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