mirror of
https://github.com/boostorg/safe_numerics.git
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d60bdf1de7
This lead to numerous small changes - which of course weren't so small Added static asserts for some range construction / assignments. Passing all tests.
770 lines
19 KiB
C++
770 lines
19 KiB
C++
#ifndef BOOST_NUMERIC_CHECKED_HPP
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#define BOOST_NUMERIC_CHECKED_HPP
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// MS compatible compilers support #pragma once
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#if defined(_MSC_VER) && (_MSC_VER >= 1020)
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# pragma once
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#endif
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// Copyright (c) 2012 Robert Ramey
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//
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// Distributed under the Boost Software License, Version 1.0. (See
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// accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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// contains operations for doing checked aritmetic on NATIVE
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// C++ types.
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#include <limits>
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#include <type_traits> // is_integral
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#include <boost/utility/enable_if.hpp>
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#include "safe_common.hpp"
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#include "checked_result.hpp"
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namespace boost {
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namespace numeric {
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namespace checked {
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////////////////////////////////////////////////////
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// layer 0 - implment safe operations for intrinsic integers
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// Note presumption of twos complement integer arithmetic
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////////////////////////////////////////////////////
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// safe casting on primitive types
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template<class R, class T>
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SAFE_NUMERIC_CONSTEXPR checked_result<R>
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cast(
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const T & t
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) {
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return
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std::numeric_limits<R>::is_signed ?
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// T is signed
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std::numeric_limits<T>::is_signed ?
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t > std::numeric_limits<R>::max() ?
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checked_result<R>(
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exception_type::range_error,
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"converted signed value too large"
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)
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:
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t < std::numeric_limits<R>::min() ?
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checked_result<R>(
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exception_type::range_error,
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"converted signed value too small"
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)
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:
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checked_result<R>(t)
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: // T is unsigned
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t > std::numeric_limits<R>::max() ?
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checked_result<R>(
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exception_type::range_error,
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"converted unsigned value too large"
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)
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:
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checked_result<R>(t)
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: // std::numeric_limits<R>::is_signed
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// T is signed
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! std::numeric_limits<T>::is_signed ?
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t > std::numeric_limits<R>::max() ?
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checked_result<R>(
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exception_type::range_error,
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"converted unsigned value too large"
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)
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:
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checked_result<R>(t)
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: // T is signed
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t < 0 ?
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checked_result<R>(
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exception_type::range_error,
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"converted negative value to unsigned"
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)
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:
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t > std::numeric_limits<R>::max() ?
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checked_result<R>(
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exception_type::range_error,
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"converted signed value too large"
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)
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:
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checked_result<R>(t)
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;
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}
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////////////////////////////////////////////////////
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// safe addition on primitive types
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namespace detail {
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// result unsigned
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template<class R>
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typename boost::enable_if<
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typename std::is_unsigned<R>,
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR add(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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) {
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return
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maxr - u < t ?
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checked_result<R>(
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exception_type::overflow_error,
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"addition overflow"
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)
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:
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checked_result<R>(t + u)
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;
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}
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// result signed
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template<class R>
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typename boost::enable_if<
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typename std::is_signed<R>,
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR add(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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) {
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return
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((u > 0) && (t > (maxr - u)))
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|| ((u < 0) && (t < (minr - u))) ?
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checked_result<R>(
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exception_type::overflow_error,
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"addition overflow"
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)
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:
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checked_result<R>(t + u)
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;
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}
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} // namespace detail
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template<class R, class T, class U>
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SAFE_NUMERIC_CONSTEXPR checked_result<R> add(
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const R & minr,
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const R & maxr,
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const T & t,
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const U & u
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) {
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static_assert(std::is_integral<T>::value, "only intrinsic integers permitted");
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static_assert(std::is_integral<U>::value, "only intrinsic integers permitted");
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const checked_result<R> ru = cast<R>(u);
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const checked_result<R> rt = cast<R>(t);
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return
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rt != exception_type::no_exception ?
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rt
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:
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ru != exception_type::no_exception ?
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ru
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:
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detail::add<R>(minr, maxr, t, u)
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;
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}
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template<class R, class T, class U>
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SAFE_NUMERIC_CONSTEXPR checked_result<R> add(
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const T & t,
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const U & u
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) {
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return
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add<R, T, U>(
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std::numeric_limits<R>::min(),
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std::numeric_limits<R>::max(),
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t,
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u
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)
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;
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}
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////////////////////////////////////////////////////
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// safe subtraction on primitive types
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namespace detail {
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// result unsigned
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template<class R>
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typename boost::enable_if<
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typename std::is_unsigned<R>,
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR subtract(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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) {
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// INT30-C
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return
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t < u ?
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checked_result<R>(
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exception_type::overflow_error,
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"subtraction overflow"
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)
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:
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checked_result<R>(t - u)
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;
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}
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// result signed
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template<class R>
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typename boost::enable_if<
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typename std::is_signed<R>,
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR subtract(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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) { // INT32-C
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return
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((u > 0) && (t < (minr + u)))
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|| ((u < 0) && (t > (maxr + u))) ?
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checked_result<R>(
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exception_type::overflow_error,
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"subtraction overflow"
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)
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:
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checked_result<R>(t - u)
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;
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}
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} // namespace detail
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template<class R, class T, class U>
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SAFE_NUMERIC_CONSTEXPR checked_result<R> subtract(
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const R & minr,
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const R & maxr,
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const T & t,
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const U & u
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) {
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static_assert(std::is_integral<T>::value, "only intrinsic integers permitted");
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static_assert(std::is_integral<U>::value, "only intrinsic integers permitted");
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return
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cast<R>(t) != exception_type::no_exception ?
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cast<R>(t)
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:
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cast<R>(u) != exception_type::no_exception ?
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cast<R>(u)
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:
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detail::subtract<R>(minr, maxr, t, u)
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;
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}
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template<class R, class T, class U>
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SAFE_NUMERIC_CONSTEXPR checked_result<R> subtract(
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const T & t,
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const U & u
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) {
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return
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subtract<R, T, U>(
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std::numeric_limits<R>::min(),
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std::numeric_limits<R>::max(),
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t,
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u
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)
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;
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}
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////////////////////////////////////////////////////
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// safe multiplication on primitive types
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namespace detail {
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// result unsigned
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template<class R>
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typename boost::enable_if_c<
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std::is_unsigned<R>::value && (sizeof(R) <= (sizeof(std::uintmax_t) / 2)),
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR multiply(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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) {
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// INT30-C
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// fast method using intermediate result guaranteed not to overflow
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// todo - replace std::uintmax_t with a size double the size of R
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typedef std::uintmax_t i_type;
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return
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static_cast<i_type>(t) * static_cast<i_type>(u)
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> std::numeric_limits<R>::max() ?
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checked_result<R>(
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exception_type::overflow_error,
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"multiplication overflow"
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)
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:
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checked_result<R>(t * u)
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;
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}
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template<class R>
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typename boost::enable_if_c<
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std::is_unsigned<R>::value && (sizeof(R) > sizeof(std::uintmax_t) / 2),
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR multiply(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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) {
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// INT30-C
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return
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u > 0 && t > std::numeric_limits<R>::max() / u ?
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checked_result<R>(
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exception_type::overflow_error,
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"multiplication overflow"
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)
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:
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checked_result<R>(t * u)
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;
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}
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// result signed
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template<class R>
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typename boost::enable_if_c<
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std::is_signed<R>::value && (sizeof(R) <= (sizeof(std::intmax_t) / 2)),
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR multiply(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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) {
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// INT30-C
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// fast method using intermediate result guaranteed not to overflow
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// todo - replace std::uintmax_t with a size double the size of R
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typedef std::intmax_t i_type;
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return
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(
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static_cast<i_type>(t) * static_cast<i_type>(u)
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> static_cast<i_type>(std::numeric_limits<R>::max())
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) ?
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checked_result<R>(
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exception_type::overflow_error,
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"multiplication overflow"
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)
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:
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(
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static_cast<i_type>(t) * static_cast<i_type>(u)
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< static_cast<i_type>(std::numeric_limits<R>::min())
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) ?
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checked_result<R>(
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exception_type::underflow_error,
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"multiplication underflow"
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)
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:
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checked_result<R>(t * u)
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;
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}
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template<class R>
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typename boost::enable_if_c<
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std::is_signed<R>::value && (sizeof(R) > (sizeof(std::intmax_t) / 2)),
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR multiply(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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) { // INT32-C
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return t > 0 ?
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u > 0 ?
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t > std::numeric_limits<R>::max() / u ?
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checked_result<R>(
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exception_type::overflow_error,
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"multiplication overflow"
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)
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:
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checked_result<R>(t * u)
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: // u <= 0
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u < std::numeric_limits<R>::min() / t ?
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checked_result<R>(
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exception_type::overflow_error,
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"multiplication overflow"
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)
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:
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checked_result<R>(t * u)
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: // t <= 0
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u > 0 ?
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t < std::numeric_limits<R>::min() / u ?
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checked_result<R>(
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exception_type::overflow_error,
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"multiplication overflow"
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)
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:
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checked_result<R>(t * u)
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: // u <= 0
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t != 0 && u < std::numeric_limits<R>::max() / t ?
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checked_result<R>(
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exception_type::overflow_error,
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"multiplication overflow"
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)
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:
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checked_result<R>(t * u)
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;
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}
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} // namespace detail
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template<class R, class T, class U>
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SAFE_NUMERIC_CONSTEXPR checked_result<R> multiply(
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const R & minr,
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const R & maxr,
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const T & t,
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const U & u
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) {
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static_assert(std::is_integral<T>::value, "only intrinsic integers permitted");
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static_assert(std::is_integral<U>::value, "only intrinsic integers permitted");
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return
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cast<R>(t) != exception_type::no_exception ?
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cast<R>(t)
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:
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cast<R>(u) != exception_type::no_exception ?
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cast<R>(u)
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:
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sizeof(R) >= sizeof(T) + sizeof(U) ?
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checked_result<R>(static_cast<R>(t) * static_cast<R>(u))
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:
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detail::multiply<R>(minr, maxr, t, u)
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;
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}
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template<class R, class T, class U>
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SAFE_NUMERIC_CONSTEXPR checked_result<R> multiply(
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const T & t,
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const U & u
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) {
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return
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multiply<R, T, U>(
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std::numeric_limits<R>::min(),
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std::numeric_limits<R>::max(),
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t,
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u
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)
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;
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}
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////////////////////////////////
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// safe division on unsafe types
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namespace detail {
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template<class R>
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typename boost::enable_if_c<
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std::is_unsigned<R>::value,
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR divide(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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) {
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return checked_result<R>(t / u);
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}
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template<class R>
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typename boost::enable_if_c<
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std::is_signed<R>::value,
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR divide(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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){
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return
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// note presumption of two's complement arithmetic
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(u < 0 && t == std::numeric_limits<R>::min()) ?
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checked_result<R>(
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exception_type::domain_error,
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"divide by zero"
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)
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:
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checked_result<R>(t / u)
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;
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}
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} // namespace detail
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template<class R, class T, class U>
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SAFE_NUMERIC_CONSTEXPR checked_result<R> divide(
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const R & minr,
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const R & maxr,
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const T & t,
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const U & u
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) {
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static_assert(std::is_integral<T>::value, "only intrinsic integers permitted");
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static_assert(std::is_integral<U>::value, "only intrinsic integers permitted");
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return
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cast<R>(t) != exception_type::no_exception ?
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cast<R>(t)
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:
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cast<R>(u) != exception_type::no_exception ?
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cast<R>(u)
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:
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u == 0 ?
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checked_result<R>(
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exception_type::domain_error,
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"divide by zero"
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)
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:
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detail::divide<R>(minr, maxr, t, u)
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;
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}
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template<class R, class T, class U>
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SAFE_NUMERIC_CONSTEXPR checked_result<R> divide(
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const T & t,
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const U & u
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) {
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return
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divide<R, T, U>(
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std::numeric_limits<R>::min(),
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std::numeric_limits<R>::max(),
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t,
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u
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)
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;
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}
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|
|
////////////////////////////////
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// safe modulus on unsafe types
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namespace detail {
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template<class R>
|
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typename boost::enable_if_c<
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std::is_unsigned<R>::value,
|
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR modulus(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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) {
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return checked_result<R>(t % u);
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}
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|
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template<class R>
|
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typename boost::enable_if_c<
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std::is_signed<R>::value,
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checked_result<R>
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>::type
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SAFE_NUMERIC_CONSTEXPR modulus(
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const R & minr,
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const R & maxr,
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const R t,
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const R u
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){
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return
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// note presumption of two's complement arithmetic
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(u < 0 && t == std::numeric_limits<R>::min()) ?
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checked_result<R>(
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exception_type::domain_error,
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"divide by zero"
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)
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:
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checked_result<R>(t % u)
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;
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}
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} // namespace detail
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template<class R, class T, class U>
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SAFE_NUMERIC_CONSTEXPR checked_result<R> modulus(
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const R & minr,
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const R & maxr,
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|
const T & t,
|
|
const U & u
|
|
) {
|
|
static_assert(std::is_integral<T>::value, "only intrinsic integers permitted");
|
|
static_assert(std::is_integral<U>::value, "only intrinsic integers permitted");
|
|
return
|
|
cast<R>(t) != exception_type::no_exception ?
|
|
cast<R>(t)
|
|
:
|
|
cast<R>(u) != exception_type::no_exception ?
|
|
cast<R>(u)
|
|
:
|
|
u == 0 ?
|
|
checked_result<R>(
|
|
exception_type::domain_error,
|
|
"divide by zero"
|
|
)
|
|
:
|
|
detail::divide<R>(minr, maxr, t, u)
|
|
;
|
|
}
|
|
template<class R, class T, class U>
|
|
SAFE_NUMERIC_CONSTEXPR checked_result<R> modulus(
|
|
const T & t,
|
|
const U & u
|
|
) {
|
|
return
|
|
divide<R, T, U>(
|
|
std::numeric_limits<R>::min(),
|
|
std::numeric_limits<R>::max(),
|
|
t,
|
|
u
|
|
)
|
|
;
|
|
}
|
|
|
|
///////////////////////////////////
|
|
// shift operations
|
|
|
|
namespace detail {
|
|
|
|
template<class R, class T, class U>
|
|
SAFE_NUMERIC_CONSTEXPR checked_result<R> check_shift(
|
|
const T & t,
|
|
const U & u
|
|
) {
|
|
// INT13-CPP C++ standard paragraph 5.8
|
|
static_assert(
|
|
std::numeric_limits<T>::is_integer,
|
|
"shift operation can only be applied to integers"
|
|
);
|
|
static_assert(
|
|
std::numeric_limits<U>::is_integer,
|
|
"number of bits to shift must be an integer"
|
|
);
|
|
const checked_result<R> ru = cast<R>(u);
|
|
// INT34-C C++ standard paragraph 5.8
|
|
return
|
|
( ! ru.is_valid()) ?
|
|
ru
|
|
:
|
|
( ru < 0) ?
|
|
checked_result<R>(
|
|
exception_type::domain_error,
|
|
"shifting negative amount is undefined behavior"
|
|
)
|
|
:
|
|
( ru > std::numeric_limits<T>::digits) ?
|
|
checked_result<R>(
|
|
exception_type::domain_error,
|
|
"shifting more bits than available is undefined behavior"
|
|
)
|
|
:
|
|
checked_result<R>(0)
|
|
;
|
|
}
|
|
|
|
} // detail
|
|
|
|
// left shift
|
|
template<class R, class T, class U>
|
|
SAFE_NUMERIC_CONSTEXPR checked_result<R> left_shift(
|
|
const T & t,
|
|
const U & u
|
|
) {
|
|
const checked_result<R> r = detail::check_shift<R>(t, u);
|
|
return
|
|
(! r.is_valid()) ?
|
|
r
|
|
:
|
|
checked_result<R>(static_cast<R>(r) << t);
|
|
;
|
|
}
|
|
|
|
// right shift
|
|
template<class R, class T, class U>
|
|
SAFE_NUMERIC_CONSTEXPR checked_result<R> right_shift(
|
|
const T & t,
|
|
const U & u
|
|
) {
|
|
const checked_result<R> r = detail::check_shift<R>(t, u);
|
|
return
|
|
(! r.is_valid()) ?
|
|
r
|
|
:
|
|
checked_result<R>(static_cast<R>(r) >> t);
|
|
;
|
|
}
|
|
|
|
///////////////////////////////////
|
|
// bitwise operations
|
|
|
|
template<class R, class T, class U>
|
|
SAFE_NUMERIC_CONSTEXPR checked_result<R> bitwise_or(
|
|
const T & t,
|
|
const U & u
|
|
) {
|
|
static_assert(
|
|
std::is_integral<T>::value && std::is_signed<T>::value
|
|
&& std::is_integral<U>::value && std::is_signed<T>::value,
|
|
"only intrinsic unsigned integers permitted"
|
|
);
|
|
const checked_result<R> ru = cast<R>(u);
|
|
const checked_result<R> rt = cast<R>(t);
|
|
return
|
|
rt != exception_type::no_exception ?
|
|
rt
|
|
:
|
|
ru != exception_type::no_exception ?
|
|
ru
|
|
:
|
|
static_cast<R>(ru) | static_cast<R>(rt)
|
|
;
|
|
}
|
|
|
|
template<class R, class T, class U>
|
|
SAFE_NUMERIC_CONSTEXPR checked_result<R> bitwise_and(
|
|
const T & t,
|
|
const U & u
|
|
) {
|
|
static_assert(
|
|
std::is_integral<T>::value && std::is_signed<T>::value
|
|
&& std::is_integral<U>::value && std::is_signed<T>::value,
|
|
"only intrinsic unsigned integers permitted"
|
|
);
|
|
const checked_result<R> ru = cast<R>(u);
|
|
const checked_result<R> rt = cast<R>(t);
|
|
return
|
|
rt != exception_type::no_exception ?
|
|
rt
|
|
:
|
|
ru != exception_type::no_exception ?
|
|
ru
|
|
:
|
|
static_cast<R>(ru) & static_cast<R>(rt)
|
|
;
|
|
}
|
|
|
|
template<class R, class T, class U>
|
|
SAFE_NUMERIC_CONSTEXPR checked_result<R> bitwise_xor(
|
|
const T & t,
|
|
const U & u
|
|
) {
|
|
static_assert(
|
|
std::is_integral<T>::value && std::is_signed<T>::value
|
|
&& std::is_integral<U>::value && std::is_signed<T>::value,
|
|
"only intrinsic unsigned integers permitted"
|
|
);
|
|
const checked_result<R> ru = cast<R>(u);
|
|
const checked_result<R> rt = cast<R>(t);
|
|
return
|
|
rt != exception_type::no_exception ?
|
|
rt
|
|
:
|
|
ru != exception_type::no_exception ?
|
|
ru
|
|
:
|
|
static_cast<R>(ru) ^ static_cast<R>(rt)
|
|
;
|
|
}
|
|
|
|
} // checked
|
|
} // numeric
|
|
} // boost
|
|
|
|
#endif // BOOST_NUMERIC__HPP
|