1 | //! arcsin approximation for a single-precision float. |
2 | //! |
3 | //! Method described at: |
4 | //! <https://dsp.stackexchange.com/questions/25770/looking-for-an-arcsin-algorithm> |
5 | |
6 | use super::F32; |
7 | |
8 | impl F32 { |
9 | /// Computes `asin(x)` approximation in radians in the range `[-pi/2, pi/2]`. |
10 | pub fn asin(self) -> Self { |
11 | (self * (Self::ONE - self * self).invsqrt()).atan() |
12 | } |
13 | } |
14 | |
15 | #[cfg (test)] |
16 | mod tests { |
17 | use super::F32; |
18 | use core::f32::consts::FRAC_PI_2; |
19 | |
20 | #[test ] |
21 | fn sanity_check() { |
22 | let difference = F32(FRAC_PI_2).sin().asin() - FRAC_PI_2; |
23 | assert!(difference.abs() <= F32::EPSILON); |
24 | } |
25 | } |
26 | |