1*f504f610SAugustin Cavalier #include "libm.h" 2*f504f610SAugustin Cavalier 3*f504f610SAugustin Cavalier #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 asinhl(long double x)4*f504f610SAugustin Cavalierlong double asinhl(long double x) 5*f504f610SAugustin Cavalier { 6*f504f610SAugustin Cavalier return asinh(x); 7*f504f610SAugustin Cavalier } 8*f504f610SAugustin Cavalier #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 9*f504f610SAugustin Cavalier /* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */ asinhl(long double x)10*f504f610SAugustin Cavalierlong double asinhl(long double x) 11*f504f610SAugustin Cavalier { 12*f504f610SAugustin Cavalier union ldshape u = {x}; 13*f504f610SAugustin Cavalier unsigned e = u.i.se & 0x7fff; 14*f504f610SAugustin Cavalier unsigned s = u.i.se >> 15; 15*f504f610SAugustin Cavalier 16*f504f610SAugustin Cavalier /* |x| */ 17*f504f610SAugustin Cavalier u.i.se = e; 18*f504f610SAugustin Cavalier x = u.f; 19*f504f610SAugustin Cavalier 20*f504f610SAugustin Cavalier if (e >= 0x3fff + 32) { 21*f504f610SAugustin Cavalier /* |x| >= 0x1p32 or inf or nan */ 22*f504f610SAugustin Cavalier x = logl(x) + 0.693147180559945309417232121458176568L; 23*f504f610SAugustin Cavalier } else if (e >= 0x3fff + 1) { 24*f504f610SAugustin Cavalier /* |x| >= 2 */ 25*f504f610SAugustin Cavalier x = logl(2*x + 1/(sqrtl(x*x+1)+x)); 26*f504f610SAugustin Cavalier } else if (e >= 0x3fff - 32) { 27*f504f610SAugustin Cavalier /* |x| >= 0x1p-32 */ 28*f504f610SAugustin Cavalier x = log1pl(x + x*x/(sqrtl(x*x+1)+1)); 29*f504f610SAugustin Cavalier } else { 30*f504f610SAugustin Cavalier /* |x| < 0x1p-32, raise inexact if x!=0 */ 31*f504f610SAugustin Cavalier FORCE_EVAL(x + 0x1p120f); 32*f504f610SAugustin Cavalier } 33*f504f610SAugustin Cavalier return s ? -x : x; 34*f504f610SAugustin Cavalier } 35*f504f610SAugustin Cavalier #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 36*f504f610SAugustin Cavalier // TODO: broken implementation to make things compile asinhl(long double x)37*f504f610SAugustin Cavalierlong double asinhl(long double x) 38*f504f610SAugustin Cavalier { 39*f504f610SAugustin Cavalier return asinh(x); 40*f504f610SAugustin Cavalier } 41*f504f610SAugustin Cavalier #endif 42