import { Position } from '../../types/core';
/**
 * Evaluate cubic bezier point at parameter t
 * @param p0 Start point
 * @param p1 First control point
 * @param p2 Second control point
 * @param p3 End point
 * @param t Parameter (0 to 1)
 */
export declare const cubicBezierPoint: (p0: Position, p1: Position, p2: Position, p3: Position, t: number) => Position;
/**
 * Evaluate cubic bezier tangent (first derivative) at parameter t
 * @param p0 Start point
 * @param p1 First control point
 * @param p2 Second control point
 * @param p3 End point
 * @param t Parameter (0 to 1)
 */
export declare const cubicBezierTangent: (p0: Position, p1: Position, p2: Position, p3: Position, t: number) => Position;
/**
 * Calculate the length of a cubic bezier curve (approximation using subdivision)
 */
export declare const cubicBezierLength: (p0: Position, p1: Position, p2: Position, p3: Position, segments?: number) => number;