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1822 1823 1824 1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 | // Copyright John Maddock 2008.
// 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)
#ifndef BOOST_MATH_TR1_HPP
#define BOOST_MATH_TR1_HPP
#ifdef _MSC_VER
#pragma once
#endif
#include <math.h> // So we can check which std C lib we're using
#ifdef __cplusplus
#include <boost/config.hpp>
#include <boost/static_assert.hpp>
namespace boost{ namespace math{ namespace tr1{ extern "C"{
#else
#define BOOST_PREVENT_MACRO_SUBSTITUTION /**/
#endif // __cplusplus
// we need to import/export our code only if the user has specifically
// asked for it by defining either BOOST_ALL_DYN_LINK if they want all boost
// libraries to be dynamically linked, or BOOST_MATH_TR1_DYN_LINK
// if they want just this one to be dynamically liked:
#if defined(BOOST_ALL_DYN_LINK) || defined(BOOST_MATH_TR1_DYN_LINK)
// export if this is our own source, otherwise import:
#ifdef BOOST_MATH_TR1_SOURCE
# define BOOST_MATH_TR1_DECL BOOST_SYMBOL_EXPORT
#else
# define BOOST_MATH_TR1_DECL BOOST_SYMBOL_IMPORT
#endif // BOOST_MATH_TR1_SOURCE
#else
# define BOOST_MATH_TR1_DECL
#endif // DYN_LINK
//
// Set any throw specifications on the C99 extern "C" functions - these have to be
// the same as used in the std lib if any.
//
#if defined(__GLIBC__) && defined(__THROW)
# define BOOST_MATH_C99_THROW_SPEC __THROW
#else
# define BOOST_MATH_C99_THROW_SPEC
#endif
//
// Now set up the libraries to link against:
//
#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
&& !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
# define BOOST_LIB_NAME boost_math_c99
# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
# define BOOST_DYN_LINK
# endif
# include <boost/config/auto_link.hpp>
#endif
#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
&& !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
# define BOOST_LIB_NAME boost_math_c99f
# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
# define BOOST_DYN_LINK
# endif
# include <boost/config/auto_link.hpp>
#endif
#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
&& !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus) \
&& !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
# define BOOST_LIB_NAME boost_math_c99l
# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
# define BOOST_DYN_LINK
# endif
# include <boost/config/auto_link.hpp>
#endif
#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
&& !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
# define BOOST_LIB_NAME boost_math_tr1
# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
# define BOOST_DYN_LINK
# endif
# include <boost/config/auto_link.hpp>
#endif
#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
&& !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
# define BOOST_LIB_NAME boost_math_tr1f
# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
# define BOOST_DYN_LINK
# endif
# include <boost/config/auto_link.hpp>
#endif
#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
&& !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus) \
&& !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
# define BOOST_LIB_NAME boost_math_tr1l
# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
# define BOOST_DYN_LINK
# endif
# include <boost/config/auto_link.hpp>
#endif
#ifndef FLT_EVAL_METHOD
typedef float float_t;
typedef double double_t;
#elif FLT_EVAL_METHOD == 0
typedef float float_t;
typedef double double_t;
#elif FLT_EVAL_METHOD == 1
typedef double float_t;
typedef double double_t;
#else
typedef long double float_t;
typedef long double double_t;
#endif
// C99 Functions:
double BOOST_MATH_TR1_DECL boost_acosh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_acoshf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_acoshl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_asinh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_asinhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_asinhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_atanh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_atanhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_atanhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_cbrtf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_cbrtl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_copysign BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_copysignf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_copysignl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_erf BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_erff BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_erfl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_erfc BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_erfcf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_erfcl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#if 0
double BOOST_MATH_TR1_DECL boost_exp2 BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_exp2f BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_exp2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#endif
double BOOST_MATH_TR1_DECL boost_expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_expm1f BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_expm1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#if 0
double BOOST_MATH_TR1_DECL boost_fdim BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_fdimf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_fdiml BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_fma BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y, double z) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_fmaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y, float z) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_fmal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, long double z) BOOST_MATH_C99_THROW_SPEC;
#endif
double BOOST_MATH_TR1_DECL boost_fmax BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_fmaxf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_fmaxl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_fmin BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_fminf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_fminl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_hypot BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_hypotf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_hypotl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
#if 0
int BOOST_MATH_TR1_DECL boost_ilogb BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
int BOOST_MATH_TR1_DECL boost_ilogbf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
int BOOST_MATH_TR1_DECL boost_ilogbl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#endif
double BOOST_MATH_TR1_DECL boost_lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_lgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_lgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#ifdef BOOST_HAS_LONG_LONG
#if 0
::boost::long_long_type BOOST_MATH_TR1_DECL boost_llrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
::boost::long_long_type BOOST_MATH_TR1_DECL boost_llrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
::boost::long_long_type BOOST_MATH_TR1_DECL boost_llrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#endif
::boost::long_long_type BOOST_MATH_TR1_DECL boost_llround BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
::boost::long_long_type BOOST_MATH_TR1_DECL boost_llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
::boost::long_long_type BOOST_MATH_TR1_DECL boost_llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#endif
double BOOST_MATH_TR1_DECL boost_log1p BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_log1pl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#if 0
double BOOST_MATH_TR1_DECL log2 BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL log2f BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL log2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL logb BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL logbf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL logbl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
long BOOST_MATH_TR1_DECL lrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
long BOOST_MATH_TR1_DECL lrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long BOOST_MATH_TR1_DECL lrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#endif
long BOOST_MATH_TR1_DECL boost_lround BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
long BOOST_MATH_TR1_DECL boost_lroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long BOOST_MATH_TR1_DECL boost_lroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#if 0
double BOOST_MATH_TR1_DECL nan BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL nanf BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL nanl BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL nearbyint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL nearbyintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL nearbyintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#endif
double BOOST_MATH_TR1_DECL boost_nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_nextafterf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_nextafterl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(double x, long double y) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_nexttowardf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, long double y) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_nexttowardl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
#if 0
double BOOST_MATH_TR1_DECL boost_remainder BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_remainderf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_remainderl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_remquo BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y, int *pquo) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_remquof BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y, int *pquo) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_remquol BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, int *pquo) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_rint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_rintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_rintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#endif
double BOOST_MATH_TR1_DECL boost_round BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_roundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_roundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
#if 0
double BOOST_MATH_TR1_DECL boost_scalbln BOOST_PREVENT_MACRO_SUBSTITUTION(double x, long ex) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_scalblnf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, long ex) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_scalblnl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long ex) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_scalbn BOOST_PREVENT_MACRO_SUBSTITUTION(double x, int ex) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_scalbnf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, int ex) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_scalbnl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, int ex) BOOST_MATH_C99_THROW_SPEC;
#endif
double BOOST_MATH_TR1_DECL boost_tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_tgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_tgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
double BOOST_MATH_TR1_DECL boost_trunc BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_truncf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_truncl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.1] associated Laguerre polynomials:
double BOOST_MATH_TR1_DECL boost_assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_assoc_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_assoc_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.2] associated Legendre functions:
double BOOST_MATH_TR1_DECL boost_assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_assoc_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_assoc_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.3] beta function:
double BOOST_MATH_TR1_DECL boost_beta BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_betaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_betal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.4] (complete) elliptic integral of the first kind:
double BOOST_MATH_TR1_DECL boost_comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double k) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_comp_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float k) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_comp_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.5] (complete) elliptic integral of the second kind:
double BOOST_MATH_TR1_DECL boost_comp_ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(double k) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_comp_ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(float k) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_comp_ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.6] (complete) elliptic integral of the third kind:
double BOOST_MATH_TR1_DECL boost_comp_ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double nu) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_comp_ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_comp_ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu) BOOST_MATH_C99_THROW_SPEC;
#if 0
// [5.2.1.7] confluent hypergeometric functions:
double BOOST_MATH_TR1_DECL conf_hyperg BOOST_PREVENT_MACRO_SUBSTITUTION(double a, double c, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL conf_hypergf BOOST_PREVENT_MACRO_SUBSTITUTION(float a, float c, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL conf_hypergl BOOST_PREVENT_MACRO_SUBSTITUTION(long double a, long double c, long double x) BOOST_MATH_C99_THROW_SPEC;
#endif
// [5.2.1.8] regular modified cylindrical Bessel functions:
double BOOST_MATH_TR1_DECL boost_cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_cyl_bessel_if BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_cyl_bessel_il BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.9] cylindrical Bessel functions (of the first kind):
double BOOST_MATH_TR1_DECL boost_cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_cyl_bessel_jf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_cyl_bessel_jl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.10] irregular modified cylindrical Bessel functions:
double BOOST_MATH_TR1_DECL boost_cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_cyl_bessel_kf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_cyl_bessel_kl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.11] cylindrical Neumann functions BOOST_MATH_C99_THROW_SPEC;
// cylindrical Bessel functions (of the second kind):
double BOOST_MATH_TR1_DECL boost_cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_cyl_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_cyl_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.12] (incomplete) elliptic integral of the first kind:
double BOOST_MATH_TR1_DECL boost_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.13] (incomplete) elliptic integral of the second kind:
double BOOST_MATH_TR1_DECL boost_ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.14] (incomplete) elliptic integral of the third kind:
double BOOST_MATH_TR1_DECL boost_ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double nu, double phi) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.15] exponential integral:
double BOOST_MATH_TR1_DECL boost_expint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_expintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_expintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.16] Hermite polynomials:
double BOOST_MATH_TR1_DECL boost_hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_hermitef BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_hermitel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
#if 0
// [5.2.1.17] hypergeometric functions:
double BOOST_MATH_TR1_DECL hyperg BOOST_PREVENT_MACRO_SUBSTITUTION(double a, double b, double c, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL hypergf BOOST_PREVENT_MACRO_SUBSTITUTION(float a, float b, float c, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL hypergl BOOST_PREVENT_MACRO_SUBSTITUTION(long double a, long double b, long double c,
long double x) BOOST_MATH_C99_THROW_SPEC;
#endif
// [5.2.1.18] Laguerre polynomials:
double BOOST_MATH_TR1_DECL boost_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.19] Legendre polynomials:
double BOOST_MATH_TR1_DECL boost_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, long double x) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.20] Riemann zeta function:
double BOOST_MATH_TR1_DECL boost_riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(double) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_riemann_zetaf BOOST_PREVENT_MACRO_SUBSTITUTION(float) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_riemann_zetal BOOST_PREVENT_MACRO_SUBSTITUTION(long double) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.21] spherical Bessel functions (of the first kind):
double BOOST_MATH_TR1_DECL boost_sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_sph_besself BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_sph_bessell BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.22] spherical associated Legendre functions:
double BOOST_MATH_TR1_DECL boost_sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double theta) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_sph_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_sph_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double theta) BOOST_MATH_C99_THROW_SPEC;
// [5.2.1.23] spherical Neumann functions BOOST_MATH_C99_THROW_SPEC;
// spherical Bessel functions (of the second kind):
double BOOST_MATH_TR1_DECL boost_sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
float BOOST_MATH_TR1_DECL boost_sph_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
long double BOOST_MATH_TR1_DECL boost_sph_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
#ifdef __cplusplus
}}}} // namespaces
#include <boost/math/tools/promotion.hpp>
namespace boost{ namespace math{ namespace tr1{
//
// Declare overload of the functions which forward to the
// C interfaces:
//
// C99 Functions:
inline double acosh BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_acosh BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float acoshf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_acoshf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double acoshl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_acoshl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float acosh BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::acoshf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double acosh BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::acoshl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type acosh BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::acosh BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
inline double asinh BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_asinh BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float asinhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_asinhf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double asinhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_asinhl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float asinh BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::asinhf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double asinh BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::asinhl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type asinh BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::asinh BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
inline double atanh BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_atanh BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float atanhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_atanhf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double atanhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_atanhl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float atanh BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::atanhf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double atanh BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::atanhl(x); }
template <class T>
inline typename tools::promote_args<T>::type atanh BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::atanh BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
inline double cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float cbrtf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_cbrtf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double cbrtl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_cbrtl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::cbrtf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::cbrtl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
inline double copysign BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
{ return boost::math::tr1::boost_copysign BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline float copysignf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::boost_copysignf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double copysignl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::boost_copysignl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline float copysign BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::copysignf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double copysign BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::copysignl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type copysign BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
{ return boost::math::tr1::copysign BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
inline double erf BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_erf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float erff BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_erff BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double erfl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_erfl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float erf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::erff BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double erf BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::erfl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type erf BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::erf BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
inline double erfc BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_erfc BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float erfcf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_erfcf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double erfcl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_erfcl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float erfc BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::erfcf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double erfc BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::erfcl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type erfc BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::erfc BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
#if 0
double exp2 BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
float exp2f BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
long double exp2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
#endif
inline float expm1f BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_expm1f BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline double expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double expm1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_expm1l BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::expm1f BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::expm1l BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
#if 0
double fdim BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y);
float fdimf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y);
long double fdiml BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y);
double fma BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y, double z);
float fmaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y, float z);
long double fmal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, long double z);
#endif
inline double fmax BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
{ return boost::math::tr1::boost_fmax BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline float fmaxf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::boost_fmaxf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double fmaxl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::boost_fmaxl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline float fmax BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::fmaxf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double fmax BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::fmaxl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type fmax BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
{ return boost::math::tr1::fmax BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
inline double fmin BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
{ return boost::math::tr1::boost_fmin BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline float fminf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::boost_fminf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double fminl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::boost_fminl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline float fmin BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::fminf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double fmin BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::fminl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type fmin BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
{ return boost::math::tr1::fmin BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
inline float hypotf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::boost_hypotf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline double hypot BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
{ return boost::math::tr1::boost_hypot BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double hypotl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::boost_hypotl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline float hypot BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::hypotf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double hypot BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::hypotl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type hypot BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
{ return boost::math::tr1::hypot BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
#if 0
int ilogb BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
int ilogbf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
int ilogbl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
#endif
inline float lgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_lgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline double lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double lgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_lgammal BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::lgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::lgammal BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
#ifdef BOOST_HAS_LONG_LONG
#if 0
::boost::long_long_type llrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
::boost::long_long_type llrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
::boost::long_long_type llrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
#endif
inline ::boost::long_long_type llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_llround BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline ::boost::long_long_type llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return llround BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<double>(x)); }
#endif
inline float log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline double log1p BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_log1p BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double log1pl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_log1pl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float log1p BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double log1p BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::log1pl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type log1p BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::log1p BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
#if 0
double log2 BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
float log2f BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
long double log2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
double logb BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
float logbf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
long double logbl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
long lrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
long lrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
long lrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
#endif
inline long lroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_lroundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long lround BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_lround BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long lroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_lroundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long lround BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::lroundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long lround BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::lroundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
long lround BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::lround BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<double>(x)); }
#if 0
double nan BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str);
float nanf BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str);
long double nanl BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str);
double nearbyint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
float nearbyintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
long double nearbyintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
#endif
inline float nextafterf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::boost_nextafterf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline double nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
{ return boost::math::tr1::boost_nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double nextafterl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::boost_nextafterl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline float nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::nextafterf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::nextafterl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
{ return boost::math::tr1::nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
inline float nexttowardf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::boost_nexttowardf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline double nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
{ return boost::math::tr1::boost_nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double nexttowardl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::boost_nexttowardl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline float nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::nexttowardf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::nexttowardl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
{ return boost::math::tr1::nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<long double>(y)); }
#if 0
double remainder BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y);
float remainderf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y);
long double remainderl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y);
double remquo BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y, int *pquo);
float remquof BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y, int *pquo);
long double remquol BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, int *pquo);
double rint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
float rintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
long double rintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
#endif
inline float roundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_roundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline double round BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_round BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double roundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_roundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float round BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::roundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double round BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::roundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type round BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::round BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
#if 0
double scalbln BOOST_PREVENT_MACRO_SUBSTITUTION(double x, long ex);
float scalblnf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, long ex);
long double scalblnl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long ex);
double scalbn BOOST_PREVENT_MACRO_SUBSTITUTION(double x, int ex);
float scalbnf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, int ex);
long double scalbnl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, int ex);
#endif
inline float tgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_tgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline double tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double tgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_tgammal BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::tgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::tgammal BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
inline float truncf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_truncf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline double trunc BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_trunc BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double truncl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_truncl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float trunc BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::truncf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double trunc BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::truncl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type trunc BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::trunc BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
# define NO_MACRO_EXPAND /**/
// C99 macros defined as C++ templates
template<class T> bool signbit NO_MACRO_EXPAND(T x)
{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
template<> bool BOOST_MATH_TR1_DECL signbit<float> NO_MACRO_EXPAND(float x);
template<> bool BOOST_MATH_TR1_DECL signbit<double> NO_MACRO_EXPAND(double x);
template<> bool BOOST_MATH_TR1_DECL signbit<long double> NO_MACRO_EXPAND(long double x);
template<class T> int fpclassify NO_MACRO_EXPAND(T x)
{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
template<> int BOOST_MATH_TR1_DECL fpclassify<float> NO_MACRO_EXPAND(float x);
template<> int BOOST_MATH_TR1_DECL fpclassify<double> NO_MACRO_EXPAND(double x);
template<> int BOOST_MATH_TR1_DECL fpclassify<long double> NO_MACRO_EXPAND(long double x);
template<class T> bool isfinite NO_MACRO_EXPAND(T x)
{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
template<> bool BOOST_MATH_TR1_DECL isfinite<float> NO_MACRO_EXPAND(float x);
template<> bool BOOST_MATH_TR1_DECL isfinite<double> NO_MACRO_EXPAND(double x);
template<> bool BOOST_MATH_TR1_DECL isfinite<long double> NO_MACRO_EXPAND(long double x);
template<class T> bool isinf NO_MACRO_EXPAND(T x)
{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
template<> bool BOOST_MATH_TR1_DECL isinf<float> NO_MACRO_EXPAND(float x);
template<> bool BOOST_MATH_TR1_DECL isinf<double> NO_MACRO_EXPAND(double x);
template<> bool BOOST_MATH_TR1_DECL isinf<long double> NO_MACRO_EXPAND(long double x);
template<class T> bool isnan NO_MACRO_EXPAND(T x)
{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
template<> bool BOOST_MATH_TR1_DECL isnan<float> NO_MACRO_EXPAND(float x);
template<> bool BOOST_MATH_TR1_DECL isnan<double> NO_MACRO_EXPAND(double x);
template<> bool BOOST_MATH_TR1_DECL isnan<long double> NO_MACRO_EXPAND(long double x);
template<class T> bool isnormal NO_MACRO_EXPAND(T x)
{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
template<> bool BOOST_MATH_TR1_DECL isnormal<float> NO_MACRO_EXPAND(float x);
template<> bool BOOST_MATH_TR1_DECL isnormal<double> NO_MACRO_EXPAND(double x);
template<> bool BOOST_MATH_TR1_DECL isnormal<long double> NO_MACRO_EXPAND(long double x);
#undef NO_MACRO_EXPAND
// [5.2.1.1] associated Laguerre polynomials:
inline float assoc_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x)
{ return boost::math::tr1::boost_assoc_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
inline double assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, double x)
{ return boost::math::tr1::boost_assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
inline long double assoc_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x)
{ return boost::math::tr1::boost_assoc_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
inline float assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x)
{ return boost::math::tr1::assoc_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
inline long double assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x)
{ return boost::math::tr1::assoc_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
template <class T>
inline typename tools::promote_args<T>::type assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, T x)
{ return boost::math::tr1::assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, static_cast<typename tools::promote_args<T>::type>(x)); }
// [5.2.1.2] associated Legendre functions:
inline float assoc_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x)
{ return boost::math::tr1::boost_assoc_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
inline double assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double x)
{ return boost::math::tr1::boost_assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
inline long double assoc_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x)
{ return boost::math::tr1::boost_assoc_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
inline float assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x)
{ return boost::math::tr1::assoc_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
inline long double assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x)
{ return boost::math::tr1::assoc_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
template <class T>
inline typename tools::promote_args<T>::type assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, T x)
{ return boost::math::tr1::assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, static_cast<typename tools::promote_args<T>::type>(x)); }
// [5.2.1.3] beta function:
inline float betaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::boost_betaf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline double beta BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
{ return boost::math::tr1::boost_beta BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double betal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::boost_betal BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline float beta BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
{ return boost::math::tr1::betaf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
inline long double beta BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
{ return boost::math::tr1::betal BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type beta BOOST_PREVENT_MACRO_SUBSTITUTION(T2 x, T1 y)
{ return boost::math::tr1::beta BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
// [5.2.1.4] (complete) elliptic integral of the first kind:
inline float comp_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float k)
{ return boost::math::tr1::boost_comp_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(k); }
inline double comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double k)
{ return boost::math::tr1::boost_comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(k); }
inline long double comp_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k)
{ return boost::math::tr1::boost_comp_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(k); }
inline float comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(float k)
{ return boost::math::tr1::comp_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(k); }
inline long double comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(long double k)
{ return boost::math::tr1::comp_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(k); }
template <class T>
inline typename tools::promote_args<T>::type comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(T k)
{ return boost::math::tr1::comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(k)); }
// [5.2.1.5] BOOST_PREVENT_MACRO_SUBSTITUTION(complete) elliptic integral of the second kind:
inline float comp_ellint_2f(float k)
{ return boost::math::tr1::boost_comp_ellint_2f(k); }
inline double comp_ellint_2(double k)
{ return boost::math::tr1::boost_comp_ellint_2(k); }
inline long double comp_ellint_2l(long double k)
{ return boost::math::tr1::boost_comp_ellint_2l(k); }
inline float comp_ellint_2(float k)
{ return boost::math::tr1::comp_ellint_2f(k); }
inline long double comp_ellint_2(long double k)
{ return boost::math::tr1::comp_ellint_2l(k); }
template <class T>
inline typename tools::promote_args<T>::type comp_ellint_2(T k)
{ return boost::math::tr1::comp_ellint_2(static_cast<typename tools::promote_args<T>::type> BOOST_PREVENT_MACRO_SUBSTITUTION(k)); }
// [5.2.1.6] BOOST_PREVENT_MACRO_SUBSTITUTION(complete) elliptic integral of the third kind:
inline float comp_ellint_3f(float k, float nu)
{ return boost::math::tr1::boost_comp_ellint_3f(k, nu); }
inline double comp_ellint_3(double k, double nu)
{ return boost::math::tr1::boost_comp_ellint_3(k, nu); }
inline long double comp_ellint_3l(long double k, long double nu)
{ return boost::math::tr1::boost_comp_ellint_3l(k, nu); }
inline float comp_ellint_3(float k, float nu)
{ return boost::math::tr1::comp_ellint_3f(k, nu); }
inline long double comp_ellint_3(long double k, long double nu)
{ return boost::math::tr1::comp_ellint_3l(k, nu); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type comp_ellint_3(T1 k, T2 nu)
{ return boost::math::tr1::comp_ellint_3(static_cast<typename tools::promote_args<T1, T2>::type> BOOST_PREVENT_MACRO_SUBSTITUTION(k), static_cast<typename tools::promote_args<T1, T2>::type> BOOST_PREVENT_MACRO_SUBSTITUTION(nu)); }
#if 0
// [5.2.1.7] confluent hypergeometric functions:
double conf_hyperg BOOST_PREVENT_MACRO_SUBSTITUTION(double a, double c, double x);
float conf_hypergf BOOST_PREVENT_MACRO_SUBSTITUTION(float a, float c, float x);
long double conf_hypergl BOOST_PREVENT_MACRO_SUBSTITUTION(long double a, long double c, long double x);
#endif
// [5.2.1.8] regular modified cylindrical Bessel functions:
inline float cyl_bessel_if BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
{ return boost::math::tr1::boost_cyl_bessel_if BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline double cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
{ return boost::math::tr1::boost_cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline long double cyl_bessel_il BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
{ return boost::math::tr1::boost_cyl_bessel_il BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline float cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
{ return boost::math::tr1::cyl_bessel_if BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline long double cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
{ return boost::math::tr1::cyl_bessel_il BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
{ return boost::math::tr1::cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
// [5.2.1.9] cylindrical Bessel functions (of the first kind):
inline float cyl_bessel_jf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
{ return boost::math::tr1::boost_cyl_bessel_jf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline double cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
{ return boost::math::tr1::boost_cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline long double cyl_bessel_jl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
{ return boost::math::tr1::boost_cyl_bessel_jl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline float cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
{ return boost::math::tr1::cyl_bessel_jf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline long double cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
{ return boost::math::tr1::cyl_bessel_jl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
{ return boost::math::tr1::cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
// [5.2.1.10] irregular modified cylindrical Bessel functions:
inline float cyl_bessel_kf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
{ return boost::math::tr1::boost_cyl_bessel_kf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline double cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
{ return boost::math::tr1::boost_cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline long double cyl_bessel_kl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
{ return boost::math::tr1::boost_cyl_bessel_kl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline float cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
{ return boost::math::tr1::cyl_bessel_kf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline long double cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
{ return boost::math::tr1::cyl_bessel_kl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
{ return boost::math::tr1::cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type> BOOST_PREVENT_MACRO_SUBSTITUTION(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
// [5.2.1.11] cylindrical Neumann functions;
// cylindrical Bessel functions (of the second kind):
inline float cyl_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
{ return boost::math::tr1::boost_cyl_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline double cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
{ return boost::math::tr1::boost_cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline long double cyl_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
{ return boost::math::tr1::boost_cyl_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline float cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
{ return boost::math::tr1::cyl_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
inline long double cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
{ return boost::math::tr1::cyl_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
{ return boost::math::tr1::cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
// [5.2.1.12] (incomplete) elliptic integral of the first kind:
inline float ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
{ return boost::math::tr1::boost_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
inline double ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi)
{ return boost::math::tr1::boost_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
inline long double ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
{ return boost::math::tr1::boost_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
inline float ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
{ return boost::math::tr1::ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
inline long double ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
{ return boost::math::tr1::ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 phi)
{ return boost::math::tr1::ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(k), static_cast<typename tools::promote_args<T1, T2>::type>(phi)); }
// [5.2.1.13] (incomplete) elliptic integral of the second kind:
inline float ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
{ return boost::math::tr1::boost_ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
inline double ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi)
{ return boost::math::tr1::boost_ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
inline long double ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
{ return boost::math::tr1::boost_ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
inline float ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
{ return boost::math::tr1::ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
inline long double ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
{ return boost::math::tr1::ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
template <class T1, class T2>
inline typename tools::promote_args<T1, T2>::type ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 phi)
{ return boost::math::tr1::ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(k), static_cast<typename tools::promote_args<T1, T2>::type>(phi)); }
// [5.2.1.14] (incomplete) elliptic integral of the third kind:
inline float ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi)
{ return boost::math::tr1::boost_ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
inline double ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double nu, double phi)
{ return boost::math::tr1::boost_ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
inline long double ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi)
{ return boost::math::tr1::boost_ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
inline float ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi)
{ return boost::math::tr1::ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
inline long double ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi)
{ return boost::math::tr1::ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
template <class T1, class T2, class T3>
inline typename tools::promote_args<T1, T2, T3>::type ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 nu, T3 phi)
{ return boost::math::tr1::ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2, T3>::type>(k), static_cast<typename tools::promote_args<T1, T2, T3>::type>(nu), static_cast<typename tools::promote_args<T1, T2, T3>::type>(phi)); }
// [5.2.1.15] exponential integral:
inline float expintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::boost_expintf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline double expint BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
{ return boost::math::tr1::boost_expint BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double expintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::boost_expintl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline float expint BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
{ return boost::math::tr1::expintf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
inline long double expint BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
{ return boost::math::tr1::expintl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
template <class T>
inline typename tools::promote_args<T>::type expint BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
{ return boost::math::tr1::expint BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
// [5.2.1.16] Hermite polynomials:
inline float hermitef BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
{ return boost::math::tr1::boost_hermitef BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline double hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
{ return boost::math::tr1::boost_hermite BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline long double hermitel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
{ return boost::math::tr1::boost_hermitel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline float hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
{ return boost::math::tr1::hermitef BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline long double hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
{ return boost::math::tr1::hermitel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
template <class T>
inline typename tools::promote_args<T>::type hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
{ return boost::math::tr1::hermite BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
#if 0
// [5.2.1.17] hypergeometric functions:
double hyperg BOOST_PREVENT_MACRO_SUBSTITUTION(double a, double b, double c, double x);
float hypergf BOOST_PREVENT_MACRO_SUBSTITUTION(float a, float b, float c, float x);
long double hypergl BOOST_PREVENT_MACRO_SUBSTITUTION(long double a, long double b, long double c,
long double x);
#endif
// [5.2.1.18] Laguerre polynomials:
inline float laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
{ return boost::math::tr1::boost_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline double laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
{ return boost::math::tr1::boost_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline long double laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
{ return boost::math::tr1::boost_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline float laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
{ return boost::math::tr1::laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline long double laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
{ return boost::math::tr1::laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
template <class T>
inline typename tools::promote_args<T>::type laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
{ return boost::math::tr1::laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
// [5.2.1.19] Legendre polynomials:
inline float legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x)
{ return boost::math::tr1::boost_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, x); }
inline double legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, double x)
{ return boost::math::tr1::boost_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, x); }
inline long double legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, long double x)
{ return boost::math::tr1::boost_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, x); }
inline float legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x)
{ return boost::math::tr1::legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, x); }
inline long double legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, long double x)
{ return boost::math::tr1::legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, x); }
template <class T>
inline typename tools::promote_args<T>::type legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, T x)
{ return boost::math::tr1::legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, static_cast<typename tools::promote_args<T>::type>(x)); }
// [5.2.1.20] Riemann zeta function:
inline float riemann_zetaf BOOST_PREVENT_MACRO_SUBSTITUTION(float z)
{ return boost::math::tr1::boost_riemann_zetaf BOOST_PREVENT_MACRO_SUBSTITUTION(z); }
inline double riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(double z)
{ return boost::math::tr1::boost_riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(z); }
inline long double riemann_zetal BOOST_PREVENT_MACRO_SUBSTITUTION(long double z)
{ return boost::math::tr1::boost_riemann_zetal BOOST_PREVENT_MACRO_SUBSTITUTION(z); }
inline float riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(float z)
{ return boost::math::tr1::riemann_zetaf BOOST_PREVENT_MACRO_SUBSTITUTION(z); }
inline long double riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(long double z)
{ return boost::math::tr1::riemann_zetal BOOST_PREVENT_MACRO_SUBSTITUTION(z); }
template <class T>
inline typename tools::promote_args<T>::type riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(T z)
{ return boost::math::tr1::riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(z)); }
// [5.2.1.21] spherical Bessel functions (of the first kind):
inline float sph_besself BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
{ return boost::math::tr1::boost_sph_besself BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline double sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
{ return boost::math::tr1::boost_sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline long double sph_bessell BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
{ return boost::math::tr1::boost_sph_bessell BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline float sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
{ return boost::math::tr1::sph_besself BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline long double sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
{ return boost::math::tr1::sph_bessell BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
template <class T>
inline typename tools::promote_args<T>::type sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
{ return boost::math::tr1::sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
// [5.2.1.22] spherical associated Legendre functions:
inline float sph_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta)
{ return boost::math::tr1::boost_sph_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
inline double sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double theta)
{ return boost::math::tr1::boost_sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
inline long double sph_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double theta)
{ return boost::math::tr1::boost_sph_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
inline float sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta)
{ return boost::math::tr1::sph_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
inline long double sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double theta)
{ return boost::math::tr1::sph_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
template <class T>
inline typename tools::promote_args<T>::type sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, T theta)
{ return boost::math::tr1::sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, static_cast<typename tools::promote_args<T>::type>(theta)); }
// [5.2.1.23] spherical Neumann functions;
// spherical Bessel functions (of the second kind):
inline float sph_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
{ return boost::math::tr1::boost_sph_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline double sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
{ return boost::math::tr1::boost_sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline long double sph_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
{ return boost::math::tr1::boost_sph_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline float sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
{ return boost::math::tr1::sph_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
inline long double sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
{ return boost::math::tr1::sph_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
template <class T>
inline typename tools::promote_args<T>::type sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
{ return boost::math::tr1::sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
}}} // namespaces
#else // __cplusplus
// C99 Functions:
#ifdef acosh
#undef acosh
#endif
#define acosh boost_acosh
#ifdef acoshf
#undef acoshf
#endif
#define acoshf boost_acoshf
#ifdef acoshl
#undef acoshl
#endif
#define acoshl boost_acoshl
#ifdef asinh
#undef asinh
#endif
#define asinh boost_asinh
#ifdef asinhf
#undef asinhf
#endif
#define asinhf boost_asinhf
#ifdef asinhl
#undef asinhl
#endif
#define asinhl boost_asinhl
#ifdef atanh
#undef atanh
#endif
#define atanh boost_atanh
#ifdef atanhf
#undef atanhf
#endif
#define atanhf boost_atanhf
#ifdef atanhl
#undef atanhl
#endif
#define atanhl boost_atanhl
#ifdef cbrt
#undef cbrt
#endif
#define cbrt boost_cbrt
#ifdef cbrtf
#undef cbrtf
#endif
#define cbrtf boost_cbrtf
#ifdef cbrtl
#undef cbrtl
#endif
#define cbrtl boost_cbrtl
#ifdef copysign
#undef copysign
#endif
#define copysign boost_copysign
#ifdef copysignf
#undef copysignf
#endif
#define copysignf boost_copysignf
#ifdef copysignl
#undef copysignl
#endif
#define copysignl boost_copysignl
#ifdef erf
#undef erf
#endif
#define erf boost_erf
#ifdef erff
#undef erff
#endif
#define erff boost_erff
#ifdef erfl
#undef erfl
#endif
#define erfl boost_erfl
#ifdef erfc
#undef erfc
#endif
#define erfc boost_erfc
#ifdef erfcf
#undef erfcf
#endif
#define erfcf boost_erfcf
#ifdef erfcl
#undef erfcl
#endif
#define erfcl boost_erfcl
#if 0
#ifdef exp2
#undef exp2
#endif
#define exp2 boost_exp2
#ifdef exp2f
#undef exp2f
#endif
#define exp2f boost_exp2f
#ifdef exp2l
#undef exp2l
#endif
#define exp2l boost_exp2l
#endif
#ifdef expm1
#undef expm1
#endif
#define expm1 boost_expm1
#ifdef expm1f
#undef expm1f
#endif
#define expm1f boost_expm1f
#ifdef expm1l
#undef expm1l
#endif
#define expm1l boost_expm1l
#if 0
#ifdef fdim
#undef fdim
#endif
#define fdim boost_fdim
#ifdef fdimf
#undef fdimf
#endif
#define fdimf boost_fdimf
#ifdef fdiml
#undef fdiml
#endif
#define fdiml boost_fdiml
#ifdef acosh
#undef acosh
#endif
#define fma boost_fma
#ifdef fmaf
#undef fmaf
#endif
#define fmaf boost_fmaf
#ifdef fmal
#undef fmal
#endif
#define fmal boost_fmal
#endif
#ifdef fmax
#undef fmax
#endif
#define fmax boost_fmax
#ifdef fmaxf
#undef fmaxf
#endif
#define fmaxf boost_fmaxf
#ifdef fmaxl
#undef fmaxl
#endif
#define fmaxl boost_fmaxl
#ifdef fmin
#undef fmin
#endif
#define fmin boost_fmin
#ifdef fminf
#undef fminf
#endif
#define fminf boost_fminf
#ifdef fminl
#undef fminl
#endif
#define fminl boost_fminl
#ifdef hypot
#undef hypot
#endif
#define hypot boost_hypot
#ifdef hypotf
#undef hypotf
#endif
#define hypotf boost_hypotf
#ifdef hypotl
#undef hypotl
#endif
#define hypotl boost_hypotl
#if 0
#ifdef ilogb
#undef ilogb
#endif
#define ilogb boost_ilogb
#ifdef ilogbf
#undef ilogbf
#endif
#define ilogbf boost_ilogbf
#ifdef ilogbl
#undef ilogbl
#endif
#define ilogbl boost_ilogbl
#endif
#ifdef lgamma
#undef lgamma
#endif
#define lgamma boost_lgamma
#ifdef lgammaf
#undef lgammaf
#endif
#define lgammaf boost_lgammaf
#ifdef lgammal
#undef lgammal
#endif
#define lgammal boost_lgammal
#ifdef BOOST_HAS_LONG_LONG
#if 0
#ifdef llrint
#undef llrint
#endif
#define llrint boost_llrint
#ifdef llrintf
#undef llrintf
#endif
#define llrintf boost_llrintf
#ifdef llrintl
#undef llrintl
#endif
#define llrintl boost_llrintl
#endif
#ifdef llround
#undef llround
#endif
#define llround boost_llround
#ifdef llroundf
#undef llroundf
#endif
#define llroundf boost_llroundf
#ifdef llroundl
#undef llroundl
#endif
#define llroundl boost_llroundl
#endif
#ifdef log1p
#undef log1p
#endif
#define log1p boost_log1p
#ifdef log1pf
#undef log1pf
#endif
#define log1pf boost_log1pf
#ifdef log1pl
#undef log1pl
#endif
#define log1pl boost_log1pl
#if 0
#ifdef log2
#undef log2
#endif
#define log2 boost_log2
#ifdef log2f
#undef log2f
#endif
#define log2f boost_log2f
#ifdef log2l
#undef log2l
#endif
#define log2l boost_log2l
#ifdef logb
#undef logb
#endif
#define logb boost_logb
#ifdef logbf
#undef logbf
#endif
#define logbf boost_logbf
#ifdef logbl
#undef logbl
#endif
#define logbl boost_logbl
#ifdef lrint
#undef lrint
#endif
#define lrint boost_lrint
#ifdef lrintf
#undef lrintf
#endif
#define lrintf boost_lrintf
#ifdef lrintl
#undef lrintl
#endif
#define lrintl boost_lrintl
#endif
#ifdef lround
#undef lround
#endif
#define lround boost_lround
#ifdef lroundf
#undef lroundf
#endif
#define lroundf boost_lroundf
#ifdef lroundl
#undef lroundl
#endif
#define lroundl boost_lroundl
#if 0
#ifdef nan
#undef nan
#endif
#define nan boost_nan
#ifdef nanf
#undef nanf
#endif
#define nanf boost_nanf
#ifdef nanl
#undef nanl
#endif
#define nanl boost_nanl
#ifdef nearbyint
#undef nearbyint
#endif
#define nearbyint boost_nearbyint
#ifdef nearbyintf
#undef nearbyintf
#endif
#define nearbyintf boost_nearbyintf
#ifdef nearbyintl
#undef nearbyintl
#endif
#define nearbyintl boost_nearbyintl
#endif
#ifdef nextafter
#undef nextafter
#endif
#define nextafter boost_nextafter
#ifdef nextafterf
#undef nextafterf
#endif
#define nextafterf boost_nextafterf
#ifdef nextafterl
#undef nextafterl
#endif
#define nextafterl boost_nextafterl
#ifdef nexttoward
#undef nexttoward
#endif
#define nexttoward boost_nexttoward
#ifdef nexttowardf
#undef nexttowardf
#endif
#define nexttowardf boost_nexttowardf
#ifdef nexttowardl
#undef nexttowardl
#endif
#define nexttowardl boost_nexttowardl
#if 0
#ifdef remainder
#undef remainder
#endif
#define remainder boost_remainder
#ifdef remainderf
#undef remainderf
#endif
#define remainderf boost_remainderf
#ifdef remainderl
#undef remainderl
#endif
#define remainderl boost_remainderl
#ifdef remquo
#undef remquo
#endif
#define remquo boost_remquo
#ifdef remquof
#undef remquof
#endif
#define remquof boost_remquof
#ifdef remquol
#undef remquol
#endif
#define remquol boost_remquol
#ifdef rint
#undef rint
#endif
#define rint boost_rint
#ifdef rintf
#undef rintf
#endif
#define rintf boost_rintf
#ifdef rintl
#undef rintl
#endif
#define rintl boost_rintl
#endif
#ifdef round
#undef round
#endif
#define round boost_round
#ifdef roundf
#undef roundf
#endif
#define roundf boost_roundf
#ifdef roundl
#undef roundl
#endif
#define roundl boost_roundl
#if 0
#ifdef scalbln
#undef scalbln
#endif
#define scalbln boost_scalbln
#ifdef scalblnf
#undef scalblnf
#endif
#define scalblnf boost_scalblnf
#ifdef scalblnl
#undef scalblnl
#endif
#define scalblnl boost_scalblnl
#ifdef scalbn
#undef scalbn
#endif
#define scalbn boost_scalbn
#ifdef scalbnf
#undef scalbnf
#endif
#define scalbnf boost_scalbnf
#ifdef scalbnl
#undef scalbnl
#endif
#define scalbnl boost_scalbnl
#endif
#ifdef tgamma
#undef tgamma
#endif
#define tgamma boost_tgamma
#ifdef tgammaf
#undef tgammaf
#endif
#define tgammaf boost_tgammaf
#ifdef tgammal
#undef tgammal
#endif
#define tgammal boost_tgammal
#ifdef trunc
#undef trunc
#endif
#define trunc boost_trunc
#ifdef truncf
#undef truncf
#endif
#define truncf boost_truncf
#ifdef truncl
#undef truncl
#endif
#define truncl boost_truncl
// [5.2.1.1] associated Laguerre polynomials:
#ifdef assoc_laguerre
#undef assoc_laguerre
#endif
#define assoc_laguerre boost_assoc_laguerre
#ifdef assoc_laguerref
#undef assoc_laguerref
#endif
#define assoc_laguerref boost_assoc_laguerref
#ifdef assoc_laguerrel
#undef assoc_laguerrel
#endif
#define assoc_laguerrel boost_assoc_laguerrel
// [5.2.1.2] associated Legendre functions:
#ifdef assoc_legendre
#undef assoc_legendre
#endif
#define assoc_legendre boost_assoc_legendre
#ifdef assoc_legendref
#undef assoc_legendref
#endif
#define assoc_legendref boost_assoc_legendref
#ifdef assoc_legendrel
#undef assoc_legendrel
#endif
#define assoc_legendrel boost_assoc_legendrel
// [5.2.1.3] beta function:
#ifdef beta
#undef beta
#endif
#define beta boost_beta
#ifdef betaf
#undef betaf
#endif
#define betaf boost_betaf
#ifdef betal
#undef betal
#endif
#define betal boost_betal
// [5.2.1.4] (complete) elliptic integral of the first kind:
#ifdef comp_ellint_1
#undef comp_ellint_1
#endif
#define comp_ellint_1 boost_comp_ellint_1
#ifdef comp_ellint_1f
#undef comp_ellint_1f
#endif
#define comp_ellint_1f boost_comp_ellint_1f
#ifdef comp_ellint_1l
#undef comp_ellint_1l
#endif
#define comp_ellint_1l boost_comp_ellint_1l
// [5.2.1.5] (complete) elliptic integral of the second kind:
#ifdef comp_ellint_2
#undef comp_ellint_2
#endif
#define comp_ellint_2 boost_comp_ellint_2
#ifdef comp_ellint_2f
#undef comp_ellint_2f
#endif
#define comp_ellint_2f boost_comp_ellint_2f
#ifdef comp_ellint_2l
#undef comp_ellint_2l
#endif
#define comp_ellint_2l boost_comp_ellint_2l
// [5.2.1.6] (complete) elliptic integral of the third kind:
#ifdef comp_ellint_3
#undef comp_ellint_3
#endif
#define comp_ellint_3 boost_comp_ellint_3
#ifdef comp_ellint_3f
#undef comp_ellint_3f
#endif
#define comp_ellint_3f boost_comp_ellint_3f
#ifdef comp_ellint_3l
#undef comp_ellint_3l
#endif
#define comp_ellint_3l boost_comp_ellint_3l
#if 0
// [5.2.1.7] confluent hypergeometric functions:
#ifdef conf_hyper
#undef conf_hyper
#endif
#define conf_hyper boost_conf_hyper
#ifdef conf_hyperf
#undef conf_hyperf
#endif
#define conf_hyperf boost_conf_hyperf
#ifdef conf_hyperl
#undef conf_hyperl
#endif
#define conf_hyperl boost_conf_hyperl
#endif
// [5.2.1.8] regular modified cylindrical Bessel functions:
#ifdef cyl_bessel_i
#undef cyl_bessel_i
#endif
#define cyl_bessel_i boost_cyl_bessel_i
#ifdef cyl_bessel_if
#undef cyl_bessel_if
#endif
#define cyl_bessel_if boost_cyl_bessel_if
#ifdef cyl_bessel_il
#undef cyl_bessel_il
#endif
#define cyl_bessel_il boost_cyl_bessel_il
// [5.2.1.9] cylindrical Bessel functions (of the first kind):
#ifdef cyl_bessel_j
#undef cyl_bessel_j
#endif
#define cyl_bessel_j boost_cyl_bessel_j
#ifdef cyl_bessel_jf
#undef cyl_bessel_jf
#endif
#define cyl_bessel_jf boost_cyl_bessel_jf
#ifdef cyl_bessel_jl
#undef cyl_bessel_jl
#endif
#define cyl_bessel_jl boost_cyl_bessel_jl
// [5.2.1.10] irregular modified cylindrical Bessel functions:
#ifdef cyl_bessel_k
#undef cyl_bessel_k
#endif
#define cyl_bessel_k boost_cyl_bessel_k
#ifdef cyl_bessel_kf
#undef cyl_bessel_kf
#endif
#define cyl_bessel_kf boost_cyl_bessel_kf
#ifdef cyl_bessel_kl
#undef cyl_bessel_kl
#endif
#define cyl_bessel_kl boost_cyl_bessel_kl
// [5.2.1.11] cylindrical Neumann functions BOOST_MATH_C99_THROW_SPEC;
// cylindrical Bessel functions (of the second kind):
#ifdef cyl_neumann
#undef cyl_neumann
#endif
#define cyl_neumann boost_cyl_neumann
#ifdef cyl_neumannf
#undef cyl_neumannf
#endif
#define cyl_neumannf boost_cyl_neumannf
#ifdef cyl_neumannl
#undef cyl_neumannl
#endif
#define cyl_neumannl boost_cyl_neumannl
// [5.2.1.12] (incomplete) elliptic integral of the first kind:
#ifdef ellint_1
#undef ellint_1
#endif
#define ellint_1 boost_ellint_1
#ifdef ellint_1f
#undef ellint_1f
#endif
#define ellint_1f boost_ellint_1f
#ifdef ellint_1l
#undef ellint_1l
#endif
#define ellint_1l boost_ellint_1l
// [5.2.1.13] (incomplete) elliptic integral of the second kind:
#ifdef ellint_2
#undef ellint_2
#endif
#define ellint_2 boost_ellint_2
#ifdef ellint_2f
#undef ellint_2f
#endif
#define ellint_2f boost_ellint_2f
#ifdef ellint_2l
#undef ellint_2l
#endif
#define ellint_2l boost_ellint_2l
// [5.2.1.14] (incomplete) elliptic integral of the third kind:
#ifdef ellint_3
#undef ellint_3
#endif
#define ellint_3 boost_ellint_3
#ifdef ellint_3f
#undef ellint_3f
#endif
#define ellint_3f boost_ellint_3f
#ifdef ellint_3l
#undef ellint_3l
#endif
#define ellint_3l boost_ellint_3l
// [5.2.1.15] exponential integral:
#ifdef expint
#undef expint
#endif
#define expint boost_expint
#ifdef expintf
#undef expintf
#endif
#define expintf boost_expintf
#ifdef expintl
#undef expintl
#endif
#define expintl boost_expintl
// [5.2.1.16] Hermite polynomials:
#ifdef hermite
#undef hermite
#endif
#define hermite boost_hermite
#ifdef hermitef
#undef hermitef
#endif
#define hermitef boost_hermitef
#ifdef hermitel
#undef hermitel
#endif
#define hermitel boost_hermitel
#if 0
// [5.2.1.17] hypergeometric functions:
#ifdef hyperg
#undef hyperg
#endif
#define hyperg boost_hyperg
#ifdef hypergf
#undef hypergf
#endif
#define hypergf boost_hypergf
#ifdef hypergl
#undef hypergl
#endif
#define hypergl boost_hypergl
#endif
// [5.2.1.18] Laguerre polynomials:
#ifdef laguerre
#undef laguerre
#endif
#define laguerre boost_laguerre
#ifdef laguerref
#undef laguerref
#endif
#define laguerref boost_laguerref
#ifdef laguerrel
#undef laguerrel
#endif
#define laguerrel boost_laguerrel
// [5.2.1.19] Legendre polynomials:
#ifdef legendre
#undef legendre
#endif
#define legendre boost_legendre
#ifdef legendref
#undef legendref
#endif
#define legendref boost_legendref
#ifdef legendrel
#undef legendrel
#endif
#define legendrel boost_legendrel
// [5.2.1.20] Riemann zeta function:
#ifdef riemann_zeta
#undef riemann_zeta
#endif
#define riemann_zeta boost_riemann_zeta
#ifdef riemann_zetaf
#undef riemann_zetaf
#endif
#define riemann_zetaf boost_riemann_zetaf
#ifdef riemann_zetal
#undef riemann_zetal
#endif
#define riemann_zetal boost_riemann_zetal
// [5.2.1.21] spherical Bessel functions (of the first kind):
#ifdef sph_bessel
#undef sph_bessel
#endif
#define sph_bessel boost_sph_bessel
#ifdef sph_besself
#undef sph_besself
#endif
#define sph_besself boost_sph_besself
#ifdef sph_bessell
#undef sph_bessell
#endif
#define sph_bessell boost_sph_bessell
// [5.2.1.22] spherical associated Legendre functions:
#ifdef sph_legendre
#undef sph_legendre
#endif
#define sph_legendre boost_sph_legendre
#ifdef sph_legendref
#undef sph_legendref
#endif
#define sph_legendref boost_sph_legendref
#ifdef sph_legendrel
#undef sph_legendrel
#endif
#define sph_legendrel boost_sph_legendrel
// [5.2.1.23] spherical Neumann functions BOOST_MATH_C99_THROW_SPEC;
// spherical Bessel functions (of the second kind):
#ifdef sph_neumann
#undef sph_neumann
#endif
#define sph_neumann boost_sph_neumann
#ifdef sph_neumannf
#undef sph_neumannf
#endif
#define sph_neumannf boost_sph_neumannf
#ifdef sph_neumannl
#undef sph_neumannl
#endif
#define sph_neumannl boost_sph_neumannl
#endif // __cplusplus
#endif // BOOST_MATH_TR1_HPP
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