|  | /* 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 | 
|  |  | 
|  | /* 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 |