In Solidity, the maximum value for a uint256
is 2^256 - 1
. An overflow occurs when a calculation results in a number higher than this maximum value.
For the calcReserve()
function, the overflow scenario in the exponentiation step (lpTokenSupply ** 2
) would occur if the lpTokenSupply
is large enough that squaring it exceeds 2^256 - 1
.
The relevant line is this:
Let lpTokenSupply
be x
.
The maximum value before overflow upon squaring would be the square root of 2^256 - 1
, which is approximately 2^128
.
If lpTokenSupply (x)
is greater than 2^128
, then x * x
would result in a number larger than 2^256 - 1
, causing an overflow.
For example, if lpTokenSupply
is 2^130
, then squaring it (2^130 * 2^130)
would result in 2^260
, which is greater than 2^256 - 1
, leading to an overflow.
Revert Transaction: Solidity 0.8.x
automatically reverts the transaction if an arithmetic operation overflows.
Manual Review
Input Validation:
Ensure that lpTokenSupply
is within a range that, when squared, does not exceed the maximum uint256
value.
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