The EvolvingProteus._getUtility function is used to calculate the utility value of the pool at the time of the function call. The utility is calculated using a quadratic formula which is shown below:
As per the equation, there is a k value used in the a and c coefficients. But this k value is not used when calculating the aQuad and the cQuad values. This could be due to normalization of the equation or the k = 1. But the reason for the missing k value from the coefficient calculations is not given.
Hence, it is fair to assume there is a discrepancy between the Natspec comments and the actual implementation of the logic.
https://github.com/code-423n4/2023-08-shell/blob/main/src/proteus/EvolvingProteus.sol#L697
https://github.com/code-423n4/2023-08-shell/blob/main/src/proteus/EvolvingProteus.sol#L712-L714
