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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 https://www.boost.org/LICENSE_1_0.txt // // Comparison operators for cpp_int_backend: // #ifndef BOOST_MP_CPP_INT_COMPARISON_HPP #define BOOST_MP_CPP_INT_COMPARISON_HPP #include namespace boost { namespace multiprecision { namespace backends { #ifdef BOOST_MSVC #pragma warning(push) #pragma warning(disable : 4018 4389 4996) #endif // // Start with non-trivial cpp_int's: // template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_eq(const cpp_int_backend& a, const cpp_int_backend& b) noexcept { return (a.sign() == b.sign()) && (a.size() == b.size()) && std_constexpr::equal(a.limbs(), a.limbs() + a.size(), b.limbs()); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value && !is_trivial_cpp_int >::value, bool>::type eval_eq(const cpp_int_backend& a, const cpp_int_backend& b) noexcept { return (a.sign() == b.sign()) && (a.size() == b.size()) && std_constexpr::equal(a.limbs(), a.limbs() + a.size(), b.limbs()); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_eq(const cpp_int_backend& a, limb_type b) noexcept { return (a.sign() == false) && (a.size() == 1) && (*a.limbs() == b); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_eq(const cpp_int_backend& a, signed_limb_type b) noexcept { return (a.sign() == (b < 0)) && (a.size() == 1) && (*a.limbs() == boost::multiprecision::detail::unsigned_abs(b)); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_eq(const cpp_int_backend& a, limb_type b) noexcept { return (a.size() == 1) && (*a.limbs() == b); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_eq(const cpp_int_backend& a, signed_limb_type b) noexcept { return (b < 0) ? eval_eq(a, cpp_int_backend(b)) : eval_eq(a, static_cast(b)); // Use bit pattern of b for comparison } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_lt(const cpp_int_backend& a, limb_type b) noexcept { if (a.sign()) return true; if (a.size() > 1) return false; return *a.limbs() < b; } template inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_lt(const cpp_int_backend& a, signed_limb_type b) noexcept { if ((b == 0) || (a.sign() != (b < 0))) return a.sign(); if (a.sign()) { if (a.size() > 1) return true; return *a.limbs() > boost::multiprecision::detail::unsigned_abs(b); } else { if (a.size() > 1) return false; return *a.limbs() < boost::multiprecision::detail::unsigned_abs(b); } } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_lt(const cpp_int_backend& a, limb_type b) noexcept { if (a.size() > 1) return false; return *a.limbs() < b; } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_lt(const cpp_int_backend& a, signed_limb_type b) noexcept { return (b < 0) ? a.compare(b) < 0 : eval_lt(a, static_cast(b)); // Use bit pattern of b for comparison } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_gt(const cpp_int_backend& a, limb_type b) noexcept { if (a.sign()) return false; if (a.size() > 1) return true; return *a.limbs() > b; } template inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_gt(const cpp_int_backend& a, signed_limb_type b) noexcept { if (b == 0) return !a.sign() && ((a.size() > 1) || *a.limbs()); if (a.sign() != (b < 0)) return !a.sign(); if (a.sign()) { if (a.size() > 1) return false; return *a.limbs() < boost::multiprecision::detail::unsigned_abs(b); } else { if (a.size() > 1) return true; return *a.limbs() > boost::multiprecision::detail::unsigned_abs(b); } } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_gt(const cpp_int_backend& a, limb_type b) noexcept { if (a.size() > 1) return true; return *a.limbs() > b; } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< !is_trivial_cpp_int >::value, bool>::type eval_gt(const cpp_int_backend& a, signed_limb_type b) noexcept { return (b < 0) ? a.compare(b) > 0 : eval_gt(a, static_cast(b)); // Use bit pattern of b for comparison. } // // And again for trivial cpp_ints: // template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< is_trivial_cpp_int >::value, bool>::value eval_eq(const cpp_int_backend& a, const cpp_int_backend& b) noexcept { return (a.sign() == b.sign()) && (*a.limbs() == *b.limbs()); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< is_trivial_cpp_int >::value, bool>::value eval_eq(const cpp_int_backend& a, const cpp_int_backend& b) noexcept { return *a.limbs() == *b.limbs(); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_unsigned::value && is_trivial_cpp_int >::value, bool>::type eval_eq(const cpp_int_backend& a, U b) noexcept { return !a.sign() && (*a.limbs() == b); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_signed::value && boost::multiprecision::detail::is_integral::value && is_trivial_cpp_int >::value, bool>::type eval_eq(const cpp_int_backend& a, S b) noexcept { return (a.sign() == (b < 0)) && (*a.limbs() == boost::multiprecision::detail::unsigned_abs(b)); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_unsigned::value && is_trivial_cpp_int >::value, bool>::type eval_eq(const cpp_int_backend& a, U b) noexcept { return *a.limbs() == b; } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_signed::value && boost::multiprecision::detail::is_integral::value && is_trivial_cpp_int >::value, bool>::type eval_eq(const cpp_int_backend& a, S b) noexcept { using ui_type = typename boost::multiprecision::detail::make_unsigned::type; if (b < 0) { cpp_int_backend t(b); return *a.limbs() == *t.limbs(); } else { return *a.limbs() == static_cast(b); } } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< is_trivial_cpp_int >::value, bool>::type eval_lt(const cpp_int_backend& a, const cpp_int_backend& b) noexcept { if (a.sign() != b.sign()) return a.sign(); return a.sign() ? *a.limbs() > *b.limbs() : *a.limbs() < *b.limbs(); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< is_trivial_cpp_int >::value, bool>::type eval_lt(const cpp_int_backend& a, const cpp_int_backend& b) noexcept { return *a.limbs() < *b.limbs(); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_unsigned::value && is_trivial_cpp_int >::value, bool>::type eval_lt(const cpp_int_backend& a, U b) noexcept { if (a.sign()) return true; return *a.limbs() < b; } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_signed::value && boost::multiprecision::detail::is_integral::value && is_trivial_cpp_int >::value, bool>::type eval_lt(const cpp_int_backend& a, S b) noexcept { if (a.sign() != (b < 0)) return a.sign(); return a.sign() ? (*a.limbs() > boost::multiprecision::detail::unsigned_abs(b)) : (*a.limbs() < boost::multiprecision::detail::unsigned_abs(b)); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_unsigned::value && is_trivial_cpp_int >::value, bool>::type eval_lt(const cpp_int_backend& a, U b) noexcept { return *a.limbs() < b; } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_signed::value && boost::multiprecision::detail::is_integral::value && is_trivial_cpp_int >::value, bool>::type eval_lt(const cpp_int_backend& a, S b) noexcept { using ui_type = typename boost::multiprecision::detail::make_unsigned::type; if (b < 0) { cpp_int_backend t(b); return *a.limbs() < *t.limbs(); } else { return *a.limbs() < static_cast(b); } } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< is_trivial_cpp_int >::value, bool>::type eval_gt(const cpp_int_backend& a, const cpp_int_backend& b) noexcept { if (a.sign() != b.sign()) return !a.sign(); return a.sign() ? *a.limbs() < *b.limbs() : *a.limbs() > *b.limbs(); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< is_trivial_cpp_int >::value, bool>::type eval_gt(const cpp_int_backend& a, const cpp_int_backend& b) noexcept { return *a.limbs() > *b.limbs(); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_unsigned::value && is_trivial_cpp_int >::value, bool>::type eval_gt(const cpp_int_backend& a, U b) noexcept { if (a.sign()) return false; return *a.limbs() > b; } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_signed::value && boost::multiprecision::detail::is_integral::value && is_trivial_cpp_int >::value, bool>::type eval_gt(const cpp_int_backend& a, S b) noexcept { if (a.sign() != (b < 0)) return !a.sign(); return a.sign() ? (*a.limbs() < boost::multiprecision::detail::unsigned_abs(b)) : (*a.limbs() > boost::multiprecision::detail::unsigned_abs(b)); } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_unsigned::value && is_trivial_cpp_int >::value, bool>::type eval_gt(const cpp_int_backend& a, U b) noexcept { return *a.limbs() > b; } template BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if< boost::multiprecision::detail::is_signed::value && boost::multiprecision::detail::is_integral::value && is_trivial_cpp_int >::value, bool>::type eval_gt(const cpp_int_backend& a, S b) noexcept { using ui_type = typename boost::multiprecision::detail::make_unsigned::type; if (b < 0) { cpp_int_backend t(b); return *a.limbs() > *t.limbs(); } else { return *a.limbs() > static_cast(b); } } #ifdef BOOST_MSVC #pragma warning(pop) #endif }}} // namespace boost::multiprecision::backends #endif