1 #include "libm.h" 2 3 #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 asinhl(long double x)4long double asinhl(long double x) 5 { 6 return asinh(x); 7 } 8 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 9 /* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */ asinhl(long double x)10long double asinhl(long double x) 11 { 12 union ldshape u = {x}; 13 unsigned e = u.i.se & 0x7fff; 14 unsigned s = u.i.se >> 15; 15 16 /* |x| */ 17 u.i.se = e; 18 x = u.f; 19 20 if (e >= 0x3fff + 32) { 21 /* |x| >= 0x1p32 or inf or nan */ 22 x = logl(x) + 0.693147180559945309417232121458176568L; 23 } else if (e >= 0x3fff + 1) { 24 /* |x| >= 2 */ 25 x = logl(2*x + 1/(sqrtl(x*x+1)+x)); 26 } else if (e >= 0x3fff - 32) { 27 /* |x| >= 0x1p-32 */ 28 x = log1pl(x + x*x/(sqrtl(x*x+1)+1)); 29 } else { 30 /* |x| < 0x1p-32, raise inexact if x!=0 */ 31 FORCE_EVAL(x + 0x1p120f); 32 } 33 return s ? -x : x; 34 } 35 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 36 // TODO: broken implementation to make things compile asinhl(long double x)37long double asinhl(long double x) 38 { 39 return asinh(x); 40 } 41 #endif 42