import { Point2, Vec2 } from '../Vec2';
import Abstract2DShape from './Abstract2DShape';
import LineSegment2 from './LineSegment2';
/**
 * A 2-dimensional path with parameter interval $t \in [0, 1]$.
 *
 * **Note:** Avoid extending this class outside of `js-draw` --- new abstract methods
 * may be added between minor versions.
 */
export declare abstract class Parameterized2DShape extends Abstract2DShape {
    /** Returns this at a given parameter. $t \in [0, 1]$ */
    abstract at(t: number): Point2;
    /** Computes the unit normal vector at $t$. */
    abstract normalAt(t: number): Vec2;
    abstract tangentAt(t: number): Vec2;
    /**
     * Divides this shape into two separate shapes at parameter value $t$.
     */
    abstract splitAt(t: number): [Parameterized2DShape] | [Parameterized2DShape, Parameterized2DShape];
    /**
     * Returns the nearest point on `this` to `point` and the `parameterValue` at which
     * that point occurs.
     */
    abstract nearestPointTo(point: Point2): {
        point: Point2;
        parameterValue: number;
    };
    /**
     * Returns the **parameter values** at which `lineSegment` intersects this shape.
     *
     * See also {@link intersectsLineSegment}
     */
    abstract argIntersectsLineSegment(lineSegment: LineSegment2): number[];
    intersectsLineSegment(line: LineSegment2): Point2[];
}
export default Parameterized2DShape;