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tr1.hpp

tr1.hpp 80 KB
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  1. // Copyright John Maddock 2008.
    2. 

  2. // Use, modification and distribution are subject to the
    3. 

  3. // Boost Software License, Version 1.0.
    4. 

  4. // (See accompanying file LICENSE_1_0.txt
    5. 

  5. // or copy at http://www.boost.org/LICENSE_1_0.txt)
    6. 

  6. 

  7. #ifndef BOOST_MATH_TR1_HPP
    8. 

  8. #define BOOST_MATH_TR1_HPP
    9. 

  9. 

  10. #ifdef _MSC_VER
    11. 

  11. #pragma once
    12. 

  12. #endif
    13. 

  13. 

  14. #include <math.h> // So we can check which std C lib we're using
    15. 

  15. 

  16. #ifdef __cplusplus
    17. 

  17. 

  18. #include <boost/math/tools/is_standalone.hpp>
    19. 

  19. #include <boost/math/tools/assert.hpp>
    20. 

  20. 

  21. namespace boost{ namespace math{ namespace tr1{ extern "C"{
    22. 

  22. 

  23. #endif // __cplusplus
    24. 

  24. 

  25. #ifndef BOOST_MATH_PREVENT_MACRO_SUBSTITUTION
    26. 

  26. #define BOOST_MATH_PREVENT_MACRO_SUBSTITUTION /**/
    27. 

  27. #endif
    28. 

  28. 

  29. // we need to import/export our code only if the user has specifically
    30. 

  30. // asked for it by defining either BOOST_ALL_DYN_LINK if they want all boost
    31. 

  31. // libraries to be dynamically linked, or BOOST_MATH_TR1_DYN_LINK
    32. 

  32. // if they want just this one to be dynamically liked:
    33. 

  33. #if defined(BOOST_ALL_DYN_LINK) || defined(BOOST_MATH_TR1_DYN_LINK)
    34. 

  34. // export if this is our own source, otherwise import:
    35. 

  35. #ifdef BOOST_MATH_TR1_SOURCE
    36. 

  36. # define BOOST_MATH_TR1_DECL BOOST_SYMBOL_EXPORT
    37. 

  37. #else
    38. 

  38. # define BOOST_MATH_TR1_DECL BOOST_SYMBOL_IMPORT
    39. 

  39. #endif  // BOOST_MATH_TR1_SOURCE
    40. 

  40. #else
    41. 

  41. #  define BOOST_MATH_TR1_DECL
    42. 

  42. #endif  // DYN_LINK
    43. 

  43. //
    44. 

  44. // Set any throw specifications on the C99 extern "C" functions - these have to be
    45. 

  45. // the same as used in the std lib if any.
    46. 

  46. //
    47. 

  47. #if defined(__GLIBC__) && defined(__THROW)
    48. 

  48. #  define BOOST_MATH_C99_THROW_SPEC __THROW
    49. 

  49. #else
    50. 

  50. #  define BOOST_MATH_C99_THROW_SPEC
    51. 

  51. #endif
    52. 

  52. 

  53. //
    54. 

  54. // Now set up the libraries to link against:
    55. 

  55. // Not compatible with standalone mode
    56. 

  56. //
    57. 

  57. #ifndef BOOST_MATH_STANDALONE
    58. 

  58. #include <boost/config.hpp>
    59. 

  59. #if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
    60. 

  60.    && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
    61. 

  61. #  define BOOST_LIB_NAME boost_math_c99
    62. 

  62. #  if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
    63. 

  63. #     define BOOST_DYN_LINK
    64. 

  64. #  endif
    65. 

  65. #  include <boost/config/auto_link.hpp>
    66. 

  66. #endif
    67. 

  67. #if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
    68. 

  68.    && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
    69. 

  69. #  define BOOST_LIB_NAME boost_math_c99f
    70. 

  70. #  if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
    71. 

  71. #     define BOOST_DYN_LINK
    72. 

  72. #  endif
    73. 

  73. #  include <boost/config/auto_link.hpp>
    74. 

  74. #endif
    75. 

  75. #if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
    76. 

  76.    && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus) \
    77. 

  77.    && !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
    78. 

  78. #  define BOOST_LIB_NAME boost_math_c99l
    79. 

  79. #  if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
    80. 

  80. #     define BOOST_DYN_LINK
    81. 

  81. #  endif
    82. 

  82. #  include <boost/config/auto_link.hpp>
    83. 

  83. #endif
    84. 

  84. #if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
    85. 

  85.    && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
    86. 

  86. #  define BOOST_LIB_NAME boost_math_tr1
    87. 

  87. #  if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
    88. 

  88. #     define BOOST_DYN_LINK
    89. 

  89. #  endif
    90. 

  90. #  include <boost/config/auto_link.hpp>
    91. 

  91. #endif
    92. 

  92. #if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
    93. 

  93.    && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus)
    94. 

  94. #  define BOOST_LIB_NAME boost_math_tr1f
    95. 

  95. #  if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
    96. 

  96. #     define BOOST_DYN_LINK
    97. 

  97. #  endif
    98. 

  98. #  include <boost/config/auto_link.hpp>
    99. 

  99. #endif
    100. 

  100. #if !defined(BOOST_MATH_TR1_NO_LIB) && !defined(BOOST_MATH_TR1_SOURCE) \
    101. 

  101.    && !defined(BOOST_ALL_NO_LIB) && defined(__cplusplus) \
    102. 

  102.    && !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
    103. 

  103. #  define BOOST_LIB_NAME boost_math_tr1l
    104. 

  104. #  if defined(BOOST_MATH_TR1_DYN_LINK) || defined(BOOST_ALL_DYN_LINK)
    105. 

  105. #     define BOOST_DYN_LINK
    106. 

  106. #  endif
    107. 

  107. #  include <boost/config/auto_link.hpp>
    108. 

  108. #endif
    109. 

  109. #else // Standalone mode
    110. 

  110. #  if defined(_MSC_VER) && !defined(BOOST_ALL_NO_LIB)
    111. 

  111. #    pragma message("Auto linking of TR1 is not supported in standalone mode")
    112. 

  112. #  endif
    113. 

  113. #endif // BOOST_MATH_STANDALONE
    114. 

  114. 

  115. #if !(defined(__INTEL_COMPILER) && defined(__APPLE__)) && !(defined(__FLT_EVAL_METHOD__) && !defined(__cplusplus))
    116. 

  116. #if !defined(FLT_EVAL_METHOD)
    117. 

  117. typedef float float_t;
    118. 

  118. typedef double double_t;
    119. 

  119. #elif FLT_EVAL_METHOD == -1
    120. 

  120. typedef float float_t;
    121. 

  121. typedef double double_t;
    122. 

  122. #elif FLT_EVAL_METHOD == 0
    123. 

  123. typedef float float_t;
    124. 

  124. typedef double double_t;
    125. 

  125. #elif FLT_EVAL_METHOD == 1
    126. 

  126. typedef double float_t;
    127. 

  127. typedef double double_t;
    128. 

  128. #else
    129. 

  129. typedef long double float_t;
    130. 

  130. typedef long double double_t;
    131. 

  131. #endif
    132. 

  132. #endif
    133. 

  133. 

  134. // C99 Functions:
    135. 

  135. double BOOST_MATH_TR1_DECL boost_acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    136. 

  136. float BOOST_MATH_TR1_DECL boost_acoshf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    137. 

  137. long double BOOST_MATH_TR1_DECL boost_acoshl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    138. 

  138. 

  139. double BOOST_MATH_TR1_DECL boost_asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    140. 

  140. float BOOST_MATH_TR1_DECL boost_asinhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    141. 

  141. long double BOOST_MATH_TR1_DECL boost_asinhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    142. 

  142. 

  143. double BOOST_MATH_TR1_DECL boost_atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    144. 

  144. float BOOST_MATH_TR1_DECL boost_atanhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    145. 

  145. long double BOOST_MATH_TR1_DECL boost_atanhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    146. 

  146. 

  147. double BOOST_MATH_TR1_DECL boost_cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    148. 

  148. float BOOST_MATH_TR1_DECL boost_cbrtf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    149. 

  149. long double BOOST_MATH_TR1_DECL boost_cbrtl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    150. 

  150. 

  151. double BOOST_MATH_TR1_DECL boost_copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
    152. 

  152. float BOOST_MATH_TR1_DECL boost_copysignf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
    153. 

  153. long double BOOST_MATH_TR1_DECL boost_copysignl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
    154. 

  154. 

  155. double BOOST_MATH_TR1_DECL boost_erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    156. 

  156. float BOOST_MATH_TR1_DECL boost_erff BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    157. 

  157. long double BOOST_MATH_TR1_DECL boost_erfl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    158. 

  158. 

  159. double BOOST_MATH_TR1_DECL boost_erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    160. 

  160. float BOOST_MATH_TR1_DECL boost_erfcf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    161. 

  161. long double BOOST_MATH_TR1_DECL boost_erfcl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    162. 

  162. #if 0
    163. 

  163. double BOOST_MATH_TR1_DECL boost_exp2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    164. 

  164. float BOOST_MATH_TR1_DECL boost_exp2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    165. 

  165. long double BOOST_MATH_TR1_DECL boost_exp2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    166. 

  166. #endif
    167. 

  167. double BOOST_MATH_TR1_DECL boost_expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    168. 

  168. float BOOST_MATH_TR1_DECL boost_expm1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    169. 

  169. long double BOOST_MATH_TR1_DECL boost_expm1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    170. 

  170. #if 0
    171. 

  171. double BOOST_MATH_TR1_DECL boost_fdim BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
    172. 

  172. float BOOST_MATH_TR1_DECL boost_fdimf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
    173. 

  173. long double BOOST_MATH_TR1_DECL boost_fdiml BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
    174. 

  174. double BOOST_MATH_TR1_DECL boost_fma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y, double z) BOOST_MATH_C99_THROW_SPEC;
    175. 

  175. float BOOST_MATH_TR1_DECL boost_fmaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y, float z) BOOST_MATH_C99_THROW_SPEC;
    176. 

  176. long double BOOST_MATH_TR1_DECL boost_fmal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, long double z) BOOST_MATH_C99_THROW_SPEC;
    177. 

  177. #endif
    178. 

  178. double BOOST_MATH_TR1_DECL boost_fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
    179. 

  179. float BOOST_MATH_TR1_DECL boost_fmaxf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
    180. 

  180. long double BOOST_MATH_TR1_DECL boost_fmaxl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
    181. 

  181. 

  182. double BOOST_MATH_TR1_DECL boost_fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
    183. 

  183. float BOOST_MATH_TR1_DECL boost_fminf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
    184. 

  184. long double BOOST_MATH_TR1_DECL boost_fminl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
    185. 

  185. 

  186. double BOOST_MATH_TR1_DECL boost_hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
    187. 

  187. float BOOST_MATH_TR1_DECL boost_hypotf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
    188. 

  188. long double BOOST_MATH_TR1_DECL boost_hypotl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
    189. 

  189. #if 0
    190. 

  190. int BOOST_MATH_TR1_DECL boost_ilogb BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    191. 

  191. int BOOST_MATH_TR1_DECL boost_ilogbf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    192. 

  192. int BOOST_MATH_TR1_DECL boost_ilogbl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    193. 

  193. #endif
    194. 

  194. double BOOST_MATH_TR1_DECL boost_lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    195. 

  195. float BOOST_MATH_TR1_DECL boost_lgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    196. 

  196. long double BOOST_MATH_TR1_DECL boost_lgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    197. 

  197. 

  198. long long BOOST_MATH_TR1_DECL boost_llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    199. 

  199. long long BOOST_MATH_TR1_DECL boost_llroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    200. 

  200. long long BOOST_MATH_TR1_DECL boost_llroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    201. 

  201. 

  202. double BOOST_MATH_TR1_DECL boost_log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    203. 

  203. float BOOST_MATH_TR1_DECL boost_log1pf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    204. 

  204. long double BOOST_MATH_TR1_DECL boost_log1pl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    205. 

  205. #if 0
    206. 

  206. double BOOST_MATH_TR1_DECL log2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    207. 

  207. float BOOST_MATH_TR1_DECL log2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    208. 

  208. long double BOOST_MATH_TR1_DECL log2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    209. 

  209. 

  210. double BOOST_MATH_TR1_DECL logb BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    211. 

  211. float BOOST_MATH_TR1_DECL logbf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    212. 

  212. long double BOOST_MATH_TR1_DECL logbl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    213. 

  213. long BOOST_MATH_TR1_DECL lrint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    214. 

  214. long BOOST_MATH_TR1_DECL lrintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    215. 

  215. long BOOST_MATH_TR1_DECL lrintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    216. 

  216. #endif
    217. 

  217. long BOOST_MATH_TR1_DECL boost_lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    218. 

  218. long BOOST_MATH_TR1_DECL boost_lroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    219. 

  219. long BOOST_MATH_TR1_DECL boost_lroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    220. 

  220. #if 0
    221. 

  221. double BOOST_MATH_TR1_DECL nan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC;
    222. 

  222. float BOOST_MATH_TR1_DECL nanf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC;
    223. 

  223. long double BOOST_MATH_TR1_DECL nanl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str) BOOST_MATH_C99_THROW_SPEC;
    224. 

  224. double BOOST_MATH_TR1_DECL nearbyint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    225. 

  225. float BOOST_MATH_TR1_DECL nearbyintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    226. 

  226. long double BOOST_MATH_TR1_DECL nearbyintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    227. 

  227. #endif
    228. 

  228. double BOOST_MATH_TR1_DECL boost_nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
    229. 

  229. float BOOST_MATH_TR1_DECL boost_nextafterf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
    230. 

  230. long double BOOST_MATH_TR1_DECL boost_nextafterl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
    231. 

  231. 

  232. double BOOST_MATH_TR1_DECL boost_nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, long double y) BOOST_MATH_C99_THROW_SPEC;
    233. 

  233. float BOOST_MATH_TR1_DECL boost_nexttowardf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, long double y) BOOST_MATH_C99_THROW_SPEC;
    234. 

  234. long double BOOST_MATH_TR1_DECL boost_nexttowardl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
    235. 

  235. #if 0
    236. 

  236. double BOOST_MATH_TR1_DECL boost_remainder BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
    237. 

  237. float BOOST_MATH_TR1_DECL boost_remainderf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
    238. 

  238. long double BOOST_MATH_TR1_DECL boost_remainderl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
    239. 

  239. double BOOST_MATH_TR1_DECL boost_remquo BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y, int *pquo) BOOST_MATH_C99_THROW_SPEC;
    240. 

  240. float BOOST_MATH_TR1_DECL boost_remquof BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y, int *pquo) BOOST_MATH_C99_THROW_SPEC;
    241. 

  241. long double BOOST_MATH_TR1_DECL boost_remquol BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, int *pquo) BOOST_MATH_C99_THROW_SPEC;
    242. 

  242. double BOOST_MATH_TR1_DECL boost_rint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    243. 

  243. float BOOST_MATH_TR1_DECL boost_rintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    244. 

  244. long double BOOST_MATH_TR1_DECL boost_rintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    245. 

  245. #endif
    246. 

  246. double BOOST_MATH_TR1_DECL boost_round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    247. 

  247. float BOOST_MATH_TR1_DECL boost_roundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    248. 

  248. long double BOOST_MATH_TR1_DECL boost_roundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    249. 

  249. #if 0
    250. 

  250. double BOOST_MATH_TR1_DECL boost_scalbln BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, long ex) BOOST_MATH_C99_THROW_SPEC;
    251. 

  251. float BOOST_MATH_TR1_DECL boost_scalblnf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, long ex) BOOST_MATH_C99_THROW_SPEC;
    252. 

  252. long double BOOST_MATH_TR1_DECL boost_scalblnl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long ex) BOOST_MATH_C99_THROW_SPEC;
    253. 

  253. double BOOST_MATH_TR1_DECL boost_scalbn BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, int ex) BOOST_MATH_C99_THROW_SPEC;
    254. 

  254. float BOOST_MATH_TR1_DECL boost_scalbnf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, int ex) BOOST_MATH_C99_THROW_SPEC;
    255. 

  255. long double BOOST_MATH_TR1_DECL boost_scalbnl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, int ex) BOOST_MATH_C99_THROW_SPEC;
    256. 

  256. #endif
    257. 

  257. double BOOST_MATH_TR1_DECL boost_tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    258. 

  258. float BOOST_MATH_TR1_DECL boost_tgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    259. 

  259. long double BOOST_MATH_TR1_DECL boost_tgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    260. 

  260. 

  261. double BOOST_MATH_TR1_DECL boost_trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    262. 

  262. float BOOST_MATH_TR1_DECL boost_truncf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    263. 

  263. long double BOOST_MATH_TR1_DECL boost_truncl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    264. 

  264. 

  265. // [5.2.1.1] associated Laguerre polynomials:
    266. 

  266. double BOOST_MATH_TR1_DECL boost_assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC;
    267. 

  267. float BOOST_MATH_TR1_DECL boost_assoc_laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC;
    268. 

  268. long double BOOST_MATH_TR1_DECL boost_assoc_laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x) BOOST_MATH_C99_THROW_SPEC;
    269. 

  269. 

  270. // [5.2.1.2] associated Legendre functions:
    271. 

  271. double BOOST_MATH_TR1_DECL boost_assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double x) BOOST_MATH_C99_THROW_SPEC;
    272. 

  272. float BOOST_MATH_TR1_DECL boost_assoc_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x) BOOST_MATH_C99_THROW_SPEC;
    273. 

  273. long double BOOST_MATH_TR1_DECL boost_assoc_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x) BOOST_MATH_C99_THROW_SPEC;
    274. 

  274. 

  275. // [5.2.1.3] beta function:
    276. 

  276. double BOOST_MATH_TR1_DECL boost_beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y) BOOST_MATH_C99_THROW_SPEC;
    277. 

  277. float BOOST_MATH_TR1_DECL boost_betaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y) BOOST_MATH_C99_THROW_SPEC;
    278. 

  278. long double BOOST_MATH_TR1_DECL boost_betal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y) BOOST_MATH_C99_THROW_SPEC;
    279. 

  279. 

  280. // [5.2.1.4] (complete) elliptic integral of the first kind:
    281. 

  281. double BOOST_MATH_TR1_DECL boost_comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k) BOOST_MATH_C99_THROW_SPEC;
    282. 

  282. float BOOST_MATH_TR1_DECL boost_comp_ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k) BOOST_MATH_C99_THROW_SPEC;
    283. 

  283. long double BOOST_MATH_TR1_DECL boost_comp_ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k) BOOST_MATH_C99_THROW_SPEC;
    284. 

  284. 

  285. // [5.2.1.5] (complete) elliptic integral of the second kind:
    286. 

  286. double BOOST_MATH_TR1_DECL boost_comp_ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k) BOOST_MATH_C99_THROW_SPEC;
    287. 

  287. float BOOST_MATH_TR1_DECL boost_comp_ellint_2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k) BOOST_MATH_C99_THROW_SPEC;
    288. 

  288. long double BOOST_MATH_TR1_DECL boost_comp_ellint_2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k) BOOST_MATH_C99_THROW_SPEC;
    289. 

  289. 

  290. // [5.2.1.6] (complete) elliptic integral of the third kind:
    291. 

  291. double BOOST_MATH_TR1_DECL boost_comp_ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double nu) BOOST_MATH_C99_THROW_SPEC;
    292. 

  292. float BOOST_MATH_TR1_DECL boost_comp_ellint_3f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float nu) BOOST_MATH_C99_THROW_SPEC;
    293. 

  293. long double BOOST_MATH_TR1_DECL boost_comp_ellint_3l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu) BOOST_MATH_C99_THROW_SPEC;
    294. 

  294. #if 0
    295. 

  295. // [5.2.1.7] confluent hypergeometric functions:
    296. 

  296. double BOOST_MATH_TR1_DECL conf_hyperg BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double a, double c, double x) BOOST_MATH_C99_THROW_SPEC;
    297. 

  297. float BOOST_MATH_TR1_DECL conf_hypergf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float a, float c, float x) BOOST_MATH_C99_THROW_SPEC;
    298. 

  298. long double BOOST_MATH_TR1_DECL conf_hypergl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double a, long double c, long double x) BOOST_MATH_C99_THROW_SPEC;
    299. 

  299. #endif
    300. 

  300. // [5.2.1.8] regular modified cylindrical Bessel functions:
    301. 

  301. double BOOST_MATH_TR1_DECL boost_cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
    302. 

  302. float BOOST_MATH_TR1_DECL boost_cyl_bessel_if BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
    303. 

  303. long double BOOST_MATH_TR1_DECL boost_cyl_bessel_il BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
    304. 

  304. 

  305. // [5.2.1.9] cylindrical Bessel functions (of the first kind):
    306. 

  306. double BOOST_MATH_TR1_DECL boost_cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
    307. 

  307. float BOOST_MATH_TR1_DECL boost_cyl_bessel_jf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
    308. 

  308. long double BOOST_MATH_TR1_DECL boost_cyl_bessel_jl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
    309. 

  309. 

  310. // [5.2.1.10] irregular modified cylindrical Bessel functions:
    311. 

  311. double BOOST_MATH_TR1_DECL boost_cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
    312. 

  312. float BOOST_MATH_TR1_DECL boost_cyl_bessel_kf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
    313. 

  313. long double BOOST_MATH_TR1_DECL boost_cyl_bessel_kl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
    314. 

  314. 

  315. // [5.2.1.11] cylindrical Neumann functions BOOST_MATH_C99_THROW_SPEC;
    316. 

  316. // cylindrical Bessel functions (of the second kind):
    317. 

  317. double BOOST_MATH_TR1_DECL boost_cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x) BOOST_MATH_C99_THROW_SPEC;
    318. 

  318. float BOOST_MATH_TR1_DECL boost_cyl_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x) BOOST_MATH_C99_THROW_SPEC;
    319. 

  319. long double BOOST_MATH_TR1_DECL boost_cyl_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x) BOOST_MATH_C99_THROW_SPEC;
    320. 

  320. 

  321. // [5.2.1.12] (incomplete) elliptic integral of the first kind:
    322. 

  322. double BOOST_MATH_TR1_DECL boost_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC;
    323. 

  323. float BOOST_MATH_TR1_DECL boost_ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC;
    324. 

  324. long double BOOST_MATH_TR1_DECL boost_ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) BOOST_MATH_C99_THROW_SPEC;
    325. 

  325. 

  326. // [5.2.1.13] (incomplete) elliptic integral of the second kind:
    327. 

  327. double BOOST_MATH_TR1_DECL boost_ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double phi) BOOST_MATH_C99_THROW_SPEC;
    328. 

  328. float BOOST_MATH_TR1_DECL boost_ellint_2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi) BOOST_MATH_C99_THROW_SPEC;
    329. 

  329. long double BOOST_MATH_TR1_DECL boost_ellint_2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi) BOOST_MATH_C99_THROW_SPEC;
    330. 

  330. 

  331. // [5.2.1.14] (incomplete) elliptic integral of the third kind:
    332. 

  332. double BOOST_MATH_TR1_DECL boost_ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double nu, double phi) BOOST_MATH_C99_THROW_SPEC;
    333. 

  333. float BOOST_MATH_TR1_DECL boost_ellint_3f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi) BOOST_MATH_C99_THROW_SPEC;
    334. 

  334. long double BOOST_MATH_TR1_DECL boost_ellint_3l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi) BOOST_MATH_C99_THROW_SPEC;
    335. 

  335. 

  336. // [5.2.1.15] exponential integral:
    337. 

  337. double BOOST_MATH_TR1_DECL boost_expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x) BOOST_MATH_C99_THROW_SPEC;
    338. 

  338. float BOOST_MATH_TR1_DECL boost_expintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x) BOOST_MATH_C99_THROW_SPEC;
    339. 

  339. long double BOOST_MATH_TR1_DECL boost_expintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x) BOOST_MATH_C99_THROW_SPEC;
    340. 

  340. 

  341. // [5.2.1.16] Hermite polynomials:
    342. 

  342. double BOOST_MATH_TR1_DECL boost_hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
    343. 

  343. float BOOST_MATH_TR1_DECL boost_hermitef BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
    344. 

  344. long double BOOST_MATH_TR1_DECL boost_hermitel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
    345. 

  345. 

  346. #if 0
    347. 

  347. // [5.2.1.17] hypergeometric functions:
    348. 

  348. double BOOST_MATH_TR1_DECL hyperg BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double a, double b, double c, double x) BOOST_MATH_C99_THROW_SPEC;
    349. 

  349. float BOOST_MATH_TR1_DECL hypergf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float a, float b, float c, float x) BOOST_MATH_C99_THROW_SPEC;
    350. 

  350. long double BOOST_MATH_TR1_DECL hypergl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double a, long double b, long double c,
    351. 

  351. long double x) BOOST_MATH_C99_THROW_SPEC;
    352. 

  352. #endif
    353. 

  353. 

  354. // [5.2.1.18] Laguerre polynomials:
    355. 

  355. double BOOST_MATH_TR1_DECL boost_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
    356. 

  356. float BOOST_MATH_TR1_DECL boost_laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
    357. 

  357. long double BOOST_MATH_TR1_DECL boost_laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
    358. 

  358. 

  359. // [5.2.1.19] Legendre polynomials:
    360. 

  360. double BOOST_MATH_TR1_DECL boost_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, double x) BOOST_MATH_C99_THROW_SPEC;
    361. 

  361. float BOOST_MATH_TR1_DECL boost_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x) BOOST_MATH_C99_THROW_SPEC;
    362. 

  362. long double BOOST_MATH_TR1_DECL boost_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, long double x) BOOST_MATH_C99_THROW_SPEC;
    363. 

  363. 

  364. // [5.2.1.20] Riemann zeta function:
    365. 

  365. double BOOST_MATH_TR1_DECL boost_riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double) BOOST_MATH_C99_THROW_SPEC;
    366. 

  366. float BOOST_MATH_TR1_DECL boost_riemann_zetaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float) BOOST_MATH_C99_THROW_SPEC;
    367. 

  367. long double BOOST_MATH_TR1_DECL boost_riemann_zetal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double) BOOST_MATH_C99_THROW_SPEC;
    368. 

  368. 

  369. // [5.2.1.21] spherical Bessel functions (of the first kind):
    370. 

  370. double BOOST_MATH_TR1_DECL boost_sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
    371. 

  371. float BOOST_MATH_TR1_DECL boost_sph_besself BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
    372. 

  372. long double BOOST_MATH_TR1_DECL boost_sph_bessell BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
    373. 

  373. 

  374. // [5.2.1.22] spherical associated Legendre functions:
    375. 

  375. double BOOST_MATH_TR1_DECL boost_sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double theta) BOOST_MATH_C99_THROW_SPEC;
    376. 

  376. float BOOST_MATH_TR1_DECL boost_sph_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta) BOOST_MATH_C99_THROW_SPEC;
    377. 

  377. long double BOOST_MATH_TR1_DECL boost_sph_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double theta) BOOST_MATH_C99_THROW_SPEC;
    378. 

  378. 

  379. // [5.2.1.23] spherical Neumann functions BOOST_MATH_C99_THROW_SPEC;
    380. 

  380. // spherical Bessel functions (of the second kind):
    381. 

  381. double BOOST_MATH_TR1_DECL boost_sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x) BOOST_MATH_C99_THROW_SPEC;
    382. 

  382. float BOOST_MATH_TR1_DECL boost_sph_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x) BOOST_MATH_C99_THROW_SPEC;
    383. 

  383. long double BOOST_MATH_TR1_DECL boost_sph_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x) BOOST_MATH_C99_THROW_SPEC;
    384. 

  384. 

  385. #ifdef __cplusplus
    386. 

  386. 

  387. }}}}  // namespaces
    388. 

  388. 

  389. #include <boost/math/tools/promotion.hpp>
    390. 

  390. 

  391. namespace boost{ namespace math{ namespace tr1{
    392. 

  392. //
    393. 

  393. // Declare overload of the functions which forward to the
    394. 

  394. // C interfaces:
    395. 

  395. //
    396. 

  396. // C99 Functions:
    397. 

  397. inline double acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    398. 

  398. { return boost::math::tr1::boost_acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    399. 

  399. inline float acoshf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    400. 

  400. { return boost::math::tr1::boost_acoshf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    401. 

  401. inline long double acoshl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    402. 

  402. { return boost::math::tr1::boost_acoshl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    403. 

  403. inline float acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    404. 

  404. { return boost::math::tr1::acoshf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    405. 

  405. inline long double acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    406. 

  406. { return boost::math::tr1::acoshl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    407. 

  407. template <class T>
    408. 

  408. inline typename tools::promote_args<T>::type acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    409. 

  409. { return boost::math::tr1::acosh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    410. 

  410. 

  411. inline double asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    412. 

  412. { return boost::math::tr1::boost_asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    413. 

  413. inline float asinhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    414. 

  414. { return boost::math::tr1::boost_asinhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    415. 

  415. inline long double asinhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    416. 

  416. { return boost::math::tr1::boost_asinhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    417. 

  417. inline float asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    418. 

  418. { return boost::math::tr1::asinhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    419. 

  419. inline long double asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    420. 

  420. { return boost::math::tr1::asinhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    421. 

  421. template <class T>
    422. 

  422. inline typename tools::promote_args<T>::type asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    423. 

  423. { return boost::math::tr1::asinh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    424. 

  424. 

  425. inline double atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    426. 

  426. { return boost::math::tr1::boost_atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    427. 

  427. inline float atanhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    428. 

  428. { return boost::math::tr1::boost_atanhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    429. 

  429. inline long double atanhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    430. 

  430. { return boost::math::tr1::boost_atanhl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    431. 

  431. inline float atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    432. 

  432. { return boost::math::tr1::atanhf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    433. 

  433. inline long double atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    434. 

  434. { return boost::math::tr1::atanhl(x); }
    435. 

  435. template <class T>
    436. 

  436. inline typename tools::promote_args<T>::type atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    437. 

  437. { return boost::math::tr1::atanh BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    438. 

  438. 

  439. inline double cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    440. 

  440. { return boost::math::tr1::boost_cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    441. 

  441. inline float cbrtf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    442. 

  442. { return boost::math::tr1::boost_cbrtf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    443. 

  443. inline long double cbrtl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    444. 

  444. { return boost::math::tr1::boost_cbrtl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    445. 

  445. inline float cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    446. 

  446. { return boost::math::tr1::cbrtf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    447. 

  447. inline long double cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    448. 

  448. { return boost::math::tr1::cbrtl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    449. 

  449. template <class T>
    450. 

  450. inline typename tools::promote_args<T>::type cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    451. 

  451. { return boost::math::tr1::cbrt BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    452. 

  452. 

  453. inline double copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y)
    454. 

  454. { return boost::math::tr1::boost_copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    455. 

  455. inline float copysignf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    456. 

  456. { return boost::math::tr1::boost_copysignf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    457. 

  457. inline long double copysignl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    458. 

  458. { return boost::math::tr1::boost_copysignl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    459. 

  459. inline float copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    460. 

  460. { return boost::math::tr1::copysignf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    461. 

  461. inline long double copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    462. 

  462. { return boost::math::tr1::copysignl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    463. 

  463. template <class T1, class T2>
    464. 

  464. inline typename tools::promote_args<T1, T2>::type copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
    465. 

  465. { return boost::math::tr1::copysign BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
    466. 

  466. 

  467. inline double erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    468. 

  468. { return boost::math::tr1::boost_erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    469. 

  469. inline float erff BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    470. 

  470. { return boost::math::tr1::boost_erff BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    471. 

  471. inline long double erfl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    472. 

  472. { return boost::math::tr1::boost_erfl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    473. 

  473. inline float erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    474. 

  474. { return boost::math::tr1::erff BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    475. 

  475. inline long double erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    476. 

  476. { return boost::math::tr1::erfl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    477. 

  477. template <class T>
    478. 

  478. inline typename tools::promote_args<T>::type erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    479. 

  479. { return boost::math::tr1::erf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    480. 

  480. 

  481. inline double erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    482. 

  482. { return boost::math::tr1::boost_erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    483. 

  483. inline float erfcf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    484. 

  484. { return boost::math::tr1::boost_erfcf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    485. 

  485. inline long double erfcl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    486. 

  486. { return boost::math::tr1::boost_erfcl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    487. 

  487. inline float erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    488. 

  488. { return boost::math::tr1::erfcf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    489. 

  489. inline long double erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    490. 

  490. { return boost::math::tr1::erfcl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    491. 

  491. template <class T>
    492. 

  492. inline typename tools::promote_args<T>::type erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    493. 

  493. { return boost::math::tr1::erfc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    494. 

  494. 

  495. #if 0
    496. 

  496. double exp2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x);
    497. 

  497. float exp2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x);
    498. 

  498. long double exp2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x);
    499. 

  499. #endif
    500. 

  500. 

  501. inline float expm1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    502. 

  502. { return boost::math::tr1::boost_expm1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    503. 

  503. inline double expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    504. 

  504. { return boost::math::tr1::boost_expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    505. 

  505. inline long double expm1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    506. 

  506. { return boost::math::tr1::boost_expm1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    507. 

  507. inline float expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    508. 

  508. { return boost::math::tr1::expm1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    509. 

  509. inline long double expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    510. 

  510. { return boost::math::tr1::expm1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    511. 

  511. template <class T>
    512. 

  512. inline typename tools::promote_args<T>::type expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    513. 

  513. { return boost::math::tr1::expm1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    514. 

  514. 

  515. #if 0
    516. 

  516. double fdim BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y);
    517. 

  517. float fdimf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y);
    518. 

  518. long double fdiml BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y);
    519. 

  519. double fma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y, double z);
    520. 

  520. float fmaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y, float z);
    521. 

  521. long double fmal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, long double z);
    522. 

  522. #endif
    523. 

  523. inline double fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y)
    524. 

  524. { return boost::math::tr1::boost_fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    525. 

  525. inline float fmaxf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    526. 

  526. { return boost::math::tr1::boost_fmaxf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    527. 

  527. inline long double fmaxl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    528. 

  528. { return boost::math::tr1::boost_fmaxl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    529. 

  529. inline float fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    530. 

  530. { return boost::math::tr1::fmaxf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    531. 

  531. inline long double fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    532. 

  532. { return boost::math::tr1::fmaxl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    533. 

  533. template <class T1, class T2>
    534. 

  534. inline typename tools::promote_args<T1, T2>::type fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
    535. 

  535. { return boost::math::tr1::fmax BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
    536. 

  536. 

  537. inline double fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y)
    538. 

  538. { return boost::math::tr1::boost_fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    539. 

  539. inline float fminf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    540. 

  540. { return boost::math::tr1::boost_fminf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    541. 

  541. inline long double fminl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    542. 

  542. { return boost::math::tr1::boost_fminl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    543. 

  543. inline float fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    544. 

  544. { return boost::math::tr1::fminf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    545. 

  545. inline long double fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    546. 

  546. { return boost::math::tr1::fminl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    547. 

  547. template <class T1, class T2>
    548. 

  548. inline typename tools::promote_args<T1, T2>::type fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
    549. 

  549. { return boost::math::tr1::fmin BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
    550. 

  550. 

  551. inline float hypotf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    552. 

  552. { return boost::math::tr1::boost_hypotf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    553. 

  553. inline double hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y)
    554. 

  554. { return boost::math::tr1::boost_hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    555. 

  555. inline long double hypotl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    556. 

  556. { return boost::math::tr1::boost_hypotl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    557. 

  557. inline float hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    558. 

  558. { return boost::math::tr1::hypotf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    559. 

  559. inline long double hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    560. 

  560. { return boost::math::tr1::hypotl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    561. 

  561. template <class T1, class T2>
    562. 

  562. inline typename tools::promote_args<T1, T2>::type hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
    563. 

  563. { return boost::math::tr1::hypot BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
    564. 

  564. 

  565. #if 0
    566. 

  566. int ilogb BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x);
    567. 

  567. int ilogbf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x);
    568. 

  568. int ilogbl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x);
    569. 

  569. #endif
    570. 

  570. 

  571. inline float lgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    572. 

  572. { return boost::math::tr1::boost_lgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    573. 

  573. inline double lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    574. 

  574. { return boost::math::tr1::boost_lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    575. 

  575. inline long double lgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    576. 

  576. { return boost::math::tr1::boost_lgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    577. 

  577. inline float lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    578. 

  578. { return boost::math::tr1::lgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    579. 

  579. inline long double lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    580. 

  580. { return boost::math::tr1::lgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    581. 

  581. template <class T>
    582. 

  582. inline typename tools::promote_args<T>::type lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    583. 

  583. { return boost::math::tr1::lgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    584. 

  584. 

  585. #ifdef BOOST_HAS_LONG_LONG
    586. 

  586. #if 0
    587. 

  587. long long llrint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x);
    588. 

  588. long long llrintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x);
    589. 

  589. long long llrintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x);
    590. 

  590. #endif
    591. 

  591. 

  592. inline long long llroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    593. 

  593. { return boost::math::tr1::boost_llroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    594. 

  594. inline long long llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    595. 

  595. { return boost::math::tr1::boost_llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    596. 

  596. inline long long llroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    597. 

  597. { return boost::math::tr1::boost_llroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    598. 

  598. inline long long llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    599. 

  599. { return boost::math::tr1::llroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    600. 

  600. inline long long llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    601. 

  601. { return boost::math::tr1::llroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    602. 

  602. template <class T>
    603. 

  603. inline long long llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    604. 

  604. { return llround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<double>(x)); }
    605. 

  605. #endif
    606. 

  606. 

  607. inline float log1pf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    608. 

  608. { return boost::math::tr1::boost_log1pf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    609. 

  609. inline double log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    610. 

  610. { return boost::math::tr1::boost_log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    611. 

  611. inline long double log1pl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    612. 

  612. { return boost::math::tr1::boost_log1pl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    613. 

  613. inline float log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    614. 

  614. { return boost::math::tr1::log1pf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    615. 

  615. inline long double log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    616. 

  616. { return boost::math::tr1::log1pl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    617. 

  617. template <class T>
    618. 

  618. inline typename tools::promote_args<T>::type log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    619. 

  619. { return boost::math::tr1::log1p BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    620. 

  620. #if 0
    621. 

  621. double log2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x);
    622. 

  622. float log2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x);
    623. 

  623. long double log2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x);
    624. 

  624. 

  625. double logb BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x);
    626. 

  626. float logbf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x);
    627. 

  627. long double logbl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x);
    628. 

  628. long lrint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x);
    629. 

  629. long lrintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x);
    630. 

  630. long lrintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x);
    631. 

  631. #endif
    632. 

  632. inline long lroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    633. 

  633. { return boost::math::tr1::boost_lroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    634. 

  634. inline long lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    635. 

  635. { return boost::math::tr1::boost_lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    636. 

  636. inline long lroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    637. 

  637. { return boost::math::tr1::boost_lroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    638. 

  638. inline long lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    639. 

  639. { return boost::math::tr1::lroundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    640. 

  640. inline long lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    641. 

  641. { return boost::math::tr1::lroundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    642. 

  642. template <class T>
    643. 

  643. long lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    644. 

  644. { return boost::math::tr1::lround BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<double>(x)); }
    645. 

  645. #if 0
    646. 

  646. double nan BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str);
    647. 

  647. float nanf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str);
    648. 

  648. long double nanl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(const char *str);
    649. 

  649. double nearbyint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x);
    650. 

  650. float nearbyintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x);
    651. 

  651. long double nearbyintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x);
    652. 

  652. #endif
    653. 

  653. inline float nextafterf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    654. 

  654. { return boost::math::tr1::boost_nextafterf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    655. 

  655. inline double nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y)
    656. 

  656. { return boost::math::tr1::boost_nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    657. 

  657. inline long double nextafterl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    658. 

  658. { return boost::math::tr1::boost_nextafterl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    659. 

  659. inline float nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    660. 

  660. { return boost::math::tr1::nextafterf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    661. 

  661. inline long double nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    662. 

  662. { return boost::math::tr1::nextafterl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    663. 

  663. template <class T1, class T2>
    664. 

  664. inline typename tools::promote_args<T1, T2>::type nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
    665. 

  665. { return boost::math::tr1::nextafter BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
    666. 

  666. 

  667. inline float nexttowardf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    668. 

  668. { return boost::math::tr1::boost_nexttowardf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    669. 

  669. inline double nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y)
    670. 

  670. { return boost::math::tr1::boost_nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    671. 

  671. inline long double nexttowardl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    672. 

  672. { return boost::math::tr1::boost_nexttowardl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    673. 

  673. inline float nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    674. 

  674. { return boost::math::tr1::nexttowardf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    675. 

  675. inline long double nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    676. 

  676. { return boost::math::tr1::nexttowardl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    677. 

  677. template <class T1, class T2>
    678. 

  678. inline typename tools::promote_args<T1, T2>::type nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 x, T2 y)
    679. 

  679. { return static_cast<typename tools::promote_args<T1, T2>::type>(boost::math::tr1::nexttoward BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<long double>(y))); }
    680. 

  680. #if 0
    681. 

  681. double remainder BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y);
    682. 

  682. float remainderf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y);
    683. 

  683. long double remainderl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y);
    684. 

  684. double remquo BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y, int *pquo);
    685. 

  685. float remquof BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y, int *pquo);
    686. 

  686. long double remquol BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y, int *pquo);
    687. 

  687. double rint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x);
    688. 

  688. float rintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x);
    689. 

  689. long double rintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x);
    690. 

  690. #endif
    691. 

  691. inline float roundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    692. 

  692. { return boost::math::tr1::boost_roundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    693. 

  693. inline double round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    694. 

  694. { return boost::math::tr1::boost_round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    695. 

  695. inline long double roundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    696. 

  696. { return boost::math::tr1::boost_roundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    697. 

  697. inline float round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    698. 

  698. { return boost::math::tr1::roundf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    699. 

  699. inline long double round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    700. 

  700. { return boost::math::tr1::roundl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    701. 

  701. template <class T>
    702. 

  702. inline typename tools::promote_args<T>::type round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    703. 

  703. { return boost::math::tr1::round BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    704. 

  704. #if 0
    705. 

  705. double scalbln BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, long ex);
    706. 

  706. float scalblnf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, long ex);
    707. 

  707. long double scalblnl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long ex);
    708. 

  708. double scalbn BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, int ex);
    709. 

  709. float scalbnf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, int ex);
    710. 

  710. long double scalbnl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, int ex);
    711. 

  711. #endif
    712. 

  712. inline float tgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    713. 

  713. { return boost::math::tr1::boost_tgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    714. 

  714. inline double tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    715. 

  715. { return boost::math::tr1::boost_tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    716. 

  716. inline long double tgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    717. 

  717. { return boost::math::tr1::boost_tgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    718. 

  718. inline float tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    719. 

  719. { return boost::math::tr1::tgammaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    720. 

  720. inline long double tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    721. 

  721. { return boost::math::tr1::tgammal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    722. 

  722. template <class T>
    723. 

  723. inline typename tools::promote_args<T>::type tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    724. 

  724. { return boost::math::tr1::tgamma BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    725. 

  725. 

  726. inline float truncf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    727. 

  727. { return boost::math::tr1::boost_truncf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    728. 

  728. inline double trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    729. 

  729. { return boost::math::tr1::boost_trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    730. 

  730. inline long double truncl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    731. 

  731. { return boost::math::tr1::boost_truncl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    732. 

  732. inline float trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    733. 

  733. { return boost::math::tr1::truncf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    734. 

  734. inline long double trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    735. 

  735. { return boost::math::tr1::truncl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    736. 

  736. template <class T>
    737. 

  737. inline typename tools::promote_args<T>::type trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    738. 

  738. { return boost::math::tr1::trunc BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    739. 

  739. 

  740. # define NO_MACRO_EXPAND /**/
    741. 

  741. // C99 macros defined as C++ templates
    742. 

  742. template<class T> bool signbit NO_MACRO_EXPAND(T)
    743. 

  743. { static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); return false; } // must not be instantiated
    744. 

  744. template<> bool BOOST_MATH_TR1_DECL signbit<float> NO_MACRO_EXPAND(float x);
    745. 

  745. template<> bool BOOST_MATH_TR1_DECL signbit<double> NO_MACRO_EXPAND(double x);
    746. 

  746. template<> bool BOOST_MATH_TR1_DECL signbit<long double> NO_MACRO_EXPAND(long double x);
    747. 

  747. 

  748. template<class T> int fpclassify NO_MACRO_EXPAND(T)
    749. 

  749. { static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); return false; } // must not be instantiated
    750. 

  750. template<> int BOOST_MATH_TR1_DECL fpclassify<float> NO_MACRO_EXPAND(float x);
    751. 

  751. template<> int BOOST_MATH_TR1_DECL fpclassify<double> NO_MACRO_EXPAND(double x);
    752. 

  752. template<> int BOOST_MATH_TR1_DECL fpclassify<long double> NO_MACRO_EXPAND(long double x);
    753. 

  753. 

  754. template<class T> bool isfinite NO_MACRO_EXPAND(T)
    755. 

  755. { static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); return false; } // must not be instantiated
    756. 

  756. template<> bool BOOST_MATH_TR1_DECL isfinite<float> NO_MACRO_EXPAND(float x);
    757. 

  757. template<> bool BOOST_MATH_TR1_DECL isfinite<double> NO_MACRO_EXPAND(double x);
    758. 

  758. template<> bool BOOST_MATH_TR1_DECL isfinite<long double> NO_MACRO_EXPAND(long double x);
    759. 

  759. 

  760. template<class T> bool isinf NO_MACRO_EXPAND(T)
    761. 

  761. { static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); return false; } // must not be instantiated
    762. 

  762. template<> bool BOOST_MATH_TR1_DECL isinf<float> NO_MACRO_EXPAND(float x);
    763. 

  763. template<> bool BOOST_MATH_TR1_DECL isinf<double> NO_MACRO_EXPAND(double x);
    764. 

  764. template<> bool BOOST_MATH_TR1_DECL isinf<long double> NO_MACRO_EXPAND(long double x);
    765. 

  765. 

  766. template<class T> bool isnan NO_MACRO_EXPAND(T)
    767. 

  767. { static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); return false; } // must not be instantiated
    768. 

  768. template<> bool BOOST_MATH_TR1_DECL isnan<float> NO_MACRO_EXPAND(float x);
    769. 

  769. template<> bool BOOST_MATH_TR1_DECL isnan<double> NO_MACRO_EXPAND(double x);
    770. 

  770. template<> bool BOOST_MATH_TR1_DECL isnan<long double> NO_MACRO_EXPAND(long double x);
    771. 

  771. 

  772. template<class T> bool isnormal NO_MACRO_EXPAND(T)
    773. 

  773. { static_assert(sizeof(T) == 0, "Undefined behavior; this template should never be instantiated"); return false; } // must not be instantiated
    774. 

  774. template<> bool BOOST_MATH_TR1_DECL isnormal<float> NO_MACRO_EXPAND(float x);
    775. 

  775. template<> bool BOOST_MATH_TR1_DECL isnormal<double> NO_MACRO_EXPAND(double x);
    776. 

  776. template<> bool BOOST_MATH_TR1_DECL isnormal<long double> NO_MACRO_EXPAND(long double x);
    777. 

  777. 

  778. #undef NO_MACRO_EXPAND
    779. 

  779. 

  780. // [5.2.1.1] associated Laguerre polynomials:
    781. 

  781. inline float assoc_laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x)
    782. 

  782. { return boost::math::tr1::boost_assoc_laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
    783. 

  783. inline double assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, double x)
    784. 

  784. { return boost::math::tr1::boost_assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
    785. 

  785. inline long double assoc_laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x)
    786. 

  786. { return boost::math::tr1::boost_assoc_laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
    787. 

  787. inline float assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, float x)
    788. 

  788. { return boost::math::tr1::assoc_laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
    789. 

  789. inline long double assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, long double x)
    790. 

  790. { return boost::math::tr1::assoc_laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, m, x); }
    791. 

  791. template <class T>
    792. 

  792. inline typename tools::promote_args<T>::type assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, unsigned m, T x)
    793. 

  793. { return boost::math::tr1::assoc_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, m, static_cast<typename tools::promote_args<T>::type>(x)); }
    794. 

  794. 

  795. // [5.2.1.2] associated Legendre functions:
    796. 

  796. inline float assoc_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x)
    797. 

  797. { return boost::math::tr1::boost_assoc_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
    798. 

  798. inline double assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double x)
    799. 

  799. { return boost::math::tr1::boost_assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
    800. 

  800. inline long double assoc_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x)
    801. 

  801. { return boost::math::tr1::boost_assoc_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
    802. 

  802. inline float assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float x)
    803. 

  803. { return boost::math::tr1::assoc_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
    804. 

  804. inline long double assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double x)
    805. 

  805. { return boost::math::tr1::assoc_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, x); }
    806. 

  806. template <class T>
    807. 

  807. inline typename tools::promote_args<T>::type assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, T x)
    808. 

  808. { return boost::math::tr1::assoc_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, static_cast<typename tools::promote_args<T>::type>(x)); }
    809. 

  809. 

  810. // [5.2.1.3] beta function:
    811. 

  811. inline float betaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    812. 

  812. { return boost::math::tr1::boost_betaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    813. 

  813. inline double beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x, double y)
    814. 

  814. { return boost::math::tr1::boost_beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    815. 

  815. inline long double betal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    816. 

  816. { return boost::math::tr1::boost_betal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    817. 

  817. inline float beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x, float y)
    818. 

  818. { return boost::math::tr1::betaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    819. 

  819. inline long double beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x, long double y)
    820. 

  820. { return boost::math::tr1::betal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x, y); }
    821. 

  821. template <class T1, class T2>
    822. 

  822. inline typename tools::promote_args<T1, T2>::type beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T2 x, T1 y)
    823. 

  823. { return boost::math::tr1::beta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(x), static_cast<typename tools::promote_args<T1, T2>::type>(y)); }
    824. 

  824. 

  825. // [5.2.1.4] (complete) elliptic integral of the first kind:
    826. 

  826. inline float comp_ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k)
    827. 

  827. { return boost::math::tr1::boost_comp_ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k); }
    828. 

  828. inline double comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k)
    829. 

  829. { return boost::math::tr1::boost_comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k); }
    830. 

  830. inline long double comp_ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k)
    831. 

  831. { return boost::math::tr1::boost_comp_ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k); }
    832. 

  832. inline float comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k)
    833. 

  833. { return boost::math::tr1::comp_ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k); }
    834. 

  834. inline long double comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k)
    835. 

  835. { return boost::math::tr1::comp_ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k); }
    836. 

  836. template <class T>
    837. 

  837. inline typename tools::promote_args<T>::type comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T k)
    838. 

  838. { return boost::math::tr1::comp_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(k)); }
    839. 

  839. 

  840. // [5.2.1.5]  (complete) elliptic integral of the second kind:
    841. 

  841. inline float comp_ellint_2f(float k)
    842. 

  842. { return boost::math::tr1::boost_comp_ellint_2f(k); }
    843. 

  843. inline double comp_ellint_2(double k)
    844. 

  844. { return boost::math::tr1::boost_comp_ellint_2(k); }
    845. 

  845. inline long double comp_ellint_2l(long double k)
    846. 

  846. { return boost::math::tr1::boost_comp_ellint_2l(k); }
    847. 

  847. inline float comp_ellint_2(float k)
    848. 

  848. { return boost::math::tr1::comp_ellint_2f(k); }
    849. 

  849. inline long double comp_ellint_2(long double k)
    850. 

  850. { return boost::math::tr1::comp_ellint_2l(k); }
    851. 

  851. template <class T>
    852. 

  852. inline typename tools::promote_args<T>::type comp_ellint_2(T k)
    853. 

  853. { return boost::math::tr1::comp_ellint_2(static_cast<typename tools::promote_args<T>::type> BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k)); }
    854. 

  854. 

  855. // [5.2.1.6]  (complete) elliptic integral of the third kind:
    856. 

  856. inline float comp_ellint_3f(float k, float nu)
    857. 

  857. { return boost::math::tr1::boost_comp_ellint_3f(k, nu); }
    858. 

  858. inline double comp_ellint_3(double k, double nu)
    859. 

  859. { return boost::math::tr1::boost_comp_ellint_3(k, nu); }
    860. 

  860. inline long double comp_ellint_3l(long double k, long double nu)
    861. 

  861. { return boost::math::tr1::boost_comp_ellint_3l(k, nu); }
    862. 

  862. inline float comp_ellint_3(float k, float nu)
    863. 

  863. { return boost::math::tr1::comp_ellint_3f(k, nu); }
    864. 

  864. inline long double comp_ellint_3(long double k, long double nu)
    865. 

  865. { return boost::math::tr1::comp_ellint_3l(k, nu); }
    866. 

  866. template <class T1, class T2>
    867. 

  867. inline typename tools::promote_args<T1, T2>::type comp_ellint_3(T1 k, T2 nu)
    868. 

  868. { return boost::math::tr1::comp_ellint_3(static_cast<typename tools::promote_args<T1, T2>::type> BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k), static_cast<typename tools::promote_args<T1, T2>::type> BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu)); }
    869. 

  869. 

  870. #if 0
    871. 

  871. // [5.2.1.7] confluent hypergeometric functions:
    872. 

  872. double conf_hyperg BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double a, double c, double x);
    873. 

  873. float conf_hypergf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float a, float c, float x);
    874. 

  874. long double conf_hypergl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double a, long double c, long double x);
    875. 

  875. #endif
    876. 

  876. 

  877. // [5.2.1.8] regular modified cylindrical Bessel functions:
    878. 

  878. inline float cyl_bessel_if BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
    879. 

  879. { return boost::math::tr1::boost_cyl_bessel_if BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    880. 

  880. inline double cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
    881. 

  881. { return boost::math::tr1::boost_cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    882. 

  882. inline long double cyl_bessel_il BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
    883. 

  883. { return boost::math::tr1::boost_cyl_bessel_il BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    884. 

  884. inline float cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
    885. 

  885. { return boost::math::tr1::cyl_bessel_if BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    886. 

  886. inline long double cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
    887. 

  887. { return boost::math::tr1::cyl_bessel_il BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    888. 

  888. template <class T1, class T2>
    889. 

  889. inline typename tools::promote_args<T1, T2>::type cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
    890. 

  890. { return boost::math::tr1::cyl_bessel_i BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
    891. 

  891. 

  892. // [5.2.1.9] cylindrical Bessel functions (of the first kind):
    893. 

  893. inline float cyl_bessel_jf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
    894. 

  894. { return boost::math::tr1::boost_cyl_bessel_jf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    895. 

  895. inline double cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
    896. 

  896. { return boost::math::tr1::boost_cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    897. 

  897. inline long double cyl_bessel_jl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
    898. 

  898. { return boost::math::tr1::boost_cyl_bessel_jl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    899. 

  899. inline float cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
    900. 

  900. { return boost::math::tr1::cyl_bessel_jf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    901. 

  901. inline long double cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
    902. 

  902. { return boost::math::tr1::cyl_bessel_jl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    903. 

  903. template <class T1, class T2>
    904. 

  904. inline typename tools::promote_args<T1, T2>::type cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
    905. 

  905. { return boost::math::tr1::cyl_bessel_j BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
    906. 

  906. 

  907. // [5.2.1.10] irregular modified cylindrical Bessel functions:
    908. 

  908. inline float cyl_bessel_kf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
    909. 

  909. { return boost::math::tr1::boost_cyl_bessel_kf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    910. 

  910. inline double cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
    911. 

  911. { return boost::math::tr1::boost_cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    912. 

  912. inline long double cyl_bessel_kl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
    913. 

  913. { return boost::math::tr1::boost_cyl_bessel_kl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    914. 

  914. inline float cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
    915. 

  915. { return boost::math::tr1::cyl_bessel_kf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    916. 

  916. inline long double cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
    917. 

  917. { return boost::math::tr1::cyl_bessel_kl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    918. 

  918. template <class T1, class T2>
    919. 

  919. inline typename tools::promote_args<T1, T2>::type cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
    920. 

  920. { return boost::math::tr1::cyl_bessel_k BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type> BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
    921. 

  921. 

  922. // [5.2.1.11] cylindrical Neumann functions;
    923. 

  923. // cylindrical Bessel functions (of the second kind):
    924. 

  924. inline float cyl_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
    925. 

  925. { return boost::math::tr1::boost_cyl_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    926. 

  926. inline double cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double nu, double x)
    927. 

  927. { return boost::math::tr1::boost_cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    928. 

  928. inline long double cyl_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
    929. 

  929. { return boost::math::tr1::boost_cyl_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    930. 

  930. inline float cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float nu, float x)
    931. 

  931. { return boost::math::tr1::cyl_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    932. 

  932. inline long double cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double nu, long double x)
    933. 

  933. { return boost::math::tr1::cyl_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(nu, x); }
    934. 

  934. template <class T1, class T2>
    935. 

  935. inline typename tools::promote_args<T1, T2>::type cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 nu, T2 x)
    936. 

  936. { return boost::math::tr1::cyl_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(nu), static_cast<typename tools::promote_args<T1, T2>::type>(x)); }
    937. 

  937. 

  938. // [5.2.1.12] (incomplete) elliptic integral of the first kind:
    939. 

  939. inline float ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
    940. 

  940. { return boost::math::tr1::boost_ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); }
    941. 

  941. inline double ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double phi)
    942. 

  942. { return boost::math::tr1::boost_ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); }
    943. 

  943. inline long double ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
    944. 

  944. { return boost::math::tr1::boost_ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); }
    945. 

  945. inline float ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
    946. 

  946. { return boost::math::tr1::ellint_1f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); }
    947. 

  947. inline long double ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
    948. 

  948. { return boost::math::tr1::ellint_1l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); }
    949. 

  949. template <class T1, class T2>
    950. 

  950. inline typename tools::promote_args<T1, T2>::type ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 phi)
    951. 

  951. { return boost::math::tr1::ellint_1 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(k), static_cast<typename tools::promote_args<T1, T2>::type>(phi)); }
    952. 

  952. 

  953. // [5.2.1.13] (incomplete) elliptic integral of the second kind:
    954. 

  954. inline float ellint_2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
    955. 

  955. { return boost::math::tr1::boost_ellint_2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); }
    956. 

  956. inline double ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double phi)
    957. 

  957. { return boost::math::tr1::boost_ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); }
    958. 

  958. inline long double ellint_2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
    959. 

  959. { return boost::math::tr1::boost_ellint_2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); }
    960. 

  960. inline float ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float phi)
    961. 

  961. { return boost::math::tr1::ellint_2f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); }
    962. 

  962. inline long double ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double phi)
    963. 

  963. { return boost::math::tr1::ellint_2l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, phi); }
    964. 

  964. template <class T1, class T2>
    965. 

  965. inline typename tools::promote_args<T1, T2>::type ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 phi)
    966. 

  966. { return boost::math::tr1::ellint_2 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2>::type>(k), static_cast<typename tools::promote_args<T1, T2>::type>(phi)); }
    967. 

  967. 

  968. // [5.2.1.14] (incomplete) elliptic integral of the third kind:
    969. 

  969. inline float ellint_3f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi)
    970. 

  970. { return boost::math::tr1::boost_ellint_3f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
    971. 

  971. inline double ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double k, double nu, double phi)
    972. 

  972. { return boost::math::tr1::boost_ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
    973. 

  973. inline long double ellint_3l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi)
    974. 

  974. { return boost::math::tr1::boost_ellint_3l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
    975. 

  975. inline float ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float k, float nu, float phi)
    976. 

  976. { return boost::math::tr1::ellint_3f BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
    977. 

  977. inline long double ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double k, long double nu, long double phi)
    978. 

  978. { return boost::math::tr1::ellint_3l BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(k, nu, phi); }
    979. 

  979. template <class T1, class T2, class T3>
    980. 

  980. inline typename tools::promote_args<T1, T2, T3>::type ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T1 k, T2 nu, T3 phi)
    981. 

  981. { return boost::math::tr1::ellint_3 BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T1, T2, T3>::type>(k), static_cast<typename tools::promote_args<T1, T2, T3>::type>(nu), static_cast<typename tools::promote_args<T1, T2, T3>::type>(phi)); }
    982. 

  982. 

  983. // [5.2.1.15] exponential integral:
    984. 

  984. inline float expintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    985. 

  985. { return boost::math::tr1::boost_expintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    986. 

  986. inline double expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double x)
    987. 

  987. { return boost::math::tr1::boost_expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    988. 

  988. inline long double expintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    989. 

  989. { return boost::math::tr1::boost_expintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    990. 

  990. inline float expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float x)
    991. 

  991. { return boost::math::tr1::expintf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    992. 

  992. inline long double expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double x)
    993. 

  993. { return boost::math::tr1::expintl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(x); }
    994. 

  994. template <class T>
    995. 

  995. inline typename tools::promote_args<T>::type expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x)
    996. 

  996. { return boost::math::tr1::expint BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(x)); }
    997. 

  997. 

  998. // [5.2.1.16] Hermite polynomials:
    999. 

  999. inline float hermitef BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
    1000. 

  1000. { return boost::math::tr1::boost_hermitef BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1001. 

  1001. inline double hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
    1002. 

  1002. { return boost::math::tr1::boost_hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1003. 

  1003. inline long double hermitel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
    1004. 

  1004. { return boost::math::tr1::boost_hermitel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1005. 

  1005. inline float hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
    1006. 

  1006. { return boost::math::tr1::hermitef BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1007. 

  1007. inline long double hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
    1008. 

  1008. { return boost::math::tr1::hermitel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1009. 

  1009. template <class T>
    1010. 

  1010. inline typename tools::promote_args<T>::type hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
    1011. 

  1011. { return boost::math::tr1::hermite BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
    1012. 

  1012. 

  1013. #if 0
    1014. 

  1014. // [5.2.1.17] hypergeometric functions:
    1015. 

  1015. double hyperg BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double a, double b, double c, double x);
    1016. 

  1016. float hypergf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float a, float b, float c, float x);
    1017. 

  1017. long double hypergl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double a, long double b, long double c,
    1018. 

  1018. long double x);
    1019. 

  1019. #endif
    1020. 

  1020. 

  1021. // [5.2.1.18] Laguerre polynomials:
    1022. 

  1022. inline float laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
    1023. 

  1023. { return boost::math::tr1::boost_laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1024. 

  1024. inline double laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
    1025. 

  1025. { return boost::math::tr1::boost_laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1026. 

  1026. inline long double laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
    1027. 

  1027. { return boost::math::tr1::boost_laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1028. 

  1028. inline float laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
    1029. 

  1029. { return boost::math::tr1::laguerref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1030. 

  1030. inline long double laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
    1031. 

  1031. { return boost::math::tr1::laguerrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1032. 

  1032. template <class T>
    1033. 

  1033. inline typename tools::promote_args<T>::type laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
    1034. 

  1034. { return boost::math::tr1::laguerre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
    1035. 

  1035. 

  1036. // [5.2.1.19] Legendre polynomials:
    1037. 

  1037. inline float legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x)
    1038. 

  1038. { return boost::math::tr1::boost_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, x); }
    1039. 

  1039. inline double legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, double x)
    1040. 

  1040. { return boost::math::tr1::boost_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, x); }
    1041. 

  1041. inline long double legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, long double x)
    1042. 

  1042. { return boost::math::tr1::boost_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, x); }
    1043. 

  1043. inline float legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, float x)
    1044. 

  1044. { return boost::math::tr1::legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, x); }
    1045. 

  1045. inline long double legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, long double x)
    1046. 

  1046. { return boost::math::tr1::legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, x); }
    1047. 

  1047. template <class T>
    1048. 

  1048. inline typename tools::promote_args<T>::type legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, T x)
    1049. 

  1049. { return boost::math::tr1::legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, static_cast<typename tools::promote_args<T>::type>(x)); }
    1050. 

  1050. 

  1051. // [5.2.1.20] Riemann zeta function:
    1052. 

  1052. inline float riemann_zetaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float z)
    1053. 

  1053. { return boost::math::tr1::boost_riemann_zetaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(z); }
    1054. 

  1054. inline double riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(double z)
    1055. 

  1055. { return boost::math::tr1::boost_riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(z); }
    1056. 

  1056. inline long double riemann_zetal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double z)
    1057. 

  1057. { return boost::math::tr1::boost_riemann_zetal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(z); }
    1058. 

  1058. inline float riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(float z)
    1059. 

  1059. { return boost::math::tr1::riemann_zetaf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(z); }
    1060. 

  1060. inline long double riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(long double z)
    1061. 

  1061. { return boost::math::tr1::riemann_zetal BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(z); }
    1062. 

  1062. template <class T>
    1063. 

  1063. inline typename tools::promote_args<T>::type riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T z)
    1064. 

  1064. { return boost::math::tr1::riemann_zeta BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(static_cast<typename tools::promote_args<T>::type>(z)); }
    1065. 

  1065. 

  1066. // [5.2.1.21] spherical Bessel functions (of the first kind):
    1067. 

  1067. inline float sph_besself BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
    1068. 

  1068. { return boost::math::tr1::boost_sph_besself BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1069. 

  1069. inline double sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
    1070. 

  1070. { return boost::math::tr1::boost_sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1071. 

  1071. inline long double sph_bessell BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
    1072. 

  1072. { return boost::math::tr1::boost_sph_bessell BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1073. 

  1073. inline float sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
    1074. 

  1074. { return boost::math::tr1::sph_besself BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1075. 

  1075. inline long double sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
    1076. 

  1076. { return boost::math::tr1::sph_bessell BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1077. 

  1077. template <class T>
    1078. 

  1078. inline typename tools::promote_args<T>::type sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
    1079. 

  1079. { return boost::math::tr1::sph_bessel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
    1080. 

  1080. 

  1081. // [5.2.1.22] spherical associated Legendre functions:
    1082. 

  1082. inline float sph_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta)
    1083. 

  1083. { return boost::math::tr1::boost_sph_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
    1084. 

  1084. inline double sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, double theta)
    1085. 

  1085. { return boost::math::tr1::boost_sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
    1086. 

  1086. inline long double sph_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double theta)
    1087. 

  1087. { return boost::math::tr1::boost_sph_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
    1088. 

  1088. inline float sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, float theta)
    1089. 

  1089. { return boost::math::tr1::sph_legendref BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
    1090. 

  1090. inline long double sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, long double theta)
    1091. 

  1091. { return boost::math::tr1::sph_legendrel BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, theta); }
    1092. 

  1092. template <class T>
    1093. 

  1093. inline typename tools::promote_args<T>::type sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned l, unsigned m, T theta)
    1094. 

  1094. { return boost::math::tr1::sph_legendre BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(l, m, static_cast<typename tools::promote_args<T>::type>(theta)); }
    1095. 

  1095. 

  1096. // [5.2.1.23] spherical Neumann functions;
    1097. 

  1097. // spherical Bessel functions (of the second kind):
    1098. 

  1098. inline float sph_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
    1099. 

  1099. { return boost::math::tr1::boost_sph_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1100. 

  1100. inline double sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, double x)
    1101. 

  1101. { return boost::math::tr1::boost_sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1102. 

  1102. inline long double sph_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
    1103. 

  1103. { return boost::math::tr1::boost_sph_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1104. 

  1104. inline float sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, float x)
    1105. 

  1105. { return boost::math::tr1::sph_neumannf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1106. 

  1106. inline long double sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, long double x)
    1107. 

  1107. { return boost::math::tr1::sph_neumannl BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, x); }
    1108. 

  1108. template <class T>
    1109. 

  1109. inline typename tools::promote_args<T>::type sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(unsigned n, T x)
    1110. 

  1110. { return boost::math::tr1::sph_neumann BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(n, static_cast<typename tools::promote_args<T>::type>(x)); }
    1111. 

  1111. 

  1112. }}} // namespaces
    1113. 

  1113. 

  1114. #else // __cplusplus
    1115. 

  1115. 

  1116. #include <boost/math/tr1_c_macros.ipp>
    1117. 

  1117. 

  1118. #endif // __cplusplus
    1119. 

  1119. 

  1120. #endif // BOOST_MATH_TR1_HPP
    1121. 

  1121.