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Diffstat (limited to 'inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/math/special_functions/math_fwd.hpp')
| -rw-r--r-- | inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/math/special_functions/math_fwd.hpp | 1597 |
1 files changed, 0 insertions, 1597 deletions
diff --git a/inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/math/special_functions/math_fwd.hpp b/inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/math/special_functions/math_fwd.hpp deleted file mode 100644 index efb8f067a..000000000 --- a/inference-engine/thirdparty/clDNN/common/boost/1.64.0/include/boost-1_64/boost/math/special_functions/math_fwd.hpp +++ /dev/null @@ -1,1597 +0,0 @@ -// math_fwd.hpp - -// TODO revise completely for new distribution classes. - -// Copyright Paul A. Bristow 2006. -// 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) - -// Omnibus list of forward declarations of math special functions. - -// IT = Integer type. -// RT = Real type (built-in floating-point types, float, double, long double) & User Defined Types -// AT = Integer or Real type - -#ifndef BOOST_MATH_SPECIAL_MATH_FWD_HPP -#define BOOST_MATH_SPECIAL_MATH_FWD_HPP - -#ifdef _MSC_VER -#pragma once -#endif - -#include <boost/math/special_functions/detail/round_fwd.hpp> -#include <boost/math/tools/promotion.hpp> // for argument promotion. -#include <boost/math/policies/policy.hpp> -#include <boost/mpl/comparison.hpp> -#include <boost/utility/enable_if.hpp> -#include <boost/config/no_tr1/complex.hpp> - -#define BOOST_NO_MACRO_EXPAND /**/ - -namespace boost -{ - namespace math - { // Math functions (in roughly alphabetic order). - - // Beta functions. - template <class RT1, class RT2> - typename tools::promote_args<RT1, RT2>::type - beta(RT1 a, RT2 b); // Beta function (2 arguments). - - template <class RT1, class RT2, class A> - typename tools::promote_args<RT1, RT2, A>::type - beta(RT1 a, RT2 b, A x); // Beta function (3 arguments). - - template <class RT1, class RT2, class RT3, class Policy> - typename tools::promote_args<RT1, RT2, RT3>::type - beta(RT1 a, RT2 b, RT3 x, const Policy& pol); // Beta function (3 arguments). - - template <class RT1, class RT2, class RT3> - typename tools::promote_args<RT1, RT2, RT3>::type - betac(RT1 a, RT2 b, RT3 x); - - template <class RT1, class RT2, class RT3, class Policy> - typename tools::promote_args<RT1, RT2, RT3>::type - betac(RT1 a, RT2 b, RT3 x, const Policy& pol); - - template <class RT1, class RT2, class RT3> - typename tools::promote_args<RT1, RT2, RT3>::type - ibeta(RT1 a, RT2 b, RT3 x); // Incomplete beta function. - - template <class RT1, class RT2, class RT3, class Policy> - typename tools::promote_args<RT1, RT2, RT3>::type - ibeta(RT1 a, RT2 b, RT3 x, const Policy& pol); // Incomplete beta function. - - template <class RT1, class RT2, class RT3> - typename tools::promote_args<RT1, RT2, RT3>::type - ibetac(RT1 a, RT2 b, RT3 x); // Incomplete beta complement function. - - template <class RT1, class RT2, class RT3, class Policy> - typename tools::promote_args<RT1, RT2, RT3>::type - ibetac(RT1 a, RT2 b, RT3 x, const Policy& pol); // Incomplete beta complement function. - - template <class T1, class T2, class T3, class T4> - typename tools::promote_args<T1, T2, T3, T4>::type - ibeta_inv(T1 a, T2 b, T3 p, T4* py); - - template <class T1, class T2, class T3, class T4, class Policy> - typename tools::promote_args<T1, T2, T3, T4>::type - ibeta_inv(T1 a, T2 b, T3 p, T4* py, const Policy& pol); - - template <class RT1, class RT2, class RT3> - typename tools::promote_args<RT1, RT2, RT3>::type - ibeta_inv(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. - - template <class RT1, class RT2, class RT3, class Policy> - typename tools::promote_args<RT1, RT2, RT3>::type - ibeta_inv(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. - - template <class RT1, class RT2, class RT3> - typename tools::promote_args<RT1, RT2, RT3>::type - ibeta_inva(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. - - template <class RT1, class RT2, class RT3, class Policy> - typename tools::promote_args<RT1, RT2, RT3>::type - ibeta_inva(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. - - template <class RT1, class RT2, class RT3> - typename tools::promote_args<RT1, RT2, RT3>::type - ibeta_invb(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. - - template <class RT1, class RT2, class RT3, class Policy> - typename tools::promote_args<RT1, RT2, RT3>::type - ibeta_invb(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. - - template <class T1, class T2, class T3, class T4> - typename tools::promote_args<T1, T2, T3, T4>::type - ibetac_inv(T1 a, T2 b, T3 q, T4* py); - - template <class T1, class T2, class T3, class T4, class Policy> - typename tools::promote_args<T1, T2, T3, T4>::type - ibetac_inv(T1 a, T2 b, T3 q, T4* py, const Policy& pol); - - template <class RT1, class RT2, class RT3> - typename tools::promote_args<RT1, RT2, RT3>::type - ibetac_inv(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. - - template <class RT1, class RT2, class RT3, class Policy> - typename tools::promote_args<RT1, RT2, RT3>::type - ibetac_inv(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. - - template <class RT1, class RT2, class RT3> - typename tools::promote_args<RT1, RT2, RT3>::type - ibetac_inva(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. - - template <class RT1, class RT2, class RT3, class Policy> - typename tools::promote_args<RT1, RT2, RT3>::type - ibetac_inva(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. - - template <class RT1, class RT2, class RT3> - typename tools::promote_args<RT1, RT2, RT3>::type - ibetac_invb(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. - - template <class RT1, class RT2, class RT3, class Policy> - typename tools::promote_args<RT1, RT2, RT3>::type - ibetac_invb(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. - - template <class RT1, class RT2, class RT3> - typename tools::promote_args<RT1, RT2, RT3>::type - ibeta_derivative(RT1 a, RT2 b, RT3 x); // derivative of incomplete beta - - template <class RT1, class RT2, class RT3, class Policy> - typename tools::promote_args<RT1, RT2, RT3>::type - ibeta_derivative(RT1 a, RT2 b, RT3 x, const Policy& pol); // derivative of incomplete beta - - // Binomial: - template <class T, class Policy> - T binomial_coefficient(unsigned n, unsigned k, const Policy& pol); - template <class T> - T binomial_coefficient(unsigned n, unsigned k); - - // erf & erfc error functions. - template <class RT> // Error function. - typename tools::promote_args<RT>::type erf(RT z); - template <class RT, class Policy> // Error function. - typename tools::promote_args<RT>::type erf(RT z, const Policy&); - - template <class RT>// Error function complement. - typename tools::promote_args<RT>::type erfc(RT z); - template <class RT, class Policy>// Error function complement. - typename tools::promote_args<RT>::type erfc(RT z, const Policy&); - - template <class RT>// Error function inverse. - typename tools::promote_args<RT>::type erf_inv(RT z); - template <class RT, class Policy>// Error function inverse. - typename tools::promote_args<RT>::type erf_inv(RT z, const Policy& pol); - - template <class RT>// Error function complement inverse. - typename tools::promote_args<RT>::type erfc_inv(RT z); - template <class RT, class Policy>// Error function complement inverse. - typename tools::promote_args<RT>::type erfc_inv(RT z, const Policy& pol); - - // Polynomials: - template <class T1, class T2, class T3> - typename tools::promote_args<T1, T2, T3>::type - legendre_next(unsigned l, T1 x, T2 Pl, T3 Plm1); - - template <class T> - typename tools::promote_args<T>::type - legendre_p(int l, T x); -#if !BOOST_WORKAROUND(BOOST_MSVC, <= 1310) - template <class T, class Policy> - typename boost::enable_if_c<policies::is_policy<Policy>::value, typename tools::promote_args<T>::type>::type - legendre_p(int l, T x, const Policy& pol); -#endif - template <class T> - typename tools::promote_args<T>::type - legendre_q(unsigned l, T x); -#if !BOOST_WORKAROUND(BOOST_MSVC, <= 1310) - template <class T, class Policy> - typename boost::enable_if_c<policies::is_policy<Policy>::value, typename tools::promote_args<T>::type>::type - legendre_q(unsigned l, T x, const Policy& pol); -#endif - template <class T1, class T2, class T3> - typename tools::promote_args<T1, T2, T3>::type - legendre_next(unsigned l, unsigned m, T1 x, T2 Pl, T3 Plm1); - - template <class T> - typename tools::promote_args<T>::type - legendre_p(int l, int m, T x); - - template <class T, class Policy> - typename tools::promote_args<T>::type - legendre_p(int l, int m, T x, const Policy& pol); - - template <class T1, class T2, class T3> - typename tools::promote_args<T1, T2, T3>::type - laguerre_next(unsigned n, T1 x, T2 Ln, T3 Lnm1); - - template <class T1, class T2, class T3> - typename tools::promote_args<T1, T2, T3>::type - laguerre_next(unsigned n, unsigned l, T1 x, T2 Pl, T3 Plm1); - - template <class T> - typename tools::promote_args<T>::type - laguerre(unsigned n, T x); - - template <class T, class Policy> - typename tools::promote_args<T>::type - laguerre(unsigned n, unsigned m, T x, const Policy& pol); - - template <class T1, class T2> - struct laguerre_result - { - typedef typename mpl::if_< - policies::is_policy<T2>, - typename tools::promote_args<T1>::type, - typename tools::promote_args<T2>::type - >::type type; - }; - - template <class T1, class T2> - typename laguerre_result<T1, T2>::type - laguerre(unsigned n, T1 m, T2 x); - - template <class T> - typename tools::promote_args<T>::type - hermite(unsigned n, T x); - - template <class T, class Policy> - typename tools::promote_args<T>::type - hermite(unsigned n, T x, const Policy& pol); - - template <class T1, class T2, class T3> - typename tools::promote_args<T1, T2, T3>::type - hermite_next(unsigned n, T1 x, T2 Hn, T3 Hnm1); - - template <class T1, class T2> - std::complex<typename tools::promote_args<T1, T2>::type> - spherical_harmonic(unsigned n, int m, T1 theta, T2 phi); - - template <class T1, class T2, class Policy> - std::complex<typename tools::promote_args<T1, T2>::type> - spherical_harmonic(unsigned n, int m, T1 theta, T2 phi, const Policy& pol); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type - spherical_harmonic_r(unsigned n, int m, T1 theta, T2 phi); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type - spherical_harmonic_r(unsigned n, int m, T1 theta, T2 phi, const Policy& pol); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type - spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type - spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi, const Policy& pol); - - // Elliptic integrals: - template <class T1, class T2, class T3> - typename tools::promote_args<T1, T2, T3>::type - ellint_rf(T1 x, T2 y, T3 z); - - template <class T1, class T2, class T3, class Policy> - typename tools::promote_args<T1, T2, T3>::type - ellint_rf(T1 x, T2 y, T3 z, const Policy& pol); - - template <class T1, class T2, class T3> - typename tools::promote_args<T1, T2, T3>::type - ellint_rd(T1 x, T2 y, T3 z); - - template <class T1, class T2, class T3, class Policy> - typename tools::promote_args<T1, T2, T3>::type - ellint_rd(T1 x, T2 y, T3 z, const Policy& pol); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type - ellint_rc(T1 x, T2 y); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type - ellint_rc(T1 x, T2 y, const Policy& pol); - - template <class T1, class T2, class T3, class T4> - typename tools::promote_args<T1, T2, T3, T4>::type - ellint_rj(T1 x, T2 y, T3 z, T4 p); - - template <class T1, class T2, class T3, class T4, class Policy> - typename tools::promote_args<T1, T2, T3, T4>::type - ellint_rj(T1 x, T2 y, T3 z, T4 p, const Policy& pol); - - template <class T1, class T2, class T3> - typename tools::promote_args<T1, T2, T3>::type - ellint_rg(T1 x, T2 y, T3 z); - - template <class T1, class T2, class T3, class Policy> - typename tools::promote_args<T1, T2, T3>::type - ellint_rg(T1 x, T2 y, T3 z, const Policy& pol); - - template <typename T> - typename tools::promote_args<T>::type ellint_2(T k); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi, const Policy& pol); - - template <typename T> - typename tools::promote_args<T>::type ellint_1(T k); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi, const Policy& pol); - - template <typename T> - typename tools::promote_args<T>::type ellint_d(T k); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi, const Policy& pol); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type jacobi_zeta(T1 k, T2 phi); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type jacobi_zeta(T1 k, T2 phi, const Policy& pol); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type heuman_lambda(T1 k, T2 phi); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type heuman_lambda(T1 k, T2 phi, const Policy& pol); - - namespace detail{ - - template <class T, class U, class V> - struct ellint_3_result - { - typedef typename mpl::if_< - policies::is_policy<V>, - typename tools::promote_args<T, U>::type, - typename tools::promote_args<T, U, V>::type - >::type type; - }; - - } // namespace detail - - - template <class T1, class T2, class T3> - typename detail::ellint_3_result<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi); - - template <class T1, class T2, class T3, class Policy> - typename tools::promote_args<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi, const Policy& pol); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type ellint_3(T1 k, T2 v); - - // Factorial functions. - // Note: not for integral types, at present. - template <class RT> - struct max_factorial; - template <class RT> - RT factorial(unsigned int); - template <class RT, class Policy> - RT factorial(unsigned int, const Policy& pol); - template <class RT> - RT unchecked_factorial(unsigned int BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(RT)); - template <class RT> - RT double_factorial(unsigned i); - template <class RT, class Policy> - RT double_factorial(unsigned i, const Policy& pol); - - template <class RT> - typename tools::promote_args<RT>::type falling_factorial(RT x, unsigned n); - - template <class RT, class Policy> - typename tools::promote_args<RT>::type falling_factorial(RT x, unsigned n, const Policy& pol); - - template <class RT> - typename tools::promote_args<RT>::type rising_factorial(RT x, int n); - - template <class RT, class Policy> - typename tools::promote_args<RT>::type rising_factorial(RT x, int n, const Policy& pol); - - // Gamma functions. - template <class RT> - typename tools::promote_args<RT>::type tgamma(RT z); - - template <class RT> - typename tools::promote_args<RT>::type tgamma1pm1(RT z); - - template <class RT, class Policy> - typename tools::promote_args<RT>::type tgamma1pm1(RT z, const Policy& pol); - - template <class RT1, class RT2> - typename tools::promote_args<RT1, RT2>::type tgamma(RT1 a, RT2 z); - - template <class RT1, class RT2, class Policy> - typename tools::promote_args<RT1, RT2>::type tgamma(RT1 a, RT2 z, const Policy& pol); - - template <class RT> - typename tools::promote_args<RT>::type lgamma(RT z, int* sign); - - template <class RT, class Policy> - typename tools::promote_args<RT>::type lgamma(RT z, int* sign, const Policy& pol); - - template <class RT> - typename tools::promote_args<RT>::type lgamma(RT x); - - template <class RT, class Policy> - typename tools::promote_args<RT>::type lgamma(RT x, const Policy& pol); - - template <class RT1, class RT2> - typename tools::promote_args<RT1, RT2>::type tgamma_lower(RT1 a, RT2 z); - - template <class RT1, class RT2, class Policy> - typename tools::promote_args<RT1, RT2>::type tgamma_lower(RT1 a, RT2 z, const Policy&); - - template <class RT1, class RT2> - typename tools::promote_args<RT1, RT2>::type gamma_q(RT1 a, RT2 z); - - template <class RT1, class RT2, class Policy> - typename tools::promote_args<RT1, RT2>::type gamma_q(RT1 a, RT2 z, const Policy&); - - template <class RT1, class RT2> - typename tools::promote_args<RT1, RT2>::type gamma_p(RT1 a, RT2 z); - - template <class RT1, class RT2, class Policy> - typename tools::promote_args<RT1, RT2>::type gamma_p(RT1 a, RT2 z, const Policy&); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type tgamma_delta_ratio(T1 z, T2 delta); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type tgamma_delta_ratio(T1 z, T2 delta, const Policy&); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type tgamma_ratio(T1 a, T2 b); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type tgamma_ratio(T1 a, T2 b, const Policy&); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type gamma_p_derivative(T1 a, T2 x); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type gamma_p_derivative(T1 a, T2 x, const Policy&); - - // gamma inverse. - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type gamma_p_inv(T1 a, T2 p); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type gamma_p_inva(T1 a, T2 p, const Policy&); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type gamma_p_inva(T1 a, T2 p); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type gamma_p_inv(T1 a, T2 p, const Policy&); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type gamma_q_inv(T1 a, T2 q); - - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type gamma_q_inv(T1 a, T2 q, const Policy&); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type gamma_q_inva(T1 a, T2 q); - - 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&); - - // trigamma: - template <class T> - typename tools::promote_args<T>::type trigamma(T x); - - template <class T, class Policy> - typename tools::promote_args<T>::type trigamma(T x, const Policy&); - - // polygamma: - template <class T> - typename tools::promote_args<T>::type polygamma(int n, T x); - - template <class T, class Policy> - typename tools::promote_args<T>::type polygamma(int n, 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 mpl::if_< - is_integral<T1>, - typename tools::promote_args<T2>::type, - typename tools::promote_args<T1, T2>::type - >::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; - typedef typename mpl::if_< - mpl::or_< - mpl::less_equal<precision_type, mpl::int_<0> >, - mpl::greater<precision_type, mpl::int_<113> > >, - bessel_no_int_tag, - typename mpl::if_< - is_integral<T1>, - bessel_int_tag, - bessel_maybe_int_tag - >::type - >::type optimisation_tag128; - }; - } // 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, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_j_prime(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 T1, class T2> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_j_prime(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, class Policy> - typename detail::bessel_traits<T, T, Policy>::result_type sph_bessel_prime(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 T> - typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_bessel_prime(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, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_i_prime(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> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_i_prime(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, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_k_prime(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> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_k_prime(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, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_neumann_prime(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 T1, class T2> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_neumann_prime(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, class Policy> - typename detail::bessel_traits<T, T, Policy>::result_type sph_neumann_prime(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> - typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_neumann_prime(unsigned v, T x); - - template <class T, class Policy> - typename detail::bessel_traits<T, T, Policy>::result_type cyl_bessel_j_zero(T v, int m, const Policy& pol); - - template <class T> - typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_bessel_j_zero(T v, int m); - - template <class T, class OutputIterator> - OutputIterator cyl_bessel_j_zero(T v, - int start_index, - unsigned number_of_zeros, - OutputIterator out_it); - - template <class T, class OutputIterator, class Policy> - OutputIterator cyl_bessel_j_zero(T v, - int start_index, - unsigned number_of_zeros, - OutputIterator out_it, - const Policy&); - - template <class T, class Policy> - typename detail::bessel_traits<T, T, Policy>::result_type cyl_neumann_zero(T v, int m, const Policy& pol); - - template <class T> - typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_neumann_zero(T v, int m); - - template <class T, class OutputIterator> - OutputIterator cyl_neumann_zero(T v, - int start_index, - unsigned number_of_zeros, - OutputIterator out_it); - - template <class T, class OutputIterator, class Policy> - OutputIterator cyl_neumann_zero(T v, - int start_index, - unsigned number_of_zeros, - OutputIterator out_it, - const Policy&); - - template <class T1, class T2> - std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_1(T1 v, T2 x); - - template <class T1, class T2, class Policy> - std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_1(T1 v, T2 x, const Policy& pol); - - template <class T1, class T2, class Policy> - std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_2(T1 v, T2 x, const Policy& pol); - - template <class T1, class T2> - std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_2(T1 v, T2 x); - - template <class T1, class T2, class Policy> - std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_1(T1 v, T2 x, const Policy& pol); - - template <class T1, class T2> - std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_1(T1 v, T2 x); - - template <class T1, class T2, class Policy> - std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_2(T1 v, T2 x, const Policy& pol); - - template <class T1, class T2> - std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_2(T1 v, T2 x); - - template <class T, class Policy> - typename tools::promote_args<T>::type airy_ai(T x, const Policy&); - - template <class T> - typename tools::promote_args<T>::type airy_ai(T x); - - template <class T, class Policy> - typename tools::promote_args<T>::type airy_bi(T x, const Policy&); - - template <class T> - typename tools::promote_args<T>::type airy_bi(T x); - - template <class T, class Policy> - typename tools::promote_args<T>::type airy_ai_prime(T x, const Policy&); - - template <class T> - typename tools::promote_args<T>::type airy_ai_prime(T x); - - template <class T, class Policy> - typename tools::promote_args<T>::type airy_bi_prime(T x, const Policy&); - - template <class T> - typename tools::promote_args<T>::type airy_bi_prime(T x); - - template <class T> - T airy_ai_zero(int m); - template <class T, class Policy> - T airy_ai_zero(int m, const Policy&); - - template <class OutputIterator> - OutputIterator airy_ai_zero( - int start_index, - unsigned number_of_zeros, - OutputIterator out_it); - template <class OutputIterator, class Policy> - OutputIterator airy_ai_zero( - int start_index, - unsigned number_of_zeros, - OutputIterator out_it, - const Policy&); - - template <class T> - T airy_bi_zero(int m); - template <class T, class Policy> - T airy_bi_zero(int m, const Policy&); - - template <class OutputIterator> - OutputIterator airy_bi_zero( - int start_index, - unsigned number_of_zeros, - OutputIterator out_it); - template <class OutputIterator, class Policy> - OutputIterator airy_bi_zero( - int start_index, - unsigned number_of_zeros, - OutputIterator out_it, - const Policy&); - - 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, class U> - typename tools::promote_args_permissive<T, U>::type copysign BOOST_NO_MACRO_EXPAND(const T& x, const U& y); - - template <class T> - typename tools::promote_args_permissive<T>::type 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&); - - // Owen's T function: - template <class T1, class T2, class Policy> - typename tools::promote_args<T1, T2>::type owens_t(T1 h, T2 a, const Policy& pol); - - template <class T1, class T2> - typename tools::promote_args<T1, T2>::type owens_t(T1 h, T2 a); - - // Jacobi Functions: - template <class T, class U, class V, class Policy> - typename tools::promote_args<T, U, V>::type jacobi_elliptic(T k, U theta, V* pcn, V* pdn, const Policy&); - - template <class T, class U, class V> - typename tools::promote_args<T, U, V>::type jacobi_elliptic(T k, U theta, V* pcn = 0, V* pdn = 0); - - template <class U, class T, class Policy> - typename tools::promote_args<T, U>::type jacobi_sn(U k, T theta, const Policy& pol); - - template <class U, class T> - typename tools::promote_args<T, U>::type jacobi_sn(U k, T theta); - - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type jacobi_cn(T k, U theta, const Policy& pol); - - template <class T, class U> - typename tools::promote_args<T, U>::type jacobi_cn(T k, U theta); - - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type jacobi_dn(T k, U theta, const Policy& pol); - - template <class T, class U> - typename tools::promote_args<T, U>::type jacobi_dn(T k, U theta); - - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type jacobi_cd(T k, U theta, const Policy& pol); - - template <class T, class U> - typename tools::promote_args<T, U>::type jacobi_cd(T k, U theta); - - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type jacobi_dc(T k, U theta, const Policy& pol); - - template <class T, class U> - typename tools::promote_args<T, U>::type jacobi_dc(T k, U theta); - - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type jacobi_ns(T k, U theta, const Policy& pol); - - template <class T, class U> - typename tools::promote_args<T, U>::type jacobi_ns(T k, U theta); - - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type jacobi_sd(T k, U theta, const Policy& pol); - - template <class T, class U> - typename tools::promote_args<T, U>::type jacobi_sd(T k, U theta); - - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type jacobi_ds(T k, U theta, const Policy& pol); - - template <class T, class U> - typename tools::promote_args<T, U>::type jacobi_ds(T k, U theta); - - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type jacobi_nc(T k, U theta, const Policy& pol); - - template <class T, class U> - typename tools::promote_args<T, U>::type jacobi_nc(T k, U theta); - - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type jacobi_nd(T k, U theta, const Policy& pol); - - template <class T, class U> - typename tools::promote_args<T, U>::type jacobi_nd(T k, U theta); - - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type jacobi_sc(T k, U theta, const Policy& pol); - - template <class T, class U> - typename tools::promote_args<T, U>::type jacobi_sc(T k, U theta); - - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type jacobi_cs(T k, U theta, const Policy& pol); - - template <class T, class U> - typename tools::promote_args<T, U>::type jacobi_cs(T k, U theta); - - - 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 U, class Policy> - typename tools::promote_args<T, U>::type nextafter(const T&, const U&, const Policy&); - template <class T, class U> - typename tools::promote_args<T, U>::type nextafter(const T&, const U&); - template <class T, class Policy> - typename tools::promote_args<T>::type float_next(const T&, const Policy&); - template <class T> - typename tools::promote_args<T>::type float_next(const T&); - template <class T, class Policy> - typename tools::promote_args<T>::type float_prior(const T&, const Policy&); - template <class T> - typename tools::promote_args<T>::type float_prior(const T&); - template <class T, class U, class Policy> - typename tools::promote_args<T, U>::type float_distance(const T&, const U&, const Policy&); - template <class T, class U> - typename tools::promote_args<T, U>::type float_distance(const T&, const U&); - template <class T, class Policy> - typename tools::promote_args<T>::type float_advance(T val, int distance, const Policy& pol); - template <class T> - typename tools::promote_args<T>::type float_advance(const T& val, int distance); - - template <class T, class Policy> - typename tools::promote_args<T>::type ulp(const T& val, const Policy& pol); - template <class T> - typename tools::promote_args<T>::type ulp(const T& val); - - template <class T, class U> - typename tools::promote_args<T, U>::type relative_difference(const T&, const U&); - template <class T, class U> - typename tools::promote_args<T, U>::type epsilon_difference(const T&, const U&); - - template<class T> - T unchecked_bernoulli_b2n(const std::size_t n); - template <class T, class Policy> - T bernoulli_b2n(const int i, const Policy &pol); - template <class T> - T bernoulli_b2n(const int i); - template <class T, class OutputIterator, class Policy> - OutputIterator bernoulli_b2n(const int start_index, - const unsigned number_of_bernoullis_b2n, - OutputIterator out_it, - const Policy& pol); - template <class T, class OutputIterator> - OutputIterator bernoulli_b2n(const int start_index, - const unsigned number_of_bernoullis_b2n, - OutputIterator out_it); - template <class T, class Policy> - T tangent_t2n(const int i, const Policy &pol); - template <class T> - T tangent_t2n(const int i); - template <class T, class OutputIterator, class Policy> - OutputIterator tangent_t2n(const int start_index, - const unsigned number_of_bernoullis_b2n, - OutputIterator out_it, - const Policy& pol); - template <class T, class OutputIterator> - OutputIterator tangent_t2n(const int start_index, - const unsigned number_of_bernoullis_b2n, - OutputIterator out_it); - - } // 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 T> T binomial_coefficient(unsigned n, unsigned k){ return ::boost::math::binomial_coefficient<T, Policy>(n, k, 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 <class T1, class T2, class T3>\ - inline typename boost::math::tools::promote_args<T1, T2, T3>::type \ - ellint_rg(T1 x, T2 y, T3 z){ return ::boost::math::ellint_rg(x, y, z, 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_d(T k){ return boost::math::ellint_d(k, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi){ return boost::math::ellint_d(k, phi, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::tools::promote_args<T1, T2>::type jacobi_zeta(T1 k, T2 phi){ return boost::math::jacobi_zeta(k, phi, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::tools::promote_args<T1, T2>::type heuman_lambda(T1 k, T2 phi){ return boost::math::heuman_lambda(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()); }\ -\ - template <class RT>\ - inline typename boost::math::tools::promote_args<RT>::type lgamma(RT z, int* sign){ return boost::math::lgamma(z, sign, Policy()); }\ -\ - template <class RT>\ - inline typename boost::math::tools::promote_args<RT>::type lgamma(RT x){ return boost::math::lgamma(x, Policy()); }\ -\ - template <class RT1, class RT2>\ - inline typename boost::math::tools::promote_args<RT1, RT2>::type tgamma_lower(RT1 a, RT2 z){ return boost::math::tgamma_lower(a, z, Policy()); }\ -\ - template <class RT1, class RT2>\ - inline typename boost::math::tools::promote_args<RT1, RT2>::type gamma_q(RT1 a, RT2 z){ return boost::math::gamma_q(a, z, Policy()); }\ -\ - template <class RT1, class RT2>\ - inline typename boost::math::tools::promote_args<RT1, RT2>::type gamma_p(RT1 a, RT2 z){ return boost::math::gamma_p(a, z, Policy()); }\ -\ - template <class T1, class T2>\ - 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()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::tools::promote_args<T1, T2>::type tgamma_ratio(T1 a, T2 b) { return boost::math::tgamma_ratio(a, b, Policy()); }\ -\ - template <class T1, class T2>\ - 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()); }\ -\ - template <class T1, class T2>\ - 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()); }\ -\ - template <class T1, class T2>\ - 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()); }\ -\ - template <class T1, class T2>\ - 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()); }\ -\ - template <class T1, class T2>\ - 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()); }\ -\ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type digamma(T x){ return boost::math::digamma(x, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type trigamma(T x){ return boost::math::trigamma(x, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type polygamma(int n, T x){ return boost::math::polygamma(n, x, Policy()); }\ - \ - template <class T1, class T2>\ - inline typename boost::math::tools::promote_args<T1, T2>::type \ - hypot(T1 x, T2 y){ return boost::math::hypot(x, y, Policy()); }\ -\ - template <class RT>\ - inline typename boost::math::tools::promote_args<RT>::type cbrt(RT z){ return boost::math::cbrt(z, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type log1p(T x){ return boost::math::log1p(x, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type log1pmx(T x){ return boost::math::log1pmx(x, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type expm1(T x){ return boost::math::expm1(x, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::tools::promote_args<T1, T2>::type \ - powm1(const T1 a, const T2 z){ return boost::math::powm1(a, z, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type sqrt1pm1(const T& val){ return boost::math::sqrt1pm1(val, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type sinc_pi(T x){ return boost::math::sinc_pi(x, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type sinhc_pi(T x){ return boost::math::sinhc_pi(x, Policy()); }\ -\ - template<typename T>\ - inline typename boost::math::tools::promote_args<T>::type asinh(const T x){ return boost::math::asinh(x, Policy()); }\ -\ - template<typename T>\ - inline typename boost::math::tools::promote_args<T>::type acosh(const T x){ return boost::math::acosh(x, Policy()); }\ -\ - template<typename T>\ - inline typename boost::math::tools::promote_args<T>::type atanh(const T x){ return boost::math::atanh(x, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type cyl_bessel_j(T1 v, T2 x)\ - { return boost::math::cyl_bessel_j(v, x, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type cyl_bessel_j_prime(T1 v, T2 x)\ - { return boost::math::cyl_bessel_j_prime(v, x, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type sph_bessel(unsigned v, T x)\ - { return boost::math::sph_bessel(v, x, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type sph_bessel_prime(unsigned v, T x)\ - { return boost::math::sph_bessel_prime(v, x, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ - cyl_bessel_i(T1 v, T2 x) { return boost::math::cyl_bessel_i(v, x, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ - cyl_bessel_i_prime(T1 v, T2 x) { return boost::math::cyl_bessel_i_prime(v, x, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ - cyl_bessel_k(T1 v, T2 x) { return boost::math::cyl_bessel_k(v, x, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ - cyl_bessel_k_prime(T1 v, T2 x) { return boost::math::cyl_bessel_k_prime(v, x, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ - cyl_neumann(T1 v, T2 x){ return boost::math::cyl_neumann(v, x, Policy()); }\ -\ - template <class T1, class T2>\ - inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ - cyl_neumann_prime(T1 v, T2 x){ return boost::math::cyl_neumann_prime(v, x, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type \ - sph_neumann(unsigned v, T x){ return boost::math::sph_neumann(v, x, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type \ - sph_neumann_prime(unsigned v, T x){ return boost::math::sph_neumann_prime(v, x, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type cyl_bessel_j_zero(T v, int m)\ - { return boost::math::cyl_bessel_j_zero(v, m, Policy()); }\ -\ -template <class OutputIterator, class T>\ - inline void cyl_bessel_j_zero(T v,\ - int start_index,\ - unsigned number_of_zeros,\ - OutputIterator out_it)\ - { boost::math::cyl_bessel_j_zero(v, start_index, number_of_zeros, out_it, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type cyl_neumann_zero(T v, int m)\ - { return boost::math::cyl_neumann_zero(v, m, Policy()); }\ -\ -template <class OutputIterator, class T>\ - inline void cyl_neumann_zero(T v,\ - int start_index,\ - unsigned number_of_zeros,\ - OutputIterator out_it)\ - { boost::math::cyl_neumann_zero(v, start_index, number_of_zeros, out_it, Policy()); }\ -\ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type sin_pi(T x){ return boost::math::sin_pi(x); }\ -\ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type cos_pi(T x){ return boost::math::cos_pi(x); }\ -\ - using boost::math::fpclassify;\ - using boost::math::isfinite;\ - using boost::math::isinf;\ - using boost::math::isnan;\ - using boost::math::isnormal;\ - using boost::math::signbit;\ - using boost::math::sign;\ - using boost::math::copysign;\ - using boost::math::changesign;\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T,U>::type expint(T const& z, U const& u)\ - { return boost::math::expint(z, u, Policy()); }\ - \ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type expint(T z){ return boost::math::expint(z, Policy()); }\ - \ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type zeta(T s){ return boost::math::zeta(s, Policy()); }\ - \ - template <class T>\ - inline T round(const T& v){ using boost::math::round; return round(v, Policy()); }\ - \ - template <class T>\ - inline int iround(const T& v){ using boost::math::iround; return iround(v, Policy()); }\ - \ - template <class T>\ - inline long lround(const T& v){ using boost::math::lround; return lround(v, Policy()); }\ - \ - template <class T>\ - inline T trunc(const T& v){ using boost::math::trunc; return trunc(v, Policy()); }\ - \ - template <class T>\ - inline int itrunc(const T& v){ using boost::math::itrunc; return itrunc(v, Policy()); }\ - \ - template <class T>\ - inline long ltrunc(const T& v){ using boost::math::ltrunc; return ltrunc(v, Policy()); }\ - \ - template <class T>\ - inline T modf(const T& v, T* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ - \ - template <class T>\ - inline T modf(const T& v, int* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ - \ - template <class T>\ - inline T modf(const T& v, long* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ - \ - template <int N, class T>\ - inline typename boost::math::tools::promote_args<T>::type pow(T v){ return boost::math::pow<N>(v, Policy()); }\ - \ - template <class T> T nextafter(const T& a, const T& b){ return boost::math::nextafter(a, b, Policy()); }\ - template <class T> T float_next(const T& a){ return boost::math::float_next(a, Policy()); }\ - template <class T> T float_prior(const T& a){ return boost::math::float_prior(a, Policy()); }\ - template <class T> T float_distance(const T& a, const T& b){ return boost::math::float_distance(a, b, Policy()); }\ - template <class T> T ulp(const T& a){ return boost::math::ulp(a, Policy()); }\ - \ - template <class RT1, class RT2>\ - inline typename boost::math::tools::promote_args<RT1, RT2>::type owens_t(RT1 a, RT2 z){ return boost::math::owens_t(a, z, Policy()); }\ - \ - template <class T1, class T2>\ - inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> cyl_hankel_1(T1 v, T2 x)\ - { return boost::math::cyl_hankel_1(v, x, Policy()); }\ - \ - template <class T1, class T2>\ - inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> cyl_hankel_2(T1 v, T2 x)\ - { return boost::math::cyl_hankel_2(v, x, Policy()); }\ - \ - template <class T1, class T2>\ - inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> sph_hankel_1(T1 v, T2 x)\ - { return boost::math::sph_hankel_1(v, x, Policy()); }\ - \ - template <class T1, class T2>\ - inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> sph_hankel_2(T1 v, T2 x)\ - { return boost::math::sph_hankel_2(v, x, Policy()); }\ - \ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type jacobi_elliptic(T k, T theta, T* pcn, T* pdn)\ - { return boost::math::jacobi_elliptic(k, theta, pcn, pdn, Policy()); }\ - \ - template <class U, class T>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_sn(U k, T theta)\ - { return boost::math::jacobi_sn(k, theta, Policy()); }\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_cn(T k, U theta)\ - { return boost::math::jacobi_cn(k, theta, Policy()); }\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_dn(T k, U theta)\ - { return boost::math::jacobi_dn(k, theta, Policy()); }\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_cd(T k, U theta)\ - { return boost::math::jacobi_cd(k, theta, Policy()); }\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_dc(T k, U theta)\ - { return boost::math::jacobi_dc(k, theta, Policy()); }\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_ns(T k, U theta)\ - { return boost::math::jacobi_ns(k, theta, Policy()); }\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_sd(T k, U theta)\ - { return boost::math::jacobi_sd(k, theta, Policy()); }\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_ds(T k, U theta)\ - { return boost::math::jacobi_ds(k, theta, Policy()); }\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_nc(T k, U theta)\ - { return boost::math::jacobi_nc(k, theta, Policy()); }\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_nd(T k, U theta)\ - { return boost::math::jacobi_nd(k, theta, Policy()); }\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_sc(T k, U theta)\ - { return boost::math::jacobi_sc(k, theta, Policy()); }\ - \ - template <class T, class U>\ - inline typename boost::math::tools::promote_args<T, U>::type jacobi_cs(T k, U theta)\ - { return boost::math::jacobi_cs(k, theta, Policy()); }\ - \ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type airy_ai(T x)\ - { return boost::math::airy_ai(x, Policy()); }\ - \ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type airy_bi(T x)\ - { return boost::math::airy_bi(x, Policy()); }\ - \ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type airy_ai_prime(T x)\ - { return boost::math::airy_ai_prime(x, Policy()); }\ - \ - template <class T>\ - inline typename boost::math::tools::promote_args<T>::type airy_bi_prime(T x)\ - { return boost::math::airy_bi_prime(x, Policy()); }\ - \ - template <class T>\ - inline T airy_ai_zero(int m)\ - { return boost::math::airy_ai_zero<T>(m, Policy()); }\ - template <class T, class OutputIterator>\ - OutputIterator airy_ai_zero(int start_index, unsigned number_of_zeros, OutputIterator out_it)\ - { return boost::math::airy_ai_zero<T>(start_index, number_of_zeros, out_it, Policy()); }\ - \ - template <class T>\ - inline T airy_bi_zero(int m)\ - { return boost::math::airy_bi_zero<T>(m, Policy()); }\ - template <class T, class OutputIterator>\ - OutputIterator airy_bi_zero(int start_index, unsigned number_of_zeros, OutputIterator out_it)\ - { return boost::math::airy_bi_zero<T>(start_index, number_of_zeros, out_it, Policy()); }\ - \ - template <class T>\ - T bernoulli_b2n(const int i)\ - { return boost::math::bernoulli_b2n<T>(i, Policy()); }\ - template <class T, class OutputIterator>\ - OutputIterator bernoulli_b2n(int start_index, unsigned number_of_bernoullis_b2n, OutputIterator out_it)\ - { return boost::math::bernoulli_b2n<T>(start_index, number_of_bernoullis_b2n, out_it, Policy()); }\ - \ - template <class T>\ - T tangent_t2n(const int i)\ - { return boost::math::tangent_t2n<T>(i, Policy()); }\ - template <class T, class OutputIterator>\ - OutputIterator tangent_t2n(int start_index, unsigned number_of_bernoullis_b2n, OutputIterator out_it)\ - { return boost::math::tangent_t2n<T>(start_index, number_of_bernoullis_b2n, out_it, Policy()); }\ - \ - - - - - -#endif // BOOST_MATH_SPECIAL_MATH_FWD_HPP - - |