Fixed mandelbrot
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@@ -3,7 +3,7 @@
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use core::{
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arch::asm,
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ops::{Add, Mul},
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ops::{Add, Mul, Sub},
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};
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use fpga_lib::{
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@@ -18,11 +18,72 @@ pub const ITERATIONS: usize = 100;
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pub const ASPECT_RATIO: f32 = WIDTH as f32 / HEIGHT as f32;
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#[derive(Clone, Copy)]
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struct Complex(Float, Float);
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struct Complex(Q3x29, Q3x29);
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#[derive(Clone, Copy)]
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struct Q3x29(i32);
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impl From<f32> for Q3x29
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{
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fn from(x: f32) -> Q3x29
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{
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const SCALE: f32 = 16.0;
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const MAX_Q28_4: f32 = (u32::MAX as f32) / SCALE;
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let clamped = x.clamp(0.0, MAX_Q28_4);
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let scaled = clamped * SCALE;
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Q3x29(scaled as i32)
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}
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}
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impl From<f64> for Q3x29
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{
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fn from(x: f64) -> Q3x29
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{
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const SCALE: f64 = 16.0;
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const MAX_Q28_4: f64 = (u32::MAX as f64) / SCALE;
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let clamped = x.clamp(0.0, MAX_Q28_4);
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let scaled = clamped * SCALE;
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Q3x29(scaled as i32)
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}
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}
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impl Add for Q3x29
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{
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type Output = Q3x29;
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fn add(self, rhs: Self) -> Self::Output
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{
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Q3x29(self.0 + rhs.0)
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}
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}
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impl Sub for Q3x29
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{
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type Output = Q3x29;
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fn sub(self, rhs: Self) -> Self::Output
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{
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Q3x29(self.0 - rhs.0)
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}
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}
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impl Mul for Q3x29
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{
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type Output = Q3x29;
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fn mul(self, rhs: Self) -> Self::Output
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{
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let prod: i64 = self.0 as i64 * rhs.0 as i64;
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Q3x29(((prod >> 28) & 0xFFFFFFFF) as i32)
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}
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}
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impl Complex
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{
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pub fn sq_mag(&self) -> Float
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pub fn sq_mag(&self) -> Q3x29
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{
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self.0 * self.0 + self.1 * self.1
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}
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@@ -63,47 +124,40 @@ pub extern "C" fn main() -> !
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for i in 0..(ITERATIONS - 1)
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{
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let val = ((i as Float / ITERATIONS as Float) * 255.) as u8;
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tab[i] = Color::from_rgb(val, val, val);
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//tab[i] = Color::from_rgb(val, val, val);
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tab[i] = Color(val);
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}
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tab
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};
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let width = 2.;
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let zoom_int = 1;
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let zoom = Q3x29::from(1. / zoom_int as f32);
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for x in 0..WIDTH
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{
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for y in 0..HEIGHT
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{
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// -0.761574,-0.0847596)
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let pos = Complex(
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map(
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x as Float,
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0.,
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WIDTH as Float,
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-width * ASPECT_RATIO * 0.5,
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width * ASPECT_RATIO * 0.5,
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) - 0.5,
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map(y as Float, 0., HEIGHT as Float, -width * 0.5, width * 0.5),
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Q3x29((x as i32 - WIDTH as i32 / 2) * (0x1FFFFFFF / WIDTH as i32)) * zoom
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- Q3x29::from(0.761574),
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Q3x29((y as i32 - HEIGHT as i32 / 2) * (0x1FFFFFFF / WIDTH as i32)) * zoom
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- Q3x29::from(0.0847596),
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);
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let mut acc = pos;
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let mut iter = 0;
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// Optimisations
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let p = ((pos.0 - 0.25) * (pos.0 - 0.25)) + pos.1 * pos.1;
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if (pos.0 < libm::sqrtf(p) - 2. * p + 0.25)
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|| (pos.0 + 1.) * (pos.0 + 1.) + pos.1 * pos.1 < 1. / 16.
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for i in 0..ITERATIONS
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{
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iter = ITERATIONS - 1;
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}
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else
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{
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for i in 0..ITERATIONS
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//acc = acc * acc + pos;
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acc = Complex(
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pos.0 + acc.0 * acc.0 - acc.1 * acc.1,
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pos.1 + Q3x29::from(2.) * acc.1 * acc.0,
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);
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if acc.sq_mag().0 > Q3x29::from(3.8).0
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{
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acc = acc * acc + pos;
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if acc.sq_mag() > 1.
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{
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iter = i;
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break;
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}
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iter = i;
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break;
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}
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}
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