newlib/winsup/mingw/mingwex/math/asinhf.c
Danny Smith 72db1c11e9 * include/math.h (ashinh, asinhf, asinhl, acosh, acoshf, acoshl,
atanh, atanhf, atanhl): Add prototypes.
	* mingwex/Makefile.in (MATH_OBJS): Add objects for above to list.
	(MATH_DISTFILES): Add sources for above and fastmath.h to list.
	Specify dependency on fastmath.h for new objects.
	* mingwex/math/fastmath.h: New file.
	* mingwex/math/ashinh.c: New file.
	* mingwex/math/asinhf.c: New file.
	* mingwex/math/asinhl.c: New file.
	* mingwex/math/acosh.c: New file.
	* mingwex/math/acoshf.c: New file.
	* mingwex/math/acoshl.c: New file.
	* mingwex/math/atanh.c: New file.
	* mingwex/math/atanhf.c: New file.
	* mingwex/math/atanhl.c: New file.
2004-10-06 20:31:32 +00:00

29 lines
646 B
C
Executable File

#include <math.h>
#include <errno.h>
#include "fastmath.h"
/* asinh(x) = copysign(log(fabs(x) + sqrt(x * x + 1.0)), x) */
float asinhf(float x)
{
float z;
if (!isfinite (x))
return x;
z = fabsf (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_log1p (z + z * z / (__fast_sqrt (z * z + 1.0) + 1.0));
return ( x > 0.0 ? z : -z);
}