/**
 * Fractional number class.
 *
 * @implements {FractionLike}
 * @implements {Reducible}
 */
export declare class Fraction implements FractionLike, Reducible {
    /**
     * Internal integer as denominator.
     *
     * @type {bigint}
     */
    private _denominator;
    /**
     * Internal irreducible state.
     * This value won't be defined until
     * either reduce or reduceAsync is called.
     *
     * @type {boolean | undefined}
     */
    private _irreducible?;
    /**
     * Internal integer as numerator.
     *
     * @type {bigint}
     */
    private _numerator;
    /**
     * Constructs an instance of the fractional number class.
     *
     * @param {Fraction | FractionLike | bigint | number} valueOrNumerator
     *
     * Either an object or an integer.
     *
     * If an object which contains numerator and denominator as the keys
     * is specified, they will be copied to the new object. In this case,
     * only the first one would be used no matter what the second argument.
     *
     * If an integer is specified, it and the second argument will become
     * the numerator and the denominator of the new object.
     *
     * If this argument is omitted, the new object would be a zero.
     *
     * @param {bigint | number} denominator
     *
     * The denominator of the new fractional number object.
     *
     * If this argument is omitted, the new object would be just an integer.
     */
    constructor(valueOrNumerator?: FractionLike | Integer, denominator?: Integer);
    /**
     * Increases the value of this object.
     *
     * @param {Fraction | FractionLike | bigint | number} valueOrNumerator
     *
     * Either an object or an integer.
     *
     * If an object which has 'numerator' and 'denominator' as the keys
     * is specified, their values will be used to increase the value of
     * this object. In this case, only the first one will be used no matter
     * what the second argument.
     *
     * If an integer is specified, it and the second argument will be used
     * as the numerator and the denominator to increase the value of this
     * object.
     *
     * This argument must not be omitted.
     *
     * @param {bigint | number} denominator
     *
     * An integer used as denominator to increase the value of this object.
     *
     * If this argument is omitted, the denominator will be interpreted as 1.
     */
    add(valueOrNumerator: FractionLike | Integer, denominator?: Integer): void;
    /**
     * Increases the value of this object asynchronously.
     *
     * @param {Fraction | FractionLike | bigint | number} valueOrNumerator
     *
     * Either an object or an integer.
     *
     * If an object which has 'numerator' and 'denominator' as the keys
     * is specified, their values will be used to increase the value of
     * this object. In this case, only the first one will be used no matter
     * what the second argument.
     *
     * If an integer is specified, it and the second argument will be used
     * as the numerator and the denominator to increase the value of this
     * object.
     *
     * This argument must not be omitted.
     *
     * @param {bigint | number} denominator
     *
     * An integer used as denominator to increase the value of this object.
     *
     * If this argument is omitted, the denominator will be interpreted as 1.
     *
     * @returns {Promise<void>}
     *
     * A promise.
     */
    addAsync(valueOrNumerator: FractionLike | Integer, denominator?: Integer): Promise<void>;
    /**
     * Creates a clone of this object.
     *
     * @returns {Fraction}
     *
     * Created object.
     */
    clone(): Fraction;
    /**
     * Returns the denominator of this object.
     *
     * @type {bigint}
     */
    get denominator(): bigint;
    /**
     * Divides the value of this object.
     *
     * @param {Fraction | FractionLike | bigint | number} valueOrNumerator
     *
     *
     * @param {bigint | number} denominator
     *
     *
     */
    divide(valueOrNumerator: FractionLike | Integer, denominator?: Integer): void;
    /**
     * Divides the value of this object asynchronously.
     *
     * @param {Fraction | FractionLike | bigint | number} valueOrNumerator
     *
     *
     * @param {bigint | number} denominator
     *
     *
     * @returns {Promise<void>}
     *
     * A promise.
     */
    divideAsync(valueOrNumerator: FractionLike | Integer, denominator?: Integer): Promise<void>;
    /**
     * Determines whether if the value of this object is irreducible or not.
     *
     * @type {boolean}
     */
    get isIrreducible(): boolean;
    /**
     * Multiplys the value of this object.
     *
     * @param {Fraction | FractionLike | bigint | number} valueOrNumerator
     *
     *
     * @param {bigint | number} denominator
     *
     *
     */
    multiply(valueOrNumerator: FractionLike | Integer, denominator?: Integer): void;
    /**
     * Multiplys the value of this object asynchronously.
     *
     * @param {Fraction | FractionLike | bigint | number} valueOrNumerator
     *
     *
     * @param {bigint | number} denominator
     *
     *
     * @returns {Promise<void>}
     *
     * A promise.
     */
    multiplyAsync(valueOrNumerator: FractionLike | Integer, denominator?: Integer): Promise<void>;
    /**
     * Returns the numerator of this object.
     *
     * @type {bigint}
     */
    get numerator(): bigint;
    /**
     * Makes this object irreducible.
     *
     * @param {Function} cb
     *
     * Callback function which takes a greatest common divisor.
     *
     * @returns {Irreducible | T}
     *
     * If this is already irreducible, the instance of Irreducible class
     * will be returned. Otherwise, the value returned by the callback
     * function will be returned.
     */
    reduce<T>(cb?: (gcd: bigint) => T): Irreducible | T;
    /**
     * Makes this object irreducible asynchronously.
     *
     * @param {Function} cb
     *
     * Callback function which takes a greatest common divisor.
     *
     * @returns {Promise<Irreducible | T>}
     *
     * A promise.
     */
    reduceAsync<T>(cb: ReduceAsyncCallback<T>): Promise<Irreducible | T>;
    /**
     * Decrease the value of this object.
     *
     * @param {Fraction | FractionLike | bigint | number} valueOrNumerator
     *
     *
     * @param {bigint | number} denominator
     *
     *
     */
    subtract(valueOrNumerator: FractionLike | Integer, denominator?: Integer): void;
    /**
     * Decrease the value of this object asynchronously.
     *
     * @param {Fraction | FractionLike | bigint | number} valueOrNumerator
     *
     *
     * @param {bigint | number} denominator
     *
     *
     * @returns {Promise<void>}
     *
     * A promise.
     */
    subtractAsync(valueOrNumerator: FractionLike | Integer, denominator?: Integer): Promise<void>;
    /**
     * Converts to a string of decimal value.
     *
     * @param {number} precision
     *
     * A precision.
     *
     * @returns {string}
     *
     * The converted string of decimal value.
     */
    toString(precision?: number): string;
}
/**
 * A couple of 'bigint' which composes the fractional number.
 */
export type FractionLike = {
    /**
     * An integer of denominator.
     *
     * @type {bigint}
     */
    denominator: bigint;
    /**
     * An integer of numerator.
     *
     * @type {bigint}
     */
    numerator: bigint;
};
/**
 * Integer.
 */
export type Integer = bigint | number;
/**
 * Irreducible class.
 *
 * @implements {Reducible}
 */
export declare class Irreducible implements Reducible {
    /**
     * The sole instance of Irreducible class.
     *
     * @type {Irreducible}
     */
    static readonly TheInstance: Reducible;
    /**
     * Constructs an object of Irreducible class.
     * This is never used externally.
     */
    private constructor();
    /**
     * Always true.
     *
     * @type {boolean}
     */
    get isIrreducible(): boolean;
    /**
     * Does nothing.
     *
     * @param {Function} cb
     *
     * A callback function, but never called
     *
     * @returns
     *
     * The sole instance of Irreducible class.
     */
    reduce<T>(cb?: (gcd: bigint) => T): Irreducible | T;
    /**
     * Does nothing.
     *
     * @param {Function} cb
     *
     * A callback function, but never called
     *
     * @returns
     *
     * The sole instance of Irreducible class
     */
    reduceAsync<T>(cb: ReduceAsyncCallback<T>): Promise<Irreducible | T>;
}
/**
 * Callback function type for Reducible#reduceAsync.
 */
type ReduceAsyncCallback<T> = (gcd: bigint) => PromiseLike<T> | T;
/**
 * Reducible interface.
 */
export interface Reducible {
    /**
     * Determines whether if the value of this object is irreducible or not.
     *
     * @type {boolean}
     */
    get isIrreducible(): boolean;
    /**
     * Makes this object irreducible.
     *
     * @param {Function} cb
     *
     * Callback function which takes a greatest common divisor.
     *
     * @returns {Irreducible | T}
     *
     * If this is already irreducible, the instance of Irreducible class
     * will be returned. Otherwise, the value returned by the callback
     * function will be returned.
     */
    reduce<T>(cb?: (gcd: bigint) => T): Irreducible | T;
    /**
     * Makes this object irreducible asynchronously.
     *
     * @param {Function} cb
     *
     * Callback function which takes a greatest common divisor.
     *
     * @returns {Irreducible | T}
     *
     * If this is already irreducible, the instance of Irreducible class
     * will be returned. Otherwise, the value returned by the callback
     * function will be returned.
     */
    reduceAsync<T>(cb: ReduceAsyncCallback<T>): Promise<Irreducible | T>;
}
/**
 * Call procedures concurrently.
 *
 * @param {Function[]} procedures
 *
 * An array of procedures.
 *
 * @returns {Promise<T[]>}
 *
 * A promise.
 */
export declare const callProceduresConcurrentlyAsync: <T>(...procedures: (() => T)[]) => Promise<T[]>;
/**
 * Determines whether if a value is similar to the fraction class.
 *
 * @param {unknown} value
 *
 * A target value to be determined.
 *
 * @returns {boolean}
 *
 * Type-guard-specifier for FractionLike.
 */
export declare const isFractionLike: (value: unknown) => value is FractionLike;
export {};