| /* 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 |