/** @internal */
export declare const hypot: (x: number, y: number) => number;
/**
 * Calculates a new vector with the same angle and a new magnitude.
 * @internal
 */
export declare function normalize([x, y]: [number, number], magnitude?: number): [number, number];
/** @internal */
export declare function quadraticBezier(p1: number, p2: number, p3: number, t: number): number;
/**
 * Returns d/dt(quadraticBezier)
 * @internal
 */
export declare function quadraticBezierDeriv(p1: number, p2: number, p3: number, t: number): number;
/** @internal */
export declare function cubicBezier(p1: number, p2: number, p3: number, p4: number, t: number): number;
/**
 * Returns d/dt(cubicBezier)
 * @internal
 */
export declare function cubicBezierDeriv(p1: number, p2: number, p3: number, p4: number, t: number): number;
/**
 * Finds the minimum of a function using ternary search.
 * @internal
 */
export declare function ternarySearchMin(func: (x: number) => number, left: number, right: number, eps?: number): number;
/**
 * Finds the maximum of a function using ternary search.
 * @internal
 */
export declare function ternarySearchMax(func: (x: number) => number, left: number, right: number, eps?: number): number;
/** @internal */
export declare function round(v: number, rate?: number): number;