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33 lines
984 B
33 lines
984 B
5 years ago
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// (C) Copyright John Maddock 2005.
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// Use, modification and distribution are subject to the
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// Boost Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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#ifndef BOOST_MATH_COMPLEX_ASINH_INCLUDED
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#define BOOST_MATH_COMPLEX_ASINH_INCLUDED
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#ifndef BOOST_MATH_COMPLEX_DETAILS_INCLUDED
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# include <boost/math/complex/details.hpp>
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#endif
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#ifndef BOOST_MATH_COMPLEX_ASIN_INCLUDED
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# include <boost/math/complex/asin.hpp>
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#endif
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namespace boost{ namespace math{
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template<class T>
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inline std::complex<T> asinh(const std::complex<T>& x)
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{
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//
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// We use asinh(z) = i asin(-i z);
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// Note that C99 defines this the other way around (which is
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// to say asin is specified in terms of asinh), this is consistent
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// with C99 though:
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//
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return ::boost::math::detail::mult_i(::boost::math::asin(::boost::math::detail::mult_minus_i(x)));
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}
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} } // namespaces
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#endif // BOOST_MATH_COMPLEX_ASINH_INCLUDED
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