diff options
Diffstat (limited to 'vendor/libm/src/math/tanh.rs')
-rw-r--r-- | vendor/libm/src/math/tanh.rs | 54 |
1 files changed, 54 insertions, 0 deletions
diff --git a/vendor/libm/src/math/tanh.rs b/vendor/libm/src/math/tanh.rs new file mode 100644 index 000000000..75d695cf7 --- /dev/null +++ b/vendor/libm/src/math/tanh.rs @@ -0,0 +1,54 @@ +use super::expm1; + +/* tanh(x) = (exp(x) - exp(-x))/(exp(x) + exp(-x)) + * = (exp(2*x) - 1)/(exp(2*x) - 1 + 2) + * = (1 - exp(-2*x))/(exp(-2*x) - 1 + 2) + */ +#[inline] +#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)] +pub fn tanh(mut x: f64) -> f64 { + let mut uf: f64 = x; + let mut ui: u64 = f64::to_bits(uf); + + let w: u32; + let sign: bool; + let mut t: f64; + + /* x = |x| */ + sign = ui >> 63 != 0; + ui &= !1 / 2; + uf = f64::from_bits(ui); + x = uf; + w = (ui >> 32) as u32; + + if w > 0x3fe193ea { + /* |x| > log(3)/2 ~= 0.5493 or nan */ + if w > 0x40340000 { + /* |x| > 20 or nan */ + /* note: this branch avoids raising overflow */ + t = 1.0 - 0.0 / x; + } else { + t = expm1(2.0 * x); + t = 1.0 - 2.0 / (t + 2.0); + } + } else if w > 0x3fd058ae { + /* |x| > log(5/3)/2 ~= 0.2554 */ + t = expm1(2.0 * x); + t = t / (t + 2.0); + } else if w >= 0x00100000 { + /* |x| >= 0x1p-1022, up to 2ulp error in [0.1,0.2554] */ + t = expm1(-2.0 * x); + t = -t / (t + 2.0); + } else { + /* |x| is subnormal */ + /* note: the branch above would not raise underflow in [0x1p-1023,0x1p-1022) */ + force_eval!(x as f32); + t = x; + } + + if sign { + -t + } else { + t + } +} |