import { CubicPath, IconInput, Sampled } from './types';
/** Default angular threshold for a segment joint to count as a corner. */
export declare const CORNER_THRESHOLD: number;
/** Segment boundaries (index of the segment starting at the corner) whose
 *  tangent discontinuity exceeds the threshold. For closed paths this
 *  includes the closing joint (boundary = first active segment). */
export declare function detectCorners(path: CubicPath, threshold?: number): number[];
/** Total arc length of the subpath (per-segment Gauss-Legendre). */
export declare function arcLength(path: CubicPath): number;
/** Samples a cubic subpath at N points equidistant by arc length, anchoring
 *  corners and endpoints as exact samples. Returns Float64Array(2N). Closed
 *  paths distribute N intervals around the loop (without duplicating the
 *  first point); the circular start-point freedom is resolved by the plan's
 *  circular correspondence. */
export declare function resamplePath(path: CubicPath, N?: number, cornerThreshold?: number): Float64Array;
/** Full input pipeline: icon → cubics → sampled subpaths with their
 *  topology (the plan needs to know which subpaths are closed loops). */
export declare function resampleIcon(input: IconInput, N?: number): Sampled[];