export declare function _calcOutGivenIn(amp: bigint, balances: bigint[], tokenIndexIn: number, tokenIndexOut: number, amountIn: bigint, fee: bigint): bigint;
export declare function _calcInGivenOut(amp: bigint, balances: bigint[], tokenIndexIn: number, tokenIndexOut: number, amountOut: bigint, fee: bigint): bigint;
export declare function _calcBptOutGivenExactTokensIn(amp: bigint, balances: bigint[], amountsIn: bigint[], bptTotalSupply: bigint, swapFeePercentage: bigint): bigint;
export declare function _calcTokenInGivenExactBptOut(amp: bigint, balances: bigint[], tokenIndexIn: number, bptAmountOut: bigint, bptTotalSupply: bigint, fee: bigint): bigint;
export declare function _calcBptInGivenExactTokensOut(amp: bigint, balances: bigint[], amountsOut: bigint[], bptTotalSupply: bigint, swapFeePercentage: bigint): bigint;
export declare function _calcTokenOutGivenExactBptIn(amp: bigint, balances: bigint[], tokenIndex: number, bptAmountIn: bigint, bptTotalSupply: bigint, swapFeePercentage: bigint): bigint;
export declare function _calcTokensOutGivenExactBptIn(balances: bigint[], bptAmountIn: bigint, bptTotalSupply: bigint): bigint[];
export declare function _spotPriceAfterSwapExactTokenInForTokenOut(amp: bigint, balances: bigint[], tokenIndexIn: number, tokenIndexOut: number, amountIn: bigint, fee: bigint): bigint;
export declare function _spotPriceAfterSwapTokenInForExactTokenOut(amp: bigint, balances: bigint[], tokenIndexIn: number, tokenIndexOut: number, amountOut: bigint, fee: bigint): BigInt;
export declare function _spotPriceAfterSwapExactTokenInForBPTOut(amp: bigint, balances: bigint[], tokenIndexIn: number, bptTotalSupply: bigint, amountIn: bigint): bigint;
export declare function _spotPriceAfterSwapTokenInForExactBPTOut(amp: bigint, balances: bigint[], tokenIndexIn: number, bptTotalSupply: bigint, amountOut: bigint): bigint;
export declare function _spotPriceAfterSwapExactBPTInForTokenOut(amp: bigint, balances: bigint[], tokenIndexOut: number, bptTotalSupply: bigint, amountIn: bigint): bigint;
export declare function _spotPriceAfterSwapBPTInForExactTokenOut(amp: bigint, balances: bigint[], tokenIndexOut: number, bptTotalSupply: bigint, amountOut: bigint): bigint;
export declare function _poolDerivatives(amp: bigint, balances: bigint[], tokenIndexIn: number, tokenIndexOut: number, is_first_derivative: boolean, wrt_out: boolean): bigint;
export declare function _poolDerivativesBPT(amp: bigint, balances: bigint[], bptSupply: bigint, tokenIndexIn: number, is_first_derivative: boolean, is_BPT_out: boolean, wrt_out: boolean): bigint;