import type { Vec2 } from "../types/point";
/**
 * Evaluate a quadratic bezier at t.
 */
export declare const quadraticBezier: (t: number, p1x: number, p1y: number, ptx: number, pty: number, p2x: number, p2y: number) => Vec2;
/**
 * Approximate quadratic bezier arc length.
 *
 * Supports partial curve evaluation via maxT.
 */
export declare const getQuadraticBezierDistance: (p1x: number, p1y: number, ptx: number, pty: number, p2x: number, p2y: number, numSegments?: number, maxT?: number) => number;
/**
 * Generate approximately equidistant points along a quadratic bezier.
 *
 * Uses fixed segment traversal instead of unstable incremental t stepping.
 */
export declare const getEquidistantBezierPoints: (p1x: number, p1y: number, ptx: number, pty: number, p2x: number, p2y: number, space: number, segments?: number) => Vec2[];
/**
 * Get single smooth control point.
 */
export declare const getControlPoint: (p1x: number, p1y: number, p2x: number, p2y: number, p3x: number, p3y: number, ratio?: number) => Vec2;
/**
 * Get both control points.
 */
export declare const getAllControlPoint: (p1x: number, p1y: number, p2x: number, p2y: number, p3x: number, p3y: number, ratio?: number) => [Vec2, Vec2];
/**
 * Find t value corresponding to target arc length.
 *
 * Uses binary search on partial arc length.
 */
export declare const findTForLength: (p1x: number, p1y: number, ptx: number, pty: number, p2x: number, p2y: number, targetLength: number, tolerance?: number, segments?: number) => number;
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