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- // (C) Copyright John Maddock 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_POWM1
- #define BOOST_MATH_POWM1
- #ifdef _MSC_VER
- #pragma once
- #pragma warning(push)
- #pragma warning(disable:4702) // Unreachable code (release mode only warning)
- #endif
- #include <boost/math/special_functions/math_fwd.hpp>
- #include <boost/math/special_functions/log1p.hpp>
- #include <boost/math/special_functions/expm1.hpp>
- #include <boost/math/special_functions/trunc.hpp>
- #include <boost/assert.hpp>
- namespace boost{ namespace math{ namespace detail{
- template <class T, class Policy>
- inline T powm1_imp(const T x, const T y, const Policy& pol)
- {
- BOOST_MATH_STD_USING
- static const char* function = "boost::math::powm1<%1%>(%1%, %1%)";
- if (x > 0)
- {
- if ((fabs(y * (x - 1)) < 0.5) || (fabs(y) < 0.2))
- {
- // We don't have any good/quick approximation for log(x) * y
- // so just try it and see:
- T l = y * log(x);
- if (l < 0.5)
- return boost::math::expm1(l, pol);
- if (l > boost::math::tools::log_max_value<T>())
- return boost::math::policies::raise_overflow_error<T>(function, 0, pol);
- // fall through....
- }
- }
- else
- {
- // y had better be an integer:
- if (boost::math::trunc(y) != y)
- return boost::math::policies::raise_domain_error<T>(function, "For non-integral exponent, expected base > 0 but got %1%", x, pol);
- if (boost::math::trunc(y / 2) == y / 2)
- return powm1_imp(T(-x), y, pol);
- }
- return pow(x, y) - 1;
- }
- } // detail
- template <class T1, class T2>
- inline typename tools::promote_args<T1, T2>::type
- powm1(const T1 a, const T2 z)
- {
- typedef typename tools::promote_args<T1, T2>::type result_type;
- return detail::powm1_imp(static_cast<result_type>(a), static_cast<result_type>(z), policies::policy<>());
- }
- template <class T1, class T2, class Policy>
- inline typename tools::promote_args<T1, T2>::type
- powm1(const T1 a, const T2 z, const Policy& pol)
- {
- typedef typename tools::promote_args<T1, T2>::type result_type;
- return detail::powm1_imp(static_cast<result_type>(a), static_cast<result_type>(z), pol);
- }
- } // namespace math
- } // namespace boost
- #ifdef _MSC_VER
- #pragma warning(pop)
- #endif
- #endif // BOOST_MATH_POWM1
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