diff --git a/ndnboost/math/special_functions/math_fwd.hpp b/ndnboost/math/special_functions/math_fwd.hpp
new file mode 100644
index 0000000..aeb7b4c
--- /dev/null
+++ b/ndnboost/math/special_functions/math_fwd.hpp
@@ -0,0 +1,1408 @@
+// 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 <ndnboost/math/special_functions/detail/round_fwd.hpp>
+#include <ndnboost/math/tools/promotion.hpp> // for argument promotion.
+#include <ndnboost/math/policies/policy.hpp>
+#include <ndnboost/mpl/comparison.hpp>
+#include <ndnboost/config/no_tr1/complex.hpp>
+
+#define BOOST_NO_MACRO_EXPAND /**/
+
+namespace ndnboost
+{
+   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
+
+   // 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);
+
+   template <class T, class Policy>
+   typename tools::promote_args<T>::type
+         legendre_p(int l, T x, const Policy& pol);
+
+   template <class T>
+   typename tools::promote_args<T>::type
+         legendre_q(unsigned l, T x);
+
+   template <class T, class Policy>
+   typename tools::promote_args<T>::type
+         legendre_q(unsigned l, T x, const Policy& pol);
+
+   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 <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);
+
+   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&);
+
+   // 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 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(unsigned m);
+   template <class T, class Policy>
+   T airy_ai_zero(unsigned m, const Policy&);
+
+   template <class OutputIterator>
+   OutputIterator airy_ai_zero(
+                     unsigned start_index,
+                     unsigned number_of_zeros,
+                     OutputIterator out_it);
+   template <class OutputIterator, class Policy>
+   OutputIterator airy_ai_zero(
+                     unsigned start_index,
+                     unsigned number_of_zeros,
+                     OutputIterator out_it,
+                     const Policy&);
+
+   template <class T>
+   T airy_bi_zero(unsigned m);
+   template <class T, class Policy>
+   T airy_bi_zero(unsigned m, const Policy&);
+
+   template <class OutputIterator>
+   OutputIterator airy_bi_zero(
+                     unsigned start_index,
+                     unsigned number_of_zeros,
+                     OutputIterator out_it);
+   template <class OutputIterator, class Policy>
+   OutputIterator airy_bi_zero(
+                     unsigned 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<T, U>::type copysign BOOST_NO_MACRO_EXPAND(const T& x, const U& y);
+
+   template <class T>
+   typename tools::promote_args<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);
+
+    } // namespace math
+} // namespace ndnboost
+
+#ifdef BOOST_HAS_LONG_LONG
+#define BOOST_MATH_DETAIL_LL_FUNC(Policy)\
+   \
+   template <class T>\
+   inline T modf(const T& v, ndnboost::long_long_type* ipart){ using ndnboost::math::modf; return modf(v, ipart, Policy()); }\
+   \
+   template <class T>\
+   inline ndnboost::long_long_type lltrunc(const T& v){ using ndnboost::math::lltrunc; return lltrunc(v, Policy()); }\
+   \
+   template <class T>\
+   inline ndnboost::long_long_type llround(const T& v){ using ndnboost::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 ndnboost::math::tools::promote_args<RT1, RT2>::type \
+   beta(RT1 a, RT2 b) { return ::ndnboost::math::beta(a, b, Policy()); }\
+\
+   template <class RT1, class RT2, class A>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2, A>::type \
+   beta(RT1 a, RT2 b, A x){ return ::ndnboost::math::beta(a, b, x, Policy()); }\
+\
+   template <class RT1, class RT2, class RT3>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2, RT3>::type \
+   betac(RT1 a, RT2 b, RT3 x) { return ::ndnboost::math::betac(a, b, x, Policy()); }\
+\
+   template <class RT1, class RT2, class RT3>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2, RT3>::type \
+   ibeta(RT1 a, RT2 b, RT3 x){ return ::ndnboost::math::ibeta(a, b, x, Policy()); }\
+\
+   template <class RT1, class RT2, class RT3>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2, RT3>::type \
+   ibetac(RT1 a, RT2 b, RT3 x){ return ::ndnboost::math::ibetac(a, b, x, Policy()); }\
+\
+   template <class T1, class T2, class T3, class T4>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2, T3, T4>::type  \
+   ibeta_inv(T1 a, T2 b, T3 p, T4* py){ return ::ndnboost::math::ibeta_inv(a, b, p, py, Policy()); }\
+\
+   template <class RT1, class RT2, class RT3>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2, RT3>::type \
+   ibeta_inv(RT1 a, RT2 b, RT3 p){ return ::ndnboost::math::ibeta_inv(a, b, p, Policy()); }\
+\
+   template <class T1, class T2, class T3, class T4>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2, T3, T4>::type \
+   ibetac_inv(T1 a, T2 b, T3 q, T4* py){ return ::ndnboost::math::ibetac_inv(a, b, q, py, Policy()); }\
+\
+   template <class RT1, class RT2, class RT3>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2, RT3>::type \
+   ibeta_inva(RT1 a, RT2 b, RT3 p){ return ::ndnboost::math::ibeta_inva(a, b, p, Policy()); }\
+\
+   template <class T1, class T2, class T3>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2, T3>::type \
+   ibetac_inva(T1 a, T2 b, T3 q){ return ::ndnboost::math::ibetac_inva(a, b, q, Policy()); }\
+\
+   template <class RT1, class RT2, class RT3>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2, RT3>::type \
+   ibeta_invb(RT1 a, RT2 b, RT3 p){ return ::ndnboost::math::ibeta_invb(a, b, p, Policy()); }\
+\
+   template <class T1, class T2, class T3>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2, T3>::type \
+   ibetac_invb(T1 a, T2 b, T3 q){ return ::ndnboost::math::ibetac_invb(a, b, q, Policy()); }\
+\
+   template <class RT1, class RT2, class RT3>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2, RT3>::type \
+   ibetac_inv(RT1 a, RT2 b, RT3 q){ return ::ndnboost::math::ibetac_inv(a, b, q, Policy()); }\
+\
+   template <class RT1, class RT2, class RT3>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2, RT3>::type \
+   ibeta_derivative(RT1 a, RT2 b, RT3 x){ return ::ndnboost::math::ibeta_derivative(a, b, x, Policy()); }\
+\
+   template <class RT>\
+   inline typename ndnboost::math::tools::promote_args<RT>::type erf(RT z) { return ::ndnboost::math::erf(z, Policy()); }\
+\
+   template <class RT>\
+   inline typename ndnboost::math::tools::promote_args<RT>::type erfc(RT z){ return ::ndnboost::math::erfc(z, Policy()); }\
+\
+   template <class RT>\
+   inline typename ndnboost::math::tools::promote_args<RT>::type erf_inv(RT z) { return ::ndnboost::math::erf_inv(z, Policy()); }\
+\
+   template <class RT>\
+   inline typename ndnboost::math::tools::promote_args<RT>::type erfc_inv(RT z){ return ::ndnboost::math::erfc_inv(z, Policy()); }\
+\
+   using ndnboost::math::legendre_next;\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type \
+   legendre_p(int l, T x){ return ::ndnboost::math::legendre_p(l, x, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type \
+   legendre_q(unsigned l, T x){ return ::ndnboost::math::legendre_q(l, x, Policy()); }\
+\
+   using ::ndnboost::math::legendre_next;\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type \
+   legendre_p(int l, int m, T x){ return ::ndnboost::math::legendre_p(l, m, x, Policy()); }\
+\
+   using ::ndnboost::math::laguerre_next;\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type \
+   laguerre(unsigned n, T x){ return ::ndnboost::math::laguerre(n, x, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::laguerre_result<T1, T2>::type \
+   laguerre(unsigned n, T1 m, T2 x) { return ::ndnboost::math::laguerre(n, m, x, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type \
+   hermite(unsigned n, T x){ return ::ndnboost::math::hermite(n, x, Policy()); }\
+\
+   using ndnboost::math::hermite_next;\
+\
+   template <class T1, class T2>\
+   inline std::complex<typename ndnboost::math::tools::promote_args<T1, T2>::type> \
+   spherical_harmonic(unsigned n, int m, T1 theta, T2 phi){ return ndnboost::math::spherical_harmonic(n, m, theta, phi, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type \
+   spherical_harmonic_r(unsigned n, int m, T1 theta, T2 phi){ return ::ndnboost::math::spherical_harmonic_r(n, m, theta, phi, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type \
+   spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi){ return ndnboost::math::spherical_harmonic_i(n, m, theta, phi, Policy()); }\
+\
+   template <class T1, class T2, class Policy>\
+   inline typename ndnboost::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 ndnboost::math::tools::promote_args<T1, T2, T3>::type \
+   ellint_rf(T1 x, T2 y, T3 z){ return ::ndnboost::math::ellint_rf(x, y, z, Policy()); }\
+\
+   template <class T1, class T2, class T3>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2, T3>::type \
+   ellint_rd(T1 x, T2 y, T3 z){ return ::ndnboost::math::ellint_rd(x, y, z, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type \
+   ellint_rc(T1 x, T2 y){ return ::ndnboost::math::ellint_rc(x, y, Policy()); }\
+\
+   template <class T1, class T2, class T3, class T4>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2, T3, T4>::type \
+   ellint_rj(T1 x, T2 y, T3 z, T4 p){ return ndnboost::math::ellint_rj(x, y, z, p, Policy()); }\
+\
+   template <typename T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type ellint_2(T k){ return ndnboost::math::ellint_2(k, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi){ return ndnboost::math::ellint_2(k, phi, Policy()); }\
+\
+   template <typename T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type ellint_1(T k){ return ndnboost::math::ellint_1(k, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi){ return ndnboost::math::ellint_1(k, phi, Policy()); }\
+\
+   template <class T1, class T2, class T3>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi){ return ndnboost::math::ellint_3(k, v, phi, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type ellint_3(T1 k, T2 v){ return ndnboost::math::ellint_3(k, v, Policy()); }\
+\
+   using ndnboost::math::max_factorial;\
+   template <class RT>\
+   inline RT factorial(unsigned int i) { return ndnboost::math::factorial<RT>(i, Policy()); }\
+   using ndnboost::math::unchecked_factorial;\
+   template <class RT>\
+   inline RT double_factorial(unsigned i){ return ndnboost::math::double_factorial<RT>(i, Policy()); }\
+   template <class RT>\
+   inline typename ndnboost::math::tools::promote_args<RT>::type falling_factorial(RT x, unsigned n){ return ndnboost::math::falling_factorial(x, n, Policy()); }\
+   template <class RT>\
+   inline typename ndnboost::math::tools::promote_args<RT>::type rising_factorial(RT x, unsigned n){ return ndnboost::math::rising_factorial(x, n, Policy()); }\
+\
+   template <class RT>\
+   inline typename ndnboost::math::tools::promote_args<RT>::type tgamma(RT z){ return ndnboost::math::tgamma(z, Policy()); }\
+\
+   template <class RT>\
+   inline typename ndnboost::math::tools::promote_args<RT>::type tgamma1pm1(RT z){ return ndnboost::math::tgamma1pm1(z, Policy()); }\
+\
+   template <class RT1, class RT2>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2>::type tgamma(RT1 a, RT2 z){ return ndnboost::math::tgamma(a, z, Policy()); }\
+\
+   template <class RT>\
+   inline typename ndnboost::math::tools::promote_args<RT>::type lgamma(RT z, int* sign){ return ndnboost::math::lgamma(z, sign, Policy()); }\
+\
+   template <class RT>\
+   inline typename ndnboost::math::tools::promote_args<RT>::type lgamma(RT x){ return ndnboost::math::lgamma(x, Policy()); }\
+\
+   template <class RT1, class RT2>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2>::type tgamma_lower(RT1 a, RT2 z){ return ndnboost::math::tgamma_lower(a, z, Policy()); }\
+\
+   template <class RT1, class RT2>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2>::type gamma_q(RT1 a, RT2 z){ return ndnboost::math::gamma_q(a, z, Policy()); }\
+\
+   template <class RT1, class RT2>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2>::type gamma_p(RT1 a, RT2 z){ return ndnboost::math::gamma_p(a, z, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type tgamma_delta_ratio(T1 z, T2 delta){ return ndnboost::math::tgamma_delta_ratio(z, delta, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type tgamma_ratio(T1 a, T2 b) { return ndnboost::math::tgamma_ratio(a, b, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type gamma_p_derivative(T1 a, T2 x){ return ndnboost::math::gamma_p_derivative(a, x, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type gamma_p_inv(T1 a, T2 p){ return ndnboost::math::gamma_p_inv(a, p, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type gamma_p_inva(T1 a, T2 p){ return ndnboost::math::gamma_p_inva(a, p, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type gamma_q_inv(T1 a, T2 q){ return ndnboost::math::gamma_q_inv(a, q, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type gamma_q_inva(T1 a, T2 q){ return ndnboost::math::gamma_q_inva(a, q, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type digamma(T x){ return ndnboost::math::digamma(x, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type \
+   hypot(T1 x, T2 y){ return ndnboost::math::hypot(x, y, Policy()); }\
+\
+   template <class RT>\
+   inline typename ndnboost::math::tools::promote_args<RT>::type cbrt(RT z){ return ndnboost::math::cbrt(z, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type log1p(T x){ return ndnboost::math::log1p(x, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type log1pmx(T x){ return ndnboost::math::log1pmx(x, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type expm1(T x){ return ndnboost::math::expm1(x, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::tools::promote_args<T1, T2>::type \
+   powm1(const T1 a, const T2 z){ return ndnboost::math::powm1(a, z, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type sqrt1pm1(const T& val){ return ndnboost::math::sqrt1pm1(val, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type sinc_pi(T x){ return ndnboost::math::sinc_pi(x, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type sinhc_pi(T x){ return ndnboost::math::sinhc_pi(x, Policy()); }\
+\
+   template<typename T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type asinh(const T x){ return ndnboost::math::asinh(x, Policy()); }\
+\
+   template<typename T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type acosh(const T x){ return ndnboost::math::acosh(x, Policy()); }\
+\
+   template<typename T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type atanh(const T x){ return ndnboost::math::atanh(x, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::detail::bessel_traits<T1, T2, Policy >::result_type cyl_bessel_j(T1 v, T2 x)\
+   { return ndnboost::math::cyl_bessel_j(v, x, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::detail::bessel_traits<T, T, Policy >::result_type sph_bessel(unsigned v, T x)\
+   { return ndnboost::math::sph_bessel(v, x, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::detail::bessel_traits<T1, T2, Policy >::result_type \
+   cyl_bessel_i(T1 v, T2 x) { return ndnboost::math::cyl_bessel_i(v, x, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::detail::bessel_traits<T1, T2, Policy >::result_type \
+   cyl_bessel_k(T1 v, T2 x) { return ndnboost::math::cyl_bessel_k(v, x, Policy()); }\
+\
+   template <class T1, class T2>\
+   inline typename ndnboost::math::detail::bessel_traits<T1, T2, Policy >::result_type \
+   cyl_neumann(T1 v, T2 x){ return ndnboost::math::cyl_neumann(v, x, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::detail::bessel_traits<T, T, Policy >::result_type \
+   sph_neumann(unsigned v, T x){ return ndnboost::math::sph_neumann(v, x, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::detail::bessel_traits<T, T, Policy >::result_type cyl_bessel_j_zero(T v, int m)\
+   { return ndnboost::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)\
+   { ndnboost::math::cyl_bessel_j_zero(v, start_index, number_of_zeros, out_it, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::detail::bessel_traits<T, T, Policy >::result_type cyl_neumann_zero(T v, int m)\
+   { return ndnboost::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)\
+   { ndnboost::math::cyl_neumann_zero(v, start_index, number_of_zeros, out_it, Policy()); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type sin_pi(T x){ return ndnboost::math::sin_pi(x); }\
+\
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type cos_pi(T x){ return ndnboost::math::cos_pi(x); }\
+\
+   using ndnboost::math::fpclassify;\
+   using ndnboost::math::isfinite;\
+   using ndnboost::math::isinf;\
+   using ndnboost::math::isnan;\
+   using ndnboost::math::isnormal;\
+   using ndnboost::math::signbit;\
+   using ndnboost::math::sign;\
+   using ndnboost::math::copysign;\
+   using ndnboost::math::changesign;\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T,U>::type expint(T const& z, U const& u)\
+   { return ndnboost::math::expint(z, u, Policy()); }\
+   \
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type expint(T z){ return ndnboost::math::expint(z, Policy()); }\
+   \
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type zeta(T s){ return ndnboost::math::zeta(s, Policy()); }\
+   \
+   template <class T>\
+   inline T round(const T& v){ using ndnboost::math::round; return round(v, Policy()); }\
+   \
+   template <class T>\
+   inline int iround(const T& v){ using ndnboost::math::iround; return iround(v, Policy()); }\
+   \
+   template <class T>\
+   inline long lround(const T& v){ using ndnboost::math::lround; return lround(v, Policy()); }\
+   \
+   template <class T>\
+   inline T trunc(const T& v){ using ndnboost::math::trunc; return trunc(v, Policy()); }\
+   \
+   template <class T>\
+   inline int itrunc(const T& v){ using ndnboost::math::itrunc; return itrunc(v, Policy()); }\
+   \
+   template <class T>\
+   inline long ltrunc(const T& v){ using ndnboost::math::ltrunc; return ltrunc(v, Policy()); }\
+   \
+   template <class T>\
+   inline T modf(const T& v, T* ipart){ using ndnboost::math::modf; return modf(v, ipart, Policy()); }\
+   \
+   template <class T>\
+   inline T modf(const T& v, int* ipart){ using ndnboost::math::modf; return modf(v, ipart, Policy()); }\
+   \
+   template <class T>\
+   inline T modf(const T& v, long* ipart){ using ndnboost::math::modf; return modf(v, ipart, Policy()); }\
+   \
+   template <int N, class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type pow(T v){ return ndnboost::math::pow<N>(v, Policy()); }\
+   \
+   template <class T> T nextafter(const T& a, const T& b){ return ndnboost::math::nextafter(a, b, Policy()); }\
+   template <class T> T float_next(const T& a){ return ndnboost::math::float_next(a, Policy()); }\
+   template <class T> T float_prior(const T& a){ return ndnboost::math::float_prior(a, Policy()); }\
+   template <class T> T float_distance(const T& a, const T& b){ return ndnboost::math::float_distance(a, b, Policy()); }\
+   \
+   template <class RT1, class RT2>\
+   inline typename ndnboost::math::tools::promote_args<RT1, RT2>::type owens_t(RT1 a, RT2 z){ return ndnboost::math::owens_t(a, z, Policy()); }\
+   \
+   template <class T1, class T2>\
+   inline std::complex<typename ndnboost::math::detail::bessel_traits<T1, T2, Policy >::result_type> cyl_hankel_1(T1 v, T2 x)\
+   {  return ndnboost::math::cyl_hankel_1(v, x, Policy()); }\
+   \
+   template <class T1, class T2>\
+   inline std::complex<typename ndnboost::math::detail::bessel_traits<T1, T2, Policy >::result_type> cyl_hankel_2(T1 v, T2 x)\
+   { return ndnboost::math::cyl_hankel_2(v, x, Policy()); }\
+   \
+   template <class T1, class T2>\
+   inline std::complex<typename ndnboost::math::detail::bessel_traits<T1, T2, Policy >::result_type> sph_hankel_1(T1 v, T2 x)\
+   { return ndnboost::math::sph_hankel_1(v, x, Policy()); }\
+   \
+   template <class T1, class T2>\
+   inline std::complex<typename ndnboost::math::detail::bessel_traits<T1, T2, Policy >::result_type> sph_hankel_2(T1 v, T2 x)\
+   { return ndnboost::math::sph_hankel_2(v, x, Policy()); }\
+   \
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type jacobi_elliptic(T k, T theta, T* pcn, T* pdn)\
+   { return ndnboost::math::jacobi_elliptic(k, theta, pcn, pdn, Policy()); }\
+   \
+   template <class U, class T>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_sn(U k, T theta)\
+   { return ndnboost::math::jacobi_sn(k, theta, Policy()); }\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_cn(T k, U theta)\
+   { return ndnboost::math::jacobi_cn(k, theta, Policy()); }\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_dn(T k, U theta)\
+   { return ndnboost::math::jacobi_dn(k, theta, Policy()); }\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_cd(T k, U theta)\
+   { return ndnboost::math::jacobi_cd(k, theta, Policy()); }\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_dc(T k, U theta)\
+   { return ndnboost::math::jacobi_dc(k, theta, Policy()); }\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_ns(T k, U theta)\
+   { return ndnboost::math::jacobi_ns(k, theta, Policy()); }\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_sd(T k, U theta)\
+   { return ndnboost::math::jacobi_sd(k, theta, Policy()); }\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_ds(T k, U theta)\
+   { return ndnboost::math::jacobi_ds(k, theta, Policy()); }\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_nc(T k, U theta)\
+   { return ndnboost::math::jacobi_nc(k, theta, Policy()); }\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_nd(T k, U theta)\
+   { return ndnboost::math::jacobi_nd(k, theta, Policy()); }\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_sc(T k, U theta)\
+   { return ndnboost::math::jacobi_sc(k, theta, Policy()); }\
+   \
+   template <class T, class U>\
+   inline typename ndnboost::math::tools::promote_args<T, U>::type jacobi_cs(T k, U theta)\
+   { return ndnboost::math::jacobi_cs(k, theta, Policy()); }\
+   \
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type airy_ai(T x)\
+   {  return ndnboost::math::airy_ai(x, Policy());  }\
+   \
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type airy_bi(T x)\
+   {  return ndnboost::math::airy_bi(x, Policy());  }\
+   \
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type airy_ai_prime(T x)\
+   {  return ndnboost::math::airy_ai_prime(x, Policy());  }\
+   \
+   template <class T>\
+   inline typename ndnboost::math::tools::promote_args<T>::type airy_bi_prime(T x)\
+   {  return ndnboost::math::airy_bi_prime(x, Policy());  }\
+   \
+   template <class T>\
+   inline T airy_ai_zero(int m)\
+   { return ndnboost::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 ndnboost::math::airy_ai_zero<T>(start_index, number_of_zeros, out_it, Policy()); }\
+   \
+   template <class T>\
+   inline T airy_bi_zero(int m)\
+   { return ndnboost::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 ndnboost::math::airy_bi_zero<T>(start_index, number_of_zeros, out_it, Policy()); }\
+   \
+
+
+
+
+
+#endif // BOOST_MATH_SPECIAL_MATH_FWD_HPP
+
+