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- // (C) Copyright John Maddock 2005-2006.
- // 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_HYPOT_INCLUDED
- #define BOOST_MATH_HYPOT_INCLUDED
- #ifdef _MSC_VER
- #pragma once
- #endif
- #include <boost/math/tools/config.hpp>
- #include <boost/math/tools/precision.hpp>
- #include <boost/math/policies/error_handling.hpp>
- #include <boost/math/special_functions/math_fwd.hpp>
- #include <boost/config/no_tr1/cmath.hpp>
- #include <algorithm> // for swap
- #ifdef BOOST_NO_STDC_NAMESPACE
- namespace std{ using ::sqrt; using ::fabs; }
- #endif
- namespace boost{ namespace math{ namespace detail{
- template <class T, class Policy>
- T hypot_imp(T x, T y, const Policy& pol)
- {
- //
- // Normalize x and y, so that both are positive and x >= y:
- //
- using std::fabs; using std::sqrt; // ADL of std names
- x = fabs(x);
- y = fabs(y);
- #ifdef BOOST_MSVC
- #pragma warning(push)
- #pragma warning(disable: 4127)
- #endif
- // special case, see C99 Annex F:
- if(std::numeric_limits<T>::has_infinity
- && ((x == std::numeric_limits<T>::infinity())
- || (y == std::numeric_limits<T>::infinity())))
- return policies::raise_overflow_error<T>("boost::math::hypot<%1%>(%1%,%1%)", 0, pol);
- #ifdef BOOST_MSVC
- #pragma warning(pop)
- #endif
- if(y > x)
- (std::swap)(x, y);
- if(x * tools::epsilon<T>() >= y)
- return x;
- T rat = y / x;
- return x * sqrt(1 + rat*rat);
- } // template <class T> T hypot(T x, T y)
- }
- template <class T1, class T2>
- inline typename tools::promote_args<T1, T2>::type
- hypot(T1 x, T2 y)
- {
- typedef typename tools::promote_args<T1, T2>::type result_type;
- return detail::hypot_imp(
- static_cast<result_type>(x), static_cast<result_type>(y), policies::policy<>());
- }
- template <class T1, class T2, class Policy>
- inline typename tools::promote_args<T1, T2>::type
- hypot(T1 x, T2 y, const Policy& pol)
- {
- typedef typename tools::promote_args<T1, T2>::type result_type;
- return detail::hypot_imp(
- static_cast<result_type>(x), static_cast<result_type>(y), pol);
- }
- } // namespace math
- } // namespace boost
- #endif // BOOST_MATH_HYPOT_INCLUDED
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