123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178 |
- // 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 <climits>
- #include <limits>
- #include <type_traits>
- #include <stdexcept>
- #include <string>
- #include <boost/multiprecision/detail/standalone_config.hpp>
- #include <boost/multiprecision/detail/no_exceptions_support.hpp>
- 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 <typename T>
- inline constexpr T type_max() noexcept
- {
- return
- #ifdef BOOST_HAS_INT128
- std::is_same<T, boost::multiprecision::int128_type>::value ? INT128_MAX :
- std::is_same<T, boost::multiprecision::uint128_type>::value ? UINT128_MAX :
- #endif
- (std::numeric_limits<T>::max)();
- }
- template <typename T>
- inline constexpr T type_min() noexcept
- {
- return
- #ifdef BOOST_HAS_INT128
- std::is_same<T, boost::multiprecision::int128_type>::value ? INT128_MIN :
- std::is_same<T, boost::multiprecision::uint128_type>::value ? T(0) :
- #endif
- (std::numeric_limits<T>::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 <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_add_imp(A a, A b, const std::integral_constant<bool, true>&)
- {
- if (a > 0)
- {
- if ((b > 0) && ((type_max<A>() - b) < a))
- raise_add_overflow();
- }
- else
- {
- if ((b < 0) && ((type_min<A>() - b) > a))
- raise_add_overflow();
- }
- return a + b;
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_add_imp(A a, A b, const std::integral_constant<bool, false>&)
- {
- if ((type_max<A>() - b) < a)
- raise_add_overflow();
- return a + b;
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_add(A a, A b, const std::integral_constant<int, checked>&)
- {
- return checked_add_imp(a, b, std::integral_constant<bool, boost::multiprecision::detail::is_signed<A>::value && boost::multiprecision::detail::is_integral<A>::value > ());
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_add(A a, A b, const std::integral_constant<int, unchecked>&)
- {
- return a + b;
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract_imp(A a, A b, const std::integral_constant<bool, true>&)
- {
- if (a > 0)
- {
- if ((b < 0) && ((type_max<A>() + b) < a))
- raise_subtract_overflow();
- }
- else
- {
- if ((b > 0) && ((type_min<A>() + b) > a))
- raise_subtract_overflow();
- }
- return a - b;
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract_imp(A a, A b, const std::integral_constant<bool, false>&)
- {
- if (a < b)
- raise_subtract_overflow();
- return a - b;
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract(A a, A b, const std::integral_constant<int, checked>&)
- {
- return checked_subtract_imp(a, b, std::integral_constant<bool, boost::multiprecision::detail::is_signed<A>::value && boost::multiprecision::detail::is_integral<A>::value>());
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_subtract(A a, A b, const std::integral_constant<int, unchecked>&)
- {
- return a - b;
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_multiply(A a, A b, const std::integral_constant<int, checked>&)
- {
- BOOST_MP_USING_ABS
- if (a && (type_max<A>() / abs(a) < abs(b)))
- raise_mul_overflow();
- return a * b;
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_multiply(A a, A b, const std::integral_constant<int, unchecked>&)
- {
- return a * b;
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_divide(A a, A b, const std::integral_constant<int, checked>&)
- {
- if (b == 0)
- raise_div_overflow();
- return a / b;
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_divide(A a, A b, const std::integral_constant<int, unchecked>&)
- {
- return a / b;
- }
- template <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_left_shift(A a, unsigned long long shift, const std::integral_constant<int, checked>&)
- {
- 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 <class A>
- inline BOOST_MP_CXX14_CONSTEXPR A checked_left_shift(A a, unsigned long long shift, const std::integral_constant<int, unchecked>&)
- {
- return (shift >= sizeof(A) * CHAR_BIT) ? 0 : a << shift;
- }
- }}}} // namespace boost::multiprecision::backends::detail
- #endif
|