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- // Copyright John Maddock 2007.
- // Use, modification and distribution are subject to the
- // Boost Software License, Version 1.0. (See accompanying file
- // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
- #ifndef BOOST_MATH_ROUND_HPP
- #define BOOST_MATH_ROUND_HPP
- #ifdef _MSC_VER
- #pragma once
- #endif
- #include <boost/math/tools/config.hpp>
- #include <boost/math/policies/error_handling.hpp>
- #include <boost/math/special_functions/math_fwd.hpp>
- #include <boost/math/special_functions/fpclassify.hpp>
- namespace boost{ namespace math{
- namespace detail{
- template <class T, class Policy>
- inline typename tools::promote_args<T>::type round(const T& v, const Policy& pol, const std::false_type&)
- {
- BOOST_MATH_STD_USING
- typedef typename tools::promote_args<T>::type result_type;
- if(!(boost::math::isfinite)(v))
- return policies::raise_rounding_error("boost::math::round<%1%>(%1%)", 0, static_cast<result_type>(v), static_cast<result_type>(v), pol);
- //
- // The logic here is rather convoluted, but avoids a number of traps,
- // see discussion here https://github.com/boostorg/math/pull/8
- //
- if (-0.5 < v && v < 0.5)
- {
- // special case to avoid rounding error on the direct
- // predecessor of +0.5 resp. the direct successor of -0.5 in
- // IEEE floating point types
- return static_cast<result_type>(0);
- }
- else if (v > 0)
- {
- // subtract v from ceil(v) first in order to avoid rounding
- // errors on largest representable integer numbers
- result_type c(ceil(v));
- return 0.5 < c - v ? c - 1 : c;
- }
- else
- {
- // see former branch
- result_type f(floor(v));
- return 0.5 < v - f ? f + 1 : f;
- }
- }
- template <class T, class Policy>
- inline typename tools::promote_args<T>::type round(const T& v, const Policy&, const std::true_type&)
- {
- return v;
- }
- } // namespace detail
- template <class T, class Policy>
- inline typename tools::promote_args<T>::type round(const T& v, const Policy& pol)
- {
- return detail::round(v, pol, std::integral_constant<bool, detail::is_integer_for_rounding<T>::value>());
- }
- template <class T>
- inline typename tools::promote_args<T>::type round(const T& v)
- {
- return round(v, policies::policy<>());
- }
- //
- // The following functions will not compile unless T has an
- // implicit conversion to the integer types. For user-defined
- // number types this will likely not be the case. In that case
- // these functions should either be specialized for the UDT in
- // question, or else overloads should be placed in the same
- // namespace as the UDT: these will then be found via argument
- // dependent lookup. See our concept archetypes for examples.
- //
- // Non-standard numeric limits syntax "(std::numeric_limits<int>::max)()"
- // is to avoid macro substiution from MSVC
- // https://stackoverflow.com/questions/27442885/syntax-error-with-stdnumeric-limitsmax
- //
- template <class T, class Policy>
- inline int iround(const T& v, const Policy& pol)
- {
- BOOST_MATH_STD_USING
- typedef typename tools::promote_args<T>::type result_type;
- T r = boost::math::round(v, pol);
- if(r > static_cast<result_type>((std::numeric_limits<int>::max)()) || r < static_cast<result_type>((std::numeric_limits<int>::min)()))
- return static_cast<int>(policies::raise_rounding_error("boost::math::iround<%1%>(%1%)", 0, v, 0, pol));
- return static_cast<int>(r);
- }
- template <class T>
- inline int iround(const T& v)
- {
- return iround(v, policies::policy<>());
- }
- template <class T, class Policy>
- inline long lround(const T& v, const Policy& pol)
- {
- BOOST_MATH_STD_USING
- typedef typename tools::promote_args<T>::type result_type;
- T r = boost::math::round(v, pol);
- if(r > static_cast<result_type>((std::numeric_limits<long>::max)()) || r < static_cast<result_type>((std::numeric_limits<long>::min)()))
- return static_cast<long int>(policies::raise_rounding_error("boost::math::lround<%1%>(%1%)", 0, v, 0L, pol));
- return static_cast<long int>(r);
- }
- template <class T>
- inline long lround(const T& v)
- {
- return lround(v, policies::policy<>());
- }
- #ifdef BOOST_HAS_LONG_LONG
- template <class T, class Policy>
- inline boost::long_long_type llround(const T& v, const Policy& pol)
- {
- BOOST_MATH_STD_USING
- typedef typename tools::promote_args<T>::type result_type;
- T r = boost::math::round(v, pol);
- if(r > static_cast<result_type>((std::numeric_limits<boost::long_long_type>::max)()) ||
- r < static_cast<result_type>((std::numeric_limits<boost::long_long_type>::min)()))
- {
- return static_cast<boost::long_long_type>(policies::raise_rounding_error("boost::math::llround<%1%>(%1%)", 0, v, static_cast<boost::long_long_type>(0), pol));
- }
- return static_cast<boost::long_long_type>(r);
- }
- template <class T>
- inline boost::long_long_type llround(const T& v)
- {
- return llround(v, policies::policy<>());
- }
- #endif
- }} // namespaces
- #endif // BOOST_MATH_ROUND_HPP
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