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0014 #ifndef BOOST_MATH_ELLINT_RC_HPP
0015 #define BOOST_MATH_ELLINT_RC_HPP
0016
0017 #ifdef _MSC_VER
0018 #pragma once
0019 #endif
0020
0021 #include <boost/math/policies/error_handling.hpp>
0022 #include <boost/math/tools/config.hpp>
0023 #include <boost/math/special_functions/math_fwd.hpp>
0024 #include <boost/math/special_functions/log1p.hpp>
0025 #include <boost/math/constants/constants.hpp>
0026 #include <iostream>
0027
0028
0029
0030
0031
0032 namespace boost { namespace math { namespace detail{
0033
0034 template <typename T, typename Policy>
0035 T ellint_rc_imp(T x, T y, const Policy& pol)
0036 {
0037 BOOST_MATH_STD_USING
0038
0039 static const char* function = "boost::math::ellint_rc<%1%>(%1%,%1%)";
0040
0041 if(x < 0)
0042 {
0043 return policies::raise_domain_error<T>(function,
0044 "Argument x must be non-negative but got %1%", x, pol);
0045 }
0046 if(y == 0)
0047 {
0048 return policies::raise_domain_error<T>(function,
0049 "Argument y must not be zero but got %1%", y, pol);
0050 }
0051
0052
0053 T prefix, result;
0054 if(y < 0)
0055 {
0056 prefix = sqrt(x / (x - y));
0057 x = x - y;
0058 y = -y;
0059 }
0060 else
0061 prefix = 1;
0062
0063 if(x == 0)
0064 {
0065 result = constants::half_pi<T>() / sqrt(y);
0066 }
0067 else if(x == y)
0068 {
0069 result = 1 / sqrt(x);
0070 }
0071 else if(y > x)
0072 {
0073 result = atan(sqrt((y - x) / x)) / sqrt(y - x);
0074 }
0075 else
0076 {
0077 if(y / x > T(0.5))
0078 {
0079 T arg = sqrt((x - y) / x);
0080 result = (boost::math::log1p(arg, pol) - boost::math::log1p(-arg, pol)) / (2 * sqrt(x - y));
0081 }
0082 else
0083 {
0084 result = log((sqrt(x) + sqrt(x - y)) / sqrt(y)) / sqrt(x - y);
0085 }
0086 }
0087 return prefix * result;
0088 }
0089
0090 }
0091
0092 template <class T1, class T2, class Policy>
0093 inline typename tools::promote_args<T1, T2>::type
0094 ellint_rc(T1 x, T2 y, const Policy& pol)
0095 {
0096 typedef typename tools::promote_args<T1, T2>::type result_type;
0097 typedef typename policies::evaluation<result_type, Policy>::type value_type;
0098 return policies::checked_narrowing_cast<result_type, Policy>(
0099 detail::ellint_rc_imp(
0100 static_cast<value_type>(x),
0101 static_cast<value_type>(y), pol), "boost::math::ellint_rc<%1%>(%1%,%1%)");
0102 }
0103
0104 template <class T1, class T2>
0105 inline typename tools::promote_args<T1, T2>::type
0106 ellint_rc(T1 x, T2 y)
0107 {
0108 return ellint_rc(x, y, policies::policy<>());
0109 }
0110
0111 }}
0112
0113 #endif
0114