import { brent } from "flo-poly";
import { length } from "../global-properties/length/length.js";


/**
 * Returns the `t` parameter value where the given bezier curve reaches the 
 * given length `s` starting from `t = 0` and clipping at `t = 1.125`. 
 * 
 * @param ps an order 0,1,2 or 3 bezier curve given by an ordered array of its
 * control points, e.g. `[[0,0],[1,1],[2,1],[2,0]]`
 * @param s the length
 * 
 * @doc mdx
 */
function getTAtLength(
		ps: number[][], 
		s: number) {

	if (s === 0) { return 0; }

	const lenAtT = (t: number) => length([0,t], ps); 

	return brent(t => (lenAtT(t) - s), 0, 1.125);
}


export { getTAtLength }