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  1. /* http://pubs.opengroup.org/onlinepubs/9699919799/basedefs/tgmath.h.html */
  2. /*-
  3.  * Copyright (c) 2004 Stefan Farfeleder.
  4.  * All rights reserved.
  5.  *
  6.  * Redistribution and use in source and binary forms, with or without
  7.  * modification, are permitted provided that the following conditions
  8.  * are met:
  9.  * 1. Redistributions of source code must retain the above copyright
  10.  *    notice, this list of conditions and the following disclaimer.
  11.  * 2. Redistributions in binary form must reproduce the above copyright
  12.  *    notice, this list of conditions and the following disclaimer in the
  13.  *    documentation and/or other materials provided with the distribution.
  14.  *
  15.  * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
  16.  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  17.  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
  18.  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
  19.  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
  20.  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
  21.  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  22.  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  23.  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
  24.  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
  25.  * SUCH DAMAGE.
  26.  *
  27.  * $FreeBSD$
  28.  */
  29.  
  30. #ifndef _TGMATH_H_
  31. #define _TGMATH_H_
  32.  
  33. #include <complex.h>
  34. #include <math.h>
  35.  
  36. #ifdef log2
  37. #undef log2
  38. #endif
  39.  
  40. /*
  41.  * This implementation of <tgmath.h> requires two implementation-dependent
  42.  * macros to be defined:
  43.  * __tg_impl_simple(x, y, z, fn, fnf, fnl, ...)
  44.  *      Invokes fnl() if the corresponding real type of x, y or z is long
  45.  *      double, fn() if it is double or any has an integer type, and fnf()
  46.  *      otherwise.
  47.  * __tg_impl_full(x, y, z, fn, fnf, fnl, cfn, cfnf, cfnl, ...)
  48.  *      Invokes [c]fnl() if the corresponding real type of x, y or z is long
  49.  *      double, [c]fn() if it is double or any has an integer type, and
  50.  *      [c]fnf() otherwise.  The function with the 'c' prefix is called if
  51.  *      any of x, y or z is a complex number.
  52.  * Both macros call the chosen function with all additional arguments passed
  53.  * to them, as given by __VA_ARGS__.
  54.  *
  55.  * Note that these macros cannot be implemented with C's ?: operator,
  56.  * because the return type of the whole expression would incorrectly be long
  57.  * double complex regardless of the argument types.
  58.  */
  59.  
  60. /* requires GCC >= 3.1 */
  61. #if !__GNUC_PREREQ (3, 1)
  62. #error "<tgmath.h> not implemented for this compiler"
  63. #endif
  64.  
  65. #define __tg_type(__e, __t)                                             \
  66.         __builtin_types_compatible_p(__typeof__(__e), __t)
  67. #define __tg_type3(__e1, __e2, __e3, __t)                               \
  68.         (__tg_type(__e1, __t) || __tg_type(__e2, __t) ||                \
  69.          __tg_type(__e3, __t))
  70. #define __tg_type_corr(__e1, __e2, __e3, __t)                           \
  71.         (__tg_type3(__e1, __e2, __e3, __t) ||                           \
  72.          __tg_type3(__e1, __e2, __e3, __t _Complex))
  73. #define __tg_integer(__e1, __e2, __e3)                                  \
  74.         (((__typeof__(__e1))1.5 == 1) || ((__typeof__(__e2))1.5 == 1) ||        \
  75.          ((__typeof__(__e3))1.5 == 1))
  76. #define __tg_is_complex(__e1, __e2, __e3)                               \
  77.         (__tg_type3(__e1, __e2, __e3, float _Complex) ||                \
  78.          __tg_type3(__e1, __e2, __e3, double _Complex) ||               \
  79.          __tg_type3(__e1, __e2, __e3, long double _Complex) ||          \
  80.          __tg_type3(__e1, __e2, __e3, __typeof__(_Complex_I)))
  81.  
  82. #if defined (_LDBL_EQ_DBL) || defined (__CYGWIN__)
  83. #define __tg_impl_simple(x, y, z, fn, fnf, fnl, ...)                    \
  84.         __builtin_choose_expr(__tg_type_corr(x, y, z, long double),     \
  85.             fnl(__VA_ARGS__), __builtin_choose_expr(                    \
  86.                 __tg_type_corr(x, y, z, double) || __tg_integer(x, y, z),\
  87.                 fn(__VA_ARGS__), fnf(__VA_ARGS__)))
  88. #else
  89. #define __tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, ...)        \
  90.         (__tg_type_corr(__x, __y, __z, double) || __tg_integer(__x, __y, __z)) \
  91.                 ? __fn(__VA_ARGS__) : __fnf(__VA_ARGS__)
  92. #endif
  93.  
  94. #define __tg_impl_full(__x, __y, __z, __fn, __fnf, __fnl, __cfn, __cfnf, __cfnl, ...)   \
  95.         __builtin_choose_expr(__tg_is_complex(__x, __y, __z),           \
  96.             __tg_impl_simple(__x, __y, __z, __cfn, __cfnf, __cfnl, __VA_ARGS__),        \
  97.             __tg_impl_simple(__x, __y, __z, __fn, __fnf, __fnl, __VA_ARGS__))
  98.  
  99. /* Macros to save lots of repetition below */
  100. #define __tg_simple(__x, __fn)                                          \
  101.         __tg_impl_simple(__x, __x, __x, __fn, __fn##f, __fn##l, __x)
  102. #define __tg_simple2(__x, __y, __fn)                                    \
  103.         __tg_impl_simple(__x, __x, __y, __fn, __fn##f, __fn##l, __x, __y)
  104. #define __tg_simplev(__x, __fn, ...)                                    \
  105.         __tg_impl_simple(__x, __x, __x, __fn, __fn##f, __fn##l, __VA_ARGS__)
  106. #define __tg_full(__x, __fn)                                            \
  107.         __tg_impl_full(__x, __x, __x, __fn, __fn##f, __fn##l, c##__fn, c##__fn##f, c##__fn##l, __x)
  108.  
  109. /* 7.22#4 -- These macros expand to real or complex functions, depending on
  110.  * the type of their arguments. */
  111. #define acos(__x)               __tg_full(__x, acos)
  112. #define asin(__x)               __tg_full(__x, asin)
  113. #define atan(__x)               __tg_full(__x, atan)
  114. #define acosh(__x)              __tg_full(__x, acosh)
  115. #define asinh(__x)              __tg_full(__x, asinh)
  116. #define atanh(__x)              __tg_full(__x, atanh)
  117. #define cos(__x)                __tg_full(__x, cos)
  118. #define sin(__x)                __tg_full(__x, sin)
  119. #define tan(__x)                __tg_full(__x, tan)
  120. #define cosh(__x)               __tg_full(__x, cosh)
  121. #define sinh(__x)               __tg_full(__x, sinh)
  122. #define tanh(__x)               __tg_full(__x, tanh)
  123. #define exp(__x)                __tg_full(__x, exp)
  124. #define log(__x)                __tg_full(__x, log)
  125. #define pow(__x, __y)           __tg_impl_full(__x, __x, __y, pow, powf, powl,  \
  126.                                                 cpow, cpowf, cpowl, __x, __y)
  127. #define sqrt(__x)               __tg_full(__x, sqrt)
  128.  
  129. /* "The corresponding type-generic macro for fabs and cabs is fabs." */
  130. #define fabs(__x)               __tg_impl_full(__x, __x, __x, fabs, fabsf, fabsl,       \
  131.                                                 cabs, cabsf, cabsl, __x)
  132.  
  133. /* 7.22#5 -- These macros are only defined for arguments with real type. */
  134. #define atan2(__x, __y)         __tg_simple2(__x, __y, atan2)
  135. #define cbrt(__x)               __tg_simple(__x, cbrt)
  136. #define ceil(__x)               __tg_simple(__x, ceil)
  137. #define copysign(__x, __y)      __tg_simple2(__x, __y, copysign)
  138. #define erf(__x)                __tg_simple(__x, erf)
  139. #define erfc(__x)               __tg_simple(__x, erfc)
  140. #define exp2(__x)               __tg_simple(__x, exp2)
  141. #define expm1(__x)              __tg_simple(__x, expm1)
  142. #define fdim(__x, __y)          __tg_simple2(__x, __y, fdim)
  143. #define floor(__x)              __tg_simple(__x, floor)
  144. #define fma(__x, __y, __z)      __tg_impl_simple(__x, __y, __z, fma, fmaf, fmal, \
  145.                                                  __x, __y, __z)
  146. #define fmax(__x, __y)          __tg_simple2(__x, __y, fmax)
  147. #define fmin(__x, __y)          __tg_simple2(__x, __y, fmin)
  148. #define fmod(__x, __y)          __tg_simple2(__x, __y, fmod)
  149. #define frexp(__x, __y)         __tg_simplev(__x, frexp, __x, __y)
  150. #define hypot(__x, __y)         __tg_simple2(__x, __y, hypot)
  151. #define ilogb(__x)              __tg_simple(__x, ilogb)
  152. #define ldexp(__x, __y)         __tg_simplev(__x, ldexp, __x, __y)
  153. #define lgamma(__x)             __tg_simple(__x, lgamma)
  154. #define llrint(__x)             __tg_simple(__x, llrint)
  155. #define llround(__x)            __tg_simple(__x, llround)
  156. #define log10(__x)              __tg_simple(__x, log10)
  157. #define log1p(__x)              __tg_simple(__x, log1p)
  158. #define log2(__x)               __tg_simple(__x, log2)
  159. #define logb(__x)               __tg_simple(__x, logb)
  160. #define lrint(__x)              __tg_simple(__x, lrint)
  161. #define lround(__x)             __tg_simple(__x, lround)
  162. #define nearbyint(__x)          __tg_simple(__x, nearbyint)
  163. #define nextafter(__x, __y)     __tg_simple2(__x, __y, nextafter)
  164. /* not yet implemented even for _LDBL_EQ_DBL platforms */
  165. #ifdef __CYGWIN__
  166. #define nexttoward(__x, __y)    __tg_simplev(__x, nexttoward, __x, __y)
  167. #endif
  168. #define remainder(__x, __y)     __tg_simple2(__x, __y, remainder)
  169. #define remquo(__x, __y, __z)   __tg_impl_simple(__x, __x, __y, remquo, remquof,        \
  170.                                                  remquol, __x, __y, __z)
  171. #define rint(__x)               __tg_simple(__x, rint)
  172. #define round(__x)              __tg_simple(__x, round)
  173. #define scalbn(__x, __y)        __tg_simplev(__x, scalbn, __x, __y)
  174. #define scalbln(__x, __y)       __tg_simplev(__x, scalbln, __x, __y)
  175. #define tgamma(__x)             __tg_simple(__x, tgamma)
  176. #define trunc(__x)              __tg_simple(__x, trunc)
  177.  
  178. /* 7.22#6 -- These macros always expand to complex functions. */
  179. #define carg(__x)               __tg_simple(__x, carg)
  180. #define cimag(__x)              __tg_simple(__x, cimag)
  181. #define conj(__x)               __tg_simple(__x, conj)
  182. #define cproj(__x)              __tg_simple(__x, cproj)
  183. #define creal(__x)              __tg_simple(__x, creal)
  184.  
  185. #endif /* !_TGMATH_H_ */
  186.