import type { MultiFn2O } from "@thi.ng/defmulti";
import type { IShape, IShape2, IShape3, SubdivKernel } from "./api.js";
import type { Arc } from "./api/arc.js";
import type { Circle } from "./api/circle.js";
import { ComplexPolygon } from "./api/complex-polygon.js";
import type { Ellipse } from "./api/ellipse.js";
import { Group } from "./api/group.js";
import { Group3 } from "./api/group3.js";
import type { Line } from "./api/line.js";
import type { Line3 } from "./api/line3.js";
import { Polygon } from "./api/polygon.js";
import { Polygon3 } from "./api/polygon3.js";
import { Polyline } from "./api/polyline.js";
import { Polyline3 } from "./api/polyline3.js";
import type { Quad } from "./api/quad.js";
import type { Quad3 } from "./api/quad3.js";
import type { Rect } from "./api/rect.js";
import type { Triangle } from "./api/triangle.js";
import type { Triangle3 } from "./api/triangle3.js";
/**
 * Function overrides for {@link subdivCurve}.
 */
export type SubdivCurveFn = {
    (shape: Arc, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polyline;
    (shape: Circle, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polygon;
    (shape: Ellipse, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polygon;
    (shape: ComplexPolygon, kernel: SubdivKernel | SubdivKernel[], iter?: number): ComplexPolygon;
    (shape: Group, kernel: SubdivKernel | SubdivKernel[], iter?: number): Group;
    (shape: Group3, kernel: SubdivKernel | SubdivKernel[], iter?: number): Group3;
    (shape: Line, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polyline;
    (shape: Line3, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polyline3;
    (shape: Polygon, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polygon;
    (shape: Polyline, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polyline;
    (shape: Polyline3, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polyline3;
    (shape: Quad, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polygon;
    (shape: Quad3, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polygon3;
    (shape: Rect, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polygon;
    (shape: Triangle, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polygon;
    (shape: Triangle3, kernel: SubdivKernel | SubdivKernel[], iter?: number): Polygon3;
    (shape: IShape2, kernel: SubdivKernel | SubdivKernel[], iter?: number): IShape2;
    (shape: IShape3, kernel: SubdivKernel | SubdivKernel[], iter?: number): IShape3;
} & MultiFn2O<IShape, SubdivKernel | SubdivKernel[], number, IShape>;
/**
 * Iteratively applies
 * [`SubdivKernel`](https://docs.thi.ng/umbrella/geom-subdiv-curve/interfaces/SubdivKernel.html)
 * (or array of kernels) to given shape. See
 * [thi.ng/geom-subdiv-curve](https://thi.ng/thi.ng/geom-subdiv-curve) package
 * for further details and description of available subdivision presets.
 *
 * @remarks
 * If only given a single subdivision kernel, a number of iterations can be
 * specified (by default only a single iteration is applied).
 *
 * The following subdivision algorithms are provided:
 *
 * - {@link SUBDIV_CHAIKIN}
 * - {@link SUBDIV_CUBIC}
 * - {@link SUBDIV_DISPLACE} (2D only, higher order kernel)
 * - {@link SUBDIV_DLG}
 * - {@link SUBDIV_MID}
 * - {@link SUBDIV_THIRDS}
 *
 * Currently implemented for:
 *
 * - {@link Arc}
 * - {@link Circle}
 * - {@link ComplexPolygon}
 * - {@link Ellipse}
 * - {@link Group} (if it only contains supported shapes)
 * - {@link Group3} (if it only contains supported shapes)
 * - {@link Line}
 * - {@link Line3}
 * - {@link Polygon}
 * - {@link Polygon3}
 * - {@link Polyline}
 * - {@link Polyline3}
 * - {@link Quad}
 * - {@link Quad3}
 * - {@link Rect}
 * - {@link Triangle}
 * - {@link Triangle3}
 *
 * @example
 * ```ts tangle:../export/subdiv-curve.ts
 * import { asSvg, rect, subdivCurve, SUBDIV_CHAIKIN_CLOSED } from "@thi.ng/geom";
 *
 * console.log(
 *   asSvg(subdivCurve(rect(100), SUBDIV_CHAIKIN_CLOSED))
 * );
 * // <polygon points="0,25 25,0 75,0 100,25 100,75 75,100 25,100 0,75"/>
 * ```
 *
 * @param shape
 * @param kernel
 * @param iter
 */
export declare const subdivCurve: SubdivCurveFn;
/**
 * Re-export of thi.ng/geom-subdiv-curve
 * [`SUBDIV_MID`](https://docs.thi.ng/umbrella/geom-subdiv-curve/variables/SUBDIV_MID.html)
 */
export declare const SUBDIV_MID: import("@thi.ng/geom-subdiv-curve").SubdivKernel;
/**
 * Re-export of thi.ng/geom-subdiv-curve
 * [`SUBDIV_THIRDS`](https://docs.thi.ng/umbrella/geom-subdiv-curve/variables/SUBDIV_THIRDS.html)
 */
export declare const SUBDIV_THIRDS: import("@thi.ng/geom-subdiv-curve").SubdivKernel;
/**
 * Re-export of thi.ng/geom-subdiv-curve
 * [`SUBDIV_CHAIKIN`](https://docs.thi.ng/umbrella/geom-subdiv-curve/variables/SUBDIV_CHAIKIN.html)
 */
export declare const SUBDIV_CHAIKIN: import("@thi.ng/geom-subdiv-curve").SubdivKernel;
/**
 * Re-export of thi.ng/geom-subdiv-curve
 * [`SUBDIV_CUBIC`](https://docs.thi.ng/umbrella/geom-subdiv-curve/variables/SUBDIV_CUBIC.html)
 */
export declare const SUBDIV_CUBIC: import("@thi.ng/geom-subdiv-curve").SubdivKernel;
/**
 * Higher-order subdiv kernel. Re-export of thi.ng/geom-subdiv-curve
 * [`SUBDIV_DISPLACE`](https://docs.thi.ng/umbrella/geom-subdiv-curve/variables/SUBDIV_DISPLACE.html)
 */
export declare const SUBDIV_DISPLACE: (displace: number[][]) => import("@thi.ng/geom-subdiv-curve").SubdivKernel;
/**
 * Re-export of thi.ng/geom-subdiv-curve
 * [`SUBDIV_DLG`](https://docs.thi.ng/umbrella/geom-subdiv-curve/variables/SUBDIV_DLG.html)
 */
export declare const SUBDIV_DLG: import("@thi.ng/geom-subdiv-curve").SubdivKernel;
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