/**
 * Returns whether the given value is (almost) zero.
 *
 */
export declare function isCloseToZero(value: number): boolean;
/**
 * Returns the (rounded) value if it is (almost) an integer. Otherwise returns
 * `null`.
 *
 */
export declare function assertInteger(value: number): number | null;
export declare function isInteger(value: number): boolean;
export declare function floor(value: number): number;
export declare function ceil(value: number): number;
/**
 * Finds the greatest common divisor using the Euclidean algorithm
 *
 * @param a A non negative finite integer
 *
 * @param b Another non negative finite integer
 *
 * @returns The greatest common divisor of a and b
 *
 */
export declare function gcd(a: number, b: number): number;
/**
 * Finds the least common multiple
 *
 * @param a A non negative integer
 *
 * @param b Another non negative integer
 *
 * @returns The least common multiple of a and b
 *
 */
export declare function lcm(a: number, b: number): number;
/**
 * @param a A non negative real number
 *
 * @param b Another non negative real number
 *
 * @returns The non negative least common multiple of a and b
 *
 */
export declare function nonNegativeRealLCM(a: number, b: number): number;
/**
 * @param a A real number
 *
 * @param b Another real number
 *
 * @returns The non negative least common multiple of a and b
 *
 */
export declare function realLCM(a: number, b: number): number;
export declare function multiRealLCM(...values: number[]): number | undefined;
export declare function isValidMultiple(multipleOf: number, minimum?: number, maximum?: number): (value: unknown) => value is number;
/**
 * Finds the cardinality of
 *
 * ```
 * { x |
 *   x ≥ `minimum` AND
 *   x ≤ `maximum` AND
 *   x is multiple of `multipleOf`
 * }
 * ```
 *
 */
export declare function findMultipleOfCardinality(multipleOf: number, minimum: number, maximum: number): {
    cardinality: number;
    singleElement?: number | undefined;
};
/**
 * Finds the cardinality of
 *
 * ```
 * { x |
 *   x ≥ minimum AND
 *   x ≤ maximum AND
 *   (
 *     x is multiple of one of the values in multipleUnionOf OR
 *     x is one of the values in constUnion
 *   )
 * }
 * ```
 *
 */
export declare function findMultipleOfUnionCardinality(minimum: number, maximum: number, multipleOfUnion: number[], constUnion: number[]): number;