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mandelbrot set with smoothing
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| <!-- original: https://jsfiddle.net/poetix/KtCnB/ --> | |
| <!-- testing hypothesis for generating: https://twitter.com/matthen2/status/1498717789233758222 --> | |
| <!DOCTYPE html> | |
| <html> | |
| <head> | |
| </head> | |
| <body> | |
| <canvas width="500px" height="500px" id="canvas"></canvas> | |
| <input type="range" id="iterations" name="iterations" min="0" max="100" value="50" step="1"> | |
| <script src="https://ajax.googleapis.com/ajax/libs/jquery/3.5.1/jquery.min.js"></script> | |
| <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjs/10.3.0/math.js" type="text/javascript"></script> | |
| <script> | |
| function iterate(cr, ci, maxIter, slider) { | |
| var smooth = slider / 100 | |
| var c = math.complex(cr, ci) | |
| var z = math.complex(0, 0) | |
| var iter = 0 | |
| while (iter < maxIter && z.abs() < 4.0) { | |
| z = math.add(math.pow(z, 1 + 1 * smooth), c) | |
| iter += 1 | |
| } | |
| return iter | |
| } | |
| function plotMandelbrot(slider) { | |
| return (x, y, data, ptr) => { | |
| value = iterate(x, y, 20, slider) | |
| data[ptr++] = 128 + (128 * Math.sin(value * Math.PI / 10)) | |
| data[ptr++] = 128 + (128 * Math.cos(value * Math.PI / 11)) | |
| data[ptr++] = 128 + (128 * Math.cos(value * Math.PI / 13)) | |
| data[ptr] = 255 | |
| } | |
| } | |
| function plotRow(minx, maxx, y, width, data, plotPoint) { | |
| var dx = (maxx - minx) / width, | |
| x = minx, | |
| px, | |
| ptr = 0 | |
| for (px = 0; px < width; px += 1) { | |
| plotPoint(x, y, data, ptr) | |
| ptr += 4 | |
| x += dx | |
| } | |
| } | |
| function plotGraph(minx, maxx, miny, maxy, width, height, plotPoint, ctx, slider) { | |
| var y = miny, | |
| dy = (maxy - miny) / height, | |
| py, | |
| imageData | |
| for (py = 0; py < height; py += 1) { | |
| imageData = ctx.createImageData(width, 1) | |
| plotRow(minx, maxx, y, width, imageData.data, plotPoint(slider)) | |
| ctx.putImageData(imageData, 0, py) | |
| y += dy | |
| } | |
| } | |
| var slider = $("#iterations") | |
| var plot = function() { | |
| plotGraph(-2.0, 0.5, -1.25, 1.25, 500, 500, plotMandelbrot, $('#canvas')[0].getContext('2d'), parseInt(slider[0].value)) | |
| } | |
| $(document).ready(function() { | |
| slider.change(plot) | |
| plot() | |
| }) | |
| </script> | |
| </body> | |
| </html> |
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