// SPDX-License-Identifier: GPL-2.0-or-later pragma solidity >=0.8.4 <0.9.0; import '../../contracts/libraries/FullMath.sol'; import '../../contracts/libraries/FixedPoint96.sol'; /// @dev Made this library into a contract to be able to calculate liquidity more precisely for tests // solhint-disable contract LiquidityAmountsForTest { function toUint128(uint256 x) private pure returns (uint128 y) { require((y = uint128(x)) == x); } function getLiquidityForAmount0( uint160 sqrtRatioAX96, uint160 sqrtRatioBX96, uint256 amount0 ) public pure returns (uint128 liquidity) { if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96); uint256 intermediate = FullMath.mulDiv(sqrtRatioAX96, sqrtRatioBX96, FixedPoint96.Q96); return toUint128(FullMath.mulDiv(amount0, intermediate, sqrtRatioBX96 - sqrtRatioAX96)); } function getLiquidityForAmount1( uint160 sqrtRatioAX96, uint160 sqrtRatioBX96, uint256 amount1 ) public pure returns (uint128 liquidity) { if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96); return toUint128(FullMath.mulDiv(amount1, FixedPoint96.Q96, sqrtRatioBX96 - sqrtRatioAX96)); } function getLiquidityForAmounts( uint160 sqrtRatioX96, uint160 sqrtRatioAX96, uint160 sqrtRatioBX96, uint256 amount0, uint256 amount1 ) external pure returns (uint128 liquidity) { if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96); if (sqrtRatioX96 <= sqrtRatioAX96) { liquidity = getLiquidityForAmount0(sqrtRatioAX96, sqrtRatioBX96, amount0); } else if (sqrtRatioX96 < sqrtRatioBX96) { uint128 liquidity0 = getLiquidityForAmount0(sqrtRatioX96, sqrtRatioBX96, amount0); uint128 liquidity1 = getLiquidityForAmount1(sqrtRatioAX96, sqrtRatioX96, amount1); liquidity = liquidity0 < liquidity1 ? liquidity0 : liquidity1; } else { liquidity = getLiquidityForAmount1(sqrtRatioAX96, sqrtRatioBX96, amount1); } } function getAmount0ForLiquidity( uint160 sqrtRatioAX96, uint160 sqrtRatioBX96, uint128 liquidity ) public pure returns (uint256 amount0) { if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96); return FullMath.mulDiv(uint256(liquidity) << FixedPoint96.RESOLUTION, sqrtRatioBX96 - sqrtRatioAX96, sqrtRatioBX96) / sqrtRatioAX96; } function getAmount1ForLiquidity( uint160 sqrtRatioAX96, uint160 sqrtRatioBX96, uint128 liquidity ) public pure returns (uint256 amount1) { if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96); return FullMath.mulDiv(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96); } function getAmountsForLiquidity( uint160 sqrtRatioX96, uint160 sqrtRatioAX96, uint160 sqrtRatioBX96, uint128 liquidity ) external pure returns (uint256 amount0, uint256 amount1) { if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96); if (sqrtRatioX96 <= sqrtRatioAX96) { amount0 = getAmount0ForLiquidity(sqrtRatioAX96, sqrtRatioBX96, liquidity); } else if (sqrtRatioX96 < sqrtRatioBX96) { amount0 = getAmount0ForLiquidity(sqrtRatioX96, sqrtRatioBX96, liquidity); amount1 = getAmount1ForLiquidity(sqrtRatioAX96, sqrtRatioX96, liquidity); } else { amount1 = getAmount1ForLiquidity(sqrtRatioAX96, sqrtRatioBX96, liquidity); } } }