import type { CubicPath2d } from '../path/cubic2d.ts';
import type { Pipeable } from '../utils.ts';
import type { Vector2 } from '../vector/vector2.ts';
import type { Bezier2d } from './bezier2d.ts';
import type { Hermite2dTypeId } from './hermite2d.internal.ts';
/**
 * A Hermite spline in 2D space.
 *
 * All fields are readonly and immutable, and all operations create new instances.
 *
 * The characteristic matrix that identifies this spline family lives in the
 * `characteristic` module as `Characteristic.cubicHermite`.
 *
 * @since 1.0.0
 */
export interface Hermite2d extends Pipeable {
    readonly [Hermite2dTypeId]: Hermite2dTypeId;
    [Symbol.iterator](): IterableIterator<Vector2>;
}
/**
 * Checks if a value is a `Hermite2d`.
 *
 * @param p - The value to check.
 * @returns `true` if the value is a `Hermite2d`, `false` otherwise.
 * @since 1.0.0
 */
export declare const isHermite2d: (p: unknown) => p is Hermite2d;
/**
 * Creates a new `Hermite2d` instance.
 *
 * @param p0 - The first control point.
 * @param v0 - The first tangent vector.
 * @param p1 - The second control point.
 * @param v1 - The second tangent vector.
 * @returns A new `Hermite2d` instance.
 * @since 1.0.0
 */
export declare const make: (p0: Vector2, v0: Vector2, p1: Vector2, v1: Vector2) => Hermite2d;
/**
 * Creates a new `Hermite2d` instance from an array of control points.
 *
 * @param points - The control points.
 * @returns A new `Hermite2d` instance.
 * @since 1.0.0
 */
export declare const fromArray: (points: ReadonlyArray<Vector2>) => Hermite2d;
/**
 * Creates a new `Hermite2d` from an array of `[x, y]` tuples, alternating
 * `[position, velocity]` pairs.
 *
 * @param tuples - The point/velocity pairs as `[x, y]` tuples.
 * @returns A new `Hermite2d` instance.
 * @since 2.0.0
 */
export declare const fromTuples: (tuples: ReadonlyArray<readonly [number, number]>) => Hermite2d;
export declare const append: {
    /**
     * Appends a new control point and tangent vector to the Hermite spline.
     *
     * @param p1 - The new control point.
     * @param v1 - The new tangent vector.
     * @returns A new `Hermite2d` instance with the appended control point and tangent vector.
     * @since 1.0.0
     */
    (p1: Vector2, v1: Vector2): (p: Hermite2d) => Hermite2d;
    /**
     * Appends a new control point and tangent vector to the Hermite spline.
     *
     * @param p - The `Hermite2d` to append the control point and tangent vector to.
     * @param p1 - The new control point.
     * @param v1 - The new tangent vector.
     * @returns A new `Hermite2d` instance with the appended control point and tangent vector.
     * @since 1.0.0
     */
    (p: Hermite2d, p1: Vector2, v1: Vector2): Hermite2d;
};
export declare const prepend: {
    /**
     * Prepends a new control point and tangent vector to the Hermite spline.
     *
     * @param p0 - The new control point.
     * @param v0 - The new tangent vector.
     * @returns A new `Hermite2d` instance with the prepended control point and tangent vector.
     * @since 1.0.0
     */
    (p0: Vector2, v0: Vector2): (p: Hermite2d) => Hermite2d;
    /**
     * Prepends a new control point and tangent vector to the Hermite spline.
     *
     * @param p - The `Hermite2d` to prepend the control point and tangent vector to.
     * @param p0 - The new control point.
     * @param v0 - The new tangent vector.
     * @returns A new `Hermite2d` instance with the prepended control point and tangent vector.
     * @since 1.0.0
     */
    (p: Hermite2d, p0: Vector2, v0: Vector2): Hermite2d;
};
/**
 * Creates a new `CubicPath2d` instance from a `Hermite2d`.
 *
 * @param p - The `Hermite2d` to convert.
 * @returns A new `CubicPath2d` instance.
 * @since 1.0.0
 */
export declare const toPath: (p: Hermite2d) => CubicPath2d;
/**
 * Converts a `Hermite2d` to a `Bezier2d`.
 *
 * @param p - The `Hermite2d` to convert.
 * @returns A new `Bezier2d` instance.
 * @since 1.0.0
 */
export declare const toBezier: (p: Hermite2d) => Bezier2d;