// IT = Integer type.
// RT = Real type (built-in floating-point types, float, double, long double) & User Defined Types
-// AT = Integer or Real type
+// AT = Integer or Real type
#ifndef BOOST_MATH_SPECIAL_MATH_FWD_HPP
#define BOOST_MATH_SPECIAL_MATH_FWD_HPP
// Beta functions.
template <class RT1, class RT2>
- typename tools::promote_args<RT1, RT2>::type
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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.
// Polynomials:
template <class T1, class T2, class T3>
- typename tools::promote_args<T1, T2, T3>::type
+ 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
+ typename tools::promote_args<T>::type
legendre_p(int l, T x);
template <class T, class Policy>
- typename tools::promote_args<T>::type
+ typename tools::promote_args<T>::type
legendre_p(int l, T x, const Policy& pol);
template <class T>
- typename tools::promote_args<T>::type
+ typename tools::promote_args<T>::type
legendre_q(unsigned l, T x);
template <class T, class Policy>
- typename tools::promote_args<T>::type
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ typename tools::promote_args<T>::type
laguerre(unsigned n, T x);
template <class T, class Policy>
- typename tools::promote_args<T>::type
+ typename tools::promote_args<T>::type
laguerre(unsigned n, unsigned m, T x, const Policy& pol);
template <class T1, class T2>
};
template <class T1, class T2>
- typename laguerre_result<T1, T2>::type
+ typename laguerre_result<T1, T2>::type
laguerre(unsigned n, T1 m, T2 x);
template <class T>
- typename tools::promote_args<T>::type
+ typename tools::promote_args<T>::type
hermite(unsigned n, T x);
template <class T, class Policy>
- typename tools::promote_args<T>::type
+ 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
+ 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>
+ 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>
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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
+ 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>
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));
+ 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>
// Hypotenuse function sqrt(x ^ 2 + y ^ 2).
template <class T1, class T2>
- typename tools::promote_args<T1, T2>::type
+ 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
+ typename tools::promote_args<T1, T2>::type
hypot(T1 x, T2 y, const Policy&);
// cbrt - cube root.
// Power - 1
template <class T1, class T2>
- typename tools::promote_args<T1, T2>::type
+ 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
+ typename tools::promote_args<T1, T2>::type
powm1(const T1 a, const T2 z, const Policy&);
// sqrt(1+x) - 1
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>
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 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);
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>
- T nextafter(const T&, const T&, const Policy&);
- template <class T>
- T nextafter(const T&, const T&);
- template <class T, class Policy>
- T float_next(const T&, const Policy&);
+ typename tools::promote_args<T>::type float_next(const T&, const Policy&);
template <class T>
- T float_next(const T&);
+ typename tools::promote_args<T>::type float_next(const T&);
template <class T, class Policy>
- T float_prior(const T&, const Policy&);
+ typename tools::promote_args<T>::type float_prior(const T&, const Policy&);
template <class T>
- T float_prior(const 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>
- T float_distance(const T&, const T&, const Policy&);
+ typename tools::promote_args<T>::type float_advance(T val, int distance, const Policy& pol);
template <class T>
- T float_distance(const T&, const T&);
+ typename tools::promote_args<T>::type float_advance(const T& val, int distance);
} // namespace math
} // namespace boost
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()); }\
- using boost::math::fpclassify;\
\
template <class RT>\
inline typename boost::math::tools::promote_args<RT>::type tgamma(RT z){ return boost::math::tgamma(z, 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 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); }\
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)\
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 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()); }\
+ \
+
+
+
#endif // BOOST_MATH_SPECIAL_MATH_FWD_HPP
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