mathcalls.h 12 KB

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  1. /* Prototype declarations for math functions; helper file for <math.h>.
  2. Copyright (C) 1996-2002, 2003, 2006 Free Software Foundation, Inc.
  3. This file is part of the GNU C Library.
  4. The GNU C Library is free software; you can redistribute it and/or
  5. modify it under the terms of the GNU Lesser General Public
  6. License as published by the Free Software Foundation; either
  7. version 2.1 of the License, or (at your option) any later version.
  8. The GNU C Library is distributed in the hope that it will be useful,
  9. but WITHOUT ANY WARRANTY; without even the implied warranty of
  10. MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
  11. Lesser General Public License for more details.
  12. You should have received a copy of the GNU Lesser General Public
  13. License along with the GNU C Library; if not, see
  14. <http://www.gnu.org/licenses/>. */
  15. /* NOTE: Because of the special way this file is used by <math.h>, this
  16. file must NOT be protected from multiple inclusion as header files
  17. usually are.
  18. This file provides prototype declarations for the math functions.
  19. Most functions are declared using the macro:
  20. __MATHCALL (NAME,[_r], (ARGS...))
  21. This means there is a function `NAME' returning `double' and a function
  22. `NAMEf' returning `float'. Each place `_Mdouble_' appears in the
  23. prototype, that is actually `double' in the prototype for `NAME' and
  24. `float' in the prototype for `NAMEf'. Reentrant variant functions are
  25. called `NAME_r' and `NAMEf_r'.
  26. Functions returning other types like `int' are declared using the macro:
  27. __MATHDECL (TYPE, NAME,[_r], (ARGS...))
  28. This is just like __MATHCALL but for a function returning `TYPE'
  29. instead of `_Mdouble_'. In all of these cases, there is still
  30. both a `NAME' and a `NAMEf' that takes `float' arguments.
  31. Note that there must be no whitespace before the argument passed for
  32. NAME, to make token pasting work with -traditional. */
  33. #ifndef _MATH_H
  34. # error "Never include <bits/mathcalls.h> directly; include <math.h> instead."
  35. #endif
  36. /* __MATHCALLX(type,function,[suffix],args,attrib) and
  37. * __MATHCALLI(type,function,[suffix],args) include libm_hidden_proto
  38. * (for "double" versions only, xxxf and xxxl do not get this treatment).
  39. *
  40. * __MATHDECL(type,function,[suffix],args) does not.
  41. * __MATHCALL(function,[suffix],args) also does not
  42. * (it is just a shortcut to __MATHDECL(_Mdouble_,function,[suffix],args)).
  43. *
  44. * __MATHDECL_PRIV(type,function,[suffix],args,attrib)
  45. * includes libm_hidden_proto (always) and declares __foo, not foo.
  46. */
  47. /* Trigonometric functions. */
  48. _Mdouble_BEGIN_NAMESPACE
  49. /* Arc cosine of X. */
  50. __MATHCALLI (acos,, (_Mdouble_ __x))
  51. /* Arc sine of X. */
  52. __MATHCALLI (asin,, (_Mdouble_ __x))
  53. /* Arc tangent of X. */
  54. __MATHCALLI (atan,, (_Mdouble_ __x))
  55. /* Arc tangent of Y/X. */
  56. __MATHCALLI (atan2,, (_Mdouble_ __y, _Mdouble_ __x))
  57. /* Cosine of X. */
  58. __MATHCALLI (cos,, (_Mdouble_ __x))
  59. /* Sine of X. */
  60. __MATHCALLI (sin,, (_Mdouble_ __x))
  61. /* Tangent of X. */
  62. __MATHCALLI (tan,, (_Mdouble_ __x))
  63. /* Hyperbolic functions. */
  64. /* Hyperbolic cosine of X. */
  65. __MATHCALLI (cosh,, (_Mdouble_ __x))
  66. /* Hyperbolic sine of X. */
  67. __MATHCALLI (sinh,, (_Mdouble_ __x))
  68. /* Hyperbolic tangent of X. */
  69. __MATHCALLI (tanh,, (_Mdouble_ __x))
  70. _Mdouble_END_NAMESPACE
  71. #if defined __USE_GNU
  72. /* Cosine and sine of X. */
  73. __MATHDECL (void,sincos,,
  74. (_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx))
  75. #endif
  76. #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
  77. __BEGIN_NAMESPACE_C99
  78. /* Hyperbolic arc cosine of X. */
  79. __MATHCALLI (acosh,, (_Mdouble_ __x))
  80. /* Hyperbolic arc sine of X. */
  81. __MATHCALLI (asinh,, (_Mdouble_ __x))
  82. /* Hyperbolic arc tangent of X. */
  83. __MATHCALLI (atanh,, (_Mdouble_ __x))
  84. __END_NAMESPACE_C99
  85. #endif
  86. /* Exponential and logarithmic functions. */
  87. _Mdouble_BEGIN_NAMESPACE
  88. /* Exponential function of X. */
  89. __MATHCALLI (exp,, (_Mdouble_ __x))
  90. /* Break VALUE into a normalized fraction and an integral power of 2. */
  91. __MATHCALLI (frexp,, (_Mdouble_ __x, int *__exponent))
  92. /* X times (two to the EXP power). */
  93. __MATHCALLI (ldexp,, (_Mdouble_ __x, int __exponent))
  94. /* Natural logarithm of X. */
  95. __MATHCALLI (log,, (_Mdouble_ __x))
  96. /* Base-ten logarithm of X. */
  97. __MATHCALLI (log10,, (_Mdouble_ __x))
  98. /* Break VALUE into integral and fractional parts. */
  99. __MATHCALLI (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr))
  100. _Mdouble_END_NAMESPACE
  101. #if 0 /*def __USE_GNU*/
  102. /* A function missing in all standards: compute exponent to base ten. */
  103. __MATHCALL (exp10,, (_Mdouble_ __x))
  104. /* Another name occasionally used. */
  105. __MATHCALL (pow10,, (_Mdouble_ __x))
  106. #endif
  107. #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
  108. __BEGIN_NAMESPACE_C99
  109. /* Return exp(X) - 1. */
  110. __MATHCALLI (expm1,, (_Mdouble_ __x))
  111. /* Return log(1 + X). */
  112. __MATHCALLI (log1p,, (_Mdouble_ __x))
  113. /* Return the base 2 signed integral exponent of X. */
  114. __MATHCALLI (logb,, (_Mdouble_ __x))
  115. __END_NAMESPACE_C99
  116. #endif
  117. #ifdef __USE_ISOC99
  118. __BEGIN_NAMESPACE_C99
  119. /* Compute base-2 exponential of X. */
  120. __MATHCALLI (exp2,, (_Mdouble_ __x))
  121. /* Compute base-2 logarithm of X. */
  122. __MATHCALLI (log2,, (_Mdouble_ __x))
  123. __END_NAMESPACE_C99
  124. #endif
  125. /* Power functions. */
  126. _Mdouble_BEGIN_NAMESPACE
  127. /* Return X to the Y power. */
  128. __MATHCALLI (pow,, (_Mdouble_ __x, _Mdouble_ __y))
  129. /* Return the square root of X. */
  130. __MATHCALLI (sqrt,, (_Mdouble_ __x))
  131. _Mdouble_END_NAMESPACE
  132. #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
  133. __BEGIN_NAMESPACE_C99
  134. /* Return `sqrt(X*X + Y*Y)'. */
  135. __MATHCALLI (hypot,, (_Mdouble_ __x, _Mdouble_ __y))
  136. __END_NAMESPACE_C99
  137. #endif
  138. #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
  139. __BEGIN_NAMESPACE_C99
  140. /* Return the cube root of X. */
  141. __MATHCALLI (cbrt,, (_Mdouble_ __x))
  142. __END_NAMESPACE_C99
  143. #endif
  144. /* Nearest integer, absolute value, and remainder functions. */
  145. _Mdouble_BEGIN_NAMESPACE
  146. /* Smallest integral value not less than X. */
  147. __MATHCALLX (ceil,, (_Mdouble_ __x), (__const__))
  148. /* Absolute value of X. */
  149. __MATHCALLX (fabs,, (_Mdouble_ __x), (__const__))
  150. /* Largest integer not greater than X. */
  151. __MATHCALLX (floor,, (_Mdouble_ __x), (__const__))
  152. /* Floating-point modulo remainder of X/Y. */
  153. __MATHCALLI (fmod,, (_Mdouble_ __x, _Mdouble_ __y))
  154. /* Return 0 if VALUE is finite or NaN, +1 if it
  155. is +Infinity, -1 if it is -Infinity. */
  156. __MATHDECL_PRIV (int,isinf,, (_Mdouble_ __value), (__const__))
  157. /* Return nonzero if VALUE is finite and not NaN. */
  158. __MATHDECL_PRIV (int,finite,, (_Mdouble_ __value), (__const__))
  159. _Mdouble_END_NAMESPACE
  160. #ifdef __USE_MISC
  161. #if 0
  162. /* Return 0 if VALUE is finite or NaN, +1 if it
  163. is +Infinity, -1 if it is -Infinity. */
  164. __MATHDECL_PRIV (int,isinf,, (_Mdouble_ __value), (__const__))
  165. /* Return nonzero if VALUE is finite and not NaN. */
  166. __MATHDECL_PRIV (int,finite,, (_Mdouble_ __value), (__const__))
  167. #endif
  168. /* Return the remainder of X/Y. */
  169. __MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y))
  170. /* Return the fractional part of X after dividing out `ilogb (X)'. */
  171. __MATHCALLI (significand,, (_Mdouble_ __x))
  172. #endif /* Use misc. */
  173. #if defined __USE_MISC || defined __USE_ISOC99
  174. __BEGIN_NAMESPACE_C99
  175. /* Return X with its signed changed to Y's. */
  176. __MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__))
  177. __END_NAMESPACE_C99
  178. #endif
  179. #ifdef __USE_ISOC99
  180. __BEGIN_NAMESPACE_C99
  181. /* Return representation of NaN for double type. */
  182. __MATHCALLX (nan,, (const char *__tagb), (__const__))
  183. __END_NAMESPACE_C99
  184. #endif
  185. #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
  186. /* Return nonzero if VALUE is not a number. */
  187. __BEGIN_NAMESPACE_C99
  188. __MATHDECL_PRIV (int,isnan,, (_Mdouble_ __value), (__const__))
  189. __END_NAMESPACE_C99
  190. #endif
  191. #if defined __USE_MISC || defined __USE_XOPEN
  192. # ifdef __DO_XSI_MATH__
  193. /* Bessel functions. */
  194. __MATHCALL (j0,, (_Mdouble_))
  195. __MATHCALL (j1,, (_Mdouble_))
  196. __MATHCALL (jn,, (int, _Mdouble_))
  197. __MATHCALL (y0,, (_Mdouble_))
  198. __MATHCALL (y1,, (_Mdouble_))
  199. __MATHCALL (yn,, (int, _Mdouble_))
  200. # endif
  201. #endif
  202. #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
  203. __BEGIN_NAMESPACE_C99
  204. /* Error and gamma functions. */
  205. __MATHCALLI (erf,, (_Mdouble_))
  206. __MATHCALLI (erfc,, (_Mdouble_))
  207. __MATHCALLI (lgamma,, (_Mdouble_))
  208. __END_NAMESPACE_C99
  209. #endif
  210. #ifdef __USE_ISOC99
  211. __BEGIN_NAMESPACE_C99
  212. /* True gamma function. */
  213. # ifndef _Mdouble_is_float_
  214. __MATHCALLI (tgamma,, (_Mdouble_))
  215. # endif
  216. __END_NAMESPACE_C99
  217. #endif
  218. #if defined __USE_MISC || defined __USE_XOPEN
  219. /* Obsolete alias for `lgamma'. */
  220. __MATHCALLI (gamma,, (_Mdouble_))
  221. #endif
  222. #ifdef __USE_MISC
  223. /* Reentrant version of lgamma. This function uses the global variable
  224. `signgam'. The reentrant version instead takes a pointer and stores
  225. the value through it. */
  226. __MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp))
  227. /* __MATHCALLI does not work here, probably due to ,_r, */
  228. libm_hidden_proto(lgamma_r)
  229. #endif
  230. #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
  231. __BEGIN_NAMESPACE_C99
  232. /* Return the integer nearest X in the direction of the
  233. prevailing rounding mode. */
  234. __MATHCALLI (rint,, (_Mdouble_ __x))
  235. /* Return X + epsilon if X < Y, X - epsilon if X > Y. */
  236. __MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__))
  237. # if defined __USE_ISOC99 && !defined __LDBL_COMPAT
  238. # ifndef _Mdouble_is_float_
  239. __MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__))
  240. # endif
  241. # endif
  242. /* Return the remainder of integer divison X / Y with infinite precision. */
  243. __MATHCALLI (remainder,, (_Mdouble_ __x, _Mdouble_ __y))
  244. # if defined __USE_MISC || defined __USE_ISOC99
  245. /* Return X times (2 to the Nth power). */
  246. __MATHCALLI (scalbn,, (_Mdouble_ __x, int __n))
  247. # endif
  248. /* Return the binary exponent of X, which must be nonzero. */
  249. __MATHDECLI (int,ilogb,, (_Mdouble_ __x))
  250. #endif
  251. #ifdef __USE_ISOC99
  252. /* Return X times (2 to the Nth power). */
  253. # ifndef _Mdouble_is_float_
  254. __MATHCALLI (scalbln,, (_Mdouble_ __x, long int __n))
  255. # endif
  256. /* Round X to integral value in floating-point format using current
  257. rounding direction, but do not raise inexact exception. */
  258. # ifndef _Mdouble_is_float_
  259. __MATHCALLI (nearbyint,, (_Mdouble_ __x))
  260. # endif
  261. /* Round X to nearest integral value, rounding halfway cases away from
  262. zero. */
  263. __MATHCALLX (round,, (_Mdouble_ __x), (__const__))
  264. /* Round X to the integral value in floating-point format nearest but
  265. not larger in magnitude. */
  266. __MATHCALLX (trunc,, (_Mdouble_ __x), (__const__))
  267. /* Compute remainder of X and Y and put in *QUO a value with sign of x/y
  268. and magnitude congruent `mod 2^n' to the magnitude of the integral
  269. quotient x/y, with n >= 3. */
  270. # ifndef _Mdouble_is_float_
  271. __MATHCALLI (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo))
  272. # endif
  273. /* Conversion functions. */
  274. /* Round X to nearest integral value according to current rounding
  275. direction. */
  276. __MATHDECLI (long int,lrint,, (_Mdouble_ __x))
  277. __MATHDECLI (long long int,llrint,, (_Mdouble_ __x))
  278. /* Round X to nearest integral value, rounding halfway cases away from
  279. zero. */
  280. __MATHDECLI (long int,lround,, (_Mdouble_ __x))
  281. __MATHDECLI (long long int,llround,, (_Mdouble_ __x))
  282. /* Return positive difference between X and Y. */
  283. # ifndef _Mdouble_is_float_
  284. __MATHCALLI (fdim,, (_Mdouble_ __x, _Mdouble_ __y))
  285. # endif
  286. /* Return maximum numeric value from X and Y. */
  287. # ifndef _Mdouble_is_float_
  288. __MATHCALLI (fmax,, (_Mdouble_ __x, _Mdouble_ __y))
  289. # endif
  290. /* Return minimum numeric value from X and Y. */
  291. # ifndef _Mdouble_is_float_
  292. __MATHCALLI (fmin,, (_Mdouble_ __x, _Mdouble_ __y))
  293. # endif
  294. /* Classify given number. */
  295. __MATHDECL_PRIV (int, fpclassify,, (_Mdouble_ __value), (__const__))
  296. /* Test for negative number. */
  297. __MATHDECL_PRIV (int, signbit,, (_Mdouble_ __value), (__const__))
  298. /* Multiply-add function computed as a ternary operation. */
  299. # ifndef _Mdouble_is_float_
  300. __MATHCALLI (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z))
  301. # endif
  302. #endif /* Use ISO C99. */
  303. #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
  304. __END_NAMESPACE_C99
  305. #endif
  306. #if (defined __USE_MISC || defined __USE_XOPEN_EXTENDED) \
  307. && defined __UCLIBC_SUSV3_LEGACY__
  308. /* Return X times (2 to the Nth power). */
  309. __MATHCALLI (scalb,, (_Mdouble_ __x, _Mdouble_ __n))
  310. #endif