TickMath
this library is used in Fluid Vault protocol for optimiziation.
"tick" supports between -32767 and 32767. "ratioX96" supports between 37075072 and 169307877264527972847801929085841449095838922544595
MIN_TICK
int24 MIN_TICKThe minimum tick that can be passed in getRatioAtTick. 1.0015**-32767
MAX_TICK
int24 MAX_TICKThe maximum tick that can be passed in getRatioAtTick. 1.0015**32767
FACTOR00
uint256 FACTOR00FACTOR01
uint256 FACTOR01FACTOR02
uint256 FACTOR02FACTOR03
uint256 FACTOR03FACTOR04
uint256 FACTOR04FACTOR05
uint256 FACTOR05FACTOR06
uint256 FACTOR06FACTOR07
uint256 FACTOR07FACTOR08
uint256 FACTOR08FACTOR09
uint256 FACTOR09FACTOR10
uint256 FACTOR10FACTOR11
uint256 FACTOR11FACTOR12
uint256 FACTOR12FACTOR13
uint256 FACTOR13FACTOR14
uint256 FACTOR14FACTOR15
uint256 FACTOR15MIN_RATIOX96
uint256 MIN_RATIOX96The minimum value that can be returned from getRatioAtTick. Equivalent to getRatioAtTick(MIN_TICK). ~ Equivalent to (1 << 96) * (1.0015**-32767)
MAX_RATIOX96
uint256 MAX_RATIOX96The maximum value that can be returned from getRatioAtTick. Equivalent to getRatioAtTick(MAX_TICK).
~ Equivalent to (1 << 96) * (1.0015**32767), rounding etc. leading to minor difference
ZERO_TICK_SCALED_RATIO
uint256 ZERO_TICK_SCALED_RATIO_1E26
uint256 _1E26getRatioAtTick
function getRatioAtTick(int256 tick) internal pure returns (uint256 ratioX96)ratioX96 = (1.0015^tick) * 2^96
Throws if |tick| > max tick
Parameters
| Name | Type | Description |
|---|---|---|
| tick | int256 | The input tick for the above formula |
Return Values
| Name | Type | Description |
|---|---|---|
| ratioX96 | uint256 | ratio = (debt amount/collateral amount) |
getTickAtRatio
function getTickAtRatio(uint256 ratioX96) internal pure returns (int256 tick, uint256 perfectRatioX96)ratioX96 = (1.0015^tick) * 2^96
Throws if ratioX96 > max ratio || ratioX96 < min ratio
Parameters
| Name | Type | Description |
|---|---|---|
| ratioX96 | uint256 | The input ratio; ratio = (debt amount/collateral amount) |
Return Values
| Name | Type | Description |
|---|---|---|
| tick | int256 | The output tick for the above formula. Returns in round down form. if tick is 123.23 then 123, if tick is -123.23 then returns -124 |
| perfectRatioX96 | uint256 | perfect ratio for the above tick |