Mandelbrot set

You are encouraged to solve this task according to the task description, using any language you may know.


Task

Generate and draw the Mandelbrot set.



Note that there are many algorithms to draw Mandelbrot set and there are many functions which generate it .




extern crate image;
extern crate num_complex;
 
use std::fs::File;
use num_complex::Complex;
 
fn main() {
    let max_iterations = 256u16;
    let img_side = 800u32;
    let cxmin = -2f32;
    let cxmax = 1f32;
    let cymin = -1.5f32;
    let cymax = 1.5f32;
    let scalex = (cxmax - cxmin) / img_side as f32;
    let scaley = (cymax - cymin) / img_side as f32;
 
    // Create a new ImgBuf
    let mut imgbuf = image::ImageBuffer::new(img_side, img_side);
 
    // Calculate for each pixel
    for (x, y, pixel) in imgbuf.enumerate_pixels_mut() {
        let cx = cxmin + x as f32 * scalex;
        let cy = cymin + y as f32 * scaley;
 
        let c = Complex::new(cx, cy);
        let mut z = Complex::new(0f32, 0f32);
 
        let mut i = 0;
        for t in 0..max_iterations {
            if z.norm() > 2.0 {
                break;
            }
            z = z * z + c;
            i = t;
        }
 
        *pixel = image::Luma([i as u8]);
    }
 
    // Save image
    imgbuf.save("fractal.png").unwrap();
}