remove trig.rs (no longer used)
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@@ -2,6 +2,5 @@ mod blur;
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mod grid;
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pub mod model;
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mod palette;
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pub mod trig; // for benchmarking
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mod util;
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mod imgdata; // for storing image data
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55
src/trig.rs
55
src/trig.rs
@@ -1,55 +0,0 @@
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/// From https://bits.stephan-brumme.com/absFloat.html
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#[inline(always)]
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fn abs(x: f32) -> f32 {
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f32::from_bits(x.to_bits() & 0x7FFF_FFFF)
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}
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/// Branchless floor implementation
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#[inline(always)]
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fn floor(x: f32) -> f32 {
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let mut x_trunc = (x as i32) as f32;
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x_trunc -= (x < x_trunc) as i32 as f32;
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x_trunc
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}
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/// Approximates `cos(x)` in radians with the maximum error of `0.002`
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/// https://stackoverflow.com/posts/28050328/revisions
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pub fn cos(mut x: f32) -> f32 {
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const ALPHA: f32 = 0.5 * std::f32::consts::FRAC_1_PI;
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x *= ALPHA;
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x -= 0.25_f32 + floor(x + 0.25_f32);
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x *= 16.0_f32 * (abs(x) - 0.5_f32);
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x += 0.225_f32 * x * (abs(x) - 1.0_f32);
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x
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}
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/// Approximates `sin(x)` in radians with the maximum error of `0.002`
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pub fn sin(x: f32) -> f32 {
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cos(x - std::f32::consts::FRAC_PI_2)
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}
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#[cfg(test)]
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mod tests {
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use super::*;
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use itertools::repeat_n;
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#[test]
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fn test_cos() {
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let n_points = 1000;
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let x: Vec<f32> = repeat_n(std::f32::consts::TAU / (n_points - 1) as f32, n_points)
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.enumerate()
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.map(|(i, delta)| i as f32 * delta)
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.collect();
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let exact: Vec<f32> = x.iter().map(|v| v.cos()).collect();
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let appr: Vec<f32> = x.iter().map(|v| cos(*v)).collect();
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let mut max_error = 0.0_f32;
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for (y_exact, y_appr) in exact.iter().zip(&appr) {
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max_error = (y_exact - y_appr).abs().max(max_error);
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}
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// The error bound is even better!
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assert!(max_error <= 0.0011);
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}
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}
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