blob: e7b684587887e7b73547bf007f638b36e1093a16 [file] [log] [blame]
use super::expf;
use super::expm1f;
use super::k_expo2f;
/// Hyperbolic cosine (f64)
///
/// Computes the hyperbolic cosine of the argument x.
/// Is defined as `(exp(x) + exp(-x))/2`
/// Angles are specified in radians.
#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)]
pub fn coshf(mut x: f32) -> f32 {
let x1p120 = f32::from_bits(0x7b800000); // 0x1p120f === 2 ^ 120
/* |x| */
let mut ix = x.to_bits();
ix &= 0x7fffffff;
x = f32::from_bits(ix);
let w = ix;
/* |x| < log(2) */
if w < 0x3f317217 {
if w < (0x3f800000 - (12 << 23)) {
force_eval!(x + x1p120);
return 1.;
}
let t = expm1f(x);
return 1. + t * t / (2. * (1. + t));
}
/* |x| < log(FLT_MAX) */
if w < 0x42b17217 {
let t = expf(x);
return 0.5 * (t + 1. / t);
}
/* |x| > log(FLT_MAX) or nan */
k_expo2f(x)
}