#include "libm.h" #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 long double acoshl(long double x) { return acosh(x); } #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 /* acosh(x) = log(x + sqrt(x*x-1)) */ long double acoshl(long double x) { union ldshape u = {x}; int e = u.i.se & 0x7fff; if (e < 0x3fff + 1) /* |x| < 2, invalid if x < 1 or nan */ return log1pl(x-1 + sqrtl((x-1)*(x-1)+2*(x-1))); if (e < 0x3fff + 32) /* |x| < 0x1p32 */ return logl(2*x - 1/(x+sqrtl(x*x-1))); return logl(x) + 0.693147180559945309417232121458176568L; } #endif