import type { Add, Sub, Mul, Div, Pow, Mod, Abs, Eq, Gt, Gte, Lt, Lte } from "./types";
export declare const FRACTION_SLASH = "\u2044";
export type RationalFormat = "space" | "nospace" | "unicode";
export type RationalFormatOptions = {
    mixed?: boolean;
    format?: RationalFormat;
};
export type RationalLike = [rational: Rational] | [numerator: number] | [numerator: number, denominator: number];
/**
 * A rational number class for fraction arithmetic without loss of precision.
 * Operations are only guaranteed where numerator and denominator are within
 * {@link Number.MIN_SAFE_INTEGER} and {@link Number.MAX_SAFE_INTEGER}.
 */
export declare class Rational implements Number, Add<RationalLike, Rational>, Sub<RationalLike, Rational>, Mul<RationalLike, Rational>, Div<RationalLike, Rational>, Pow<[number], Rational>, Mod<[number], Rational>, Abs<Rational>, Eq<RationalLike>, Gt<RationalLike>, Gte<RationalLike>, Lt<RationalLike>, Lte<RationalLike> {
    #private;
    constructor(numerator: number, denominator?: number);
    get numerator(): number;
    get denominator(): number;
    static from(...input: RationalLike | [fraction: string]): Rational;
    static parse(fraction: string): Rational;
    recip(): Rational;
    add(...addend: RationalLike): Rational;
    sub(...subtrahend: RationalLike): Rational;
    mul(...multiplicand: RationalLike): Rational;
    div(...divisor: RationalLike): Rational;
    pow(exponent: number): Rational;
    mod(modulus: number): Rational;
    abs(): Rational;
    eq(...other: RationalLike): boolean;
    gt(...other: RationalLike): boolean;
    gte(...other: RationalLike): boolean;
    lt(...other: RationalLike): boolean;
    lte(...other: RationalLike): boolean;
    toFraction({ mixed, format, }?: RationalFormatOptions): string;
    valueOf(): number;
    toFixed(fractionDigits?: number | undefined): string;
    toExponential(fractionDigits?: number | undefined): string;
    toPrecision(precision?: number | undefined): string;
    toString(radix?: number | undefined): string;
    get [Symbol.toStringTag](): string;
    [Symbol.toPrimitive](hint: string): string | number;
}