@windfallswap/periphery

{ "contractName": "FixedPoint", "abi": [ { "inputs": [], "name": "Q112", "outputs": [ { "internalType": "uint256", "name": "", "type": "uint256" } ], "stateMutability": "view", "type": "function" }, { "inputs": [], "name": "RESOLUTION", "outputs": [ { "internalType": "uint8", "name": "", "type": "uint8" } ], "stateMutability": "view", "type": "function" } ], "metadata": 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"bytecode": "0x60c4610025600b82828239805160001a60731461001857fe5b30600052607381538281f3fe7300000000000000000000000000000000000000003014608060405260043610603d5760003560e01c80633bf7a83e146042578063552f888a14605a575b600080fd5b60486076565b60408051918252519081900360200190f35b60606089565b6040805160ff9092168252519081900360200190f35b6e01000000000000000000000000000081565b60708156fea26469706673582212209e36c2815ba812ee2837c8b7a0d41c50cc7e8dc9cf8f546eb02de42d5f8e55c764736f6c63430006060033", "deployedBytecode": "0x7300000000000000000000000000000000000000003014608060405260043610603d5760003560e01c80633bf7a83e146042578063552f888a14605a575b600080fd5b60486076565b60408051918252519081900360200190f35b60606089565b6040805160ff9092168252519081900360200190f35b6e01000000000000000000000000000081565b60708156fea26469706673582212209e36c2815ba812ee2837c8b7a0d41c50cc7e8dc9cf8f546eb02de42d5f8e55c764736f6c63430006060033", "immutableReferences": {}, "sourceMap": "259:6021:17:-:0;;132:2:-1;166:7;155:9;146:7;137:37;255:7;249:14;246:1;241:23;235:4;232:33;222:2;;269:9;222:2;293:9;290:1;283:20;323:4;314:7;306:22;347:7;338;331:24", "deployedSourceMap": "259:6021:17:-:0;;;;;;;;;;;;;;;;;;;;;;;;;;12:1:-1;9;2:12;562:62:17;;;:::i;:::-;;;;;;;;;;;;;;;;517:38;;;:::i;:::-;;;;;;;;;;;;;;;;;;;562:62;593:31;562:62;:::o;517:38::-;552:3;517:38;:::o", "source": "// SPDX-License-Identifier: GPL-3.0-or-later\r\npragma solidity >=0.4.0;\r\n\r\nimport './FullMath.sol';\r\nimport './Babylonian.sol';\r\nimport './BitMath.sol';\r\n\r\n// a library for handling binary fixed point numbers (https://en.wikipedia.org/wiki/Q_(number_format))\r\nlibrary FixedPoint {\r\n // range: [0, 2**112 - 1]\r\n // resolution: 1 / 2**112\r\n struct uq112x112 {\r\n uint224 _x;\r\n }\r\n\r\n // range: [0, 2**144 - 1]\r\n // resolution: 1 / 2**112\r\n struct uq144x112 {\r\n uint256 _x;\r\n }\r\n\r\n uint8 public constant RESOLUTION = 112;\r\n uint256 public constant Q112 = 0x10000000000000000000000000000; // 2**112\r\n uint256 private constant Q224 = 0x100000000000000000000000000000000000000000000000000000000; // 2**224\r\n uint256 private constant LOWER_MASK = 0xffffffffffffffffffffffffffff; // decimal of UQ*x112 (lower 112 bits)\r\n\r\n // encode a uint112 as a UQ112x112\r\n function encode(uint112 x) internal pure returns (uq112x112 memory) {\r\n return uq112x112(uint224(x) << RESOLUTION);\r\n }\r\n\r\n // encodes a uint144 as a UQ144x112\r\n function encode144(uint144 x) internal pure returns (uq144x112 memory) {\r\n return uq144x112(uint256(x) << RESOLUTION);\r\n }\r\n\r\n // decode a UQ112x112 into a uint112 by truncating after the radix point\r\n function decode(uq112x112 memory self) internal pure returns (uint112) {\r\n return uint112(self._x >> RESOLUTION);\r\n }\r\n\r\n // decode a UQ144x112 into a uint144 by truncating after the radix point\r\n function decode144(uq144x112 memory self) internal pure returns (uint144) {\r\n return uint144(self._x >> RESOLUTION);\r\n }\r\n\r\n // multiply a UQ112x112 by a uint, returning a UQ144x112\r\n // reverts on overflow\r\n function mul(uq112x112 memory self, uint256 y) internal pure returns (uq144x112 memory) {\r\n uint256 z = 0;\r\n require(y == 0 || (z = self._x * y) / y == self._x, 'FixedPoint::mul: overflow');\r\n return uq144x112(z);\r\n }\r\n\r\n // multiply a UQ112x112 by an int and decode, returning an int\r\n // reverts on overflow\r\n function muli(uq112x112 memory self, int256 y) internal pure returns (int256) {\r\n uint256 z = FullMath.mulDiv(self._x, uint256(y < 0 ? -y : y), Q112);\r\n require(z < 2**255, 'FixedPoint::muli: overflow');\r\n return y < 0 ? -int256(z) : int256(z);\r\n }\r\n\r\n // multiply a UQ112x112 by a UQ112x112, returning a UQ112x112\r\n // lossy\r\n function muluq(uq112x112 memory self, uq112x112 memory other) internal pure returns (uq112x112 memory) {\r\n if (self._x == 0 || other._x == 0) {\r\n return uq112x112(0);\r\n }\r\n uint112 upper_self = uint112(self._x >> RESOLUTION); // * 2^0\r\n uint112 lower_self = uint112(self._x & LOWER_MASK); // * 2^-112\r\n uint112 upper_other = uint112(other._x >> RESOLUTION); // * 2^0\r\n uint112 lower_other = uint112(other._x & LOWER_MASK); // * 2^-112\r\n\r\n // partial products\r\n uint224 upper = uint224(upper_self) * upper_other; // * 2^0\r\n uint224 lower = uint224(lower_self) * lower_other; // * 2^-224\r\n uint224 uppers_lowero = uint224(upper_self) * lower_other; // * 2^-112\r\n uint224 uppero_lowers = uint224(upper_other) * lower_self; // * 2^-112\r\n\r\n // so the bit shift does not overflow\r\n require(upper <= uint112(-1), 'FixedPoint::muluq: upper overflow');\r\n\r\n // this cannot exceed 256 bits, all values are 224 bits\r\n uint256 sum = uint256(upper << RESOLUTION) + uppers_lowero + uppero_lowers + (lower >> RESOLUTION);\r\n\r\n // so the cast does not overflow\r\n require(sum <= uint224(-1), 'FixedPoint::muluq: sum overflow');\r\n\r\n return uq112x112(uint224(sum));\r\n }\r\n\r\n // divide a UQ112x112 by a UQ112x112, returning a UQ112x112\r\n function divuq(uq112x112 memory self, uq112x112 memory other) internal pure returns (uq112x112 memory) {\r\n require(other._x > 0, 'FixedPoint::divuq: division by zero');\r\n if (self._x == other._x) {\r\n return uq112x112(uint224(Q112));\r\n }\r\n if (self._x <= uint144(-1)) {\r\n uint256 value = (uint256(self._x) << RESOLUTION) / other._x;\r\n require(value <= uint224(-1), 'FixedPoint::divuq: overflow');\r\n return uq112x112(uint224(value));\r\n }\r\n\r\n uint256 result = FullMath.mulDiv(Q112, self._x, other._x);\r\n require(result <= uint224(-1), 'FixedPoint::divuq: overflow');\r\n return uq112x112(uint224(result));\r\n }\r\n\r\n // returns a UQ112x112 which represents the ratio of the numerator to the denominator\r\n // can be lossy\r\n function fraction(uint256 numerator, uint256 denominator) internal pure returns (uq112x112 memory) {\r\n require(denominator > 0, 'FixedPoint::fraction: division by zero');\r\n if (numerator == 0) return FixedPoint.uq112x112(0);\r\n\r\n if (numerator <= uint144(-1)) {\r\n uint256 result = (numerator << RESOLUTION) / denominator;\r\n require(result <= uint224(-1), 'FixedPoint::fraction: overflow');\r\n return uq112x112(uint224(result));\r\n } else {\r\n uint256 result = FullMath.mulDiv(numerator, Q112, denominator);\r\n require(result <= uint224(-1), 'FixedPoint::fraction: overflow');\r\n return uq112x112(uint224(result));\r\n }\r\n }\r\n\r\n // take the reciprocal of a UQ112x112\r\n // reverts on overflow\r\n // lossy\r\n function reciprocal(uq112x112 memory self) internal pure returns (uq112x112 memory) {\r\n require(self._x != 0, 'FixedPoint::reciprocal: reciprocal of zero');\r\n require(self._x != 1, 'FixedPoint::reciprocal: overflow');\r\n return uq112x112(uint224(Q224 / self._x));\r\n }\r\n\r\n // square root of a UQ112x112\r\n // lossy between 0/1 and 40 bits\r\n function sqrt(uq112x112 memory self) internal pure returns (uq112x112 memory) {\r\n if (self._x <= uint144(-1)) {\r\n return uq112x112(uint224(Babylonian.sqrt(uint256(self._x) << 112)));\r\n }\r\n\r\n uint8 safeShiftBits = 255 - BitMath.mostSignificantBit(self._x);\r\n safeShiftBits -= safeShiftBits % 2;\r\n return uq112x112(uint224(Babylonian.sqrt(uint256(self._x) << safeShiftBits) << ((112 - safeShiftBits) / 2)));\r\n }\r\n}\r\n", "sourcePath": "@windfallswap/lib/contracts/libraries/FixedPoint.sol", "ast": { "absolutePath": "@windfallswap/lib/contracts/libraries/FixedPoint.sol", "exportedSymbols": { "FixedPoint": [ 6262 ] }, "id": 6263, "nodeType": "SourceUnit", "nodes": [ { "id": 5635, "literals": [ "solidity", ">=", "0.4", ".0" ], "nodeType": "PragmaDirective", "src": "46:24:17" }, { "absolutePath": "@windfallswap/lib/contracts/libraries/FullMath.sol", "file": "./FullMath.sol", "id": 5636, "nodeType": "ImportDirective", "scope": 6263, "sourceUnit": 6484, "src": "74:24:17", "symbolAliases": [], "unitAlias": "" }, { 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