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- /* Prototype declarations for math functions; helper file for <math.h>.
- Copyright (C) 1996-2002, 2003, 2006 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
- /* __MATHCALLX(type,function,[suffix],args,attrib) and
- * __MATHCALLI(type,function,[suffix],args) include libm_hidden_proto
- * (for "double" versions only, xxxf and xxxl do not get this treatment).
- *
- * __MATHDECL(type,function,[suffix],args) does not.
- * __MATHCALL(function,[suffix],args) also does not
- * (it is just a shortcut to __MATHDECL(_Mdouble_,function,[suffix],args)).
- *
- * __MATHDECL_PRIV(type,function,[suffix],args,attrib)
- * includes libm_hidden_proto (always) and declares __foo, not foo.
- */
- /* Trigonometric functions. */
- _Mdouble_BEGIN_NAMESPACE
- /* Arc cosine of X. */
- __MATHCALLI (acos,, (_Mdouble_ __x))
- /* Arc sine of X. */
- __MATHCALLI (asin,, (_Mdouble_ __x))
- /* Arc tangent of X. */
- __MATHCALLI (atan,, (_Mdouble_ __x))
- /* Arc tangent of Y/X. */
- __MATHCALLI (atan2,, (_Mdouble_ __y, _Mdouble_ __x))
- /* Cosine of X. */
- __MATHCALLI (cos,, (_Mdouble_ __x))
- # if defined _LIBC && defined _Mlong_double_
- libm_hidden_proto(cosl)
- # endif
- # if defined _LIBC && defined _Mfloat_
- libm_hidden_proto(cosf)
- # endif
- /* Sine of X. */
- __MATHCALLI (sin,, (_Mdouble_ __x))
- # if defined _LIBC && defined _Mlong_double_
- libm_hidden_proto(sinl)
- # endif
- # if defined _LIBC && defined _Mfloat_
- libm_hidden_proto(sinf)
- # endif
- /* Tangent of X. */
- __MATHCALLI (tan,, (_Mdouble_ __x))
- /* Hyperbolic functions. */
- /* Hyperbolic cosine of X. */
- __MATHCALLI (cosh,, (_Mdouble_ __x))
- /* Hyperbolic sine of X. */
- __MATHCALLI (sinh,, (_Mdouble_ __x))
- /* Hyperbolic tangent of X. */
- __MATHCALLI (tanh,, (_Mdouble_ __x))
- _Mdouble_END_NAMESPACE
- #if defined __USE_GNU
- /* Cosine and sine of X. */
- __MATHDECL (void,sincos,,
- (_Mdouble_ __x, _Mdouble_ *__sinx, _Mdouble_ *__cosx))
- #endif
- #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
- __BEGIN_NAMESPACE_C99
- /* Hyperbolic arc cosine of X. */
- __MATHCALLI (acosh,, (_Mdouble_ __x))
- /* Hyperbolic arc sine of X. */
- __MATHCALLI (asinh,, (_Mdouble_ __x))
- /* Hyperbolic arc tangent of X. */
- __MATHCALLI (atanh,, (_Mdouble_ __x))
- __END_NAMESPACE_C99
- #endif
- /* Exponential and logarithmic functions. */
- _Mdouble_BEGIN_NAMESPACE
- /* Exponential function of X. */
- __MATHCALLI (exp,, (_Mdouble_ __x))
- # if defined _LIBC && defined _Mlong_double_
- libm_hidden_proto(expl)
- # endif
- /* Break VALUE into a normalized fraction and an integral power of 2. */
- __MATHCALLI (frexp,, (_Mdouble_ __x, int *__exponent))
- /* X times (two to the EXP power). */
- __MATHCALLI (ldexp,, (_Mdouble_ __x, int __exponent))
- /* Natural logarithm of X. */
- __MATHCALLI (log,, (_Mdouble_ __x))
- /* Base-ten logarithm of X. */
- __MATHCALLI (log10,, (_Mdouble_ __x))
- /* Break VALUE into integral and fractional parts. */
- __MATHCALLI (modf,, (_Mdouble_ __x, _Mdouble_ *__iptr))
- _Mdouble_END_NAMESPACE
- #if defined __USE_GNU
- /* A function missing in all standards: compute exponent to base ten. */
- __MATHCALLI (exp10,, (_Mdouble_ __x))
- /* Another name occasionally used. */
- __MATHCALLI (pow10,, (_Mdouble_ __x))
- #endif
- #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
- __BEGIN_NAMESPACE_C99
- /* Return exp(X) - 1. */
- __MATHCALLI (expm1,, (_Mdouble_ __x))
- /* Return log(1 + X). */
- __MATHCALLI (log1p,, (_Mdouble_ __x))
- /* Return the base 2 signed integral exponent of X. */
- __MATHCALLI (logb,, (_Mdouble_ __x))
- __END_NAMESPACE_C99
- #endif
- #ifdef __USE_ISOC99
- __BEGIN_NAMESPACE_C99
- /* Compute base-2 exponential of X. */
- __MATHCALLI (exp2,, (_Mdouble_ __x))
- /* Compute base-2 logarithm of X. */
- __MATHCALLI (log2,, (_Mdouble_ __x))
- __END_NAMESPACE_C99
- #endif
- /* Power functions. */
- _Mdouble_BEGIN_NAMESPACE
- /* Return X to the Y power. */
- __MATHCALLI (pow,, (_Mdouble_ __x, _Mdouble_ __y))
- /* Return the square root of X. */
- __MATHCALLI (sqrt,, (_Mdouble_ __x))
- _Mdouble_END_NAMESPACE
- #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
- __BEGIN_NAMESPACE_C99
- /* Return `sqrt(X*X + Y*Y)'. */
- __MATHCALLI (hypot,, (_Mdouble_ __x, _Mdouble_ __y))
- # if defined _LIBC && defined _Mlong_double_
- libm_hidden_proto(hypotl)
- # endif
- __END_NAMESPACE_C99
- #endif
- #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
- __BEGIN_NAMESPACE_C99
- /* Return the cube root of X. */
- __MATHCALLI (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. */
- __MATHCALLI (fmod,, (_Mdouble_ __x, _Mdouble_ __y))
- /* Return 0 if VALUE is finite or NaN, +1 if it
- is +Infinity, -1 if it is -Infinity. */
- __MATHDECL_PRIV (int,isinf,, (_Mdouble_ __value), (__const__))
- /* Return nonzero if VALUE is finite and not NaN. */
- __MATHDECL_PRIV (int,finite,, (_Mdouble_ __value), (__const__))
- _Mdouble_END_NAMESPACE
- #ifdef __USE_MISC
- #if 0
- /* Return 0 if VALUE is finite or NaN, +1 if it
- is +Infinity, -1 if it is -Infinity. */
- __MATHDECL_PRIV (int,isinf,, (_Mdouble_ __value), (__const__))
- /* Return nonzero if VALUE is finite and not NaN. */
- __MATHDECL_PRIV (int,finite,, (_Mdouble_ __value), (__const__))
- #endif
- /* Return the remainder of X/Y. */
- __MATHCALL (drem,, (_Mdouble_ __x, _Mdouble_ __y))
- /* Return the fractional part of X after dividing out `ilogb (X)'. */
- __MATHCALLI (significand,, (_Mdouble_ __x))
- #endif /* Use misc. */
- #if defined __USE_MISC || defined __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 NaN for double type. */
- __MATHCALLX (nan,, (const char *__tagb), (__const__))
- __END_NAMESPACE_C99
- #endif
- #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
- /* Return nonzero if VALUE is not a number. */
- __BEGIN_NAMESPACE_C99
- __MATHDECL_PRIV (int,isnan,, (_Mdouble_ __value), (__const__))
- __END_NAMESPACE_C99
- #endif
- #if defined __USE_MISC || defined __USE_XOPEN
- # ifdef __DO_XSI_MATH__
- /* Bessel functions. */
- __MATHCALL (j0,, (_Mdouble_))
- __MATHCALL (j1,, (_Mdouble_))
- __MATHCALL (jn,, (int, _Mdouble_))
- __MATHCALL (y0,, (_Mdouble_))
- __MATHCALL (y1,, (_Mdouble_))
- __MATHCALL (yn,, (int, _Mdouble_))
- # endif
- #endif
- #if defined __USE_MISC || defined __USE_XOPEN || defined __USE_ISOC99
- __BEGIN_NAMESPACE_C99
- /* Error and gamma functions. */
- __MATHCALLI (erf,, (_Mdouble_))
- __MATHCALLI (erfc,, (_Mdouble_))
- __MATHCALLI (lgamma,, (_Mdouble_))
- __END_NAMESPACE_C99
- #endif
- #ifdef __USE_ISOC99
- __BEGIN_NAMESPACE_C99
- /* True gamma function. */
- __MATHCALLI (tgamma,, (_Mdouble_))
- __END_NAMESPACE_C99
- #endif
- #if defined __USE_MISC || defined __USE_XOPEN
- /* Obsolete alias for `lgamma'. */
- __MATHCALLI (gamma,, (_Mdouble_))
- #endif
- //#ifdef __USE_MISC
- /* To provide compatibility with finite-math-only in C99 and C11
- * standerts function lgamma_r should be declared, when defined __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))
- /* __MATHCALLI does not work here, probably due to ,_r, */
- libm_hidden_proto(lgamma_r)
- //#endif
- #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
- __BEGIN_NAMESPACE_C99
- /* Return the integer nearest X in the direction of the
- prevailing rounding mode. */
- __MATHCALLI (rint,, (_Mdouble_ __x))
- /* Return X + epsilon if X < Y, X - epsilon if X > Y. */
- __MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__))
- # if defined _LIBC && defined _Mlong_double_
- libm_hidden_proto(nextafterl)
- # endif
- # if defined __USE_ISOC99 && !defined __LDBL_COMPAT
- __MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__))
- # endif
- /* Return the remainder of integer divison X / Y with infinite precision. */
- __MATHCALLI (remainder,, (_Mdouble_ __x, _Mdouble_ __y))
- # if defined __USE_MISC || defined __USE_ISOC99
- /* Return X times (2 to the Nth power). */
- __MATHCALLI (scalbn,, (_Mdouble_ __x, int __n))
- # endif
- /* Return the binary exponent of X, which must be nonzero. */
- __MATHDECLI (int,ilogb,, (_Mdouble_ __x))
- #endif
- #ifdef __USE_ISOC99
- /* Return X times (2 to the Nth power). */
- __MATHCALLI (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. */
- __MATHCALLI (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. */
- __MATHCALLI (remquo,, (_Mdouble_ __x, _Mdouble_ __y, int *__quo))
- /* Conversion functions. */
- /* Round X to nearest integral value according to current rounding
- direction. */
- __MATHDECLI (long int,lrint,, (_Mdouble_ __x))
- __MATHDECLI (long long int,llrint,, (_Mdouble_ __x))
- /* Round X to nearest integral value, rounding halfway cases away from
- zero. */
- __MATHDECLI (long int,lround,, (_Mdouble_ __x))
- __MATHDECLI (long long int,llround,, (_Mdouble_ __x))
- /* Return positive difference between X and Y. */
- __MATHCALLI (fdim,, (_Mdouble_ __x, _Mdouble_ __y))
- /* Return maximum numeric value from X and Y. */
- __MATHCALLI (fmax,, (_Mdouble_ __x, _Mdouble_ __y))
- /* Return minimum numeric value from X and Y. */
- __MATHCALLI (fmin,, (_Mdouble_ __x, _Mdouble_ __y))
- /* Classify given number. */
- __MATHDECL_PRIV (int, fpclassify,, (_Mdouble_ __value), (__const__))
- /* Test for negative number. */
- __MATHDECL_PRIV (int, signbit,, (_Mdouble_ __value), (__const__))
- /* Multiply-add function computed as a ternary operation. */
- __MATHCALLI (fma,, (_Mdouble_ __x, _Mdouble_ __y, _Mdouble_ __z))
- #endif /* Use ISO C99. */
- #if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC99
- __END_NAMESPACE_C99
- #endif
- #if (defined __USE_MISC || defined __USE_XOPEN_EXTENDED) \
- && defined __UCLIBC_SUSV3_LEGACY__
- /* Return X times (2 to the Nth power). */
- __MATHCALLI (scalb,, (_Mdouble_ __x, _Mdouble_ __n))
- #endif
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