libc/winsup/cygwin/math/asinhl.c
Corinna Vinschen 792e51b721 Add missing long double functions to Cygwin
This patch adds the long double functions missing in newlib to Cygwin.
Apart from some self-written additions (exp10l, finite{f,l}, isinf{f,l},
isnan{f,l}, pow10l) the files are taken from the Mingw-w64 math lib.
Minor changes were required, e.g. substitue _WIN64 with __x86_64__ and
fixing __FLT_RPT_DOMAIN/__FLT_RPT_ERANGE for Cygwin.

Cygwin:
	* math: New subdir with math functions.
	* Makefile.in (VPATH): Add math subdir.
	(MATH_OFILES): List of object files collected from building files in
	math subdir.
	(DLL_OFILES): Add $(MATH_OFILES).
	${CURDIR}/libm.a: Add $(MATH_OFILES) to build.
	* common.din: Add new functions from math subdir.
	* i686.din: Align to new math subdir.  Remove functions now commonly
	available.
	* x86_64.din: Ditto.
	* math.h: math.h wrapper to define mingw structs used in some files in
	math subdir.
	* include/cygwin/version.h: Bump API minor version.

newlib:
	* libc/include/complex.h: Add prototypes for complex long double
	functions.  Only define for Cygwin.
	* libc/include/math.h: Additionally enable prototypes of long double
	functions for Cygwin.  Add Cygwin-only prototypes for dreml, sincosl,
	exp10l and pow10l.  Explain why we don't add them to newlib.
	* libc/include/tgmath.h: Enable long double handling on Cygwin.

Signed-off-by: Corinna Vinschen <corinna@vinschen.de>
2016-03-29 14:43:55 +02:00

34 lines
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C

/**
* This file has no copyright assigned and is placed in the Public Domain.
* This file is part of the mingw-w64 runtime package.
* No warranty is given; refer to the file DISCLAIMER.PD within this package.
*/
#include <math.h>
#include <errno.h>
#include "fastmath.h"
/* asinh(x) = copysign(log(fabs(x) + sqrt(x * x + 1.0)), x) */
long double asinhl(long double x)
{
long double z;
if (!isfinite (x))
return x;
z = fabsl (x);
/* Avoid setting FPU underflow exception flag in x * x. */
#if 0
if ( z < 0x1p-32)
return x;
#endif
/* Use log1p to avoid cancellation with small x. Put
x * x in denom, so overflow is harmless.
asinh(x) = log1p (x + sqrt (x * x + 1.0) - 1.0)
= log1p (x + x * x / (sqrt (x * x + 1.0) + 1.0)) */
z = __fast_log1pl (z + z * z / (__fast_sqrtl (z * z + 1.0L) + 1.0L));
return ( x > 0.0 ? z : -z);
}