42 lines
983 B
C
42 lines
983 B
C
#include "libc/math/libm.h"
|
|
|
|
#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
|
|
long double asinhl(long double x)
|
|
{
|
|
return asinh(x);
|
|
}
|
|
#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
|
|
/* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */
|
|
long double asinhl(long double x)
|
|
{
|
|
union ldshape u = {x};
|
|
unsigned e = u.i.se & 0x7fff;
|
|
unsigned s = u.i.se >> 15;
|
|
|
|
/* |x| */
|
|
u.i.se = e;
|
|
x = u.f;
|
|
|
|
if (e >= 0x3fff + 32) {
|
|
/* |x| >= 0x1p32 or inf or nan */
|
|
x = logl(x) + 0.693147180559945309417232121458176568L;
|
|
} else if (e >= 0x3fff + 1) {
|
|
/* |x| >= 2 */
|
|
x = logl(2*x + 1/(sqrtl(x*x+1)+x));
|
|
} else if (e >= 0x3fff - 32) {
|
|
/* |x| >= 0x1p-32 */
|
|
x = log1pl(x + x*x/(sqrtl(x*x+1)+1));
|
|
} else {
|
|
/* |x| < 0x1p-32, raise inexact if x!=0 */
|
|
FORCE_EVAL(x + 0x1p120f);
|
|
}
|
|
return s ? -x : x;
|
|
}
|
|
#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384
|
|
// TODO: broken implementation to make things compile
|
|
long double asinhl(long double x)
|
|
{
|
|
return asinh(x);
|
|
}
|
|
#endif
|