661 lines
39 KiB
Plaintext
661 lines
39 KiB
Plaintext
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///////////////////////////////////////////////////////////////////////////////
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// Copyright 2012 John Maddock. Distributed under the Boost
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// Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#ifndef BOOST_MP_COMPARE_HPP
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#define BOOST_MP_COMPARE_HPP
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#include <boost/multiprecision/traits/is_backend.hpp>
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//
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// Comparison operators for number.
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//
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namespace boost{ namespace multiprecision{
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namespace default_ops{
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//
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// The dispatching mechanism used here to deal with differently typed arguments
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// could be better replaced with enable_if overloads, but that breaks MSVC-12
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// under strange and hard to reproduce circumstances.
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//
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template <class B>
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inline bool eval_eq(const B& a, const B& b)
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{
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return a.compare(b) == 0;
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}
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template <class T, class U>
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inline bool eval_eq_imp(const T& a, const U& b, const mpl::true_&)
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{
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typename boost::multiprecision::detail::number_from_backend<T, U>::type t(b);
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return eval_eq(a, t.backend());
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}
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template <class T, class U>
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inline bool eval_eq_imp(const T& a, const U& b, const mpl::false_&)
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{
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typename boost::multiprecision::detail::number_from_backend<U, T>::type t(a);
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return eval_eq(t.backend(), b);
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}
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template <class T, class U>
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inline bool eval_eq(const T& a, const U& b)
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{
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typedef mpl::bool_<boost::multiprecision::detail::is_first_backend<T, U>::value> tag_type;
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return eval_eq_imp(a, b, tag_type());
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}
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template <class B>
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inline bool eval_lt(const B& a, const B& b)
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{
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return a.compare(b) < 0;
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}
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template <class T, class U>
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inline bool eval_lt_imp(const T& a, const U& b, const mpl::true_&)
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{
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typename boost::multiprecision::detail::number_from_backend<T, U>::type t(b);
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return eval_lt(a, t.backend());
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}
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template <class T, class U>
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inline bool eval_lt_imp(const T& a, const U& b, const mpl::false_&)
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{
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typename boost::multiprecision::detail::number_from_backend<U, T>::type t(a);
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return eval_lt(t.backend(), b);
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}
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template <class T, class U>
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inline bool eval_lt(const T& a, const U& b)
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{
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typedef mpl::bool_<boost::multiprecision::detail::is_first_backend<T, U>::value> tag_type;
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return eval_lt_imp(a, b, tag_type());
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}
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template <class B>
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inline bool eval_gt(const B& a, const B& b)
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{
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return a.compare(b) > 0;
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}
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template <class T, class U>
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inline bool eval_gt_imp(const T& a, const U& b, const mpl::true_&)
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{
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typename boost::multiprecision::detail::number_from_backend<T, U>::type t(b);
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return eval_gt(a, t.backend());
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}
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template <class T, class U>
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inline bool eval_gt_imp(const T& a, const U& b, const mpl::false_&)
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{
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typename boost::multiprecision::detail::number_from_backend<U, T>::type t(a);
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return eval_gt(t.backend(), b);
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}
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template <class T, class U>
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inline bool eval_gt(const T& a, const U& b)
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{
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typedef mpl::bool_<boost::multiprecision::detail::is_first_backend<T, U>::value> tag_type;
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return eval_gt_imp(a, b, tag_type());
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}
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} // namespace default_ops
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namespace detail{
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template <class Num, class Val>
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struct is_valid_mixed_compare : public mpl::false_ {};
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template <class B, expression_template_option ET, class Val>
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struct is_valid_mixed_compare<number<B, ET>, Val> : public is_convertible<Val, number<B, ET> > {};
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template <class B, expression_template_option ET>
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struct is_valid_mixed_compare<number<B, ET>, number<B, ET> > : public mpl::false_ {};
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template <class B, expression_template_option ET, class tag, class Arg1, class Arg2, class Arg3, class Arg4>
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struct is_valid_mixed_compare<number<B, ET>, expression<tag, Arg1, Arg2, Arg3, Arg4> >
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: public mpl::bool_<is_convertible<expression<tag, Arg1, Arg2, Arg3, Arg4>, number<B, ET> >::value> {};
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template <class tag, class Arg1, class Arg2, class Arg3, class Arg4, class B, expression_template_option ET>
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struct is_valid_mixed_compare<expression<tag, Arg1, Arg2, Arg3, Arg4>, number<B, ET> >
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: public mpl::bool_<is_convertible<expression<tag, Arg1, Arg2, Arg3, Arg4>, number<B, ET> >::value> {};
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template <class Backend, expression_template_option ExpressionTemplates>
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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>&)
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{
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return false;
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}
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template <class Backend, expression_template_option ExpressionTemplates>
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inline
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#if !BOOST_WORKAROUND(BOOST_GCC_VERSION, < 40700)
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BOOST_CONSTEXPR
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#endif
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typename boost::enable_if_c<number_category<Backend>::value == number_kind_floating_point, bool>::type is_unordered_value(const number<Backend, ExpressionTemplates>& a)
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{
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using default_ops::eval_fpclassify;
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return eval_fpclassify(a.backend()) == FP_NAN;
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}
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template <class Arithmetic>
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inline BOOST_CONSTEXPR typename boost::enable_if_c<number_category<Arithmetic>::value != number_kind_floating_point, bool>::type is_unordered_value(const Arithmetic&)
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{
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return false;
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}
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template <class Arithmetic>
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inline BOOST_CONSTEXPR typename boost::enable_if_c<number_category<Arithmetic>::value == number_kind_floating_point, bool>::type is_unordered_value(const Arithmetic& a)
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{
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return (boost::math::isnan)(a);
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}
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template <class T, class U>
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inline BOOST_CONSTEXPR bool is_unordered_comparison(const T& a, const U& b)
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{
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return is_unordered_value(a) || is_unordered_value(b);
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}
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}
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template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2>
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inline bool operator == (const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b)
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{
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using default_ops::eval_eq;
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if(detail::is_unordered_comparison(a, b)) return false;
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return eval_eq(a.backend(), b.backend());
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}
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template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic>
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inline typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type
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operator == (const number<Backend, ExpressionTemplates>& a, const Arithmetic& b)
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{
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using default_ops::eval_eq;
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if(detail::is_unordered_comparison(a, b)) return false;
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return eval_eq(a.backend(), number<Backend, ExpressionTemplates>::canonical_value(b));
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}
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template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates>
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inline typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type
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operator == (const Arithmetic& a, const number<Backend, ExpressionTemplates>& b)
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{
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using default_ops::eval_eq;
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if(detail::is_unordered_comparison(a, b)) return false;
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return eval_eq(b.backend(), number<Backend, ExpressionTemplates>::canonical_value(a));
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}
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template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4>
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inline typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type
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operator == (const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b)
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{
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typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type;
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using default_ops::eval_eq;
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result_type t(b);
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if(detail::is_unordered_comparison(a, t)) return false;
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return eval_eq(t.backend(), result_type::canonical_value(a));
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}
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template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic>
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inline typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type
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operator == (const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b)
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{
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typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type;
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using default_ops::eval_eq;
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result_type t(a);
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if(detail::is_unordered_comparison(t, b)) return false;
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return eval_eq(t.backend(), result_type::canonical_value(b));
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}
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template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b>
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inline 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
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operator == (const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b)
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{
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using default_ops::eval_eq;
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typename detail::expression<Tag, A1, A2, A3, A4>::result_type t(a);
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typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type t2(b);
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if(detail::is_unordered_comparison(t, t2)) return false;
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return eval_eq(t.backend(), t2.backend());
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}
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template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2>
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inline bool operator != (const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b)
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{
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using default_ops::eval_eq;
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if(detail::is_unordered_comparison(a, b)) return true;
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return !eval_eq(a.backend(), b.backend());
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}
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template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic>
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inline typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type
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operator != (const number<Backend, ExpressionTemplates>& a, const Arithmetic& b)
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{
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using default_ops::eval_eq;
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if(detail::is_unordered_comparison(a, b)) return true;
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return !eval_eq(a.backend(), number<Backend, et_on>::canonical_value(b));
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}
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template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates>
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inline typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type
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operator != (const Arithmetic& a, const number<Backend, ExpressionTemplates>& b)
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{
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using default_ops::eval_eq;
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if(detail::is_unordered_comparison(a, b)) return true;
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return !eval_eq(b.backend(), number<Backend, et_on>::canonical_value(a));
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}
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template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4>
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inline typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type
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operator != (const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b)
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{
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typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type;
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using default_ops::eval_eq;
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result_type t(b);
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if(detail::is_unordered_comparison(a, t)) return true;
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return !eval_eq(t.backend(), result_type::canonical_value(a));
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}
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template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic>
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inline typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type
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operator != (const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b)
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{
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typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type;
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using default_ops::eval_eq;
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result_type t(a);
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if(detail::is_unordered_comparison(t, b)) return true;
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return !eval_eq(t.backend(), result_type::canonical_value(b));
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}
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template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b>
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inline 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
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operator != (const detail::expression<Tag, A1, A2, A3, A4>& a, const detail::expression<Tagb, A1b, A2b, A3b, A4b>& b)
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{
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using default_ops::eval_eq;
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typename detail::expression<Tag, A1, A2, A3, A4>::result_type t(a);
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typename detail::expression<Tagb, A1b, A2b, A3b, A4b>::result_type t2(b);
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if(detail::is_unordered_comparison(t, t2)) return true;
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return !eval_eq(t.backend(), t2.backend());
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}
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template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2>
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inline bool operator < (const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b)
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{
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using default_ops::eval_lt;
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if(detail::is_unordered_comparison(a, b)) return false;
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return eval_lt(a.backend(), b.backend());
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}
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template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic>
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inline typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type
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operator < (const number<Backend, ExpressionTemplates>& a, const Arithmetic& b)
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{
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using default_ops::eval_lt;
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if(detail::is_unordered_comparison(a, b)) return false;
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return eval_lt(a.backend(), number<Backend, ExpressionTemplates>::canonical_value(b));
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}
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template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates>
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inline typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type
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operator < (const Arithmetic& a, const number<Backend, ExpressionTemplates>& b)
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{
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using default_ops::eval_gt;
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if(detail::is_unordered_comparison(a, b)) return false;
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return eval_gt(b.backend(), number<Backend, ExpressionTemplates>::canonical_value(a));
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}
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template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4>
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inline typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type
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operator < (const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b)
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{
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typedef typename detail::expression<Tag, A1, A2, A3, A4>::result_type result_type;
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using default_ops::eval_gt;
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result_type t(b);
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if(detail::is_unordered_comparison(a, t)) return false;
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return eval_gt(t.backend(), result_type::canonical_value(a));
|
||
|
|
}
|
||
|
|
template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic>
|
||
|
|
inline 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_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 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_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 bool 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 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_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 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_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 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_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 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_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 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_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 bool 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 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_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 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_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 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_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 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_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 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_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 bool 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 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_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 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_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 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_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 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_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 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_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 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 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 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 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 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 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 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 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 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 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 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 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 bool islessequal BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { return a <= b; }
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template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic>
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inline typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type
|
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islessequal BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { return a <= b; }
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template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates>
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inline typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type
|
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islessequal BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { return a <= b; }
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template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4>
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inline typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type
|
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islessequal BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { return a <= b; }
|
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template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic>
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inline typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type
|
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islessequal BOOST_PREVENT_MACRO_SUBSTITUTION(const detail::expression<Tag, A1, A2, A3, A4>& a, const Arithmetic& b) { return a <= b; }
|
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template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b>
|
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inline 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
|
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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; }
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template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2>
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inline bool isless BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b) { return a < b; }
|
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template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic>
|
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|
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inline typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type
|
||
|
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isless BOOST_PREVENT_MACRO_SUBSTITUTION(const number<Backend, ExpressionTemplates>& a, const Arithmetic& b) { return a < b; }
|
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|
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template <class Arithmetic, class Backend, expression_template_option ExpressionTemplates>
|
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|
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inline typename enable_if_c<detail::is_valid_mixed_compare<number<Backend, ExpressionTemplates>, Arithmetic>::value, bool>::type
|
||
|
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isless BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const number<Backend, ExpressionTemplates>& b) { return a < b; }
|
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|
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template <class Arithmetic, class Tag, class A1, class A2, class A3, class A4>
|
||
|
|
inline typename enable_if_c<detail::is_valid_mixed_compare<typename detail::expression<Tag, A1, A2, A3, A4>::result_type, Arithmetic>::value, bool>::type
|
||
|
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isless BOOST_PREVENT_MACRO_SUBSTITUTION(const Arithmetic& a, const detail::expression<Tag, A1, A2, A3, A4>& b) { return a < b; }
|
||
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|
||
|
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template <class Tag, class A1, class A2, class A3, class A4, class Arithmetic>
|
||
|
|
inline 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; }
|
||
|
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|
||
|
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template <class Tag, class A1, class A2, class A3, class A4, class Tagb, class A1b, class A2b, class A3b, class A4b>
|
||
|
|
inline 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; }
|
||
|
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|
||
|
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template <class Backend, expression_template_option ExpressionTemplates, class Backend2, expression_template_option ExpressionTemplates2>
|
||
|
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inline 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;
|
||
|
|
}
|
||
|
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|
||
|
|
template <class Backend, expression_template_option ExpressionTemplates, class Arithmetic>
|
||
|
|
inline 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 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 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 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 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 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 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 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 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 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 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);
|
||
|
|
}
|
||
|
|
|
||
|
|
}} // namespaces
|
||
|
|
|
||
|
|
#endif // BOOST_MP_COMPARE_HPP
|
||
|
|
|