import { BigNumber } from '@ethersproject/bignumber';
export type GyroEParams = {
    alpha: BigNumber;
    beta: BigNumber;
    c: BigNumber;
    s: BigNumber;
    lambda: BigNumber;
};
export type DerivedGyroEParams = {
    tauAlpha: Vector2;
    tauBeta: Vector2;
    u: BigNumber;
    v: BigNumber;
    w: BigNumber;
    z: BigNumber;
    dSq: BigNumber;
};
export type Vector2 = {
    x: BigNumber;
    y: BigNumber;
};
export type QParams = {
    a: BigNumber;
    b: BigNumber;
    c: BigNumber;
};
export declare function reduceFee(amountIn: BigNumber, swapFee: BigNumber): BigNumber;
export declare function addFee(amountIn: BigNumber, swapFee: BigNumber): BigNumber;
export declare function normalizeBalances(balances: BigNumber[], decimals: number[]): BigNumber[];
export declare function balancesFromTokenInOut(balanceTokenIn: BigNumber, balanceTokenOut: BigNumber, tokenInIsToken0: boolean): BigNumber[];
export declare function calcAtAChi(x: BigNumber, y: BigNumber, p: GyroEParams, d: DerivedGyroEParams): BigNumber;
export declare function calcInvariantSqrt(x: BigNumber, y: BigNumber, p: GyroEParams, d: DerivedGyroEParams): BigNumber[];
export declare function calcAChiAChiInXp(p: GyroEParams, d: DerivedGyroEParams): BigNumber;
export declare function checkAssetBounds(params: GyroEParams, derived: DerivedGyroEParams, invariant: Vector2, newBal: BigNumber, assetIndex: number): void;
export declare function calcYGivenX(x: BigNumber, params: GyroEParams, d: DerivedGyroEParams, r: Vector2): BigNumber;
export declare function calcXGivenY(y: BigNumber, params: GyroEParams, d: DerivedGyroEParams, r: Vector2): BigNumber;
export declare function virtualOffset0(p: GyroEParams, d: DerivedGyroEParams, r: Vector2, switchTau?: boolean): BigNumber;
export declare function virtualOffset1(p: GyroEParams, d: DerivedGyroEParams, r: Vector2, switchTau?: boolean): BigNumber;
export declare function calcXpXpDivLambdaLambda(x: BigNumber, r: Vector2, lambda: BigNumber, s: BigNumber, c: BigNumber, tauBeta: Vector2, dSq: BigNumber): BigNumber;
export declare function mulA(params: GyroEParams, tp: Vector2): Vector2;
export declare function scalarProd(t1: Vector2, t2: Vector2): BigNumber;