]>
git.proxmox.com Git - rustc.git/blob - vendor/compiler_builtins/libm/src/math/asinhf.rs
1 use super::{log1pf, logf, sqrtf}
;
3 const LN2
: f32 = 0.693147180559945309417232121458176568;
5 /* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */
6 /// Inverse hyperbolic sine (f32)
8 /// Calculates the inverse hyperbolic sine of `x`.
9 /// Is defined as `sgn(x)*log(|x|+sqrt(x*x+1))`.
10 #[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)]
11 pub fn asinhf(mut x
: f32) -> f32 {
13 let i
= u
& 0x7fffffff;
14 let sign
= (u
>> 31) != 0;
17 x
= f32::from_bits(i
);
19 if i
>= 0x3f800000 + (12 << 23) {
20 /* |x| >= 0x1p12 or inf or nan */
22 } else if i
>= 0x3f800000 + (1 << 23) {
24 x
= logf(2.0 * x
+ 1.0 / (sqrtf(x
* x
+ 1.0) + x
));
25 } else if i
>= 0x3f800000 - (12 << 23) {
26 /* |x| >= 0x1p-12, up to 1.6ulp error in [0.125,0.5] */
27 x
= log1pf(x
+ x
* x
/ (sqrtf(x
* x
+ 1.0) + 1.0));
29 /* |x| < 0x1p-12, raise inexact if x!=0 */
30 let x1p120
= f32::from_bits(0x7b800000);
31 force_eval
!(x
+ x1p120
);