sysdeps/generic/math_private_calls.h

   1 /* Private function declarations for libm.
   2    Copyright (C) 2011-2018 Free Software Foundation, Inc.
   3    This file is part of the GNU C Library.
   4
   5    The GNU C Library is free software; you can redistribute it and/or
   6    modify it under the terms of the GNU Lesser General Public
   7    License as published by the Free Software Foundation; either
   8    version 2.1 of the License, or (at your option) any later version.
   9
  10    The GNU C Library is distributed in the hope that it will be useful,
  11    but WITHOUT ANY WARRANTY; without even the implied warranty of
  12    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  13    Lesser General Public License for more details.
  14
  15    You should have received a copy of the GNU Lesser General Public
  16    License along with the GNU C Library; if not, see
  17    <http://www.gnu.org/licenses/>.  */
  18
  19 #define __MSUF_X(x, suffix) x ## suffix
  20 #define __MSUF_S(...) __MSUF_X (__VA_ARGS__)
  21 #define __MSUF(x) __MSUF_S (x, _MSUF_)
  22
  23 #define __MSUF_R_X(x, suffix) x ## suffix ## _r
  24 #define __MSUF_R_S(...) __MSUF_R_X (__VA_ARGS__)
  25 #define __MSUF_R(x) __MSUF_R_S (x, _MSUF_)
  26
  27 /* IEEE style elementary functions.  */
  28 extern _Mdouble_ __MSUF (__ieee754_acos) (_Mdouble_);
  29 extern _Mdouble_ __MSUF (__ieee754_acosh) (_Mdouble_);
  30 extern _Mdouble_ __MSUF (__ieee754_asin) (_Mdouble_);
  31 extern _Mdouble_ __MSUF (__ieee754_atan2) (_Mdouble_, _Mdouble_);
  32 extern _Mdouble_ __MSUF (__ieee754_atanh) (_Mdouble_);
  33 extern _Mdouble_ __MSUF (__ieee754_cosh) (_Mdouble_);
  34 extern _Mdouble_ __MSUF (__ieee754_exp) (_Mdouble_);
  35 extern _Mdouble_ __MSUF (__ieee754_exp10) (_Mdouble_);
  36 extern _Mdouble_ __MSUF (__ieee754_exp2) (_Mdouble_);
  37 extern _Mdouble_ __MSUF (__ieee754_fmod) (_Mdouble_, _Mdouble_);
  38 extern _Mdouble_ __MSUF (__ieee754_gamma) (_Mdouble_);
  39 extern _Mdouble_ __MSUF_R (__ieee754_gamma) (_Mdouble_, int *);
  40 extern _Mdouble_ __MSUF (__ieee754_hypot) (_Mdouble_, _Mdouble_);
  41 extern _Mdouble_ __MSUF (__ieee754_j0) (_Mdouble_);
  42 extern _Mdouble_ __MSUF (__ieee754_j1) (_Mdouble_);
  43 extern _Mdouble_ __MSUF (__ieee754_jn) (int, _Mdouble_);
  44 extern _Mdouble_ __MSUF (__ieee754_lgamma) (_Mdouble_);
  45 extern _Mdouble_ __MSUF_R (__ieee754_lgamma) (_Mdouble_, int *);
  46 extern _Mdouble_ __MSUF (__ieee754_log) (_Mdouble_);
  47 extern _Mdouble_ __MSUF (__ieee754_log10) (_Mdouble_);
  48 extern _Mdouble_ __MSUF (__ieee754_log2) (_Mdouble_);
  49 extern _Mdouble_ __MSUF (__ieee754_pow) (_Mdouble_, _Mdouble_);
  50 extern _Mdouble_ __MSUF (__ieee754_remainder) (_Mdouble_, _Mdouble_);
  51 extern _Mdouble_ __MSUF (__ieee754_sinh) (_Mdouble_);
  52 extern _Mdouble_ __MSUF (__ieee754_sqrt) (_Mdouble_);
  53 extern _Mdouble_ __MSUF (__ieee754_y0) (_Mdouble_);
  54 extern _Mdouble_ __MSUF (__ieee754_y1) (_Mdouble_);
  55 extern _Mdouble_ __MSUF (__ieee754_yn) (int, _Mdouble_);
  56
  57 extern _Mdouble_ __MSUF (__ieee754_scalb) (_Mdouble_, _Mdouble_);
  58 extern int __MSUF (__ieee754_ilogb) (_Mdouble_);
  59
  60 extern int32_t __MSUF (__ieee754_rem_pio2) (_Mdouble_, _Mdouble_ *);
  61
  62 /* fdlibm kernel functions.  */
  63 extern _Mdouble_ __MSUF (__kernel_sin) (_Mdouble_, _Mdouble_, int);
  64 extern _Mdouble_ __MSUF (__kernel_cos) (_Mdouble_, _Mdouble_);
  65 extern _Mdouble_ __MSUF (__kernel_tan) (_Mdouble_, _Mdouble_, int);
  66
  67 #if defined __MATH_DECLARING_LONG_DOUBLE || defined __MATH_DECLARING_FLOATN
  68 extern void __MSUF (__kernel_sincos) (_Mdouble_, _Mdouble_,
  69                                       _Mdouble_ *, _Mdouble_ *, int);
  70 #endif
  71
  72 #if !defined __MATH_DECLARING_LONG_DOUBLE || defined __MATH_DECLARING_FLOATN
  73 extern int __MSUF (__kernel_rem_pio2) (_Mdouble_ *, _Mdouble_ *, int,
  74                                        int, int, const int32_t *);
  75 #endif
  76
  77 /* Internal functions.  */
  78 #if !defined __MATH_DECLARING_LONG_DOUBLE || !defined NO_LONG_DOUBLE
  79 extern _Mdouble_ __MSUF (__copysign) (_Mdouble_ x, _Mdouble_ __y);
  80
  81 extern inline _Mdouble_
  82 __MSUF (__copysign) (_Mdouble_ x, _Mdouble_ __y)
  83 {
  84   return __MSUF (__builtin_copysign) (x, __y);
  85 }
  86 #endif
  87
  88 /* Return X^2 + Y^2 - 1, computed without large cancellation error.
  89    It is given that 1 > X >= Y >= epsilon / 2, and that X^2 + Y^2 >=
  90    0.5.  */
  91 extern _Mdouble_ __MSUF (__x2y2m1) (_Mdouble_ x, _Mdouble_ y);
  92
  93 /* Compute the product of X + X_EPS, X + X_EPS + 1, ..., X + X_EPS + N
  94    - 1, in the form R * (1 + *EPS) where the return value R is an
  95    approximation to the product and *EPS is set to indicate the
  96    approximate error in the return value.  X is such that all the
  97    values X + 1, ..., X + N - 1 are exactly representable, and X_EPS /
  98    X is small enough that factors quadratic in it can be
  99    neglected.  */
 100 extern _Mdouble_ __MSUF (__gamma_product) (_Mdouble_ x, _Mdouble_ x_eps,
 101                                            int n, _Mdouble_ *eps);
 102
 103 /* Compute lgamma of a negative argument X, if it is in a range
 104    (depending on the floating-point format) for which expansion around
 105    zeros is used, setting *SIGNGAMP accordingly.  */
 106 extern _Mdouble_ __MSUF (__lgamma_neg) (_Mdouble_ x, int *signgamp);
 107
 108 /* Compute the product of 1 + (T / (X + X_EPS)), 1 + (T / (X + X_EPS +
 109    1)), ..., 1 + (T / (X + X_EPS + N - 1)), minus 1.  X is such that
 110    all the values X + 1, ..., X + N - 1 are exactly representable, and
 111    X_EPS / X is small enough that factors quadratic in it can be
 112    neglected.  */
 113 #if !defined __MATH_DECLARING_FLOAT
 114 extern _Mdouble_ __MSUF (__lgamma_product) (_Mdouble_ t, _Mdouble_ x,
 115                                             _Mdouble_ x_eps, int n);
 116 #endif
 117
 118 #undef __MSUF_X
 119 #undef __MSUF_S
 120 #undef __MSUF
 121
 122 #undef __MSUF_R_X
 123 #undef __MSUF_R_S
 124 #undef __MSUF_R