import { DominoValue } from '../game/DominoValue';
/**
 * Canonical, order-independent key for a tile. `6-3` and `3-6` are the same
 * physical domino, so they share a key. Used to enforce tile uniqueness.
 */
export declare function tileKey(value1: number, value2: number): string;
export declare function dominoKey(tile: DominoValue): string;
export declare function isDouble(tile: DominoValue): boolean;
export declare function tileHasValue(tile: DominoValue, value: number): boolean;
/** The pip value on the opposite end from `value`, or null if it doesn't touch. */
export declare function otherEnd(tile: DominoValue, value: number): number | null;
/**
 * Orients a tile so its `value1` is the end that connects to `connectingValue`.
 * Returns null if the tile has no such end.
 */
export declare function orientForConnection(tile: DominoValue, connectingValue: number): DominoValue | null;
/** Every unique tile in a double-`maxPips` set (e.g. maxPips=12 → 91 tiles). */
export declare function generateDominoSet(maxPips: number): DominoValue[];
/** Count of tiles in a double-`maxPips` set: (n+1)(n+2)/2 where n = maxPips. */
export declare function dominoSetSize(maxPips: number): number;