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1// Copyright John Maddock 2008.
2// Use, modification and distribution are subject to the
3// Boost Software License, Version 1.0.
4// (See accompanying file LICENSE_1_0.txt
5// or copy at http://www.boost.org/LICENSE_1_0.txt)
6
7#ifndef BOOST_MATH_TR1_HPP
8#define BOOST_MATH_TR1_HPP
9
10#ifdef _MSC_VER
11#pragma once
12#endif
13
14#include <math.h> // So we can check which std C lib we're using
15
16#ifdef __cplusplus
17
18#include <boost/config.hpp>
19#include <boost/static_assert.hpp>
20
21namespace boost{ namespace math{ namespace tr1{ extern "C"{
22
23#else
24
25#define BOOST_PREVENT_MACRO_SUBSTITUTION /**/
26
27#endif // __cplusplus
28
29// we need to import/export our code only if the user has specifically
30// asked for it by defining either BOOST_ALL_DYN_LINK if they want all boost
31// libraries to be dynamically linked, or BOOST_MATH_TR1_DYN_LINK
32// if they want just this one to be dynamically liked:
33#if defined(BOOST_ALL_DYN_LINK) || defined(BOOST_MATH_TR1_DYN_LINK)
34// export if this is our own source, otherwise import:
35#ifdef BOOST_MATH_TR1_SOURCE
36# define BOOST_MATH_TR1_DECL BOOST_SYMBOL_EXPORT
37#else
38# define BOOST_MATH_TR1_DECL BOOST_SYMBOL_IMPORT
39#endif // BOOST_MATH_TR1_SOURCE
40#else
41# define BOOST_MATH_TR1_DECL
42#endif // DYN_LINK
43//
44// Set any throw specifications on the C99 extern "C" functions - these have to be
45// the same as used in the std lib if any.
46//
47#if defined(__GLIBC__) && defined(__THROW)
48# define BOOST_MATH_C99_THROW_SPEC __THROW
49#else
50# define BOOST_MATH_C99_THROW_SPEC
51#endif
52
53//
54// Now set up the libraries to link against:
55//
56#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
57 && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
58# define BOOST_LIB_NAME boost_math_c99
59# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
60# define BOOST_DYN_LINK
61# endif
62# include <boost/config/auto_link.hpp>
63#endif
64#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
65 && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
66# define BOOST_LIB_NAME boost_math_c99f
67# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
68# define BOOST_DYN_LINK
69# endif
70# include <boost/config/auto_link.hpp>
71#endif
72#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
73 && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus) \
74 && !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
75# define BOOST_LIB_NAME boost_math_c99l
76# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
77# define BOOST_DYN_LINK
78# endif
79# include <boost/config/auto_link.hpp>
80#endif
81#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
82 && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
83# define BOOST_LIB_NAME boost_math_tr1
84# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
85# define BOOST_DYN_LINK
86# endif
87# include <boost/config/auto_link.hpp>
88#endif
89#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
90 && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
91# define BOOST_LIB_NAME boost_math_tr1f
92# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
93# define BOOST_DYN_LINK
94# endif
95# include <boost/config/auto_link.hpp>
96#endif
97#if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
98 && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus) \
99 && !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
100# define BOOST_LIB_NAME boost_math_tr1l
101# if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
102# define BOOST_DYN_LINK
103# endif
104# include <boost/config/auto_link.hpp>
105#endif
106
107#if !(defined(BOOST_INTEL) && defined(__APPLE__)) && !(defined(__FLT_EVAL_METHOD__) && !defined(__cplusplus))
108#if !defined(FLT_EVAL_METHOD)
109typedef float float_t;
110typedef double double_t;
111#elif FLT_EVAL_METHOD == -1
112typedef float float_t;
113typedef double double_t;
114#elif FLT_EVAL_METHOD == 0
115typedef float float_t;
116typedef double double_t;
117#elif FLT_EVAL_METHOD == 1
118typedef double float_t;
119typedef double double_t;
120#else
121typedef long double float_t;
122typedef long double double_t;
123#endif
124#endif
125
126// C99 Functions:
127double BOOST_MATH_TR1_DECL boost_acosh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
128float BOOST_MATH_TR1_DECL boost_acoshf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
129long double BOOST_MATH_TR1_DECL boost_acoshl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
130
131double BOOST_MATH_TR1_DECL boost_asinh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
132float BOOST_MATH_TR1_DECL boost_asinhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
133long double BOOST_MATH_TR1_DECL boost_asinhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
134
135double BOOST_MATH_TR1_DECL boost_atanh BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
136float BOOST_MATH_TR1_DECL boost_atanhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
137long double BOOST_MATH_TR1_DECL boost_atanhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
138
139double BOOST_MATH_TR1_DECL boost_cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
140float BOOST_MATH_TR1_DECL boost_cbrtf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
141long double BOOST_MATH_TR1_DECL boost_cbrtl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
142
143double BOOST_MATH_TR1_DECL boost_copysign BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
144float BOOST_MATH_TR1_DECL boost_copysignf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
145long double BOOST_MATH_TR1_DECL boost_copysignl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
146
147double BOOST_MATH_TR1_DECL boost_erf BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
148float BOOST_MATH_TR1_DECL boost_erff BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
149long double BOOST_MATH_TR1_DECL boost_erfl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
150
151double BOOST_MATH_TR1_DECL boost_erfc BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
152float BOOST_MATH_TR1_DECL boost_erfcf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
153long double BOOST_MATH_TR1_DECL boost_erfcl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
154#if 0
155double BOOST_MATH_TR1_DECL boost_exp2 BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
156float BOOST_MATH_TR1_DECL boost_exp2f BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
157long double BOOST_MATH_TR1_DECL boost_exp2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
158#endif
159double BOOST_MATH_TR1_DECL boost_expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
160float BOOST_MATH_TR1_DECL boost_expm1f BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
161long double BOOST_MATH_TR1_DECL boost_expm1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
162#if 0
163double BOOST_MATH_TR1_DECL boost_fdim BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
164float BOOST_MATH_TR1_DECL boost_fdimf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
165long double BOOST_MATH_TR1_DECL boost_fdiml BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
166double BOOST_MATH_TR1_DECL boost_fma BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y, double z) BOOST_MATH_C99_THROW_SPEC;
167float BOOST_MATH_TR1_DECL boost_fmaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y, float z) BOOST_MATH_C99_THROW_SPEC;
168long double BOOST_MATH_TR1_DECL boost_fmal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, long double z) BOOST_MATH_C99_THROW_SPEC;
169#endif
170double BOOST_MATH_TR1_DECL boost_fmax BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
171float BOOST_MATH_TR1_DECL boost_fmaxf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
172long double BOOST_MATH_TR1_DECL boost_fmaxl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
173
174double BOOST_MATH_TR1_DECL boost_fmin BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
175float BOOST_MATH_TR1_DECL boost_fminf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
176long double BOOST_MATH_TR1_DECL boost_fminl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
177
178double BOOST_MATH_TR1_DECL boost_hypot BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
179float BOOST_MATH_TR1_DECL boost_hypotf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
180long double BOOST_MATH_TR1_DECL boost_hypotl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
181#if 0
182int BOOST_MATH_TR1_DECL boost_ilogb BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
183int BOOST_MATH_TR1_DECL boost_ilogbf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
184int BOOST_MATH_TR1_DECL boost_ilogbl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
185#endif
186double BOOST_MATH_TR1_DECL boost_lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
187float BOOST_MATH_TR1_DECL boost_lgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
188long double BOOST_MATH_TR1_DECL boost_lgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
189#ifdef BOOST_HAS_LONG_LONG
190#if 0
191::boost::long_long_type BOOST_MATH_TR1_DECL boost_llrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
192::boost::long_long_type BOOST_MATH_TR1_DECL boost_llrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
193::boost::long_long_type BOOST_MATH_TR1_DECL boost_llrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
194#endif
195::boost::long_long_type BOOST_MATH_TR1_DECL boost_llround BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
196::boost::long_long_type BOOST_MATH_TR1_DECL boost_llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
197::boost::long_long_type BOOST_MATH_TR1_DECL boost_llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
198#endif
199double BOOST_MATH_TR1_DECL boost_log1p BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
200float BOOST_MATH_TR1_DECL boost_log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
201long double BOOST_MATH_TR1_DECL boost_log1pl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
202#if 0
203double BOOST_MATH_TR1_DECL log2 BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
204float BOOST_MATH_TR1_DECL log2f BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
205long double BOOST_MATH_TR1_DECL log2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
206
207double BOOST_MATH_TR1_DECL logb BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
208float BOOST_MATH_TR1_DECL logbf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
209long double BOOST_MATH_TR1_DECL logbl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
210long BOOST_MATH_TR1_DECL lrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
211long BOOST_MATH_TR1_DECL lrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
212long BOOST_MATH_TR1_DECL lrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
213#endif
214long BOOST_MATH_TR1_DECL boost_lround BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
215long BOOST_MATH_TR1_DECL boost_lroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
216long BOOST_MATH_TR1_DECL boost_lroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
217#if 0
218double BOOST_MATH_TR1_DECL nan BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC;
219float BOOST_MATH_TR1_DECL nanf BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC;
220long double BOOST_MATH_TR1_DECL nanl BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC;
221double BOOST_MATH_TR1_DECL nearbyint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
222float BOOST_MATH_TR1_DECL nearbyintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
223long double BOOST_MATH_TR1_DECL nearbyintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
224#endif
225double BOOST_MATH_TR1_DECL boost_nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
226float BOOST_MATH_TR1_DECL boost_nextafterf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
227long double BOOST_MATH_TR1_DECL boost_nextafterl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
228
229double BOOST_MATH_TR1_DECL boost_nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(double x, long double y) BOOST_MATH_C99_THROW_SPEC;
230float BOOST_MATH_TR1_DECL boost_nexttowardf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, long double y) BOOST_MATH_C99_THROW_SPEC;
231long double BOOST_MATH_TR1_DECL boost_nexttowardl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
232#if 0
233double BOOST_MATH_TR1_DECL boost_remainder BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
234float BOOST_MATH_TR1_DECL boost_remainderf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
235long double BOOST_MATH_TR1_DECL boost_remainderl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
236double BOOST_MATH_TR1_DECL boost_remquo BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y, int *pquo) BOOST_MATH_C99_THROW_SPEC;
237float BOOST_MATH_TR1_DECL boost_remquof BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y, int *pquo) BOOST_MATH_C99_THROW_SPEC;
238long double BOOST_MATH_TR1_DECL boost_remquol BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, int *pquo) BOOST_MATH_C99_THROW_SPEC;
239double BOOST_MATH_TR1_DECL boost_rint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
240float BOOST_MATH_TR1_DECL boost_rintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
241long double BOOST_MATH_TR1_DECL boost_rintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
242#endif
243double BOOST_MATH_TR1_DECL boost_round BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
244float BOOST_MATH_TR1_DECL boost_roundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
245long double BOOST_MATH_TR1_DECL boost_roundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
246#if 0
247double BOOST_MATH_TR1_DECL boost_scalbln BOOST_PREVENT_MACRO_SUBSTITUTION(double x, long ex) BOOST_MATH_C99_THROW_SPEC;
248float BOOST_MATH_TR1_DECL boost_scalblnf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, long ex) BOOST_MATH_C99_THROW_SPEC;
249long double BOOST_MATH_TR1_DECL boost_scalblnl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long ex) BOOST_MATH_C99_THROW_SPEC;
250double BOOST_MATH_TR1_DECL boost_scalbn BOOST_PREVENT_MACRO_SUBSTITUTION(double x, int ex) BOOST_MATH_C99_THROW_SPEC;
251float BOOST_MATH_TR1_DECL boost_scalbnf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, int ex) BOOST_MATH_C99_THROW_SPEC;
252long double BOOST_MATH_TR1_DECL boost_scalbnl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, int ex) BOOST_MATH_C99_THROW_SPEC;
253#endif
254double BOOST_MATH_TR1_DECL boost_tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
255float BOOST_MATH_TR1_DECL boost_tgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
256long double BOOST_MATH_TR1_DECL boost_tgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
257
258double BOOST_MATH_TR1_DECL boost_trunc BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
259float BOOST_MATH_TR1_DECL boost_truncf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
260long double BOOST_MATH_TR1_DECL boost_truncl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
261
262// [5.2.1.1] associated Laguerre polynomials:
263double BOOST_MATH_TR1_DECL boost_assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC;
264float BOOST_MATH_TR1_DECL boost_assoc_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC;
265long double BOOST_MATH_TR1_DECL boost_assoc_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x) BOOST_MATH_C99_THROW_SPEC;
266
267// [5.2.1.2] associated Legendre functions:
268double BOOST_MATH_TR1_DECL boost_assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC;
269float BOOST_MATH_TR1_DECL boost_assoc_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC;
270long double BOOST_MATH_TR1_DECL boost_assoc_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x) BOOST_MATH_C99_THROW_SPEC;
271
272// [5.2.1.3] beta function:
273double BOOST_MATH_TR1_DECL boost_beta BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
274float BOOST_MATH_TR1_DECL boost_betaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
275long double BOOST_MATH_TR1_DECL boost_betal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
276
277// [5.2.1.4] (complete) elliptic integral of the first kind:
278double BOOST_MATH_TR1_DECL boost_comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double k) BOOST_MATH_C99_THROW_SPEC;
279float BOOST_MATH_TR1_DECL boost_comp_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float k) BOOST_MATH_C99_THROW_SPEC;
280long double BOOST_MATH_TR1_DECL boost_comp_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k) BOOST_MATH_C99_THROW_SPEC;
281
282// [5.2.1.5] (complete) elliptic integral of the second kind:
283double BOOST_MATH_TR1_DECL boost_comp_ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(double k) BOOST_MATH_C99_THROW_SPEC;
284float BOOST_MATH_TR1_DECL boost_comp_ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(float k) BOOST_MATH_C99_THROW_SPEC;
285long double BOOST_MATH_TR1_DECL boost_comp_ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k) BOOST_MATH_C99_THROW_SPEC;
286
287// [5.2.1.6] (complete) elliptic integral of the third kind:
288double BOOST_MATH_TR1_DECL boost_comp_ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double nu) BOOST_MATH_C99_THROW_SPEC;
289float BOOST_MATH_TR1_DECL boost_comp_ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu) BOOST_MATH_C99_THROW_SPEC;
290long double BOOST_MATH_TR1_DECL boost_comp_ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu) BOOST_MATH_C99_THROW_SPEC;
291#if 0
292// [5.2.1.7] confluent hypergeometric functions:
293double BOOST_MATH_TR1_DECL conf_hyperg BOOST_PREVENT_MACRO_SUBSTITUTION(double a, double c, double x) BOOST_MATH_C99_THROW_SPEC;
294float BOOST_MATH_TR1_DECL conf_hypergf BOOST_PREVENT_MACRO_SUBSTITUTION(float a, float c, float x) BOOST_MATH_C99_THROW_SPEC;
295long 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;
296#endif
297// [5.2.1.8] regular modified cylindrical Bessel functions:
298double BOOST_MATH_TR1_DECL boost_cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
299float BOOST_MATH_TR1_DECL boost_cyl_bessel_if BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
300long double BOOST_MATH_TR1_DECL boost_cyl_bessel_il BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
301
302// [5.2.1.9] cylindrical Bessel functions (of the first kind):
303double BOOST_MATH_TR1_DECL boost_cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
304float BOOST_MATH_TR1_DECL boost_cyl_bessel_jf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
305long double BOOST_MATH_TR1_DECL boost_cyl_bessel_jl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
306
307// [5.2.1.10] irregular modified cylindrical Bessel functions:
308double BOOST_MATH_TR1_DECL boost_cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
309float BOOST_MATH_TR1_DECL boost_cyl_bessel_kf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
310long double BOOST_MATH_TR1_DECL boost_cyl_bessel_kl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
311
312// [5.2.1.11] cylindrical Neumann functions BOOST_MATH_C99_THROW_SPEC;
313// cylindrical Bessel functions (of the second kind):
314double BOOST_MATH_TR1_DECL boost_cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
315float BOOST_MATH_TR1_DECL boost_cyl_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
316long double BOOST_MATH_TR1_DECL boost_cyl_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
317
318// [5.2.1.12] (incomplete) elliptic integral of the first kind:
319double BOOST_MATH_TR1_DECL boost_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC;
320float BOOST_MATH_TR1_DECL boost_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC;
321long double BOOST_MATH_TR1_DECL boost_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) BOOST_MATH_C99_THROW_SPEC;
322
323// [5.2.1.13] (incomplete) elliptic integral of the second kind:
324double BOOST_MATH_TR1_DECL boost_ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC;
325float BOOST_MATH_TR1_DECL boost_ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC;
326long double BOOST_MATH_TR1_DECL boost_ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) BOOST_MATH_C99_THROW_SPEC;
327
328// [5.2.1.14] (incomplete) elliptic integral of the third kind:
329double BOOST_MATH_TR1_DECL boost_ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double nu, double phi) BOOST_MATH_C99_THROW_SPEC;
330float BOOST_MATH_TR1_DECL boost_ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi) BOOST_MATH_C99_THROW_SPEC;
331long double BOOST_MATH_TR1_DECL boost_ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi) BOOST_MATH_C99_THROW_SPEC;
332
333// [5.2.1.15] exponential integral:
334double BOOST_MATH_TR1_DECL boost_expint BOOST_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
335float BOOST_MATH_TR1_DECL boost_expintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
336long double BOOST_MATH_TR1_DECL boost_expintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
337
338// [5.2.1.16] Hermite polynomials:
339double BOOST_MATH_TR1_DECL boost_hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
340float BOOST_MATH_TR1_DECL boost_hermitef BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
341long double BOOST_MATH_TR1_DECL boost_hermitel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
342
343#if 0
344// [5.2.1.17] hypergeometric functions:
345double BOOST_MATH_TR1_DECL hyperg BOOST_PREVENT_MACRO_SUBSTITUTION(double a, double b, double c, double x) BOOST_MATH_C99_THROW_SPEC;
346float BOOST_MATH_TR1_DECL hypergf BOOST_PREVENT_MACRO_SUBSTITUTION(float a, float b, float c, float x) BOOST_MATH_C99_THROW_SPEC;
347long double BOOST_MATH_TR1_DECL hypergl BOOST_PREVENT_MACRO_SUBSTITUTION(long double a, long double b, long double c,
348long double x) BOOST_MATH_C99_THROW_SPEC;
349#endif
350
351// [5.2.1.18] Laguerre polynomials:
352double BOOST_MATH_TR1_DECL boost_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
353float BOOST_MATH_TR1_DECL boost_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
354long double BOOST_MATH_TR1_DECL boost_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
355
356// [5.2.1.19] Legendre polynomials:
357double BOOST_MATH_TR1_DECL boost_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, double x) BOOST_MATH_C99_THROW_SPEC;
358float BOOST_MATH_TR1_DECL boost_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x) BOOST_MATH_C99_THROW_SPEC;
359long double BOOST_MATH_TR1_DECL boost_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, long double x) BOOST_MATH_C99_THROW_SPEC;
360
361// [5.2.1.20] Riemann zeta function:
362double BOOST_MATH_TR1_DECL boost_riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(double) BOOST_MATH_C99_THROW_SPEC;
363float BOOST_MATH_TR1_DECL boost_riemann_zetaf BOOST_PREVENT_MACRO_SUBSTITUTION(float) BOOST_MATH_C99_THROW_SPEC;
364long double BOOST_MATH_TR1_DECL boost_riemann_zetal BOOST_PREVENT_MACRO_SUBSTITUTION(long double) BOOST_MATH_C99_THROW_SPEC;
365
366// [5.2.1.21] spherical Bessel functions (of the first kind):
367double BOOST_MATH_TR1_DECL boost_sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
368float BOOST_MATH_TR1_DECL boost_sph_besself BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
369long double BOOST_MATH_TR1_DECL boost_sph_bessell BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
370
371// [5.2.1.22] spherical associated Legendre functions:
372double BOOST_MATH_TR1_DECL boost_sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double theta) BOOST_MATH_C99_THROW_SPEC;
373float BOOST_MATH_TR1_DECL boost_sph_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta) BOOST_MATH_C99_THROW_SPEC;
374long double BOOST_MATH_TR1_DECL boost_sph_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double theta) BOOST_MATH_C99_THROW_SPEC;
375
376// [5.2.1.23] spherical Neumann functions BOOST_MATH_C99_THROW_SPEC;
377// spherical Bessel functions (of the second kind):
378double BOOST_MATH_TR1_DECL boost_sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
379float BOOST_MATH_TR1_DECL boost_sph_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
380long double BOOST_MATH_TR1_DECL boost_sph_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
381
382#ifdef __cplusplus
383
384}}}} // namespaces
385
386#include <boost/math/tools/promotion.hpp>
387
388namespace boost{ namespace math{ namespace tr1{
389//
390// Declare overload of the functions which forward to the
391// C interfaces:
392//
393// C99 Functions:
394inline double acosh BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
395{ return boost::math::tr1::boost_acosh BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
396inline float acoshf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
397{ return boost::math::tr1::boost_acoshf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
398inline long double acoshl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
399{ return boost::math::tr1::boost_acoshl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
400inline float acosh BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
401{ return boost::math::tr1::acoshf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
402inline long double acosh BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
403{ return boost::math::tr1::acoshl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
404template <class T>
405inline typename tools::promote_args<T>::type acosh BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
406{ return boost::math::tr1::acosh BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
407
408inline double asinh BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
409{ return boost::math::tr1::boost_asinh BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
410inline float asinhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
411{ return boost::math::tr1::boost_asinhf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
412inline long double asinhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
413{ return boost::math::tr1::boost_asinhl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
414inline float asinh BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
415{ return boost::math::tr1::asinhf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
416inline long double asinh BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
417{ return boost::math::tr1::asinhl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
418template <class T>
419inline typename tools::promote_args<T>::type asinh BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
420{ return boost::math::tr1::asinh BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
421
422inline double atanh BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
423{ return boost::math::tr1::boost_atanh BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
424inline float atanhf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
425{ return boost::math::tr1::boost_atanhf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
426inline long double atanhl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
427{ return boost::math::tr1::boost_atanhl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
428inline float atanh BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
429{ return boost::math::tr1::atanhf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
430inline long double atanh BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
431{ return boost::math::tr1::atanhl(x); }
432template <class T>
433inline typename tools::promote_args<T>::type atanh BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
434{ return boost::math::tr1::atanh BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
435
436inline double cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
437{ return boost::math::tr1::boost_cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
438inline float cbrtf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
439{ return boost::math::tr1::boost_cbrtf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
440inline long double cbrtl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
441{ return boost::math::tr1::boost_cbrtl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
442inline float cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
443{ return boost::math::tr1::cbrtf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
444inline long double cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
445{ return boost::math::tr1::cbrtl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
446template <class T>
447inline typename tools::promote_args<T>::type cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
448{ return boost::math::tr1::cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
449
450inline double copysign BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
451{ return boost::math::tr1::boost_copysign BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
452inline float copysignf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
453{ return boost::math::tr1::boost_copysignf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
454inline long double copysignl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
455{ return boost::math::tr1::boost_copysignl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
456inline float copysign BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
457{ return boost::math::tr1::copysignf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
458inline long double copysign BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
459{ return boost::math::tr1::copysignl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
460template <class T1, class T2>
461inline typename tools::promote_args<T1, T2>::type copysign BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
462{ return boost::math::tr1::copysign BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
463
464inline double erf BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
465{ return boost::math::tr1::boost_erf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
466inline float erff BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
467{ return boost::math::tr1::boost_erff BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
468inline long double erfl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
469{ return boost::math::tr1::boost_erfl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
470inline float erf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
471{ return boost::math::tr1::erff BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
472inline long double erf BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
473{ return boost::math::tr1::erfl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
474template <class T>
475inline typename tools::promote_args<T>::type erf BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
476{ return boost::math::tr1::erf BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
477
478inline double erfc BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
479{ return boost::math::tr1::boost_erfc BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
480inline float erfcf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
481{ return boost::math::tr1::boost_erfcf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
482inline long double erfcl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
483{ return boost::math::tr1::boost_erfcl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
484inline float erfc BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
485{ return boost::math::tr1::erfcf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
486inline long double erfc BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
487{ return boost::math::tr1::erfcl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
488template <class T>
489inline typename tools::promote_args<T>::type erfc BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
490{ return boost::math::tr1::erfc BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
491
492#if 0
493double exp2 BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
494float exp2f BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
495long double exp2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
496#endif
497
498inline float expm1f BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
499{ return boost::math::tr1::boost_expm1f BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
500inline double expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
501{ return boost::math::tr1::boost_expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
502inline long double expm1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
503{ return boost::math::tr1::boost_expm1l BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
504inline float expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
505{ return boost::math::tr1::expm1f BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
506inline long double expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
507{ return boost::math::tr1::expm1l BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
508template <class T>
509inline typename tools::promote_args<T>::type expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
510{ return boost::math::tr1::expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
511
512#if 0
513double fdim BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y);
514float fdimf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y);
515long double fdiml BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y);
516double fma BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y, double z);
517float fmaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y, float z);
518long double fmal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, long double z);
519#endif
520inline double fmax BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
521{ return boost::math::tr1::boost_fmax BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
522inline float fmaxf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
523{ return boost::math::tr1::boost_fmaxf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
524inline long double fmaxl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
525{ return boost::math::tr1::boost_fmaxl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
526inline float fmax BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
527{ return boost::math::tr1::fmaxf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
528inline long double fmax BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
529{ return boost::math::tr1::fmaxl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
530template <class T1, class T2>
531inline typename tools::promote_args<T1, T2>::type fmax BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
532{ return boost::math::tr1::fmax BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
533
534inline double fmin BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
535{ return boost::math::tr1::boost_fmin BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
536inline float fminf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
537{ return boost::math::tr1::boost_fminf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
538inline long double fminl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
539{ return boost::math::tr1::boost_fminl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
540inline float fmin BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
541{ return boost::math::tr1::fminf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
542inline long double fmin BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
543{ return boost::math::tr1::fminl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
544template <class T1, class T2>
545inline typename tools::promote_args<T1, T2>::type fmin BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
546{ return boost::math::tr1::fmin BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
547
548inline float hypotf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
549{ return boost::math::tr1::boost_hypotf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
550inline double hypot BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
551{ return boost::math::tr1::boost_hypot BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
552inline long double hypotl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
553{ return boost::math::tr1::boost_hypotl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
554inline float hypot BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
555{ return boost::math::tr1::hypotf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
556inline long double hypot BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
557{ return boost::math::tr1::hypotl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
558template <class T1, class T2>
559inline typename tools::promote_args<T1, T2>::type hypot BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
560{ return boost::math::tr1::hypot BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
561
562#if 0
563int ilogb BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
564int ilogbf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
565int ilogbl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
566#endif
567
568inline float lgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
569{ return boost::math::tr1::boost_lgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
570inline double lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
571{ return boost::math::tr1::boost_lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
572inline long double lgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
573{ return boost::math::tr1::boost_lgammal BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
574inline float lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
575{ return boost::math::tr1::lgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
576inline long double lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
577{ return boost::math::tr1::lgammal BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
578template <class T>
579inline typename tools::promote_args<T>::type lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
580{ return boost::math::tr1::lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
581
582#ifdef BOOST_HAS_LONG_LONG
583#if 0
584::boost::long_long_type llrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
585::boost::long_long_type llrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
586::boost::long_long_type llrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
587#endif
588
589inline ::boost::long_long_type llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
590{ return boost::math::tr1::boost_llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
591inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
592{ return boost::math::tr1::boost_llround BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
593inline ::boost::long_long_type llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
594{ return boost::math::tr1::boost_llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
595inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
596{ return boost::math::tr1::llroundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
597inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
598{ return boost::math::tr1::llroundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
599template <class T>
600inline ::boost::long_long_type llround BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
601{ return llround BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<double>(x)); }
602#endif
603
604inline float log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
605{ return boost::math::tr1::boost_log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
606inline double log1p BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
607{ return boost::math::tr1::boost_log1p BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
608inline long double log1pl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
609{ return boost::math::tr1::boost_log1pl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
610inline float log1p BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
611{ return boost::math::tr1::log1pf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
612inline long double log1p BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
613{ return boost::math::tr1::log1pl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
614template <class T>
615inline typename tools::promote_args<T>::type log1p BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
616{ return boost::math::tr1::log1p BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
617#if 0
618double log2 BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
619float log2f BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
620long double log2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
621
622double logb BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
623float logbf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
624long double logbl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
625long lrint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
626long lrintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
627long lrintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
628#endif
629inline long lroundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
630{ return boost::math::tr1::boost_lroundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
631inline long lround BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
632{ return boost::math::tr1::boost_lround BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
633inline long lroundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
634{ return boost::math::tr1::boost_lroundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
635inline long lround BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
636{ return boost::math::tr1::lroundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
637inline long lround BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
638{ return boost::math::tr1::lroundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
639template <class T>
640long lround BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
641{ return boost::math::tr1::lround BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<double>(x)); }
642#if 0
643double nan BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str);
644float nanf BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str);
645long double nanl BOOST_PREVENT_MACRO_SUBSTITUTION(const char *str);
646double nearbyint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
647float nearbyintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
648long double nearbyintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
649#endif
650inline float nextafterf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
651{ return boost::math::tr1::boost_nextafterf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
652inline double nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
653{ return boost::math::tr1::boost_nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
654inline long double nextafterl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
655{ return boost::math::tr1::boost_nextafterl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
656inline float nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
657{ return boost::math::tr1::nextafterf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
658inline long double nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
659{ return boost::math::tr1::nextafterl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
660template <class T1, class T2>
661inline typename tools::promote_args<T1, T2>::type nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
662{ return boost::math::tr1::nextafter BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
663
664inline float nexttowardf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
665{ return boost::math::tr1::boost_nexttowardf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
666inline double nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
667{ return boost::math::tr1::boost_nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
668inline long double nexttowardl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
669{ return boost::math::tr1::boost_nexttowardl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
670inline float nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
671{ return boost::math::tr1::nexttowardf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
672inline long double nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
673{ return boost::math::tr1::nexttowardl BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
674template <class T1, class T2>
675inline typename tools::promote_args<T1, T2>::type nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
676{ return static_cast<typename tools::promote_args<T1, T2>::type>(boost::math::tr1::nexttoward BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<long double>(y))); }
677#if 0
678double remainder BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y);
679float remainderf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y);
680long double remainderl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y);
681double remquo BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y, int *pquo);
682float remquof BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y, int *pquo);
683long double remquol BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, int *pquo);
684double rint BOOST_PREVENT_MACRO_SUBSTITUTION(double x);
685float rintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x);
686long double rintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x);
687#endif
688inline float roundf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
689{ return boost::math::tr1::boost_roundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
690inline double round BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
691{ return boost::math::tr1::boost_round BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
692inline long double roundl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
693{ return boost::math::tr1::boost_roundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
694inline float round BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
695{ return boost::math::tr1::roundf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
696inline long double round BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
697{ return boost::math::tr1::roundl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
698template <class T>
699inline typename tools::promote_args<T>::type round BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
700{ return boost::math::tr1::round BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
701#if 0
702double scalbln BOOST_PREVENT_MACRO_SUBSTITUTION(double x, long ex);
703float scalblnf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, long ex);
704long double scalblnl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long ex);
705double scalbn BOOST_PREVENT_MACRO_SUBSTITUTION(double x, int ex);
706float scalbnf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, int ex);
707long double scalbnl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, int ex);
708#endif
709inline float tgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
710{ return boost::math::tr1::boost_tgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
711inline double tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
712{ return boost::math::tr1::boost_tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
713inline long double tgammal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
714{ return boost::math::tr1::boost_tgammal BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
715inline float tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
716{ return boost::math::tr1::tgammaf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
717inline long double tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
718{ return boost::math::tr1::tgammal BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
719template <class T>
720inline typename tools::promote_args<T>::type tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
721{ return boost::math::tr1::tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
722
723inline float truncf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
724{ return boost::math::tr1::boost_truncf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
725inline double trunc BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
726{ return boost::math::tr1::boost_trunc BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
727inline long double truncl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
728{ return boost::math::tr1::boost_truncl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
729inline float trunc BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
730{ return boost::math::tr1::truncf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
731inline long double trunc BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
732{ return boost::math::tr1::truncl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
733template <class T>
734inline typename tools::promote_args<T>::type trunc BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
735{ return boost::math::tr1::trunc BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
736
737# define NO_MACRO_EXPAND /**/
738// C99 macros defined as C++ templates
739template<class T> bool signbit NO_MACRO_EXPAND(T x)
740{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
741template<> bool BOOST_MATH_TR1_DECL signbit<float> NO_MACRO_EXPAND(float x);
742template<> bool BOOST_MATH_TR1_DECL signbit<double> NO_MACRO_EXPAND(double x);
743template<> bool BOOST_MATH_TR1_DECL signbit<long double> NO_MACRO_EXPAND(long double x);
744
745template<class T> int fpclassify NO_MACRO_EXPAND(T x)
746{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
747template<> int BOOST_MATH_TR1_DECL fpclassify<float> NO_MACRO_EXPAND(float x);
748template<> int BOOST_MATH_TR1_DECL fpclassify<double> NO_MACRO_EXPAND(double x);
749template<> int BOOST_MATH_TR1_DECL fpclassify<long double> NO_MACRO_EXPAND(long double x);
750
751template<class T> bool isfinite NO_MACRO_EXPAND(T x)
752{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
753template<> bool BOOST_MATH_TR1_DECL isfinite<float> NO_MACRO_EXPAND(float x);
754template<> bool BOOST_MATH_TR1_DECL isfinite<double> NO_MACRO_EXPAND(double x);
755template<> bool BOOST_MATH_TR1_DECL isfinite<long double> NO_MACRO_EXPAND(long double x);
756
757template<class T> bool isinf NO_MACRO_EXPAND(T x)
758{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
759template<> bool BOOST_MATH_TR1_DECL isinf<float> NO_MACRO_EXPAND(float x);
760template<> bool BOOST_MATH_TR1_DECL isinf<double> NO_MACRO_EXPAND(double x);
761template<> bool BOOST_MATH_TR1_DECL isinf<long double> NO_MACRO_EXPAND(long double x);
762
763template<class T> bool isnan NO_MACRO_EXPAND(T x)
764{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
765template<> bool BOOST_MATH_TR1_DECL isnan<float> NO_MACRO_EXPAND(float x);
766template<> bool BOOST_MATH_TR1_DECL isnan<double> NO_MACRO_EXPAND(double x);
767template<> bool BOOST_MATH_TR1_DECL isnan<long double> NO_MACRO_EXPAND(long double x);
768
769template<class T> bool isnormal NO_MACRO_EXPAND(T x)
770{ BOOST_STATIC_ASSERT(sizeof(T) == 0); return false; } // must not be instantiated
771template<> bool BOOST_MATH_TR1_DECL isnormal<float> NO_MACRO_EXPAND(float x);
772template<> bool BOOST_MATH_TR1_DECL isnormal<double> NO_MACRO_EXPAND(double x);
773template<> bool BOOST_MATH_TR1_DECL isnormal<long double> NO_MACRO_EXPAND(long double x);
774
775#undef NO_MACRO_EXPAND
776
777// [5.2.1.1] associated Laguerre polynomials:
778inline float assoc_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x)
779{ return boost::math::tr1::boost_assoc_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
780inline double assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, double x)
781{ return boost::math::tr1::boost_assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
782inline long double assoc_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x)
783{ return boost::math::tr1::boost_assoc_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
784inline float assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x)
785{ return boost::math::tr1::assoc_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
786inline long double assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x)
787{ return boost::math::tr1::assoc_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
788template <class T>
789inline typename tools::promote_args<T>::type assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, T x)
790{ return boost::math::tr1::assoc_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, m, static_cast<typename tools::promote_args<T>::type>(x)); }
791
792// [5.2.1.2] associated Legendre functions:
793inline float assoc_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x)
794{ return boost::math::tr1::boost_assoc_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
795inline double assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double x)
796{ return boost::math::tr1::boost_assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
797inline long double assoc_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x)
798{ return boost::math::tr1::boost_assoc_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
799inline float assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x)
800{ return boost::math::tr1::assoc_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
801inline long double assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x)
802{ return boost::math::tr1::assoc_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
803template <class T>
804inline typename tools::promote_args<T>::type assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, T x)
805{ return boost::math::tr1::assoc_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, static_cast<typename tools::promote_args<T>::type>(x)); }
806
807// [5.2.1.3] beta function:
808inline float betaf BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
809{ return boost::math::tr1::boost_betaf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
810inline double beta BOOST_PREVENT_MACRO_SUBSTITUTION(double x, double y)
811{ return boost::math::tr1::boost_beta BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
812inline long double betal BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
813{ return boost::math::tr1::boost_betal BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
814inline float beta BOOST_PREVENT_MACRO_SUBSTITUTION(float x, float y)
815{ return boost::math::tr1::betaf BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
816inline long double beta BOOST_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
817{ return boost::math::tr1::betal BOOST_PREVENT_MACRO_SUBSTITUTION(x, y); }
818template <class T1, class T2>
819inline typename tools::promote_args<T1, T2>::type beta BOOST_PREVENT_MACRO_SUBSTITUTION(T2 x, T1 y)
820{ return boost::math::tr1::beta BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
821
822// [5.2.1.4] (complete) elliptic integral of the first kind:
823inline float comp_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float k)
824{ return boost::math::tr1::boost_comp_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(k); }
825inline double comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double k)
826{ return boost::math::tr1::boost_comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(k); }
827inline long double comp_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k)
828{ return boost::math::tr1::boost_comp_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(k); }
829inline float comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(float k)
830{ return boost::math::tr1::comp_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(k); }
831inline long double comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(long double k)
832{ return boost::math::tr1::comp_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(k); }
833template <class T>
834inline typename tools::promote_args<T>::type comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(T k)
835{ return boost::math::tr1::comp_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(k)); }
836
837// [5.2.1.5] (complete) elliptic integral of the second kind:
838inline float comp_ellint_2f(float k)
839{ return boost::math::tr1::boost_comp_ellint_2f(k); }
840inline double comp_ellint_2(double k)
841{ return boost::math::tr1::boost_comp_ellint_2(k); }
842inline long double comp_ellint_2l(long double k)
843{ return boost::math::tr1::boost_comp_ellint_2l(k); }
844inline float comp_ellint_2(float k)
845{ return boost::math::tr1::comp_ellint_2f(k); }
846inline long double comp_ellint_2(long double k)
847{ return boost::math::tr1::comp_ellint_2l(k); }
848template <class T>
849inline typename tools::promote_args<T>::type comp_ellint_2(T k)
850{ return boost::math::tr1::comp_ellint_2(static_cast<typename tools::promote_args<T>::type> BOOST_PREVENT_MACRO_SUBSTITUTION(k)); }
851
852// [5.2.1.6] (complete) elliptic integral of the third kind:
853inline float comp_ellint_3f(float k, float nu)
854{ return boost::math::tr1::boost_comp_ellint_3f(k, nu); }
855inline double comp_ellint_3(double k, double nu)
856{ return boost::math::tr1::boost_comp_ellint_3(k, nu); }
857inline long double comp_ellint_3l(long double k, long double nu)
858{ return boost::math::tr1::boost_comp_ellint_3l(k, nu); }
859inline float comp_ellint_3(float k, float nu)
860{ return boost::math::tr1::comp_ellint_3f(k, nu); }
861inline long double comp_ellint_3(long double k, long double nu)
862{ return boost::math::tr1::comp_ellint_3l(k, nu); }
863template <class T1, class T2>
864inline typename tools::promote_args<T1, T2>::type comp_ellint_3(T1 k, T2 nu)
865{ return boost::math::tr1::comp_ellint_3(static_cast<typename tools::promote_args<T1, T2>::type> BOOST_PREVENT_MACRO_SUBSTITUTION(k), static_cast<typename tools::promote_args<T1, T2>::type> BOOST_PREVENT_MACRO_SUBSTITUTION(nu)); }
866
867#if 0
868// [5.2.1.7] confluent hypergeometric functions:
869double conf_hyperg BOOST_PREVENT_MACRO_SUBSTITUTION(double a, double c, double x);
870float conf_hypergf BOOST_PREVENT_MACRO_SUBSTITUTION(float a, float c, float x);
871long double conf_hypergl BOOST_PREVENT_MACRO_SUBSTITUTION(long double a, long double c, long double x);
872#endif
873
874// [5.2.1.8] regular modified cylindrical Bessel functions:
875inline float cyl_bessel_if BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
876{ return boost::math::tr1::boost_cyl_bessel_if BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
877inline double cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
878{ return boost::math::tr1::boost_cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
879inline long double cyl_bessel_il BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
880{ return boost::math::tr1::boost_cyl_bessel_il BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
881inline float cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
882{ return boost::math::tr1::cyl_bessel_if BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
883inline long double cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
884{ return boost::math::tr1::cyl_bessel_il BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
885template <class T1, class T2>
886inline typename tools::promote_args<T1, T2>::type cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
887{ return boost::math::tr1::cyl_bessel_i BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
888
889// [5.2.1.9] cylindrical Bessel functions (of the first kind):
890inline float cyl_bessel_jf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
891{ return boost::math::tr1::boost_cyl_bessel_jf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
892inline double cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
893{ return boost::math::tr1::boost_cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
894inline long double cyl_bessel_jl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
895{ return boost::math::tr1::boost_cyl_bessel_jl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
896inline float cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
897{ return boost::math::tr1::cyl_bessel_jf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
898inline long double cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
899{ return boost::math::tr1::cyl_bessel_jl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
900template <class T1, class T2>
901inline typename tools::promote_args<T1, T2>::type cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
902{ return boost::math::tr1::cyl_bessel_j BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
903
904// [5.2.1.10] irregular modified cylindrical Bessel functions:
905inline float cyl_bessel_kf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
906{ return boost::math::tr1::boost_cyl_bessel_kf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
907inline double cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
908{ return boost::math::tr1::boost_cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
909inline long double cyl_bessel_kl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
910{ return boost::math::tr1::boost_cyl_bessel_kl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
911inline float cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
912{ return boost::math::tr1::cyl_bessel_kf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
913inline long double cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
914{ return boost::math::tr1::cyl_bessel_kl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
915template <class T1, class T2>
916inline typename tools::promote_args<T1, T2>::type cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
917{ return boost::math::tr1::cyl_bessel_k BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type> BOOST_PREVENT_MACRO_SUBSTITUTION(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
918
919// [5.2.1.11] cylindrical Neumann functions;
920// cylindrical Bessel functions (of the second kind):
921inline float cyl_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
922{ return boost::math::tr1::boost_cyl_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
923inline double cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
924{ return boost::math::tr1::boost_cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
925inline long double cyl_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
926{ return boost::math::tr1::boost_cyl_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
927inline float cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
928{ return boost::math::tr1::cyl_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
929inline long double cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
930{ return boost::math::tr1::cyl_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(nu, x); }
931template <class T1, class T2>
932inline typename tools::promote_args<T1, T2>::type cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
933{ return boost::math::tr1::cyl_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
934
935// [5.2.1.12] (incomplete) elliptic integral of the first kind:
936inline float ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
937{ return boost::math::tr1::boost_ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
938inline double ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi)
939{ return boost::math::tr1::boost_ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
940inline long double ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
941{ return boost::math::tr1::boost_ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
942inline float ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
943{ return boost::math::tr1::ellint_1f BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
944inline long double ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
945{ return boost::math::tr1::ellint_1l BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
946template <class T1, class T2>
947inline typename tools::promote_args<T1, T2>::type ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 phi)
948{ return boost::math::tr1::ellint_1 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(k), static_cast<typename tools::promote_args<T1, T2>::type>(phi)); }
949
950// [5.2.1.13] (incomplete) elliptic integral of the second kind:
951inline float ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
952{ return boost::math::tr1::boost_ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
953inline double ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double phi)
954{ return boost::math::tr1::boost_ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
955inline long double ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
956{ return boost::math::tr1::boost_ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
957inline float ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
958{ return boost::math::tr1::ellint_2f BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
959inline long double ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
960{ return boost::math::tr1::ellint_2l BOOST_PREVENT_MACRO_SUBSTITUTION(k, phi); }
961template <class T1, class T2>
962inline typename tools::promote_args<T1, T2>::type ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 phi)
963{ return boost::math::tr1::ellint_2 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(k), static_cast<typename tools::promote_args<T1, T2>::type>(phi)); }
964
965// [5.2.1.14] (incomplete) elliptic integral of the third kind:
966inline float ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi)
967{ return boost::math::tr1::boost_ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
968inline double ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(double k, double nu, double phi)
969{ return boost::math::tr1::boost_ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
970inline long double ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi)
971{ return boost::math::tr1::boost_ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
972inline float ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi)
973{ return boost::math::tr1::ellint_3f BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
974inline long double ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi)
975{ return boost::math::tr1::ellint_3l BOOST_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
976template <class T1, class T2, class T3>
977inline typename tools::promote_args<T1, T2, T3>::type ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 nu, T3 phi)
978{ return boost::math::tr1::ellint_3 BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2, T3>::type>(k), static_cast<typename tools::promote_args<T1, T2, T3>::type>(nu), static_cast<typename tools::promote_args<T1, T2, T3>::type>(phi)); }
979
980// [5.2.1.15] exponential integral:
981inline float expintf BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
982{ return boost::math::tr1::boost_expintf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
983inline double expint BOOST_PREVENT_MACRO_SUBSTITUTION(double x)
984{ return boost::math::tr1::boost_expint BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
985inline long double expintl BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
986{ return boost::math::tr1::boost_expintl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
987inline float expint BOOST_PREVENT_MACRO_SUBSTITUTION(float x)
988{ return boost::math::tr1::expintf BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
989inline long double expint BOOST_PREVENT_MACRO_SUBSTITUTION(long double x)
990{ return boost::math::tr1::expintl BOOST_PREVENT_MACRO_SUBSTITUTION(x); }
991template <class T>
992inline typename tools::promote_args<T>::type expint BOOST_PREVENT_MACRO_SUBSTITUTION(T x)
993{ return boost::math::tr1::expint BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
994
995// [5.2.1.16] Hermite polynomials:
996inline float hermitef BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
997{ return boost::math::tr1::boost_hermitef BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
998inline double hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
999{ return boost::math::tr1::boost_hermite BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1000inline long double hermitel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
1001{ return boost::math::tr1::boost_hermitel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1002inline float hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
1003{ return boost::math::tr1::hermitef BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1004inline long double hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
1005{ return boost::math::tr1::hermitel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1006template <class T>
1007inline typename tools::promote_args<T>::type hermite BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
1008{ return boost::math::tr1::hermite BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
1009
1010#if 0
1011// [5.2.1.17] hypergeometric functions:
1012double hyperg BOOST_PREVENT_MACRO_SUBSTITUTION(double a, double b, double c, double x);
1013float hypergf BOOST_PREVENT_MACRO_SUBSTITUTION(float a, float b, float c, float x);
1014long double hypergl BOOST_PREVENT_MACRO_SUBSTITUTION(long double a, long double b, long double c,
1015long double x);
1016#endif
1017
1018// [5.2.1.18] Laguerre polynomials:
1019inline float laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
1020{ return boost::math::tr1::boost_laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1021inline double laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
1022{ return boost::math::tr1::boost_laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1023inline long double laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
1024{ return boost::math::tr1::boost_laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1025inline float laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
1026{ return boost::math::tr1::laguerref BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1027inline long double laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
1028{ return boost::math::tr1::laguerrel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1029template <class T>
1030inline typename tools::promote_args<T>::type laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
1031{ return boost::math::tr1::laguerre BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
1032
1033// [5.2.1.19] Legendre polynomials:
1034inline float legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x)
1035{ return boost::math::tr1::boost_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, x); }
1036inline double legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, double x)
1037{ return boost::math::tr1::boost_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, x); }
1038inline long double legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, long double x)
1039{ return boost::math::tr1::boost_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, x); }
1040inline float legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x)
1041{ return boost::math::tr1::legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, x); }
1042inline long double legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, long double x)
1043{ return boost::math::tr1::legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, x); }
1044template <class T>
1045inline typename tools::promote_args<T>::type legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, T x)
1046{ return boost::math::tr1::legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, static_cast<typename tools::promote_args<T>::type>(x)); }
1047
1048// [5.2.1.20] Riemann zeta function:
1049inline float riemann_zetaf BOOST_PREVENT_MACRO_SUBSTITUTION(float z)
1050{ return boost::math::tr1::boost_riemann_zetaf BOOST_PREVENT_MACRO_SUBSTITUTION(z); }
1051inline double riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(double z)
1052{ return boost::math::tr1::boost_riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(z); }
1053inline long double riemann_zetal BOOST_PREVENT_MACRO_SUBSTITUTION(long double z)
1054{ return boost::math::tr1::boost_riemann_zetal BOOST_PREVENT_MACRO_SUBSTITUTION(z); }
1055inline float riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(float z)
1056{ return boost::math::tr1::riemann_zetaf BOOST_PREVENT_MACRO_SUBSTITUTION(z); }
1057inline long double riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(long double z)
1058{ return boost::math::tr1::riemann_zetal BOOST_PREVENT_MACRO_SUBSTITUTION(z); }
1059template <class T>
1060inline typename tools::promote_args<T>::type riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(T z)
1061{ return boost::math::tr1::riemann_zeta BOOST_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(z)); }
1062
1063// [5.2.1.21] spherical Bessel functions (of the first kind):
1064inline float sph_besself BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
1065{ return boost::math::tr1::boost_sph_besself BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1066inline double sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
1067{ return boost::math::tr1::boost_sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1068inline long double sph_bessell BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
1069{ return boost::math::tr1::boost_sph_bessell BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1070inline float sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
1071{ return boost::math::tr1::sph_besself BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1072inline long double sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
1073{ return boost::math::tr1::sph_bessell BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1074template <class T>
1075inline typename tools::promote_args<T>::type sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
1076{ return boost::math::tr1::sph_bessel BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
1077
1078// [5.2.1.22] spherical associated Legendre functions:
1079inline float sph_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta)
1080{ return boost::math::tr1::boost_sph_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
1081inline double sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double theta)
1082{ return boost::math::tr1::boost_sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
1083inline long double sph_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double theta)
1084{ return boost::math::tr1::boost_sph_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
1085inline float sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta)
1086{ return boost::math::tr1::sph_legendref BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
1087inline long double sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double theta)
1088{ return boost::math::tr1::sph_legendrel BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
1089template <class T>
1090inline typename tools::promote_args<T>::type sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, T theta)
1091{ return boost::math::tr1::sph_legendre BOOST_PREVENT_MACRO_SUBSTITUTION(l, m, static_cast<typename tools::promote_args<T>::type>(theta)); }
1092
1093// [5.2.1.23] spherical Neumann functions;
1094// spherical Bessel functions (of the second kind):
1095inline float sph_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
1096{ return boost::math::tr1::boost_sph_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1097inline double sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
1098{ return boost::math::tr1::boost_sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1099inline long double sph_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
1100{ return boost::math::tr1::boost_sph_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1101inline float sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
1102{ return boost::math::tr1::sph_neumannf BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1103inline long double sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
1104{ return boost::math::tr1::sph_neumannl BOOST_PREVENT_MACRO_SUBSTITUTION(n, x); }
1105template <class T>
1106inline typename tools::promote_args<T>::type sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
1107{ return boost::math::tr1::sph_neumann BOOST_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
1108
1109}}} // namespaces
1110
1111#else // __cplusplus
1112
1113#include <boost/math/tr1_c_macros.ipp>
1114
1115#endif // __cplusplus
1116
1117#endif // BOOST_MATH_TR1_HPP
1118