mandelbrot-rust
An 'embarrassingly parallel algorithm' takin advantage of Rust's thread-safe design.
Definition
The Mandelbrot set is defined as the set of complex numbers c for which z does not fly out to infinity.
// given a complex number c
// loop on z to find the mandelbrot set
fn mandelbrot(c: Complex<f64>) {
// Complex represents complex numbers on the cartesian plane
// re: real numbers
// im: imaginary numbers
let mut z: Complex<f64> = Complex {re: 0.0, im: 0.0}
loop {
z = z * z + c;
}
}Note that values of c > 0.25 && < -2.0 cause z to loop towards infinity.
A complex number, c, as we defined above, has both real and imaginary values. If we take the real as the x coordinate, and the imaginary as the y coordinate (and if we color the point black if c is in the mandelbrot set, or a lighter color otherwise), we get the visually striking mandelbrot set diagram.