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/////////////////////////////////////////////////////////////////////////////// // Copyright 2012 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_COMPARE_HPP #define BOOST_MP_COMPARE_HPP #include <boost/multiprecision/traits/is_backend.hpp> // // Comparison operators for number. // namespace boost { namespace multiprecision { namespace default_ops { // // The dispatching mechanism used here to deal with differently typed arguments // could be better replaced with enable_if overloads, but that breaks MSVC-12 // under strange and hard to reproduce circumstances. // template <class B> inline BOOST_MP_CXX14_CONSTEXPR bool eval_eq(const B& a, const B& b) { return a.compare(b) == 0; } template <class T, class U> inline BOOST_MP_CXX14_CONSTEXPR bool eval_eq_imp(const T& a, const U& b, const mpl::true_&) { typename boost::multiprecision::detail::number_from_backend<T, U>::type t(b); return eval_eq(a, t.backend()); } template <class T, class U> inline BOOST_MP_CXX14_CONSTEXPR bool eval_eq_imp(const T& a, const U& b, const mpl::false_&) { typename boost::multiprecision::detail::number_from_backend<U, T>::type t(a); return eval_eq(t.backend(), b); } template <class T, class U> inline BOOST_MP_CXX14_CONSTEXPR bool eval_eq(const T& a, const U& b) { typedef mpl::bool_<boost::multiprecision::detail::is_first_backend<T, U>::value> tag_type; return eval_eq_imp(a, b, tag_type()); } template <class B> inline BOOST_MP_CXX14_CONSTEXPR bool eval_lt(const B& a, const B& b) { return a.compare(b) < 0; } template <class T, class U> inline BOOST_MP_CXX14_CONSTEXPR bool eval_lt_imp(const T& a, const U& b, const mpl::true_&) { typename boost::multiprecision::detail::number_from_backend<T, U>::type t(b); return eval_lt(a, t.backend()); } template <class T, class U> inline BOOST_MP_CXX14_CONSTEXPR bool eval_lt_imp(const T& a, const U& b, const mpl::false_&) { typename boost::multiprecision::detail::number_from_backend<U, T>::type t(a); return eval_lt(t.backend(), b); } template <class T, class U> inline BOOST_MP_CXX14_CONSTEXPR bool eval_lt(const T& a, const U& b) { typedef mpl::bool_<boost::multiprecision::detail::is_first_backend<T, U>::value> tag_type; return eval_lt_imp(a, b, tag_type()); } template <class B> inline BOOST_MP_CXX14_CONSTEXPR bool eval_gt(const B& a, const B& b) { return a.compare(b) > 0; } template <class T, class U> inline BOOST_MP_CXX14_CONSTEXPR bool eval_gt_imp(const T& a, const U& b, const mpl::true_&) { typename boost::multiprecision::detail::number_from_backend<T, U>::type t(b); return eval_gt(a, t.backend()); } template <class T, class U> inline BOOST_MP_CXX14_CONSTEXPR bool eval_gt_imp(const T& a, const U& b, const mpl::false_&) { typename boost::multiprecision::detail::number_from_backend<U, T>::type t(a); return eval_gt(t.backend(), b); } template <class T, class U> inline BOOST_MP_CXX14_CONSTEXPR bool eval_gt(const T& a, const U& b) { typedef mpl::bool_<boost::multiprecision::detail::is_first_backend<T, U>::value> tag_type; return eval_gt_imp(a, b, tag_type()); } } // namespace default_ops namespace detail { template <class Num, class Val> struct is_valid_mixed_compare : public mpl::false_ {}; template <class B, expression_template_option ET, class Val> struct is_valid_mixed_compare<number<B, ET>, Val> : public is_convertible<Val, number<B, ET> > {}; template <class B, expression_template_option ET> struct is_valid_mixed_compare<number<B, ET>, number<B, ET> > : public mpl::false_ {}; template <class B, expression_template_option ET, class tag, class Arg1, class Arg2, class Arg3, class Arg4> struct is_valid_mixed_compare<number<B, ET>, expression<tag, Arg1, Arg2, Arg3, Arg4> > : public mpl::bool_<is_convertible<expression<tag, Arg1, Arg2, Arg3, Arg4>, number<B, ET> >::value> {}; template <class tag, class Arg1, class Arg2, class Arg3, class Arg4, class B, expression_template_option ET> struct is_valid_mixed_compare<expression<tag, Arg1, Arg2, Arg3, Arg4>, number<B, ET> > : public mpl::bool_<is_convertible<expression<tag, Arg1, Arg2, Arg3, Arg4>, number<B, ET> >::value> {}; template <class Backend, expression_template_option ExpressionTemplates> inline BOOST_CONSTEXPR typename boost::enable_if_c<number_category<Backend>::value != number_kind_floating_point, bool>::type is_unordered_value(const number<Backend, ExpressionTemplates>&) { return false; } template <class Backend, expression_template_option ExpressionTemplates> inline #if !BOOST_WORKAROUND(BOOST_GCC_VERSION, < 40700) BOOST_CONSTEXPR #endif typename boost::enable_if_c<number_category<Backend>::value == number_kind_floating_point, bool>::type is_unordered_value(const number<Backend, ExpressionTemplates>& a) { using default_ops::eval_fpclassify; return eval_fpclassify(a.backend()) == FP_NAN; } template <class Arithmetic> inline BOOST_CONSTEXPR typename boost::enable_if_c<number_category<Arithmetic>::value != number_kind_floating_point, bool>::type is_unordered_value(const Arithmetic&) { return false; } template <class Arithmetic> inline #ifndef BOOST_MP_NO_CONSTEXPR_DETECTION BOOST_MP_CXX14_CONSTEXPR #endif typename boost::enable_if_c < number_category < Arithmetic> ::value == number_kind_floating_point, bool> ::type is_unordered_value(const Arithmetic& a) { #ifndef BOOST_MP_NO_CONSTEXPR_DETECTION if (BOOST_MP_IS_CONST_EVALUATED(a)) { return a != a; } else #endif { return (boost::math::isnan)(a); } } template <class T, class U> inline BOOST_CONSTEXPR bool is_unordered_comparison(const T& a, const U& b) { return is_unordered_value(a) || is_unordered_value(b); } } // namespace detail template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR bool operator==(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { using default_ops::eval_eq; if (detail::is_unordered_comparison(a, b)) return false; return eval_eq(a.backend(), b.backend()); } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type operator==(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { using default_ops::eval_eq; if (detail::is_unordered_comparison(a, b)) return false; return eval_eq(a.backend(), number<Backend, ExpressionTemplates>::canonical_value(b)); } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type operator==(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { using default_ops::eval_eq; if (detail::is_unordered_comparison(a, b)) return false; return eval_eq(b.backend(), number<Backend, ExpressionTemplates>::canonical_value(a)); } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type operator==(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_eq; result_type t(b); if (detail::is_unordered_comparison(a, t)) return false; return eval_eq(t.backend(), result_type::canonical_value(a)); } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type operator==(const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_eq; result_type t(a); if (detail::is_unordered_comparison(t, b)) return false; return eval_eq(t.backend(), result_type::canonical_value(b)); } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>, bool>::type operator==(const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b) { using default_ops::eval_eq; typename detail::expression<Tag, A1, A2, A3, A4>::result_type t(a); typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type t2(b); if (detail::is_unordered_comparison(t, t2)) return false; return eval_eq(t.backend(), t2.backend()); } template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR bool operator!=(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { using default_ops::eval_eq; if (detail::is_unordered_comparison(a, b)) return true; return !eval_eq(a.backend(), b.backend()); } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type operator!=(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { using default_ops::eval_eq; if (detail::is_unordered_comparison(a, b)) return true; return !eval_eq(a.backend(), number<Backend, et_on>::canonical_value(b)); } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type operator!=(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { using default_ops::eval_eq; if (detail::is_unordered_comparison(a, b)) return true; return !eval_eq(b.backend(), number<Backend, et_on>::canonical_value(a)); } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type operator!=(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_eq; result_type t(b); if (detail::is_unordered_comparison(a, t)) return true; return !eval_eq(t.backend(), result_type::canonical_value(a)); } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type operator!=(const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_eq; result_type t(a); if (detail::is_unordered_comparison(t, b)) return true; return !eval_eq(t.backend(), result_type::canonical_value(b)); } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>, bool>::type operator!=(const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b) { using default_ops::eval_eq; typename detail::expression<Tag, A1, A2, A3, A4>::result_type t(a); typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type t2(b); if (detail::is_unordered_comparison(t, t2)) return true; return !eval_eq(t.backend(), t2.backend()); } template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR typename boost::enable_if_c<(number_category<Backend>::value != number_kind_complex) && (number_category<Backend2>::value != number_kind_complex), bool>::type operator<(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { using default_ops::eval_lt; if (detail::is_unordered_comparison(a, b)) return false; return eval_lt(a.backend(), b.backend()); } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value && (number_category<Backend>::value != number_kind_complex), bool>::type operator<(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { using default_ops::eval_lt; if (detail::is_unordered_comparison(a, b)) return false; return eval_lt(a.backend(), number<Backend, ExpressionTemplates>::canonical_value(b)); } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value && (number_category<Backend>::value != number_kind_complex), bool>::type operator<(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { using default_ops::eval_gt; if (detail::is_unordered_comparison(a, b)) return false; return eval_gt(b.backend(), number<Backend, ExpressionTemplates>::canonical_value(a)); } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator<(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_gt; result_type t(b); if (detail::is_unordered_comparison(a, t)) return false; return eval_gt(t.backend(), result_type::canonical_value(a)); } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator<(const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_lt; result_type t(a); if (detail::is_unordered_comparison(t, b)) return false; return eval_lt(t.backend(), result_type::canonical_value(b)); } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator<(const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b) { using default_ops::eval_lt; typename detail::expression<Tag, A1, A2, A3, A4>::result_type t(a); typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type t2(b); if (detail::is_unordered_comparison(t, t2)) return false; return eval_lt(t.backend(), t2.backend()); } template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR typename boost::enable_if_c<(number_category<Backend>::value != number_kind_complex) && (number_category<Backend2>::value != number_kind_complex), bool>::type operator>(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { using default_ops::eval_gt; if (detail::is_unordered_comparison(a, b)) return false; return eval_gt(a.backend(), b.backend()); } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value && (number_category<Backend>::value != number_kind_complex), bool>::type operator>(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { using default_ops::eval_gt; if (detail::is_unordered_comparison(a, b)) return false; return eval_gt(a.backend(), number<Backend, ExpressionTemplates>::canonical_value(b)); } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value && (number_category<Backend>::value != number_kind_complex), bool>::type operator>(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { using default_ops::eval_lt; if (detail::is_unordered_comparison(a, b)) return false; return eval_lt(b.backend(), number<Backend, ExpressionTemplates>::canonical_value(a)); } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator>(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_lt; result_type t(b); if (detail::is_unordered_comparison(a, t)) return false; return a > t; } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator>(const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_gt; result_type t(a); if (detail::is_unordered_comparison(t, b)) return false; return t > b; } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator>(const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b) { using default_ops::eval_gt; typename detail::expression<Tag, A1, A2, A3, A4>::result_type t(a); typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type t2(b); if (detail::is_unordered_comparison(t, t2)) return false; return t > t2; } template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR typename boost::enable_if_c<(number_category<Backend>::value != number_kind_complex) && (number_category<Backend2>::value != number_kind_complex), bool>::type operator<=(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { using default_ops::eval_gt; if (detail::is_unordered_comparison(a, b)) return false; return !eval_gt(a.backend(), b.backend()); } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value && (number_category<Backend>::value != number_kind_complex), bool>::type operator<=(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { using default_ops::eval_gt; if (detail::is_unordered_comparison(a, b)) return false; return !eval_gt(a.backend(), number<Backend, ExpressionTemplates>::canonical_value(b)); } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value && (number_category<Backend>::value != number_kind_complex), bool>::type operator<=(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { using default_ops::eval_lt; if (detail::is_unordered_comparison(a, b)) return false; return !eval_lt(b.backend(), number<Backend, ExpressionTemplates>::canonical_value(a)); } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator<=(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_lt; if (detail::is_unordered_value(a) || detail::is_unordered_value(b)) return false; result_type t(b); if (detail::is_unordered_comparison(a, t)) return false; return !eval_lt(t.backend(), result_type::canonical_value(a)); } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator<=(const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_gt; result_type t(a); if (detail::is_unordered_comparison(t, b)) return false; return !eval_gt(t.backend(), result_type::canonical_value(b)); } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator<=(const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b) { using default_ops::eval_gt; typename detail::expression<Tag, A1, A2, A3, A4>::result_type t(a); typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type t2(b); if (detail::is_unordered_comparison(t, t2)) return false; return !eval_gt(t.backend(), t2.backend()); } template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR typename boost::enable_if_c<(number_category<Backend>::value != number_kind_complex) && (number_category<Backend2>::value != number_kind_complex), bool>::type operator>=(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { using default_ops::eval_lt; if (detail::is_unordered_comparison(a, b)) return false; return !eval_lt(a.backend(), b.backend()); } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value && (number_category<Backend>::value != number_kind_complex), bool>::type operator>=(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { using default_ops::eval_lt; if (detail::is_unordered_comparison(a, b)) return false; return !eval_lt(a.backend(), number<Backend, ExpressionTemplates>::canonical_value(b)); } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value && (number_category<Backend>::value != number_kind_complex), bool>::type operator>=(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { using default_ops::eval_gt; if (detail::is_unordered_comparison(a, b)) return false; return !eval_gt(b.backend(), number<Backend, ExpressionTemplates>::canonical_value(a)); } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator>=(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_gt; result_type t(b); if (detail::is_unordered_comparison(a, t)) return false; return !eval_gt(t.backend(), result_type::canonical_value(a)); } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator>=(const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b) { typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type; using default_ops::eval_lt; result_type t(a); if (detail::is_unordered_comparison(t, b)) return false; return !eval_lt(t.backend(), result_type::canonical_value(b)); } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>::value && (number_category<typename detail::expression<Tag, A1, A2, A3, A4>::result_type>::value != number_kind_complex), bool>::type operator>=(const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b) { using default_ops::eval_lt; typename detail::expression<Tag, A1, A2, A3, A4>::result_type t(a); typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type t2(b); if (detail::is_unordered_comparison(t, t2)) return false; return !eval_lt(t.backend(), t2.backend()); } // // C99 comparison macros as functions: // template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR bool isgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { return a > b; } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type isgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { return a > b; } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type isgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { return a > b; } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type isgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { return a > b; } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type isgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b) { return a > b; } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>, bool>::type isgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b) { return a > b; } template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR bool isgreaterequal BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { return a >= b; } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type isgreaterequal BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { return a >= b; } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type isgreaterequal BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { return a >= b; } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type isgreaterequal BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { return a >= b; } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type isgreaterequal BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b) { return a >= b; } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>, bool>::type isgreaterequal BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b) { return a >= b; } template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR bool islessequal BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { return a <= b; } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type islessequal BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { return a <= b; } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type islessequal BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { return a <= b; } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type islessequal BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { return a <= b; } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type islessequal BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b) { return a <= b; } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>, bool>::type islessequal BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b) { return a <= b; } template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR bool isless BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { return a < b; } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type isless BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { return a < b; } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type isless BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { return a < b; } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type isless BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { return a < b; } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type isless BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b) { return a < b; } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>, bool>::type isless BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b) { return a < b; } template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR bool islessgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { if (detail::is_unordered_comparison(a, b)) return false; return a != b; } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type islessgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { if (detail::is_unordered_comparison(a, b)) return false; return a != b; } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type islessgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { if (detail::is_unordered_comparison(a, b)) return false; return a != b; } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type islessgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& bb) { typename detail::expression<Tag, A1, A2, A3, A4>::result_type b(bb); return islessgreater BOOST_PREVENT_MACRO_SUBSTITUTION(a, b); } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type islessgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& aa, const Arithmetic& b) { typename detail::expression<Tag, A1, A2, A3, A4>::result_type a(aa); return islessgreater BOOST_PREVENT_MACRO_SUBSTITUTION(a, b); } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>, bool>::type islessgreater BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& aa, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& bb) { typename detail::expression<Tag, A1, A2, A3, A4>::result_type a(aa); typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type b(bb); return islessgreater BOOST_PREVENT_MACRO_SUBSTITUTION(a, b); } template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2> inline BOOST_MP_CXX14_CONSTEXPR bool isunordered BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { return detail::is_unordered_comparison(a, b); } template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type isunordered BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { return detail::is_unordered_comparison(a, b); } template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type isunordered BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { return detail::is_unordered_comparison(a, b); } template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type isunordered BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& bb) { typename detail::expression<Tag, A1, A2, A3, A4>::result_type b(bb); return detail::is_unordered_comparison(a, b); } template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type isunordered BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& aa, const Arithmetic& b) { typename detail::expression<Tag, A1, A2, A3, A4>::result_type a(aa); return detail::is_unordered_comparison(a, b); } template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b> inline BOOST_MP_CXX14_CONSTEXPR typename enable_if<is_same<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type>, bool>::type isunordered BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& aa, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& bb) { typename detail::expression<Tag, A1, A2, A3, A4>::result_type a(aa); typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type b(bb); return detail::is_unordered_comparison(a, b); } }} // namespace boost::multiprecision #endif // BOOST_MP_COMPARE_HPP