import { translate } from "flo-vector2d";


/** 
 * Returns a cubic bezier curve that is an approximation of the unit quarter 
 * circle in the first quadrant scaled and then translated.
 * 
 * * see: [Approximate a circle with cubic Bézier curves](https://spencermortensen.com/articles/bezier-circle/)
 * 
 * @doc mdx
 */
function generateQuarterCircle(
        scale: number,
        translation: number[]) {
            
    // `c` can be made slightly more accurate by calculating a more accurate
    // value of 
    // const c = 0.551915024494;
    const c = 0.5519150244935105707435627
    const s = scale;

    return [[0,s], [s*c,s], [s,s*c], [s,0]].map(translate(translation));
}


export { generateQuarterCircle }