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= "4.5.40", features = ["derive"] } \ No newline at end of file diff --git a/src/main.rs b/src/main.rs new file mode 100644 index 0000000..bfcfc49 --- /dev/null +++ b/src/main.rs @@ -0,0 +1,111 @@ +//#![feature(portable_simd)] + +use std::path::PathBuf; +use clap::{Arg, Parser}; +use image::{GrayImage, ImageBuffer, Luma}; +use image::buffer::ConvertBuffer; +use rayon::iter::ParallelIterator; + +mod transform; + +#[derive(Parser)] +pub struct Args { + #[clap(short, long, default_value_t = 3840)] + pub width: u32, + #[clap(short, long, default_value_t = 2160)] + pub height: u32, + + #[clap(short, long, default_value_t = 100)] + pub maxiter: usize, + + #[clap(short, long, default_value="out.png")] + pub output: PathBuf, + + pub transform: Vec +} + +type Float = f32; +type Point = Complex; +use num::complex::Complex; +pub type Transform = [(Point, Point); 3]; + +trait ComplexExt { + fn norm2(self) -> T; +} + +impl ComplexExt for Complex { + fn norm2(self) -> Float { + self.im * self.im + self.re * self.re + } +} + +fn transform_point(transform: &Transform, point: Point) -> (Point, Point) { + let start = transform[0].0 * point.re + transform[1].0 * point.im + transform[2].0; + let delta = transform[0].1 * point.re + transform[1].1 * point.im + transform[2].1; + (start, delta) +} + +pub struct Config { + pub transform: Transform, + pub width: u32, + pub height: u32, + pub maxiter: usize, + // We represent escape as the square of its magnitude +} + + + +impl Config { + fn render_point(&self, (base, delta): (Point, Point)) -> f32 { + const ESCAPE: Float = 2.; + const ESCAPE2: Float = ESCAPE * ESCAPE; + + let mut base = base; + let result = + std::iter::successors(Some(base), |i| Some(*i * *i + delta)) + .take(self.maxiter) + .enumerate() + .skip_while(|(_, i)| i.norm2() <= ESCAPE2) + .next() + .map_or(0., + |(iter, val)| + iter as Float + 1. - val.norm().ln().ln() / ESCAPE.ln() + ); + result as f32 + } +} + +fn main() -> anyhow::Result<()> { + + // let transform = [ + // (Point::new(0., 0.), Point::new(1., 0.)), + // (Point::new(0., 0.), Point::new(0., 1.)), + // (Point::new(0., 0.), Point::new(0., 0.)), + // ]; + + let args = ::parse(); + + let config = Config { + transform: transform::parse_transforms(args.transform.iter())?, + width: args.width, + height: args.height, + maxiter: args.maxiter, + }; + + let scale = 2.0 / std::cmp::min(config.width, config.height) as Float; + + let mut img = ImageBuffer::, _>::from_par_fn(config.width, config.height, |x, y| { + let x = (x as Float) * scale - 1.; + let y = (y as Float) * scale - 1.; + let point = transform_point(&config.transform, Complex::new(x, y)); + image::Luma([config.render_point(point)]) + }); + let img_norm = img.pixels() + .map(|p: &Luma| p.0[0]) + .reduce(f32::max) + .unwrap_or(1.); + img.par_pixels_mut().for_each(|Luma([p])| *p /= img_norm); + let img: GrayImage = img.convert(); + img.save(&args.output)?; + Ok(()) +} diff --git a/src/transform.rs b/src/transform.rs new file mode 100644 index 0000000..3314557 --- /dev/null +++ b/src/transform.rs @@ -0,0 +1,124 @@ +use std::cmp::{max, min}; +use num::Num; +use super::Float; +type MTransform = nalgebra::Matrix5; + +#[derive(Debug)] +enum Type { + Rotation(u8, u8), + Translation(u8), + CoordSwap(u8, u8), +} + +fn parse_axis(c: char) -> Option { + Some(match c { + 'x' => 0, + 'y' => 1, + 'X' => 2, + 'Y' => 3, + _ => return None, + }) +} + +/// We take a type and distance. +/// We have four axes, x,y,X,Y. The first two adjust the base point; the second two adjust the delta. +/// +/// Given that, a plane can be defined with two axes, and a translation can be defined with one. +pub fn parse_step(s: &str) -> Option { + if s.len() < 2 { + return None; + } + let mut chars = s.chars(); + let axis0 = chars.next().and_then(parse_axis)?; + let chars0 = chars.clone(); + let ttyp = if let Some(c) = chars.next().and_then(parse_axis) { + if c == axis0 { + return None; + } + Type::Rotation(min(axis0, c), max(axis0, c)) + } else { + chars = chars0.clone(); + if chars.next() == Some('=') { + let axis1 = chars.next().and_then(parse_axis)?; + eprintln!("Transform: coord swap {axis0} {axis1}"); + if chars.next().is_some() { + return None; + } + let mut mat = nalgebra::Matrix5::identity(); + mat[(axis0 as usize, axis0 as usize)] = 0.0; + mat[(axis1 as usize, axis1 as usize)] = 0.0; + mat[(axis0 as usize, axis1 as usize)] = 1.0; + mat[(axis1 as usize, axis0 as usize)] = 1.0; + return Some(mat); + } + chars = chars0; + + + Type::Translation(axis0) + }; + + // take what's left + let s = chars.as_str(); + let delta = f32::from_str_radix(chars.as_str().trim(), 10).ok()?; + + eprintln!("Transform: {:?} {}", ttyp, delta); + + match ttyp { + Type::Rotation(a, b) => { + let (a0, a1) = match (a,b) { + (0,1) => (2,3), + (0,2) => (1,3), + (0,3) => (1,2), + (1,2) => (0,3), + (1,3) => (0,2), + (2,3) => (0,1), + _ => unreachable!("Invalid rotation axes"), + }; + let delta = delta.to_radians(); + let s = delta.sin(); + let c = delta.cos(); + let mut m = nalgebra::Matrix5::identity(); + m[(a0,a0)] = c; + m[(a0,a1)] = -s; + m[(a1,a0)] = s; + m[(a1,a1)] = c; + Some(m) + } + Type::Translation(a) => { + let mut m = nalgebra::Matrix5::identity(); + m[(4, a as usize)] = -delta; + Some(m) + } + Type::CoordSwap(a, b) => { + unreachable!() + } + } +} + +pub fn parse_transforms<'a>(transforms: impl Iterator>) ->anyhow::Result { + use super::Point; + let mat = transforms + .map(|s| parse_step(s.as_ref()) + .ok_or_else(|| anyhow::anyhow!("Invalid step: {:?}", s.as_ref()))) + .try_fold(nalgebra::Matrix5::identity(), + |acc, new| new.map(|new| acc * new))?; + + let bx = Point::new(mat[(0,0)], mat[(0,1)]); + let by = Point::new(mat[(1,0)], mat[(1,1)]); + let bd = Point::new(mat[(4,0)], mat[(4,1)]); + + let cx = Point::new(mat[(0,2)], mat[(0,3)]); + let cy = Point::new(mat[(1,2)], mat[(1,3)]); + let cd = Point::new(mat[(4,2)], mat[(4,3)]); + + Ok([ + (bx, cx), + (by, cy), + (bd, cd), + ]) + +} + +pub fn parse_transform(s: &str) -> anyhow::Result { + parse_transforms(s.split_whitespace()) +} \ No newline at end of file