ASSERT_UNDEFINED_POLICY
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#define BOOST_MATH_ASSERT_UNDEFINED_POLICY true
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#endif
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#ifndef BOOST_MATH_MAX_SERIES_ITERATION_POLICY
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#define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 1000000
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#endif
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#ifndef BOOST_MATH_MAX_ROOT_ITERATION_POLICY
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#define BOOST_MATH_MAX_ROOT_ITERATION_POLICY 200
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#endif
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#if !defined(__BORLANDC__)
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#define BOOST_MATH_META_INT(type, name, Default)\
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template <type N = Default> struct name : public boost::mpl::int_<N>{};\
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namespace detail{\
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template <type N>\
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char test_is_valid_arg(const name<N>*);\
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char test_is_default_arg(const name<Default>*);\
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template <class T> struct is_##name##_imp\
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{\
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template <type N> static char test(const name<N>*);\
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static double test(...);\
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BOOST_STATIC_CONSTANT(bool, value = sizeof(test(static_cast<T*>(0))) == 1);\
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};\
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}\
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template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>{};
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#define BOOST_MATH_META_BOOL(name, Default)\
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template <bool N = Default> struct name : public boost::mpl::bool_<N>{};\
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namespace detail{\
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template <bool N>\
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char test_is_valid_arg(const name<N>*);\
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char test_is_default_arg(const name<Default>*);\
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template <class T> struct is_##name##_imp\
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{\
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template <bool N> static char test(const name<N>*);\
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static double test(...);\
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BOOST_STATIC_CONSTANT(bool, value = sizeof(test(static_cast<T*>(0))) == 1);\
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};\
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}\
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template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>{};
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#else
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#define BOOST_MATH_META_INT(Type, name, Default)\
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template <Type N = Default> struct name : public boost::mpl::int_<N>{};\
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namespace detail{\
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template <Type N>\
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char test_is_valid_arg(const name<N>*);\
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char test_is_default_arg(const name<Default>*);\
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template <class T> struct is_##name##_tester\
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{\
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template <Type N> static char test(const name<N>&);\
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static double test(...);\
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};\
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template <class T> struct is_##name##_imp\
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{\
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static T inst;\
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BOOST_STATIC_CONSTANT(bool, value = sizeof( ::boost::math::policies::detail::is_##name##_tester<T>::test(inst)) == 1);\
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};\
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}\
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template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>\
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{\
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template <class U> struct apply{ typedef is_##name<U> type; };\
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};
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#define BOOST_MATH_META_BOOL(name, Default)\
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template <bool N = Default> struct name : public boost::mpl::bool_<N>{};\
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namespace detail{\
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template <bool N>\
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char test_is_valid_arg(const name<N>*);\
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char test_is_default_arg(const name<Default>*);\
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template <class T> struct is_##name##_tester\
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{\
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template <bool N> static char test(const name<N>&);\
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static double test(...);\
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};\
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template <class T> struct is_##name##_imp\
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{\
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static T inst;\
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BOOST_STATIC_CONSTANT(bool, value = sizeof( ::boost::math::policies::detail::is_##name##_tester<T>::test(inst)) == 1);\
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};\
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}\
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template <class T> struct is_##name : public boost::mpl::bool_< ::boost::math::policies::detail::is_##name##_imp<T>::value>\
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{\
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template <class U> struct apply{ typedef is_##name<U> type; };\
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};
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#endif
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//
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// Begin by defining policy types for error handling:
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//
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enum error_policy_type
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{
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throw_on_error = 0,
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errno_on_error = 1,
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ignore_error = 2,
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user_error = 3
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};
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BOOST_MATH_META_INT(error_policy_type, domain_error, BOOST_MATH_DOMAIN_ERROR_POLICY)
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BOOST_MATH_META_INT(error_policy_type, pole_error, BOOST_MATH_POLE_ERROR_POLICY)
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BOOST_MATH_META_INT(error_policy_type, overflow_error, BOOST_MATH_OVERFLOW_ERROR_POLICY)
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BOOST_MATH_META_INT(error_policy_type, underflow_error, BOOST_MATH_UNDERFLOW_ERROR_POLICY)
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BOOST_MATH_META_INT(error_policy_type, denorm_error, BOOST_MATH_DENORM_ERROR_POLICY)
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BOOST_MATH_META_INT(error_policy_type, evaluation_error, BOOST_MATH_EVALUATION_ERROR_POLICY)
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BOOST_MATH_META_INT(error_policy_type, rounding_error, BOOST_MATH_ROUNDING_ERROR_POLICY)
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BOOST_MATH_META_INT(error_policy_type, indeterminate_result_error, BOOST_MATH_INDETERMINATE_RESULT_ERROR_POLICY)
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//
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// Policy types for internal promotion:
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//
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BOOST_MATH_META_BOOL(promote_float, BOOST_MATH_PROMOTE_FLOAT_POLICY)
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BOOST_MATH_META_BOOL(promote_double, BOOST_MATH_PROMOTE_DOUBLE_POLICY)
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BOOST_MATH_META_BOOL(assert_undefined, BOOST_MATH_ASSERT_UNDEFINED_POLICY)
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//
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// Policy types for discrete quantiles:
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//
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enum discrete_quantile_policy_type
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{
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real,
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integer_round_outwards,
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integer_round_inwards,
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integer_round_down,
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integer_round_up,
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integer_round_nearest
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};
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BOOST_MATH_META_INT(discrete_quantile_policy_type, discrete_quantile, BOOST_MATH_DISCRETE_QUANTILE_POLICY)
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//
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// Precision:
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//
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BOOST_MATH_META_INT(int, digits10, BOOST_MATH_DIGITS10_POLICY)
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BOOST_MATH_META_INT(int, digits2, 0)
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//
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// Iterations:
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//
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BOOST_MATH_META_INT(unsigned long, max_series_iterations, BOOST_MATH_MAX_SERIES_ITERATION_POLICY)
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BOOST_MATH_META_INT(unsigned long, max_root_iterations, BOOST_MATH_MAX_ROOT_ITERATION_POLICY)
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//
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// Define the names for each possible policy:
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//
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#define BOOST_MATH_PARAMETER(name)\
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BOOST_PARAMETER_TEMPLATE_KEYWORD(name##_name)\
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BOOST_PARAMETER_NAME(name##_name)
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struct default_policy{};
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namespace detail{
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//
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// Trait to work out bits precision from digits10 and digits2:
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//
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template <class Digits10, class Digits2>
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struct precision
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{
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//
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// Now work out the precision:
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//
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typedef typename mpl::if_c<
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(Digits10::value == 0),
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digits2<0>,
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digits2<((Digits10::value + 1) * 1000L) / 301L>
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>::type digits2_type;
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public:
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#ifdef __BORLANDC__
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typedef typename mpl::if_c<
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(Digits2::value > ::boost::math::policies::detail::precision<Digits10,Digits2>::digits2_type::value),
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Digits2, digits2_type>::type type;
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#else
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typedef typename mpl::if_c<
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(Digits2::value > digits2_type::value),
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Digits2, digits2_type>::type type;
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#endif
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};
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template <class A, class B, bool b>
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struct select_result
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{
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typedef A type;
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};
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template <class A, class B>
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struct select_result<A, B, false>
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{
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typedef typename mpl::deref<B>::type type;
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};
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template <class Seq, class Pred, class DefaultType>
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struct find_arg
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{
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private:
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typedef typename mpl::find_if<Seq, Pred>::type iter;
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typedef typename mpl::end<Seq>::type end_type;
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public:
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typedef typename select_result<
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DefaultType, iter,
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::boost::is_same<iter, end_type>::value>::type type;
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};
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double test_is_valid_arg(...);
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double test_is_default_arg(...);
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char test_is_valid_arg(const default_policy*);
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char test_is_default_arg(const default_policy*);
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template <class T>
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struct is_valid_policy_imp
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{
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BOOST_STATIC_CONSTANT(bool, value = sizeof(::boost::math::policies::detail::test_is_valid_arg(static_cast<T*>(0))) == 1);
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};
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template <class T>
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struct is_default_policy_imp
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{
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BOOST_STATIC_CONSTANT(bool, value = sizeof(::boost::math::policies::detail::test_is_default_arg(static_cast<T*>(0))) == 1);
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};
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template <class T> struct is_valid_policy
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: public mpl::bool_<
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::boost::math::policies::detail::is_valid_policy_imp<T>::value>
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{};
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template <class T> struct is_default_policy
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: public mpl::bool_<
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::boost::math::policies::detail::is_default_policy_imp<T>::value>
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{
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template <class U>
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struct apply
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{
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typedef is_default_policy<U> type;
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};
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};
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template <class Seq, class T, int N>
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struct append_N
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{
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typedef typename mpl::push_back<Seq, T>::type new_seq;
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typedef typename append_N<new_seq, T, N-1>::type type;
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};
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template <class Seq, class T>
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struct append_N<Seq, T, 0>
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{
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typedef Seq type;
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};
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//
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// Traits class to work out what template parameters our default
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// policy<> class will have when modified for forwarding:
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//
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template <bool f, bool d>
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struct default_args
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{
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typedef promote_float<false> arg1;
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typedef promote_double<false> arg2;
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};
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template <>
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struct default_args<false, false>
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{
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typedef default_policy arg1;
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typedef default_policy arg2;
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};
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template <>
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struct default_args<true, false>
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{
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typedef promote_float<false> arg1;
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typedef default_policy arg2;
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};
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template <>
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struct default_args<false, true>
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{
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typedef promote_double<false> arg1;
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typedef default_policy arg2;
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};
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typedef default_args<BOOST_MATH_PROMOTE_FLOAT_POLICY, BOOST_MATH_PROMOTE_DOUBLE_POLICY>::arg1 forwarding_arg1;
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typedef default_args<BOOST_MATH_PROMOTE_FLOAT_POLICY, BOOST_MATH_PROMOTE_DOUBLE_POLICY>::arg2 forwarding_arg2;
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} // detail
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//
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// Now define the policy type with enough arguments to handle all
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// the policies:
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//
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template <class A1 = default_policy,
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class A2 = default_policy,
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class A3 = default_policy,
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class A4 = default_policy,
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class A5 = default_policy,
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class A6 = default_policy,
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class A7 = default_policy,
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class A8 = default_policy,
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class A9 = default_policy,
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class A10 = default_policy,
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class A11 = default_policy,
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class A12 = default_policy,
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class A13 = default_policy>
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struct policy
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{
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private:
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//
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// Validate all our arguments:
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//
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A1>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A2>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A3>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A4>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A5>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A6>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A7>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A8>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A9>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A10>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A11>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A12>::value);
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BOOST_STATIC_ASSERT(::boost::math::policies::detail::is_valid_policy<A13>::value);
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//
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// Typelist of the arguments:
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//
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typedef mpl::list<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11,A12,A13> arg_list;
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public:
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typedef typename detail::find_arg<arg_list, is_domain_error<mpl::_1>, domain_error<> >::type domain_error_type;
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typedef typename detail::find_arg<arg_list, is_pole_error<mpl::_1>, pole_error<> >::type pole_error_type;
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typedef typename detail::find_arg<arg_list, is_overflow_error<mpl::_1>, overflow_error<> >::type overflow_error_type;
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typedef typename detail::find_arg<arg_list, is_underflow_error<mpl::_1>, underflow_error<> >::type underflow_error_type;
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typedef typename detail::find_arg<arg_list, is_denorm_error<mpl::_1>, denorm_error<> >::type denorm_error_type;
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typedef typename detail::find_arg<arg_list, is_evaluation_error<mpl::_1>, evaluation_error<> >::type evaluation_error_type;
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typedef typename detail::find_arg<arg_list, is_rounding_error<mpl::_1>, rounding_error<> >::type rounding_error_type;
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typedef typename detail::find_arg<arg_list, is_indeterminate_result_error<mpl::_1>, indeterminate_result_error<> >::type indeterminate_result_error_type;
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private:
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//
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// Now work out the precision:
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//
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typedef typename detail::find_arg<arg_list, is_digits10<mpl::_1>, digits10<> >::type digits10_type;
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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 BOOST_MATH_CONSTEXPR policy<> make_policy() BOOST_NOEXCEPT
|
|
{ return policy<>(); }
|
|
|
|
template <class A1>
|
|
inline BOOST_MATH_CONSTEXPR typename normalise<policy<>, A1>::type make_policy(const A1&) BOOST_NOEXCEPT
|
|
{
|
|
typedef typename normalise<policy<>, A1>::type result_type;
|
|
return result_type();
|
|
}
|
|
|
|
template <class A1, class A2>
|
|
inline BOOST_MATH_CONSTEXPR typename normalise<policy<>, A1, A2>::type make_policy(const A1&, const A2&) BOOST_NOEXCEPT
|
|
{
|
|
typedef typename normalise<policy<>, A1, A2>::type result_type;
|
|
return result_type();
|
|
}
|
|
|
|
template <class A1, class A2, class A3>
|
|
inline BOOST_MATH_CONSTEXPR typename normalise<policy<>, A1, A2, A3>::type make_policy(const A1&, const A2&, const A3&) BOOST_NOEXCEPT
|
|
{
|
|
typedef typename normalise<policy<>, A1, A2, A3>::type result_type;
|
|
return result_type();
|
|
}
|
|
|
|
template <class A1, class A2, class A3, class A4>
|
|
inline BOOST_MATH_CONSTEXPR typename normalise<policy<>, A1, A2, A3, A4>::type make_policy(const A1&, const A2&, const A3&, const A4&) BOOST_NOEXCEPT
|
|
{
|
|
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 BOOST_MATH_CONSTEXPR typename normalise<policy<>, A1, A2, A3, A4, A5>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&) BOOST_NOEXCEPT
|
|
{
|
|
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 BOOST_MATH_CONSTEXPR typename normalise<policy<>, A1, A2, A3, A4, A5, A6>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&) BOOST_NOEXCEPT
|
|
{
|
|
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 BOOST_MATH_CONSTEXPR 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&) BOOST_NOEXCEPT
|
|
{
|
|
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 BOOST_MATH_CONSTEXPR 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&) BOOST_NOEXCEPT
|
|
{
|
|
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 BOOST_MATH_CONSTEXPR 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&) BOOST_NOEXCEPT
|
|
{
|
|
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 BOOST_MATH_CONSTEXPR 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&) BOOST_NOEXCEPT
|
|
{
|
|
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 BOOST_MATH_CONSTEXPR 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&) BOOST_NOEXCEPT
|
|
{
|
|
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
|
|
|
|
#ifdef BOOST_MATH_USE_FLOAT128
|
|
|
|
template <class Policy>
|
|
struct precision<BOOST_MATH_FLOAT128_TYPE, Policy>
|
|
{
|
|
typedef mpl::int_<113> type;
|
|
};
|
|
|
|
#endif
|
|
|
|
namespace detail{
|
|
|
|
template <class T, class Policy>
|
|
inline BOOST_MATH_CONSTEXPR int digits_imp(mpl::true_ const&) BOOST_NOEXCEPT
|
|
{
|
|
#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 BOOST_MATH_CONSTEXPR int digits_imp(mpl::false_ const&) BOOST_NOEXCEPT
|
|
{
|
|
return tools::digits<T>();
|
|
}
|
|
|
|
} // namespace detail
|
|
|
|
template <class T, class Policy>
|
|
inline BOOST_MATH_CONSTEXPR int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) BOOST_NOEXCEPT
|
|
{
|
|
typedef mpl::bool_< std::numeric_limits<T>::is_specialized > tag_type;
|
|
return detail::digits_imp<T, Policy>(tag_type());
|
|
}
|
|
template <class T, class Policy>
|
|
inline BOOST_MATH_CONSTEXPR int digits_base10(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) BOOST_NOEXCEPT
|
|
{
|
|
return boost::math::policies::digits<T, Policy>() * 301 / 1000L;
|
|
}
|
|
|
|
template <class Policy>
|
|
inline BOOST_MATH_CONSTEXPR unsigned long get_max_series_iterations() BOOST_NOEXCEPT
|
|
{
|
|
typedef typename Policy::max_series_iterations_type iter_type;
|
|
return iter_type::value;
|
|
}
|
|
|
|
template <class Policy>
|
|
inline BOOST_MATH_CONSTEXPR unsigned long get_max_root_iterations() BOOST_NOEXCEPT
|
|
{
|
|
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() BOOST_MATH_NOEXCEPT(T)
|
|
{
|
|
return ldexp(T(1.0), 1 - Digits::value);
|
|
}
|
|
};
|
|
|
|
template <class T, class Digits>
|
|
struct series_factor_calc<T, Digits, mpl::true_, mpl::true_>
|
|
{
|
|
static BOOST_MATH_CONSTEXPR T get() BOOST_MATH_NOEXCEPT(T)
|
|
{
|
|
return boost::math::tools::epsilon<T>();
|
|
}
|
|
};
|
|
template <class T, class Digits>
|
|
struct series_factor_calc<T, Digits, mpl::true_, mpl::false_>
|
|
{
|
|
static BOOST_MATH_CONSTEXPR T get() BOOST_MATH_NOEXCEPT(T)
|
|
{
|
|
return 1 / static_cast<T>(static_cast<boost::uintmax_t>(1u) << (Digits::value - 1));
|
|
}
|
|
};
|
|
template <class T, class Digits>
|
|
struct series_factor_calc<T, Digits, mpl::false_, mpl::true_>
|
|
{
|
|
static BOOST_MATH_CONSTEXPR T get() BOOST_MATH_NOEXCEPT(T)
|
|
{
|
|
return boost::math::tools::epsilon<T>();
|
|
}
|
|
};
|
|
|
|
template <class T, class Policy>
|
|
inline BOOST_MATH_CONSTEXPR T get_epsilon_imp(mpl::true_ const&) BOOST_MATH_NOEXCEPT(T)
|
|
{
|
|
#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 BOOST_MATH_CONSTEXPR T get_epsilon_imp(mpl::false_ const&) BOOST_MATH_NOEXCEPT(T)
|
|
{
|
|
return tools::epsilon<T>();
|
|
}
|
|
|
|
} // namespace detail
|
|
|
|
template <class T, class Policy>
|
|
inline BOOST_MATH_CONSTEXPR T get_epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) BOOST_MATH_NOEXCEPT(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) || (domain_error_type::value == errno_on_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;
|
|
};
|
|
//
|
|
// Does the Policy ever throw on error?
|
|
//
|
|
template <class Policy>
|
|
struct is_noexcept_error_policy
|
|
{
|
|
typedef typename Policy::domain_error_type t1;
|
|
typedef typename Policy::pole_error_type t2;
|
|
typedef typename Policy::overflow_error_type t3;
|
|
typedef typename Policy::underflow_error_type t4;
|
|
typedef typename Policy::denorm_error_type t5;
|
|
typedef typename Policy::evaluation_error_type t6;
|
|
typedef typename Policy::rounding_error_type t7;
|
|
typedef typename Policy::indeterminate_result_error_type t8;
|
|
|
|
BOOST_STATIC_CONSTANT(bool, value =
|
|
((t1::value != throw_on_error) && (t1::value != user_error)
|
|
&& (t2::value != throw_on_error) && (t2::value != user_error)
|
|
&& (t3::value != throw_on_error) && (t3::value != user_error)
|
|
&& (t4::value != throw_on_error) && (t4::value != user_error)
|
|
&& (t5::value != throw_on_error) && (t5::value != user_error)
|
|
&& (t6::value != throw_on_error) && (t6::value != user_error)
|
|
&& (t7::value != throw_on_error) && (t7::value != user_error)
|
|
&& (t8::value != throw_on_error) && (t8::value != user_error)));
|
|
};
|
|
|
|
}}} // namespaces
|
|
|
|
#endif // BOOST_MATH_POLICY_HPP
|
|
|