| 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 | |