diff options
Diffstat (limited to 'vendor/libm-0.1.4/src/math/asinhf.rs')
-rw-r--r-- | vendor/libm-0.1.4/src/math/asinhf.rs | 38 |
1 files changed, 38 insertions, 0 deletions
diff --git a/vendor/libm-0.1.4/src/math/asinhf.rs b/vendor/libm-0.1.4/src/math/asinhf.rs new file mode 100644 index 000000000..e22a29132 --- /dev/null +++ b/vendor/libm-0.1.4/src/math/asinhf.rs @@ -0,0 +1,38 @@ +use super::{log1pf, logf, sqrtf}; + +const LN2: f32 = 0.693147180559945309417232121458176568; + +/* asinh(x) = sign(x)*log(|x|+sqrt(x*x+1)) ~= x - x^3/6 + o(x^5) */ +/// Inverse hyperbolic sine (f32) +/// +/// Calculates the inverse hyperbolic sine of `x`. +/// Is defined as `sgn(x)*log(|x|+sqrt(x*x+1))`. +pub fn asinhf(mut x: f32) -> f32 { + let u = x.to_bits(); + let i = u & 0x7fffffff; + let sign = (u >> 31) != 0; + + /* |x| */ + x = f32::from_bits(i); + + if i >= 0x3f800000 + (12 << 23) { + /* |x| >= 0x1p12 or inf or nan */ + x = logf(x) + LN2; + } else if i >= 0x3f800000 + (1 << 23) { + /* |x| >= 2 */ + x = logf(2.0 * x + 1.0 / (sqrtf(x * x + 1.0) + x)); + } else if i >= 0x3f800000 - (12 << 23) { + /* |x| >= 0x1p-12, up to 1.6ulp error in [0.125,0.5] */ + x = log1pf(x + x * x / (sqrtf(x * x + 1.0) + 1.0)); + } else { + /* |x| < 0x1p-12, raise inexact if x!=0 */ + let x1p120 = f32::from_bits(0x7b800000); + force_eval!(x + x1p120); + } + + if sign { + -x + } else { + x + } +} |