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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
//
// Comparison operators for number.
//
namespace boost{ namespace multiprecision{
namespace default_ops{
template <class B>
inline bool eval_eq(const B& a, const B& b)
{
return a.compare(b) == 0;
}
//
// For the default version which compares to some arbitrary type convertible to
// our number type, we don't know what value the ExpressionTemplates parameter to
// class number should be. We generally prefer ExpressionTemplates to be enabled
// in case type A is itself an expression template, but we need to test both options
// with is_convertible in case A has an implicit conversion operator to number<B,something>.
// This is the case with many uBlas types for example.
//
template <class B, class A>
inline bool eval_eq(const B& a, const A& b)
{
typedef typename mpl::if_c<
is_convertible<A, number<B, et_on> >::value,
number<B, et_on>,
number<B, et_off> >::type mp_type;
mp_type t(b);
return eval_eq(a, t.backend());
}
template <class B>
inline bool eval_lt(const B& a, const B& b)
{
return a.compare(b) < 0;
}
template <class B, class A>
inline bool eval_lt(const B& a, const A& b)
{
typedef typename mpl::if_c<
is_convertible<A, number<B, et_on> >::value,
number<B, et_on>,
number<B, et_off> >::type mp_type;
mp_type t(b);
return eval_lt(a, t.backend());
}
template <class B>
inline bool eval_gt(const B& a, const B& b)
{
return a.compare(b) > 0;
}
template <class B, class A>
inline bool eval_gt(const B& a, const A& b)
{
typedef typename mpl::if_c<
is_convertible<A, number<B, et_on> >::value,
number<B, et_on>,
number<B, et_off> >::type mp_type;
mp_type t(b);
return eval_gt(a, t.backend());
}
} // 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, class Backend2, expression_template_option ExpressionTemplates2>
inline bool operator == (const number<Backend, ExpressionTemplates>& a, const number<Backend2, ExpressionTemplates2>& b)
{
using default_ops::eval_eq;
return eval_eq(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_eq;
return eval_eq(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_eq;
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 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);
return eval_eq(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_eq;
result_type t(a);
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 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);
return eval_eq(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_eq;
return !eval_eq(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_eq;
return !eval_eq(a.backend(), number<Backend, et_on>::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_eq;
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 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);
return !eval_eq(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_eq;
result_type t(a);
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 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);
return !eval_eq(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;
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;
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;
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);
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);
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);
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;
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;
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;
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);
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);
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);
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_gt;
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;
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;
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);
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);
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);
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;
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;
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;
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);
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);
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);
return !eval_lt(t.backend(), t2.backend());
}
}} // namespaces
#endif // BOOST_MP_COMPARE_HPP
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