{ "contractName": "SqrtPriceMath", "abi": [], "metadata": "{\"compiler\":{\"version\":\"0.6.8+commit.0bbfe453\"},\"language\":\"Solidity\",\"output\":{\"abi\":[],\"devdoc\":{\"methods\":{},\"title\":\"Functions based on Q64.96 sqrt price and liquidity\"},\"userdoc\":{\"methods\":{},\"notice\":\"Contains the math that uses square root of price as a Q64.96 and liquidity to compute deltas\"}},\"settings\":{\"compilationTarget\":{\"project:/contracts/interfaces/uniswap/SqrtPriceMath.sol\":\"SqrtPriceMath\"},\"evmVersion\":\"istanbul\",\"libraries\":{},\"metadata\":{\"bytecodeHash\":\"ipfs\"},\"optimizer\":{\"enabled\":true,\"runs\":10000},\"remappings\":[]},\"sources\":{\"project:/contracts/interfaces/uniswap/FixedPoint96.sol\":{\"keccak256\":\"0x0ba8a9b95a956a4050749c0158e928398c447c91469682ca8a7cc7e77a7fe032\",\"license\":\"GPL-2.0-or-later\",\"urls\":[\"bzz-raw://186d3b528866065a5856f96d2aeec698efa99f8da913e9adf34f8cc296cc993d\",\"dweb:/ipfs/QmUAiMvtAQp8c9dy57bqJYzG7hkb1uChiPaQmt264skoqP\"]},\"project:/contracts/interfaces/uniswap/FullMath.sol\":{\"keccak256\":\"0x50e87f7a3197525d1c6f7e04290060e848677c8a4e86c554bc6ace4a4d0d476d\",\"license\":\"MIT\",\"urls\":[\"bzz-raw://3874093a6b37d8e68f9475a91f8eb0a1c808cb6153c84cfe6c37909505a4d24e\",\"dweb:/ipfs/QmUqGpQqvSHX4SwUvcBCs9g4ZhR9JPhgD3615oUigAhtjj\"]},\"project:/contracts/interfaces/uniswap/LowGasSafeMath.sol\":{\"keccak256\":\"0xc96ba4e985950ecffd96feda6385286d9a4b1ebb2279e420c9bb1b79b765306c\",\"license\":\"GPL-2.0-or-later\",\"urls\":[\"bzz-raw://d5ead6a53282214cce910e511f7dca4d14c8933de6375cd9fa3653cc94934e2b\",\"dweb:/ipfs/QmcnPR5qhzEYjX7YLdjUeWD7wpLMVn4HonhpNroEh9itpC\"]},\"project:/contracts/interfaces/uniswap/SafeCast.sol\":{\"keccak256\":\"0x4c12bf820c0b011f5490a209960ca34dd8af34660ef9e01de0438393d15e3fd8\",\"license\":\"GPL-2.0-or-later\",\"urls\":[\"bzz-raw://fed11489e218e55d087d42b4f350a30e10cd2aedec8f432bd3cc712f648d5869\",\"dweb:/ipfs/QmWfRnRxyXwHUDcTQPazxYYk5jxErGeQqdvnYtyg5nBPbU\"]},\"project:/contracts/interfaces/uniswap/SqrtPriceMath.sol\":{\"keccak256\":\"0x4f69701d331d364b69a1cda77cd7b983a0079d36ae0e06b0bb1d64ae56c3705e\",\"license\":\"BUSL-1.1\",\"urls\":[\"bzz-raw://f9ed4f172da650484c97d31cce084e905e69c3f3b072141cb15363f4ed0cd03c\",\"dweb:/ipfs/QmPNDM667PxzbbR8YDbtibFaPMGrcbK71GKpFPkGgDEYvb\"]},\"project:/contracts/interfaces/uniswap/UnsafeMath.sol\":{\"keccak256\":\"0x5f36d7d16348d8c37fe64fda932018d6e5e8acecd054f0f97d32db62d20c6c88\",\"license\":\"GPL-2.0-or-later\",\"urls\":[\"bzz-raw://4bd4e817ea3d2c26bb2be7e58db3eaa403119562c18d4c09cc92fb31aa231496\",\"dweb:/ipfs/QmbpjgL8Hf1mhmUyf9hpuPk4noGAggCdTqaRBFKqNF3AQw\"]}},\"version\":1}", 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and liquidity\n/// @notice Contains the math that uses square root of price as a Q64.96 and liquidity to compute deltas\nlibrary SqrtPriceMath {\n using LowGasSafeMath for uint256;\n using SafeCast for uint256;\n\n /// @notice Gets the next sqrt price given a delta of token0\n /// @dev Always rounds up, because in the exact output case (increasing price) we need to move the price at least\n /// far enough to get the desired output amount, and in the exact input case (decreasing price) we need to move the\n /// price less in order to not send too much output.\n /// The most precise formula for this is liquidity * sqrtPX96 / (liquidity +- amount * sqrtPX96),\n /// if this is impossible because of overflow, we calculate liquidity / (liquidity / sqrtPX96 +- amount).\n /// @param sqrtPX96 The starting price, i.e. before accounting for the token0 delta\n /// @param liquidity The amount of usable liquidity\n /// @param amount How much of token0 to add or remove from virtual reserves\n /// @param add Whether to add or remove the amount of token0\n /// @return The price after adding or removing amount, depending on add\n function getNextSqrtPriceFromAmount0RoundingUp(\n uint160 sqrtPX96,\n uint128 liquidity,\n uint256 amount,\n bool add\n ) internal pure returns (uint160) {\n // we short circuit amount == 0 because the result is otherwise not guaranteed to equal the input price\n if (amount == 0) return sqrtPX96;\n uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;\n\n if (add) {\n uint256 product;\n if ((product = amount * sqrtPX96) / amount == sqrtPX96) {\n uint256 denominator = numerator1 + product;\n if (denominator >= numerator1)\n // always fits in 160 bits\n return uint160(FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator));\n }\n\n return uint160(UnsafeMath.divRoundingUp(numerator1, (numerator1 / sqrtPX96).add(amount)));\n } else {\n uint256 product;\n // if the product overflows, we know the denominator underflows\n // in addition, we must check that the denominator does not underflow\n require((product = amount * sqrtPX96) / amount == sqrtPX96 && numerator1 > product);\n uint256 denominator = numerator1 - product;\n return FullMath.mulDivRoundingUp(numerator1, sqrtPX96, denominator).toUint160();\n }\n }\n\n /// @notice Gets the next sqrt price given a delta of token1\n /// @dev Always rounds down, because in the exact output case (decreasing price) we need to move the price at least\n /// far enough to get the desired output amount, and in the exact input case (increasing price) we need to move the\n /// price less in order to not send too much output.\n /// The formula we compute is within <1 wei of the lossless version: sqrtPX96 +- amount / liquidity\n /// @param sqrtPX96 The starting price, i.e., before accounting for the token1 delta\n /// @param liquidity The amount of usable liquidity\n /// @param amount How much of token1 to add, or remove, from virtual reserves\n /// @param add Whether to add, or remove, the amount of token1\n /// @return The price after adding or removing `amount`\n function getNextSqrtPriceFromAmount1RoundingDown(\n uint160 sqrtPX96,\n uint128 liquidity,\n uint256 amount,\n bool add\n ) internal pure returns (uint160) {\n // if we're adding (subtracting), rounding down requires rounding the quotient down (up)\n // in both cases, avoid a mulDiv for most inputs\n if (add) {\n uint256 quotient =\n (\n amount <= type(uint160).max\n ? (amount << FixedPoint96.RESOLUTION) / liquidity\n : FullMath.mulDiv(amount, FixedPoint96.Q96, liquidity)\n );\n\n return uint256(sqrtPX96).add(quotient).toUint160();\n } else {\n uint256 quotient =\n (\n amount <= type(uint160).max\n ? UnsafeMath.divRoundingUp(amount << FixedPoint96.RESOLUTION, liquidity)\n : FullMath.mulDivRoundingUp(amount, FixedPoint96.Q96, liquidity)\n );\n\n require(sqrtPX96 > quotient);\n // always fits 160 bits\n return uint160(sqrtPX96 - quotient);\n }\n }\n\n /// @notice Gets the next sqrt price given an input amount of token0 or token1\n /// @dev Throws if price or liquidity are 0, or if the next price is out of bounds\n /// @param sqrtPX96 The starting price, i.e., before accounting for the input amount\n /// @param liquidity The amount of usable liquidity\n /// @param amountIn How much of token0, or token1, is being swapped in\n /// @param zeroForOne Whether the amount in is token0 or token1\n /// @return sqrtQX96 The price after adding the input amount to token0 or token1\n function getNextSqrtPriceFromInput(\n uint160 sqrtPX96,\n uint128 liquidity,\n uint256 amountIn,\n bool zeroForOne\n ) internal pure returns (uint160 sqrtQX96) {\n require(sqrtPX96 > 0);\n require(liquidity > 0);\n\n // round to make sure that we don't pass the target price\n return\n zeroForOne\n ? getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountIn, true)\n : getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountIn, true);\n }\n\n /// @notice Gets the next sqrt price given an output amount of token0 or token1\n /// @dev Throws if price or liquidity are 0 or the next price is out of bounds\n /// @param sqrtPX96 The starting price before accounting for the output amount\n /// @param liquidity The amount of usable liquidity\n /// @param amountOut How much of token0, or token1, is being swapped out\n /// @param zeroForOne Whether the amount out is token0 or token1\n /// @return sqrtQX96 The price after removing the output amount of token0 or token1\n function getNextSqrtPriceFromOutput(\n uint160 sqrtPX96,\n uint128 liquidity,\n uint256 amountOut,\n bool zeroForOne\n ) internal pure returns (uint160 sqrtQX96) {\n require(sqrtPX96 > 0);\n require(liquidity > 0);\n\n // round to make sure that we pass the target price\n return\n zeroForOne\n ? getNextSqrtPriceFromAmount1RoundingDown(sqrtPX96, liquidity, amountOut, false)\n : getNextSqrtPriceFromAmount0RoundingUp(sqrtPX96, liquidity, amountOut, false);\n }\n\n /// @notice Gets the amount0 delta between two prices\n /// @dev Calculates liquidity / sqrt(lower) - liquidity / sqrt(upper),\n /// i.e. liquidity * (sqrt(upper) - sqrt(lower)) / (sqrt(upper) * sqrt(lower))\n /// @param sqrtRatioAX96 A sqrt price\n /// @param sqrtRatioBX96 Another sqrt price\n /// @param liquidity The amount of usable liquidity\n /// @param roundUp Whether to round the amount up or down\n /// @return amount0 Amount of token0 required to cover a position of size liquidity between the two passed prices\n function getAmount0Delta(\n uint160 sqrtRatioAX96,\n uint160 sqrtRatioBX96,\n uint128 liquidity,\n bool roundUp\n ) internal pure returns (uint256 amount0) {\n if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);\n\n uint256 numerator1 = uint256(liquidity) << FixedPoint96.RESOLUTION;\n uint256 numerator2 = sqrtRatioBX96 - sqrtRatioAX96;\n\n require(sqrtRatioAX96 > 0);\n\n return\n roundUp\n ? UnsafeMath.divRoundingUp(\n FullMath.mulDivRoundingUp(numerator1, numerator2, sqrtRatioBX96),\n sqrtRatioAX96\n )\n : FullMath.mulDiv(numerator1, numerator2, sqrtRatioBX96) / sqrtRatioAX96;\n }\n\n /// @notice Gets the amount1 delta between two prices\n /// @dev Calculates liquidity * (sqrt(upper) - sqrt(lower))\n /// @param sqrtRatioAX96 A sqrt price\n /// @param sqrtRatioBX96 Another sqrt price\n /// @param liquidity The amount of usable liquidity\n /// @param roundUp Whether to round the amount up, or down\n /// @return amount1 Amount of token1 required to cover a position of size liquidity between the two passed prices\n function getAmount1Delta(\n uint160 sqrtRatioAX96,\n uint160 sqrtRatioBX96,\n uint128 liquidity,\n bool roundUp\n ) internal pure returns (uint256 amount1) {\n if (sqrtRatioAX96 > sqrtRatioBX96) (sqrtRatioAX96, sqrtRatioBX96) = (sqrtRatioBX96, sqrtRatioAX96);\n\n return\n roundUp\n ? FullMath.mulDivRoundingUp(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96)\n : FullMath.mulDiv(liquidity, sqrtRatioBX96 - sqrtRatioAX96, FixedPoint96.Q96);\n }\n\n /// @notice Helper that gets signed token0 delta\n /// @param sqrtRatioAX96 A sqrt price\n /// @param sqrtRatioBX96 Another sqrt price\n /// @param liquidity The change in liquidity for which to compute the amount0 delta\n /// @return amount0 Amount of token0 corresponding to the passed liquidityDelta between the two prices\n function getAmount0Delta(\n uint160 sqrtRatioAX96,\n uint160 sqrtRatioBX96,\n int128 liquidity\n ) internal pure returns (int256 amount0) {\n return\n liquidity < 0\n ? -getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()\n : getAmount0Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();\n }\n\n /// @notice Helper that gets signed token1 delta\n /// @param sqrtRatioAX96 A sqrt price\n /// @param sqrtRatioBX96 Another sqrt price\n /// @param liquidity The change in liquidity for which to compute the amount1 delta\n /// @return amount1 Amount of token1 corresponding to the passed liquidityDelta between the two prices\n function getAmount1Delta(\n uint160 sqrtRatioAX96,\n uint160 sqrtRatioBX96,\n int128 liquidity\n ) internal pure returns (int256 amount1) {\n return\n liquidity < 0\n ? -getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(-liquidity), false).toInt256()\n : getAmount1Delta(sqrtRatioAX96, sqrtRatioBX96, uint128(liquidity), true).toInt256();\n }\n}\n", "sourcePath": "/home/thezviad_gmail_com/src/swappa/contracts/interfaces/uniswap/SqrtPriceMath.sol", "ast": { "absolutePath": "project:/contracts/interfaces/uniswap/SqrtPriceMath.sol", "exportedSymbols": { "SqrtPriceMath": [ 3847 ] }, "id": 3848, "license": "BUSL-1.1", "nodeType": "SourceUnit", "nodes": [ { "id": 3333, "literals": [ "solidity", ">=", "0.5", ".0" ], "nodeType": "PragmaDirective", "src": "37:24:39" }, { "absolutePath": 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false, "nodeType": "ElementaryTypeNameExpression", "src": "2222:7:39", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint160_$", "typeString": "type(uint160)" }, "typeName": { "id": 3411, "name": "uint160", "nodeType": "ElementaryTypeName", "src": "2222:7:39", "typeDescriptions": { "typeIdentifier": null, "typeString": null } } }, "id": 3424, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "2222:82:39", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } }, "functionReturnParameters": 3358, "id": 3425, "nodeType": "Return", "src": "2215:89:39" } ] } } ] }, "documentation": { "id": 3346, "nodeType": "StructuredDocumentation", "src": "468:932:39", "text": "@notice Gets the next sqrt price given a delta of token0\n @dev Always rounds up, because in the exact output case (increasing price) we need to move the price at least\n far enough to get the desired output amount, and in the exact input case (decreasing price) we need to move the\n price less in order to not send too much output.\n The most precise formula for this is liquidity * sqrtPX96 / (liquidity +- amount * sqrtPX96),\n if this is impossible because of overflow, we calculate liquidity / (liquidity / sqrtPX96 +- amount).\n @param sqrtPX96 The starting price, i.e. before accounting for the token0 delta\n @param liquidity The amount of usable liquidity\n @param amount How much of token0 to add or remove from virtual reserves\n @param add Whether to add or remove the amount of token0\n @return The price after adding or removing amount, depending on add" }, "id": 3465, "implemented": true, "kind": "function", "modifiers": [], "name": "getNextSqrtPriceFromAmount0RoundingUp", "nodeType": "FunctionDefinition", "overrides": null, "parameters": { "id": 3355, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 3348, "mutability": "mutable", "name": "sqrtPX96", "nodeType": "VariableDeclaration", "overrides": null, "scope": 3465, "src": "1461:16:39", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" }, "typeName": { "id": 3347, "name": "uint160", "nodeType": "ElementaryTypeName", "src": "1461:7:39", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 3350, "mutability": "mutable", "name": "liquidity", "nodeType": "VariableDeclaration", "overrides": null, "scope": 3465, "src": "1487:17:39", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint128", "typeString": "uint128" }, "typeName": { "id": 3349, "name": "uint128", "nodeType": "ElementaryTypeName", "src": "1487:7:39", "typeDescriptions": { "typeIdentifier": "t_uint128", "typeString": "uint128" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 3352, "mutability": "mutable", "name": "amount", "nodeType": "VariableDeclaration", "overrides": null, "scope": 3465, "src": "1514:14:39", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 3351, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "1514:7:39", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 3354, "mutability": "mutable", "name": "add", "nodeType": "VariableDeclaration", "overrides": null, "scope": 3465, "src": "1538:8:39", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 3353, "name": "bool", "nodeType": "ElementaryTypeName", "src": "1538:4:39", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, 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"t_function_internal_pure$_t_uint256_$_t_uint256_$_t_uint256_$returns$_t_uint256_$", "typeString": "function (uint256,uint256,uint256) pure returns (uint256)" } }, "id": 3540, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4525:62:39", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 3541, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "Conditional", "src": "4374:213:39", "trueExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 3531, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 3528, "name": "amount", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 3472, 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returns (uint256)" } }, "id": 3533, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4428:70:39", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 3542, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4352:253:39", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "4317:288:39" }, { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 3547, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 3545, "name": "sqrtPX96", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 3468, "src": "4628:8:39", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "id": 3546, "name": "quotient", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 3518, "src": "4639:8:39", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "4628:19:39", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 3544, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ -18, -18 ], "referencedDeclaration": -18, "src": "4620:7:39", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) 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amount of usable liquidity\n @param amountIn How much of token0, or token1, is being swapped in\n @param zeroForOne Whether the amount in is token0 or token1\n @return sqrtQX96 The price after adding the input amount to token0 or token1" }, "id": 3602, "implemented": true, "kind": "function", "modifiers": [], "name": "getNextSqrtPriceFromInput", "nodeType": "FunctionDefinition", "overrides": null, "parameters": { "id": 3570, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 3563, "mutability": "mutable", "name": "sqrtPX96", "nodeType": "VariableDeclaration", "overrides": null, "scope": 3602, "src": "5343:16:39", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" }, "typeName": { "id": 3562, "name": "uint160", "nodeType": "ElementaryTypeName", "src": "5343:7:39", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } }, "value": null, "visibility": "internal" }, 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liquidity The amount of usable liquidity\n @param amountOut How much of token0, or token1, is being swapped out\n @param zeroForOne Whether the amount out is token0 or token1\n @return sqrtQX96 The price after removing the output amount of token0 or token1" }, "id": 3644, "implemented": true, "kind": "function", "modifiers": [], "name": "getNextSqrtPriceFromOutput", "nodeType": "FunctionDefinition", "overrides": null, "parameters": { "id": 3612, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 3605, "mutability": "mutable", "name": "sqrtPX96", "nodeType": "VariableDeclaration", "overrides": null, "scope": 3644, "src": "6440:16:39", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" }, "typeName": { "id": 3604, "name": "uint160", "nodeType": "ElementaryTypeName", "src": "6440:7:39", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } }, "value": null, 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"typeString": "uint160" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint160", "typeString": "uint160" } ], "expression": { "argumentTypes": null, "id": 3693, "name": "UnsafeMath", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5298, "src": "8013:10:39", "typeDescriptions": { "typeIdentifier": "t_type$_t_contract$_UnsafeMath_$5298_$", "typeString": "type(library UnsafeMath)" } }, "id": 3694, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "divRoundingUp", "nodeType": "MemberAccess", "referencedDeclaration": 5297, "src": "8013:24:39", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (uint256)" } }, "id": 3702, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "8013:163:39", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 3657, "id": 3712, "nodeType": "Return", "src": "7968:297:39" } ] }, "documentation": { "id": 3645, "nodeType": "StructuredDocumentation", "src": "6951:537:39", "text": "@notice Gets the amount0 delta between two prices\n @dev Calculates liquidity / sqrt(lower) - liquidity / sqrt(upper),\n i.e. liquidity * (sqrt(upper) - sqrt(lower)) / (sqrt(upper) * sqrt(lower))\n @param sqrtRatioAX96 A sqrt price\n @param sqrtRatioBX96 Another sqrt price\n @param liquidity The amount of usable liquidity\n @param roundUp Whether to round the amount up or down\n @return amount0 Amount of token0 required to cover a position of size liquidity between the two passed prices" }, "id": 3714, "implemented": true, "kind": "function", 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"typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 3652, "name": "bool", "nodeType": "ElementaryTypeName", "src": "7616:4:39", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "7517:117:39" }, "returnParameters": { "id": 3657, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 3656, "mutability": "mutable", "name": "amount0", "nodeType": "VariableDeclaration", "overrides": null, "scope": 3714, "src": "7658:15:39", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 3655, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "7658:7:39", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7657:17:39" }, "scope": 3847, "src": "7493:779:39", "stateMutability": 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"typeDescriptions": { "typeIdentifier": "t_tuple$_t_uint160_$_t_uint160_$", "typeString": "tuple(uint160,uint160)" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 3734, "name": "sqrtRatioBX96", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 3719, "src": "8988:13:39", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } }, { "argumentTypes": null, "id": 3735, "name": "sqrtRatioAX96", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 3717, "src": "9003:13:39", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } } ], "id": 3736, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8987:30:39", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_uint160_$_t_uint160_$", "typeString": 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"referencedDeclaration": 2301, "src": "9177:15:39", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$_t_uint256_$returns$_t_uint256_$", "typeString": "function (uint256,uint256,uint256) pure returns (uint256)" } }, "id": 3758, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9177:75:39", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 3759, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "Conditional", "src": "9047:205:39", "trueExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 3743, "name": "liquidity", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 3721, "src": "9099:9:39", "typeDescriptions": { "typeIdentifier": "t_uint128", "typeString": "uint128" } }, { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint160", "typeString": "uint160" }, "id": 3746, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 3744, "name": "sqrtRatioBX96", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 3719, "src": "9110:13:39", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "id": 3745, "name": "sqrtRatioAX96", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 3717, "src": "9126:13:39", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } }, "src": "9110:29:39", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } }, { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 3747, "name": "FixedPoint96", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2172, "src": "9141:12:39", "typeDescriptions": { "typeIdentifier": "t_type$_t_contract$_FixedPoint96_$2172_$", "typeString": "type(library FixedPoint96)" } }, "id": 3748, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "Q96", "nodeType": "MemberAccess", "referencedDeclaration": 2171, "src": "9141:16:39", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint128", "typeString": "uint128" }, { "typeIdentifier": "t_uint160", "typeString": "uint160" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "expression": { "argumentTypes": null, "id": 3741, "name": "FullMath", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2345, "src": "9073:8:39", "typeDescriptions": { "typeIdentifier": "t_type$_t_contract$_FullMath_$2345_$", "typeString": "type(library FullMath)" } }, "id": 3742, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "mulDivRoundingUp", "nodeType": "MemberAccess", "referencedDeclaration": 2344, "src": "9073:25:39", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$_t_uint256_$returns$_t_uint256_$", "typeString": "function (uint256,uint256,uint256) pure returns (uint256)" } }, "id": 3749, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9073:85:39", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 3727, "id": 3760, "nodeType": "Return", "src": "9028:224:39" } ] }, "documentation": { "id": 3715, "nodeType": "StructuredDocumentation", "src": "8278:444:39", "text": "@notice Gets the amount1 delta between two prices\n @dev Calculates liquidity * (sqrt(upper) - sqrt(lower))\n @param sqrtRatioAX96 A sqrt price\n @param sqrtRatioBX96 Another sqrt price\n @param liquidity The amount of usable liquidity\n @param roundUp Whether to round the amount up, or down\n @return amount1 Amount of token1 required to cover a position of size liquidity between the two passed prices" }, "id": 3762, "implemented": true, "kind": "function", "modifiers": [], "name": "getAmount1Delta", "nodeType": "FunctionDefinition", "overrides": null, "parameters": { "id": 3724, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 3717, "mutability": "mutable", "name": "sqrtRatioAX96", "nodeType": "VariableDeclaration", "overrides": null, "scope": 3762, "src": "8761:21:39", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" }, "typeName": { "id": 3716, "name": "uint160", "nodeType": "ElementaryTypeName", "src": "8761:7:39", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 3719, "mutability": "mutable", "name": "sqrtRatioBX96", "nodeType": "VariableDeclaration", "overrides": null, "scope": 3762, "src": "8792:21:39", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" }, "typeName": { "id": 3718, "name": "uint160", "nodeType": "ElementaryTypeName", "src": "8792:7:39", "typeDescriptions": { "typeIdentifier": "t_uint160", "typeString": "uint160" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 3721, "mutability": "mutable", "name": "liquidity", "nodeType": "VariableDeclaration", "overrides": null, "scope": 3762, "src": "8823:17:39", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint128", "typeString": 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"abstract": false, "baseContracts": [ null ], "contractDependencies": [ null ], "contractKind": "library", "fullyImplemented": true, "linearizedBaseContracts": [ 3847 ], "name": "SqrtPriceMath", "scope": 3848 }, "children": [ { "attributes": { "text": "@title Functions based on Q64.96 sqrt price and liquidity\n @notice Contains the math that uses square root of price as a Q64.96 and liquidity to compute deltas" }, "id": 3339, "name": "StructuredDocumentation", "src": "202:167:39" }, { "children": [ { "attributes": { "contractScope": null, "name": "LowGasSafeMath", "referencedDeclaration": 3261, "type": "library LowGasSafeMath" }, "id": 3340, "name": "UserDefinedTypeName", "src": "403:14:39" }, { "attributes": { "name": "uint256", "type": "uint256" }, "id": 3341, "name": "ElementaryTypeName", "src": "422:7:39" } ], "id": 3342, "name": "UsingForDirective", "src": "397:33:39" }, { "children": [ { "attributes": { "contractScope": null, "name": "SafeCast", "referencedDeclaration": 3331, "type": "library SafeCast" }, "id": 3343, "name": "UserDefinedTypeName", "src": "441:8:39" }, { "attributes": { "name": "uint256", "type": "uint256" }, "id": 3344, "name": "ElementaryTypeName", "src": "454:7:39" } ], "id": 3345, "name": "UsingForDirective", "src": "435:27:39" }, { "attributes": { "implemented": true, "isConstructor": false, "kind": "function", "modifiers": [ null ], "name": "getNextSqrtPriceFromAmount0RoundingUp", "overrides": null, "scope": 3847, "stateMutability": "pure", "virtual": false, "visibility": "internal" }, "children": [ { "attributes": { "text": "@notice Gets the next sqrt price given a delta of token0\n @dev Always rounds up, because in the exact output case (increasing price) we need to move the price at least\n far enough to get the desired output amount, and in the exact input case (decreasing price) we need to move the\n price less in order to not send too much output.\n The most precise formula for this is liquidity * sqrtPX96 / (liquidity +- amount * sqrtPX96),\n if this is impossible because of overflow, we calculate liquidity / (liquidity / sqrtPX96 +- amount).\n @param sqrtPX96 The starting price, i.e. before accounting for the token0 delta\n @param liquidity The amount of usable liquidity\n @param amount How much of token0 to add or remove from virtual reserves\n @param add Whether to add or remove the amount of token0\n @return The price after adding or removing amount, depending on add" }, "id": 3346, "name": "StructuredDocumentation", "src": "468:932:39" }, { "children": [ { "attributes": { "constant": false, "mutability": "mutable", "name": "sqrtPX96", "overrides": null, "scope": 3465, "stateVariable": false, "storageLocation": "default", "type": "uint160", "value": null, "visibility": "internal" }, "children": [ { "attributes": { "name": "uint160", "type": "uint160" }, "id": 3347, "name": "ElementaryTypeName", "src": "1461:7:39" } ], "id": 3348, "name": "VariableDeclaration", "src": "1461:16:39" }, { "attributes": { 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