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Numeric Limits

amounts

uint112
    Maximum sane amount (result of balanceOf) for external tokens
    Uniswap2 limits token amounts to this
    Spec: For an 18 decimal token, more than a million billion tokens (1e15)

small amounts

uint96
    For holding amounts that we don't expect to get quite as large, in particular reserve balances
    Can pack together with an address in a single slot
    Spec: For an 18 decimal token, more than a billion tokens (1e9)

debt amounts

uint144
    Maximum sane amount for debts
    Packs together with an amount in a single storage slot
    Spec: Should hold the maximum possible amount (uint112) but scaled by another 9 decimal places (for the internal debt precision)
      Actual: 2e16

prices

    Minimum supported price:
      Fraction: 1e3 / 1e18 = 1e-15
      Tick: -345405
      sqrtPriceX96: 2505418623681149822473
    Maximum supported price:
      Fraction: 1e33 / 1e18 = 1e15
      Tick: 345405
      sqrtPriceX96: 2505410343826649584586222772852783278
The supported price range was chosen for the following reason:
    The maximum price squared fits in a uint256: 6e73 < 1e77
      Not necessary to use FullMath library
    The maximum supported price times the maximum supported amount fits within a uint256: 5e66 < 1e77
      Also holds with debt and its extra 9 digits of precision: 5e75 < 1e77

interestRate

int96
    "Second Percent Yield"
    Fraction scaled by 1e27
      Example: 10% APR = 1e27 * 0.1 / (86400*365) = 1e27 * 0.000000003170979198376458650 = 3170979198376458650
    Spec: 1 billion % APR, positive or negative

interestAccumulator

uint256
    Starts at 1e27, multiplied by (1e27 + interestRate) every second
    Spec: 100% APR for 100 years
    1
    -> 2^256
    2
    ~= 1.1579208923e+77
    3
    -> 10^27 * (1 + (100/100 / (86400*365)))^(86400*365*100)
    4
    ~= 2.6881128798e+70
    Copied!

moduleId

uint32
    One per module, so this is way more than needed
    Divided into 3 sections
      <500_000: Public single-proxy
      =500_000 and <1_000_000: Public multi-proxy
      =1_000_000: Internal
    Spec: A dozen or so modules, with room to grow in all sections

collateralFactor/borrowFactor

uint32
    Fraction between 0 and 1, scaled by 2^32 - 1
    Spec: At least 3 decimal places (overkill)
Last modified 3mo ago