/* acosh(x) = log(x + sqrt(x*x-1)) */
long double acoshl(long double x)
{
- union {
- long double f;
- struct{uint64_t m; int16_t se; uint16_t pad;} i;
- } u = {.f = x};
+ union ldshape u = {x};
+ int e = u.i.se & 0x7fff;
- if (u.i.se < 0x3fff + 1)
- /* x < 2, invalid if x < 1 or nan */
+ 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 (u.i.se < 0x3fff + 32)
- /* x < 0x1p32 */
+ if (e < 0x3fff + 32)
+ /* |x| < 0x1p32 */
return logl(2*x - 1/(x+sqrtl(x*x-1)));
return logl(x) + 0.693147180559945309417232121458176568L;
}
+#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384
+// TODO: broken implementation to make things compile
+long double acoshl(long double x)
+{
+ return acosh(x);
+}
#endif