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1070 lines
42 KiB
1070 lines
42 KiB
// math_fwd.hpp |
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// TODO revise completely for new distribution classes. |
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// Copyright Paul A. Bristow 2006. |
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// Copyright John Maddock 2006. |
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// Use, modification and distribution are subject to the |
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// Boost Software License, Version 1.0. |
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// (See accompanying file LICENSE_1_0.txt |
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// or copy at http://www.boost.org/LICENSE_1_0.txt) |
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// Omnibus list of forward declarations of math special functions. |
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// IT = Integer type. |
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// RT = Real type (built-in floating-point types, float, double, long double) & User Defined Types |
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// AT = Integer or Real type |
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#ifndef BOOST_MATH_SPECIAL_MATH_FWD_HPP |
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#define BOOST_MATH_SPECIAL_MATH_FWD_HPP |
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#ifdef _MSC_VER |
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#pragma once |
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#endif |
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#include <boost/math/special_functions/detail/round_fwd.hpp> |
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#include <boost/math/tools/promotion.hpp> // for argument promotion. |
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#include <boost/math/policies/policy.hpp> |
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#include <boost/mpl/comparison.hpp> |
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#include <boost/config/no_tr1/complex.hpp> |
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#define BOOST_NO_MACRO_EXPAND /**/ |
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namespace boost |
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{ |
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namespace math |
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{ // Math functions (in roughly alphabetic order). |
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// Beta functions. |
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template <class RT1, class RT2> |
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typename tools::promote_args<RT1, RT2>::type |
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beta(RT1 a, RT2 b); // Beta function (2 arguments). |
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template <class RT1, class RT2, class A> |
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typename tools::promote_args<RT1, RT2, A>::type |
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beta(RT1 a, RT2 b, A x); // Beta function (3 arguments). |
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template <class RT1, class RT2, class RT3, class Policy> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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beta(RT1 a, RT2 b, RT3 x, const Policy& pol); // Beta function (3 arguments). |
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template <class RT1, class RT2, class RT3> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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betac(RT1 a, RT2 b, RT3 x); |
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template <class RT1, class RT2, class RT3, class Policy> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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betac(RT1 a, RT2 b, RT3 x, const Policy& pol); |
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template <class RT1, class RT2, class RT3> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibeta(RT1 a, RT2 b, RT3 x); // Incomplete beta function. |
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template <class RT1, class RT2, class RT3, class Policy> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibeta(RT1 a, RT2 b, RT3 x, const Policy& pol); // Incomplete beta function. |
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template <class RT1, class RT2, class RT3> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibetac(RT1 a, RT2 b, RT3 x); // Incomplete beta complement function. |
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template <class RT1, class RT2, class RT3, class Policy> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibetac(RT1 a, RT2 b, RT3 x, const Policy& pol); // Incomplete beta complement function. |
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template <class T1, class T2, class T3, class T4> |
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typename tools::promote_args<T1, T2, T3, T4>::type |
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ibeta_inv(T1 a, T2 b, T3 p, T4* py); |
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template <class T1, class T2, class T3, class T4, class Policy> |
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typename tools::promote_args<T1, T2, T3, T4>::type |
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ibeta_inv(T1 a, T2 b, T3 p, T4* py, const Policy& pol); |
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template <class RT1, class RT2, class RT3> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibeta_inv(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. |
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template <class RT1, class RT2, class RT3, class Policy> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibeta_inv(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. |
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template <class RT1, class RT2, class RT3> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibeta_inva(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. |
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template <class RT1, class RT2, class RT3, class Policy> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibeta_inva(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. |
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template <class RT1, class RT2, class RT3> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibeta_invb(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. |
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template <class RT1, class RT2, class RT3, class Policy> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibeta_invb(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. |
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template <class T1, class T2, class T3, class T4> |
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typename tools::promote_args<T1, T2, T3, T4>::type |
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ibetac_inv(T1 a, T2 b, T3 q, T4* py); |
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template <class T1, class T2, class T3, class T4, class Policy> |
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typename tools::promote_args<T1, T2, T3, T4>::type |
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ibetac_inv(T1 a, T2 b, T3 q, T4* py, const Policy& pol); |
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template <class RT1, class RT2, class RT3> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibetac_inv(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. |
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template <class RT1, class RT2, class RT3, class Policy> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibetac_inv(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. |
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template <class RT1, class RT2, class RT3> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibetac_inva(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. |
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template <class RT1, class RT2, class RT3, class Policy> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibetac_inva(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. |
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template <class RT1, class RT2, class RT3> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibetac_invb(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. |
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template <class RT1, class RT2, class RT3, class Policy> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibetac_invb(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. |
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template <class RT1, class RT2, class RT3> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibeta_derivative(RT1 a, RT2 b, RT3 x); // derivative of incomplete beta |
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template <class RT1, class RT2, class RT3, class Policy> |
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typename tools::promote_args<RT1, RT2, RT3>::type |
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ibeta_derivative(RT1 a, RT2 b, RT3 x, const Policy& pol); // derivative of incomplete beta |
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// erf & erfc error functions. |
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template <class RT> // Error function. |
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typename tools::promote_args<RT>::type erf(RT z); |
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template <class RT, class Policy> // Error function. |
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typename tools::promote_args<RT>::type erf(RT z, const Policy&); |
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template <class RT>// Error function complement. |
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typename tools::promote_args<RT>::type erfc(RT z); |
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template <class RT, class Policy>// Error function complement. |
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typename tools::promote_args<RT>::type erfc(RT z, const Policy&); |
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template <class RT>// Error function inverse. |
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typename tools::promote_args<RT>::type erf_inv(RT z); |
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template <class RT, class Policy>// Error function inverse. |
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typename tools::promote_args<RT>::type erf_inv(RT z, const Policy& pol); |
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template <class RT>// Error function complement inverse. |
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typename tools::promote_args<RT>::type erfc_inv(RT z); |
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template <class RT, class Policy>// Error function complement inverse. |
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typename tools::promote_args<RT>::type erfc_inv(RT z, const Policy& pol); |
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// Polynomials: |
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template <class T1, class T2, class T3> |
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typename tools::promote_args<T1, T2, T3>::type |
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legendre_next(unsigned l, T1 x, T2 Pl, T3 Plm1); |
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template <class T> |
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typename tools::promote_args<T>::type |
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legendre_p(int l, T x); |
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template <class T, class Policy> |
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typename tools::promote_args<T>::type |
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legendre_p(int l, T x, const Policy& pol); |
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template <class T> |
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typename tools::promote_args<T>::type |
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legendre_q(unsigned l, T x); |
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template <class T, class Policy> |
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typename tools::promote_args<T>::type |
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legendre_q(unsigned l, T x, const Policy& pol); |
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template <class T1, class T2, class T3> |
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typename tools::promote_args<T1, T2, T3>::type |
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legendre_next(unsigned l, unsigned m, T1 x, T2 Pl, T3 Plm1); |
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template <class T> |
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typename tools::promote_args<T>::type |
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legendre_p(int l, int m, T x); |
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template <class T, class Policy> |
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typename tools::promote_args<T>::type |
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legendre_p(int l, int m, T x, const Policy& pol); |
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template <class T1, class T2, class T3> |
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typename tools::promote_args<T1, T2, T3>::type |
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laguerre_next(unsigned n, T1 x, T2 Ln, T3 Lnm1); |
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template <class T1, class T2, class T3> |
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typename tools::promote_args<T1, T2, T3>::type |
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laguerre_next(unsigned n, unsigned l, T1 x, T2 Pl, T3 Plm1); |
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template <class T> |
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typename tools::promote_args<T>::type |
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laguerre(unsigned n, T x); |
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template <class T, class Policy> |
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typename tools::promote_args<T>::type |
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laguerre(unsigned n, unsigned m, T x, const Policy& pol); |
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template <class T1, class T2> |
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struct laguerre_result |
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{ |
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typedef typename mpl::if_< |
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policies::is_policy<T2>, |
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typename tools::promote_args<T1>::type, |
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typename tools::promote_args<T2>::type |
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>::type type; |
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}; |
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template <class T1, class T2> |
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typename laguerre_result<T1, T2>::type |
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laguerre(unsigned n, T1 m, T2 x); |
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template <class T> |
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typename tools::promote_args<T>::type |
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hermite(unsigned n, T x); |
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template <class T, class Policy> |
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typename tools::promote_args<T>::type |
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hermite(unsigned n, T x, const Policy& pol); |
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template <class T1, class T2, class T3> |
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typename tools::promote_args<T1, T2, T3>::type |
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hermite_next(unsigned n, T1 x, T2 Hn, T3 Hnm1); |
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template <class T1, class T2> |
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std::complex<typename tools::promote_args<T1, T2>::type> |
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spherical_harmonic(unsigned n, int m, T1 theta, T2 phi); |
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template <class T1, class T2, class Policy> |
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std::complex<typename tools::promote_args<T1, T2>::type> |
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spherical_harmonic(unsigned n, int m, T1 theta, T2 phi, const Policy& pol); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type |
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spherical_harmonic_r(unsigned n, int m, T1 theta, T2 phi); |
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template <class T1, class T2, class Policy> |
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typename tools::promote_args<T1, T2>::type |
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spherical_harmonic_r(unsigned n, int m, T1 theta, T2 phi, const Policy& pol); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type |
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spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi); |
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template <class T1, class T2, class Policy> |
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typename tools::promote_args<T1, T2>::type |
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spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi, const Policy& pol); |
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// Elliptic integrals: |
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template <class T1, class T2, class T3> |
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typename tools::promote_args<T1, T2, T3>::type |
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ellint_rf(T1 x, T2 y, T3 z); |
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template <class T1, class T2, class T3, class Policy> |
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typename tools::promote_args<T1, T2, T3>::type |
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ellint_rf(T1 x, T2 y, T3 z, const Policy& pol); |
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template <class T1, class T2, class T3> |
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typename tools::promote_args<T1, T2, T3>::type |
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ellint_rd(T1 x, T2 y, T3 z); |
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template <class T1, class T2, class T3, class Policy> |
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typename tools::promote_args<T1, T2, T3>::type |
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ellint_rd(T1 x, T2 y, T3 z, const Policy& pol); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type |
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ellint_rc(T1 x, T2 y); |
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template <class T1, class T2, class Policy> |
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typename tools::promote_args<T1, T2>::type |
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ellint_rc(T1 x, T2 y, const Policy& pol); |
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template <class T1, class T2, class T3, class T4> |
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typename tools::promote_args<T1, T2, T3, T4>::type |
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ellint_rj(T1 x, T2 y, T3 z, T4 p); |
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template <class T1, class T2, class T3, class T4, class Policy> |
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typename tools::promote_args<T1, T2, T3, T4>::type |
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ellint_rj(T1 x, T2 y, T3 z, T4 p, const Policy& pol); |
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template <typename T> |
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typename tools::promote_args<T>::type ellint_2(T k); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi); |
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template <class T1, class T2, class Policy> |
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typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi, const Policy& pol); |
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template <typename T> |
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typename tools::promote_args<T>::type ellint_1(T k); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi); |
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template <class T1, class T2, class Policy> |
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typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi, const Policy& pol); |
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namespace detail{ |
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template <class T, class U, class V> |
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struct ellint_3_result |
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{ |
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typedef typename mpl::if_< |
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policies::is_policy<V>, |
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typename tools::promote_args<T, U>::type, |
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typename tools::promote_args<T, U, V>::type |
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>::type type; |
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}; |
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} // namespace detail |
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template <class T1, class T2, class T3> |
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typename detail::ellint_3_result<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi); |
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template <class T1, class T2, class T3, class Policy> |
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typename tools::promote_args<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi, const Policy& pol); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type ellint_3(T1 k, T2 v); |
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// Factorial functions. |
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// Note: not for integral types, at present. |
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template <class RT> |
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struct max_factorial; |
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template <class RT> |
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RT factorial(unsigned int); |
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template <class RT, class Policy> |
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RT factorial(unsigned int, const Policy& pol); |
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template <class RT> |
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RT unchecked_factorial(unsigned int BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(RT)); |
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template <class RT> |
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RT double_factorial(unsigned i); |
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template <class RT, class Policy> |
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RT double_factorial(unsigned i, const Policy& pol); |
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template <class RT> |
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typename tools::promote_args<RT>::type falling_factorial(RT x, unsigned n); |
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template <class RT, class Policy> |
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typename tools::promote_args<RT>::type falling_factorial(RT x, unsigned n, const Policy& pol); |
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template <class RT> |
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typename tools::promote_args<RT>::type rising_factorial(RT x, int n); |
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template <class RT, class Policy> |
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typename tools::promote_args<RT>::type rising_factorial(RT x, int n, const Policy& pol); |
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// Gamma functions. |
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template <class RT> |
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typename tools::promote_args<RT>::type tgamma(RT z); |
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template <class RT> |
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typename tools::promote_args<RT>::type tgamma1pm1(RT z); |
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template <class RT, class Policy> |
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typename tools::promote_args<RT>::type tgamma1pm1(RT z, const Policy& pol); |
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template <class RT1, class RT2> |
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typename tools::promote_args<RT1, RT2>::type tgamma(RT1 a, RT2 z); |
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template <class RT1, class RT2, class Policy> |
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typename tools::promote_args<RT1, RT2>::type tgamma(RT1 a, RT2 z, const Policy& pol); |
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template <class RT> |
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typename tools::promote_args<RT>::type lgamma(RT z, int* sign); |
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template <class RT, class Policy> |
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typename tools::promote_args<RT>::type lgamma(RT z, int* sign, const Policy& pol); |
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template <class RT> |
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typename tools::promote_args<RT>::type lgamma(RT x); |
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template <class RT, class Policy> |
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typename tools::promote_args<RT>::type lgamma(RT x, const Policy& pol); |
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template <class RT1, class RT2> |
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typename tools::promote_args<RT1, RT2>::type tgamma_lower(RT1 a, RT2 z); |
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template <class RT1, class RT2, class Policy> |
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typename tools::promote_args<RT1, RT2>::type tgamma_lower(RT1 a, RT2 z, const Policy&); |
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template <class RT1, class RT2> |
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typename tools::promote_args<RT1, RT2>::type gamma_q(RT1 a, RT2 z); |
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template <class RT1, class RT2, class Policy> |
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typename tools::promote_args<RT1, RT2>::type gamma_q(RT1 a, RT2 z, const Policy&); |
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template <class RT1, class RT2> |
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typename tools::promote_args<RT1, RT2>::type gamma_p(RT1 a, RT2 z); |
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template <class RT1, class RT2, class Policy> |
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typename tools::promote_args<RT1, RT2>::type gamma_p(RT1 a, RT2 z, const Policy&); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type tgamma_delta_ratio(T1 z, T2 delta); |
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template <class T1, class T2, class Policy> |
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typename tools::promote_args<T1, T2>::type tgamma_delta_ratio(T1 z, T2 delta, const Policy&); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type tgamma_ratio(T1 a, T2 b); |
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template <class T1, class T2, class Policy> |
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typename tools::promote_args<T1, T2>::type tgamma_ratio(T1 a, T2 b, const Policy&); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type gamma_p_derivative(T1 a, T2 x); |
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template <class T1, class T2, class Policy> |
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typename tools::promote_args<T1, T2>::type gamma_p_derivative(T1 a, T2 x, const Policy&); |
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// gamma inverse. |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type gamma_p_inv(T1 a, T2 p); |
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template <class T1, class T2, class Policy> |
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typename tools::promote_args<T1, T2>::type gamma_p_inva(T1 a, T2 p, const Policy&); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type gamma_p_inva(T1 a, T2 p); |
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template <class T1, class T2, class Policy> |
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typename tools::promote_args<T1, T2>::type gamma_p_inv(T1 a, T2 p, const Policy&); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type gamma_q_inv(T1 a, T2 q); |
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template <class T1, class T2, class Policy> |
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typename tools::promote_args<T1, T2>::type gamma_q_inv(T1 a, T2 q, const Policy&); |
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template <class T1, class T2> |
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typename tools::promote_args<T1, T2>::type gamma_q_inva(T1 a, T2 q); |
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template <class T1, class T2, class Policy> |
|
typename tools::promote_args<T1, T2>::type gamma_q_inva(T1 a, T2 q, const Policy&); |
|
|
|
// digamma: |
|
template <class T> |
|
typename tools::promote_args<T>::type digamma(T x); |
|
|
|
template <class T, class Policy> |
|
typename tools::promote_args<T>::type digamma(T x, const Policy&); |
|
|
|
// Hypotenuse function sqrt(x ^ 2 + y ^ 2). |
|
template <class T1, class T2> |
|
typename tools::promote_args<T1, T2>::type |
|
hypot(T1 x, T2 y); |
|
|
|
template <class T1, class T2, class Policy> |
|
typename tools::promote_args<T1, T2>::type |
|
hypot(T1 x, T2 y, const Policy&); |
|
|
|
// cbrt - cube root. |
|
template <class RT> |
|
typename tools::promote_args<RT>::type cbrt(RT z); |
|
|
|
template <class RT, class Policy> |
|
typename tools::promote_args<RT>::type cbrt(RT z, const Policy&); |
|
|
|
// log1p is log(x + 1) |
|
template <class T> |
|
typename tools::promote_args<T>::type log1p(T); |
|
|
|
template <class T, class Policy> |
|
typename tools::promote_args<T>::type log1p(T, const Policy&); |
|
|
|
// log1pmx is log(x + 1) - x |
|
template <class T> |
|
typename tools::promote_args<T>::type log1pmx(T); |
|
|
|
template <class T, class Policy> |
|
typename tools::promote_args<T>::type log1pmx(T, const Policy&); |
|
|
|
// Exp (x) minus 1 functions. |
|
template <class T> |
|
typename tools::promote_args<T>::type expm1(T); |
|
|
|
template <class T, class Policy> |
|
typename tools::promote_args<T>::type expm1(T, const Policy&); |
|
|
|
// Power - 1 |
|
template <class T1, class T2> |
|
typename tools::promote_args<T1, T2>::type |
|
powm1(const T1 a, const T2 z); |
|
|
|
template <class T1, class T2, class Policy> |
|
typename tools::promote_args<T1, T2>::type |
|
powm1(const T1 a, const T2 z, const Policy&); |
|
|
|
// sqrt(1+x) - 1 |
|
template <class T> |
|
typename tools::promote_args<T>::type sqrt1pm1(const T& val); |
|
|
|
template <class T, class Policy> |
|
typename tools::promote_args<T>::type sqrt1pm1(const T& val, const Policy&); |
|
|
|
// sinus cardinals: |
|
template <class T> |
|
typename tools::promote_args<T>::type sinc_pi(T x); |
|
|
|
template <class T, class Policy> |
|
typename tools::promote_args<T>::type sinc_pi(T x, const Policy&); |
|
|
|
template <class T> |
|
typename tools::promote_args<T>::type sinhc_pi(T x); |
|
|
|
template <class T, class Policy> |
|
typename tools::promote_args<T>::type sinhc_pi(T x, const Policy&); |
|
|
|
// inverse hyperbolics: |
|
template<typename T> |
|
typename tools::promote_args<T>::type asinh(T x); |
|
|
|
template<typename T, class Policy> |
|
typename tools::promote_args<T>::type asinh(T x, const Policy&); |
|
|
|
template<typename T> |
|
typename tools::promote_args<T>::type acosh(T x); |
|
|
|
template<typename T, class Policy> |
|
typename tools::promote_args<T>::type acosh(T x, const Policy&); |
|
|
|
template<typename T> |
|
typename tools::promote_args<T>::type atanh(T x); |
|
|
|
template<typename T, class Policy> |
|
typename tools::promote_args<T>::type atanh(T x, const Policy&); |
|
|
|
namespace detail{ |
|
|
|
typedef mpl::int_<0> bessel_no_int_tag; // No integer optimisation possible. |
|
typedef mpl::int_<1> bessel_maybe_int_tag; // Maybe integer optimisation. |
|
typedef mpl::int_<2> bessel_int_tag; // Definite integer optimistaion. |
|
|
|
template <class T1, class T2, class Policy> |
|
struct bessel_traits |
|
{ |
|
typedef typename tools::promote_args< |
|
T1, T2 |
|
>::type result_type; |
|
|
|
typedef typename policies::precision<result_type, Policy>::type precision_type; |
|
|
|
typedef typename mpl::if_< |
|
mpl::or_< |
|
mpl::less_equal<precision_type, mpl::int_<0> >, |
|
mpl::greater<precision_type, mpl::int_<64> > >, |
|
bessel_no_int_tag, |
|
typename mpl::if_< |
|
is_integral<T1>, |
|
bessel_int_tag, |
|
bessel_maybe_int_tag |
|
>::type |
|
>::type optimisation_tag; |
|
}; |
|
} // detail |
|
|
|
// Bessel functions: |
|
template <class T1, class T2, class Policy> |
|
typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_j(T1 v, T2 x, const Policy& pol); |
|
|
|
template <class T1, class T2> |
|
typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_j(T1 v, T2 x); |
|
|
|
template <class T, class Policy> |
|
typename detail::bessel_traits<T, T, Policy>::result_type sph_bessel(unsigned v, T x, const Policy& pol); |
|
|
|
template <class T> |
|
typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_bessel(unsigned v, T x); |
|
|
|
template <class T1, class T2, class Policy> |
|
typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_i(T1 v, T2 x, const Policy& pol); |
|
|
|
template <class T1, class T2> |
|
typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_i(T1 v, T2 x); |
|
|
|
template <class T1, class T2, class Policy> |
|
typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_k(T1 v, T2 x, const Policy& pol); |
|
|
|
template <class T1, class T2> |
|
typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_k(T1 v, T2 x); |
|
|
|
template <class T1, class T2, class Policy> |
|
typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_neumann(T1 v, T2 x, const Policy& pol); |
|
|
|
template <class T1, class T2> |
|
typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_neumann(T1 v, T2 x); |
|
|
|
template <class T, class Policy> |
|
typename detail::bessel_traits<T, T, Policy>::result_type sph_neumann(unsigned v, T x, const Policy& pol); |
|
|
|
template <class T> |
|
typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_neumann(unsigned v, T x); |
|
|
|
template <class T, class Policy> |
|
typename tools::promote_args<T>::type sin_pi(T x, const Policy&); |
|
|
|
template <class T> |
|
typename tools::promote_args<T>::type sin_pi(T x); |
|
|
|
template <class T, class Policy> |
|
typename tools::promote_args<T>::type cos_pi(T x, const Policy&); |
|
|
|
template <class T> |
|
typename tools::promote_args<T>::type cos_pi(T x); |
|
|
|
template <class T> |
|
int fpclassify BOOST_NO_MACRO_EXPAND(T t); |
|
|
|
template <class T> |
|
bool isfinite BOOST_NO_MACRO_EXPAND(T z); |
|
|
|
template <class T> |
|
bool isinf BOOST_NO_MACRO_EXPAND(T t); |
|
|
|
template <class T> |
|
bool isnan BOOST_NO_MACRO_EXPAND(T t); |
|
|
|
template <class T> |
|
bool isnormal BOOST_NO_MACRO_EXPAND(T t); |
|
|
|
template<class T> |
|
int signbit BOOST_NO_MACRO_EXPAND(T x); |
|
|
|
template <class T> |
|
int sign BOOST_NO_MACRO_EXPAND(const T& z); |
|
|
|
template <class T> |
|
T copysign BOOST_NO_MACRO_EXPAND(const T& x, const T& y); |
|
|
|
template <class T> |
|
T changesign BOOST_NO_MACRO_EXPAND(const T& z); |
|
|
|
// Exponential integrals: |
|
namespace detail{ |
|
|
|
template <class T, class U> |
|
struct expint_result |
|
{ |
|
typedef typename mpl::if_< |
|
policies::is_policy<U>, |
|
typename tools::promote_args<T>::type, |
|
typename tools::promote_args<U>::type |
|
>::type type; |
|
}; |
|
|
|
} // namespace detail |
|
|
|
template <class T, class Policy> |
|
typename tools::promote_args<T>::type expint(unsigned n, T z, const Policy&); |
|
|
|
template <class T, class U> |
|
typename detail::expint_result<T, U>::type expint(T const z, U const u); |
|
|
|
template <class T> |
|
typename tools::promote_args<T>::type expint(T z); |
|
|
|
// Zeta: |
|
template <class T, class Policy> |
|
typename tools::promote_args<T>::type zeta(T s, const Policy&); |
|
|
|
template <class T> |
|
typename tools::promote_args<T>::type zeta(T s); |
|
|
|
// pow: |
|
template <int N, typename T, class Policy> |
|
typename tools::promote_args<T>::type pow(T base, const Policy& policy); |
|
|
|
template <int N, typename T> |
|
typename tools::promote_args<T>::type pow(T base); |
|
|
|
// next: |
|
template <class T, class Policy> |
|
T nextafter(const T&, const T&, const Policy&); |
|
template <class T> |
|
T nextafter(const T&, const T&); |
|
template <class T, class Policy> |
|
T float_next(const T&, const Policy&); |
|
template <class T> |
|
T float_next(const T&); |
|
template <class T, class Policy> |
|
T float_prior(const T&, const Policy&); |
|
template <class T> |
|
T float_prior(const T&); |
|
template <class T, class Policy> |
|
T float_distance(const T&, const T&, const Policy&); |
|
template <class T> |
|
T float_distance(const T&, const T&); |
|
|
|
} // namespace math |
|
} // namespace boost |
|
|
|
#ifdef BOOST_HAS_LONG_LONG |
|
#define BOOST_MATH_DETAIL_LL_FUNC(Policy)\ |
|
\ |
|
template <class T>\ |
|
inline T modf(const T& v, boost::long_long_type* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ |
|
\ |
|
template <class T>\ |
|
inline boost::long_long_type lltrunc(const T& v){ using boost::math::lltrunc; return lltrunc(v, Policy()); }\ |
|
\ |
|
template <class T>\ |
|
inline boost::long_long_type llround(const T& v){ using boost::math::llround; return llround(v, Policy()); }\ |
|
|
|
#else |
|
#define BOOST_MATH_DETAIL_LL_FUNC(Policy) |
|
#endif |
|
|
|
#define BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(Policy)\ |
|
\ |
|
BOOST_MATH_DETAIL_LL_FUNC(Policy)\ |
|
\ |
|
template <class RT1, class RT2>\ |
|
inline typename boost::math::tools::promote_args<RT1, RT2>::type \ |
|
beta(RT1 a, RT2 b) { return ::boost::math::beta(a, b, Policy()); }\ |
|
\ |
|
template <class RT1, class RT2, class A>\ |
|
inline typename boost::math::tools::promote_args<RT1, RT2, A>::type \ |
|
beta(RT1 a, RT2 b, A x){ return ::boost::math::beta(a, b, x, Policy()); }\ |
|
\ |
|
template <class RT1, class RT2, class RT3>\ |
|
inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ |
|
betac(RT1 a, RT2 b, RT3 x) { return ::boost::math::betac(a, b, x, Policy()); }\ |
|
\ |
|
template <class RT1, class RT2, class RT3>\ |
|
inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ |
|
ibeta(RT1 a, RT2 b, RT3 x){ return ::boost::math::ibeta(a, b, x, Policy()); }\ |
|
\ |
|
template <class RT1, class RT2, class RT3>\ |
|
inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ |
|
ibetac(RT1 a, RT2 b, RT3 x){ return ::boost::math::ibetac(a, b, x, Policy()); }\ |
|
\ |
|
template <class T1, class T2, class T3, class T4>\ |
|
inline typename boost::math::tools::promote_args<T1, T2, T3, T4>::type \ |
|
ibeta_inv(T1 a, T2 b, T3 p, T4* py){ return ::boost::math::ibeta_inv(a, b, p, py, Policy()); }\ |
|
\ |
|
template <class RT1, class RT2, class RT3>\ |
|
inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ |
|
ibeta_inv(RT1 a, RT2 b, RT3 p){ return ::boost::math::ibeta_inv(a, b, p, Policy()); }\ |
|
\ |
|
template <class T1, class T2, class T3, class T4>\ |
|
inline typename boost::math::tools::promote_args<T1, T2, T3, T4>::type \ |
|
ibetac_inv(T1 a, T2 b, T3 q, T4* py){ return ::boost::math::ibetac_inv(a, b, q, py, Policy()); }\ |
|
\ |
|
template <class RT1, class RT2, class RT3>\ |
|
inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ |
|
ibeta_inva(RT1 a, RT2 b, RT3 p){ return ::boost::math::ibeta_inva(a, b, p, Policy()); }\ |
|
\ |
|
template <class T1, class T2, class T3>\ |
|
inline typename boost::math::tools::promote_args<T1, T2, T3>::type \ |
|
ibetac_inva(T1 a, T2 b, T3 q){ return ::boost::math::ibetac_inva(a, b, q, Policy()); }\ |
|
\ |
|
template <class RT1, class RT2, class RT3>\ |
|
inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ |
|
ibeta_invb(RT1 a, RT2 b, RT3 p){ return ::boost::math::ibeta_invb(a, b, p, Policy()); }\ |
|
\ |
|
template <class T1, class T2, class T3>\ |
|
inline typename boost::math::tools::promote_args<T1, T2, T3>::type \ |
|
ibetac_invb(T1 a, T2 b, T3 q){ return ::boost::math::ibetac_invb(a, b, q, Policy()); }\ |
|
\ |
|
template <class RT1, class RT2, class RT3>\ |
|
inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ |
|
ibetac_inv(RT1 a, RT2 b, RT3 q){ return ::boost::math::ibetac_inv(a, b, q, Policy()); }\ |
|
\ |
|
template <class RT1, class RT2, class RT3>\ |
|
inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ |
|
ibeta_derivative(RT1 a, RT2 b, RT3 x){ return ::boost::math::ibeta_derivative(a, b, x, Policy()); }\ |
|
\ |
|
template <class RT>\ |
|
inline typename boost::math::tools::promote_args<RT>::type erf(RT z) { return ::boost::math::erf(z, Policy()); }\ |
|
\ |
|
template <class RT>\ |
|
inline typename boost::math::tools::promote_args<RT>::type erfc(RT z){ return ::boost::math::erfc(z, Policy()); }\ |
|
\ |
|
template <class RT>\ |
|
inline typename boost::math::tools::promote_args<RT>::type erf_inv(RT z) { return ::boost::math::erf_inv(z, Policy()); }\ |
|
\ |
|
template <class RT>\ |
|
inline typename boost::math::tools::promote_args<RT>::type erfc_inv(RT z){ return ::boost::math::erfc_inv(z, Policy()); }\ |
|
\ |
|
using boost::math::legendre_next;\ |
|
\ |
|
template <class T>\ |
|
inline typename boost::math::tools::promote_args<T>::type \ |
|
legendre_p(int l, T x){ return ::boost::math::legendre_p(l, x, Policy()); }\ |
|
\ |
|
template <class T>\ |
|
inline typename boost::math::tools::promote_args<T>::type \ |
|
legendre_q(unsigned l, T x){ return ::boost::math::legendre_q(l, x, Policy()); }\ |
|
\ |
|
using ::boost::math::legendre_next;\ |
|
\ |
|
template <class T>\ |
|
inline typename boost::math::tools::promote_args<T>::type \ |
|
legendre_p(int l, int m, T x){ return ::boost::math::legendre_p(l, m, x, Policy()); }\ |
|
\ |
|
using ::boost::math::laguerre_next;\ |
|
\ |
|
template <class T>\ |
|
inline typename boost::math::tools::promote_args<T>::type \ |
|
laguerre(unsigned n, T x){ return ::boost::math::laguerre(n, x, Policy()); }\ |
|
\ |
|
template <class T1, class T2>\ |
|
inline typename boost::math::laguerre_result<T1, T2>::type \ |
|
laguerre(unsigned n, T1 m, T2 x) { return ::boost::math::laguerre(n, m, x, Policy()); }\ |
|
\ |
|
template <class T>\ |
|
inline typename boost::math::tools::promote_args<T>::type \ |
|
hermite(unsigned n, T x){ return ::boost::math::hermite(n, x, Policy()); }\ |
|
\ |
|
using boost::math::hermite_next;\ |
|
\ |
|
template <class T1, class T2>\ |
|
inline std::complex<typename boost::math::tools::promote_args<T1, T2>::type> \ |
|
spherical_harmonic(unsigned n, int m, T1 theta, T2 phi){ return boost::math::spherical_harmonic(n, m, theta, phi, Policy()); }\ |
|
\ |
|
template <class T1, class T2>\ |
|
inline typename boost::math::tools::promote_args<T1, T2>::type \ |
|
spherical_harmonic_r(unsigned n, int m, T1 theta, T2 phi){ return ::boost::math::spherical_harmonic_r(n, m, theta, phi, Policy()); }\ |
|
\ |
|
template <class T1, class T2>\ |
|
inline typename boost::math::tools::promote_args<T1, T2>::type \ |
|
spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi){ return boost::math::spherical_harmonic_i(n, m, theta, phi, Policy()); }\ |
|
\ |
|
template <class T1, class T2, class Policy>\ |
|
inline typename boost::math::tools::promote_args<T1, T2>::type \ |
|
spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi, const Policy& pol);\ |
|
\ |
|
template <class T1, class T2, class T3>\ |
|
inline typename boost::math::tools::promote_args<T1, T2, T3>::type \ |
|
ellint_rf(T1 x, T2 y, T3 z){ return ::boost::math::ellint_rf(x, y, z, Policy()); }\ |
|
\ |
|
template <class T1, class T2, class T3>\ |
|
inline typename boost::math::tools::promote_args<T1, T2, T3>::type \ |
|
ellint_rd(T1 x, T2 y, T3 z){ return ::boost::math::ellint_rd(x, y, z, Policy()); }\ |
|
\ |
|
template <class T1, class T2>\ |
|
inline typename boost::math::tools::promote_args<T1, T2>::type \ |
|
ellint_rc(T1 x, T2 y){ return ::boost::math::ellint_rc(x, y, Policy()); }\ |
|
\ |
|
template <class T1, class T2, class T3, class T4>\ |
|
inline typename boost::math::tools::promote_args<T1, T2, T3, T4>::type \ |
|
ellint_rj(T1 x, T2 y, T3 z, T4 p){ return boost::math::ellint_rj(x, y, z, p, Policy()); }\ |
|
\ |
|
template <typename T>\ |
|
inline typename boost::math::tools::promote_args<T>::type ellint_2(T k){ return boost::math::ellint_2(k, Policy()); }\ |
|
\ |
|
template <class T1, class T2>\ |
|
inline typename boost::math::tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi){ return boost::math::ellint_2(k, phi, Policy()); }\ |
|
\ |
|
template <typename T>\ |
|
inline typename boost::math::tools::promote_args<T>::type ellint_1(T k){ return boost::math::ellint_1(k, Policy()); }\ |
|
\ |
|
template <class T1, class T2>\ |
|
inline typename boost::math::tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi){ return boost::math::ellint_1(k, phi, Policy()); }\ |
|
\ |
|
template <class T1, class T2, class T3>\ |
|
inline typename boost::math::tools::promote_args<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi){ return boost::math::ellint_3(k, v, phi, Policy()); }\ |
|
\ |
|
template <class T1, class T2>\ |
|
inline typename boost::math::tools::promote_args<T1, T2>::type ellint_3(T1 k, T2 v){ return boost::math::ellint_3(k, v, Policy()); }\ |
|
\ |
|
using boost::math::max_factorial;\ |
|
template <class RT>\ |
|
inline RT factorial(unsigned int i) { return boost::math::factorial<RT>(i, Policy()); }\ |
|
using boost::math::unchecked_factorial;\ |
|
template <class RT>\ |
|
inline RT double_factorial(unsigned i){ return boost::math::double_factorial<RT>(i, Policy()); }\ |
|
template <class RT>\ |
|
inline typename boost::math::tools::promote_args<RT>::type falling_factorial(RT x, unsigned n){ return boost::math::falling_factorial(x, n, Policy()); }\ |
|
template <class RT>\ |
|
inline typename boost::math::tools::promote_args<RT>::type rising_factorial(RT x, unsigned n){ return boost::math::rising_factorial(x, n, Policy()); }\ |
|
\ |
|
template <class RT>\ |
|
inline typename boost::math::tools::promote_args<RT>::type tgamma(RT z){ return boost::math::tgamma(z, Policy()); }\ |
|
\ |
|
template <class RT>\ |
|
inline typename boost::math::tools::promote_args<RT>::type tgamma1pm1(RT z){ return boost::math::tgamma1pm1(z, Policy()); }\ |
|
\ |
|
template <class RT1, class RT2>\ |
|
inline typename boost::math::tools::promote_args<RT1, RT2>::type tgamma(RT1 a, RT2 z){ return boost::math::tgamma(a, z, Policy()); }\ |
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\ |
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template <class RT>\ |
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inline typename boost::math::tools::promote_args<RT>::type lgamma(RT z, int* sign){ return boost::math::lgamma(z, sign, Policy()); }\ |
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\ |
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template <class RT>\ |
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inline typename boost::math::tools::promote_args<RT>::type lgamma(RT x){ return boost::math::lgamma(x, Policy()); }\ |
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\ |
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template <class RT1, class RT2>\ |
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inline typename boost::math::tools::promote_args<RT1, RT2>::type tgamma_lower(RT1 a, RT2 z){ return boost::math::tgamma_lower(a, z, Policy()); }\ |
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\ |
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template <class RT1, class RT2>\ |
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inline typename boost::math::tools::promote_args<RT1, RT2>::type gamma_q(RT1 a, RT2 z){ return boost::math::gamma_q(a, z, Policy()); }\ |
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\ |
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template <class RT1, class RT2>\ |
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inline typename boost::math::tools::promote_args<RT1, RT2>::type gamma_p(RT1 a, RT2 z){ return boost::math::gamma_p(a, z, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::tools::promote_args<T1, T2>::type tgamma_delta_ratio(T1 z, T2 delta){ return boost::math::tgamma_delta_ratio(z, delta, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::tools::promote_args<T1, T2>::type tgamma_ratio(T1 a, T2 b) { return boost::math::tgamma_ratio(a, b, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::tools::promote_args<T1, T2>::type gamma_p_derivative(T1 a, T2 x){ return boost::math::gamma_p_derivative(a, x, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::tools::promote_args<T1, T2>::type gamma_p_inv(T1 a, T2 p){ return boost::math::gamma_p_inv(a, p, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::tools::promote_args<T1, T2>::type gamma_p_inva(T1 a, T2 p){ return boost::math::gamma_p_inva(a, p, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::tools::promote_args<T1, T2>::type gamma_q_inv(T1 a, T2 q){ return boost::math::gamma_q_inv(a, q, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::tools::promote_args<T1, T2>::type gamma_q_inva(T1 a, T2 q){ return boost::math::gamma_q_inva(a, q, Policy()); }\ |
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\ |
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template <class T>\ |
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inline typename boost::math::tools::promote_args<T>::type digamma(T x){ return boost::math::digamma(x, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::tools::promote_args<T1, T2>::type \ |
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hypot(T1 x, T2 y){ return boost::math::hypot(x, y, Policy()); }\ |
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\ |
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template <class RT>\ |
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inline typename boost::math::tools::promote_args<RT>::type cbrt(RT z){ return boost::math::cbrt(z, Policy()); }\ |
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\ |
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template <class T>\ |
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inline typename boost::math::tools::promote_args<T>::type log1p(T x){ return boost::math::log1p(x, Policy()); }\ |
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\ |
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template <class T>\ |
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inline typename boost::math::tools::promote_args<T>::type log1pmx(T x){ return boost::math::log1pmx(x, Policy()); }\ |
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template <class T>\ |
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inline typename boost::math::tools::promote_args<T>::type expm1(T x){ return boost::math::expm1(x, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::tools::promote_args<T1, T2>::type \ |
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powm1(const T1 a, const T2 z){ return boost::math::powm1(a, z, Policy()); }\ |
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template <class T>\ |
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inline typename boost::math::tools::promote_args<T>::type sqrt1pm1(const T& val){ return boost::math::sqrt1pm1(val, Policy()); }\ |
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template <class T>\ |
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inline typename boost::math::tools::promote_args<T>::type sinc_pi(T x){ return boost::math::sinc_pi(x, Policy()); }\ |
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template <class T>\ |
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inline typename boost::math::tools::promote_args<T>::type sinhc_pi(T x){ return boost::math::sinhc_pi(x, Policy()); }\ |
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template<typename T>\ |
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inline typename boost::math::tools::promote_args<T>::type asinh(const T x){ return boost::math::asinh(x, Policy()); }\ |
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template<typename T>\ |
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inline typename boost::math::tools::promote_args<T>::type acosh(const T x){ return boost::math::acosh(x, Policy()); }\ |
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\ |
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template<typename T>\ |
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inline typename boost::math::tools::promote_args<T>::type atanh(const T x){ return boost::math::atanh(x, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type cyl_bessel_j(T1 v, T2 x)\ |
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{ return boost::math::cyl_bessel_j(v, x, Policy()); }\ |
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\ |
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template <class T>\ |
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inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type sph_bessel(unsigned v, T x)\ |
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{ return boost::math::sph_bessel(v, x, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ |
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cyl_bessel_i(T1 v, T2 x) { return boost::math::cyl_bessel_i(v, x, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ |
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cyl_bessel_k(T1 v, T2 x) { return boost::math::cyl_bessel_k(v, x, Policy()); }\ |
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\ |
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template <class T1, class T2>\ |
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inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ |
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cyl_neumann(T1 v, T2 x){ return boost::math::cyl_neumann(v, x, Policy()); }\ |
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\ |
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template <class T>\ |
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inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type \ |
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sph_neumann(unsigned v, T x){ return boost::math::sph_neumann(v, x, Policy()); }\ |
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\ |
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template <class T>\ |
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inline typename boost::math::tools::promote_args<T>::type sin_pi(T x){ return boost::math::sin_pi(x); }\ |
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\ |
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template <class T>\ |
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inline typename boost::math::tools::promote_args<T>::type cos_pi(T x){ return boost::math::cos_pi(x); }\ |
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\ |
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using boost::math::fpclassify;\ |
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using boost::math::isfinite;\ |
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using boost::math::isinf;\ |
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using boost::math::isnan;\ |
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using boost::math::isnormal;\ |
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using boost::math::signbit;\ |
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using boost::math::sign;\ |
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using boost::math::copysign;\ |
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using boost::math::changesign;\ |
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\ |
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template <class T, class U>\ |
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inline typename boost::math::tools::promote_args<T,U>::type expint(T const& z, U const& u)\ |
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{ return boost::math::expint(z, u, Policy()); }\ |
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\ |
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template <class T>\ |
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inline typename boost::math::tools::promote_args<T>::type expint(T z){ return boost::math::expint(z, Policy()); }\ |
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\ |
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template <class T>\ |
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inline typename boost::math::tools::promote_args<T>::type zeta(T s){ return boost::math::zeta(s, Policy()); }\ |
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\ |
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template <class T>\ |
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inline T round(const T& v){ using boost::math::round; return round(v, Policy()); }\ |
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\ |
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template <class T>\ |
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inline int iround(const T& v){ using boost::math::iround; return iround(v, Policy()); }\ |
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\ |
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template <class T>\ |
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inline long lround(const T& v){ using boost::math::lround; return lround(v, Policy()); }\ |
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\ |
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template <class T>\ |
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inline T trunc(const T& v){ using boost::math::trunc; return trunc(v, Policy()); }\ |
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\ |
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template <class T>\ |
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inline int itrunc(const T& v){ using boost::math::itrunc; return itrunc(v, Policy()); }\ |
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\ |
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template <class T>\ |
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inline long ltrunc(const T& v){ using boost::math::ltrunc; return ltrunc(v, Policy()); }\ |
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\ |
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template <class T>\ |
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inline T modf(const T& v, T* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ |
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\ |
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template <class T>\ |
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inline T modf(const T& v, int* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ |
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\ |
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template <class T>\ |
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inline T modf(const T& v, long* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ |
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\ |
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template <int N, class T>\ |
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inline typename boost::math::tools::promote_args<T>::type pow(T v){ return boost::math::pow<N>(v, Policy()); }\ |
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\ |
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template <class T> T nextafter(const T& a, const T& b){ return boost::math::nextafter(a, b, Policy()); }\ |
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template <class T> T float_next(const T& a){ return boost::math::float_next(a, Policy()); }\ |
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template <class T> T float_prior(const T& a){ return boost::math::float_prior(a, Policy()); }\ |
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template <class T> T float_distance(const T& a, const T& b){ return boost::math::float_distance(a, b, Policy()); }\ |
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#endif // BOOST_MATH_SPECIAL_MATH_FWD_HPP |
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