pub fn erfc_precise(x: f64) -> f64Expand description
High-accuracy complementary error function erfc(x) = 1 - erf(x).
Computing 1.0 - erf(x) directly loses precision for large positive x, where
erfc is tiny; this routine keeps full relative accuracy there. That matters for
gelu_exact(x) = 0.5 * x * erfc(-x / sqrt(2)), whose negative tail is exactly
that regime.
ยงExamples
use batuta_common::math::erfc_precise;
assert!((erfc_precise(0.0) - 1.0).abs() < 1e-15);
// erfc stays accurate where 1 - erf(x) would cancel to nothing.
assert!((erfc_precise(3.0) - 2.209_049_699_858_544e-5).abs() < 1e-19);