diff options
Diffstat (limited to 'third-party/boost-math/include/boost/math/tr1.hpp')
| -rw-r--r-- | third-party/boost-math/include/boost/math/tr1.hpp | 1121 |
1 files changed, 1121 insertions, 0 deletions
diff --git a/third-party/boost-math/include/boost/math/tr1.hpp b/third-party/boost-math/include/boost/math/tr1.hpp new file mode 100644 index 0000000..0ec947b --- /dev/null +++ b/third-party/boost-math/include/boost/math/tr1.hpp @@ -0,0 +1,1121 @@ +// 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/math/tools/is_standalone.hpp> +#include <boost/math/tools/assert.hpp> + +namespace boost{ namespace math{ namespace tr1{ extern "C"{ + +#endif // __cplusplus + +#ifndef BOOST_MATH_PREVENT_MACRO_SUBSTITUTION +#define BOOST_MATH_PREVENT_MACRO_SUBSTITUTION /**/ +#endif + +// 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: +// Not compatible with standalone mode +// +#ifndef BOOST_MATH_STANDALONE +#include <boost/config.hpp> +#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 +#else // Standalone mode +# if defined(_MSC_VER) && !defined(BOOST_ALL_NO_LIB) +# pragma message("Auto linking of TR1 is not supported in standalone mode") +# endif +#endif // BOOST_MATH_STANDALONE + +#if !(defined(__INTEL_COMPILER) && defined(__APPLE__)) && !(defined(__FLT_EVAL_METHOD__) && !defined(__cplusplus)) +#if !defined(FLT_EVAL_METHOD) +typedef float float_t; +typedef double double_t; +#elif FLT_EVAL_METHOD == -1 +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 +#endif + +// C99 Functions: +double BOOST_MATH_TR1_DECL boost_acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_acoshf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_acoshl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL boost_asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_asinhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_asinhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL boost_atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_atanhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_atanhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL boost_cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_cbrtf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_cbrtl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL boost_copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_copysignf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_copysignl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL boost_erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_erff BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_erfl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL boost_erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_erfcf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_erfcl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; +#if 0 +double BOOST_MATH_TR1_DECL boost_exp2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_exp2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_exp2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; +#endif +double BOOST_MATH_TR1_DECL boost_expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_expm1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_expm1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; +#if 0 +double BOOST_MATH_TR1_DECL boost_fdim BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_fdimf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_fdiml BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; +double BOOST_MATH_TR1_DECL boost_fma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y, double z) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_fmaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y, float z) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_fmal BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_fmaxf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_fmaxl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL boost_fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_fminf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_fminl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL boost_hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_hypotf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_hypotl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; +#if 0 +int BOOST_MATH_TR1_DECL boost_ilogb BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +int BOOST_MATH_TR1_DECL boost_ilogbf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +int BOOST_MATH_TR1_DECL boost_ilogbl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; +#endif +double BOOST_MATH_TR1_DECL boost_lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_lgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_lgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; + +long long BOOST_MATH_TR1_DECL boost_llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +long long BOOST_MATH_TR1_DECL boost_llroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long long BOOST_MATH_TR1_DECL boost_llroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL boost_log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_log1pf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_log1pl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; +#if 0 +double BOOST_MATH_TR1_DECL log2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL log2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL log2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL logb BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL logbf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL logbl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; +long BOOST_MATH_TR1_DECL lrint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +long BOOST_MATH_TR1_DECL lrintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long BOOST_MATH_TR1_DECL lrintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; +#endif +long BOOST_MATH_TR1_DECL boost_lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +long BOOST_MATH_TR1_DECL boost_lroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long BOOST_MATH_TR1_DECL boost_lroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; +#if 0 +double BOOST_MATH_TR1_DECL nan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL nanf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL nanl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC; +double BOOST_MATH_TR1_DECL nearbyint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL nearbyintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL nearbyintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; +#endif +double BOOST_MATH_TR1_DECL boost_nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_nextafterf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_nextafterl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL boost_nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, long double y) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_nexttowardf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, long double y) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_nexttowardl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; +#if 0 +double BOOST_MATH_TR1_DECL boost_remainder BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_remainderf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_remainderl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; +double BOOST_MATH_TR1_DECL boost_remquo BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y, int *pquo) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_remquof BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y, int *pquo) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_remquol BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, int *pquo) BOOST_MATH_C99_THROW_SPEC; +double BOOST_MATH_TR1_DECL boost_rint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_rintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_rintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; +#endif +double BOOST_MATH_TR1_DECL boost_round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_roundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_roundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; +#if 0 +double BOOST_MATH_TR1_DECL boost_scalbln BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, long ex) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_scalblnf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, long ex) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_scalblnl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long ex) BOOST_MATH_C99_THROW_SPEC; +double BOOST_MATH_TR1_DECL boost_scalbn BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, int ex) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_scalbnf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, int ex) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_scalbnl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, int ex) BOOST_MATH_C99_THROW_SPEC; +#endif +double BOOST_MATH_TR1_DECL boost_tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_tgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_tgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; + +double BOOST_MATH_TR1_DECL boost_trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_truncf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_truncl BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_assoc_laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_assoc_laguerrel BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_assoc_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_assoc_legendrel BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_betaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_betal BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double k) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_comp_ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_comp_ellint_1l BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double k) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_comp_ellint_2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_comp_ellint_2l BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double nu) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_comp_ellint_3f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float nu) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_comp_ellint_3l BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double a, double c, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL conf_hypergf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float a, float c, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL conf_hypergl BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_cyl_bessel_if BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_cyl_bessel_il BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_cyl_bessel_jf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_cyl_bessel_jl BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_cyl_bessel_kf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_cyl_bessel_kl BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_cyl_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_cyl_neumannl BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_ellint_1l BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_ellint_2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_ellint_2l BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double nu, double phi) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_ellint_3f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_ellint_3l BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_expintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_expintl BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_hermitef BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_hermitel BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double a, double b, double c, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL hypergf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float a, float b, float c, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL hypergl BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_laguerrel BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_legendrel BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_riemann_zetaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_riemann_zetal BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_sph_besself BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_sph_bessell BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double theta) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_sph_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_sph_legendrel BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC; +float BOOST_MATH_TR1_DECL boost_sph_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC; +long double BOOST_MATH_TR1_DECL boost_sph_neumannl BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float acoshf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_acoshf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double acoshl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_acoshl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::acoshf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::acoshl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } + +inline double asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float asinhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_asinhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double asinhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_asinhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::asinhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::asinhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } + +inline double atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float atanhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_atanhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double atanhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_atanhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::atanhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::atanhl(x); } +template <class T> +inline typename tools::promote_args<T>::type atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } + +inline double cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float cbrtf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_cbrtf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double cbrtl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_cbrtl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::cbrtf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::cbrtl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } + +inline double copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) +{ return boost::math::tr1::boost_copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline float copysignf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::boost_copysignf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double copysignl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::boost_copysignl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline float copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::copysignf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::copysignl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) +{ return boost::math::tr1::copysign BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float erff BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_erff BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double erfl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_erfl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::erff BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::erfl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } + +inline double erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float erfcf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_erfcf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double erfcl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_erfcl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::erfcf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::erfcl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } + +#if 0 +double exp2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x); +float exp2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x); +long double exp2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x); +#endif + +inline float expm1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_expm1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline double expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double expm1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_expm1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::expm1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::expm1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } + +#if 0 +double fdim BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y); +float fdimf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y); +long double fdiml BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y); +double fma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y, double z); +float fmaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y, float z); +long double fmal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, long double z); +#endif +inline double fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) +{ return boost::math::tr1::boost_fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline float fmaxf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::boost_fmaxf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double fmaxl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::boost_fmaxl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline float fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::fmaxf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::fmaxl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) +{ return boost::math::tr1::fmax BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) +{ return boost::math::tr1::boost_fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline float fminf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::boost_fminf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double fminl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::boost_fminl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline float fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::fminf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::fminl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) +{ return boost::math::tr1::fmin BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::boost_hypotf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline double hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) +{ return boost::math::tr1::boost_hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double hypotl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::boost_hypotl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline float hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::hypotf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::hypotl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) +{ return boost::math::tr1::hypot BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(double x); +int ilogbf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x); +int ilogbl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x); +#endif + +inline float lgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_lgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline double lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double lgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_lgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::lgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::lgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } + +#ifdef BOOST_HAS_LONG_LONG +#if 0 +long long llrint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x); +long long llrintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x); +long long llrintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x); +#endif + +inline long long llroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_llroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long long llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long long llroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_llroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long long llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::llroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long long llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::llroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline long long llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<double>(x)); } +#endif + +inline float log1pf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_log1pf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline double log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double log1pl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_log1pl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::log1pf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::log1pl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } +#if 0 +double log2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x); +float log2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x); +long double log2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x); + +double logb BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x); +float logbf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x); +long double logbl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x); +long lrint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x); +long lrintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x); +long lrintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x); +#endif +inline long lroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_lroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long lroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_lroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::lroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::lroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +long lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<double>(x)); } +#if 0 +double nan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str); +float nanf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str); +long double nanl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str); +double nearbyint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x); +float nearbyintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x); +long double nearbyintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x); +#endif +inline float nextafterf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::boost_nextafterf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline double nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) +{ return boost::math::tr1::boost_nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double nextafterl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::boost_nextafterl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline float nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::nextafterf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::nextafterl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) +{ return boost::math::tr1::nextafter BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::boost_nexttowardf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline double nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) +{ return boost::math::tr1::boost_nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double nexttowardl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::boost_nexttowardl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline float nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::nexttowardf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::nexttowardl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) +{ return static_cast<typename tools::promote_args<T1, T2>::type>(boost::math::tr1::nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<long double>(y))); } +#if 0 +double remainder BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y); +float remainderf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y); +long double remainderl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y); +double remquo BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y, int *pquo); +float remquof BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y, int *pquo); +long double remquol BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, int *pquo); +double rint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x); +float rintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x); +long double rintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x); +#endif +inline float roundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_roundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline double round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double roundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_roundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::roundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::roundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } +#if 0 +double scalbln BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, long ex); +float scalblnf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, long ex); +long double scalblnl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long ex); +double scalbn BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, int ex); +float scalbnf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, int ex); +long double scalbnl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, int ex); +#endif +inline float tgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_tgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline double tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double tgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_tgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::tgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::tgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } + +inline float truncf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_truncf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline double trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double truncl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_truncl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::truncf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::truncl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::trunc BOOST_MATH_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) +{ static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); 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) +{ static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); 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) +{ static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); 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) +{ static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); 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) +{ static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); 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) +{ static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); 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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x) +{ return boost::math::tr1::boost_assoc_laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, m, x); } +inline double assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, double x) +{ return boost::math::tr1::boost_assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, m, x); } +inline long double assoc_laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x) +{ return boost::math::tr1::boost_assoc_laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, m, x); } +inline float assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x) +{ return boost::math::tr1::assoc_laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, m, x); } +inline long double assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x) +{ return boost::math::tr1::assoc_laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, m, x); } +template <class T> +inline typename tools::promote_args<T>::type assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, T x) +{ return boost::math::tr1::assoc_laguerre BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x) +{ return boost::math::tr1::boost_assoc_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, x); } +inline double assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double x) +{ return boost::math::tr1::boost_assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, x); } +inline long double assoc_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x) +{ return boost::math::tr1::boost_assoc_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, x); } +inline float assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x) +{ return boost::math::tr1::assoc_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, x); } +inline long double assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x) +{ return boost::math::tr1::assoc_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, x); } +template <class T> +inline typename tools::promote_args<T>::type assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, T x) +{ return boost::math::tr1::assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, static_cast<typename tools::promote_args<T>::type>(x)); } + +// [5.2.1.3] beta function: +inline float betaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::boost_betaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline double beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) +{ return boost::math::tr1::boost_beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double betal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::boost_betal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline float beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) +{ return boost::math::tr1::betaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +inline long double beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) +{ return boost::math::tr1::betal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T2 x, T1 y) +{ return boost::math::tr1::beta BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float k) +{ return boost::math::tr1::boost_comp_ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k); } +inline double comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k) +{ return boost::math::tr1::boost_comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k); } +inline long double comp_ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k) +{ return boost::math::tr1::boost_comp_ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k); } +inline float comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k) +{ return boost::math::tr1::comp_ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k); } +inline long double comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k) +{ return boost::math::tr1::comp_ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k); } +template <class T> +inline typename tools::promote_args<T>::type comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T k) +{ return boost::math::tr1::comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(k)); } + +// [5.2.1.5] (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_MATH_PREVENT_MACRO_SUBSTITUTION(k)); } + +// [5.2.1.6] (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_MATH_PREVENT_MACRO_SUBSTITUTION(k), static_cast<typename tools::promote_args<T1, T2>::type> BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu)); } + +#if 0 +// [5.2.1.7] confluent hypergeometric functions: +double conf_hyperg BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double a, double c, double x); +float conf_hypergf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float a, float c, float x); +long double conf_hypergl BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) +{ return boost::math::tr1::boost_cyl_bessel_if BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline double cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) +{ return boost::math::tr1::boost_cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline long double cyl_bessel_il BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) +{ return boost::math::tr1::boost_cyl_bessel_il BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline float cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) +{ return boost::math::tr1::cyl_bessel_if BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline long double cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) +{ return boost::math::tr1::cyl_bessel_il BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x) +{ return boost::math::tr1::cyl_bessel_i BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) +{ return boost::math::tr1::boost_cyl_bessel_jf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline double cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) +{ return boost::math::tr1::boost_cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline long double cyl_bessel_jl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) +{ return boost::math::tr1::boost_cyl_bessel_jl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline float cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) +{ return boost::math::tr1::cyl_bessel_jf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline long double cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) +{ return boost::math::tr1::cyl_bessel_jl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x) +{ return boost::math::tr1::cyl_bessel_j BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) +{ return boost::math::tr1::boost_cyl_bessel_kf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline double cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) +{ return boost::math::tr1::boost_cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline long double cyl_bessel_kl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) +{ return boost::math::tr1::boost_cyl_bessel_kl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline float cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) +{ return boost::math::tr1::cyl_bessel_kf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline long double cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) +{ return boost::math::tr1::cyl_bessel_kl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x) +{ return boost::math::tr1::cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type> BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) +{ return boost::math::tr1::boost_cyl_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline double cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) +{ return boost::math::tr1::boost_cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline long double cyl_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) +{ return boost::math::tr1::boost_cyl_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline float cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) +{ return boost::math::tr1::cyl_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +inline long double cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) +{ return boost::math::tr1::cyl_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x) +{ return boost::math::tr1::cyl_neumann BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi) +{ return boost::math::tr1::boost_ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); } +inline double ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double phi) +{ return boost::math::tr1::boost_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); } +inline long double ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) +{ return boost::math::tr1::boost_ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); } +inline float ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi) +{ return boost::math::tr1::ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); } +inline long double ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) +{ return boost::math::tr1::ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 phi) +{ return boost::math::tr1::ellint_1 BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi) +{ return boost::math::tr1::boost_ellint_2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); } +inline double ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double phi) +{ return boost::math::tr1::boost_ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); } +inline long double ellint_2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) +{ return boost::math::tr1::boost_ellint_2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); } +inline float ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi) +{ return boost::math::tr1::ellint_2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); } +inline long double ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) +{ return boost::math::tr1::ellint_2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); } +template <class T1, class T2> +inline typename tools::promote_args<T1, T2>::type ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 phi) +{ return boost::math::tr1::ellint_2 BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi) +{ return boost::math::tr1::boost_ellint_3f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); } +inline double ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double nu, double phi) +{ return boost::math::tr1::boost_ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); } +inline long double ellint_3l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi) +{ return boost::math::tr1::boost_ellint_3l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); } +inline float ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi) +{ return boost::math::tr1::ellint_3f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); } +inline long double ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi) +{ return boost::math::tr1::ellint_3l BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 nu, T3 phi) +{ return boost::math::tr1::ellint_3 BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::boost_expintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline double expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) +{ return boost::math::tr1::boost_expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double expintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::boost_expintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline float expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) +{ return boost::math::tr1::expintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +inline long double expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) +{ return boost::math::tr1::expintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); } +template <class T> +inline typename tools::promote_args<T>::type expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) +{ return boost::math::tr1::expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); } + +// [5.2.1.16] Hermite polynomials: +inline float hermitef BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) +{ return boost::math::tr1::boost_hermitef BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline double hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) +{ return boost::math::tr1::boost_hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline long double hermitel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) +{ return boost::math::tr1::boost_hermitel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline float hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) +{ return boost::math::tr1::hermitef BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline long double hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) +{ return boost::math::tr1::hermitel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +template <class T> +inline typename tools::promote_args<T>::type hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x) +{ return boost::math::tr1::hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); } + +#if 0 +// [5.2.1.17] hypergeometric functions: +double hyperg BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double a, double b, double c, double x); +float hypergf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float a, float b, float c, float x); +long double hypergl BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) +{ return boost::math::tr1::boost_laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline double laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) +{ return boost::math::tr1::boost_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline long double laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) +{ return boost::math::tr1::boost_laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline float laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) +{ return boost::math::tr1::laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline long double laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) +{ return boost::math::tr1::laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +template <class T> +inline typename tools::promote_args<T>::type laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x) +{ return boost::math::tr1::laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); } + +// [5.2.1.19] Legendre polynomials: +inline float legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x) +{ return boost::math::tr1::boost_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, x); } +inline double legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, double x) +{ return boost::math::tr1::boost_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, x); } +inline long double legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, long double x) +{ return boost::math::tr1::boost_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, x); } +inline float legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x) +{ return boost::math::tr1::legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, x); } +inline long double legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, long double x) +{ return boost::math::tr1::legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, x); } +template <class T> +inline typename tools::promote_args<T>::type legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, T x) +{ return boost::math::tr1::legendre BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(float z) +{ return boost::math::tr1::boost_riemann_zetaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(z); } +inline double riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double z) +{ return boost::math::tr1::boost_riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(z); } +inline long double riemann_zetal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double z) +{ return boost::math::tr1::boost_riemann_zetal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(z); } +inline float riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float z) +{ return boost::math::tr1::riemann_zetaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(z); } +inline long double riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double z) +{ return boost::math::tr1::riemann_zetal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(z); } +template <class T> +inline typename tools::promote_args<T>::type riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T z) +{ return boost::math::tr1::riemann_zeta BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) +{ return boost::math::tr1::boost_sph_besself BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline double sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) +{ return boost::math::tr1::boost_sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline long double sph_bessell BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) +{ return boost::math::tr1::boost_sph_bessell BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline float sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) +{ return boost::math::tr1::sph_besself BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline long double sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) +{ return boost::math::tr1::sph_bessell BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +template <class T> +inline typename tools::promote_args<T>::type sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x) +{ return boost::math::tr1::sph_bessel BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta) +{ return boost::math::tr1::boost_sph_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, theta); } +inline double sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double theta) +{ return boost::math::tr1::boost_sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, theta); } +inline long double sph_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double theta) +{ return boost::math::tr1::boost_sph_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, theta); } +inline float sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta) +{ return boost::math::tr1::sph_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, theta); } +inline long double sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double theta) +{ return boost::math::tr1::sph_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, theta); } +template <class T> +inline typename tools::promote_args<T>::type sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, T theta) +{ return boost::math::tr1::sph_legendre BOOST_MATH_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_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) +{ return boost::math::tr1::boost_sph_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline double sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) +{ return boost::math::tr1::boost_sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline long double sph_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) +{ return boost::math::tr1::boost_sph_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline float sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) +{ return boost::math::tr1::sph_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +inline long double sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) +{ return boost::math::tr1::sph_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); } +template <class T> +inline typename tools::promote_args<T>::type sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x) +{ return boost::math::tr1::sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); } + +}}} // namespaces + +#else // __cplusplus + +#include <boost/math/tr1_c_macros.ipp> + +#endif // __cplusplus + +#endif // BOOST_MATH_TR1_HPP + |