export declare function _calculateInvariant(amp: bigint, balances: bigint[], roundUp: boolean): bigint;
export declare function _calcOutGivenIn(amp: bigint, balances: bigint[], tokenIndexIn: number, tokenIndexOut: number, amountIn: bigint, invariant?: bigint): bigint;
export declare function _calcInGivenOut(amp: bigint, balances: bigint[], tokenIndexIn: number, tokenIndexOut: number, amountOut: bigint, fee: bigint, invariant?: bigint): bigint;
export declare function _calcBptOutGivenExactTokensIn(amp: bigint, balances: bigint[], amountsIn: bigint[], bptTotalSupply: bigint, invariant?: bigint): bigint;
export declare function _calcTokenInGivenExactBptOut(amp: bigint, balances: bigint[], tokenIndexIn: number, bptAmountOut: bigint, bptTotalSupply: bigint, fee: bigint, invariant?: bigint): bigint;
export declare function _calcBptInGivenExactTokensOut(amp: bigint, balances: bigint[], amountsOut: bigint[], bptTotalSupply: bigint, swapFeePercentage: bigint, invariant?: bigint): bigint;
export declare function _calcTokenOutGivenExactBptIn(amp: bigint, balances: bigint[], tokenIndex: number, bptAmountIn: bigint, bptTotalSupply: bigint, invariant?: bigint): bigint;
export declare function _calcTokensOutGivenExactBptIn(balances: bigint[], bptAmountIn: bigint, bptTotalSupply: bigint): bigint[];
export declare function subtractFee(amount: bigint, fee: bigint): bigint;
export declare function addFee(amount: bigint, fee: bigint): bigint;