#include "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