/* Prototype declarations for math functions; helper file for <math.h>.
   Copyright (C) 1996-2016 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.  */

_Mdouble_BEGIN_NAMESPACE
/* 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));
_Mdouble_END_NAMESPACE
#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
__BEGIN_NAMESPACE_C99
/* 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));
__END_NAMESPACE_C99
#endif
/* Exponential and logarithmic functions.  */
    _Mdouble_BEGIN_NAMESPACE
/* 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));
_Mdouble_END_NAMESPACE
#ifdef __USE_GNU
/* A function missing in all standards: compute exponent to base ten.  */
__MATHCALL(exp10,, (_Mdouble_ __x));
/* Another name occasionally used.  */
__MATHCALL(pow10,, (_Mdouble_ __x));
#endif

#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* 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));
__END_NAMESPACE_C99
#endif
#ifdef __USE_ISOC99
    __BEGIN_NAMESPACE_C99
/* Compute base-2 exponential of X.  */
__MATHCALL(exp2,, (_Mdouble_ __x));

/* Compute base-2 logarithm of X.  */
__MATHCALL(log2,, (_Mdouble_ __x));
__END_NAMESPACE_C99
#endif
/* Power functions.  */
    _Mdouble_BEGIN_NAMESPACE
/* Return X to the Y power.  */
__MATHCALL_VEC(pow,, (_Mdouble_ __x, _Mdouble_ __y));

/* Return the square root of X.  */
__MATHCALL(sqrt,, (_Mdouble_ __x));
_Mdouble_END_NAMESPACE
#if defined __USE_XOPEN || defined __USE_ISOC99
    __BEGIN_NAMESPACE_C99
/* Return `sqrt(X*X + Y*Y)'.  */
__MATHCALL(hypot,, (_Mdouble_ __x, _Mdouble_ __y));
__END_NAMESPACE_C99
#endif
#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
    __BEGIN_NAMESPACE_C99
/* Return the cube root of X.  */
__MATHCALL(cbrt,, (_Mdouble_ __x));
__END_NAMESPACE_C99
#endif
/* Nearest integer, absolute value, and remainder functions.  */
    _Mdouble_BEGIN_NAMESPACE
/* 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));

/* 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__));

/* Return nonzero if VALUE is finite and not NaN.  */
__MATHDECL_1(int, __finite,, (_Mdouble_ __value)) __attribute__ ((__const__));
_Mdouble_END_NAMESPACE
#ifdef __USE_MISC
#if (!defined __cplusplus \
      || __cplusplus < 201103L /* isinf conflicts with C++11.  */ \
      || __MATH_DECLARING_DOUBLE == 0)	/* isinff or isinfl don't.  */
/* 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

/* 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				/* Use misc.  */

#ifdef __USE_ISOC99
__BEGIN_NAMESPACE_C99
/* Return X with its signed changed to Y's.  */
__MATHCALLX(copysign,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
__END_NAMESPACE_C99
#endif
#ifdef __USE_ISOC99
    __BEGIN_NAMESPACE_C99
/* Return representation of qNaN for double type.  */
__MATHCALLX(nan,, (const char *__tagb), (__const__));
__END_NAMESPACE_C99
#endif
/* Return nonzero if VALUE is not a number.  */
__MATHDECL_1(int, __isnan,, (_Mdouble_ __value)) __attribute__ ((__const__));

#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.  */
/* 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
__BEGIN_NAMESPACE_C99
/* Error and gamma functions.  */
__MATHCALL(erf,, (_Mdouble_));
__MATHCALL(erfc,, (_Mdouble_));
__MATHCALL(lgamma,, (_Mdouble_));
__END_NAMESPACE_C99
#endif
#ifdef __USE_ISOC99
    __BEGIN_NAMESPACE_C99
/* True gamma function.  */
__MATHCALL(tgamma,, (_Mdouble_));
__END_NAMESPACE_C99
#endif
#if defined __USE_MISC || (defined __USE_XOPEN && !defined __USE_XOPEN2K)
/* Obsolete alias for `lgamma'.  */
__MATHCALL(gamma,, (_Mdouble_));
#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
__BEGIN_NAMESPACE_C99
/* 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.  */
__MATHCALLX(nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
#if defined __USE_ISOC99 && !defined __LDBL_COMPAT
__MATHCALLX(nexttoward,, (_Mdouble_ __x, long double __y), (__const__));
#endif

#ifdef __USE_GNU
/* 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

#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__));

/* Classify given number.  */
__MATHDECL_1(int, __fpclassify,, (_Mdouble_ __value))
    __attribute__ ((__const__));

/* Test for negative number.  */
__MATHDECL_1(int, __signbit,, (_Mdouble_ __value))
    __attribute__ ((__const__));

/* Multiply-add function computed as a ternary operation.  */
__MATHCALL(fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z));
#endif				/* Use ISO C99.  */

#if defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
__END_NAMESPACE_C99
#endif
#ifdef __USE_GNU
/* Test for signaling NaN.  */
__MATHDECL_1(int, __issignaling,, (_Mdouble_ __value))
    __attribute__ ((__const__));
#endif

#if defined __USE_MISC || (defined __USE_XOPEN_EXTENDED \
			   && __MATH_DECLARING_DOUBLE	\
			   && !defined __USE_XOPEN2K8)
/* Return X times (2 to the Nth power).  */
__MATHCALL(scalb,, (_Mdouble_ __x, _Mdouble_ __n));
#endif
