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/* Prototype declarations for math functions; helper file for <math.h>.
Copyright (C) 1996-2018 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C Library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
The GNU C Library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
/* NOTE: Because of the special way this file is used by <math.h>, this
file must NOT be protected from multiple inclusion as header files
usually are.
This file provides prototype declarations for the math functions.
Most functions are declared using the macro:
__MATHCALL (NAME,[_r], (ARGS...));
This means there is a function `NAME' returning `double' and a function
`NAMEf' returning `float'. Each place `_Mdouble_' appears in the
prototype, that is actually `double' in the prototype for `NAME' and
`float' in the prototype for `NAMEf'. Reentrant variant functions are
called `NAME_r' and `NAMEf_r'.
Functions returning other types like `int' are declared using the macro:
__MATHDECL (TYPE, NAME,[_r], (ARGS...));
This is just like __MATHCALL but for a function returning `TYPE'
instead of `_Mdouble_'. In all of these cases, there is still
both a `NAME' and a `NAMEf' that takes `float' arguments.
Note that there must be no whitespace before the argument passed for
NAME, to make token pasting work with -traditional. */
#ifndef _MATH_H
# error "Never include <bits/mathcalls.h> directly; include <math.h> instead."
#endif
/* Trigonometric functions. */
/* Arc cosine of X. */
__MATHCALL (acos,, (_Mdouble_ __x));
/* Arc sine of X. */
__MATHCALL (asin,, (_Mdouble_ __x));
/* Arc tangent of X. */
__MATHCALL (atan,, (_Mdouble_ __x));
/* Arc tangent of Y/X. */
__MATHCALL (atan2,, (_Mdouble_ __y, _Mdouble_ __x));
/* Cosine of X. */
__MATHCALL_VEC (cos,, (_Mdouble_ __x));
/* Sine of X. */
__MATHCALL_VEC (sin,, (_Mdouble_ __x));
/* Tangent of X. */
__MATHCALL (tan,, (_Mdouble_ __x));
/* Hyperbolic functions. */
/* Hyperbolic cosine of X. */
__MATHCALL (cosh,, (_Mdouble_ __x));
/* Hyperbolic sine of X. */
__MATHCALL (sinh,, (_Mdouble_ __x));
/* Hyperbolic tangent of X. */
__MATHCALL (tanh,, (_Mdouble_ __x));
#ifdef __USE_GNU
/* Cosine and sine of X. */
__MATHDECL_VEC (void,sincos,,
(_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx));
#endif
#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
/* Hyperbolic arc cosine of X. */
__MATHCALL (acosh,, (_Mdouble_ __x));
/* Hyperbolic arc sine of X. */
__MATHCALL (asinh,, (_Mdouble_ __x));
/* Hyperbolic arc tangent of X. */
__MATHCALL (atanh,, (_Mdouble_ __x));
#endif
/* Exponential and logarithmic functions. */
/* Exponential function of X. */
__MATHCALL_VEC (exp,, (_Mdouble_ __x));
/* Break VALUE into a normalized fraction and an integral power of 2. */
__MATHCALL (frexp,, (_Mdouble_ __x, int *__exponent));
/* X times (two to the EXP power). */
__MATHCALL (ldexp,, (_Mdouble_ __x, int __exponent));
/* Natural logarithm of X. */
__MATHCALL_VEC (log,, (_Mdouble_ __x));
/* Base-ten logarithm of X. */
__MATHCALL (log10,, (_Mdouble_ __x));
/* Break VALUE into integral and fractional parts. */
__MATHCALL (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr)) __nonnull ((2));
#if __GLIBC_USE (IEC_60559_FUNCS_EXT)
/* Compute exponent to base ten. */
__MATHCALL (exp10,, (_Mdouble_ __x));
#endif
#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
/* Return exp(X) - 1. */
__MATHCALL (expm1,, (_Mdouble_ __x));
/* Return log(1 + X). */
__MATHCALL (log1p,, (_Mdouble_ __x));
/* Return the base 2 signed integral exponent of X. */
__MATHCALL (logb,, (_Mdouble_ __x));
#endif
#ifdef __USE_ISOC99
/* Compute base-2 exponential of X. */
__MATHCALL (exp2,, (_Mdouble_ __x));
/* Compute base-2 logarithm of X. */
__MATHCALL (log2,, (_Mdouble_ __x));
#endif
/* Power functions. */
/* Return X to the Y power. */
__MATHCALL_VEC (pow,, (_Mdouble_ __x, _Mdouble_ __y));
/* Return the square root of X. */
__MATHCALL (sqrt,, (_Mdouble_ __x));
#if defined __USE_XOPEN || defined __USE_ISOC99
/* Return `sqrt(X*X + Y*Y)'. */
__MATHCALL (hypot,, (_Mdouble_ __x, _Mdouble_ __y));
#endif
#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
/* Return the cube root of X. */
__MATHCALL (cbrt,, (_Mdouble_ __x));
#endif
/* Nearest integer, absolute value, and remainder functions. */
/* Smallest integral value not less than X. */
__MATHCALLX (ceil,, (_Mdouble_ __x), (__const__));
/* Absolute value of X. */
__MATHCALLX (fabs,, (_Mdouble_ __x), (__const__));
/* Largest integer not greater than X. */
__MATHCALLX (floor,, (_Mdouble_ __x), (__const__));
/* Floating-point modulo remainder of X/Y. */
__MATHCALL (fmod,, (_Mdouble_ __x, _Mdouble_ __y));
#ifdef __USE_MISC
# if ((!defined __cplusplus \
|| __cplusplus < 201103L /* isinf conflicts with C++11. */ \
|| __MATH_DECLARING_DOUBLE == 0)) /* isinff or isinfl don't. */ \
&& !__MATH_DECLARING_FLOATN
/* Return 0 if VALUE is finite or NaN, +1 if it
is +Infinity, -1 if it is -Infinity. */
__MATHDECL_1 (int,isinf,, (_Mdouble_ __value)) __attribute__ ((__const__));
# endif
# if !__MATH_DECLARING_FLOATN
/* Return nonzero if VALUE is finite and not NaN. */
__MATHDECL_1 (int,finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
/* Return the remainder of X/Y. */
__MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y));
/* Return the fractional part of X after dividing out `ilogb (X)'. */
__MATHCALL (significand,, (_Mdouble_ __x));
# endif
#endif /* Use misc. */
#ifdef __USE_ISOC99
/* Return X with its signed changed to Y's. */
__MATHCALLX (copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
#endif
#ifdef __USE_ISOC99
/* Return representation of qNaN for double type. */
__MATHCALL (nan,, (const char *__tagb));
#endif
#if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)
# if ((!defined __cplusplus \
|| __cplusplus < 201103L /* isnan conflicts with C++11. */ \
|| __MATH_DECLARING_DOUBLE == 0)) /* isnanf or isnanl don't. */ \
&& !__MATH_DECLARING_FLOATN
/* Return nonzero if VALUE is not a number. */
__MATHDECL_1 (int,isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));
# endif
#endif
#if defined __USE_MISC || (defined __USE_XOPEN && __MATH_DECLARING_DOUBLE)
/* Bessel functions. */
__MATHCALL (j0,, (_Mdouble_));
__MATHCALL (j1,, (_Mdouble_));
__MATHCALL (jn,, (int, _Mdouble_));
__MATHCALL (y0,, (_Mdouble_));
__MATHCALL (y1,, (_Mdouble_));
__MATHCALL (yn,, (int, _Mdouble_));
#endif
#if defined __USE_XOPEN || defined __USE_ISOC99
/* Error and gamma functions. */
__MATHCALL (erf,, (_Mdouble_));
__MATHCALL (erfc,, (_Mdouble_));
__MATHCALL (lgamma,, (_Mdouble_));
#endif
#ifdef __USE_ISOC99
/* True gamma function. */
__MATHCALL (tgamma,, (_Mdouble_));
#endif
#if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)
# if !__MATH_DECLARING_FLOATN
/* Obsolete alias for `lgamma'. */
__MATHCALL (gamma,, (_Mdouble_));
# endif
#endif
#ifdef __USE_MISC
/* Reentrant version of lgamma. This function uses the global variable
`signgam'. The reentrant version instead takes a pointer and stores
the value through it. */
__MATHCALL (lgamma,_r, (_Mdouble_, int *__signgamp));
#endif
#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
/* Return the integer nearest X in the direction of the
prevailing rounding mode. */
__MATHCALL (rint,, (_Mdouble_ __x));
/* Return X + epsilon if X < Y, X - epsilon if X > Y. */
__MATHCALL (nextafter,, (_Mdouble_ __x, _Mdouble_ __y));
# if defined __USE_ISOC99 && !defined __LDBL_COMPAT && !__MATH_DECLARING_FLOATN
__MATHCALL (nexttoward,, (_Mdouble_ __x, long double __y));
# endif
# if __GLIBC_USE (IEC_60559_BFP_EXT) || __MATH_DECLARING_FLOATN
/* Return X - epsilon. */
__MATHCALL (nextdown,, (_Mdouble_ __x));
/* Return X + epsilon. */
__MATHCALL (nextup,, (_Mdouble_ __x));
# endif
/* Return the remainder of integer divison X / Y with infinite precision. */
__MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
# ifdef __USE_ISOC99
/* Return X times (2 to the Nth power). */
__MATHCALL (scalbn,, (_Mdouble_ __x, int __n));
# endif
/* Return the binary exponent of X, which must be nonzero. */
__MATHDECL (int,ilogb,, (_Mdouble_ __x));
#endif
#if __GLIBC_USE (IEC_60559_BFP_EXT) || __MATH_DECLARING_FLOATN
/* Like ilogb, but returning long int. */
__MATHDECL (long int, llogb,, (_Mdouble_ __x));
#endif
#ifdef __USE_ISOC99
/* Return X times (2 to the Nth power). */
__MATHCALL (scalbln,, (_Mdouble_ __x, long int __n));
/* Round X to integral value in floating-point format using current
rounding direction, but do not raise inexact exception. */
__MATHCALL (nearbyint,, (_Mdouble_ __x));
/* Round X to nearest integral value, rounding halfway cases away from
zero. */
__MATHCALLX (round,, (_Mdouble_ __x), (__const__));
/* Round X to the integral value in floating-point format nearest but
not larger in magnitude. */
__MATHCALLX (trunc,, (_Mdouble_ __x), (__const__));
/* Compute remainder of X and Y and put in *QUO a value with sign of x/y
and magnitude congruent `mod 2^n' to the magnitude of the integral
quotient x/y, with n >= 3. */
__MATHCALL (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo));
/* Conversion functions. */
/* Round X to nearest integral value according to current rounding
direction. */
__MATHDECL (long int,lrint,, (_Mdouble_ __x));
__extension__
__MATHDECL (long long int,llrint,, (_Mdouble_ __x));
/* Round X to nearest integral value, rounding halfway cases away from
zero. */
__MATHDECL (long int,lround,, (_Mdouble_ __x));
__extension__
__MATHDECL (long long int,llround,, (_Mdouble_ __x));
/* Return positive difference between X and Y. */
__MATHCALL (fdim,, (_Mdouble_ __x, _Mdouble_ __y));
/* Return maximum numeric value from X and Y. */
__MATHCALLX (fmax,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
/* Return minimum numeric value from X and Y. */
__MATHCALLX (fmin,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
/* Multiply-add function computed as a ternary operation. */
__MATHCALL (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
#endif /* Use ISO C99. */
#if __GLIBC_USE (IEC_60559_BFP_EXT) || __MATH_DECLARING_FLOATN
/* Round X to nearest integer value, rounding halfway cases to even. */
__MATHCALLX (roundeven,, (_Mdouble_ __x), (__const__));
/* Round X to nearest signed integer value, not raising inexact, with
control of rounding direction and width of result. */
__MATHDECL (__intmax_t, fromfp,, (_Mdouble_ __x, int __round,
unsigned int __width));
/* Round X to nearest unsigned integer value, not raising inexact,
with control of rounding direction and width of result. */
__MATHDECL (__uintmax_t, ufromfp,, (_Mdouble_ __x, int __round,
unsigned int __width));
/* Round X to nearest signed integer value, raising inexact for
non-integers, with control of rounding direction and width of
result. */
__MATHDECL (__intmax_t, fromfpx,, (_Mdouble_ __x, int __round,
unsigned int __width));
/* Round X to nearest unsigned integer value, raising inexact for
non-integers, with control of rounding direction and width of
result. */
__MATHDECL (__uintmax_t, ufromfpx,, (_Mdouble_ __x, int __round,
unsigned int __width));
/* Return value with maximum magnitude. */
__MATHCALLX (fmaxmag,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
/* Return value with minimum magnitude. */
__MATHCALLX (fminmag,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
/* Total order operation. */
__MATHDECL_1 (int, totalorder,, (_Mdouble_ __x, _Mdouble_ __y))
__attribute__ ((__const__));
/* Total order operation on absolute values. */
__MATHDECL_1 (int, totalordermag,, (_Mdouble_ __x, _Mdouble_ __y))
__attribute__ ((__const__));
/* Canonicalize floating-point representation. */
__MATHDECL_1 (int, canonicalize,, (_Mdouble_ *__cx, const _Mdouble_ *__x));
/* Get NaN payload. */
__MATHCALL (getpayload,, (const _Mdouble_ *__x));
/* Set quiet NaN payload. */
__MATHDECL_1 (int, setpayload,, (_Mdouble_ *__x, _Mdouble_ __payload));
/* Set signaling NaN payload. */
__MATHDECL_1 (int, setpayloadsig,, (_Mdouble_ *__x, _Mdouble_ __payload));
#endif
#if (defined __USE_MISC || (defined __USE_XOPEN_EXTENDED \
&& __MATH_DECLARING_DOUBLE \
&& !defined __USE_XOPEN2K8)) \
&& !__MATH_DECLARING_FLOATN
/* Return X times (2 to the Nth power). */
__MATHCALL (scalb,, (_Mdouble_ __x, _Mdouble_ __n));
#endif
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