import { CubicPath } from './types';
/** Sampled subpaths → polyline `d` attribute. `closed[k]` appends Z to
 *  subpath k (closed loops in flight); without flags everything is open. */
export declare function serialize(subs: readonly Float64Array[], closed?: readonly boolean[]): string;
/** Cubic subpaths → canonical `d`, quantized to 4 decimals (engine-stable
 *  bytes; see fmtCanon). */
export declare function cubicsToPathD(paths: readonly CubicPath[]): string;