snsd0805/Credit-Card-System-smartcontract
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity
071266af56
Credit-Card-System-smartcon.../build/contracts/Math.json
snsd0805 9bd872d7d4
feat: On Chain ERC721
2023-06-04 19:59:46 +08:00

11708 lines
526 KiB
JSON
Raw Blame History

{
"contractName": "Math",
"abi": [],
"metadata": "{\"compiler\":{\"version\":\"0.8.19+commit.7dd6d404\"},\"language\":\"Solidity\",\"output\":{\"abi\":[],\"devdoc\":{\"details\":\"Standard math utilities missing in the Solidity language.\",\"kind\":\"dev\",\"methods\":{},\"version\":1},\"userdoc\":{\"kind\":\"user\",\"methods\":{},\"version\":1}},\"settings\":{\"compilationTarget\":{\"@openzeppelin/contracts/utils/math/Math.sol\":\"Math\"},\"evmVersion\":\"paris\",\"libraries\":{},\"metadata\":{\"bytecodeHash\":\"ipfs\"},\"optimizer\":{\"enabled\":false,\"runs\":200},\"remappings\":[]},\"sources\":{\"@openzeppelin/contracts/utils/math/Math.sol\":{\"keccak256\":\"0xe4455ac1eb7fc497bb7402579e7b4d64d928b846fce7d2b6fde06d366f21c2b3\",\"license\":\"MIT\",\"urls\":[\"bzz-raw://cc8841b3cd48ad125e2f46323c8bad3aa0e88e399ec62acb9e57efa7e7c8058c\",\"dweb:/ipfs/QmSqE4mXHA2BXW58deDbXE8MTcsL5JSKNDbm23sVQxRLPS\"]}},\"version\":1}",
"bytecode": "0x60566050600b82828239805160001a6073146043577f4e487b7100000000000000000000000000000000000000000000000000000000600052600060045260246000fd5b30600052607381538281f3fe73000000000000000000000000000000000000000030146080604052600080fdfea2646970667358221220e43ca308c8369fc15a2001a17a85cff4ee9a28330f9ae1e7ff2b25f2c22eb12f64736f6c63430008130033",
"deployedBytecode": "0x73000000000000000000000000000000000000000030146080604052600080fdfea2646970667358221220e43ca308c8369fc15a2001a17a85cff4ee9a28330f9ae1e7ff2b25f2c22eb12f64736f6c63430008130033",
"immutableReferences": {},
"generatedSources": [],
"deployedGeneratedSources": [],
"sourceMap": "202:12582:11:-:0;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;",
"deployedSourceMap": "202:12582:11:-:0;;;;;;;;",
"source": "// SPDX-License-Identifier: MIT\n// OpenZeppelin Contracts (last updated v4.9.0) (utils/math/Math.sol)\n\npragma solidity ^0.8.0;\n\n/**\n * @dev Standard math utilities missing in the Solidity language.\n */\nlibrary Math {\n enum Rounding {\n Down, // Toward negative infinity\n Up, // Toward infinity\n Zero // Toward zero\n }\n\n /**\n * @dev Returns the largest of two numbers.\n */\n function max(uint256 a, uint256 b) internal pure returns (uint256) {\n return a > b ? a : b;\n }\n\n /**\n * @dev Returns the smallest of two numbers.\n */\n function min(uint256 a, uint256 b) internal pure returns (uint256) {\n return a < b ? a : b;\n }\n\n /**\n * @dev Returns the average of two numbers. The result is rounded towards\n * zero.\n */\n function average(uint256 a, uint256 b) internal pure returns (uint256) {\n // (a + b) / 2 can overflow.\n return (a & b) + (a ^ b) / 2;\n }\n\n /**\n * @dev Returns the ceiling of the division of two numbers.\n *\n * This differs from standard division with `/` in that it rounds up instead\n * of rounding down.\n */\n function ceilDiv(uint256 a, uint256 b) internal pure returns (uint256) {\n // (a + b - 1) / b can overflow on addition, so we distribute.\n return a == 0 ? 0 : (a - 1) / b + 1;\n }\n\n /**\n * @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0\n * @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)\n * with further edits by Uniswap Labs also under MIT license.\n */\n function mulDiv(uint256 x, uint256 y, uint256 denominator) internal pure returns (uint256 result) {\n unchecked {\n // 512-bit multiply [prod1 prod0] = x * y. Compute the product mod 2^256 and mod 2^256 - 1, then use\n // use the Chinese Remainder Theorem to reconstruct the 512 bit result. The result is stored in two 256\n // variables such that product = prod1 * 2^256 + prod0.\n uint256 prod0; // Least significant 256 bits of the product\n uint256 prod1; // Most significant 256 bits of the product\n assembly {\n let mm := mulmod(x, y, not(0))\n prod0 := mul(x, y)\n prod1 := sub(sub(mm, prod0), lt(mm, prod0))\n }\n\n // Handle non-overflow cases, 256 by 256 division.\n if (prod1 == 0) {\n // Solidity will revert if denominator == 0, unlike the div opcode on its own.\n // The surrounding unchecked block does not change this fact.\n // See https://docs.soliditylang.org/en/latest/control-structures.html#checked-or-unchecked-arithmetic.\n return prod0 / denominator;\n }\n\n // Make sure the result is less than 2^256. Also prevents denominator == 0.\n require(denominator > prod1, \"Math: mulDiv overflow\");\n\n ///////////////////////////////////////////////\n // 512 by 256 division.\n ///////////////////////////////////////////////\n\n // Make division exact by subtracting the remainder from [prod1 prod0].\n uint256 remainder;\n assembly {\n // Compute remainder using mulmod.\n remainder := mulmod(x, y, denominator)\n\n // Subtract 256 bit number from 512 bit number.\n prod1 := sub(prod1, gt(remainder, prod0))\n prod0 := sub(prod0, remainder)\n }\n\n // Factor powers of two out of denominator and compute largest power of two divisor of denominator. Always >= 1.\n // See https://cs.stackexchange.com/q/138556/92363.\n\n // Does not overflow because the denominator cannot be zero at this stage in the function.\n uint256 twos = denominator & (~denominator + 1);\n assembly {\n // Divide denominator by twos.\n denominator := div(denominator, twos)\n\n // Divide [prod1 prod0] by twos.\n prod0 := div(prod0, twos)\n\n // Flip twos such that it is 2^256 / twos. If twos is zero, then it becomes one.\n twos := add(div(sub(0, twos), twos), 1)\n }\n\n // Shift in bits from prod1 into prod0.\n prod0 |= prod1 * twos;\n\n // Invert denominator mod 2^256. Now that denominator is an odd number, it has an inverse modulo 2^256 such\n // that denominator * inv = 1 mod 2^256. Compute the inverse by starting with a seed that is correct for\n // four bits. That is, denominator * inv = 1 mod 2^4.\n uint256 inverse = (3 * denominator) ^ 2;\n\n // Use the Newton-Raphson iteration to improve the precision. Thanks to Hensel's lifting lemma, this also works\n // in modular arithmetic, doubling the correct bits in each step.\n inverse *= 2 - denominator * inverse; // inverse mod 2^8\n inverse *= 2 - denominator * inverse; // inverse mod 2^16\n inverse *= 2 - denominator * inverse; // inverse mod 2^32\n inverse *= 2 - denominator * inverse; // inverse mod 2^64\n inverse *= 2 - denominator * inverse; // inverse mod 2^128\n inverse *= 2 - denominator * inverse; // inverse mod 2^256\n\n // Because the division is now exact we can divide by multiplying with the modular inverse of denominator.\n // This will give us the correct result modulo 2^256. Since the preconditions guarantee that the outcome is\n // less than 2^256, this is the final result. We don't need to compute the high bits of the result and prod1\n // is no longer required.\n result = prod0 * inverse;\n return result;\n }\n }\n\n /**\n * @notice Calculates x * y / denominator with full precision, following the selected rounding direction.\n */\n function mulDiv(uint256 x, uint256 y, uint256 denominator, Rounding rounding) internal pure returns (uint256) {\n uint256 result = mulDiv(x, y, denominator);\n if (rounding == Rounding.Up && mulmod(x, y, denominator) > 0) {\n result += 1;\n }\n return result;\n }\n\n /**\n * @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.\n *\n * Inspired by Henry S. Warren, Jr.'s \"Hacker's Delight\" (Chapter 11).\n */\n function sqrt(uint256 a) internal pure returns (uint256) {\n if (a == 0) {\n return 0;\n }\n\n // For our first guess, we get the biggest power of 2 which is smaller than the square root of the target.\n //\n // We know that the \"msb\" (most significant bit) of our target number `a` is a power of 2 such that we have\n // `msb(a) <= a < 2*msb(a)`. This value can be written `msb(a)=2**k` with `k=log2(a)`.\n //\n // This can be rewritten `2**log2(a) <= a < 2**(log2(a) + 1)`\n // → `sqrt(2**k) <= sqrt(a) < sqrt(2**(k+1))`\n // → `2**(k/2) <= sqrt(a) < 2**((k+1)/2) <= 2**(k/2 + 1)`\n //\n // Consequently, `2**(log2(a) / 2)` is a good first approximation of `sqrt(a)` with at least 1 correct bit.\n uint256 result = 1 << (log2(a) >> 1);\n\n // At this point `result` is an estimation with one bit of precision. We know the true value is a uint128,\n // since it is the square root of a uint256. Newton's method converges quadratically (precision doubles at\n // every iteration). We thus need at most 7 iteration to turn our partial result with one bit of precision\n // into the expected uint128 result.\n unchecked {\n result = (result + a / result) >> 1;\n result = (result + a / result) >> 1;\n result = (result + a / result) >> 1;\n result = (result + a / result) >> 1;\n result = (result + a / result) >> 1;\n result = (result + a / result) >> 1;\n result = (result + a / result) >> 1;\n return min(result, a / result);\n }\n }\n\n /**\n * @notice Calculates sqrt(a), following the selected rounding direction.\n */\n function sqrt(uint256 a, Rounding rounding) internal pure returns (uint256) {\n unchecked {\n uint256 result = sqrt(a);\n return result + (rounding == Rounding.Up && result * result < a ? 1 : 0);\n }\n }\n\n /**\n * @dev Return the log in base 2, rounded down, of a positive value.\n * Returns 0 if given 0.\n */\n function log2(uint256 value) internal pure returns (uint256) {\n uint256 result = 0;\n unchecked {\n if (value >> 128 > 0) {\n value >>= 128;\n result += 128;\n }\n if (value >> 64 > 0) {\n value >>= 64;\n result += 64;\n }\n if (value >> 32 > 0) {\n value >>= 32;\n result += 32;\n }\n if (value >> 16 > 0) {\n value >>= 16;\n result += 16;\n }\n if (value >> 8 > 0) {\n value >>= 8;\n result += 8;\n }\n if (value >> 4 > 0) {\n value >>= 4;\n result += 4;\n }\n if (value >> 2 > 0) {\n value >>= 2;\n result += 2;\n }\n if (value >> 1 > 0) {\n result += 1;\n }\n }\n return result;\n }\n\n /**\n * @dev Return the log in base 2, following the selected rounding direction, of a positive value.\n * Returns 0 if given 0.\n */\n function log2(uint256 value, Rounding rounding) internal pure returns (uint256) {\n unchecked {\n uint256 result = log2(value);\n return result + (rounding == Rounding.Up && 1 << result < value ? 1 : 0);\n }\n }\n\n /**\n * @dev Return the log in base 10, rounded down, of a positive value.\n * Returns 0 if given 0.\n */\n function log10(uint256 value) internal pure returns (uint256) {\n uint256 result = 0;\n unchecked {\n if (value >= 10 ** 64) {\n value /= 10 ** 64;\n result += 64;\n }\n if (value >= 10 ** 32) {\n value /= 10 ** 32;\n result += 32;\n }\n if (value >= 10 ** 16) {\n value /= 10 ** 16;\n result += 16;\n }\n if (value >= 10 ** 8) {\n value /= 10 ** 8;\n result += 8;\n }\n if (value >= 10 ** 4) {\n value /= 10 ** 4;\n result += 4;\n }\n if (value >= 10 ** 2) {\n value /= 10 ** 2;\n result += 2;\n }\n if (value >= 10 ** 1) {\n result += 1;\n }\n }\n return result;\n }\n\n /**\n * @dev Return the log in base 10, following the selected rounding direction, of a positive value.\n * Returns 0 if given 0.\n */\n function log10(uint256 value, Rounding rounding) internal pure returns (uint256) {\n unchecked {\n uint256 result = log10(value);\n return result + (rounding == Rounding.Up && 10 ** result < value ? 1 : 0);\n }\n }\n\n /**\n * @dev Return the log in base 256, rounded down, of a positive value.\n * Returns 0 if given 0.\n *\n * Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string.\n */\n function log256(uint256 value) internal pure returns (uint256) {\n uint256 result = 0;\n unchecked {\n if (value >> 128 > 0) {\n value >>= 128;\n result += 16;\n }\n if (value >> 64 > 0) {\n value >>= 64;\n result += 8;\n }\n if (value >> 32 > 0) {\n value >>= 32;\n result += 4;\n }\n if (value >> 16 > 0) {\n value >>= 16;\n result += 2;\n }\n if (value >> 8 > 0) {\n result += 1;\n }\n }\n return result;\n }\n\n /**\n * @dev Return the log in base 256, following the selected rounding direction, of a positive value.\n * Returns 0 if given 0.\n */\n function log256(uint256 value, Rounding rounding) internal pure returns (uint256) {\n unchecked {\n uint256 result = log256(value);\n return result + (rounding == Rounding.Up && 1 << (result << 3) < value ? 1 : 0);\n }\n }\n}\n",
"sourcePath": "@openzeppelin/contracts/utils/math/Math.sol",
"ast": {
"absolutePath": "@openzeppelin/contracts/utils/math/Math.sol",
"exportedSymbols": {
"Math": [
2691
]
},
"id": 2692,
"license": "MIT",
"nodeType": "SourceUnit",
"nodes": [
{
"id": 1827,
"literals": [
"solidity",
"^",
"0.8",
".0"
],
"nodeType": "PragmaDirective",
"src": "103:23:11"
},
{
"abstract": false,
"baseContracts": [],
"canonicalName": "Math",
"contractDependencies": [],
"contractKind": "library",
"documentation": {
"id": 1828,
"nodeType": "StructuredDocumentation",
"src": "128:73:11",
"text": " @dev Standard math utilities missing in the Solidity language."
},
"fullyImplemented": true,
"id": 2691,
"linearizedBaseContracts": [
2691
],
"name": "Math",
"nameLocation": "210:4:11",
"nodeType": "ContractDefinition",
"nodes": [
{
"canonicalName": "Math.Rounding",
"id": 1832,
"members": [
{
"id": 1829,
"name": "Down",
"nameLocation": "245:4:11",
"nodeType": "EnumValue",
"src": "245:4:11"
},
{
"id": 1830,
"name": "Up",
"nameLocation": "287:2:11",
"nodeType": "EnumValue",
"src": "287:2:11"
},
{
"id": 1831,
"name": "Zero",
"nameLocation": "318:4:11",
"nodeType": "EnumValue",
"src": "318:4:11"
}
],
"name": "Rounding",
"nameLocation": "226:8:11",
"nodeType": "EnumDefinition",
"src": "221:122:11"
},
{
"body": {
"id": 1849,
"nodeType": "Block",
"src": "480:37:11",
"statements": [
{
"expression": {
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1844,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1842,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1835,
"src": "497:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"id": 1843,
"name": "b",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1837,
"src": "501:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "497:5:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"falseExpression": {
"id": 1846,
"name": "b",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1837,
"src": "509:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 1847,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "Conditional",
"src": "497:13:11",
"trueExpression": {
"id": 1845,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1835,
"src": "505:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 1841,
"id": 1848,
"nodeType": "Return",
"src": "490:20:11"
}
]
},
"documentation": {
"id": 1833,
"nodeType": "StructuredDocumentation",
"src": "349:59:11",
"text": " @dev Returns the largest of two numbers."
},
"id": 1850,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "max",
"nameLocation": "422:3:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 1838,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 1835,
"mutability": "mutable",
"name": "a",
"nameLocation": "434:1:11",
"nodeType": "VariableDeclaration",
"scope": 1850,
"src": "426:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1834,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "426:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 1837,
"mutability": "mutable",
"name": "b",
"nameLocation": "445:1:11",
"nodeType": "VariableDeclaration",
"scope": 1850,
"src": "437:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1836,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "437:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "425:22:11"
},
"returnParameters": {
"id": 1841,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 1840,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 1850,
"src": "471:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1839,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "471:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "470:9:11"
},
"scope": 2691,
"src": "413:104:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 1867,
"nodeType": "Block",
"src": "655:37:11",
"statements": [
{
"expression": {
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1862,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1860,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1853,
"src": "672:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "<",
"rightExpression": {
"id": 1861,
"name": "b",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1855,
"src": "676:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "672:5:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"falseExpression": {
"id": 1864,
"name": "b",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1855,
"src": "684:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 1865,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "Conditional",
"src": "672:13:11",
"trueExpression": {
"id": 1863,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1853,
"src": "680:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 1859,
"id": 1866,
"nodeType": "Return",
"src": "665:20:11"
}
]
},
"documentation": {
"id": 1851,
"nodeType": "StructuredDocumentation",
"src": "523:60:11",
"text": " @dev Returns the smallest of two numbers."
},
"id": 1868,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "min",
"nameLocation": "597:3:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 1856,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 1853,
"mutability": "mutable",
"name": "a",
"nameLocation": "609:1:11",
"nodeType": "VariableDeclaration",
"scope": 1868,
"src": "601:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1852,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "601:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 1855,
"mutability": "mutable",
"name": "b",
"nameLocation": "620:1:11",
"nodeType": "VariableDeclaration",
"scope": 1868,
"src": "612:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1854,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "612:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "600:22:11"
},
"returnParameters": {
"id": 1859,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 1858,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 1868,
"src": "646:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1857,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "646:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "645:9:11"
},
"scope": 2691,
"src": "588:104:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 1890,
"nodeType": "Block",
"src": "876:82:11",
"statements": [
{
"expression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1888,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1880,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1878,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1871,
"src": "931:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "&",
"rightExpression": {
"id": 1879,
"name": "b",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1873,
"src": "935:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "931:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 1881,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "930:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1887,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1884,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1882,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1871,
"src": "941:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "^",
"rightExpression": {
"id": 1883,
"name": "b",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1873,
"src": "945:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "941:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 1885,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "940:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "/",
"rightExpression": {
"hexValue": "32",
"id": 1886,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "950:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"src": "940:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "930:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 1877,
"id": 1889,
"nodeType": "Return",
"src": "923:28:11"
}
]
},
"documentation": {
"id": 1869,
"nodeType": "StructuredDocumentation",
"src": "698:102:11",
"text": " @dev Returns the average of two numbers. The result is rounded towards\n zero."
},
"id": 1891,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "average",
"nameLocation": "814:7:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 1874,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 1871,
"mutability": "mutable",
"name": "a",
"nameLocation": "830:1:11",
"nodeType": "VariableDeclaration",
"scope": 1891,
"src": "822:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1870,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "822:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 1873,
"mutability": "mutable",
"name": "b",
"nameLocation": "841:1:11",
"nodeType": "VariableDeclaration",
"scope": 1891,
"src": "833:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1872,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "833:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "821:22:11"
},
"returnParameters": {
"id": 1877,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 1876,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 1891,
"src": "867:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1875,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "867:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "866:9:11"
},
"scope": 2691,
"src": "805:153:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 1915,
"nodeType": "Block",
"src": "1228:123:11",
"statements": [
{
"expression": {
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1903,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1901,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1894,
"src": "1316:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "==",
"rightExpression": {
"hexValue": "30",
"id": 1902,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "1321:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "1316:6:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"falseExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1912,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1910,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1907,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1905,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1894,
"src": "1330:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "-",
"rightExpression": {
"hexValue": "31",
"id": 1906,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "1334:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "1330:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 1908,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "1329:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "/",
"rightExpression": {
"id": 1909,
"name": "b",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1896,
"src": "1339:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "1329:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"hexValue": "31",
"id": 1911,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "1343:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "1329:15:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 1913,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "Conditional",
"src": "1316:28:11",
"trueExpression": {
"hexValue": "30",
"id": 1904,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "1325:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 1900,
"id": 1914,
"nodeType": "Return",
"src": "1309:35:11"
}
]
},
"documentation": {
"id": 1892,
"nodeType": "StructuredDocumentation",
"src": "964:188:11",
"text": " @dev Returns the ceiling of the division of two numbers.\n This differs from standard division with `/` in that it rounds up instead\n of rounding down."
},
"id": 1916,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "ceilDiv",
"nameLocation": "1166:7:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 1897,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 1894,
"mutability": "mutable",
"name": "a",
"nameLocation": "1182:1:11",
"nodeType": "VariableDeclaration",
"scope": 1916,
"src": "1174:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1893,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "1174:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 1896,
"mutability": "mutable",
"name": "b",
"nameLocation": "1193:1:11",
"nodeType": "VariableDeclaration",
"scope": 1916,
"src": "1185:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1895,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "1185:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "1173:22:11"
},
"returnParameters": {
"id": 1900,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 1899,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 1916,
"src": "1219:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1898,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "1219:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "1218:9:11"
},
"scope": 2691,
"src": "1157:194:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 2038,
"nodeType": "Block",
"src": "1765:4115:11",
"statements": [
{
"id": 2037,
"nodeType": "UncheckedBlock",
"src": "1775:4099:11",
"statements": [
{
"assignments": [
1929
],
"declarations": [
{
"constant": false,
"id": 1929,
"mutability": "mutable",
"name": "prod0",
"nameLocation": "2104:5:11",
"nodeType": "VariableDeclaration",
"scope": 2037,
"src": "2096:13:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1928,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "2096:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 1930,
"nodeType": "VariableDeclarationStatement",
"src": "2096:13:11"
},
{
"assignments": [
1932
],
"declarations": [
{
"constant": false,
"id": 1932,
"mutability": "mutable",
"name": "prod1",
"nameLocation": "2176:5:11",
"nodeType": "VariableDeclaration",
"scope": 2037,
"src": "2168:13:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1931,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "2168:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 1933,
"nodeType": "VariableDeclarationStatement",
"src": "2168:13:11"
},
{
"AST": {
"nodeType": "YulBlock",
"src": "2248:157:11",
"statements": [
{
"nodeType": "YulVariableDeclaration",
"src": "2266:30:11",
"value": {
"arguments": [
{
"name": "x",
"nodeType": "YulIdentifier",
"src": "2283:1:11"
},
{
"name": "y",
"nodeType": "YulIdentifier",
"src": "2286:1:11"
},
{
"arguments": [
{
"kind": "number",
"nodeType": "YulLiteral",
"src": "2293:1:11",
"type": "",
"value": "0"
}
],
"functionName": {
"name": "not",
"nodeType": "YulIdentifier",
"src": "2289:3:11"
},
"nodeType": "YulFunctionCall",
"src": "2289:6:11"
}
],
"functionName": {
"name": "mulmod",
"nodeType": "YulIdentifier",
"src": "2276:6:11"
},
"nodeType": "YulFunctionCall",
"src": "2276:20:11"
},
"variables": [
{
"name": "mm",
"nodeType": "YulTypedName",
"src": "2270:2:11",
"type": ""
}
]
},
{
"nodeType": "YulAssignment",
"src": "2313:18:11",
"value": {
"arguments": [
{
"name": "x",
"nodeType": "YulIdentifier",
"src": "2326:1:11"
},
{
"name": "y",
"nodeType": "YulIdentifier",
"src": "2329:1:11"
}
],
"functionName": {
"name": "mul",
"nodeType": "YulIdentifier",
"src": "2322:3:11"
},
"nodeType": "YulFunctionCall",
"src": "2322:9:11"
},
"variableNames": [
{
"name": "prod0",
"nodeType": "YulIdentifier",
"src": "2313:5:11"
}
]
},
{
"nodeType": "YulAssignment",
"src": "2348:43:11",
"value": {
"arguments": [
{
"arguments": [
{
"name": "mm",
"nodeType": "YulIdentifier",
"src": "2365:2:11"
},
{
"name": "prod0",
"nodeType": "YulIdentifier",
"src": "2369:5:11"
}
],
"functionName": {
"name": "sub",
"nodeType": "YulIdentifier",
"src": "2361:3:11"
},
"nodeType": "YulFunctionCall",
"src": "2361:14:11"
},
{
"arguments": [
{
"name": "mm",
"nodeType": "YulIdentifier",
"src": "2380:2:11"
},
{
"name": "prod0",
"nodeType": "YulIdentifier",
"src": "2384:5:11"
}
],
"functionName": {
"name": "lt",
"nodeType": "YulIdentifier",
"src": "2377:2:11"
},
"nodeType": "YulFunctionCall",
"src": "2377:13:11"
}
],
"functionName": {
"name": "sub",
"nodeType": "YulIdentifier",
"src": "2357:3:11"
},
"nodeType": "YulFunctionCall",
"src": "2357:34:11"
},
"variableNames": [
{
"name": "prod1",
"nodeType": "YulIdentifier",
"src": "2348:5:11"
}
]
}
]
},
"evmVersion": "paris",
"externalReferences": [
{
"declaration": 1929,
"isOffset": false,
"isSlot": false,
"src": "2313:5:11",
"valueSize": 1
},
{
"declaration": 1929,
"isOffset": false,
"isSlot": false,
"src": "2369:5:11",
"valueSize": 1
},
{
"declaration": 1929,
"isOffset": false,
"isSlot": false,
"src": "2384:5:11",
"valueSize": 1
},
{
"declaration": 1932,
"isOffset": false,
"isSlot": false,
"src": "2348:5:11",
"valueSize": 1
},
{
"declaration": 1919,
"isOffset": false,
"isSlot": false,
"src": "2283:1:11",
"valueSize": 1
},
{
"declaration": 1919,
"isOffset": false,
"isSlot": false,
"src": "2326:1:11",
"valueSize": 1
},
{
"declaration": 1921,
"isOffset": false,
"isSlot": false,
"src": "2286:1:11",
"valueSize": 1
},
{
"declaration": 1921,
"isOffset": false,
"isSlot": false,
"src": "2329:1:11",
"valueSize": 1
}
],
"id": 1934,
"nodeType": "InlineAssembly",
"src": "2239:166:11"
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1937,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1935,
"name": "prod1",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1932,
"src": "2486:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "==",
"rightExpression": {
"hexValue": "30",
"id": 1936,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "2495:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "2486:10:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 1943,
"nodeType": "IfStatement",
"src": "2482:368:11",
"trueBody": {
"id": 1942,
"nodeType": "Block",
"src": "2498:352:11",
"statements": [
{
"expression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1940,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1938,
"name": "prod0",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1929,
"src": "2816:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "/",
"rightExpression": {
"id": 1939,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1923,
"src": "2824:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "2816:19:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 1927,
"id": 1941,
"nodeType": "Return",
"src": "2809:26:11"
}
]
}
},
{
"expression": {
"arguments": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1947,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1945,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1923,
"src": "2960:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"id": 1946,
"name": "prod1",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1932,
"src": "2974:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "2960:19:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
{
"hexValue": "4d6174683a206d756c446976206f766572666c6f77",
"id": 1948,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "string",
"lValueRequested": false,
"nodeType": "Literal",
"src": "2981:23:11",
"typeDescriptions": {
"typeIdentifier": "t_stringliteral_d87093691d63b122ac2c14d1b11554b287e2431cf2b03550b3be7cffb0f86851",
"typeString": "literal_string \"Math: mulDiv overflow\""
},
"value": "Math: mulDiv overflow"
}
],
"expression": {
"argumentTypes": [
{
"typeIdentifier": "t_bool",
"typeString": "bool"
},
{
"typeIdentifier": "t_stringliteral_d87093691d63b122ac2c14d1b11554b287e2431cf2b03550b3be7cffb0f86851",
"typeString": "literal_string \"Math: mulDiv overflow\""
}
],
"id": 1944,
"name": "require",
"nodeType": "Identifier",
"overloadedDeclarations": [
4294967278,
4294967278
],
"referencedDeclaration": 4294967278,
"src": "2952:7:11",
"typeDescriptions": {
"typeIdentifier": "t_function_require_pure$_t_bool_$_t_string_memory_ptr_$returns$__$",
"typeString": "function (bool,string memory) pure"
}
},
"id": 1949,
"isConstant": false,
"isLValue": false,
"isPure": false,
"kind": "functionCall",
"lValueRequested": false,
"nameLocations": [],
"names": [],
"nodeType": "FunctionCall",
"src": "2952:53:11",
"tryCall": false,
"typeDescriptions": {
"typeIdentifier": "t_tuple$__$",
"typeString": "tuple()"
}
},
"id": 1950,
"nodeType": "ExpressionStatement",
"src": "2952:53:11"
},
{
"assignments": [
1952
],
"declarations": [
{
"constant": false,
"id": 1952,
"mutability": "mutable",
"name": "remainder",
"nameLocation": "3269:9:11",
"nodeType": "VariableDeclaration",
"scope": 2037,
"src": "3261:17:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1951,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "3261:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 1953,
"nodeType": "VariableDeclarationStatement",
"src": "3261:17:11"
},
{
"AST": {
"nodeType": "YulBlock",
"src": "3301:291:11",
"statements": [
{
"nodeType": "YulAssignment",
"src": "3370:38:11",
"value": {
"arguments": [
{
"name": "x",
"nodeType": "YulIdentifier",
"src": "3390:1:11"
},
{
"name": "y",
"nodeType": "YulIdentifier",
"src": "3393:1:11"
},
{
"name": "denominator",
"nodeType": "YulIdentifier",
"src": "3396:11:11"
}
],
"functionName": {
"name": "mulmod",
"nodeType": "YulIdentifier",
"src": "3383:6:11"
},
"nodeType": "YulFunctionCall",
"src": "3383:25:11"
},
"variableNames": [
{
"name": "remainder",
"nodeType": "YulIdentifier",
"src": "3370:9:11"
}
]
},
{
"nodeType": "YulAssignment",
"src": "3490:41:11",
"value": {
"arguments": [
{
"name": "prod1",
"nodeType": "YulIdentifier",
"src": "3503:5:11"
},
{
"arguments": [
{
"name": "remainder",
"nodeType": "YulIdentifier",
"src": "3513:9:11"
},
{
"name": "prod0",
"nodeType": "YulIdentifier",
"src": "3524:5:11"
}
],
"functionName": {
"name": "gt",
"nodeType": "YulIdentifier",
"src": "3510:2:11"
},
"nodeType": "YulFunctionCall",
"src": "3510:20:11"
}
],
"functionName": {
"name": "sub",
"nodeType": "YulIdentifier",
"src": "3499:3:11"
},
"nodeType": "YulFunctionCall",
"src": "3499:32:11"
},
"variableNames": [
{
"name": "prod1",
"nodeType": "YulIdentifier",
"src": "3490:5:11"
}
]
},
{
"nodeType": "YulAssignment",
"src": "3548:30:11",
"value": {
"arguments": [
{
"name": "prod0",
"nodeType": "YulIdentifier",
"src": "3561:5:11"
},
{
"name": "remainder",
"nodeType": "YulIdentifier",
"src": "3568:9:11"
}
],
"functionName": {
"name": "sub",
"nodeType": "YulIdentifier",
"src": "3557:3:11"
},
"nodeType": "YulFunctionCall",
"src": "3557:21:11"
},
"variableNames": [
{
"name": "prod0",
"nodeType": "YulIdentifier",
"src": "3548:5:11"
}
]
}
]
},
"evmVersion": "paris",
"externalReferences": [
{
"declaration": 1923,
"isOffset": false,
"isSlot": false,
"src": "3396:11:11",
"valueSize": 1
},
{
"declaration": 1929,
"isOffset": false,
"isSlot": false,
"src": "3524:5:11",
"valueSize": 1
},
{
"declaration": 1929,
"isOffset": false,
"isSlot": false,
"src": "3548:5:11",
"valueSize": 1
},
{
"declaration": 1929,
"isOffset": false,
"isSlot": false,
"src": "3561:5:11",
"valueSize": 1
},
{
"declaration": 1932,
"isOffset": false,
"isSlot": false,
"src": "3490:5:11",
"valueSize": 1
},
{
"declaration": 1932,
"isOffset": false,
"isSlot": false,
"src": "3503:5:11",
"valueSize": 1
},
{
"declaration": 1952,
"isOffset": false,
"isSlot": false,
"src": "3370:9:11",
"valueSize": 1
},
{
"declaration": 1952,
"isOffset": false,
"isSlot": false,
"src": "3513:9:11",
"valueSize": 1
},
{
"declaration": 1952,
"isOffset": false,
"isSlot": false,
"src": "3568:9:11",
"valueSize": 1
},
{
"declaration": 1919,
"isOffset": false,
"isSlot": false,
"src": "3390:1:11",
"valueSize": 1
},
{
"declaration": 1921,
"isOffset": false,
"isSlot": false,
"src": "3393:1:11",
"valueSize": 1
}
],
"id": 1954,
"nodeType": "InlineAssembly",
"src": "3292:300:11"
},
{
"assignments": [
1956
],
"declarations": [
{
"constant": false,
"id": 1956,
"mutability": "mutable",
"name": "twos",
"nameLocation": "3907:4:11",
"nodeType": "VariableDeclaration",
"scope": 2037,
"src": "3899:12:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1955,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "3899:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 1964,
"initialValue": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1963,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1957,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1923,
"src": "3914:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "&",
"rightExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1961,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1959,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "UnaryOperation",
"operator": "~",
"prefix": true,
"src": "3929:12:11",
"subExpression": {
"id": 1958,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1923,
"src": "3930:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"hexValue": "31",
"id": 1960,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "3944:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "3929:16:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 1962,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "3928:18:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "3914:32:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "VariableDeclarationStatement",
"src": "3899:47:11"
},
{
"AST": {
"nodeType": "YulBlock",
"src": "3969:362:11",
"statements": [
{
"nodeType": "YulAssignment",
"src": "4034:37:11",
"value": {
"arguments": [
{
"name": "denominator",
"nodeType": "YulIdentifier",
"src": "4053:11:11"
},
{
"name": "twos",
"nodeType": "YulIdentifier",
"src": "4066:4:11"
}
],
"functionName": {
"name": "div",
"nodeType": "YulIdentifier",
"src": "4049:3:11"
},
"nodeType": "YulFunctionCall",
"src": "4049:22:11"
},
"variableNames": [
{
"name": "denominator",
"nodeType": "YulIdentifier",
"src": "4034:11:11"
}
]
},
{
"nodeType": "YulAssignment",
"src": "4138:25:11",
"value": {
"arguments": [
{
"name": "prod0",
"nodeType": "YulIdentifier",
"src": "4151:5:11"
},
{
"name": "twos",
"nodeType": "YulIdentifier",
"src": "4158:4:11"
}
],
"functionName": {
"name": "div",
"nodeType": "YulIdentifier",
"src": "4147:3:11"
},
"nodeType": "YulFunctionCall",
"src": "4147:16:11"
},
"variableNames": [
{
"name": "prod0",
"nodeType": "YulIdentifier",
"src": "4138:5:11"
}
]
},
{
"nodeType": "YulAssignment",
"src": "4278:39:11",
"value": {
"arguments": [
{
"arguments": [
{
"arguments": [
{
"kind": "number",
"nodeType": "YulLiteral",
"src": "4298:1:11",
"type": "",
"value": "0"
},
{
"name": "twos",
"nodeType": "YulIdentifier",
"src": "4301:4:11"
}
],
"functionName": {
"name": "sub",
"nodeType": "YulIdentifier",
"src": "4294:3:11"
},
"nodeType": "YulFunctionCall",
"src": "4294:12:11"
},
{
"name": "twos",
"nodeType": "YulIdentifier",
"src": "4308:4:11"
}
],
"functionName": {
"name": "div",
"nodeType": "YulIdentifier",
"src": "4290:3:11"
},
"nodeType": "YulFunctionCall",
"src": "4290:23:11"
},
{
"kind": "number",
"nodeType": "YulLiteral",
"src": "4315:1:11",
"type": "",
"value": "1"
}
],
"functionName": {
"name": "add",
"nodeType": "YulIdentifier",
"src": "4286:3:11"
},
"nodeType": "YulFunctionCall",
"src": "4286:31:11"
},
"variableNames": [
{
"name": "twos",
"nodeType": "YulIdentifier",
"src": "4278:4:11"
}
]
}
]
},
"evmVersion": "paris",
"externalReferences": [
{
"declaration": 1923,
"isOffset": false,
"isSlot": false,
"src": "4034:11:11",
"valueSize": 1
},
{
"declaration": 1923,
"isOffset": false,
"isSlot": false,
"src": "4053:11:11",
"valueSize": 1
},
{
"declaration": 1929,
"isOffset": false,
"isSlot": false,
"src": "4138:5:11",
"valueSize": 1
},
{
"declaration": 1929,
"isOffset": false,
"isSlot": false,
"src": "4151:5:11",
"valueSize": 1
},
{
"declaration": 1956,
"isOffset": false,
"isSlot": false,
"src": "4066:4:11",
"valueSize": 1
},
{
"declaration": 1956,
"isOffset": false,
"isSlot": false,
"src": "4158:4:11",
"valueSize": 1
},
{
"declaration": 1956,
"isOffset": false,
"isSlot": false,
"src": "4278:4:11",
"valueSize": 1
},
{
"declaration": 1956,
"isOffset": false,
"isSlot": false,
"src": "4301:4:11",
"valueSize": 1
},
{
"declaration": 1956,
"isOffset": false,
"isSlot": false,
"src": "4308:4:11",
"valueSize": 1
}
],
"id": 1965,
"nodeType": "InlineAssembly",
"src": "3960:371:11"
},
{
"expression": {
"id": 1970,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 1966,
"name": "prod0",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1929,
"src": "4397:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "|=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1969,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1967,
"name": "prod1",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1932,
"src": "4406:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "*",
"rightExpression": {
"id": 1968,
"name": "twos",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1956,
"src": "4414:4:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "4406:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "4397:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 1971,
"nodeType": "ExpressionStatement",
"src": "4397:21:11"
},
{
"assignments": [
1973
],
"declarations": [
{
"constant": false,
"id": 1973,
"mutability": "mutable",
"name": "inverse",
"nameLocation": "4744:7:11",
"nodeType": "VariableDeclaration",
"scope": 2037,
"src": "4736:15:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1972,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "4736:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 1980,
"initialValue": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1979,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1976,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"hexValue": "33",
"id": 1974,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "4755:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_3_by_1",
"typeString": "int_const 3"
},
"value": "3"
},
"nodeType": "BinaryOperation",
"operator": "*",
"rightExpression": {
"id": 1975,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1923,
"src": "4759:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "4755:15:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 1977,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "4754:17:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "^",
"rightExpression": {
"hexValue": "32",
"id": 1978,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "4774:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"src": "4754:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "VariableDeclarationStatement",
"src": "4736:39:11"
},
{
"expression": {
"id": 1987,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 1981,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "4992:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "*=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1986,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"hexValue": "32",
"id": 1982,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "5003:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"nodeType": "BinaryOperation",
"operator": "-",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1985,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1983,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1923,
"src": "5007:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "*",
"rightExpression": {
"id": 1984,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5021:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5007:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5003:25:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "4992:36:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 1988,
"nodeType": "ExpressionStatement",
"src": "4992:36:11"
},
{
"expression": {
"id": 1995,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 1989,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5061:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "*=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1994,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"hexValue": "32",
"id": 1990,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "5072:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"nodeType": "BinaryOperation",
"operator": "-",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 1993,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1991,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1923,
"src": "5076:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "*",
"rightExpression": {
"id": 1992,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5090:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5076:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5072:25:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5061:36:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 1996,
"nodeType": "ExpressionStatement",
"src": "5061:36:11"
},
{
"expression": {
"id": 2003,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 1997,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5131:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "*=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2002,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"hexValue": "32",
"id": 1998,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "5142:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"nodeType": "BinaryOperation",
"operator": "-",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2001,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 1999,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1923,
"src": "5146:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "*",
"rightExpression": {
"id": 2000,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5160:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5146:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5142:25:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5131:36:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2004,
"nodeType": "ExpressionStatement",
"src": "5131:36:11"
},
{
"expression": {
"id": 2011,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2005,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5201:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "*=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2010,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"hexValue": "32",
"id": 2006,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "5212:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"nodeType": "BinaryOperation",
"operator": "-",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2009,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2007,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1923,
"src": "5216:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "*",
"rightExpression": {
"id": 2008,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5230:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5216:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5212:25:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5201:36:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2012,
"nodeType": "ExpressionStatement",
"src": "5201:36:11"
},
{
"expression": {
"id": 2019,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2013,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5271:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "*=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2018,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"hexValue": "32",
"id": 2014,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "5282:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"nodeType": "BinaryOperation",
"operator": "-",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2017,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2015,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1923,
"src": "5286:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "*",
"rightExpression": {
"id": 2016,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5300:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5286:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5282:25:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5271:36:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2020,
"nodeType": "ExpressionStatement",
"src": "5271:36:11"
},
{
"expression": {
"id": 2027,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2021,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5342:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "*=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2026,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"hexValue": "32",
"id": 2022,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "5353:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"nodeType": "BinaryOperation",
"operator": "-",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2025,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2023,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1923,
"src": "5357:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "*",
"rightExpression": {
"id": 2024,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5371:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5357:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5353:25:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5342:36:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2028,
"nodeType": "ExpressionStatement",
"src": "5342:36:11"
},
{
"expression": {
"id": 2033,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2029,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1926,
"src": "5812:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2032,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2030,
"name": "prod0",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1929,
"src": "5821:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "*",
"rightExpression": {
"id": 2031,
"name": "inverse",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1973,
"src": "5829:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5821:15:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "5812:24:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2034,
"nodeType": "ExpressionStatement",
"src": "5812:24:11"
},
{
"expression": {
"id": 2035,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1926,
"src": "5857:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 1927,
"id": 2036,
"nodeType": "Return",
"src": "5850:13:11"
}
]
}
]
},
"documentation": {
"id": 1917,
"nodeType": "StructuredDocumentation",
"src": "1357:305:11",
"text": " @notice Calculates floor(x * y / denominator) with full precision. Throws if result overflows a uint256 or denominator == 0\n @dev Original credit to Remco Bloemen under MIT license (https://xn--2-umb.com/21/muldiv)\n with further edits by Uniswap Labs also under MIT license."
},
"id": 2039,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "mulDiv",
"nameLocation": "1676:6:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 1924,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 1919,
"mutability": "mutable",
"name": "x",
"nameLocation": "1691:1:11",
"nodeType": "VariableDeclaration",
"scope": 2039,
"src": "1683:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1918,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "1683:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 1921,
"mutability": "mutable",
"name": "y",
"nameLocation": "1702:1:11",
"nodeType": "VariableDeclaration",
"scope": 2039,
"src": "1694:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1920,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "1694:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 1923,
"mutability": "mutable",
"name": "denominator",
"nameLocation": "1713:11:11",
"nodeType": "VariableDeclaration",
"scope": 2039,
"src": "1705:19:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1922,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "1705:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "1682:43:11"
},
"returnParameters": {
"id": 1927,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 1926,
"mutability": "mutable",
"name": "result",
"nameLocation": "1757:6:11",
"nodeType": "VariableDeclaration",
"scope": 2039,
"src": "1749:14:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 1925,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "1749:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "1748:16:11"
},
"scope": 2691,
"src": "1667:4213:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 2082,
"nodeType": "Block",
"src": "6122:189:11",
"statements": [
{
"assignments": [
2055
],
"declarations": [
{
"constant": false,
"id": 2055,
"mutability": "mutable",
"name": "result",
"nameLocation": "6140:6:11",
"nodeType": "VariableDeclaration",
"scope": 2082,
"src": "6132:14:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2054,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "6132:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 2061,
"initialValue": {
"arguments": [
{
"id": 2057,
"name": "x",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2042,
"src": "6156:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
{
"id": 2058,
"name": "y",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2044,
"src": "6159:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
{
"id": 2059,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2046,
"src": "6162:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"expression": {
"argumentTypes": [
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
],
"id": 2056,
"name": "mulDiv",
"nodeType": "Identifier",
"overloadedDeclarations": [
2039,
2083
],
"referencedDeclaration": 2039,
"src": "6149:6:11",
"typeDescriptions": {
"typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$_t_uint256_$returns$_t_uint256_$",
"typeString": "function (uint256,uint256,uint256) pure returns (uint256)"
}
},
"id": 2060,
"isConstant": false,
"isLValue": false,
"isPure": false,
"kind": "functionCall",
"lValueRequested": false,
"nameLocations": [],
"names": [],
"nodeType": "FunctionCall",
"src": "6149:25:11",
"tryCall": false,
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "VariableDeclarationStatement",
"src": "6132:42:11"
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_bool",
"typeString": "bool"
},
"id": 2073,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
},
"id": 2065,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2062,
"name": "rounding",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2049,
"src": "6188:8:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"nodeType": "BinaryOperation",
"operator": "==",
"rightExpression": {
"expression": {
"id": 2063,
"name": "Rounding",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1832,
"src": "6200:8:11",
"typeDescriptions": {
"typeIdentifier": "t_type$_t_enum$_Rounding_$1832_$",
"typeString": "type(enum Math.Rounding)"
}
},
"id": 2064,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"memberLocation": "6209:2:11",
"memberName": "Up",
"nodeType": "MemberAccess",
"referencedDeclaration": 1830,
"src": "6200:11:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"src": "6188:23:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"nodeType": "BinaryOperation",
"operator": "&&",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2072,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"arguments": [
{
"id": 2067,
"name": "x",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2042,
"src": "6222:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
{
"id": 2068,
"name": "y",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2044,
"src": "6225:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
{
"id": 2069,
"name": "denominator",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2046,
"src": "6228:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"expression": {
"argumentTypes": [
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
],
"id": 2066,
"name": "mulmod",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 4294967280,
"src": "6215:6:11",
"typeDescriptions": {
"typeIdentifier": "t_function_mulmod_pure$_t_uint256_$_t_uint256_$_t_uint256_$returns$_t_uint256_$",
"typeString": "function (uint256,uint256,uint256) pure returns (uint256)"
}
},
"id": 2070,
"isConstant": false,
"isLValue": false,
"isPure": false,
"kind": "functionCall",
"lValueRequested": false,
"nameLocations": [],
"names": [],
"nodeType": "FunctionCall",
"src": "6215:25:11",
"tryCall": false,
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2071,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "6243:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "6215:29:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"src": "6188:56:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2079,
"nodeType": "IfStatement",
"src": "6184:98:11",
"trueBody": {
"id": 2078,
"nodeType": "Block",
"src": "6246:36:11",
"statements": [
{
"expression": {
"id": 2076,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2074,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2055,
"src": "6260:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "31",
"id": 2075,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "6270:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "6260:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2077,
"nodeType": "ExpressionStatement",
"src": "6260:11:11"
}
]
}
},
{
"expression": {
"id": 2080,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2055,
"src": "6298:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 2053,
"id": 2081,
"nodeType": "Return",
"src": "6291:13:11"
}
]
},
"documentation": {
"id": 2040,
"nodeType": "StructuredDocumentation",
"src": "5886:121:11",
"text": " @notice Calculates x * y / denominator with full precision, following the selected rounding direction."
},
"id": 2083,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "mulDiv",
"nameLocation": "6021:6:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 2050,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2042,
"mutability": "mutable",
"name": "x",
"nameLocation": "6036:1:11",
"nodeType": "VariableDeclaration",
"scope": 2083,
"src": "6028:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2041,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "6028:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 2044,
"mutability": "mutable",
"name": "y",
"nameLocation": "6047:1:11",
"nodeType": "VariableDeclaration",
"scope": 2083,
"src": "6039:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2043,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "6039:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 2046,
"mutability": "mutable",
"name": "denominator",
"nameLocation": "6058:11:11",
"nodeType": "VariableDeclaration",
"scope": 2083,
"src": "6050:19:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2045,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "6050:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 2049,
"mutability": "mutable",
"name": "rounding",
"nameLocation": "6080:8:11",
"nodeType": "VariableDeclaration",
"scope": 2083,
"src": "6071:17:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
},
"typeName": {
"id": 2048,
"nodeType": "UserDefinedTypeName",
"pathNode": {
"id": 2047,
"name": "Rounding",
"nameLocations": [
"6071:8:11"
],
"nodeType": "IdentifierPath",
"referencedDeclaration": 1832,
"src": "6071:8:11"
},
"referencedDeclaration": 1832,
"src": "6071:8:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"visibility": "internal"
}
],
"src": "6027:62:11"
},
"returnParameters": {
"id": 2053,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2052,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 2083,
"src": "6113:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2051,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "6113:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "6112:9:11"
},
"scope": 2691,
"src": "6012:299:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 2194,
"nodeType": "Block",
"src": "6587:1585:11",
"statements": [
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2093,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2091,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2086,
"src": "6601:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "==",
"rightExpression": {
"hexValue": "30",
"id": 2092,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "6606:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "6601:6:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2097,
"nodeType": "IfStatement",
"src": "6597:45:11",
"trueBody": {
"id": 2096,
"nodeType": "Block",
"src": "6609:33:11",
"statements": [
{
"expression": {
"hexValue": "30",
"id": 2094,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "6630:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"functionReturnParameters": 2090,
"id": 2095,
"nodeType": "Return",
"src": "6623:8:11"
}
]
}
},
{
"assignments": [
2099
],
"declarations": [
{
"constant": false,
"id": 2099,
"mutability": "mutable",
"name": "result",
"nameLocation": "7329:6:11",
"nodeType": "VariableDeclaration",
"scope": 2194,
"src": "7321:14:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2098,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "7321:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 2108,
"initialValue": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2107,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"hexValue": "31",
"id": 2100,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "7338:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"nodeType": "BinaryOperation",
"operator": "<<",
"rightExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2105,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"arguments": [
{
"id": 2102,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2086,
"src": "7349:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"expression": {
"argumentTypes": [
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
],
"id": 2101,
"name": "log2",
"nodeType": "Identifier",
"overloadedDeclarations": [
2363,
2399
],
"referencedDeclaration": 2363,
"src": "7344:4:11",
"typeDescriptions": {
"typeIdentifier": "t_function_internal_pure$_t_uint256_$returns$_t_uint256_$",
"typeString": "function (uint256) pure returns (uint256)"
}
},
"id": 2103,
"isConstant": false,
"isLValue": false,
"isPure": false,
"kind": "functionCall",
"lValueRequested": false,
"nameLocations": [],
"names": [],
"nodeType": "FunctionCall",
"src": "7344:7:11",
"tryCall": false,
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "31",
"id": 2104,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "7355:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "7344:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 2106,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "7343:14:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7338:19:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "VariableDeclarationStatement",
"src": "7321:36:11"
},
{
"id": 2193,
"nodeType": "UncheckedBlock",
"src": "7758:408:11",
"statements": [
{
"expression": {
"id": 2118,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2109,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7782:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2117,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2114,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2110,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7792:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2113,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2111,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2086,
"src": "7801:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "/",
"rightExpression": {
"id": 2112,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7805:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7801:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7792:19:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 2115,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "7791:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "31",
"id": 2116,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "7816:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "7791:26:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7782:35:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2119,
"nodeType": "ExpressionStatement",
"src": "7782:35:11"
},
{
"expression": {
"id": 2129,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2120,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7831:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2128,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2125,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2121,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7841:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2124,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2122,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2086,
"src": "7850:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "/",
"rightExpression": {
"id": 2123,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7854:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7850:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7841:19:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 2126,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "7840:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "31",
"id": 2127,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "7865:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "7840:26:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7831:35:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2130,
"nodeType": "ExpressionStatement",
"src": "7831:35:11"
},
{
"expression": {
"id": 2140,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2131,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7880:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2139,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2136,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2132,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7890:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2135,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2133,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2086,
"src": "7899:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "/",
"rightExpression": {
"id": 2134,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7903:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7899:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7890:19:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 2137,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "7889:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "31",
"id": 2138,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "7914:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "7889:26:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7880:35:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2141,
"nodeType": "ExpressionStatement",
"src": "7880:35:11"
},
{
"expression": {
"id": 2151,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2142,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7929:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2150,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2147,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2143,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7939:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2146,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2144,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2086,
"src": "7948:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "/",
"rightExpression": {
"id": 2145,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7952:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7948:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7939:19:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 2148,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "7938:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "31",
"id": 2149,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "7963:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "7938:26:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7929:35:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2152,
"nodeType": "ExpressionStatement",
"src": "7929:35:11"
},
{
"expression": {
"id": 2162,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2153,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7978:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2161,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2158,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2154,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "7988:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2157,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2155,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2086,
"src": "7997:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "/",
"rightExpression": {
"id": 2156,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "8001:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7997:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7988:19:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 2159,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "7987:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "31",
"id": 2160,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8012:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "7987:26:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "7978:35:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2163,
"nodeType": "ExpressionStatement",
"src": "7978:35:11"
},
{
"expression": {
"id": 2173,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2164,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "8027:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2172,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2169,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2165,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "8037:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2168,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2166,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2086,
"src": "8046:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "/",
"rightExpression": {
"id": 2167,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "8050:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "8046:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "8037:19:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 2170,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "8036:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "31",
"id": 2171,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8061:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "8036:26:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "8027:35:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2174,
"nodeType": "ExpressionStatement",
"src": "8027:35:11"
},
{
"expression": {
"id": 2184,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2175,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "8076:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2183,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2180,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2176,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "8086:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2179,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2177,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2086,
"src": "8095:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "/",
"rightExpression": {
"id": 2178,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "8099:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "8095:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "8086:19:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 2181,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "8085:21:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "31",
"id": 2182,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8110:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "8085:26:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "8076:35:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2185,
"nodeType": "ExpressionStatement",
"src": "8076:35:11"
},
{
"expression": {
"arguments": [
{
"id": 2187,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "8136:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2190,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2188,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2086,
"src": "8144:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "/",
"rightExpression": {
"id": 2189,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2099,
"src": "8148:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "8144:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"expression": {
"argumentTypes": [
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
],
"id": 2186,
"name": "min",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1868,
"src": "8132:3:11",
"typeDescriptions": {
"typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_uint256_$",
"typeString": "function (uint256,uint256) pure returns (uint256)"
}
},
"id": 2191,
"isConstant": false,
"isLValue": false,
"isPure": false,
"kind": "functionCall",
"lValueRequested": false,
"nameLocations": [],
"names": [],
"nodeType": "FunctionCall",
"src": "8132:23:11",
"tryCall": false,
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 2090,
"id": 2192,
"nodeType": "Return",
"src": "8125:30:11"
}
]
}
]
},
"documentation": {
"id": 2084,
"nodeType": "StructuredDocumentation",
"src": "6317:208:11",
"text": " @dev Returns the square root of a number. If the number is not a perfect square, the value is rounded down.\n Inspired by Henry S. Warren, Jr.'s \"Hacker's Delight\" (Chapter 11)."
},
"id": 2195,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "sqrt",
"nameLocation": "6539:4:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 2087,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2086,
"mutability": "mutable",
"name": "a",
"nameLocation": "6552:1:11",
"nodeType": "VariableDeclaration",
"scope": 2195,
"src": "6544:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2085,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "6544:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "6543:11:11"
},
"returnParameters": {
"id": 2090,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2089,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 2195,
"src": "6578:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2088,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "6578:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "6577:9:11"
},
"scope": 2691,
"src": "6530:1642:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 2230,
"nodeType": "Block",
"src": "8348:161:11",
"statements": [
{
"id": 2229,
"nodeType": "UncheckedBlock",
"src": "8358:145:11",
"statements": [
{
"assignments": [
2207
],
"declarations": [
{
"constant": false,
"id": 2207,
"mutability": "mutable",
"name": "result",
"nameLocation": "8390:6:11",
"nodeType": "VariableDeclaration",
"scope": 2229,
"src": "8382:14:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2206,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "8382:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 2211,
"initialValue": {
"arguments": [
{
"id": 2209,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2198,
"src": "8404:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"expression": {
"argumentTypes": [
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
],
"id": 2208,
"name": "sqrt",
"nodeType": "Identifier",
"overloadedDeclarations": [
2195,
2231
],
"referencedDeclaration": 2195,
"src": "8399:4:11",
"typeDescriptions": {
"typeIdentifier": "t_function_internal_pure$_t_uint256_$returns$_t_uint256_$",
"typeString": "function (uint256) pure returns (uint256)"
}
},
"id": 2210,
"isConstant": false,
"isLValue": false,
"isPure": false,
"kind": "functionCall",
"lValueRequested": false,
"nameLocations": [],
"names": [],
"nodeType": "FunctionCall",
"src": "8399:7:11",
"tryCall": false,
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "VariableDeclarationStatement",
"src": "8382:24:11"
},
{
"expression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2227,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2212,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2207,
"src": "8427:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"components": [
{
"condition": {
"commonType": {
"typeIdentifier": "t_bool",
"typeString": "bool"
},
"id": 2222,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
},
"id": 2216,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2213,
"name": "rounding",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2201,
"src": "8437:8:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"nodeType": "BinaryOperation",
"operator": "==",
"rightExpression": {
"expression": {
"id": 2214,
"name": "Rounding",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1832,
"src": "8449:8:11",
"typeDescriptions": {
"typeIdentifier": "t_type$_t_enum$_Rounding_$1832_$",
"typeString": "type(enum Math.Rounding)"
}
},
"id": 2215,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"memberLocation": "8458:2:11",
"memberName": "Up",
"nodeType": "MemberAccess",
"referencedDeclaration": 1830,
"src": "8449:11:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"src": "8437:23:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"nodeType": "BinaryOperation",
"operator": "&&",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2221,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2219,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2217,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2207,
"src": "8464:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "*",
"rightExpression": {
"id": 2218,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2207,
"src": "8473:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "8464:15:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "<",
"rightExpression": {
"id": 2220,
"name": "a",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2198,
"src": "8482:1:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "8464:19:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"src": "8437:46:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"falseExpression": {
"hexValue": "30",
"id": 2224,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8490:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"id": 2225,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "Conditional",
"src": "8437:54:11",
"trueExpression": {
"hexValue": "31",
"id": 2223,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8486:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"typeDescriptions": {
"typeIdentifier": "t_uint8",
"typeString": "uint8"
}
}
],
"id": 2226,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "8436:56:11",
"typeDescriptions": {
"typeIdentifier": "t_uint8",
"typeString": "uint8"
}
},
"src": "8427:65:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 2205,
"id": 2228,
"nodeType": "Return",
"src": "8420:72:11"
}
]
}
]
},
"documentation": {
"id": 2196,
"nodeType": "StructuredDocumentation",
"src": "8178:89:11",
"text": " @notice Calculates sqrt(a), following the selected rounding direction."
},
"id": 2231,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "sqrt",
"nameLocation": "8281:4:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 2202,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2198,
"mutability": "mutable",
"name": "a",
"nameLocation": "8294:1:11",
"nodeType": "VariableDeclaration",
"scope": 2231,
"src": "8286:9:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2197,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "8286:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 2201,
"mutability": "mutable",
"name": "rounding",
"nameLocation": "8306:8:11",
"nodeType": "VariableDeclaration",
"scope": 2231,
"src": "8297:17:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
},
"typeName": {
"id": 2200,
"nodeType": "UserDefinedTypeName",
"pathNode": {
"id": 2199,
"name": "Rounding",
"nameLocations": [
"8297:8:11"
],
"nodeType": "IdentifierPath",
"referencedDeclaration": 1832,
"src": "8297:8:11"
},
"referencedDeclaration": 1832,
"src": "8297:8:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"visibility": "internal"
}
],
"src": "8285:30:11"
},
"returnParameters": {
"id": 2205,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2204,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 2231,
"src": "8339:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2203,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "8339:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "8338:9:11"
},
"scope": 2691,
"src": "8272:237:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 2362,
"nodeType": "Block",
"src": "8694:922:11",
"statements": [
{
"assignments": [
2240
],
"declarations": [
{
"constant": false,
"id": 2240,
"mutability": "mutable",
"name": "result",
"nameLocation": "8712:6:11",
"nodeType": "VariableDeclaration",
"scope": 2362,
"src": "8704:14:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2239,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "8704:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 2242,
"initialValue": {
"hexValue": "30",
"id": 2241,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8721:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"nodeType": "VariableDeclarationStatement",
"src": "8704:18:11"
},
{
"id": 2359,
"nodeType": "UncheckedBlock",
"src": "8732:855:11",
"statements": [
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2247,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2245,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2243,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "8760:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "313238",
"id": 2244,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8769:3:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_128_by_1",
"typeString": "int_const 128"
},
"value": "128"
},
"src": "8760:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2246,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8775:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "8760:16:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2257,
"nodeType": "IfStatement",
"src": "8756:99:11",
"trueBody": {
"id": 2256,
"nodeType": "Block",
"src": "8778:77:11",
"statements": [
{
"expression": {
"id": 2250,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2248,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "8796:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": ">>=",
"rightHandSide": {
"hexValue": "313238",
"id": 2249,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8806:3:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_128_by_1",
"typeString": "int_const 128"
},
"value": "128"
},
"src": "8796:13:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2251,
"nodeType": "ExpressionStatement",
"src": "8796:13:11"
},
{
"expression": {
"id": 2254,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2252,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2240,
"src": "8827:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "313238",
"id": 2253,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8837:3:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_128_by_1",
"typeString": "int_const 128"
},
"value": "128"
},
"src": "8827:13:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2255,
"nodeType": "ExpressionStatement",
"src": "8827:13:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2262,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2260,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2258,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "8872:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "3634",
"id": 2259,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8881:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_64_by_1",
"typeString": "int_const 64"
},
"value": "64"
},
"src": "8872:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2261,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8886:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "8872:15:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2272,
"nodeType": "IfStatement",
"src": "8868:96:11",
"trueBody": {
"id": 2271,
"nodeType": "Block",
"src": "8889:75:11",
"statements": [
{
"expression": {
"id": 2265,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2263,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "8907:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": ">>=",
"rightHandSide": {
"hexValue": "3634",
"id": 2264,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8917:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_64_by_1",
"typeString": "int_const 64"
},
"value": "64"
},
"src": "8907:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2266,
"nodeType": "ExpressionStatement",
"src": "8907:12:11"
},
{
"expression": {
"id": 2269,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2267,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2240,
"src": "8937:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "3634",
"id": 2268,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8947:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_64_by_1",
"typeString": "int_const 64"
},
"value": "64"
},
"src": "8937:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2270,
"nodeType": "ExpressionStatement",
"src": "8937:12:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2277,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2275,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2273,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "8981:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "3332",
"id": 2274,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8990:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_32_by_1",
"typeString": "int_const 32"
},
"value": "32"
},
"src": "8981:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2276,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "8995:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "8981:15:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2287,
"nodeType": "IfStatement",
"src": "8977:96:11",
"trueBody": {
"id": 2286,
"nodeType": "Block",
"src": "8998:75:11",
"statements": [
{
"expression": {
"id": 2280,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2278,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "9016:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": ">>=",
"rightHandSide": {
"hexValue": "3332",
"id": 2279,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9026:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_32_by_1",
"typeString": "int_const 32"
},
"value": "32"
},
"src": "9016:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2281,
"nodeType": "ExpressionStatement",
"src": "9016:12:11"
},
{
"expression": {
"id": 2284,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2282,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2240,
"src": "9046:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "3332",
"id": 2283,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9056:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_32_by_1",
"typeString": "int_const 32"
},
"value": "32"
},
"src": "9046:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2285,
"nodeType": "ExpressionStatement",
"src": "9046:12:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2292,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2290,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2288,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "9090:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "3136",
"id": 2289,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9099:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_16_by_1",
"typeString": "int_const 16"
},
"value": "16"
},
"src": "9090:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2291,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9104:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "9090:15:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2302,
"nodeType": "IfStatement",
"src": "9086:96:11",
"trueBody": {
"id": 2301,
"nodeType": "Block",
"src": "9107:75:11",
"statements": [
{
"expression": {
"id": 2295,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2293,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "9125:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": ">>=",
"rightHandSide": {
"hexValue": "3136",
"id": 2294,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9135:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_16_by_1",
"typeString": "int_const 16"
},
"value": "16"
},
"src": "9125:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2296,
"nodeType": "ExpressionStatement",
"src": "9125:12:11"
},
{
"expression": {
"id": 2299,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2297,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2240,
"src": "9155:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "3136",
"id": 2298,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9165:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_16_by_1",
"typeString": "int_const 16"
},
"value": "16"
},
"src": "9155:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2300,
"nodeType": "ExpressionStatement",
"src": "9155:12:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2307,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2305,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2303,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "9199:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "38",
"id": 2304,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9208:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_8_by_1",
"typeString": "int_const 8"
},
"value": "8"
},
"src": "9199:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2306,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9212:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "9199:14:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2317,
"nodeType": "IfStatement",
"src": "9195:93:11",
"trueBody": {
"id": 2316,
"nodeType": "Block",
"src": "9215:73:11",
"statements": [
{
"expression": {
"id": 2310,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2308,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "9233:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": ">>=",
"rightHandSide": {
"hexValue": "38",
"id": 2309,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9243:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_8_by_1",
"typeString": "int_const 8"
},
"value": "8"
},
"src": "9233:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2311,
"nodeType": "ExpressionStatement",
"src": "9233:11:11"
},
{
"expression": {
"id": 2314,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2312,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2240,
"src": "9262:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "38",
"id": 2313,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9272:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_8_by_1",
"typeString": "int_const 8"
},
"value": "8"
},
"src": "9262:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2315,
"nodeType": "ExpressionStatement",
"src": "9262:11:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2322,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2320,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2318,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "9305:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "34",
"id": 2319,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9314:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_4_by_1",
"typeString": "int_const 4"
},
"value": "4"
},
"src": "9305:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2321,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9318:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "9305:14:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2332,
"nodeType": "IfStatement",
"src": "9301:93:11",
"trueBody": {
"id": 2331,
"nodeType": "Block",
"src": "9321:73:11",
"statements": [
{
"expression": {
"id": 2325,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2323,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "9339:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": ">>=",
"rightHandSide": {
"hexValue": "34",
"id": 2324,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9349:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_4_by_1",
"typeString": "int_const 4"
},
"value": "4"
},
"src": "9339:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2326,
"nodeType": "ExpressionStatement",
"src": "9339:11:11"
},
{
"expression": {
"id": 2329,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2327,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2240,
"src": "9368:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "34",
"id": 2328,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9378:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_4_by_1",
"typeString": "int_const 4"
},
"value": "4"
},
"src": "9368:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2330,
"nodeType": "ExpressionStatement",
"src": "9368:11:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2337,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2335,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2333,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "9411:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "32",
"id": 2334,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9420:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"src": "9411:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2336,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9424:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "9411:14:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2347,
"nodeType": "IfStatement",
"src": "9407:93:11",
"trueBody": {
"id": 2346,
"nodeType": "Block",
"src": "9427:73:11",
"statements": [
{
"expression": {
"id": 2340,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2338,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "9445:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": ">>=",
"rightHandSide": {
"hexValue": "32",
"id": 2339,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9455:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"src": "9445:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2341,
"nodeType": "ExpressionStatement",
"src": "9445:11:11"
},
{
"expression": {
"id": 2344,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2342,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2240,
"src": "9474:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "32",
"id": 2343,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9484:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"src": "9474:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2345,
"nodeType": "ExpressionStatement",
"src": "9474:11:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2352,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2350,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2348,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2234,
"src": "9517:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "31",
"id": 2349,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9526:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "9517:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2351,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9530:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "9517:14:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2358,
"nodeType": "IfStatement",
"src": "9513:64:11",
"trueBody": {
"id": 2357,
"nodeType": "Block",
"src": "9533:44:11",
"statements": [
{
"expression": {
"id": 2355,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2353,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2240,
"src": "9551:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "31",
"id": 2354,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9561:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "9551:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2356,
"nodeType": "ExpressionStatement",
"src": "9551:11:11"
}
]
}
}
]
},
{
"expression": {
"id": 2360,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2240,
"src": "9603:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 2238,
"id": 2361,
"nodeType": "Return",
"src": "9596:13:11"
}
]
},
"documentation": {
"id": 2232,
"nodeType": "StructuredDocumentation",
"src": "8515:113:11",
"text": " @dev Return the log in base 2, rounded down, of a positive value.\n Returns 0 if given 0."
},
"id": 2363,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "log2",
"nameLocation": "8642:4:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 2235,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2234,
"mutability": "mutable",
"name": "value",
"nameLocation": "8655:5:11",
"nodeType": "VariableDeclaration",
"scope": 2363,
"src": "8647:13:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2233,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "8647:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "8646:15:11"
},
"returnParameters": {
"id": 2238,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2237,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 2363,
"src": "8685:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2236,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "8685:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "8684:9:11"
},
"scope": 2691,
"src": "8633:983:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 2398,
"nodeType": "Block",
"src": "9849:165:11",
"statements": [
{
"id": 2397,
"nodeType": "UncheckedBlock",
"src": "9859:149:11",
"statements": [
{
"assignments": [
2375
],
"declarations": [
{
"constant": false,
"id": 2375,
"mutability": "mutable",
"name": "result",
"nameLocation": "9891:6:11",
"nodeType": "VariableDeclaration",
"scope": 2397,
"src": "9883:14:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2374,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "9883:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 2379,
"initialValue": {
"arguments": [
{
"id": 2377,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2366,
"src": "9905:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"expression": {
"argumentTypes": [
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
],
"id": 2376,
"name": "log2",
"nodeType": "Identifier",
"overloadedDeclarations": [
2363,
2399
],
"referencedDeclaration": 2363,
"src": "9900:4:11",
"typeDescriptions": {
"typeIdentifier": "t_function_internal_pure$_t_uint256_$returns$_t_uint256_$",
"typeString": "function (uint256) pure returns (uint256)"
}
},
"id": 2378,
"isConstant": false,
"isLValue": false,
"isPure": false,
"kind": "functionCall",
"lValueRequested": false,
"nameLocations": [],
"names": [],
"nodeType": "FunctionCall",
"src": "9900:11:11",
"tryCall": false,
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "VariableDeclarationStatement",
"src": "9883:28:11"
},
{
"expression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2395,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2380,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2375,
"src": "9932:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"components": [
{
"condition": {
"commonType": {
"typeIdentifier": "t_bool",
"typeString": "bool"
},
"id": 2390,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
},
"id": 2384,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2381,
"name": "rounding",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2369,
"src": "9942:8:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"nodeType": "BinaryOperation",
"operator": "==",
"rightExpression": {
"expression": {
"id": 2382,
"name": "Rounding",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1832,
"src": "9954:8:11",
"typeDescriptions": {
"typeIdentifier": "t_type$_t_enum$_Rounding_$1832_$",
"typeString": "type(enum Math.Rounding)"
}
},
"id": 2383,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"memberLocation": "9963:2:11",
"memberName": "Up",
"nodeType": "MemberAccess",
"referencedDeclaration": 1830,
"src": "9954:11:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"src": "9942:23:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"nodeType": "BinaryOperation",
"operator": "&&",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2389,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2387,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"hexValue": "31",
"id": 2385,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9969:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"nodeType": "BinaryOperation",
"operator": "<<",
"rightExpression": {
"id": 2386,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2375,
"src": "9974:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "9969:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "<",
"rightExpression": {
"id": 2388,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2366,
"src": "9983:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "9969:19:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"src": "9942:46:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"falseExpression": {
"hexValue": "30",
"id": 2392,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9995:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"id": 2393,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "Conditional",
"src": "9942:54:11",
"trueExpression": {
"hexValue": "31",
"id": 2391,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "9991:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"typeDescriptions": {
"typeIdentifier": "t_uint8",
"typeString": "uint8"
}
}
],
"id": 2394,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "9941:56:11",
"typeDescriptions": {
"typeIdentifier": "t_uint8",
"typeString": "uint8"
}
},
"src": "9932:65:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 2373,
"id": 2396,
"nodeType": "Return",
"src": "9925:72:11"
}
]
}
]
},
"documentation": {
"id": 2364,
"nodeType": "StructuredDocumentation",
"src": "9622:142:11",
"text": " @dev Return the log in base 2, following the selected rounding direction, of a positive value.\n Returns 0 if given 0."
},
"id": 2399,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "log2",
"nameLocation": "9778:4:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 2370,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2366,
"mutability": "mutable",
"name": "value",
"nameLocation": "9791:5:11",
"nodeType": "VariableDeclaration",
"scope": 2399,
"src": "9783:13:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2365,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "9783:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 2369,
"mutability": "mutable",
"name": "rounding",
"nameLocation": "9807:8:11",
"nodeType": "VariableDeclaration",
"scope": 2399,
"src": "9798:17:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
},
"typeName": {
"id": 2368,
"nodeType": "UserDefinedTypeName",
"pathNode": {
"id": 2367,
"name": "Rounding",
"nameLocations": [
"9798:8:11"
],
"nodeType": "IdentifierPath",
"referencedDeclaration": 1832,
"src": "9798:8:11"
},
"referencedDeclaration": 1832,
"src": "9798:8:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"visibility": "internal"
}
],
"src": "9782:34:11"
},
"returnParameters": {
"id": 2373,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2372,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 2399,
"src": "9840:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2371,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "9840:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "9839:9:11"
},
"scope": 2691,
"src": "9769:245:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 2527,
"nodeType": "Block",
"src": "10201:854:11",
"statements": [
{
"assignments": [
2408
],
"declarations": [
{
"constant": false,
"id": 2408,
"mutability": "mutable",
"name": "result",
"nameLocation": "10219:6:11",
"nodeType": "VariableDeclaration",
"scope": 2527,
"src": "10211:14:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2407,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "10211:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 2410,
"initialValue": {
"hexValue": "30",
"id": 2409,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10228:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"nodeType": "VariableDeclarationStatement",
"src": "10211:18:11"
},
{
"id": 2524,
"nodeType": "UncheckedBlock",
"src": "10239:787:11",
"statements": [
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2415,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2411,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10267:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">=",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_rational_10000000000000000000000000000000000000000000000000000000000000000_by_1",
"typeString": "int_const 1000...(57 digits omitted)...0000"
},
"id": 2414,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2412,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10276:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "3634",
"id": 2413,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10282:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_64_by_1",
"typeString": "int_const 64"
},
"value": "64"
},
"src": "10276:8:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10000000000000000000000000000000000000000000000000000000000000000_by_1",
"typeString": "int_const 1000...(57 digits omitted)...0000"
}
},
"src": "10267:17:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2427,
"nodeType": "IfStatement",
"src": "10263:103:11",
"trueBody": {
"id": 2426,
"nodeType": "Block",
"src": "10286:80:11",
"statements": [
{
"expression": {
"id": 2420,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2416,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10304:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "/=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_rational_10000000000000000000000000000000000000000000000000000000000000000_by_1",
"typeString": "int_const 1000...(57 digits omitted)...0000"
},
"id": 2419,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2417,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10313:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "3634",
"id": 2418,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10319:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_64_by_1",
"typeString": "int_const 64"
},
"value": "64"
},
"src": "10313:8:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10000000000000000000000000000000000000000000000000000000000000000_by_1",
"typeString": "int_const 1000...(57 digits omitted)...0000"
}
},
"src": "10304:17:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2421,
"nodeType": "ExpressionStatement",
"src": "10304:17:11"
},
{
"expression": {
"id": 2424,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2422,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2408,
"src": "10339:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "3634",
"id": 2423,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10349:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_64_by_1",
"typeString": "int_const 64"
},
"value": "64"
},
"src": "10339:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2425,
"nodeType": "ExpressionStatement",
"src": "10339:12:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2432,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2428,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10383:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">=",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_rational_100000000000000000000000000000000_by_1",
"typeString": "int_const 1000...(25 digits omitted)...0000"
},
"id": 2431,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2429,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10392:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "3332",
"id": 2430,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10398:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_32_by_1",
"typeString": "int_const 32"
},
"value": "32"
},
"src": "10392:8:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_100000000000000000000000000000000_by_1",
"typeString": "int_const 1000...(25 digits omitted)...0000"
}
},
"src": "10383:17:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2444,
"nodeType": "IfStatement",
"src": "10379:103:11",
"trueBody": {
"id": 2443,
"nodeType": "Block",
"src": "10402:80:11",
"statements": [
{
"expression": {
"id": 2437,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2433,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10420:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "/=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_rational_100000000000000000000000000000000_by_1",
"typeString": "int_const 1000...(25 digits omitted)...0000"
},
"id": 2436,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2434,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10429:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "3332",
"id": 2435,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10435:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_32_by_1",
"typeString": "int_const 32"
},
"value": "32"
},
"src": "10429:8:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_100000000000000000000000000000000_by_1",
"typeString": "int_const 1000...(25 digits omitted)...0000"
}
},
"src": "10420:17:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2438,
"nodeType": "ExpressionStatement",
"src": "10420:17:11"
},
{
"expression": {
"id": 2441,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2439,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2408,
"src": "10455:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "3332",
"id": 2440,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10465:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_32_by_1",
"typeString": "int_const 32"
},
"value": "32"
},
"src": "10455:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2442,
"nodeType": "ExpressionStatement",
"src": "10455:12:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2449,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2445,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10499:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">=",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_rational_10000000000000000_by_1",
"typeString": "int_const 10000000000000000"
},
"id": 2448,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2446,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10508:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "3136",
"id": 2447,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10514:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_16_by_1",
"typeString": "int_const 16"
},
"value": "16"
},
"src": "10508:8:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10000000000000000_by_1",
"typeString": "int_const 10000000000000000"
}
},
"src": "10499:17:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2461,
"nodeType": "IfStatement",
"src": "10495:103:11",
"trueBody": {
"id": 2460,
"nodeType": "Block",
"src": "10518:80:11",
"statements": [
{
"expression": {
"id": 2454,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2450,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10536:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "/=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_rational_10000000000000000_by_1",
"typeString": "int_const 10000000000000000"
},
"id": 2453,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2451,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10545:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "3136",
"id": 2452,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10551:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_16_by_1",
"typeString": "int_const 16"
},
"value": "16"
},
"src": "10545:8:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10000000000000000_by_1",
"typeString": "int_const 10000000000000000"
}
},
"src": "10536:17:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2455,
"nodeType": "ExpressionStatement",
"src": "10536:17:11"
},
{
"expression": {
"id": 2458,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2456,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2408,
"src": "10571:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "3136",
"id": 2457,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10581:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_16_by_1",
"typeString": "int_const 16"
},
"value": "16"
},
"src": "10571:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2459,
"nodeType": "ExpressionStatement",
"src": "10571:12:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2466,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2462,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10615:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">=",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_rational_100000000_by_1",
"typeString": "int_const 100000000"
},
"id": 2465,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2463,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10624:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "38",
"id": 2464,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10630:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_8_by_1",
"typeString": "int_const 8"
},
"value": "8"
},
"src": "10624:7:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_100000000_by_1",
"typeString": "int_const 100000000"
}
},
"src": "10615:16:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2478,
"nodeType": "IfStatement",
"src": "10611:100:11",
"trueBody": {
"id": 2477,
"nodeType": "Block",
"src": "10633:78:11",
"statements": [
{
"expression": {
"id": 2471,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2467,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10651:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "/=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_rational_100000000_by_1",
"typeString": "int_const 100000000"
},
"id": 2470,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2468,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10660:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "38",
"id": 2469,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10666:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_8_by_1",
"typeString": "int_const 8"
},
"value": "8"
},
"src": "10660:7:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_100000000_by_1",
"typeString": "int_const 100000000"
}
},
"src": "10651:16:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2472,
"nodeType": "ExpressionStatement",
"src": "10651:16:11"
},
{
"expression": {
"id": 2475,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2473,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2408,
"src": "10685:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "38",
"id": 2474,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10695:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_8_by_1",
"typeString": "int_const 8"
},
"value": "8"
},
"src": "10685:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2476,
"nodeType": "ExpressionStatement",
"src": "10685:11:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2483,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2479,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10728:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">=",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_rational_10000_by_1",
"typeString": "int_const 10000"
},
"id": 2482,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2480,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10737:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "34",
"id": 2481,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10743:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_4_by_1",
"typeString": "int_const 4"
},
"value": "4"
},
"src": "10737:7:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10000_by_1",
"typeString": "int_const 10000"
}
},
"src": "10728:16:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2495,
"nodeType": "IfStatement",
"src": "10724:100:11",
"trueBody": {
"id": 2494,
"nodeType": "Block",
"src": "10746:78:11",
"statements": [
{
"expression": {
"id": 2488,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2484,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10764:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "/=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_rational_10000_by_1",
"typeString": "int_const 10000"
},
"id": 2487,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2485,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10773:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "34",
"id": 2486,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10779:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_4_by_1",
"typeString": "int_const 4"
},
"value": "4"
},
"src": "10773:7:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10000_by_1",
"typeString": "int_const 10000"
}
},
"src": "10764:16:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2489,
"nodeType": "ExpressionStatement",
"src": "10764:16:11"
},
{
"expression": {
"id": 2492,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2490,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2408,
"src": "10798:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "34",
"id": 2491,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10808:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_4_by_1",
"typeString": "int_const 4"
},
"value": "4"
},
"src": "10798:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2493,
"nodeType": "ExpressionStatement",
"src": "10798:11:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2500,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2496,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10841:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">=",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_rational_100_by_1",
"typeString": "int_const 100"
},
"id": 2499,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2497,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10850:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "32",
"id": 2498,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10856:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"src": "10850:7:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_100_by_1",
"typeString": "int_const 100"
}
},
"src": "10841:16:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2512,
"nodeType": "IfStatement",
"src": "10837:100:11",
"trueBody": {
"id": 2511,
"nodeType": "Block",
"src": "10859:78:11",
"statements": [
{
"expression": {
"id": 2505,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2501,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10877:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "/=",
"rightHandSide": {
"commonType": {
"typeIdentifier": "t_rational_100_by_1",
"typeString": "int_const 100"
},
"id": 2504,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2502,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10886:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "32",
"id": 2503,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10892:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"src": "10886:7:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_100_by_1",
"typeString": "int_const 100"
}
},
"src": "10877:16:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2506,
"nodeType": "ExpressionStatement",
"src": "10877:16:11"
},
{
"expression": {
"id": 2509,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2507,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2408,
"src": "10911:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "32",
"id": 2508,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10921:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"src": "10911:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2510,
"nodeType": "ExpressionStatement",
"src": "10911:11:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2517,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2513,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2402,
"src": "10954:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">=",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"id": 2516,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2514,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10963:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"hexValue": "31",
"id": 2515,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "10969:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "10963:7:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
}
},
"src": "10954:16:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2523,
"nodeType": "IfStatement",
"src": "10950:66:11",
"trueBody": {
"id": 2522,
"nodeType": "Block",
"src": "10972:44:11",
"statements": [
{
"expression": {
"id": 2520,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2518,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2408,
"src": "10990:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "31",
"id": 2519,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11000:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "10990:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2521,
"nodeType": "ExpressionStatement",
"src": "10990:11:11"
}
]
}
}
]
},
{
"expression": {
"id": 2525,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2408,
"src": "11042:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 2406,
"id": 2526,
"nodeType": "Return",
"src": "11035:13:11"
}
]
},
"documentation": {
"id": 2400,
"nodeType": "StructuredDocumentation",
"src": "10020:114:11",
"text": " @dev Return the log in base 10, rounded down, of a positive value.\n Returns 0 if given 0."
},
"id": 2528,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "log10",
"nameLocation": "10148:5:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 2403,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2402,
"mutability": "mutable",
"name": "value",
"nameLocation": "10162:5:11",
"nodeType": "VariableDeclaration",
"scope": 2528,
"src": "10154:13:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2401,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "10154:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "10153:15:11"
},
"returnParameters": {
"id": 2406,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2405,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 2528,
"src": "10192:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2404,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "10192:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "10191:9:11"
},
"scope": 2691,
"src": "10139:916:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 2563,
"nodeType": "Block",
"src": "11290:167:11",
"statements": [
{
"id": 2562,
"nodeType": "UncheckedBlock",
"src": "11300:151:11",
"statements": [
{
"assignments": [
2540
],
"declarations": [
{
"constant": false,
"id": 2540,
"mutability": "mutable",
"name": "result",
"nameLocation": "11332:6:11",
"nodeType": "VariableDeclaration",
"scope": 2562,
"src": "11324:14:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2539,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "11324:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 2544,
"initialValue": {
"arguments": [
{
"id": 2542,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2531,
"src": "11347:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"expression": {
"argumentTypes": [
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
],
"id": 2541,
"name": "log10",
"nodeType": "Identifier",
"overloadedDeclarations": [
2528,
2564
],
"referencedDeclaration": 2528,
"src": "11341:5:11",
"typeDescriptions": {
"typeIdentifier": "t_function_internal_pure$_t_uint256_$returns$_t_uint256_$",
"typeString": "function (uint256) pure returns (uint256)"
}
},
"id": 2543,
"isConstant": false,
"isLValue": false,
"isPure": false,
"kind": "functionCall",
"lValueRequested": false,
"nameLocations": [],
"names": [],
"nodeType": "FunctionCall",
"src": "11341:12:11",
"tryCall": false,
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "VariableDeclarationStatement",
"src": "11324:29:11"
},
{
"expression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2560,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2545,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2540,
"src": "11374:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"components": [
{
"condition": {
"commonType": {
"typeIdentifier": "t_bool",
"typeString": "bool"
},
"id": 2555,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
},
"id": 2549,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2546,
"name": "rounding",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2534,
"src": "11384:8:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"nodeType": "BinaryOperation",
"operator": "==",
"rightExpression": {
"expression": {
"id": 2547,
"name": "Rounding",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1832,
"src": "11396:8:11",
"typeDescriptions": {
"typeIdentifier": "t_type$_t_enum$_Rounding_$1832_$",
"typeString": "type(enum Math.Rounding)"
}
},
"id": 2548,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"memberLocation": "11405:2:11",
"memberName": "Up",
"nodeType": "MemberAccess",
"referencedDeclaration": 1830,
"src": "11396:11:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"src": "11384:23:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"nodeType": "BinaryOperation",
"operator": "&&",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2554,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2552,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"hexValue": "3130",
"id": 2550,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11411:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_10_by_1",
"typeString": "int_const 10"
},
"value": "10"
},
"nodeType": "BinaryOperation",
"operator": "**",
"rightExpression": {
"id": 2551,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2540,
"src": "11417:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "11411:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "<",
"rightExpression": {
"id": 2553,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2531,
"src": "11426:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "11411:20:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"src": "11384:47:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"falseExpression": {
"hexValue": "30",
"id": 2557,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11438:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"id": 2558,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "Conditional",
"src": "11384:55:11",
"trueExpression": {
"hexValue": "31",
"id": 2556,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11434:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"typeDescriptions": {
"typeIdentifier": "t_uint8",
"typeString": "uint8"
}
}
],
"id": 2559,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "11383:57:11",
"typeDescriptions": {
"typeIdentifier": "t_uint8",
"typeString": "uint8"
}
},
"src": "11374:66:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 2538,
"id": 2561,
"nodeType": "Return",
"src": "11367:73:11"
}
]
}
]
},
"documentation": {
"id": 2529,
"nodeType": "StructuredDocumentation",
"src": "11061:143:11",
"text": " @dev Return the log in base 10, following the selected rounding direction, of a positive value.\n Returns 0 if given 0."
},
"id": 2564,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "log10",
"nameLocation": "11218:5:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 2535,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2531,
"mutability": "mutable",
"name": "value",
"nameLocation": "11232:5:11",
"nodeType": "VariableDeclaration",
"scope": 2564,
"src": "11224:13:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2530,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "11224:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 2534,
"mutability": "mutable",
"name": "rounding",
"nameLocation": "11248:8:11",
"nodeType": "VariableDeclaration",
"scope": 2564,
"src": "11239:17:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
},
"typeName": {
"id": 2533,
"nodeType": "UserDefinedTypeName",
"pathNode": {
"id": 2532,
"name": "Rounding",
"nameLocations": [
"11239:8:11"
],
"nodeType": "IdentifierPath",
"referencedDeclaration": 1832,
"src": "11239:8:11"
},
"referencedDeclaration": 1832,
"src": "11239:8:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"visibility": "internal"
}
],
"src": "11223:34:11"
},
"returnParameters": {
"id": 2538,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2537,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 2564,
"src": "11281:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2536,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "11281:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "11280:9:11"
},
"scope": 2691,
"src": "11209:248:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 2650,
"nodeType": "Block",
"src": "11771:600:11",
"statements": [
{
"assignments": [
2573
],
"declarations": [
{
"constant": false,
"id": 2573,
"mutability": "mutable",
"name": "result",
"nameLocation": "11789:6:11",
"nodeType": "VariableDeclaration",
"scope": 2650,
"src": "11781:14:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2572,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "11781:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 2575,
"initialValue": {
"hexValue": "30",
"id": 2574,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11798:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"nodeType": "VariableDeclarationStatement",
"src": "11781:18:11"
},
{
"id": 2647,
"nodeType": "UncheckedBlock",
"src": "11809:533:11",
"statements": [
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2580,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2578,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2576,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2567,
"src": "11837:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "313238",
"id": 2577,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11846:3:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_128_by_1",
"typeString": "int_const 128"
},
"value": "128"
},
"src": "11837:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2579,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11852:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "11837:16:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2590,
"nodeType": "IfStatement",
"src": "11833:98:11",
"trueBody": {
"id": 2589,
"nodeType": "Block",
"src": "11855:76:11",
"statements": [
{
"expression": {
"id": 2583,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2581,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2567,
"src": "11873:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": ">>=",
"rightHandSide": {
"hexValue": "313238",
"id": 2582,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11883:3:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_128_by_1",
"typeString": "int_const 128"
},
"value": "128"
},
"src": "11873:13:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2584,
"nodeType": "ExpressionStatement",
"src": "11873:13:11"
},
{
"expression": {
"id": 2587,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2585,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2573,
"src": "11904:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "3136",
"id": 2586,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11914:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_16_by_1",
"typeString": "int_const 16"
},
"value": "16"
},
"src": "11904:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2588,
"nodeType": "ExpressionStatement",
"src": "11904:12:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2595,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2593,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2591,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2567,
"src": "11948:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "3634",
"id": 2592,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11957:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_64_by_1",
"typeString": "int_const 64"
},
"value": "64"
},
"src": "11948:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2594,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11962:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "11948:15:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2605,
"nodeType": "IfStatement",
"src": "11944:95:11",
"trueBody": {
"id": 2604,
"nodeType": "Block",
"src": "11965:74:11",
"statements": [
{
"expression": {
"id": 2598,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2596,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2567,
"src": "11983:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": ">>=",
"rightHandSide": {
"hexValue": "3634",
"id": 2597,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "11993:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_64_by_1",
"typeString": "int_const 64"
},
"value": "64"
},
"src": "11983:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2599,
"nodeType": "ExpressionStatement",
"src": "11983:12:11"
},
{
"expression": {
"id": 2602,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2600,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2573,
"src": "12013:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "38",
"id": 2601,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12023:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_8_by_1",
"typeString": "int_const 8"
},
"value": "8"
},
"src": "12013:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2603,
"nodeType": "ExpressionStatement",
"src": "12013:11:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2610,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2608,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2606,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2567,
"src": "12056:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "3332",
"id": 2607,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12065:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_32_by_1",
"typeString": "int_const 32"
},
"value": "32"
},
"src": "12056:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2609,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12070:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "12056:15:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2620,
"nodeType": "IfStatement",
"src": "12052:95:11",
"trueBody": {
"id": 2619,
"nodeType": "Block",
"src": "12073:74:11",
"statements": [
{
"expression": {
"id": 2613,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2611,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2567,
"src": "12091:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": ">>=",
"rightHandSide": {
"hexValue": "3332",
"id": 2612,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12101:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_32_by_1",
"typeString": "int_const 32"
},
"value": "32"
},
"src": "12091:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2614,
"nodeType": "ExpressionStatement",
"src": "12091:12:11"
},
{
"expression": {
"id": 2617,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2615,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2573,
"src": "12121:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "34",
"id": 2616,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12131:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_4_by_1",
"typeString": "int_const 4"
},
"value": "4"
},
"src": "12121:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2618,
"nodeType": "ExpressionStatement",
"src": "12121:11:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2625,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2623,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2621,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2567,
"src": "12164:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "3136",
"id": 2622,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12173:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_16_by_1",
"typeString": "int_const 16"
},
"value": "16"
},
"src": "12164:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2624,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12178:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "12164:15:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2635,
"nodeType": "IfStatement",
"src": "12160:95:11",
"trueBody": {
"id": 2634,
"nodeType": "Block",
"src": "12181:74:11",
"statements": [
{
"expression": {
"id": 2628,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2626,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2567,
"src": "12199:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": ">>=",
"rightHandSide": {
"hexValue": "3136",
"id": 2627,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12209:2:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_16_by_1",
"typeString": "int_const 16"
},
"value": "16"
},
"src": "12199:12:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2629,
"nodeType": "ExpressionStatement",
"src": "12199:12:11"
},
{
"expression": {
"id": 2632,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2630,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2573,
"src": "12229:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "32",
"id": 2631,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12239:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_2_by_1",
"typeString": "int_const 2"
},
"value": "2"
},
"src": "12229:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2633,
"nodeType": "ExpressionStatement",
"src": "12229:11:11"
}
]
}
},
{
"condition": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2640,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2638,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2636,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2567,
"src": "12272:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">>",
"rightExpression": {
"hexValue": "38",
"id": 2637,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12281:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_8_by_1",
"typeString": "int_const 8"
},
"value": "8"
},
"src": "12272:10:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": ">",
"rightExpression": {
"hexValue": "30",
"id": 2639,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12285:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"src": "12272:14:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"id": 2646,
"nodeType": "IfStatement",
"src": "12268:64:11",
"trueBody": {
"id": 2645,
"nodeType": "Block",
"src": "12288:44:11",
"statements": [
{
"expression": {
"id": 2643,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftHandSide": {
"id": 2641,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2573,
"src": "12306:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "Assignment",
"operator": "+=",
"rightHandSide": {
"hexValue": "31",
"id": 2642,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12316:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"src": "12306:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"id": 2644,
"nodeType": "ExpressionStatement",
"src": "12306:11:11"
}
]
}
}
]
},
{
"expression": {
"id": 2648,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2573,
"src": "12358:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 2571,
"id": 2649,
"nodeType": "Return",
"src": "12351:13:11"
}
]
},
"documentation": {
"id": 2565,
"nodeType": "StructuredDocumentation",
"src": "11463:240:11",
"text": " @dev Return the log in base 256, rounded down, of a positive value.\n Returns 0 if given 0.\n Adding one to the result gives the number of pairs of hex symbols needed to represent `value` as a hex string."
},
"id": 2651,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "log256",
"nameLocation": "11717:6:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 2568,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2567,
"mutability": "mutable",
"name": "value",
"nameLocation": "11732:5:11",
"nodeType": "VariableDeclaration",
"scope": 2651,
"src": "11724:13:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2566,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "11724:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "11723:15:11"
},
"returnParameters": {
"id": 2571,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2570,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 2651,
"src": "11762:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2569,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "11762:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "11761:9:11"
},
"scope": 2691,
"src": "11708:663:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
},
{
"body": {
"id": 2689,
"nodeType": "Block",
"src": "12608:174:11",
"statements": [
{
"id": 2688,
"nodeType": "UncheckedBlock",
"src": "12618:158:11",
"statements": [
{
"assignments": [
2663
],
"declarations": [
{
"constant": false,
"id": 2663,
"mutability": "mutable",
"name": "result",
"nameLocation": "12650:6:11",
"nodeType": "VariableDeclaration",
"scope": 2688,
"src": "12642:14:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2662,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "12642:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"id": 2667,
"initialValue": {
"arguments": [
{
"id": 2665,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2654,
"src": "12666:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"expression": {
"argumentTypes": [
{
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
],
"id": 2664,
"name": "log256",
"nodeType": "Identifier",
"overloadedDeclarations": [
2651,
2690
],
"referencedDeclaration": 2651,
"src": "12659:6:11",
"typeDescriptions": {
"typeIdentifier": "t_function_internal_pure$_t_uint256_$returns$_t_uint256_$",
"typeString": "function (uint256) pure returns (uint256)"
}
},
"id": 2666,
"isConstant": false,
"isLValue": false,
"isPure": false,
"kind": "functionCall",
"lValueRequested": false,
"nameLocations": [],
"names": [],
"nodeType": "FunctionCall",
"src": "12659:13:11",
"tryCall": false,
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "VariableDeclarationStatement",
"src": "12642:30:11"
},
{
"expression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2686,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2668,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2663,
"src": "12693:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "+",
"rightExpression": {
"components": [
{
"condition": {
"commonType": {
"typeIdentifier": "t_bool",
"typeString": "bool"
},
"id": 2681,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
},
"id": 2672,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2669,
"name": "rounding",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2657,
"src": "12703:8:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"nodeType": "BinaryOperation",
"operator": "==",
"rightExpression": {
"expression": {
"id": 2670,
"name": "Rounding",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 1832,
"src": "12715:8:11",
"typeDescriptions": {
"typeIdentifier": "t_type$_t_enum$_Rounding_$1832_$",
"typeString": "type(enum Math.Rounding)"
}
},
"id": 2671,
"isConstant": false,
"isLValue": false,
"isPure": true,
"lValueRequested": false,
"memberLocation": "12724:2:11",
"memberName": "Up",
"nodeType": "MemberAccess",
"referencedDeclaration": 1830,
"src": "12715:11:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"src": "12703:23:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"nodeType": "BinaryOperation",
"operator": "&&",
"rightExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2680,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2678,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"hexValue": "31",
"id": 2673,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12730:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"nodeType": "BinaryOperation",
"operator": "<<",
"rightExpression": {
"components": [
{
"commonType": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"id": 2676,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"leftExpression": {
"id": 2674,
"name": "result",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2663,
"src": "12736:6:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "<<",
"rightExpression": {
"hexValue": "33",
"id": 2675,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12746:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_3_by_1",
"typeString": "int_const 3"
},
"value": "3"
},
"src": "12736:11:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
}
],
"id": 2677,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "12735:13:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "12730:18:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"nodeType": "BinaryOperation",
"operator": "<",
"rightExpression": {
"id": 2679,
"name": "value",
"nodeType": "Identifier",
"overloadedDeclarations": [],
"referencedDeclaration": 2654,
"src": "12751:5:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"src": "12730:26:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"src": "12703:53:11",
"typeDescriptions": {
"typeIdentifier": "t_bool",
"typeString": "bool"
}
},
"falseExpression": {
"hexValue": "30",
"id": 2683,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12763:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_0_by_1",
"typeString": "int_const 0"
},
"value": "0"
},
"id": 2684,
"isConstant": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "Conditional",
"src": "12703:61:11",
"trueExpression": {
"hexValue": "31",
"id": 2682,
"isConstant": false,
"isLValue": false,
"isPure": true,
"kind": "number",
"lValueRequested": false,
"nodeType": "Literal",
"src": "12759:1:11",
"typeDescriptions": {
"typeIdentifier": "t_rational_1_by_1",
"typeString": "int_const 1"
},
"value": "1"
},
"typeDescriptions": {
"typeIdentifier": "t_uint8",
"typeString": "uint8"
}
}
],
"id": 2685,
"isConstant": false,
"isInlineArray": false,
"isLValue": false,
"isPure": false,
"lValueRequested": false,
"nodeType": "TupleExpression",
"src": "12702:63:11",
"typeDescriptions": {
"typeIdentifier": "t_uint8",
"typeString": "uint8"
}
},
"src": "12693:72:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"functionReturnParameters": 2661,
"id": 2687,
"nodeType": "Return",
"src": "12686:79:11"
}
]
}
]
},
"documentation": {
"id": 2652,
"nodeType": "StructuredDocumentation",
"src": "12377:144:11",
"text": " @dev Return the log in base 256, following the selected rounding direction, of a positive value.\n Returns 0 if given 0."
},
"id": 2690,
"implemented": true,
"kind": "function",
"modifiers": [],
"name": "log256",
"nameLocation": "12535:6:11",
"nodeType": "FunctionDefinition",
"parameters": {
"id": 2658,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2654,
"mutability": "mutable",
"name": "value",
"nameLocation": "12550:5:11",
"nodeType": "VariableDeclaration",
"scope": 2690,
"src": "12542:13:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2653,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "12542:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
},
{
"constant": false,
"id": 2657,
"mutability": "mutable",
"name": "rounding",
"nameLocation": "12566:8:11",
"nodeType": "VariableDeclaration",
"scope": 2690,
"src": "12557:17:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
},
"typeName": {
"id": 2656,
"nodeType": "UserDefinedTypeName",
"pathNode": {
"id": 2655,
"name": "Rounding",
"nameLocations": [
"12557:8:11"
],
"nodeType": "IdentifierPath",
"referencedDeclaration": 1832,
"src": "12557:8:11"
},
"referencedDeclaration": 1832,
"src": "12557:8:11",
"typeDescriptions": {
"typeIdentifier": "t_enum$_Rounding_$1832",
"typeString": "enum Math.Rounding"
}
},
"visibility": "internal"
}
],
"src": "12541:34:11"
},
"returnParameters": {
"id": 2661,
"nodeType": "ParameterList",
"parameters": [
{
"constant": false,
"id": 2660,
"mutability": "mutable",
"name": "",
"nameLocation": "-1:-1:-1",
"nodeType": "VariableDeclaration",
"scope": 2690,
"src": "12599:7:11",
"stateVariable": false,
"storageLocation": "default",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
},
"typeName": {
"id": 2659,
"name": "uint256",
"nodeType": "ElementaryTypeName",
"src": "12599:7:11",
"typeDescriptions": {
"typeIdentifier": "t_uint256",
"typeString": "uint256"
}
},
"visibility": "internal"
}
],
"src": "12598:9:11"
},
"scope": 2691,
"src": "12526:256:11",
"stateMutability": "pure",
"virtual": false,
"visibility": "internal"
}
],
"scope": 2692,
"src": "202:12582:11",
"usedErrors": []
}
],
"src": "103:12682:11"
},
"compiler": {
"name": "solc",
"version": "0.8.19+commit.7dd6d404.Emscripten.clang"
},
"networks": {},
"schemaVersion": "3.4.13",
"updatedAt": "2023-06-04T09:28:33.987Z",
"devdoc": {
"details": "Standard math utilities missing in the Solidity language.",
"kind": "dev",
"methods": {},
"version": 1
},
"userdoc": {
"kind": "user",
"methods": {},
"version": 1
}
}
Reference in New Issue View Git Blame Copy Permalink