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