///////////////////////////////////////////////////////////////////////////////
// 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_MP_NUMBER_HPP
#define BOOST_MP_NUMBER_HPP
#include <cstdint>
#include <boost/multiprecision/detail/standalone_config.hpp>
#include <boost/multiprecision/detail/precision.hpp>
#include <boost/multiprecision/detail/generic_interconvert.hpp>
#include <boost/multiprecision/detail/number_compare.hpp>
#include <boost/multiprecision/traits/is_restricted_conversion.hpp>
#include <boost/multiprecision/traits/is_complex.hpp>
#include <boost/multiprecision/traits/is_convertible_arithmetic.hpp>
#include <boost/multiprecision/detail/hash.hpp>
#include <boost/multiprecision/detail/number_base.hpp>
#include <istream> // stream operators
#include <cstdio> // EOF
#include <cctype> // isspace
#include <functional> // std::hash
#include <type_traits>
#ifndef BOOST_NO_CXX17_HDR_STRING_VIEW
#include <string_view>
#endif
#ifndef BOOST_MP_STANDALONE
#include <boost/core/nvp.hpp>
#endif
namespace boost {
namespace multiprecision {
#ifdef BOOST_MSVC
// warning C4127: conditional expression is constant
// warning C4714: function marked as __forceinline not inlined
#pragma warning(push)
#pragma warning(disable : 4127 4714 6326)
#endif
template <class Backend, expression_template_option ExpressionTemplates>
class number
{
using self_type = number<Backend, ExpressionTemplates>;
public:
using backend_type = Backend ;
using value_type = typename component_type<self_type>::type;
static constexpr expression_template_option et = ExpressionTemplates;
BOOST_MP_FORCEINLINE constexpr number() noexcept(noexcept(Backend())) {}
BOOST_MP_FORCEINLINE constexpr number(const number& e) noexcept(noexcept(Backend(std::declval<Backend const&>()))) : m_backend(e.m_backend) {}
template <class V>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(const V& v,
typename std::enable_if<
(boost::multiprecision::detail::is_convertible_arithmetic<V, Backend>::value
|| std::is_same<std::string, V>::value
|| std::is_convertible<V, const char*>::value)
&& !std::is_convertible<typename detail::canonical<V, Backend>::type, Backend>::value
&& !detail::is_restricted_conversion<typename detail::canonical<V, Backend>::type, Backend>::value>::type* = nullptr)
{
m_backend = canonical_value(v);
}
template <class V>
BOOST_MP_FORCEINLINE constexpr number(const V& v, typename std::enable_if<
std::is_convertible<typename detail::canonical<V, Backend>::type, Backend>::value && !detail::is_restricted_conversion<typename detail::canonical<V, Backend>::type, Backend>::value>::type* = nullptr)
#ifndef BOOST_INTEL
noexcept(noexcept(Backend(std::declval<typename detail::canonical<V, Backend>::type const&>())))
#endif
: m_backend(canonical_value(v))
{}
template <class V, class U>
BOOST_MP_FORCEINLINE constexpr number(const V& v, U digits10,
typename std::enable_if<
(boost::multiprecision::detail::is_convertible_arithmetic<V, Backend>::value
|| std::is_same<std::string, V>::value
|| std::is_convertible<V, const char*>::value)
&& !detail::is_restricted_conversion<typename detail::canonical<V, Backend>::type, Backend>::value
&& (boost::multiprecision::number_category<Backend>::value != boost::multiprecision::number_kind_complex)
&& (boost::multiprecision::number_category<Backend>::value != boost::multiprecision::number_kind_rational)
&& std::is_same<self_type, value_type>::value
&& std::is_integral<U>::value
&& (std::numeric_limits<U>::digits <= std::numeric_limits<unsigned>::digits)
&& std::is_constructible<Backend, typename detail::canonical<V, Backend>::type const&, unsigned>::value>::type* = nullptr)
: m_backend(canonical_value(v), static_cast<unsigned>(digits10))
{}
//
// Conversions from unscoped enum's are implicit:
//
template <class V>
BOOST_MP_FORCEINLINE
#if !(defined(BOOST_MSVC) && (BOOST_MSVC <= 1900))
constexpr
#endif
number(const V& v, typename std::enable_if<
std::is_enum<V>::value && std::is_convertible<V, int>::value && !std::is_convertible<typename detail::canonical<V, Backend>::type, Backend>::value && !detail::is_restricted_conversion<typename detail::canonical<V, Backend>::type, Backend>::value>::type* = nullptr)
: number(static_cast<typename std::underlying_type<V>::type>(v))
{}
//
// Conversions from scoped enum's are explicit:
//
template <class V>
BOOST_MP_FORCEINLINE explicit
#if !(defined(BOOST_MSVC) && (BOOST_MSVC <= 1900))
constexpr
#endif
number(const V& v, typename std::enable_if<
std::is_enum<V>::value && !std::is_convertible<V, int>::value && !std::is_convertible<typename detail::canonical<V, Backend>::type, Backend>::value && !detail::is_restricted_conversion<typename detail::canonical<V, Backend>::type, Backend>::value>::type* = nullptr)
: number(static_cast<typename std::underlying_type<V>::type>(v))
{}
template <class U>
BOOST_MP_FORCEINLINE constexpr number(const number& e, U digits10, typename std::enable_if<std::is_constructible<Backend, const Backend&, unsigned>::value && std::is_integral<U>::value && (std::numeric_limits<U>::digits <= std::numeric_limits<unsigned>::digits)>::type* = nullptr)
noexcept(noexcept(Backend(std::declval<Backend const&>(), std::declval<unsigned>())))
: m_backend(e.m_backend, static_cast<unsigned>(digits10)) {}
template <class V>
explicit BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(const V& v, typename std::enable_if<
(boost::multiprecision::detail::is_arithmetic<V>::value || std::is_same<std::string, V>::value || std::is_convertible<V, const char*>::value) && !detail::is_explicitly_convertible<typename detail::canonical<V, Backend>::type, Backend>::value && detail::is_restricted_conversion<typename detail::canonical<V, Backend>::type, Backend>::value>::type* = nullptr)
noexcept(noexcept(std::declval<Backend&>() = std::declval<typename detail::canonical<V, Backend>::type const&>()))
{
m_backend = canonical_value(v);
}
template <class V>
explicit BOOST_MP_FORCEINLINE constexpr number(const V& v, typename std::enable_if<
detail::is_explicitly_convertible<typename detail::canonical<V, Backend>::type, Backend>::value && (detail::is_restricted_conversion<typename detail::canonical<V, Backend>::type, Backend>::value || !std::is_convertible<typename detail::canonical<V, Backend>::type, Backend>::value)>::type* = nullptr)
noexcept(noexcept(Backend(std::declval<typename detail::canonical<V, Backend>::type const&>())))
: m_backend(canonical_value(v)) {}
template <class V>
explicit BOOST_MP_FORCEINLINE constexpr number(const V& v, unsigned digits10, typename std::enable_if<(boost::multiprecision::detail::is_arithmetic<V>::value || std::is_same<std::string, V>::value || std::is_convertible<V, const char*>::value) && detail::is_restricted_conversion<typename detail::canonical<V, Backend>::type, Backend>::value && (boost::multiprecision::number_category<Backend>::value != boost::multiprecision::number_kind_complex) && (boost::multiprecision::number_category<Backend>::value != boost::multiprecision::number_kind_rational)>::type* = nullptr)
: m_backend(canonical_value(v), digits10) {}
template <expression_template_option ET>
BOOST_MP_FORCEINLINE constexpr number(const number<Backend, ET>& val)
noexcept(noexcept(Backend(std::declval<Backend const&>()))) : m_backend(val.backend()) {}
template <class Other, expression_template_option ET>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(const number<Other, ET>& val,
typename std::enable_if<(std::is_convertible<Other, Backend>::value && !detail::is_restricted_conversion<Other, Backend>::value)>::type* = nullptr)
noexcept(noexcept(Backend(std::declval<Other const&>())))
: m_backend(val.backend()) {}
template <class Other, expression_template_option ET>
explicit BOOST_MP_CXX14_CONSTEXPR number(const number<Other, ET>& val, typename std::enable_if<
(!detail::is_explicitly_convertible<Other, Backend>::value)>::type* = nullptr)
{
//
// Attempt a generic interconvertion:
//
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard_1(val);
detail::scoped_default_precision<number<Other, ET> > precision_guard_2(val);
using detail::generic_interconvert;
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
{
if (precision_guard_1.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
self_type t;
generic_interconvert(t.backend(), val.backend(), number_category<Backend>(), number_category<Other>());
*this = std::move(t);
return;
}
}
generic_interconvert(backend(), val.backend(), number_category<Backend>(), number_category<Other>());
}
template <class Other, expression_template_option ET>
explicit BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(const number<Other, ET>& val, typename std::enable_if<
(detail::is_explicitly_convertible<Other, Backend>::value && (detail::is_restricted_conversion<Other, Backend>::value || !std::is_convertible<Other, Backend>::value))>::type* = nullptr) noexcept(noexcept(Backend(std::declval<Other const&>())))
: m_backend(val.backend()) {}
template <class V, class U>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(const V& v1, const U& v2,
typename std::enable_if<
(std::is_convertible<V, value_type>::value
&& std::is_convertible<U, value_type>::value
&& !std::is_same<value_type, self_type>::value
&& std::is_constructible<Backend, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const V&>()))>::type>::type, Backend>::type const&, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const U&>()))>::type>::type, Backend>::type const&>::value
&& !boost::multiprecision::detail::is_variable_precision<Backend>::value)>::type* = nullptr)
: m_backend(canonical_value(detail::evaluate_if_expression(v1)), canonical_value(detail::evaluate_if_expression(v2)))
{
}
template <class V, class U>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(V&& v1, const U& v2,
typename std::enable_if<
(std::is_convertible<V, value_type>::value
&& std::is_convertible<U, value_type>::value
&& !std::is_same<value_type, self_type>::value
&& std::is_constructible<Backend, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const V&>()))>::type>::type, Backend>::type const&, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const U&>()))>::type>::type, Backend>::type const&>::value
&& !boost::multiprecision::detail::is_variable_precision<Backend>::value)>::type* = nullptr)
: m_backend(canonical_value(detail::evaluate_if_expression(static_cast<V&&>(v1))), canonical_value(detail::evaluate_if_expression(v2)))
{
}
template <class V, class U>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(const V& v1, U&& v2,
typename std::enable_if<
(std::is_convertible<V, value_type>::value
&& std::is_convertible<U, value_type>::value
&& !std::is_same<value_type, self_type>::value
&& std::is_constructible<Backend, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const V&>()))>::type>::type, Backend>::type const&, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const U&>()))>::type>::type, Backend>::type const&>::value
&& !boost::multiprecision::detail::is_variable_precision<Backend>::value)>::type* = nullptr)
: m_backend(canonical_value(detail::evaluate_if_expression(v1)), canonical_value(detail::evaluate_if_expression(static_cast<U&&>(v2))))
{
}
template <class V, class U>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(V&& v1, U&& v2,
typename std::enable_if<
(std::is_convertible<V, value_type>::value
&& std::is_convertible<U, value_type>::value
&& !std::is_same<value_type, self_type>::value
&& std::is_constructible<Backend, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const V&>()))>::type>::type, Backend>::type const&, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const U&>()))>::type>::type, Backend>::type const&>::value
&& !boost::multiprecision::detail::is_variable_precision<Backend>::value)>::type* = nullptr)
: m_backend(canonical_value(detail::evaluate_if_expression(static_cast<V&&>(v1))), canonical_value(detail::evaluate_if_expression(static_cast<U&&>(v2))))
{
}
template <class V, class U>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(const V& v1, const U& v2,
typename std::enable_if<
(std::is_convertible<V, value_type>::value
&& std::is_convertible<U, value_type>::value
&& !std::is_same<value_type, self_type>::value
&& (!std::is_constructible<Backend, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const V&>()))>::type>::type, Backend>::type const&, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const U&>()))>::type>::type, Backend>::type const&>::value
|| boost::multiprecision::detail::is_variable_precision<Backend>::value))>::type* = nullptr)
{
using default_ops::assign_components;
// Copy precision options from this type to component_type:
boost::multiprecision::detail::scoped_precision_options<value_type> scoped_opts(*this);
// precision guards:
detail::scoped_default_precision<self_type> precision_guard(v1, v2, *this);
detail::scoped_default_precision<value_type> component_precision_guard(v1, v2, *this);
assign_components(m_backend, canonical_value(detail::evaluate_if_expression(v1)), canonical_value(detail::evaluate_if_expression(v2)));
}
template <class V, class U>
BOOST_MP_FORCEINLINE explicit BOOST_MP_CXX14_CONSTEXPR number(const V& v1, const U& v2,
typename std::enable_if<
(std::is_constructible<value_type, V>::value || std::is_convertible<V, std::string>::value) && (std::is_constructible<value_type, U>::value || std::is_convertible<U, std::string>::value) && !std::is_same<value_type, self_type>::value && !std::is_same<V, self_type>::value && !(std::is_convertible<V, value_type>::value && std::is_convertible<U, value_type>::value)>::type* = nullptr)
{
using default_ops::assign_components;
// Copy precision options from this type to component_type:
boost::multiprecision::detail::scoped_precision_options<value_type> scoped_opts(*this);
// precision guards:
detail::scoped_default_precision<self_type> precision_guard(v1, v2, *this);
detail::scoped_default_precision<value_type> component_precision_guard(v1, v2, *this);
assign_components(m_backend, canonical_value(detail::evaluate_if_expression(v1)), canonical_value(detail::evaluate_if_expression(v2)));
}
#ifndef BOOST_NO_CXX17_HDR_STRING_VIEW
//
// Support for new types in C++17
//
template <class Traits>
explicit inline BOOST_MP_CXX14_CONSTEXPR number(const std::basic_string_view<char, Traits>& view)
{
using default_ops::assign_from_string_view;
assign_from_string_view(this->backend(), view);
}
template <class Traits>
explicit inline BOOST_MP_CXX14_CONSTEXPR number(const std::basic_string_view<char, Traits>& view_x, const std::basic_string_view<char, Traits>& view_y)
{
using default_ops::assign_from_string_view;
assign_from_string_view(this->backend(), view_x, view_y);
}
template <class Traits>
explicit BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(const std::basic_string_view<char, Traits>& v, unsigned digits10)
: m_backend(canonical_value(v), digits10) {}
template <class Traits>
BOOST_MP_CXX14_CONSTEXPR number& assign(const std::basic_string_view<char, Traits>& view)
{
using default_ops::assign_from_string_view;
assign_from_string_view(this->backend(), view);
return *this;
}
#endif
template <class V, class U>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(const V& v1, const U& v2, unsigned digits10,
typename std::enable_if<(std::is_convertible<V, value_type>::value && std::is_convertible<U, value_type>::value && !std::is_same<value_type, self_type>::value)>::type* = nullptr)
: m_backend(canonical_value(detail::evaluate_if_expression(v1)), canonical_value(detail::evaluate_if_expression(v2)), digits10)
{}
template <class V, class U>
BOOST_MP_FORCEINLINE explicit BOOST_MP_CXX14_CONSTEXPR number(const V& v1, const U& v2, unsigned digits10,
typename std::enable_if<((std::is_constructible<value_type, V>::value || std::is_convertible<V, std::string>::value) && (std::is_constructible<value_type, U>::value || std::is_convertible<U, std::string>::value) && !std::is_same<value_type, self_type>::value) && !(std::is_convertible<V, value_type>::value && std::is_convertible<U, value_type>::value)>::type* = nullptr)
: m_backend(detail::evaluate_if_expression(v1), detail::evaluate_if_expression(v2), digits10) {}
template <class Other, expression_template_option ET>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(
const number<Other, ET>& v1,
const number<Other, ET>& v2,
typename std::enable_if<
std::is_convertible<Other, Backend>::value
&& (!std::is_constructible<Backend, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const number<Other, ET>&>()))>::type>::type, Backend>::type const&, typename detail::canonical<typename std::remove_cv<typename std::remove_reference<decltype(detail::evaluate_if_expression(std::declval<const number<Other, ET>&>()))>::type>::type, Backend>::type const&>::value || boost::multiprecision::detail::is_variable_precision<Backend>::value) >::type* = nullptr)
{
using default_ops::assign_components;
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(v1, v2);
assign_components(m_backend, v1.backend(), v2.backend());
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value, number&>::type operator=(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e)
{
using tag_type = std::integral_constant<bool, is_equivalent_number_type<number, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type>::value>;
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(e);
//
// If the current precision of *this differs from that of expression e, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_IF_CONSTEXPR (std::is_same<self_type, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type>::value)
{
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(e);
return *this = std::move(t);
}
}
do_assign(e, tag_type());
return *this;
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR number& assign(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e)
{
using tag_type = std::integral_constant<bool, is_equivalent_number_type<number, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type>::value>;
//
// If the current precision of *this differs from that of expression e, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_IF_CONSTEXPR(std::is_same<self_type, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type>::value)
{
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
{
const detail::scoped_default_precision<number<Backend, ExpressionTemplates>> precision_guard(e);
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t;
t.assign(e);
return *this = std::move(t);
}
}
}
do_assign(e, tag_type());
return *this;
}
BOOST_MP_CXX14_CONSTEXPR number& assign(const value_type& a, const value_type& b)
{
assign_components(backend(), a.backend(), b.backend());
return *this;
}
template <class V, class U>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<(std::is_convertible<V, value_type>::value&& std::is_convertible<U, value_type>::value && !std::is_same<value_type, self_type>::value), number&>::type
assign(const V& v1, const U& v2, unsigned Digits)
{
self_type r(v1, v2, Digits);
boost::multiprecision::detail::scoped_source_precision<self_type> scope;
return *this = r;
}
BOOST_MP_CXX14_CONSTEXPR number& assign(const value_type & a, const value_type & b, unsigned Digits)
{
this->precision(Digits);
boost::multiprecision::detail::scoped_target_precision<self_type> scoped;
assign_components(backend(), canonical_value(detail::evaluate_if_expression(a)), canonical_value(detail::evaluate_if_expression(b)));
return *this;
}
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number& operator=(const number& e)
noexcept(noexcept(std::declval<Backend&>() = std::declval<Backend const&>()))
{
m_backend = e.m_backend;
return *this;
}
template <class V>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<V, self_type>::value, number<Backend, ExpressionTemplates>&>::type
operator=(const V& v)
noexcept(noexcept(std::declval<Backend&>() = std::declval<const typename detail::canonical<V, Backend>::type&>()))
{
m_backend = canonical_value(v);
return *this;
}
template <class V>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number<Backend, ExpressionTemplates>& assign(const V& v)
noexcept(noexcept(std::declval<Backend&>() = std::declval<const typename detail::canonical<V, Backend>::type&>()))
{
m_backend = canonical_value(v);
return *this;
}
template <class V, class U>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number<Backend, ExpressionTemplates>& assign(const V& v, const U& digits10_or_component)
noexcept(noexcept(std::declval<Backend&>() = std::declval<const typename detail::canonical<V, Backend>::type&>()))
{
number t(v, digits10_or_component);
boost::multiprecision::detail::scoped_source_precision<self_type> scope;
static_cast<void>(scope);
return *this = t;
}
template <class Other, expression_template_option ET>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!boost::multiprecision::detail::is_explicitly_convertible<Other, Backend>::value, number<Backend, ExpressionTemplates>&>::type
assign(const number<Other, ET>& v)
{
//
// Attempt a generic interconvertion:
//
using detail::generic_interconvert;
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, v);
detail::scoped_default_precision<number<Other, ET> > precision_guard2(*this, v);
//
// If the current precision of *this differs from that of value v, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(v);
return *this = std::move(t);
}
generic_interconvert(backend(), v.backend(), number_category<Backend>(), number_category<Other>());
return *this;
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR number(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e, typename std::enable_if<std::is_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value>::type* = nullptr)
{
//
// No preicsion guard here, we already have one in operator=
//
*this = e;
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
explicit BOOST_MP_CXX14_CONSTEXPR number(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e,
typename std::enable_if<!std::is_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value && boost::multiprecision::detail::is_explicitly_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value>::type* = nullptr)
{
//
// No precision guard as assign has one already:
//
assign(e);
}
// rvalues:
BOOST_MP_FORCEINLINE constexpr number(number&& r)
noexcept(noexcept(Backend(std::declval<Backend>())))
: m_backend(static_cast<Backend&&>(r.m_backend))
{}
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number& operator=(number&& r) noexcept(noexcept(std::declval<Backend&>() = std::declval<Backend>()))
{
m_backend = static_cast<Backend&&>(r.m_backend);
return *this;
}
template <class Other, expression_template_option ET>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number(number<Other, ET>&& val,
typename std::enable_if<(std::is_convertible<Other, Backend>::value && !detail::is_restricted_conversion<Other, Backend>::value)>::type* = nullptr)
noexcept(noexcept(Backend(std::declval<Other const&>())))
: m_backend(static_cast<number<Other, ET>&&>(val).backend()) {}
template <class Other, expression_template_option ET>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<(std::is_convertible<Other, Backend>::value && !detail::is_restricted_conversion<Other, Backend>::value), number&>::type
operator=(number<Other, ET>&& val)
noexcept(noexcept(Backend(std::declval<Other const&>())))
{
m_backend = std::move(val).backend();
return *this;
}
BOOST_MP_CXX14_CONSTEXPR number& operator+=(const self_type& val)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, val);
//
// If the current precision of *this differs from that of expression e, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(*this + val);
return *this = std::move(t);
}
do_add(detail::expression<detail::terminal, self_type>(val), detail::terminal());
return *this;
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value, number&>::type operator+=(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, e);
// Create a copy if e contains this, but not if we're just doing a
// x += x
if ((contains_self(e) && !is_self(e)))
{
self_type temp(e);
do_add(detail::expression<detail::terminal, self_type>(temp), detail::terminal());
}
else
{
do_add(e, tag());
}
return *this;
}
template <class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR number& operator+=(const detail::expression<detail::multiply_immediates, Arg1, Arg2, Arg3, Arg4>& e)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, e);
//
// If the current precision of *this differs from that of expression e, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_IF_CONSTEXPR(std::is_same<self_type, typename detail::expression<detail::multiply_immediates, Arg1, Arg2, Arg3, Arg4>::result_type>::value)
{
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(*this + e);
return *this = std::move(t);
}
}
//
// Fused multiply-add:
//
using default_ops::eval_multiply_add;
eval_multiply_add(m_backend, canonical_value(e.left_ref()), canonical_value(e.right_ref()));
return *this;
}
template <class V>
typename std::enable_if<std::is_convertible<V, self_type>::value, number<Backend, ExpressionTemplates>&>::type
BOOST_MP_CXX14_CONSTEXPR operator+=(const V& v)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, v);
//
// If the current precision of *this differs from that of value v, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(*this + v);
return *this = std::move(t);
}
using default_ops::eval_add;
eval_add(m_backend, canonical_value(v));
return *this;
}
BOOST_MP_CXX14_CONSTEXPR number& operator-=(const self_type& val)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, val);
//
// If the current precision of *this differs from that of expression e, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(*this - val);
return *this = std::move(t);
}
do_subtract(detail::expression<detail::terminal, self_type>(val), detail::terminal());
return *this;
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value, number&>::type operator-=(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, e);
// Create a copy if e contains this:
if (contains_self(e))
{
self_type temp(e);
do_subtract(detail::expression<detail::terminal, self_type>(temp), detail::terminal());
}
else
{
do_subtract(e, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::tag_type());
}
return *this;
}
template <class V>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<V, self_type>::value, number<Backend, ExpressionTemplates>&>::type
operator-=(const V& v)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, v);
//
// If the current precision of *this differs from that of value v, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(*this - v);
return *this = std::move(t);
}
using default_ops::eval_subtract;
eval_subtract(m_backend, canonical_value(v));
return *this;
}
template <class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR number& operator-=(const detail::expression<detail::multiply_immediates, Arg1, Arg2, Arg3, Arg4>& e)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, e);
//
// If the current precision of *this differs from that of expression e, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_IF_CONSTEXPR(std::is_same<self_type, typename detail::expression<detail::multiply_immediates, Arg1, Arg2, Arg3, Arg4>::result_type>::value)
{
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(*this - e);
return *this = std::move(t);
}
}
//
// Fused multiply-subtract:
//
using default_ops::eval_multiply_subtract;
eval_multiply_subtract(m_backend, canonical_value(e.left_ref()), canonical_value(e.right_ref()));
return *this;
}
BOOST_MP_CXX14_CONSTEXPR number& operator*=(const self_type& e)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, e);
//
// If the current precision of *this differs from that of expression e, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(*this * e);
return *this = std::move(t);
}
do_multiplies(detail::expression<detail::terminal, self_type>(e), detail::terminal());
return *this;
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value, number&>::type operator*=(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, e);
// Create a temporary if the RHS references *this, but not
// if we're just doing an x *= x;
if ((contains_self(e) && !is_self(e)))
{
self_type temp(e);
do_multiplies(detail::expression<detail::terminal, self_type>(temp), detail::terminal());
}
else
{
do_multiplies(e, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::tag_type());
}
return *this;
}
template <class V>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<V, self_type>::value, number<Backend, ExpressionTemplates>&>::type
operator*=(const V& v)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, v);
//
// If the current precision of *this differs from that of value v, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(*this * v);
return *this = std::move(t);
}
using default_ops::eval_multiply;
eval_multiply(m_backend, canonical_value(v));
return *this;
}
BOOST_MP_CXX14_CONSTEXPR number& operator%=(const self_type& e)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The modulus operation is only valid for integer types");
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, e);
//
// If the current precision of *this differs from that of expression e, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(*this % e);
return *this = std::move(t);
}
do_modulus(detail::expression<detail::terminal, self_type>(e), detail::terminal());
return *this;
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value, number&>::type operator%=(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The modulus operation is only valid for integer types");
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, e);
// Create a temporary if the RHS references *this:
if (contains_self(e))
{
self_type temp(e);
do_modulus(detail::expression<detail::terminal, self_type>(temp), detail::terminal());
}
else
{
do_modulus(e, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::tag_type());
}
return *this;
}
template <class V>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<V, self_type>::value, number<Backend, ExpressionTemplates>&>::type
operator%=(const V& v)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The modulus operation is only valid for integer types");
using default_ops::eval_modulus;
eval_modulus(m_backend, canonical_value(v));
return *this;
}
//
// These operators are *not* proto-ized.
// The issue is that the increment/decrement must happen
// even if the result of the operator *is never used*.
// Possibly we could modify our expression wrapper to
// execute the increment/decrement on destruction, but
// correct implementation will be tricky, so defered for now...
//
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number& operator++()
{
using default_ops::eval_increment;
eval_increment(m_backend);
return *this;
}
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number& operator--()
{
using default_ops::eval_decrement;
eval_decrement(m_backend);
return *this;
}
inline BOOST_MP_CXX14_CONSTEXPR number operator++(int)
{
using default_ops::eval_increment;
self_type temp(*this);
eval_increment(m_backend);
return temp;
}
inline BOOST_MP_CXX14_CONSTEXPR number operator--(int)
{
using default_ops::eval_decrement;
self_type temp(*this);
eval_decrement(m_backend);
return temp;
}
template <class V>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<boost::multiprecision::detail::is_integral<V>::value, number&>::type operator<<=(V val)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The left-shift operation is only valid for integer types");
detail::check_shift_range(val, std::integral_constant<bool, (sizeof(V) > sizeof(std::size_t))>(), std::integral_constant<bool, boost::multiprecision::detail::is_signed<V>::value && boost::multiprecision::detail::is_integral<V>::value > ());
eval_left_shift(m_backend, static_cast<std::size_t>(canonical_value(val)));
return *this;
}
template <class V>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<boost::multiprecision::detail::is_integral<V>::value, number&>::type operator>>=(V val)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The right-shift operation is only valid for integer types");
detail::check_shift_range(val, std::integral_constant<bool, (sizeof(V) > sizeof(std::size_t))>(), std::integral_constant<bool, boost::multiprecision::detail::is_signed<V>::value && boost::multiprecision::detail::is_integral<V>::value>());
eval_right_shift(m_backend, static_cast<std::size_t>(canonical_value(val)));
return *this;
}
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number& operator/=(const self_type& e)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, e);
//
// If the current precision of *this differs from that of expression e, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(*this / e);
return *this = std::move(t);
}
do_divide(detail::expression<detail::terminal, self_type>(e), detail::terminal());
return *this;
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value, number&>::type operator/=(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, e);
// Create a temporary if the RHS references *this:
if (contains_self(e))
{
self_type temp(e);
do_divide(detail::expression<detail::terminal, self_type>(temp), detail::terminal());
}
else
{
do_divide(e, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::tag_type());
}
return *this;
}
template <class V>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<V, self_type>::value, number<Backend, ExpressionTemplates>&>::type
operator/=(const V& v)
{
detail::scoped_default_precision<number<Backend, ExpressionTemplates> > precision_guard(*this, v);
//
// If the current precision of *this differs from that of value v, then we
// create a temporary (which will have the correct precision thanks to precision_guard)
// and then move the result into *this. In C++17 we add a leading "if constexpr"
// which causes this code to be eliminated in the common case that this type is
// not actually variable precision. Pre C++17 this code should still be mostly
// optimised away, but we can't prevent instantiation of the dead code leading
// to longer build and possibly link times.
//
BOOST_MP_CONSTEXPR_IF_VARIABLE_PRECISION(number)
if (precision_guard.precision() != boost::multiprecision::detail::current_precision_of<self_type>(*this))
{
number t(*this / v);
return *this = std::move(t);
}
using default_ops::eval_divide;
eval_divide(m_backend, canonical_value(v));
return *this;
}
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number& operator&=(const self_type& e)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise & operation is only valid for integer types");
do_bitwise_and(detail::expression<detail::terminal, self_type>(e), detail::terminal());
return *this;
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value, number&>::type operator&=(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise & operation is only valid for integer types");
// Create a temporary if the RHS references *this, but not
// if we're just doing an x &= x;
if (contains_self(e) && !is_self(e))
{
self_type temp(e);
do_bitwise_and(detail::expression<detail::terminal, self_type>(temp), detail::terminal());
}
else
{
do_bitwise_and(e, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::tag_type());
}
return *this;
}
template <class V>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<V, self_type>::value, number<Backend, ExpressionTemplates>&>::type
operator&=(const V& v)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise & operation is only valid for integer types");
using default_ops::eval_bitwise_and;
eval_bitwise_and(m_backend, canonical_value(v));
return *this;
}
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number& operator|=(const self_type& e)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise | operation is only valid for integer types");
do_bitwise_or(detail::expression<detail::terminal, self_type>(e), detail::terminal());
return *this;
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value, number&>::type operator|=(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise | operation is only valid for integer types");
// Create a temporary if the RHS references *this, but not
// if we're just doing an x |= x;
if (contains_self(e) && !is_self(e))
{
self_type temp(e);
do_bitwise_or(detail::expression<detail::terminal, self_type>(temp), detail::terminal());
}
else
{
do_bitwise_or(e, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::tag_type());
}
return *this;
}
template <class V>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<V, self_type>::value, number<Backend, ExpressionTemplates>&>::type
operator|=(const V& v)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise | operation is only valid for integer types");
using default_ops::eval_bitwise_or;
eval_bitwise_or(m_backend, canonical_value(v));
return *this;
}
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR number& operator^=(const self_type& e)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise ^ operation is only valid for integer types");
do_bitwise_xor(detail::expression<detail::terminal, self_type>(e), detail::terminal());
return *this;
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type, self_type>::value, number&>::type operator^=(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise ^ operation is only valid for integer types");
if (contains_self(e))
{
self_type temp(e);
do_bitwise_xor(detail::expression<detail::terminal, self_type>(temp), detail::terminal());
}
else
{
do_bitwise_xor(e, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::tag_type());
}
return *this;
}
template <class V>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<V, self_type>::value, number<Backend, ExpressionTemplates>&>::type
operator^=(const V& v)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise ^ operation is only valid for integer types");
using default_ops::eval_bitwise_xor;
eval_bitwise_xor(m_backend, canonical_value(v));
return *this;
}
//
// swap:
//
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR void swap(self_type& other) noexcept(noexcept(std::declval<Backend>().swap(std::declval<Backend&>())))
{
m_backend.swap(other.backend());
}
//
// Zero and sign:
//
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR bool is_zero() const
{
using default_ops::eval_is_zero;
return eval_is_zero(m_backend);
}
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR int sign() const
{
using default_ops::eval_get_sign;
return eval_get_sign(m_backend);
}
//
// String conversion functions:
//
std::string str(std::streamsize digits = 0, std::ios_base::fmtflags f = std::ios_base::fmtflags(0)) const
{
return m_backend.str(digits, f);
}
#ifndef BOOST_MP_STANDALONE
template <class Archive>
void serialize(Archive& ar, const unsigned int /*version*/)
{
ar& boost::make_nvp("backend", m_backend);
}
#endif
private:
template <class T>
BOOST_MP_CXX14_CONSTEXPR void convert_to_imp(T* result) const
{
using default_ops::eval_convert_to;
eval_convert_to(result, m_backend);
}
template <class B2, expression_template_option ET>
BOOST_MP_CXX14_CONSTEXPR void convert_to_imp(number<B2, ET>* result) const
{
result->assign(*this);
}
BOOST_MP_CXX14_CONSTEXPR void convert_to_imp(std::string* result) const
{
*result = this->str();
}
public:
template <class T>
BOOST_MP_CXX14_CONSTEXPR T convert_to() const
{
T result = T();
convert_to_imp(&result);
return result;
}
//
// Use in boolean context, and explicit conversion operators:
//
#if BOOST_WORKAROUND(BOOST_MSVC, < 1900) || (defined(__apple_build_version__) && BOOST_WORKAROUND(__clang_major__, < 9))
template <class T>
#else
template <class T, class = typename std::enable_if<std::is_enum<T>::value || !(std::is_constructible<T, detail::convertible_to<self_type const&> >::value || !std::is_default_constructible<T>::value || (!boost::multiprecision::detail::is_arithmetic<T>::value && !boost::multiprecision::detail::is_complex<T>::value)), T>::type>
#endif
explicit BOOST_MP_CXX14_CONSTEXPR operator T() const
{
return this->template convert_to<T>();
}
BOOST_MP_FORCEINLINE explicit BOOST_MP_CXX14_CONSTEXPR operator bool() const
{
return !is_zero();
}
//
// Default precision:
//
static BOOST_MP_CXX14_CONSTEXPR unsigned default_precision() noexcept
{
return Backend::default_precision();
}
static BOOST_MP_CXX14_CONSTEXPR void default_precision(unsigned digits10)
{
Backend::default_precision(digits10);
Backend::thread_default_precision(digits10);
}
static BOOST_MP_CXX14_CONSTEXPR unsigned thread_default_precision() noexcept
{
return Backend::thread_default_precision();
}
static BOOST_MP_CXX14_CONSTEXPR void thread_default_precision(unsigned digits10)
{
Backend::thread_default_precision(digits10);
}
BOOST_MP_CXX14_CONSTEXPR unsigned precision() const noexcept
{
return m_backend.precision();
}
BOOST_MP_CXX14_CONSTEXPR void precision(unsigned digits10)
{
m_backend.precision(digits10);
}
//
// Variable precision options:
//
static constexpr variable_precision_options default_variable_precision_options()noexcept
{
return Backend::default_variable_precision_options();
}
static constexpr variable_precision_options thread_default_variable_precision_options()noexcept
{
return Backend::thread_default_variable_precision_options();
}
static BOOST_MP_CXX14_CONSTEXPR void default_variable_precision_options(variable_precision_options opts)
{
Backend::default_variable_precision_options(opts);
Backend::thread_default_variable_precision_options(opts);
}
static BOOST_MP_CXX14_CONSTEXPR void thread_default_variable_precision_options(variable_precision_options opts)
{
Backend::thread_default_variable_precision_options(opts);
}
//
// Comparison:
//
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR int compare(const number<Backend, ExpressionTemplates>& o) const
noexcept(noexcept(std::declval<Backend>().compare(std::declval<Backend>())))
{
return m_backend.compare(o.m_backend);
}
template <class V>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<boost::multiprecision::detail::is_arithmetic<V>::value && (number_category<Backend>::value != number_kind_complex), int>::type compare(const V& o) const
{
using default_ops::eval_get_sign;
if (o == 0)
return eval_get_sign(m_backend);
return m_backend.compare(canonical_value(o));
}
template <class V>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<boost::multiprecision::detail::is_arithmetic<V>::value && (number_category<Backend>::value == number_kind_complex), int>::type compare(const V& o) const
{
using default_ops::eval_get_sign;
return m_backend.compare(canonical_value(o));
}
//
// Direct access to the underlying backend:
//
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR Backend& backend() & noexcept
{
return m_backend;
}
BOOST_MP_FORCEINLINE constexpr const Backend& backend() const& noexcept { return m_backend; }
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR Backend&& backend() && noexcept { return static_cast<Backend&&>(m_backend); }
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR Backend const&& backend() const&& noexcept { return static_cast<Backend const&&>(m_backend); }
//
// Complex number real and imag:
//
BOOST_MP_CXX14_CONSTEXPR typename scalar_result_from_possible_complex<number<Backend, ExpressionTemplates> >::type
real() const
{
using default_ops::eval_real;
detail::scoped_default_precision<typename scalar_result_from_possible_complex<multiprecision::number<Backend, ExpressionTemplates> >::type> precision_guard(*this);
typename scalar_result_from_possible_complex<multiprecision::number<Backend, ExpressionTemplates> >::type result;
eval_real(result.backend(), backend());
return result;
}
BOOST_MP_CXX14_CONSTEXPR typename scalar_result_from_possible_complex<number<Backend, ExpressionTemplates> >::type
imag() const
{
using default_ops::eval_imag;
detail::scoped_default_precision<typename scalar_result_from_possible_complex<multiprecision::number<Backend, ExpressionTemplates> >::type> precision_guard(*this);
typename scalar_result_from_possible_complex<multiprecision::number<Backend, ExpressionTemplates> >::type result;
eval_imag(result.backend(), backend());
return result;
}
template <class T>
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<T, self_type>::value, self_type&>::type real(const T& val)
{
using default_ops::eval_set_real;
eval_set_real(backend(), canonical_value(val));
return *this;
}
template <class T>
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_convertible<T, self_type>::value && number_category<self_type>::value == number_kind_complex, self_type&>::type imag(const T& val)
{
using default_ops::eval_set_imag;
eval_set_imag(backend(), canonical_value(val));
return *this;
}
private:
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<std::is_assignable<number, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type>::value>::type
do_assign(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e, const std::integral_constant<bool, false>&)
{
// The result of the expression isn't the same type as this -
// create a temporary result and assign it to *this:
using temp_type = typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type;
temp_type t(e);
*this = std::move(t);
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!std::is_assignable<number, typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type>::value>::type
do_assign(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e, const std::integral_constant<bool, false>&)
{
// The result of the expression isn't the same type as this -
// create a temporary result and assign it to *this:
using temp_type = typename detail::expression<tag, Arg1, Arg2, Arg3, Arg4>::result_type;
temp_type t(e);
this->assign(t);
}
template <class tag, class Arg1, class Arg2, class Arg3, class Arg4>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const detail::expression<tag, Arg1, Arg2, Arg3, Arg4>& e, const std::integral_constant<bool, true>&)
{
do_assign(e, tag());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::add_immediates&)
{
using default_ops::eval_add;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_add(m_backend, canonical_value(e.left().value()), canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::subtract_immediates&)
{
using default_ops::eval_subtract;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_subtract(m_backend, canonical_value(e.left().value()), canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::multiply_immediates&)
{
using default_ops::eval_multiply;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_multiply(m_backend, canonical_value(e.left().value()), canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::multiply_add&)
{
using default_ops::eval_multiply_add;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_multiply_add(m_backend, canonical_value(e.left().value()), canonical_value(e.middle().value()), canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::multiply_subtract&)
{
using default_ops::eval_multiply_subtract;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_multiply_subtract(m_backend, canonical_value(e.left().value()), canonical_value(e.middle().value()), canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::divide_immediates&)
{
using default_ops::eval_divide;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_divide(m_backend, canonical_value(e.left().value()), canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::negate&)
{
using left_type = typename Exp::left_type;
do_assign(e.left(), typename left_type::tag_type());
m_backend.negate();
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::plus&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
constexpr int const left_depth = left_type::depth;
constexpr int const right_depth = right_type::depth;
bool bl = contains_self(e.left());
bool br = contains_self(e.right());
if (bl && br)
{
self_type temp(e);
temp.m_backend.swap(this->m_backend);
}
else if (bl && is_self(e.left()))
{
// Ignore the left node, it's *this, just add the right:
do_add(e.right(), typename right_type::tag_type());
}
else if (br && is_self(e.right()))
{
// Ignore the right node, it's *this, just add the left:
do_add(e.left(), typename left_type::tag_type());
}
else if (!br && (bl || (left_depth >= right_depth)))
{ // br is always false, but if bl is true we must take the this branch:
do_assign(e.left(), typename left_type::tag_type());
do_add(e.right(), typename right_type::tag_type());
}
else
{
do_assign(e.right(), typename right_type::tag_type());
do_add(e.left(), typename left_type::tag_type());
}
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::minus&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
constexpr int const left_depth = left_type::depth;
constexpr int const right_depth = right_type::depth;
bool bl = contains_self(e.left());
bool br = contains_self(e.right());
if (bl && br)
{
self_type temp(e);
temp.m_backend.swap(this->m_backend);
}
else if (bl && is_self(e.left()))
{
// Ignore the left node, it's *this, just subtract the right:
do_subtract(e.right(), typename right_type::tag_type());
}
else if (br && is_self(e.right()))
{
// Ignore the right node, it's *this, just subtract the left and negate the result:
do_subtract(e.left(), typename left_type::tag_type());
m_backend.negate();
}
else if (!br && (bl || (left_depth >= right_depth)))
{ // br is always false, but if bl is true we must take the this branch:
do_assign(e.left(), typename left_type::tag_type());
do_subtract(e.right(), typename right_type::tag_type());
}
else
{
do_assign(e.right(), typename right_type::tag_type());
do_subtract(e.left(), typename left_type::tag_type());
m_backend.negate();
}
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::multiplies&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
constexpr int const left_depth = left_type::depth;
constexpr int const right_depth = right_type::depth;
bool bl = contains_self(e.left());
bool br = contains_self(e.right());
if (bl && br)
{
self_type temp(e);
temp.m_backend.swap(this->m_backend);
}
else if (bl && is_self(e.left()))
{
// Ignore the left node, it's *this, just add the right:
do_multiplies(e.right(), typename right_type::tag_type());
}
else if (br && is_self(e.right()))
{
// Ignore the right node, it's *this, just add the left:
do_multiplies(e.left(), typename left_type::tag_type());
}
else if (!br && (bl || (left_depth >= right_depth)))
{ // br is always false, but if bl is true we must take the this branch:
do_assign(e.left(), typename left_type::tag_type());
do_multiplies(e.right(), typename right_type::tag_type());
}
else
{
do_assign(e.right(), typename right_type::tag_type());
do_multiplies(e.left(), typename left_type::tag_type());
}
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::divides&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
bool bl = contains_self(e.left());
bool br = contains_self(e.right());
if (bl && is_self(e.left()))
{
// Ignore the left node, it's *this, just add the right:
do_divide(e.right(), typename right_type::tag_type());
}
else if (br)
{
self_type temp(e);
temp.m_backend.swap(this->m_backend);
}
else
{
do_assign(e.left(), typename left_type::tag_type());
do_divide(e.right(), typename right_type::tag_type());
}
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::modulus&)
{
//
// This operation is only valid for integer backends:
//
static_assert(number_category<Backend>::value == number_kind_integer, "The modulus operation is only valid for integer types");
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
bool bl = contains_self(e.left());
bool br = contains_self(e.right());
if (bl && is_self(e.left()))
{
// Ignore the left node, it's *this, just add the right:
do_modulus(e.right(), typename right_type::tag_type());
}
else if (br)
{
self_type temp(e);
temp.m_backend.swap(this->m_backend);
}
else
{
do_assign(e.left(), typename left_type::tag_type());
do_modulus(e.right(), typename right_type::tag_type());
}
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::modulus_immediates&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The modulus operation is only valid for integer types");
using default_ops::eval_modulus;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_modulus(m_backend, canonical_value(e.left().value()), canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::bitwise_and&)
{
//
// This operation is only valid for integer backends:
//
static_assert(number_category<Backend>::value == number_kind_integer, "Bitwise operations are only valid for integer types");
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
constexpr int const left_depth = left_type::depth;
constexpr int const right_depth = right_type::depth;
bool bl = contains_self(e.left());
bool br = contains_self(e.right());
if (bl && is_self(e.left()))
{
// Ignore the left node, it's *this, just add the right:
do_bitwise_and(e.right(), typename right_type::tag_type());
}
else if (br && is_self(e.right()))
{
do_bitwise_and(e.left(), typename left_type::tag_type());
}
else if (!br && (bl || (left_depth >= right_depth)))
{
do_assign(e.left(), typename left_type::tag_type());
do_bitwise_and(e.right(), typename right_type::tag_type());
}
else
{
do_assign(e.right(), typename right_type::tag_type());
do_bitwise_and(e.left(), typename left_type::tag_type());
}
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::bitwise_and_immediates&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "Bitwise operations are only valid for integer types");
using default_ops::eval_bitwise_and;
eval_bitwise_and(m_backend, canonical_value(e.left().value()), canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::bitwise_or&)
{
//
// This operation is only valid for integer backends:
//
static_assert(number_category<Backend>::value == number_kind_integer, "Bitwise operations are only valid for integer types");
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
constexpr int const left_depth = left_type::depth;
constexpr int const right_depth = right_type::depth;
bool bl = contains_self(e.left());
bool br = contains_self(e.right());
if (bl && is_self(e.left()))
{
// Ignore the left node, it's *this, just add the right:
do_bitwise_or(e.right(), typename right_type::tag_type());
}
else if (br && is_self(e.right()))
{
do_bitwise_or(e.left(), typename left_type::tag_type());
}
else if (!br && (bl || (left_depth >= right_depth)))
{
do_assign(e.left(), typename left_type::tag_type());
do_bitwise_or(e.right(), typename right_type::tag_type());
}
else
{
do_assign(e.right(), typename right_type::tag_type());
do_bitwise_or(e.left(), typename left_type::tag_type());
}
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::bitwise_or_immediates&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "Bitwise operations are only valid for integer types");
using default_ops::eval_bitwise_or;
eval_bitwise_or(m_backend, canonical_value(e.left().value()), canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::bitwise_xor&)
{
//
// This operation is only valid for integer backends:
//
static_assert(number_category<Backend>::value == number_kind_integer, "Bitwise operations are only valid for integer types");
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
constexpr int const left_depth = left_type::depth;
constexpr int const right_depth = right_type::depth;
bool bl = contains_self(e.left());
bool br = contains_self(e.right());
if (bl && is_self(e.left()))
{
// Ignore the left node, it's *this, just add the right:
do_bitwise_xor(e.right(), typename right_type::tag_type());
}
else if (br && is_self(e.right()))
{
do_bitwise_xor(e.left(), typename left_type::tag_type());
}
else if (!br && (bl || (left_depth >= right_depth)))
{
do_assign(e.left(), typename left_type::tag_type());
do_bitwise_xor(e.right(), typename right_type::tag_type());
}
else
{
do_assign(e.right(), typename right_type::tag_type());
do_bitwise_xor(e.left(), typename left_type::tag_type());
}
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::bitwise_xor_immediates&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "Bitwise operations are only valid for integer types");
using default_ops::eval_bitwise_xor;
eval_bitwise_xor(m_backend, canonical_value(e.left().value()), canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::terminal&)
{
if (!is_self(e))
{
m_backend = canonical_value(e.value());
}
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::function&)
{
using tag_type = typename Exp::arity;
boost::multiprecision::detail::maybe_promote_precision(this);
do_assign_function(e, tag_type());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::shift_left&)
{
// We can only shift by an integer value, not an arbitrary expression:
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type ;
using right_arity = typename right_type::arity;
static_assert(right_arity::value == 0, "The left shift operator requires an integer value for the shift operand.");
using right_value_type = typename right_type::result_type;
static_assert(boost::multiprecision::detail::is_integral<right_value_type>::value, "The left shift operator requires an integer value for the shift operand.");
using tag_type = typename left_type::tag_type;
do_assign_left_shift(e.left(), canonical_value(e.right().value()), tag_type());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::shift_right&)
{
// We can only shift by an integer value, not an arbitrary expression:
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type ;
using right_arity = typename right_type::arity;
static_assert(right_arity::value == 0, "The left shift operator requires an integer value for the shift operand.");
using right_value_type = typename right_type::result_type;
static_assert(boost::multiprecision::detail::is_integral<right_value_type>::value, "The left shift operator requires an integer value for the shift operand.");
using tag_type = typename left_type::tag_type;
do_assign_right_shift(e.left(), canonical_value(e.right().value()), tag_type());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::bitwise_complement&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise ~ operation is only valid for integer types");
using default_ops::eval_complement;
self_type temp(e.left());
eval_complement(m_backend, temp.backend());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign(const Exp& e, const detail::complement_immediates&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise ~ operation is only valid for integer types");
using default_ops::eval_complement;
eval_complement(m_backend, canonical_value(e.left().value()));
}
template <class Exp, class Val>
BOOST_MP_CXX14_CONSTEXPR void do_assign_right_shift(const Exp& e, const Val& val, const detail::terminal&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The right shift operation is only valid for integer types");
using default_ops::eval_right_shift;
detail::check_shift_range(val, std::integral_constant<bool, (sizeof(Val) > sizeof(std::size_t))>(), std::integral_constant<bool, boost::multiprecision::detail::is_signed<Val>::value&& boost::multiprecision::detail::is_integral<Val>::value>());
eval_right_shift(m_backend, canonical_value(e.value()), static_cast<std::size_t>(val));
}
template <class Exp, class Val>
BOOST_MP_CXX14_CONSTEXPR void do_assign_left_shift(const Exp& e, const Val& val, const detail::terminal&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The left shift operation is only valid for integer types");
using default_ops::eval_left_shift;
detail::check_shift_range(val, std::integral_constant<bool, (sizeof(Val) > sizeof(std::size_t))>(), std::integral_constant<bool, boost::multiprecision::detail::is_signed<Val>::value&& boost::multiprecision::detail::is_integral<Val>::value>());
eval_left_shift(m_backend, canonical_value(e.value()), static_cast<std::size_t>(val));
}
template <class Exp, class Val, class Tag>
BOOST_MP_CXX14_CONSTEXPR void do_assign_right_shift(const Exp& e, const Val& val, const Tag&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The right shift operation is only valid for integer types");
using default_ops::eval_right_shift;
self_type temp(e);
detail::check_shift_range(val, std::integral_constant<bool, (sizeof(Val) > sizeof(std::size_t))>(), std::integral_constant<bool, boost::multiprecision::detail::is_signed<Val>::value&& boost::multiprecision::detail::is_integral<Val>::value>());
eval_right_shift(m_backend, temp.backend(), static_cast<std::size_t>(val));
}
template <class Exp, class Val, class Tag>
BOOST_MP_CXX14_CONSTEXPR void do_assign_left_shift(const Exp& e, const Val& val, const Tag&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The left shift operation is only valid for integer types");
using default_ops::eval_left_shift;
self_type temp(e);
detail::check_shift_range(val, std::integral_constant<bool, (sizeof(Val) > sizeof(std::size_t))>(), std::integral_constant<bool, boost::multiprecision::detail::is_signed<Val>::value&& boost::multiprecision::detail::is_integral<Val>::value>());
eval_left_shift(m_backend, temp.backend(), static_cast<std::size_t>(val));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function(const Exp& e, const std::integral_constant<int, 1>&)
{
e.left().value()(&m_backend);
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function(const Exp& e, const std::integral_constant<int, 2>&)
{
using right_type = typename Exp::right_type ;
using tag_type = typename right_type::tag_type;
do_assign_function_1(e.left().value(), e.right_ref(), tag_type());
}
template <class F, class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_1(const F& f, const Exp& val, const detail::terminal&)
{
f(m_backend, function_arg_value(val));
}
template <class F, class Exp, class Tag>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_1(const F& f, const Exp& val, const Tag&)
{
typename Exp::result_type t(val);
f(m_backend, t.backend());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function(const Exp& e, const std::integral_constant<int, 3>&)
{
using middle_type = typename Exp::middle_type ;
using tag_type = typename middle_type::tag_type;
using end_type = typename Exp::right_type ;
using end_tag = typename end_type::tag_type ;
do_assign_function_2(e.left().value(), e.middle_ref(), e.right_ref(), tag_type(), end_tag());
}
template <class F, class Exp1, class Exp2>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_2(const F& f, const Exp1& val1, const Exp2& val2, const detail::terminal&, const detail::terminal&)
{
f(m_backend, function_arg_value(val1), function_arg_value(val2));
}
template <class F, class Exp1, class Exp2, class Tag1>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_2(const F& f, const Exp1& val1, const Exp2& val2, const Tag1&, const detail::terminal&)
{
typename Exp1::result_type temp1(val1);
f(m_backend, std::move(temp1.backend()), function_arg_value(val2));
}
template <class F, class Exp1, class Exp2, class Tag2>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_2(const F& f, const Exp1& val1, const Exp2& val2, const detail::terminal&, const Tag2&)
{
typename Exp2::result_type temp2(val2);
f(m_backend, function_arg_value(val1), std::move(temp2.backend()));
}
template <class F, class Exp1, class Exp2, class Tag1, class Tag2>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_2(const F& f, const Exp1& val1, const Exp2& val2, const Tag1&, const Tag2&)
{
typename Exp1::result_type temp1(val1);
typename Exp2::result_type temp2(val2);
f(m_backend, std::move(temp1.backend()), std::move(temp2.backend()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function(const Exp& e, const std::integral_constant<int, 4>&)
{
using left_type = typename Exp::left_middle_type ;
using left_tag_type = typename left_type::tag_type ;
using middle_type = typename Exp::right_middle_type;
using middle_tag_type = typename middle_type::tag_type ;
using right_type = typename Exp::right_type ;
using right_tag_type = typename right_type::tag_type ;
do_assign_function_3a(e.left().value(), e.left_middle_ref(), e.right_middle_ref(), e.right_ref(), left_tag_type(), middle_tag_type(), right_tag_type());
}
template <class F, class Exp1, class Exp2, class Exp3, class Tag2, class Tag3>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_3a(const F& f, const Exp1& val1, const Exp2& val2, const Exp3& val3, const detail::terminal&, const Tag2& t2, const Tag3& t3)
{
do_assign_function_3b(f, val1, val2, val3, t2, t3);
}
template <class F, class Exp1, class Exp2, class Exp3, class Tag1, class Tag2, class Tag3>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_3a(const F& f, const Exp1& val1, const Exp2& val2, const Exp3& val3, const Tag1&, const Tag2& t2, const Tag3& t3)
{
typename Exp1::result_type t(val1);
do_assign_function_3b(f, std::move(t), val2, val3, t2, t3);
}
template <class F, class Exp1, class Exp2, class Exp3, class Tag3>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_3b(const F& f, const Exp1& val1, const Exp2& val2, const Exp3& val3, const detail::terminal&, const Tag3& t3)
{
do_assign_function_3c(f, val1, val2, val3, t3);
}
template <class F, class Exp1, class Exp2, class Exp3, class Tag2, class Tag3>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_3b(const F& f, const Exp1& val1, const Exp2& val2, const Exp3& val3, const Tag2& /*t2*/, const Tag3& t3)
{
typename Exp2::result_type t(val2);
do_assign_function_3c(f, val1, std::move(t), val3, t3);
}
template <class F, class Exp1, class Exp2, class Exp3>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_3c(const F& f, const Exp1& val1, const Exp2& val2, const Exp3& val3, const detail::terminal&)
{
f(m_backend, function_arg_value(val1), function_arg_value(val2), function_arg_value(val3));
}
template <class F, class Exp1, class Exp2, class Exp3, class Tag3>
BOOST_MP_CXX14_CONSTEXPR void do_assign_function_3c(const F& f, const Exp1& val1, const Exp2& val2, const Exp3& val3, const Tag3& /*t3*/)
{
typename Exp3::result_type t(val3);
do_assign_function_3c(f, val1, val2, std::move(t), detail::terminal());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_add(const Exp& e, const detail::terminal&)
{
using default_ops::eval_add;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_add(m_backend, canonical_value(e.value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_add(const Exp& e, const detail::negate&)
{
using left_type = typename Exp::left_type;
boost::multiprecision::detail::maybe_promote_precision(this);
do_subtract(e.left(), typename left_type::tag_type());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_add(const Exp& e, const detail::plus&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
do_add(e.left(), typename left_type::tag_type());
do_add(e.right(), typename right_type::tag_type());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_add(const Exp& e, const detail::minus&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
do_add(e.left(), typename left_type::tag_type());
do_subtract(e.right(), typename right_type::tag_type());
}
template <class Exp, class unknown>
BOOST_MP_CXX14_CONSTEXPR void do_add(const Exp& e, const unknown&)
{
self_type temp(e);
do_add(detail::expression<detail::terminal, self_type>(temp), detail::terminal());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_add(const Exp& e, const detail::add_immediates&)
{
using default_ops::eval_add;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_add(m_backend, canonical_value(e.left().value()));
eval_add(m_backend, canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_add(const Exp& e, const detail::subtract_immediates&)
{
using default_ops::eval_add;
using default_ops::eval_subtract;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_add(m_backend, canonical_value(e.left().value()));
eval_subtract(m_backend, canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_subtract(const Exp& e, const detail::terminal&)
{
using default_ops::eval_subtract;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_subtract(m_backend, canonical_value(e.value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_subtract(const Exp& e, const detail::negate&)
{
using left_type = typename Exp::left_type;
do_add(e.left(), typename left_type::tag_type());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_subtract(const Exp& e, const detail::plus&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
do_subtract(e.left(), typename left_type::tag_type());
do_subtract(e.right(), typename right_type::tag_type());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_subtract(const Exp& e, const detail::minus&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
do_subtract(e.left(), typename left_type::tag_type());
do_add(e.right(), typename right_type::tag_type());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_subtract(const Exp& e, const detail::add_immediates&)
{
using default_ops::eval_subtract;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_subtract(m_backend, canonical_value(e.left().value()));
eval_subtract(m_backend, canonical_value(e.right().value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_subtract(const Exp& e, const detail::subtract_immediates&)
{
using default_ops::eval_add;
using default_ops::eval_subtract;
eval_subtract(m_backend, canonical_value(e.left().value()));
eval_add(m_backend, canonical_value(e.right().value()));
}
template <class Exp, class unknown>
BOOST_MP_CXX14_CONSTEXPR void do_subtract(const Exp& e, const unknown&)
{
self_type temp(e);
do_subtract(detail::expression<detail::terminal, self_type>(temp), detail::terminal());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_multiplies(const Exp& e, const detail::terminal&)
{
using default_ops::eval_multiply;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_multiply(m_backend, canonical_value(e.value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_multiplies(const Exp& e, const detail::negate&)
{
using left_type = typename Exp::left_type;
do_multiplies(e.left(), typename left_type::tag_type());
m_backend.negate();
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_multiplies(const Exp& e, const detail::multiplies&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
do_multiplies(e.left(), typename left_type::tag_type());
do_multiplies(e.right(), typename right_type::tag_type());
}
//
// This rearrangement is disabled for integer types, the test on sizeof(Exp) is simply to make
// the disable_if dependent on the template argument (the size of 1 can never occur in practice).
//
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!(boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_integer || sizeof(Exp) == 1)>::type
do_multiplies(const Exp& e, const detail::divides&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
do_multiplies(e.left(), typename left_type::tag_type());
do_divide(e.right(), typename right_type::tag_type());
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_multiplies(const Exp& e, const detail::multiply_immediates&)
{
using default_ops::eval_multiply;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_multiply(m_backend, canonical_value(e.left().value()));
eval_multiply(m_backend, canonical_value(e.right().value()));
}
//
// This rearrangement is disabled for integer types, the test on sizeof(Exp) is simply to make
// the disable_if dependent on the template argument (the size of 1 can never occur in practice).
//
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!(boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_integer || sizeof(Exp) == 1)>::type
do_multiplies(const Exp& e, const detail::divide_immediates&)
{
using default_ops::eval_divide;
using default_ops::eval_multiply;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_multiply(m_backend, canonical_value(e.left().value()));
eval_divide(m_backend, canonical_value(e.right().value()));
}
template <class Exp, class unknown>
BOOST_MP_CXX14_CONSTEXPR void do_multiplies(const Exp& e, const unknown&)
{
using default_ops::eval_multiply;
boost::multiprecision::detail::maybe_promote_precision(this);
self_type temp(e);
eval_multiply(m_backend, temp.m_backend);
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_divide(const Exp& e, const detail::terminal&)
{
using default_ops::eval_divide;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_divide(m_backend, canonical_value(e.value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_divide(const Exp& e, const detail::negate&)
{
using left_type = typename Exp::left_type;
do_divide(e.left(), typename left_type::tag_type());
m_backend.negate();
}
//
// This rearrangement is disabled for integer types, the test on sizeof(Exp) is simply to make
// the disable_if dependent on the template argument (the size of 1 can never occur in practice).
//
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!(boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_integer || sizeof(Exp) == 1)>::type
do_divide(const Exp& e, const detail::multiplies&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
do_divide(e.left(), typename left_type::tag_type());
do_divide(e.right(), typename right_type::tag_type());
}
//
// This rearrangement is disabled for integer types, the test on sizeof(Exp) is simply to make
// the disable_if dependent on the template argument (the size of 1 can never occur in practice).
//
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!(boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_integer || sizeof(Exp) == 1)>::type
do_divide(const Exp& e, const detail::divides&)
{
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
do_divide(e.left(), typename left_type::tag_type());
do_multiplies(e.right(), typename right_type::tag_type());
}
//
// This rearrangement is disabled for integer types, the test on sizeof(Exp) is simply to make
// the disable_if dependent on the template argument (the size of 1 can never occur in practice).
//
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!(boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_integer || sizeof(Exp) == 1)>::type
do_divides(const Exp& e, const detail::multiply_immediates&)
{
using default_ops::eval_divide;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_divide(m_backend, canonical_value(e.left().value()));
eval_divide(m_backend, canonical_value(e.right().value()));
}
//
// This rearrangement is disabled for integer types, the test on sizeof(Exp) is simply to make
// the disable_if dependent on the template argument (the size of 1 can never occur in practice).
//
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!(boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_integer || sizeof(Exp) == 1)>::type
do_divides(const Exp& e, const detail::divide_immediates&)
{
using default_ops::eval_divide;
using default_ops::eval_multiply;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_divide(m_backend, canonical_value(e.left().value()));
mutiply(m_backend, canonical_value(e.right().value()));
}
template <class Exp, class unknown>
BOOST_MP_CXX14_CONSTEXPR void do_divide(const Exp& e, const unknown&)
{
using default_ops::eval_multiply;
boost::multiprecision::detail::maybe_promote_precision(this);
self_type temp(e);
eval_divide(m_backend, temp.m_backend);
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_modulus(const Exp& e, const detail::terminal&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The modulus operation is only valid for integer types");
using default_ops::eval_modulus;
boost::multiprecision::detail::maybe_promote_precision(this);
eval_modulus(m_backend, canonical_value(e.value()));
}
template <class Exp, class Unknown>
BOOST_MP_CXX14_CONSTEXPR void do_modulus(const Exp& e, const Unknown&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The modulus operation is only valid for integer types");
using default_ops::eval_modulus;
boost::multiprecision::detail::maybe_promote_precision(this);
self_type temp(e);
eval_modulus(m_backend, canonical_value(temp));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_bitwise_and(const Exp& e, const detail::terminal&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise & operation is only valid for integer types");
using default_ops::eval_bitwise_and;
eval_bitwise_and(m_backend, canonical_value(e.value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_bitwise_and(const Exp& e, const detail::bitwise_and&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise & operation is only valid for integer types");
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
do_bitwise_and(e.left(), typename left_type::tag_type());
do_bitwise_and(e.right(), typename right_type::tag_type());
}
template <class Exp, class unknown>
BOOST_MP_CXX14_CONSTEXPR void do_bitwise_and(const Exp& e, const unknown&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise & operation is only valid for integer types");
using default_ops::eval_bitwise_and;
self_type temp(e);
eval_bitwise_and(m_backend, temp.m_backend);
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_bitwise_or(const Exp& e, const detail::terminal&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise | operation is only valid for integer types");
using default_ops::eval_bitwise_or;
eval_bitwise_or(m_backend, canonical_value(e.value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_bitwise_or(const Exp& e, const detail::bitwise_or&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise | operation is only valid for integer types");
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
do_bitwise_or(e.left(), typename left_type::tag_type());
do_bitwise_or(e.right(), typename right_type::tag_type());
}
template <class Exp, class unknown>
BOOST_MP_CXX14_CONSTEXPR void do_bitwise_or(const Exp& e, const unknown&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise | operation is only valid for integer types");
using default_ops::eval_bitwise_or;
self_type temp(e);
eval_bitwise_or(m_backend, temp.m_backend);
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_bitwise_xor(const Exp& e, const detail::terminal&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise ^ operation is only valid for integer types");
using default_ops::eval_bitwise_xor;
eval_bitwise_xor(m_backend, canonical_value(e.value()));
}
template <class Exp>
BOOST_MP_CXX14_CONSTEXPR void do_bitwise_xor(const Exp& e, const detail::bitwise_xor&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise ^ operation is only valid for integer types");
using left_type = typename Exp::left_type ;
using right_type = typename Exp::right_type;
do_bitwise_xor(e.left(), typename left_type::tag_type());
do_bitwise_xor(e.right(), typename right_type::tag_type());
}
template <class Exp, class unknown>
BOOST_MP_CXX14_CONSTEXPR void do_bitwise_xor(const Exp& e, const unknown&)
{
static_assert(number_category<Backend>::value == number_kind_integer, "The bitwise ^ operation is only valid for integer types");
using default_ops::eval_bitwise_xor;
self_type temp(e);
eval_bitwise_xor(m_backend, temp.m_backend);
}
// Tests if the expression contains a reference to *this:
template <class Exp>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR bool contains_self(const Exp& e) const noexcept
{
return contains_self(e, typename Exp::arity());
}
template <class Exp>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR bool contains_self(const Exp& e, std::integral_constant<int, 0> const&) const noexcept
{
return is_realy_self(e.value());
}
template <class Exp>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR bool contains_self(const Exp& e, std::integral_constant<int, 1> const&) const noexcept
{
using child_type = typename Exp::left_type;
return contains_self(e.left(), typename child_type::arity());
}
template <class Exp>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR bool contains_self(const Exp& e, std::integral_constant<int, 2> const&) const noexcept
{
using child0_type = typename Exp::left_type ;
using child1_type = typename Exp::right_type;
return contains_self(e.left(), typename child0_type::arity()) || contains_self(e.right(), typename child1_type::arity());
}
template <class Exp>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR bool contains_self(const Exp& e, std::integral_constant<int, 3> const&) const noexcept
{
using child0_type = typename Exp::left_type ;
using child1_type = typename Exp::middle_type;
using child2_type = typename Exp::right_type ;
return contains_self(e.left(), typename child0_type::arity()) || contains_self(e.middle(), typename child1_type::arity()) || contains_self(e.right(), typename child2_type::arity());
}
template <class Exp>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR bool contains_self(const Exp& e, std::integral_constant<int, 4> const&) const noexcept
{
using child0_type = typename Exp::left_type;
using child1_type = typename Exp::left_middle_type;
using child2_type = typename Exp::right_middle_type;
using child3_type = typename Exp::right_type;
return contains_self(e.left(), typename child0_type::arity()) || contains_self(e.left_middle(), typename child1_type::arity()) || contains_self(e.right_middle(), typename child2_type::arity()) || contains_self(e.right(), typename child3_type::arity());
}
// Test if the expression is a reference to *this:
template <class Exp>
BOOST_MP_FORCEINLINE constexpr bool is_self(const Exp& e) const noexcept
{
return is_self(e, typename Exp::arity());
}
template <class Exp>
BOOST_MP_FORCEINLINE constexpr bool is_self(const Exp& e, std::integral_constant<int, 0> const&) const noexcept
{
return is_realy_self(e.value());
}
template <class Exp, int v>
BOOST_MP_FORCEINLINE constexpr bool is_self(const Exp&, std::integral_constant<int, v> const&) const noexcept
{
return false;
}
template <class Val>
BOOST_MP_FORCEINLINE constexpr bool is_realy_self(const Val&) const noexcept { return false; }
BOOST_MP_FORCEINLINE constexpr bool is_realy_self(const self_type& v) const noexcept { return &v == this; }
static BOOST_MP_FORCEINLINE constexpr const Backend& function_arg_value(const self_type& v) noexcept { return v.backend(); }
template <class Other, expression_template_option ET2>
static BOOST_MP_FORCEINLINE constexpr const Other& function_arg_value(const number<Other, ET2>& v) noexcept { return v.backend(); }
template <class V>
static BOOST_MP_FORCEINLINE constexpr const V& function_arg_value(const V& v) noexcept { return v; }
template <class A1, class A2, class A3, class A4>
static BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR const A1& function_arg_value(const detail::expression<detail::terminal, A1, A2, A3, A4>& exp) noexcept { return exp.value(); }
template <class A2, class A3, class A4>
static BOOST_MP_FORCEINLINE constexpr const Backend& function_arg_value(const detail::expression<detail::terminal, number<Backend>, A2, A3, A4>& exp) noexcept { return exp.value().backend(); }
Backend m_backend;
public:
//
// These shouldn't really need to be public, or even member functions, but it makes implementing
// the non-member operators way easier if they are:
//
static BOOST_MP_FORCEINLINE constexpr const Backend& canonical_value(const self_type& v) noexcept { return v.m_backend; }
template <class B2, expression_template_option ET>
static BOOST_MP_FORCEINLINE constexpr const B2& canonical_value(const number<B2, ET>& v) noexcept { return v.backend(); }
template <class B2, expression_template_option ET>
static BOOST_MP_FORCEINLINE constexpr B2&& canonical_value(number<B2, ET>&& v) noexcept { return static_cast<number<B2, ET>&&>(v).backend(); }
template <class V>
static BOOST_MP_FORCEINLINE constexpr typename std::enable_if<!std::is_same<typename detail::canonical<V, Backend>::type, V>::value, typename detail::canonical<V, Backend>::type>::type
canonical_value(const V& v) noexcept { return static_cast<typename detail::canonical<V, Backend>::type>(v); }
template <class V>
static BOOST_MP_FORCEINLINE constexpr typename std::enable_if<std::is_same<typename detail::canonical<V, Backend>::type, V>::value, const V&>::type
canonical_value(const V& v) noexcept { return v; }
static BOOST_MP_FORCEINLINE typename detail::canonical<std::string, Backend>::type canonical_value(const std::string& v) noexcept { return v.c_str(); }
};
template <class Backend, expression_template_option ExpressionTemplates>
inline std::ostream& operator<<(std::ostream& os, const number<Backend, ExpressionTemplates>& r)
{
std::streamsize d = os.precision();
std::string s = r.str(d, os.flags());
std::streamsize ss = os.width();
if (ss > static_cast<std::streamsize>(s.size()))
{
char fill = os.fill();
if ((os.flags() & std::ios_base::left) == std::ios_base::left)
s.append(static_cast<std::string::size_type>(ss - static_cast<std::streamsize>(s.size())), fill);
else
s.insert(static_cast<std::string::size_type>(0), static_cast<std::string::size_type>(ss - static_cast<std::streamsize>(s.size())), fill);
}
return os << s;
}
template <class Backend, expression_template_option ExpressionTemplates>
std::string to_string(const number<Backend, ExpressionTemplates>& val)
{
return val.str(6, std::ios_base::fixed|std::ios_base::showpoint);
}
namespace detail {
template <class tag, class A1, class A2, class A3, class A4>
inline std::ostream& operator<<(std::ostream& os, const expression<tag, A1, A2, A3, A4>& r)
{
using value_type = typename expression<tag, A1, A2, A3, A4>::result_type;
value_type temp(r);
return os << temp;
}
//
// What follows is the input streaming code: this is not "proper" iostream code at all
// but that's fiendishly hard to write when dealing with multiple backends all
// with different requirements... yes we could deligate this to the backend author...
// but we really want backends to be EASY to write!
// For now just pull in all the characters that could possibly form the number
// and let the backend's string parser make use of it. This fixes most use cases
// including CSV type formats such as those used by the Random lib.
//
inline std::string read_string_while(std::istream& is, std::string const& permitted_chars)
{
std::ios_base::iostate state = std::ios_base::goodbit;
const std::istream::sentry sentry_check(is);
std::string result;
if (sentry_check)
{
int c = is.rdbuf()->sgetc();
for (;; c = is.rdbuf()->snextc())
if (std::istream::traits_type::eq_int_type(std::istream::traits_type::eof(), c))
{ // end of file:
state |= std::ios_base::eofbit;
break;
}
else if (permitted_chars.find_first_of(std::istream::traits_type::to_char_type(c)) == std::string::npos)
{
// Invalid numeric character, stop reading:
//is.rdbuf()->sputbackc(static_cast<char>(c));
break;
}
else
{
result.append(1, std::istream::traits_type::to_char_type(c));
}
}
if (!result.size())
state |= std::ios_base::failbit;
is.setstate(state);
return result;
}
} // namespace detail
template <class Backend, expression_template_option ExpressionTemplates>
inline std::istream& operator>>(std::istream& is, number<Backend, ExpressionTemplates>& r)
{
bool hex_format = (is.flags() & std::ios_base::hex) == std::ios_base::hex;
bool oct_format = (is.flags() & std::ios_base::oct) == std::ios_base::oct;
std::string s;
switch (boost::multiprecision::number_category<number<Backend, ExpressionTemplates> >::value)
{
case boost::multiprecision::number_kind_integer:
if (oct_format)
s = detail::read_string_while(is, "+-01234567");
else if (hex_format)
s = detail::read_string_while(is, "+-xXabcdefABCDEF0123456789");
else
s = detail::read_string_while(is, "+-0123456789");
break;
case boost::multiprecision::number_kind_rational:
if (oct_format)
s = detail::read_string_while(is, "+-01234567/");
else if (hex_format)
s = detail::read_string_while(is, "+-xXabcdefABCDEF0123456789/");
else
s = detail::read_string_while(is, "+-0123456789/");
break;
case boost::multiprecision::number_kind_floating_point:
BOOST_IF_CONSTEXPR(std::is_same<number<Backend, ExpressionTemplates>, typename number<Backend, ExpressionTemplates>::value_type>::value)
s = detail::read_string_while(is, "+-eE.0123456789infINFnanNANinfinityINFINITY");
else
// Interval:
s = detail::read_string_while(is, "+-eE.0123456789infINFnanNANinfinityINFINITY{,}");
break;
case boost::multiprecision::number_kind_complex:
s = detail::read_string_while(is, "+-eE.0123456789infINFnanNANinfinityINFINITY,()");
break;
default:
is >> s;
}
if (s.size())
{
if (hex_format && (number_category<Backend>::value == number_kind_integer) && ((s[0] != '0') || (s[1] != 'x')))
s.insert(s.find_first_not_of("+-"), "0x");
if (oct_format && (number_category<Backend>::value == number_kind_integer) && (s[0] != '0'))
s.insert(s.find_first_not_of("+-"), "0");
r.assign(s);
}
else if (!is.fail())
is.setstate(std::istream::failbit);
return is;
}
template <class Backend, expression_template_option ExpressionTemplates>
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR void swap(number<Backend, ExpressionTemplates>& a, number<Backend, ExpressionTemplates>& b)
noexcept(noexcept(std::declval<number<Backend, ExpressionTemplates>&>() = std::declval<number<Backend, ExpressionTemplates>&>()))
{
a.swap(b);
}
//
// Boost.Hash support, just call hash_value for the backend, which may or may not be supported:
//
template <class Backend, expression_template_option ExpressionTemplates>
inline BOOST_MP_CXX14_CONSTEXPR std::size_t hash_value(const number<Backend, ExpressionTemplates>& val)
{
return hash_value(val.backend());
}
namespace detail {
BOOST_MP_FORCEINLINE bool istream_peek(std::istream& is, char& c, bool have_hex)
{
int i = is.peek();
c = static_cast<char>(i);
return (EOF != i) && (c == 'x' || c == 'X' || c == '-' || c == '+' || (c >= '0' && c <= '9') || (have_hex && (c >= 'a' && c <= 'f')) || (have_hex && (c >= 'A' && c <= 'F')));
}
} // namespace detail
} // namespace multiprecision
template <class T>
class rational;
template <class Backend, multiprecision::expression_template_option ExpressionTemplates>
inline std::istream& operator>>(std::istream& is, rational<multiprecision::number<Backend, ExpressionTemplates> >& r)
{
std::string s1;
multiprecision::number<Backend, ExpressionTemplates> v1, v2;
char c;
bool have_hex = false;
bool hex_format = (is.flags() & std::ios_base::hex) == std::ios_base::hex;
bool oct_format = (is.flags() & std::ios_base::oct) == std::ios_base::oct;
while (multiprecision::detail::istream_peek(is, c, have_hex))
{
if (c == 'x' || c == 'X')
have_hex = true;
s1.append(1, c);
is.get();
}
if (hex_format && ((s1[0] != '0') || (s1[1] != 'x')))
s1.insert(static_cast<std::string::size_type>(0), "0x");
if (oct_format && (s1[0] != '0'))
s1.insert(static_cast<std::string::size_type>(0), "0");
v1.assign(s1);
s1.erase();
if (c == '/')
{
is.get();
while (multiprecision::detail::istream_peek(is, c, have_hex))
{
if (c == 'x' || c == 'X')
have_hex = true;
s1.append(1, c);
is.get();
}
if (hex_format && ((s1[0] != '0') || (s1[1] != 'x')))
s1.insert(static_cast<std::string::size_type>(0), "0x");
if (oct_format && (s1[0] != '0'))
s1.insert(static_cast<std::string::size_type>(0), "0");
v2.assign(s1);
}
else
v2 = 1;
r.assign(v1, v2);
return is;
}
template <class T, multiprecision::expression_template_option ExpressionTemplates>
inline BOOST_MP_CXX14_CONSTEXPR multiprecision::number<T, ExpressionTemplates> numerator(const rational<multiprecision::number<T, ExpressionTemplates> >& a)
{
return a.numerator();
}
template <class T, multiprecision::expression_template_option ExpressionTemplates>
inline BOOST_MP_CXX14_CONSTEXPR multiprecision::number<T, ExpressionTemplates> denominator(const rational<multiprecision::number<T, ExpressionTemplates> >& a)
{
return a.denominator();
}
template <class T, multiprecision::expression_template_option ExpressionTemplates>
inline BOOST_MP_CXX14_CONSTEXPR std::size_t hash_value(const rational<multiprecision::number<T, ExpressionTemplates> >& val)
{
std::size_t result = hash_value(val.numerator());
boost::multiprecision::detail::hash_combine(result, hash_value(val.denominator()));
return result;
}
namespace multiprecision {
template <class I>
struct component_type<boost::rational<I> >
{
using type = I;
};
} // namespace multiprecision
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
} // namespace boost
namespace std {
template <class Backend, boost::multiprecision::expression_template_option ExpressionTemplates>
struct hash<boost::multiprecision::number<Backend, ExpressionTemplates> >
{
BOOST_MP_CXX14_CONSTEXPR std::size_t operator()(const boost::multiprecision::number<Backend, ExpressionTemplates>& val) const { return hash_value(val); }
};
template <class Backend, boost::multiprecision::expression_template_option ExpressionTemplates>
struct hash<boost::rational<boost::multiprecision::number<Backend, ExpressionTemplates> > >
{
BOOST_MP_CXX14_CONSTEXPR std::size_t operator()(const boost::rational<boost::multiprecision::number<Backend, ExpressionTemplates> >& val) const
{
std::size_t result = hash_value(val.numerator());
boost::multiprecision::detail::hash_combine(result, hash_value(val.denominator()));
return result;
}
};
} // namespace std
#include <boost/multiprecision/detail/ublas_interop.hpp>
#endif