# 先計算當 input 超級小的時候能拿到多少 localSP
localSP = sqrt(_input * _output) * premium
localSP = sqrt(_input * _input * fairPrice) * premium
localSP = _input * sqrt(price) * premium
localSP = (_input / decimal(input) * priceInput) * decimal(input) / priceInput * sqrt(fairPrice) * premium
localSP = inputUSD * decimal(input) / priceInput * sqrt(fairPrice) * premium
localSPMarginal = localSP/inputUSD = decimal(input) * sqrt(fairPrice)/priceInput * premium
> localSPMarginal = sqrt(decimal(baseToken)**2 * fairPrice)/baseTokenPrice * premium