import { lengthBez1 } from './length-bez1.js';
import { lengthBez2 } from './length-bez2.js';
import { lengthBez3 } from './length-bez3.js';


/**
 * Returns the curve (a linear, quadratic or cubic bezier curve) length in the
 * specified interval calculated using Gaussian Quadrature *with* adaptive 
 * subdivision for improved accuracy.
 * 
 * @param ps an order 0,1,2 or 3 bezier curve given as an array of its control
 * points, e.g. `[[1,2],[3,4],[5,6],[7,8]]`
 * @param maxCurviness optional maximum 'curviness' (defined as the total angle
 * change between consecutive line segments between the curve control points)
 * before subdivision occurs; defaults to 0.4 radians
 * @param gaussOrder the optional order of the Gaussian Quadrature performed 
 * between curve segments; defaults to 16; can be 4,16 or 64
 * 
 * @doc mdx
 */
 function totalLength(
	 	ps: number[][],
		maxCurviness = 0.4,
		gaussOrder: 4|16|64 = 16): number {

	if (ps.length === 4) {
		return lengthBez3([0,1], ps, maxCurviness, gaussOrder);
	}

	if (ps.length === 3) {
		return lengthBez2([0,1], ps, maxCurviness, gaussOrder);
	}

    if (ps.length === 2) {
		return lengthBez1([0,1], ps);
	}

	if (ps.length === 1) {
		return 0;
	}

	throw new Error('The given bezier curve must be of order <= 3.');
}


export { totalLength }