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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 #ifndef BOOST_MP_CPP_INT_CHECKED_HPP #define BOOST_MP_CPP_INT_CHECKED_HPP #include #include #include #include #include #include #include namespace boost { namespace multiprecision { namespace backends { namespace detail { // // Simple routines for performing checked arithmetic with a builtin arithmetic type. // Note that this is not a complete header, it must be included as part of boost/multiprecision/cpp_int.hpp. // template inline constexpr T type_max() noexcept { return #ifdef BOOST_HAS_INT128 std::is_same::value ? INT128_MAX : std::is_same::value ? UINT128_MAX : #endif (std::numeric_limits::max)(); } template inline constexpr T type_min() noexcept { return #ifdef BOOST_HAS_INT128 std::is_same::value ? INT128_MIN : std::is_same::value ? T(0) : #endif (std::numeric_limits::min)(); } inline void raise_overflow(std::string op) { BOOST_MP_THROW_EXCEPTION(std::overflow_error("overflow in " + op)); } inline void raise_add_overflow() { raise_overflow("addition"); } inline void raise_subtract_overflow() { BOOST_MP_THROW_EXCEPTION(std::range_error("Subtraction resulted in a negative value, but the type is unsigned")); } inline void raise_mul_overflow() { raise_overflow("multiplication"); } inline void raise_div_overflow() { raise_overflow("division"); } template inline BOOST_MP_CXX14_CONSTEXPR A checked_add_imp(A a, A b, const std::integral_constant&) { if (a > 0) { if ((b > 0) && ((type_max() - b) < a)) raise_add_overflow(); } else { if ((b < 0) && ((type_min() - b) > a)) raise_add_overflow(); } return a + b; } template inline BOOST_MP_CXX14_CONSTEXPR A checked_add_imp(A a, A b, const std::integral_constant&) { if ((type_max() - b) < a) raise_add_overflow(); return a + b; } template inline BOOST_MP_CXX14_CONSTEXPR A checked_add(A a, A b, const std::integral_constant&) { return checked_add_imp(a, b, std::integral_constant::value && boost::multiprecision::detail::is_integral::value > ()); } template inline BOOST_MP_CXX14_CONSTEXPR A checked_add(A a, A b, const std::integral_constant&) { return a + b; } template inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract_imp(A a, A b, const std::integral_constant&) { if (a > 0) { if ((b < 0) && ((type_max() + b) < a)) raise_subtract_overflow(); } else { if ((b > 0) && ((type_min() + b) > a)) raise_subtract_overflow(); } return a - b; } template inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract_imp(A a, A b, const std::integral_constant&) { if (a < b) raise_subtract_overflow(); return a - b; } template inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract(A a, A b, const std::integral_constant&) { return checked_subtract_imp(a, b, std::integral_constant::value && boost::multiprecision::detail::is_integral::value>()); } template inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract(A a, A b, const std::integral_constant&) { return a - b; } template inline BOOST_MP_CXX14_CONSTEXPR A checked_multiply(A a, A b, const std::integral_constant&) { BOOST_MP_USING_ABS if (a && (type_max() / abs(a) < abs(b))) raise_mul_overflow(); return a * b; } template inline BOOST_MP_CXX14_CONSTEXPR A checked_multiply(A a, A b, const std::integral_constant&) { return a * b; } template inline BOOST_MP_CXX14_CONSTEXPR A checked_divide(A a, A b, const std::integral_constant&) { if (b == 0) raise_div_overflow(); return a / b; } template inline BOOST_MP_CXX14_CONSTEXPR A checked_divide(A a, A b, const std::integral_constant&) { return a / b; } template inline BOOST_MP_CXX14_CONSTEXPR A checked_left_shift(A a, unsigned long long shift, const std::integral_constant&) { if (a && shift) { if ((shift > sizeof(A) * CHAR_BIT) || (a >> (sizeof(A) * CHAR_BIT - shift))) BOOST_MP_THROW_EXCEPTION(std::overflow_error("Shift out of range")); } return a << shift; } template inline BOOST_MP_CXX14_CONSTEXPR A checked_left_shift(A a, unsigned long long shift, const std::integral_constant&) { return (shift >= sizeof(A) * CHAR_BIT) ? 0 : a << shift; } }}}} // namespace boost::multiprecision::backends::detail #endif