Help visualizing the Mandelbrot set

p5.js Coding Questions
4

Are you essentially using the algorithm that is presented in pseudocode at Wikipedia: Mandelbrot set: Computer drawings?

The following is my take on that in p5.js:

// algorithm from https://en.wikipedia.org/wiki/Mandelbrot_set#Computer_drawings
function setup() {
  createCanvas(400, 400);
  noLoop();
  background(255);
}
function draw() {
  for (let px = 0; px < width; px += 1) {
    for (let py = 0; py < height; py += 1) {
      let x0 = map(px, 0, width, -2.0, 0.47);
      let y0 = map(py, 0, height, -1.12, 1.12);
      let x = 0.0;
      let y = 0.0;
      let iteration = 0;
      let max_iteration = 255;
      while ((x * x + y * y <= 2 * 2) && (iteration < max_iteration)) {
        let xtemp = x * x - y * y + x0;
        y = 2 * x * y + y0;
        x = xtemp;
        iteration = iteration + 1;
      }
      stroke(iteration);
      point(px, py);
    }
  }
}

Image:

mandelbrot
mandelbrot800×800 55.9 KB

EDIT (March 28, 2022):

Is there a particular section of the Wikipedia article that served as a basis for the criteria used in your check_if_in_mandlebrot_set function? If you provide a link to that section, we can compare it to your function and experiment with it.