import DE9IM from '../data_structures/de9im';
import type { Shape } from '../classes/Shape';
/**
 * Returns true if shapes are topologically equal:  their interiors intersect and
 * no part of the interior or boundary of one geometry intersects the exterior of the other
 */
export declare function equal(a: Shape, b: Shape): boolean;
/**
 * Returns true if shapes have at least one point in common, same as "not disjoint"
 */
export declare function intersect(a: Shape, b: Shape): boolean;
/**
 * Returns true if shapes have at least one point in common, but their interiors do not intersect
 */
export declare function touch(a: Shape, b: Shape): boolean;
/**
 * Returns true if shapes have no points in common neither in interior nor in boundary
 */
export declare function disjoint(a: Shape, b: Shape): boolean;
/**
 * Returns true a lies in the interior of b
 */
export declare function inside(a: Shape, b: Shape): boolean;
/**
 * Returns true if every point in a lies in the interior or on the boundary of b
 */
export declare function covered(a: Shape, b: Shape): boolean;
/**
 * Returns true a's interior contains b <br/>
 * Same as inside(b, a)
 */
export declare function contain(a: Shape, b: Shape): boolean;
/**
 * Returns true a's cover b, same as b covered by a
 */
export declare function cover(a: Shape, b: Shape): boolean;
/**
 * Returns relation between two shapes as intersection 3x3 matrix, where each
 * element contains relevant intersection as array of shapes.
 * If there is no intersection, element contains empty array
 * If intersection is irrelevant it left undefined. (For example, intersection
 * between two exteriors is usually irrelevant)
 */
export declare function relate(shape1: Shape, shape2: Shape): DE9IM;
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