use lib::{get_static_file, print_org_file_link};
use lib::plotters::prelude::*;
use std::ops::Range;
fn mandelbrot_set(
real: Range<f64>,
complex: Range<f64>,
samples: (usize, usize),
max_iter: usize,
) -> impl Iterator<Item = (f64, f64, usize)> {
let step = (
(real.end - real.start) / samples.0 as f64,
(complex.end - complex.start) / samples.1 as f64,
);
(0..(samples.0 * samples.1)).map(move |k| {
let c = (
real.start + step.0 * (k % samples.0) as f64,
complex.start + step.1 * (k / samples.0) as f64,
);
let mut z = (0.0, 0.0);
let mut cnt = 0;
while cnt < max_iter && z.0 * z.0 + z.1 * z.1 <= 1e10 {
z = (z.0 * z.0 - z.1 * z.1 + c.0, 2.0 * z.0 * z.1 + c.1);
cnt += 1;
}
(c.0, c.1, cnt)
})
}
fn main() -> Result<(), Box<dyn std::error::Error>> {
let out_file = get_static_file("rust/mandelbrot.png")?;
let root = BitMapBackend::new(&out_file, (800, 600)).into_drawing_area();
root.fill(&WHITE)?;
let mut chart = ChartBuilder::on(&root)
.margin(20)
.x_label_area_size(10)
.y_label_area_size(10)
.build_cartesian_2d(-2.1f64..0.6f64, -1.2f64..1.2f64)?;
chart
.configure_mesh()
.disable_x_mesh()
.disable_y_mesh()
.draw()?;
let plotting_area = chart.plotting_area();
let range = plotting_area.get_pixel_range();
let (pw, ph) = (range.0.end - range.0.start, range.1.end - range.1.start);
let (xr, yr) = (chart.x_range(), chart.y_range());
for (x, y, c) in mandelbrot_set(xr, yr, (pw as usize, ph as usize), 100) {
if c != 100 {
plotting_area.draw_pixel((x, y), &ViridisRGBA::get_color(c as f64 / 100.0 ))?;
} else {
plotting_area.draw_pixel((x, y), &BLACK)?;
}
}
root.present().expect("Unable to write result to file");
print_org_file_link(&out_file);
Ok(())
}
use lib::{get_static_file, print_org_file_link};
use lib::plotters::prelude::*;
fn swirl_effect(point: (f64, f64), factor: f64) -> (f64, f64) {
let angle = (point.0.powi(2) + point.1.powi(2)).sqrt() * factor;
let cos_a = angle.cos();
let sin_a = angle.sin();
(
point.0 * cos_a - point.1 * sin_a,
point.0 * sin_a + point.1 * cos_a,
)
}
fn snowflake_iter(points: &[(f64, f64)]) -> Vec<(f64, f64)> {
let mut ret = vec![];
for i in 0..points.len() {
let (start, end) = (points[i], points[(i + 1) % points.len()]);
let t = ((end.0 - start.0) / 3.0, (end.1 - start.1) / 3.0);
let s = (
t.0 * 0.5 - t.1 * (0.75f64).sqrt(),
t.1 * 0.5 + (0.75f64).sqrt() * t.0,
);
ret.push(start);
ret.push((start.0 + t.0, start.1 + t.1));
ret.push((start.0 + t.0 + s.0, start.1 + t.1 + s.1));
ret.push((start.0 + t.0 * 2.0, start.1 + t.1 * 2.0));
}
ret
}
fn mirror_and_cut(points: Vec<(f64, f64)>) -> Vec<(f64, f64)> {
let mut left_side = vec![];
for &(x, y) in &points {
if x <= 0.0 {
left_side.push((x, y));
}
}
let mut mirrored = left_side.clone();
for &(x, y) in &left_side {
mirrored.push((-x, y));
}
mirrored
}
fn main() -> Result<(), Box<dyn std::error::Error>> {
let out_file = get_static_file("rust/swirling_snowflake.png")?;
let MAX_ITER = 5;
let SWIRL_FACTOR = 2.0;
let root = BitMapBackend::new(&out_file, (1024, 768)).into_drawing_area();
root.fill(&WHITE)?;
let mut chart = ChartBuilder::on(&root)
.caption("Swirling Snowflake - Mirrored", ("sans-serif", 50))
.build_cartesian_2d(-1.5..1.5, -1.2..1.2)?;
let mut snowflake_vertices = {
let mut current: Vec<(f64, f64)> = vec![
(0.0, 1.0),
((3.0f64).sqrt() / 2.0, -0.5),
(-(3.0f64).sqrt() / 2.0, -0.5),
];
for _ in 0..MAX_ITER {
current = snowflake_iter(¤t[..]);
}
current
};
snowflake_vertices = snowflake_vertices
.into_iter()
.map(|point| swirl_effect(point, SWIRL_FACTOR))
.collect();
snowflake_vertices = mirror_and_cut(snowflake_vertices);
chart.draw_series(std::iter::once(Polygon::new(
snowflake_vertices.clone(),
RED.mix(0.5),
)))?;
root.present().expect("Unable to write file");
print_org_file_link(&out_file)?;
Ok(())
}