// 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 // So we can check which std C lib we're using #ifdef __cplusplus #include #include namespace boost{ namespace math{ namespace tr1{ extern "C"{ #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 #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 #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 #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 #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 #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 #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 acosh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL acoshf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL acoshl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL asinh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL asinhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL asinhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL atanh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL atanhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL atanhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL cbrtf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL cbrtl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL copysign BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL copysignf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL copysignl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL erf BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL erff BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL erfl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL erfc BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL erfcf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL erfcl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; #if 0 double BOOST_MATH_TR1_DECL exp2 BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL exp2f BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 fdim BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL fdimf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL fdiml BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL fma BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y, double z) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL fmaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y, float z) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 fmax BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL fmaxf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL fmaxl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL fmin BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL fminf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL fminl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL hypot BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL hypotf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL hypotl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; #if 0 int BOOST_MATH_TR1_DECL ilogb BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; int BOOST_MATH_TR1_DECL ilogbf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; int BOOST_MATH_TR1_DECL ilogbl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; #endif double BOOST_MATH_TR1_DECL lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL lgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 llrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; ::boost::long_long_type BOOST_MATH_TR1_DECL llrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; ::boost::long_long_type BOOST_MATH_TR1_DECL llrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; #endif ::boost::long_long_type BOOST_MATH_TR1_DECL llround BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; ::boost::long_long_type BOOST_MATH_TR1_DECL llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; ::boost::long_long_type BOOST_MATH_TR1_DECL 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 lround BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; long BOOST_MATH_TR1_DECL lroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long BOOST_MATH_TR1_DECL 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 nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(double x, long double y) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL nexttowardf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, long double y) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL nexttowardl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; #if 0 double BOOST_MATH_TR1_DECL remainder BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL remainderf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL remainderl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL remquo BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y, int *pquo) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL remquof BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y, int *pquo) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL remquol BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, int *pquo) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL rint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL rintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL rintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; #endif double BOOST_MATH_TR1_DECL round BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL roundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL roundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; #if 0 double BOOST_MATH_TR1_DECL scalbln BOOST_PREVENT_MACRO_SUBSTITUTION(double x, long ex) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL scalblnf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, long ex) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL scalblnl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long ex) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL scalbn BOOST_PREVENT_MACRO_SUBSTITUTION(double x, int ex) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL scalbnf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, int ex) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL scalbnl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, int ex) BOOST_MATH_C99_THROW_SPEC; #endif double BOOST_MATH_TR1_DECL tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL tgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL tgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; double BOOST_MATH_TR1_DECL trunc BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL truncf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL assoc_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL assoc_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 beta BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL betaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double k) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL comp_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float k) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 comp_ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(double k) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL comp_ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(float k) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 comp_ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double nu) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL comp_ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL cyl_bessel_if BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL cyl_bessel_jf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL cyl_bessel_kf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL cyl_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double nu, double phi) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 expint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL expintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL expintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC; // [5.2.1.16] Hermite polynomials: double BOOST_MATH_TR1_DECL hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL hermitef BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(double) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL riemann_zetaf BOOST_PREVENT_MACRO_SUBSTITUTION(float) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL sph_besself BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double theta) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL sph_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL 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 sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC; float BOOST_MATH_TR1_DECL sph_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC; long double BOOST_MATH_TR1_DECL sph_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC; #ifdef __cplusplus }}}} // namespaces #include namespace boost{ namespace math{ namespace tr1{ // // Declare overload of the functions which forward to the // C interfaces: // // C99 Functions: 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 inline typename tools::promote_args::type acosh BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::acosh BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(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 inline typename tools::promote_args::type asinh BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::asinh BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(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 inline typename tools::promote_args::type atanh BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::atanh BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(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 inline typename tools::promote_args::type cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(x)); } 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 inline typename tools::promote_args::type copysign BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) { return boost::math::tr1::copysign BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(x), static_cast::type>(y)); } 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 inline typename tools::promote_args::type erf BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::erf BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(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 inline typename tools::promote_args::type erfc BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::erfc BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::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 inline typename tools::promote_args::type expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::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 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 inline typename tools::promote_args::type fmax BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) { return boost::math::tr1::fmax BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(x), static_cast::type>(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 inline typename tools::promote_args::type fmin BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) { return boost::math::tr1::fmin BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(x), static_cast::type>(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 inline typename tools::promote_args::type hypot BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) { return boost::math::tr1::hypot BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(x), static_cast::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 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 inline typename tools::promote_args::type lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::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 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 inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return llround BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast(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 inline typename tools::promote_args::type log1p BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::log1p BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::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 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 long lround BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::lround BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast(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 inline typename tools::promote_args::type nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) { return boost::math::tr1::nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(x), static_cast::type>(y)); } inline float nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(float x, long double 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 inline typename tools::promote_args::type nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y) { return boost::math::tr1::nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(x), static_cast(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 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 inline typename tools::promote_args::type round BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::round BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::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 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 inline typename tools::promote_args::type tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(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 inline typename tools::promote_args::type trunc BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::trunc BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(x)); } # define NO_MACRO_EXPAND /**/ // C99 macros defined as C++ templates template 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 NO_MACRO_EXPAND(float x); template<> bool BOOST_MATH_TR1_DECL signbit NO_MACRO_EXPAND(double x); template<> bool BOOST_MATH_TR1_DECL signbit NO_MACRO_EXPAND(long double x); template 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 NO_MACRO_EXPAND(float x); template<> int BOOST_MATH_TR1_DECL fpclassify NO_MACRO_EXPAND(double x); template<> int BOOST_MATH_TR1_DECL fpclassify NO_MACRO_EXPAND(long double x); template 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 NO_MACRO_EXPAND(float x); template<> bool BOOST_MATH_TR1_DECL isfinite NO_MACRO_EXPAND(double x); template<> bool BOOST_MATH_TR1_DECL isfinite NO_MACRO_EXPAND(long double x); template 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 NO_MACRO_EXPAND(float x); template<> bool BOOST_MATH_TR1_DECL isinf NO_MACRO_EXPAND(double x); template<> bool BOOST_MATH_TR1_DECL isinf NO_MACRO_EXPAND(long double x); template 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 NO_MACRO_EXPAND(float x); template<> bool BOOST_MATH_TR1_DECL isnan NO_MACRO_EXPAND(double x); template<> bool BOOST_MATH_TR1_DECL isnan NO_MACRO_EXPAND(long double x); template 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 NO_MACRO_EXPAND(float x); template<> bool BOOST_MATH_TR1_DECL isnormal NO_MACRO_EXPAND(double x); template<> bool BOOST_MATH_TR1_DECL isnormal NO_MACRO_EXPAND(long double x); #undef NO_MACRO_EXPAND // [5.2.1.1] associated Laguerre polynomials: 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 inline typename tools::promote_args::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::type>(x)); } // [5.2.1.2] associated Legendre functions: 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 inline typename tools::promote_args::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::type>(x)); } // [5.2.1.3] beta function: 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 inline typename tools::promote_args::type beta BOOST_PREVENT_MACRO_SUBSTITUTION(T2 x, T1 y) { return boost::math::tr1::beta BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(x), static_cast::type>(y)); } // [5.2.1.4] (complete) elliptic integral of the first kind: 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 inline typename tools::promote_args::type comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(T k) { return boost::math::tr1::comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(k)); } // [5.2.1.5] BOOST_PREVENT_MACRO_SUBSTITUTION(complete) elliptic integral of the second kind: 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 inline typename tools::promote_args::type comp_ellint_2(T k) { return boost::math::tr1::comp_ellint_2(static_cast::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_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 inline typename tools::promote_args::type comp_ellint_3(T1 k, T2 nu) { return boost::math::tr1::comp_ellint_3(static_cast::type> BOOST_PREVENT_MACRO_SUBSTITUTION(k), static_cast::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_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 inline typename tools::promote_args::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::type>(nu), static_cast::type>(x)); } // [5.2.1.9] cylindrical Bessel functions (of the first kind): 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 inline typename tools::promote_args::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::type>(nu), static_cast::type>(x)); } // [5.2.1.10] irregular modified cylindrical Bessel functions: 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 inline typename tools::promote_args::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::type> BOOST_PREVENT_MACRO_SUBSTITUTION(nu), static_cast::type>(x)); } // [5.2.1.11] cylindrical Neumann functions; // cylindrical Bessel functions (of the second kind): 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 inline typename tools::promote_args::type cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x) { return boost::math::tr1::cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(nu), static_cast::type>(x)); } // [5.2.1.12] (incomplete) elliptic integral of the first kind: 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 inline typename tools::promote_args::type ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 phi) { return boost::math::tr1::ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(k), static_cast::type>(phi)); } // [5.2.1.13] (incomplete) elliptic integral of the second kind: 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 inline typename tools::promote_args::type ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 phi) { return boost::math::tr1::ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(k), static_cast::type>(phi)); } // [5.2.1.14] (incomplete) elliptic integral of the third kind: 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 inline typename tools::promote_args::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::type>(k), static_cast::type>(nu), static_cast::type>(phi)); } // [5.2.1.15] exponential integral: 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 inline typename tools::promote_args::type expint BOOST_PREVENT_MACRO_SUBSTITUTION(T x) { return boost::math::tr1::expint BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(x)); } // [5.2.1.16] Hermite polynomials: 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 inline typename tools::promote_args::type hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x) { return boost::math::tr1::hermite BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast::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 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 inline typename tools::promote_args::type laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x) { return boost::math::tr1::laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast::type>(x)); } // [5.2.1.19] Legendre polynomials: 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 inline typename tools::promote_args::type legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, T x) { return boost::math::tr1::legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, static_cast::type>(x)); } // [5.2.1.20] Riemann zeta function: 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 inline typename tools::promote_args::type riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(T z) { return boost::math::tr1::riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast::type>(z)); } // [5.2.1.21] spherical Bessel functions (of the first kind): 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 inline typename tools::promote_args::type sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x) { return boost::math::tr1::sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast::type>(x)); } // [5.2.1.22] spherical associated Legendre functions: 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 inline typename tools::promote_args::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::type>(theta)); } // [5.2.1.23] spherical Neumann functions; // spherical Bessel functions (of the second kind): 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 inline typename tools::promote_args::type sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x) { return boost::math::tr1::sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast::type>(x)); } }}} // namespaces #endif // __cplusplus #endif // BOOST_MATH_TR1_HPP