400 lines
18 KiB
Plaintext
400 lines
18 KiB
Plaintext
///////////////////////////////////////////////////////////////
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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_
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//
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// Comparison operators for cpp_int_backend:
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//
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#ifndef BOOST_MP_CPP_INT_COMPARISON_HPP
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#define BOOST_MP_CPP_INT_COMPARISON_HPP
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#include <boost/type_traits/make_unsigned.hpp>
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namespace boost{ namespace multiprecision{ namespace backends{
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#ifdef BOOST_MSVC
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#pragma warning(push)
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#pragma warning(disable:4018 4389 4996)
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#endif
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//
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// Start with non-trivial cpp_int's:
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//
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template <unsigned MinBits, unsigned MaxBits, cpp_integer_type SignType, cpp_int_check_type Checked, class Allocator>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator> >::value,
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bool
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>::type
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eval_eq(const cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>& a, const cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>& b) BOOST_NOEXCEPT
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{
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#if BOOST_WORKAROUND(BOOST_MSVC, >= 1600)
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return (a.sign() == b.sign())
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&& (a.size() == b.size())
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&& std::equal(a.limbs(), a.limbs() + a.size(),
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stdext::checked_array_iterator<cpp_int_backend<MinBits, MaxBits, SignType, Checked, Allocator>::const_limb_pointer>(b.limbs(), b.size()));
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#else
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return (a.sign() == b.sign())
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&& (a.size() == b.size())
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&& std::equal(a.limbs(), a.limbs() + a.size(), b.limbs());
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#endif
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}
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template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value
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&& !is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value,
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bool
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>::type
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eval_eq(const cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& a, const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& b) BOOST_NOEXCEPT
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{
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#if BOOST_WORKAROUND(BOOST_MSVC, >= 1600)
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return (a.sign() == b.sign())
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&& (a.size() == b.size())
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&& std::equal(a.limbs(), a.limbs() + a.size(), stdext::checked_array_iterator<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>::const_limb_pointer>(b.limbs(), b.size()));
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#else
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return (a.sign() == b.sign())
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&& (a.size() == b.size())
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&& std::equal(a.limbs(), a.limbs() + a.size(), b.limbs());
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#endif
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_eq(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, Allocator>& a, limb_type b) BOOST_NOEXCEPT
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{
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return (a.sign() == false)
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&& (a.size() == 1)
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&& (*a.limbs() == b);
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_eq(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, Allocator>& a, signed_limb_type b) BOOST_NOEXCEPT
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{
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return (a.sign() == (b < 0))
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&& (a.size() == 1)
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&& (*a.limbs() == boost::multiprecision::detail::unsigned_abs(b));
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_eq(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator>& a, limb_type b) BOOST_NOEXCEPT
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{
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return (a.size() == 1)
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&& (*a.limbs() == b);
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_eq(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator>& a, signed_limb_type b) BOOST_NOEXCEPT
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{
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return (b < 0) ? eval_eq(a, cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator>(b)) : eval_eq(a, static_cast<limb_type>(b)); // Use bit pattern of b for comparison
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_lt(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, Allocator>& a, limb_type b) BOOST_NOEXCEPT
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{
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if(a.sign())
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return true;
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if(a.size() > 1)
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return false;
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return *a.limbs() < b;
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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inline typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_lt(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, Allocator>& a, signed_limb_type b) BOOST_NOEXCEPT
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{
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if((b == 0) || (a.sign() != (b < 0)))
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return a.sign();
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if(a.sign())
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{
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if(a.size() > 1)
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return true;
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return *a.limbs() > boost::multiprecision::detail::unsigned_abs(b);
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}
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else
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{
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if(a.size() > 1)
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return false;
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return *a.limbs() < boost::multiprecision::detail::unsigned_abs(b);
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}
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_lt(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator>& a, limb_type b) BOOST_NOEXCEPT
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{
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if(a.size() > 1)
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return false;
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return *a.limbs() < b;
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_lt(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator>& a, signed_limb_type b) BOOST_NOEXCEPT
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{
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return (b < 0) ? a.compare(b) < 0 : eval_lt(a, static_cast<limb_type>(b)); // Use bit pattern of b for comparison
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_gt(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, Allocator>& a, limb_type b) BOOST_NOEXCEPT
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{
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if(a.sign())
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return false;
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if(a.size() > 1)
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return true;
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return *a.limbs() > b;
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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inline typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_gt(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, Allocator>& a, signed_limb_type b) BOOST_NOEXCEPT
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{
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if(b == 0)
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return !a.sign() && ((a.size() > 1) || *a.limbs());
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if(a.sign() != (b < 0))
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return !a.sign();
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if(a.sign())
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{
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if(a.size() > 1)
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return false;
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return *a.limbs() < boost::multiprecision::detail::unsigned_abs(b);
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}
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else
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{
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if(a.size() > 1)
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return true;
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return *a.limbs() > boost::multiprecision::detail::unsigned_abs(b);
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}
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_gt(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator>& a, limb_type b) BOOST_NOEXCEPT
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{
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if(a.size() > 1)
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return true;
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return *a.limbs() > b;
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class Allocator>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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!is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator> >::value,
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bool
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>::type eval_gt(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, Allocator>& a, signed_limb_type b) BOOST_NOEXCEPT
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{
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return (b < 0) ? a.compare(b) > 0 : eval_gt(a, static_cast<limb_type>(b)); // Use bit pattern of b for comparison.
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}
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//
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// And again for trivial cpp_ints:
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//
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void> >::value,
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bool
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>::value eval_eq(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void>& a, const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void>& b) BOOST_NOEXCEPT
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{
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return (a.sign() == b.sign()) && (*a.limbs() == *b.limbs());
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> >::value,
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bool
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>::value eval_eq(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& a, const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& b) BOOST_NOEXCEPT
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{
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return *a.limbs() == *b.limbs();
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class U>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_unsigned<U>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void> >::value,
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bool
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>::type eval_eq(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void>& a, U b) BOOST_NOEXCEPT
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{
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return !a.sign() && (*a.limbs() == b);
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class S>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_signed<S>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void> >::value,
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bool
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>::type eval_eq(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void>& a, S b) BOOST_NOEXCEPT
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{
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return (a.sign() == (b < 0)) && (*a.limbs() == boost::multiprecision::detail::unsigned_abs(b));
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class U>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_unsigned<U>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> >::value,
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bool
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>::type eval_eq(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& a, U b) BOOST_NOEXCEPT
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{
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return *a.limbs() == b;
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class S>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_signed<S>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> >::value,
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bool
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>::type eval_eq(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& a, S b) BOOST_NOEXCEPT
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{
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typedef typename make_unsigned<S>::type ui_type;
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if(b < 0)
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{
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cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> t(b);
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return *a.limbs() == *t.limbs();
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}
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else
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{
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return *a.limbs() == static_cast<ui_type>(b);
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}
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void> >::value,
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bool
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>::type eval_lt(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void>& a, const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& b) BOOST_NOEXCEPT
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{
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if(a.sign() != b.sign())
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return a.sign();
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return a.sign() ? *a.limbs() > *b.limbs() : *a.limbs() < *b.limbs();
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> >::value,
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bool
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>::type eval_lt(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& a, const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& b) BOOST_NOEXCEPT
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{
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return *a.limbs() < *b.limbs();
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class U>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_unsigned<U>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void> >::value,
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bool
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>::type eval_lt(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void>& a, U b) BOOST_NOEXCEPT
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{
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if(a.sign())
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return true;
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return *a.limbs() < b;
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class S>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_signed<S>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void> >::value,
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bool
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>::type eval_lt(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void>& a, S b) BOOST_NOEXCEPT
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{
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if(a.sign() != (b < 0))
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return a.sign();
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return a.sign() ? (*a.limbs() > boost::multiprecision::detail::unsigned_abs(b)) : (*a.limbs() < boost::multiprecision::detail::unsigned_abs(b));
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class U>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_unsigned<U>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> >::value,
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bool
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>::type eval_lt(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& a, U b) BOOST_NOEXCEPT
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{
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return *a.limbs() < b;
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class S>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_signed<S>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> >::value,
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bool
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>::type eval_lt(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& a, S b) BOOST_NOEXCEPT
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{
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typedef typename make_unsigned<S>::type ui_type;
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if(b < 0)
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{
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cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> t(b);
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return *a.limbs() < *t.limbs();
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}
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else
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{
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return *a.limbs() < static_cast<ui_type>(b);
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}
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void> >::value,
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bool
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>::type eval_gt(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void>& a, const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void>& b) BOOST_NOEXCEPT
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{
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if(a.sign() != b.sign())
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return !a.sign();
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return a.sign() ? *a.limbs() < *b.limbs() : *a.limbs() > *b.limbs();
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> >::value,
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bool
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>::type eval_gt(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& a, const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& b) BOOST_NOEXCEPT
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{
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return *a.limbs() > *b.limbs();
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class U>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_unsigned<U>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void> >::value,
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bool
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>::type eval_gt(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void>& a, U b) BOOST_NOEXCEPT
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{
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if(a.sign())
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return false;
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return *a.limbs() > b;
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class S>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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is_signed<S>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void> >::value,
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bool
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>::type eval_gt(const cpp_int_backend<MinBits, MaxBits, signed_magnitude, Checked, void>& a, S b) BOOST_NOEXCEPT
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{
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if(a.sign() != (b < 0))
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return !a.sign();
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return a.sign() ? (*a.limbs() < boost::multiprecision::detail::unsigned_abs(b)) : (*a.limbs() > boost::multiprecision::detail::unsigned_abs(b));
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}
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template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class U>
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BOOST_MP_FORCEINLINE typename enable_if_c<
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|
is_unsigned<U>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> >::value,
|
|
bool
|
|
>::type eval_gt(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& a, U b) BOOST_NOEXCEPT
|
|
{
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|
return *a.limbs() > b;
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|
}
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|
template <unsigned MinBits, unsigned MaxBits, cpp_int_check_type Checked, class S>
|
|
BOOST_MP_FORCEINLINE typename enable_if_c<
|
|
is_signed<S>::value && is_trivial_cpp_int<cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> >::value,
|
|
bool
|
|
>::type eval_gt(const cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void>& a, S b) BOOST_NOEXCEPT
|
|
{
|
|
typedef typename make_unsigned<S>::type ui_type;
|
|
if(b < 0)
|
|
{
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|
cpp_int_backend<MinBits, MaxBits, unsigned_magnitude, Checked, void> t(b);
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|
return *a.limbs() > *t.limbs();
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|
}
|
|
else
|
|
{
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|
return *a.limbs() > static_cast<ui_type>(b);
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|
}
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|
}
|
|
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|
#ifdef BOOST_MSVC
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|
#pragma warning(pop)
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|
#endif
|
|
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|
}}} // namespaces
|
|
|
|
#endif
|