This project is part of the @thi.ng/umbrella monorepo.
Array-based complex number algebra.
ALPHA - bleeding edge / work-in-progress
Search or submit any issues for this package
yarn add @thi.ng/complexES module import:
<script type="module" src="https://cdn.skypack.dev/@thi.ng/complex"></script>For Node.js REPL:
const complex = await import("@thi.ng/complex");Package sizes (brotli'd, pre-treeshake): ESM: 1017 bytes
ASCII art mandelbrot fractal using complex number math
import { abs, add, Complex, mul } from "@thi.ng/complex";
import { canvas, formatCanvas, SHADES_ASCII_16 } from "@thi.ng/text-canvas";
import { map, range2d, run } from "@thi.ng/transducers";
import { fit2 } from "@thi.ng/vectors";
// mandelbrot evaluation
const mandelbrot = (pos: Complex, escapeRadius: number, maxIter: number) => {
let i = 0;
let z: Complex = pos;
while (++i < maxIter && abs(z) < escapeRadius) {
z = add(mul(z, z), pos);
}
return maxIter - i;
};
// text canvas setup
const canv = canvas(120, 60);
const maxSize: [number, number] = [canv.width, canv.height];
// evaluate for all pixels and visualize as ASCII art
run(
map((p) => {
canv.setAt(
p[0],
p[1],
SHADES_ASCII_16[
mandelbrot(
// map pixel pos to mandelbrot region
fit2([], p, [0, 0], maxSize, [-2, -1.25], [0.65, 1.25]),
2000,
15
)
]
);
}),
range2d(...maxSize)
);
// output canvas as string
console.log(formatCanvas(canv));33333333333333333333333333333333333llllllllllllllllllllllllllllllllllllllllliiiiiiiiiiiiiilllllllllllllllllllllllllll333
3333333333333333333333333333333llllllllllllllllllllllllllllllllllllllllliiiiiiiiiiiiiiiiiiiiiilllllllllllllllllllllllll3
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If this project contributes to an academic publication, please cite it as:
@misc{thing-complex,
title = "@thi.ng/complex",
author = "Karsten Schmidt",
note = "https://thi.ng/complex",
year = 2022
}© 2022 - 2023 Karsten Schmidt // Apache License 2.0