///////////////////////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#ifndef BOOST_MATH_BIG_NUM_BASE_HPP
#define BOOST_MATH_BIG_NUM_BASE_HPP
#include <limits>
#include <type_traits>
#include <boost/core/nvp.hpp>
#include <boost/math/tools/complex.hpp>
#include <boost/multiprecision/traits/transcendental_reduction_type.hpp>
#include <boost/multiprecision/traits/std_integer_traits.hpp>
#ifdef BOOST_MSVC
#pragma warning(push)
#pragma warning(disable : 4307)
#endif
#include <boost/lexical_cast.hpp>
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
//
// We now require C++11, if something we use is not supported, then error and say why:
//
#ifdef BOOST_NO_CXX11_RVALUE_REFERENCES
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_RVALUE_REFERENCES being set"
#endif
#ifdef BOOST_NO_CXX11_TEMPLATE_ALIASES
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_TEMPLATE_ALIASES being set"
#endif
#ifdef BOOST_NO_CXX11_HDR_ARRAY
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_HDR_ARRAY being set"
#endif
#ifdef BOOST_NO_CXX11_HDR_TYPE_TRAITS
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_HDR_TYPE_TRAITS being set"
#endif
#ifdef BOOST_NO_CXX11_ALLOCATOR
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_ALLOCATOR being set"
#endif
#ifdef BOOST_NO_CXX11_CONSTEXPR
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_CONSTEXPR being set"
#endif
#ifdef BOOST_MP_NO_CXX11_EXPLICIT_CONVERSION_OPERATORS
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_MP_NO_CXX11_EXPLICIT_CONVERSION_OPERATORS being set"
#endif
#ifdef BOOST_NO_CXX11_REF_QUALIFIERS
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_REF_QUALIFIERS being set"
#endif
#ifdef BOOST_NO_CXX11_HDR_FUNCTIONAL
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_HDR_FUNCTIONAL being set"
#endif
#ifdef BOOST_NO_CXX11_VARIADIC_TEMPLATES
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_VARIADIC_TEMPLATES being set"
#endif
#ifdef BOOST_NO_CXX11_USER_DEFINED_LITERALS
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_USER_DEFINED_LITERALS being set"
#endif
#ifdef BOOST_NO_CXX11_DECLTYPE
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_DECLTYPE being set"
#endif
#ifdef BOOST_NO_CXX11_STATIC_ASSERT
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_STATIC_ASSERT being set"
#endif
#ifdef BOOST_NO_CXX11_DEFAULTED_FUNCTIONS
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_DEFAULTED_FUNCTIONS being set"
#endif
#ifdef BOOST_NO_CXX11_NOEXCEPT
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_NOEXCEPT being set"
#endif
#ifdef BOOST_NO_CXX11_REF_QUALIFIERS
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_REF_QUALIFIERS being set"
#endif
#ifdef BOOST_NO_CXX11_USER_DEFINED_LITERALS
#error "This library now requires a C++11 or later compiler - this message was generated as a result of BOOST_NO_CXX11_USER_DEFINED_LITERALS being set"
#endif
#if defined(NDEBUG) && !defined(_DEBUG)
#define BOOST_MP_FORCEINLINE BOOST_FORCEINLINE
#else
#define BOOST_MP_FORCEINLINE inline
#endif
//
// Thread local storage:
// Note fails on Mingw, see https://sourceforge.net/p/mingw-w64/bugs/527/
//
#if !defined(BOOST_NO_CXX11_THREAD_LOCAL) && !(defined(__MINGW32__) && (__GNUC__ < 9) && !defined(__clang__))
#define BOOST_MP_THREAD_LOCAL thread_local
#define BOOST_MP_USING_THREAD_LOCAL
#else
#pragma GCC warning "thread_local on mingw is broken, please use MSys mingw gcc-9 or later, see https://sourceforge.net/p/mingw-w64/bugs/527/"
#define BOOST_MP_THREAD_LOCAL
#endif
#ifdef __has_include
# if __has_include(<version>)
# include <version>
# ifdef __cpp_lib_is_constant_evaluated
# include <type_traits>
# define BOOST_MP_HAS_IS_CONSTANT_EVALUATED
# endif
# endif
#endif
#ifdef __has_builtin
#if __has_builtin(__builtin_is_constant_evaluated) && !defined(BOOST_NO_CXX14_CONSTEXPR) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX)
#define BOOST_MP_HAS_BUILTIN_IS_CONSTANT_EVALUATED
#endif
#endif
//
// MSVC also supports __builtin_is_constant_evaluated if it's recent enough:
//
#if defined(_MSC_FULL_VER) && (_MSC_FULL_VER >= 192528326)
# define BOOST_MP_HAS_BUILTIN_IS_CONSTANT_EVALUATED
#endif
//
// As does GCC-9:
//
#if defined(BOOST_GCC) && !defined(BOOST_NO_CXX14_CONSTEXPR) && (__GNUC__ >= 9) && !defined(BOOST_MP_HAS_BUILTIN_IS_CONSTANT_EVALUATED)
# define BOOST_MP_HAS_BUILTIN_IS_CONSTANT_EVALUATED
#endif
#if defined(BOOST_MP_HAS_IS_CONSTANT_EVALUATED) && !defined(BOOST_NO_CXX14_CONSTEXPR)
# define BOOST_MP_IS_CONST_EVALUATED(x) std::is_constant_evaluated()
#elif defined(BOOST_MP_HAS_BUILTIN_IS_CONSTANT_EVALUATED)
# define BOOST_MP_IS_CONST_EVALUATED(x) __builtin_is_constant_evaluated()
#elif !defined(BOOST_NO_CXX14_CONSTEXPR) && defined(BOOST_GCC) && (__GNUC__ >= 6)
# define BOOST_MP_IS_CONST_EVALUATED(x) __builtin_constant_p(x)
#else
# define BOOST_MP_NO_CONSTEXPR_DETECTION
#endif
#define BOOST_MP_CXX14_CONSTEXPR BOOST_CXX14_CONSTEXPR
//
// Early compiler versions trip over the constexpr code:
//
#if defined(__clang__) && (__clang_major__ < 5)
#undef BOOST_MP_CXX14_CONSTEXPR
#define BOOST_MP_CXX14_CONSTEXPR
#endif
#if defined(__apple_build_version__) && (__clang_major__ < 9)
#undef BOOST_MP_CXX14_CONSTEXPR
#define BOOST_MP_CXX14_CONSTEXPR
#endif
#if defined(BOOST_GCC) && (__GNUC__ < 6)
#undef BOOST_MP_CXX14_CONSTEXPR
#define BOOST_MP_CXX14_CONSTEXPR
#endif
#if defined(BOOST_INTEL)
#undef BOOST_MP_CXX14_CONSTEXPR
#define BOOST_MP_CXX14_CONSTEXPR
#define BOOST_MP_NO_CONSTEXPR_DETECTION
#endif
#ifdef BOOST_MP_NO_CONSTEXPR_DETECTION
# define BOOST_CXX14_CONSTEXPR_IF_DETECTION
#else
# define BOOST_CXX14_CONSTEXPR_IF_DETECTION constexpr
#endif
#ifdef BOOST_MSVC
#pragma warning(push)
#pragma warning(disable : 6326)
#endif
namespace boost {
namespace multiprecision {
enum expression_template_option
{
et_off = 0,
et_on = 1
};
template <class Backend>
struct expression_template_default
{
static constexpr const expression_template_option value = et_on;
};
template <class Backend, expression_template_option ExpressionTemplates = expression_template_default<Backend>::value>
class number;
template <class T>
struct is_number : public std::integral_constant<bool, false>
{};
template <class Backend, expression_template_option ExpressionTemplates>
struct is_number<number<Backend, ExpressionTemplates> > : public std::integral_constant<bool, true>
{};
template <class T>
struct is_et_number : public std::integral_constant<bool, false>
{};
template <class Backend>
struct is_et_number<number<Backend, et_on> > : public std::integral_constant<bool, true>
{};
template <class T>
struct is_no_et_number : public std::integral_constant<bool, false>
{};
template <class Backend>
struct is_no_et_number<number<Backend, et_off> > : public std::integral_constant<bool, true>
{};
namespace detail {
// Forward-declare an expression wrapper
template <class tag, class Arg1 = void, class Arg2 = void, class Arg3 = void, class Arg4 = void>
struct expression;
} // namespace detail
template <class T>
struct is_number_expression : public std::integral_constant<bool, false>
{};
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
struct is_number_expression<detail::expression<tag, Arg1, Arg2, Arg3, Arg4> > : public std::integral_constant<bool, true>
{};
template <class T, class Num>
struct is_compatible_arithmetic_type
: public std::integral_constant<bool,
std::is_convertible<T, Num>::value && !std::is_same<T, Num>::value && !is_number_expression<T>::value>
{};
namespace detail {
//
// Workaround for missing abs(boost::long_long_type) and abs(__int128) on some compilers:
//
template <class T>
constexpr typename std::enable_if<(boost::multiprecision::detail::is_signed<T>::value || std::is_floating_point<T>::value), T>::type abs(T t) noexcept
{
// This strange expression avoids a hardware trap in the corner case
// that val is the most negative value permitted in boost::long_long_type.
// See https://svn.boost.org/trac/boost/ticket/9740.
return t < 0 ? T(1u) + T(-(t + 1)) : t;
}
template <class T>
constexpr typename std::enable_if<boost::multiprecision::detail::is_unsigned<T>::value, T>::type abs(T t) noexcept
{
return t;
}
#define BOOST_MP_USING_ABS using boost::multiprecision::detail::abs;
template <class T>
constexpr typename std::enable_if<(boost::multiprecision::detail::is_signed<T>::value || std::is_floating_point<T>::value), typename boost::multiprecision::detail::make_unsigned<T>::type>::type unsigned_abs(T t) noexcept
{
// This strange expression avoids a hardware trap in the corner case
// that val is the most negative value permitted in boost::long_long_type.
// See https://svn.boost.org/trac/boost/ticket/9740.
return t < 0 ? static_cast<typename boost::multiprecision::detail::make_unsigned<T>::type>(1u) + static_cast<typename boost::multiprecision::detail::make_unsigned<T>::type>(-(t + 1)) : static_cast<typename boost::multiprecision::detail::make_unsigned<T>::type>(t);
}
template <class T>
constexpr typename std::enable_if<boost::multiprecision::detail::is_unsigned<T>::value, T>::type unsigned_abs(T t) noexcept
{
return t;
}
template <class T>
struct bits_of
{
static_assert(boost::multiprecision::detail::is_integral<T>::value || std::is_enum<T>::value || std::numeric_limits<T>::is_specialized, "Failed integer size check");
static constexpr const unsigned value =
std::numeric_limits<T>::is_specialized ? std::numeric_limits<T>::digits
: sizeof(T) * CHAR_BIT - (boost::multiprecision::detail::is_signed<T>::value ? 1 : 0);
};
#if defined(_GLIBCXX_USE_FLOAT128) && defined(BOOST_GCC) && !defined(__STRICT_ANSI__)
#define BOOST_MP_BITS_OF_FLOAT128_DEFINED
template <>
struct bits_of<__float128>
{
static constexpr const unsigned value = 113;
};
#endif
template <int b>
struct has_enough_bits
{
template <class T>
struct type : public std::integral_constant<bool, bits_of<T>::value >= b>
{};
};
template <class Tuple, int i, int digits, bool = (i >= std::tuple_size<Tuple>::value)>
struct find_index_of_large_enough_type
{
static constexpr int value = bits_of<typename std::tuple_element<i, Tuple>::type>::value >= digits ? i : find_index_of_large_enough_type<Tuple, i + 1, digits>::value;
};
template <class Tuple, int i, int digits>
struct find_index_of_large_enough_type<Tuple, i, digits, true>
{
static constexpr int value = INT_MAX;
};
template <int index, class Tuple, class Fallback, bool = (std::tuple_size<Tuple>::value <= index)>
struct dereference_tuple
{
using type = typename std::tuple_element<index, Tuple>::type;
};
template <int index, class Tuple, class Fallback>
struct dereference_tuple<index, Tuple, Fallback, true>
{
using type = Fallback;
};
template <class Val, class Backend, class Tag>
struct canonical_imp
{
using type = typename std::remove_cv<typename std::decay<const Val>::type>::type;
};
template <class B, class Backend, class Tag>
struct canonical_imp<number<B, et_on>, Backend, Tag>
{
using type = B;
};
template <class B, class Backend, class Tag>
struct canonical_imp<number<B, et_off>, Backend, Tag>
{
using type = B;
};
#ifdef __SUNPRO_CC
template <class B, class Backend>
struct canonical_imp<number<B, et_on>, Backend, std::integral_constant<int, 3> >
{
using type = B;
};
template <class B, class Backend>
struct canonical_imp<number<B, et_off>, Backend, std::integral_constant<int, 3> >
{
using type = B;
};
#endif
template <class Val, class Backend>
struct canonical_imp<Val, Backend, std::integral_constant<int, 0> >
{
static constexpr int index = find_index_of_large_enough_type<typename Backend::signed_types, 0, bits_of<Val>::value>::value;
using type = typename dereference_tuple<index, typename Backend::signed_types, Val>::type;
};
template <class Val, class Backend>
struct canonical_imp<Val, Backend, std::integral_constant<int, 1> >
{
static constexpr int index = find_index_of_large_enough_type<typename Backend::unsigned_types, 0, bits_of<Val>::value>::value;
using type = typename dereference_tuple<index, typename Backend::unsigned_types, Val>::type;
};
template <class Val, class Backend>
struct canonical_imp<Val, Backend, std::integral_constant<int, 2> >
{
static constexpr int index = find_index_of_large_enough_type<typename Backend::float_types, 0, bits_of<Val>::value>::value;
using type = typename dereference_tuple<index, typename Backend::float_types, Val>::type;
};
template <class Val, class Backend>
struct canonical_imp<Val, Backend, std::integral_constant<int, 3> >
{
using type = const char*;
};
template <class Val, class Backend>
struct canonical
{
using tag_type = typename std::conditional<
boost::multiprecision::detail::is_signed<Val>::value && boost::multiprecision::detail::is_integral<Val>::value,
std::integral_constant<int, 0>,
typename std::conditional<
boost::multiprecision::detail::is_unsigned<Val>::value,
std::integral_constant<int, 1>,
typename std::conditional<
std::is_floating_point<Val>::value,
std::integral_constant<int, 2>,
typename std::conditional<
(std::is_convertible<Val, const char*>::value || std::is_same<Val, std::string>::value),
std::integral_constant<int, 3>,
std::integral_constant<int, 4> >::type>::type>::type>::type;
using type = typename canonical_imp<Val, Backend, tag_type>::type;
};
struct terminal
{};
struct negate
{};
struct plus
{};
struct minus
{};
struct multiplies
{};
struct divides
{};
struct modulus
{};
struct shift_left
{};
struct shift_right
{};
struct bitwise_and
{};
struct bitwise_or
{};
struct bitwise_xor
{};
struct bitwise_complement
{};
struct add_immediates
{};
struct subtract_immediates
{};
struct multiply_immediates
{};
struct divide_immediates
{};
struct modulus_immediates
{};
struct bitwise_and_immediates
{};
struct bitwise_or_immediates
{};
struct bitwise_xor_immediates
{};
struct complement_immediates
{};
struct function
{};
struct multiply_add
{};
struct multiply_subtract
{};
template <class T>
struct backend_type;
template <class T, expression_template_option ExpressionTemplates>
struct backend_type<number<T, ExpressionTemplates> >
{
using type = T;
};
template <class tag, class A1, class A2, class A3, class A4>
struct backend_type<expression<tag, A1, A2, A3, A4> >
{
using type = typename backend_type<typename expression<tag, A1, A2, A3, A4>::result_type>::type;
};
template <class T1, class T2>
struct combine_expression
{
using type = decltype(T1() + T2());
};
template <class T1, expression_template_option ExpressionTemplates, class T2>
struct combine_expression<number<T1, ExpressionTemplates>, T2>
{
using type = number<T1, ExpressionTemplates>;
};
template <class T1, class T2, expression_template_option ExpressionTemplates>
struct combine_expression<T1, number<T2, ExpressionTemplates> >
{
using type = number<T2, ExpressionTemplates>;
};
template <class T, expression_template_option ExpressionTemplates>
struct combine_expression<number<T, ExpressionTemplates>, number<T, ExpressionTemplates> >
{
using type = number<T, ExpressionTemplates>;
};
template <class T1, expression_template_option ExpressionTemplates1, class T2, expression_template_option ExpressionTemplates2>
struct combine_expression<number<T1, ExpressionTemplates1>, number<T2, ExpressionTemplates2> >
{
using type = typename std::conditional<
std::is_convertible<number<T2, ExpressionTemplates2>, number<T1, ExpressionTemplates2> >::value,
number<T1, ExpressionTemplates1>,
number<T2, ExpressionTemplates2> >::type;
};
template <class T>
struct arg_type
{
using type = expression<terminal, T>;
};
template <class Tag, class Arg1, class Arg2, class Arg3, class Arg4>
struct arg_type<expression<Tag, Arg1, Arg2, Arg3, Arg4> >
{
using type = expression<Tag, Arg1, Arg2, Arg3, Arg4>;
};
struct unmentionable
{
unmentionable* proc() { return 0; }
};
typedef unmentionable* (unmentionable::*unmentionable_type)();
template <class T, bool b>
struct expression_storage_base
{
using type = const T&;
};
template <class T>
struct expression_storage_base<T, true>
{
using type = T;
};
template <class T>
struct expression_storage : public expression_storage_base<T, boost::multiprecision::detail::is_arithmetic<T>::value>
{};
template <class T>
struct expression_storage<T*>
{
using type = T*;
};
template <class T>
struct expression_storage<const T*>
{
using type = const T*;
};
template <class tag, class A1, class A2, class A3, class A4>
struct expression_storage<expression<tag, A1, A2, A3, A4> >
{
using type = expression<tag, A1, A2, A3, A4>;
};
template <class tag, class Arg1>
struct expression<tag, Arg1, void, void, void>
{
using arity = std::integral_constant<int, 1> ;
using left_type = typename arg_type<Arg1>::type ;
using left_result_type = typename left_type::result_type;
using result_type = typename left_type::result_type;
using tag_type = tag ;
explicit BOOST_MP_CXX14_CONSTEXPR expression(const Arg1& a) : arg(a) {}
BOOST_MP_CXX14_CONSTEXPR expression(const expression& e) : arg(e.arg) {}
//
// If we have static_assert we can give a more useful error message
// than if we simply have no operator defined at all:
//
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not assign to a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator++()
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not increment a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator++(int)
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not increment a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator--()
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not decrement a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator--(int)
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not decrement a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator+=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator+= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator-=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator-= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator*=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator*= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator/=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator/= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator%=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator%= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator|=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator|= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator&=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator&= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator^=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator^= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator<<=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator<<= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator>>=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator>>= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR left_type left() const
{
return left_type(arg);
}
BOOST_MP_CXX14_CONSTEXPR const Arg1& left_ref() const noexcept { return arg; }
static constexpr const unsigned depth = left_type::depth + 1;
template <class T
#ifndef __SUNPRO_CC
,
typename std::enable_if<!is_number<T>::value && !std::is_convertible<result_type, T const&>::value && std::is_constructible<T, result_type>::value, int>::type = 0
#endif
>
explicit BOOST_MP_CXX14_CONSTEXPR operator T() const
{
return static_cast<T>(static_cast<result_type>(*this));
}
BOOST_MP_FORCEINLINE explicit BOOST_MP_CXX14_CONSTEXPR operator bool() const
{
result_type r(*this);
return static_cast<bool>(r);
}
template <class T>
BOOST_MP_CXX14_CONSTEXPR T convert_to()
{
result_type r(*this);
return r.template convert_to<T>();
}
private:
typename expression_storage<Arg1>::type arg;
expression& operator=(const expression&);
};
template <class Arg1>
struct expression<terminal, Arg1, void, void, void>
{
using arity = std::integral_constant<int, 0>;
using result_type = Arg1 ;
using tag_type = terminal ;
explicit BOOST_MP_CXX14_CONSTEXPR expression(const Arg1& a) : arg(a) {}
BOOST_MP_CXX14_CONSTEXPR expression(const expression& e) : arg(e.arg) {}
//
// If we have static_assert we can give a more useful error message
// than if we simply have no operator defined at all:
//
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not assign to a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator++()
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not increment a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator++(int)
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not increment a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator--()
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not decrement a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator--(int)
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not decrement a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator+=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator+= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator-=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator-= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator*=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator*= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator/=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator/= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator%=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator%= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator|=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator|= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator&=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator&= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator^=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator^= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator<<=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator<<= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator>>=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator>>= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR const Arg1& value() const noexcept
{
return arg;
}
static constexpr const unsigned depth = 0;
template <class T
#ifndef __SUNPRO_CC
,
typename std::enable_if<!is_number<T>::value && !std::is_convertible<result_type, T const&>::value && std::is_constructible<T, result_type>::value, int>::type = 0
#endif
>
explicit BOOST_MP_CXX14_CONSTEXPR operator T() const
{
return static_cast<T>(static_cast<result_type>(*this));
}
BOOST_MP_FORCEINLINE explicit BOOST_MP_CXX14_CONSTEXPR operator bool() const
{
result_type r(*this);
return static_cast<bool>(r);
}
template <class T>
BOOST_MP_CXX14_CONSTEXPR T convert_to()
{
result_type r(*this);
return r.template convert_to<T>();
}
private:
typename expression_storage<Arg1>::type arg;
expression& operator=(const expression&);
};
template <class tag, class Arg1, class Arg2>
struct expression<tag, Arg1, Arg2, void, void>
{
using arity = std::integral_constant<int, 2> ;
using left_type = typename arg_type<Arg1>::type ;
using right_type = typename arg_type<Arg2>::type ;
using left_result_type = typename left_type::result_type ;
using right_result_type = typename right_type::result_type ;
using result_type = typename combine_expression<left_result_type, right_result_type>::type;
using tag_type = tag ;
BOOST_MP_CXX14_CONSTEXPR expression(const Arg1& a1, const Arg2& a2) : arg1(a1), arg2(a2) {}
BOOST_MP_CXX14_CONSTEXPR expression(const expression& e) : arg1(e.arg1), arg2(e.arg2) {}
//
// If we have static_assert we can give a more useful error message
// than if we simply have no operator defined at all:
//
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not assign to a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator++()
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not increment a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator++(int)
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not increment a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator--()
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not decrement a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator--(int)
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not decrement a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator+=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator+= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator-=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator-= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator*=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator*= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator/=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator/= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator%=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator%= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator|=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator|= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator&=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator&= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator^=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator^= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator<<=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator<<= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator>>=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator>>= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR left_type left() const
{
return left_type(arg1);
}
BOOST_MP_CXX14_CONSTEXPR right_type right() const { return right_type(arg2); }
BOOST_MP_CXX14_CONSTEXPR const Arg1& left_ref() const noexcept { return arg1; }
BOOST_MP_CXX14_CONSTEXPR const Arg2& right_ref() const noexcept { return arg2; }
template <class T
#ifndef __SUNPRO_CC
,
typename std::enable_if<!is_number<T>::value && !std::is_convertible<result_type, T const&>::value && std::is_constructible<T, result_type>::value, int>::type = 0
#endif
>
explicit BOOST_MP_CXX14_CONSTEXPR operator T() const
{
return static_cast<T>(static_cast<result_type>(*this));
}
BOOST_MP_FORCEINLINE explicit BOOST_MP_CXX14_CONSTEXPR operator bool() const
{
result_type r(*this);
return static_cast<bool>(r);
}
template <class T>
BOOST_MP_CXX14_CONSTEXPR T convert_to()
{
result_type r(*this);
return r.template convert_to<T>();
}
static const constexpr unsigned left_depth = left_type::depth + 1;
static const constexpr unsigned right_depth = right_type::depth + 1;
static const constexpr unsigned depth = left_depth > right_depth ? left_depth : right_depth;
private:
typename expression_storage<Arg1>::type arg1;
typename expression_storage<Arg2>::type arg2;
expression& operator=(const expression&);
};
template <class tag, class Arg1, class Arg2, class Arg3>
struct expression<tag, Arg1, Arg2, Arg3, void>
{
using arity = std::integral_constant<int, 3> ;
using left_type = typename arg_type<Arg1>::type ;
using middle_type = typename arg_type<Arg2>::type ;
using right_type = typename arg_type<Arg3>::type ;
using left_result_type = typename left_type::result_type ;
using middle_result_type = typename middle_type::result_type;
using right_result_type = typename right_type::result_type ;
using result_type = typename combine_expression<
left_result_type,
typename combine_expression<right_result_type, middle_result_type>::type>::type;
using tag_type = tag ;
BOOST_MP_CXX14_CONSTEXPR expression(const Arg1& a1, const Arg2& a2, const Arg3& a3) : arg1(a1), arg2(a2), arg3(a3) {}
BOOST_MP_CXX14_CONSTEXPR expression(const expression& e) : arg1(e.arg1), arg2(e.arg2), arg3(e.arg3) {}
//
// If we have static_assert we can give a more useful error message
// than if we simply have no operator defined at all:
//
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not assign to a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator++()
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not increment a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator++(int)
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not increment a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator--()
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not decrement a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator--(int)
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not decrement a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator+=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator+= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator-=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator-= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator*=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator*= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator/=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator/= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator%=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator%= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator|=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator|= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator&=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator&= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator^=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator^= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator<<=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator<<= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator>>=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator>>= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR left_type left() const
{
return left_type(arg1);
}
BOOST_MP_CXX14_CONSTEXPR middle_type middle() const { return middle_type(arg2); }
BOOST_MP_CXX14_CONSTEXPR right_type right() const { return right_type(arg3); }
BOOST_MP_CXX14_CONSTEXPR const Arg1& left_ref() const noexcept { return arg1; }
BOOST_MP_CXX14_CONSTEXPR const Arg2& middle_ref() const noexcept { return arg2; }
BOOST_MP_CXX14_CONSTEXPR const Arg3& right_ref() const noexcept { return arg3; }
template <class T
#ifndef __SUNPRO_CC
,
typename std::enable_if<!is_number<T>::value && !std::is_convertible<result_type, T const&>::value && std::is_constructible<T, result_type>::value, int>::type = 0
#endif
>
explicit BOOST_MP_CXX14_CONSTEXPR operator T() const
{
return static_cast<T>(static_cast<result_type>(*this));
}
BOOST_MP_FORCEINLINE explicit BOOST_MP_CXX14_CONSTEXPR operator bool() const
{
result_type r(*this);
return static_cast<bool>(r);
}
template <class T>
BOOST_MP_CXX14_CONSTEXPR T convert_to()
{
result_type r(*this);
return r.template convert_to<T>();
}
static constexpr const unsigned left_depth = left_type::depth + 1;
static constexpr const unsigned middle_depth = middle_type::depth + 1;
static constexpr const unsigned right_depth = right_type::depth + 1;
static constexpr const unsigned depth = left_depth > right_depth ? (left_depth > middle_depth ? left_depth : middle_depth) : (right_depth > middle_depth ? right_depth : middle_depth);
private:
typename expression_storage<Arg1>::type arg1;
typename expression_storage<Arg2>::type arg2;
typename expression_storage<Arg3>::type arg3;
expression& operator=(const expression&);
};
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
struct expression
{
using arity = std::integral_constant<int, 4> ;
using left_type = typename arg_type<Arg1>::type ;
using left_middle_type = typename arg_type<Arg2>::type ;
using right_middle_type = typename arg_type<Arg3>::type ;
using right_type = typename arg_type<Arg4>::type ;
using left_result_type = typename left_type::result_type ;
using left_middle_result_type = typename left_middle_type::result_type ;
using right_middle_result_type = typename right_middle_type::result_type;
using right_result_type = typename right_type::result_type ;
using result_type = typename combine_expression<
left_result_type,
typename combine_expression<
left_middle_result_type,
typename combine_expression<right_middle_result_type, right_result_type>::type>::type>::type;
using tag_type = tag ;
BOOST_MP_CXX14_CONSTEXPR expression(const Arg1& a1, const Arg2& a2, const Arg3& a3, const Arg4& a4) : arg1(a1), arg2(a2), arg3(a3), arg4(a4) {}
BOOST_MP_CXX14_CONSTEXPR expression(const expression& e) : arg1(e.arg1), arg2(e.arg2), arg3(e.arg3), arg4(e.arg4) {}
//
// If we have static_assert we can give a more useful error message
// than if we simply have no operator defined at all:
//
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not assign to a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator++()
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not increment a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator++(int)
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not increment a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator--()
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not decrement a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR expression& operator--(int)
{
// This should always fail:
static_assert(sizeof(*this) == INT_MAX, "You can not decrement a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator+=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator+= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator-=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator-= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator*=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator*= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator/=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator/= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator%=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator%= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator|=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator|= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator&=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator&= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator^=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator^= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator<<=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator<<= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
template <class Other>
BOOST_MP_CXX14_CONSTEXPR expression& operator>>=(const Other&)
{
// This should always fail:
static_assert(sizeof(Other) == INT_MAX, "You can not use operator>>= on a Boost.Multiprecision expression template: did you inadvertantly store an expression template in a \"auto\" variable? Or pass an expression to a template function with deduced temnplate arguments?");
return *this;
}
BOOST_MP_CXX14_CONSTEXPR left_type left() const
{
return left_type(arg1);
}
BOOST_MP_CXX14_CONSTEXPR left_middle_type left_middle() const { return left_middle_type(arg2); }
BOOST_MP_CXX14_CONSTEXPR right_middle_type right_middle() const { return right_middle_type(arg3); }
BOOST_MP_CXX14_CONSTEXPR right_type right() const { return right_type(arg4); }
BOOST_MP_CXX14_CONSTEXPR const Arg1& left_ref() const noexcept { return arg1; }
BOOST_MP_CXX14_CONSTEXPR const Arg2& left_middle_ref() const noexcept { return arg2; }
BOOST_MP_CXX14_CONSTEXPR const Arg3& right_middle_ref() const noexcept { return arg3; }
BOOST_MP_CXX14_CONSTEXPR const Arg4& right_ref() const noexcept { return arg4; }
template <class T
#ifndef __SUNPRO_CC
,
typename std::enable_if<!is_number<T>::value && !std::is_convertible<result_type, T const&>::value && std::is_constructible<T, result_type>::value, int>::type = 0
#endif
>
explicit BOOST_MP_CXX14_CONSTEXPR operator T() const
{
return static_cast<T>(static_cast<result_type>(*this));
}
BOOST_MP_FORCEINLINE explicit BOOST_MP_CXX14_CONSTEXPR operator bool() const
{
result_type r(*this);
return static_cast<bool>(r);
}
template <class T>
BOOST_MP_CXX14_CONSTEXPR T convert_to()
{
result_type r(*this);
return r.template convert_to<T>();
}
static constexpr const unsigned left_depth = left_type::depth + 1;
static constexpr const unsigned left_middle_depth = left_middle_type::depth + 1;
static constexpr const unsigned right_middle_depth = right_middle_type::depth + 1;
static constexpr const unsigned right_depth = right_type::depth + 1;
static constexpr const unsigned left_max_depth = left_depth > left_middle_depth ? left_depth : left_middle_depth;
static constexpr const unsigned right_max_depth = right_depth > right_middle_depth ? right_depth : right_middle_depth;
static constexpr const unsigned depth = left_max_depth > right_max_depth ? left_max_depth : right_max_depth;
private:
typename expression_storage<Arg1>::type arg1;
typename expression_storage<Arg2>::type arg2;
typename expression_storage<Arg3>::type arg3;
typename expression_storage<Arg4>::type arg4;
expression& operator=(const expression&);
};
template <class T>
struct digits2
{
static_assert(std::numeric_limits<T>::is_specialized, "numeric_limits must be specialized here");
static_assert((std::numeric_limits<T>::radix == 2) || (std::numeric_limits<T>::radix == 10), "Failed radix check");
// If we really have so many digits that this fails, then we're probably going to hit other problems anyway:
static_assert(LONG_MAX / 1000 > (std::numeric_limits<T>::digits + 1), "Too many digits to cope with here");
static constexpr const long m_value = std::numeric_limits<T>::radix == 10 ? (((std::numeric_limits<T>::digits + 1) * 1000L) / 301L) : std::numeric_limits<T>::digits;
static inline constexpr long value() noexcept { return m_value; }
};
#ifndef BOOST_MP_MIN_EXPONENT_DIGITS
#ifdef _MSC_VER
#define BOOST_MP_MIN_EXPONENT_DIGITS 2
#else
#define BOOST_MP_MIN_EXPONENT_DIGITS 2
#endif
#endif
template <class S>
void format_float_string(S& str, std::intmax_t my_exp, std::intmax_t digits, std::ios_base::fmtflags f, bool iszero)
{
using size_type = typename S::size_type;
bool scientific = (f & std::ios_base::scientific) == std::ios_base::scientific;
bool fixed = (f & std::ios_base::fixed) == std::ios_base::fixed;
bool showpoint = (f & std::ios_base::showpoint) == std::ios_base::showpoint;
bool showpos = (f & std::ios_base::showpos) == std::ios_base::showpos;
bool neg = str.size() && (str[0] == '-');
if (neg)
str.erase(0, 1);
if (digits == 0)
{
digits = (std::max)(str.size(), size_type(16));
}
if (iszero || str.empty() || (str.find_first_not_of('0') == S::npos))
{
// We will be printing zero, even though the value might not
// actually be zero (it just may have been rounded to zero).
str = "0";
if (scientific || fixed)
{
str.append(1, '.');
str.append(size_type(digits), '0');
if (scientific)
str.append("e+00");
}
else
{
if (showpoint)
{
str.append(1, '.');
if (digits > 1)
str.append(size_type(digits - 1), '0');
}
}
if (neg)
str.insert(static_cast<std::string::size_type>(0), 1, '-');
else if (showpos)
str.insert(static_cast<std::string::size_type>(0), 1, '+');
return;
}
if (!fixed && !scientific && !showpoint)
{
//
// Suppress trailing zeros:
//
std::string::iterator pos = str.end();
while (pos != str.begin() && *--pos == '0')
{
}
if (pos != str.end())
++pos;
str.erase(pos, str.end());
if (str.empty())
str = '0';
}
else if (!fixed || (my_exp >= 0))
{
//
// Pad out the end with zero's if we need to:
//
std::intmax_t chars = str.size();
chars = digits - chars;
if (scientific)
++chars;
if (chars > 0)
{
str.append(static_cast<std::string::size_type>(chars), '0');
}
}
if (fixed || (!scientific && (my_exp >= -4) && (my_exp < digits)))
{
if (1 + my_exp > static_cast<std::intmax_t>(str.size()))
{
// Just pad out the end with zeros:
str.append(static_cast<std::string::size_type>(1 + my_exp - str.size()), '0');
if (showpoint || fixed)
str.append(".");
}
else if (my_exp + 1 < static_cast<std::intmax_t>(str.size()))
{
if (my_exp < 0)
{
str.insert(static_cast<std::string::size_type>(0), static_cast<std::string::size_type>(-1 - my_exp), '0');
str.insert(static_cast<std::string::size_type>(0), "0.");
}
else
{
// Insert the decimal point:
str.insert(static_cast<std::string::size_type>(my_exp + 1), 1, '.');
}
}
else if (showpoint || fixed) // we have exactly the digits we require to left of the point
str += ".";
if (fixed)
{
// We may need to add trailing zeros:
std::intmax_t l = str.find('.') + 1;
l = digits - (str.size() - l);
if (l > 0)
str.append(size_type(l), '0');
}
}
else
{
BOOST_MP_USING_ABS
// Scientific format:
if (showpoint || (str.size() > 1))
str.insert(static_cast<std::string::size_type>(1u), 1, '.');
str.append(static_cast<std::string::size_type>(1u), 'e');
S e = boost::lexical_cast<S>(abs(my_exp));
if (e.size() < BOOST_MP_MIN_EXPONENT_DIGITS)
e.insert(static_cast<std::string::size_type>(0), BOOST_MP_MIN_EXPONENT_DIGITS - e.size(), '0');
if (my_exp < 0)
e.insert(static_cast<std::string::size_type>(0), 1, '-');
else
e.insert(static_cast<std::string::size_type>(0), 1, '+');
str.append(e);
}
if (neg)
str.insert(static_cast<std::string::size_type>(0), 1, '-');
else if (showpos)
str.insert(static_cast<std::string::size_type>(0), 1, '+');
}
template <class V>
BOOST_MP_CXX14_CONSTEXPR void check_shift_range(V val, const std::integral_constant<bool, true>&, const std::integral_constant<bool, true>&)
{
if (val > (std::numeric_limits<std::size_t>::max)())
BOOST_THROW_EXCEPTION(std::out_of_range("Can not shift by a value greater than std::numeric_limits<std::size_t>::max()."));
if (val < 0)
BOOST_THROW_EXCEPTION(std::out_of_range("Can not shift by a negative value."));
}
template <class V>
BOOST_MP_CXX14_CONSTEXPR void check_shift_range(V val, const std::integral_constant<bool, false>&, const std::integral_constant<bool, true>&)
{
if (val < 0)
BOOST_THROW_EXCEPTION(std::out_of_range("Can not shift by a negative value."));
}
template <class V>
BOOST_MP_CXX14_CONSTEXPR void check_shift_range(V val, const std::integral_constant<bool, true>&, const std::integral_constant<bool, false>&)
{
if (val > (std::numeric_limits<std::size_t>::max)())
BOOST_THROW_EXCEPTION(std::out_of_range("Can not shift by a value greater than std::numeric_limits<std::size_t>::max()."));
}
template <class V>
BOOST_MP_CXX14_CONSTEXPR void check_shift_range(V, const std::integral_constant<bool, false>&, const std::integral_constant<bool, false>&) noexcept {}
template <class T>
BOOST_MP_CXX14_CONSTEXPR const T& evaluate_if_expression(const T& val) { return val; }
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type evaluate_if_expression(const expression<tag, Arg1, Arg2, Arg3, Arg4>& val) { return val; }
} // namespace detail
//
// Traits class, lets us know what kind of number we have, defaults to a floating point type:
//
enum number_category_type
{
number_kind_unknown = -1,
number_kind_integer = 0,
number_kind_floating_point = 1,
number_kind_rational = 2,
number_kind_fixed_point = 3,
number_kind_complex = 4
};
template <class Num, bool, bool>
struct number_category_base : public std::integral_constant<int, number_kind_unknown>
{};
template <class Num>
struct number_category_base<Num, true, false> : public std::integral_constant<int, std::numeric_limits<Num>::is_integer ? number_kind_integer : (std::numeric_limits<Num>::max_exponent ? number_kind_floating_point : number_kind_unknown)>
{};
template <class Num>
struct number_category : public number_category_base<Num, std::is_class<Num>::value || boost::multiprecision::detail::is_arithmetic<Num>::value, std::is_abstract<Num>::value>
{};
template <class Backend, expression_template_option ExpressionTemplates>
struct number_category<number<Backend, ExpressionTemplates> > : public number_category<Backend>
{};
template <class tag, class A1, class A2, class A3, class A4>
struct number_category<detail::expression<tag, A1, A2, A3, A4> > : public number_category<typename detail::expression<tag, A1, A2, A3, A4>::result_type>
{};
//
// Specializations for types which do not always have numberic_limits specializations:
//
#ifdef BOOST_HAS_INT128
template <>
struct number_category<boost::int128_type> : public std::integral_constant<int, number_kind_integer>
{};
template <>
struct number_category<boost::uint128_type> : public std::integral_constant<int, number_kind_integer>
{};
#endif
#ifdef BOOST_HAS_FLOAT128
template <>
struct number_category<__float128> : public std::integral_constant<int, number_kind_floating_point>
{};
#endif
template <class T>
struct component_type
{
using type = T;
};
template <class tag, class A1, class A2, class A3, class A4>
struct component_type<detail::expression<tag, A1, A2, A3, A4> > : public component_type<typename detail::expression<tag, A1, A2, A3, A4>::result_type>
{};
template <class T>
struct scalar_result_from_possible_complex
{
using type = typename std::conditional<number_category<T>::value == number_kind_complex, typename component_type<T>::type, T>::type;
};
template <class T>
struct complex_result_from_scalar; // individual backends must specialize this trait.
template <class T>
struct is_unsigned_number : public std::integral_constant<bool, false>
{};
template <class Backend, expression_template_option ExpressionTemplates>
struct is_unsigned_number<number<Backend, ExpressionTemplates> > : public is_unsigned_number<Backend>
{};
template <class T>
struct is_signed_number : public std::integral_constant<bool, !is_unsigned_number<T>::value>
{};
template <class T>
struct is_interval_number : public std::integral_constant<bool, false>
{};
template <class Backend, expression_template_option ExpressionTemplates>
struct is_interval_number<number<Backend, ExpressionTemplates> > : public is_interval_number<Backend>
{};
template <class T, class U>
struct is_equivalent_number_type : public std::is_same<T, U>
{};
template <class Backend, expression_template_option ExpressionTemplates, class T2>
struct is_equivalent_number_type<number<Backend, ExpressionTemplates>, T2> : public is_equivalent_number_type<Backend, T2>
{};
template <class T1, class Backend, expression_template_option ExpressionTemplates>
struct is_equivalent_number_type<T1, number<Backend, ExpressionTemplates> > : public is_equivalent_number_type<Backend, T1>
{};
template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2>
struct is_equivalent_number_type<number<Backend, ExpressionTemplates>, number<Backend2, ExpressionTemplates2> > : public is_equivalent_number_type<Backend, Backend2>
{};
}
} // namespace boost
namespace boost { namespace math {
namespace tools {
template <class T>
struct promote_arg;
template <class tag, class A1, class A2, class A3, class A4>
struct promote_arg<boost::multiprecision::detail::expression<tag, A1, A2, A3, A4> >
{
using type = typename boost::multiprecision::detail::expression<tag, A1, A2, A3, A4>::result_type;
};
template <class R, class B, boost::multiprecision::expression_template_option ET>
inline R real_cast(const boost::multiprecision::number<B, ET>& val)
{
return val.template convert_to<R>();
}
template <class R, class tag, class A1, class A2, class A3, class A4>
inline R real_cast(const boost::multiprecision::detail::expression<tag, A1, A2, A3, A4>& val)
{
using val_type = typename boost::multiprecision::detail::expression<tag, A1, A2, A3, A4>::result_type;
return val_type(val).template convert_to<R>();
}
template <class B, boost::multiprecision::expression_template_option ET>
struct is_complex_type<boost::multiprecision::number<B, ET> > : public std::integral_constant<bool, boost::multiprecision::number_category<B>::value == boost::multiprecision::number_kind_complex> {};
} // namespace tools
namespace constants {
template <class T>
struct is_explicitly_convertible_from_string;
template <class B, boost::multiprecision::expression_template_option ET>
struct is_explicitly_convertible_from_string<boost::multiprecision::number<B, ET> >
{
static constexpr const bool value = true;
};
} // namespace constants
}} // namespace boost::math
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
#endif // BOOST_MATH_BIG_NUM_BASE_HPP