From 1471a14f1af7237c5e8a10994dfe48d9e9db6aa5 Mon Sep 17 00:00:00 2001 From: "Elf M. Sternberg" Date: Fri, 24 Aug 2018 10:31:23 -0700 Subject: [PATCH] Implemented the Mandelbrot set from Chapter 2 of Programming Rust This implementation features concurrency, a little object-oriented code, and some old-school PNM. --- .gitignore | 11 +++ README.md | 18 ++++ mandelbrot/Cargo.toml | 11 +++ mandelbrot/README.md | 19 ++++ mandelbrot/mandel.png | Bin 0 -> 750016 bytes mandelbrot/src/main.rs | 206 +++++++++++++++++++++++++++++++++++++++++ 6 files changed, 265 insertions(+) create mode 100644 .gitignore create mode 100644 README.md create mode 100644 mandelbrot/Cargo.toml create mode 100644 mandelbrot/README.md create mode 100644 mandelbrot/mandel.png create mode 100644 mandelbrot/src/main.rs diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..cceb92b --- /dev/null +++ b/.gitignore @@ -0,0 +1,11 @@ +target +*# +.#* +*~ +*.orig +*.aux +*.log +*.out +*.pdf +*.bk +*/Cargo.lock diff --git a/README.md b/README.md new file mode 100644 index 0000000..6744dc9 --- /dev/null +++ b/README.md @@ -0,0 +1,18 @@ +# Rust Exercises + +This repository contains a collection of exercises in Rust, mostly taken +from the O'Reilly's +[*Programming Rust*](http://shop.oreilly.com/product/0636920040385.do), +augmented with stretch goals, extensions, and a hint of arrogance. + +## Currently available: + +* Mandlebrot + +Renders a Mandlebrot set + +## ToDo + +* Colorized Mandelbrot +* [Buddhabrot](https://en.wikipedia.org/wiki/Buddhabrot) +* Colorized Buddhabrot diff --git a/mandelbrot/Cargo.toml b/mandelbrot/Cargo.toml new file mode 100644 index 0000000..f1cdcad --- /dev/null +++ b/mandelbrot/Cargo.toml @@ -0,0 +1,11 @@ +[package] +name = "Demo" +version = "0.1.0" +authors = ["elf"] + +[dependencies] +failure = "0.1.1" +failure_derive = "0.1.1" +num = '0.2.0' +image = '0.19.0' +crossbeam = '0.2.8' diff --git a/mandelbrot/README.md b/mandelbrot/README.md new file mode 100644 index 0000000..0da8fa5 --- /dev/null +++ b/mandelbrot/README.md @@ -0,0 +1,19 @@ +# Mandelbrot + +An implementation of the the Mandelbrot set exercise from the end of +chapter two of O'Reilly's +[*Programming Rust*](http://shop.oreilly.com/product/0636920040385.do). + +I have deviated from the original in two ways, one major, one minor. + +First, I've made the rendering plane, which maps from the cartesian +(pixel) plane to the complex plane, into a struct, and put all the major +rendering features into an implementation on that struct. By adding a +simple method, `subplane()`, I was able to make crossbeam rendering much +simpler and easier to read by providing horizontal slices of the pixel +plane, and I was also able to avoid recalculating the relationship +between the two planes for every pixel. A small performance boost, but +worthwhile. + +Second, the output is PNM rather than PNG. 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planes: an integral cartesian plane, +/// and a complex cartesian plane. Used to map points on one to the +/// other. +struct Plane { + bounds: (usize, usize), + upper_left: Complex, + lower_right: Complex, + width: f64, + height: f64 +} + +impl Plane where { + + /// Define a mapping between the coordinates of an integral + /// cartesian plane and a complex cartesian plane. + pub fn new(width: usize, height: usize, ulp: Complex, lrp: Complex) -> Plane { + let bound_width = width as f64; + let bound_height = height as f64; + Plane { + bounds: (width, height), + upper_left: ulp, + lower_right: lrp, + width: (lrp.re - ulp.re) / bound_width, + height: (lrp.im - ulp.im) / bound_height, + } + } + + /// Given the row and column of a pixel on the integral cartesian plane, + /// return an complex number that corresponds to the equivalent location + /// mapped to the complex cartesian plane. + pub fn pixel_to_point(&self, pixel: (usize, usize)) -> Complex { + Complex{ + re: self.upper_left.re + pixel.0 as f64 * self.width, + im: self.upper_left.im + pixel.1 as f64 * self.height + } + } + + pub fn render(&self, pixels: &mut[u8]) { + assert!(pixels.len() == self.bounds.0 * self.bounds.1); + for row in 0..self.bounds.1 { + for column in 0..self.bounds.0 { + let point = self.pixel_to_point((column, row)); + pixels[row * self.bounds.0 + column] = + match escape_time(point, 255) { + None => 0, + Some(count) => 255 - count as u8 + }; + } + } + } + + pub fn subplane(&self, top: usize, height: usize) -> Plane { + let ulc = self.pixel_to_point((0, top)); + let lrc = self.pixel_to_point((self.bounds.0, top + height)); + Plane::new(self.bounds.0, height, ulc, lrc) + } + + pub fn render_concurrent(&self, pixels: &mut[u8], threads: usize) { + let rows_per_band = self.bounds.1 / threads + 1; + { + let bands: Vec<&mut [u8]> = pixels.chunks_mut(rows_per_band * self.bounds.0).collect(); + crossbeam::scope(|spawner| { + for (i, band) in bands.into_iter().enumerate() { + let top = rows_per_band * i; + let height = band.len() / self.bounds.0; + let subplane = self.subplane(top, height); + spawner.spawn(move || { + subplane.render(band) + }); + } + }); + } + } +} + +fn write_image(filename: &str, pixels: &[u8], bounds: (usize, usize)) -> Result<(), std::io::Error> { + let output = File::create(filename)?; + let mut encoder = PNMEncoder::new(output).with_subtype(PNMSubtype::Graymap(SampleEncoding::Binary)); + encoder.encode(pixels, bounds.0 as u32 ,bounds.1 as u32, ColorType::Gray(8))?; + Ok(()) +} + + +pub fn main() { + let args: Vec = std::env::args().collect(); + if args.len() != 5 { + writeln!(std::io::stderr(), "Usage: mandelbrot FILE PIXELS UPPERLEFT LOWERRIGHT").unwrap(); + writeln!(std::io::stderr(), "Exaple: {} mandel.png 1000x750 -1.20,0.35 -1,02.0", args[0]).unwrap(); + std::process::exit(1); + } + + let bounds = parse_pair(&args[2], 'x').expect("Error parsing image dimensions"); + let upper_left = parse_complex(&args[3]).expect("Error parsing upper left hand point"); + let lower_right = parse_complex(&args[4]).expect("Error parsing lower right hand point"); + + let mut pixels = vec![0; bounds.0 * bounds.1]; + let plane = Plane::new(bounds.0, bounds.1, upper_left, lower_right); + + plane.render_concurrent(&mut pixels, 8); + write_image(&args[1], &pixels, bounds).expect("Error writing PNM file"); +} + + +/* +fn pixel_to_point( + pixel: (usize, usize), + bounds: (usize, usize), + upper_left: Complex, + lower_right: Complex) -> Complex +{ + let (width, height) = (lower_right.re - upper_left.re, + lower_right.im - upper_left.im); + Complex { + re: upper_left.re + pixel.0 as f64 * width / bounds.0 as f64, + im: upper_left.im + pixel.1 as f64 * height / bounds.1 as f64 + } +} + */ + + +#[test] +fn test_parse_pair() { + assert_eq!(parse_pair::("", ','), None); + assert_eq!(parse_pair::("10", ','), None); + assert_eq!(parse_pair::(",10", ','), None); + assert_eq!(parse_pair::("10,20xy", ','), None); + assert_eq!(parse_pair::("0.5x", ','), None); + assert_eq!(parse_pair::("10,20", ','), Some((10, 20))); + assert_eq!(parse_pair::("0.5x", ','), None); + assert_eq!(parse_pair::("0.5x1.5", 'x'), Some((0.5, 1.5))); +} + +#[test] +fn test_parse_complex() { + assert_eq!(parse_complex("1.25,-0.0625"), Some(Complex{ re: 1.25, im: -0.0625 })); + assert_eq!(parse_complex(",-0.0625"), None); +} + +/* +#[test] +fn test_pixel_to_point() { + assert_eq!(pixel_to_point((25, 75), (100, 100), + Complex { re: -1.0, im: 1.0 }, + Complex { re: 1.0, im: -1.0 }), Complex { re: -0.5, im: -0.5 }); +} +*/ + +#[test] +fn test_plane() { + let plane = Plane::new(100, 100, Complex{ re: -1.0, im: 1.0 }, Complex{ re: 1.0, im: -1.0 }); + assert_eq!(plane.pixel_to_point((25, 75)), Complex{ re: -0.5, im: -0.5 }); +} +