{ "contractName": "Math", "abi": [], "bytecode": "0x604c602c600b82828239805160001a60731460008114601c57601e565bfe5b5030600052607381538281f30073000000000000000000000000000000000000000030146080604052600080fd00a165627a7a723058209f5520b821084c896943e65f0cd08b5ece885723eeebf11066a4b851b58392350029", "deployedBytecode": "0x73000000000000000000000000000000000000000030146080604052600080fd00a165627a7a723058209f5520b821084c896943e65f0cd08b5ece885723eeebf11066a4b851b58392350029", "sourceMap": "83:404:26:-;;132:2:-1;166:7;155:9;146:7;137:37;252:7;246:14;243:1;238:23;232:4;229:33;270:1;265:20;;;;222:63;;265:20;274:9;222:63;;298:9;295:1;288:20;328:4;319:7;311:22;352:7;343;336:24", "deployedSourceMap": "83:404:26:-;;;;;;;;", "source": "pragma solidity ^0.4.24;\n\n\n/**\n * @title Math\n * @dev Assorted math operations\n */\nlibrary Math {\n function max(uint256 a, uint256 b) internal pure returns (uint256) {\n return a >= b ? a : b;\n }\n\n function min(uint256 a, uint256 b) internal pure returns (uint256) {\n return a < b ? a : b;\n }\n\n function average(uint256 a, uint256 b) internal pure returns (uint256) {\n // (a + b) / 2 can overflow, so we distribute\n return (a / 2) + (b / 2) + ((a % 2 + b % 2) / 2);\n }\n}\n", "sourcePath": "openzeppelin-eth/contracts/math/Math.sol", "ast": { "absolutePath": "openzeppelin-eth/contracts/math/Math.sol", "exportedSymbols": { "Math": [ 2944 ] }, "id": 2945, "nodeType": "SourceUnit", "nodes": [ { "id": 2877, "literals": [ "solidity", "^", "0.4", ".24" ], "nodeType": "PragmaDirective", "src": "0:24:26" }, { "baseContracts": [], "contractDependencies": [], "contractKind": "library", "documentation": "@title Math\n@dev Assorted math operations", "fullyImplemented": true, "id": 2944, "linearizedBaseContracts": [ 2944 ], "name": "Math", "nodeType": "ContractDefinition", "nodes": [ { "body": { "id": 2893, "nodeType": "Block", "src": "167:32:26", "statements": [ { "expression": { "argumentTypes": null, "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2888, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2886, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2879, "src": "180:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "id": 2887, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2881, "src": "185:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "180:6:26", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseExpression": { "argumentTypes": null, "id": 2890, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2881, "src": "193:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 2891, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "Conditional", "src": "180:14:26", "trueExpression": { "argumentTypes": null, "id": 2889, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2879, "src": "189:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 2885, "id": 2892, "nodeType": "Return", "src": "173:21:26" } ] }, "documentation": null, "id": 2894, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "max", "nodeType": "FunctionDefinition", "parameters": { "id": 2882, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2879, "name": "a", "nodeType": "VariableDeclaration", "scope": 2894, "src": "113:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2878, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "113:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 2881, "name": "b", "nodeType": "VariableDeclaration", "scope": 2894, "src": "124:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2880, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "124:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "112:22:26" }, "payable": false, "returnParameters": { "id": 2885, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2884, "name": "", "nodeType": "VariableDeclaration", "scope": 2894, "src": "158:7:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2883, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "158:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "157:9:26" }, "scope": 2944, "src": "100:99:26", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 2910, "nodeType": "Block", "src": "270:31:26", "statements": [ { "expression": { "argumentTypes": null, "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2905, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2903, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2896, "src": "283:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 2904, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2898, "src": "287:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "283:5:26", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseExpression": { "argumentTypes": null, "id": 2907, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2898, "src": "295:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 2908, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "Conditional", "src": "283:13:26", "trueExpression": { "argumentTypes": null, "id": 2906, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2896, "src": "291:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 2902, "id": 2909, "nodeType": "Return", "src": "276:20:26" } ] }, "documentation": null, "id": 2911, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "min", "nodeType": "FunctionDefinition", "parameters": { "id": 2899, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2896, "name": "a", "nodeType": "VariableDeclaration", "scope": 2911, "src": "216:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2895, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "216:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 2898, "name": "b", "nodeType": "VariableDeclaration", "scope": 2911, "src": "227:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2897, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "227:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "215:22:26" }, "payable": false, "returnParameters": { "id": 2902, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2901, "name": "", "nodeType": "VariableDeclaration", "scope": 2911, "src": "261:7:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2900, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "261:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "260:9:26" }, "scope": 2944, "src": "203:98:26", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 2942, "nodeType": "Block", "src": "376:109:26", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2940, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2928, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2922, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2920, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2913, "src": "440:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 2921, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "444:1:26", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "440:5:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 2923, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "439:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2926, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2924, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2915, "src": "450:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 2925, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "454:1:26", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "450:5:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 2927, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "449:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "439:17:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2938, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2935, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2931, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2929, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2913, "src": "461:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 2930, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "465:1:26", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "461:5:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2934, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2932, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2915, "src": "469:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 2933, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "473:1:26", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "469:5:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "461:13:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 2936, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "460:15:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 2937, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "478:1:26", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "460:19:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 2939, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "459:21:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "439:41:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 2919, "id": 2941, "nodeType": "Return", "src": "432:48:26" } ] }, "documentation": null, "id": 2943, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "average", "nodeType": "FunctionDefinition", "parameters": { "id": 2916, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2913, "name": "a", "nodeType": "VariableDeclaration", "scope": 2943, "src": "322:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2912, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "322:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 2915, "name": "b", "nodeType": "VariableDeclaration", "scope": 2943, "src": "333:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2914, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "333:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "321:22:26" }, "payable": false, "returnParameters": { "id": 2919, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2918, "name": "", "nodeType": "VariableDeclaration", "scope": 2943, "src": "367:7:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2917, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "367:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "366:9:26" }, "scope": 2944, "src": "305:180:26", "stateMutability": "pure", "superFunction": null, "visibility": "internal" } ], "scope": 2945, "src": "83:404:26" } ], "src": "0:488:26" }, "legacyAST": { "absolutePath": "openzeppelin-eth/contracts/math/Math.sol", "exportedSymbols": { "Math": [ 2944 ] }, "id": 2945, "nodeType": "SourceUnit", "nodes": [ { "id": 2877, "literals": [ "solidity", "^", "0.4", ".24" ], "nodeType": "PragmaDirective", "src": "0:24:26" }, { "baseContracts": [], "contractDependencies": [], "contractKind": "library", "documentation": "@title Math\n@dev Assorted math operations", "fullyImplemented": true, "id": 2944, "linearizedBaseContracts": [ 2944 ], "name": "Math", "nodeType": "ContractDefinition", "nodes": [ { "body": { "id": 2893, "nodeType": "Block", "src": "167:32:26", "statements": [ { "expression": { "argumentTypes": null, "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2888, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2886, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2879, "src": "180:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "id": 2887, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2881, "src": "185:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "180:6:26", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseExpression": { "argumentTypes": null, "id": 2890, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2881, "src": "193:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 2891, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "Conditional", "src": "180:14:26", "trueExpression": { "argumentTypes": null, "id": 2889, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2879, "src": "189:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 2885, "id": 2892, "nodeType": "Return", "src": "173:21:26" } ] }, "documentation": null, "id": 2894, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "max", "nodeType": "FunctionDefinition", "parameters": { "id": 2882, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2879, "name": "a", "nodeType": "VariableDeclaration", "scope": 2894, "src": "113:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2878, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "113:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 2881, "name": "b", "nodeType": "VariableDeclaration", "scope": 2894, "src": "124:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2880, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "124:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "112:22:26" }, "payable": false, "returnParameters": { "id": 2885, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2884, "name": "", "nodeType": "VariableDeclaration", "scope": 2894, "src": "158:7:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2883, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "158:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "157:9:26" }, "scope": 2944, "src": "100:99:26", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 2910, "nodeType": "Block", "src": "270:31:26", "statements": [ { "expression": { "argumentTypes": null, "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2905, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2903, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2896, "src": "283:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 2904, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2898, "src": "287:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "283:5:26", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseExpression": { "argumentTypes": null, "id": 2907, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2898, "src": "295:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 2908, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "Conditional", "src": "283:13:26", "trueExpression": { "argumentTypes": null, "id": 2906, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2896, "src": "291:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 2902, "id": 2909, "nodeType": "Return", "src": "276:20:26" } ] }, "documentation": null, "id": 2911, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "min", "nodeType": "FunctionDefinition", "parameters": { "id": 2899, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2896, "name": "a", "nodeType": "VariableDeclaration", "scope": 2911, "src": "216:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2895, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "216:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 2898, "name": "b", "nodeType": "VariableDeclaration", "scope": 2911, "src": "227:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2897, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "227:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "215:22:26" }, "payable": false, "returnParameters": { "id": 2902, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2901, "name": "", "nodeType": "VariableDeclaration", "scope": 2911, "src": "261:7:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2900, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "261:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "260:9:26" }, "scope": 2944, "src": "203:98:26", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 2942, "nodeType": "Block", "src": "376:109:26", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2940, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2928, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2922, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2920, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2913, "src": "440:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 2921, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "444:1:26", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "440:5:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 2923, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "439:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2926, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2924, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2915, "src": "450:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 2925, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "454:1:26", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "450:5:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 2927, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "449:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "439:17:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2938, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2935, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2931, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2929, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2913, "src": "461:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 2930, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "465:1:26", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "461:5:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 2934, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 2932, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2915, "src": "469:1:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 2933, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "473:1:26", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "469:5:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "461:13:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 2936, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "460:15:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 2937, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "478:1:26", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "460:19:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 2939, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "459:21:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "439:41:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 2919, "id": 2941, "nodeType": "Return", "src": "432:48:26" } ] }, "documentation": null, "id": 2943, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "average", "nodeType": "FunctionDefinition", "parameters": { "id": 2916, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2913, "name": "a", "nodeType": "VariableDeclaration", "scope": 2943, "src": "322:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2912, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "322:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 2915, "name": "b", "nodeType": "VariableDeclaration", "scope": 2943, "src": "333:9:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2914, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "333:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "321:22:26" }, "payable": false, "returnParameters": { "id": 2919, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 2918, "name": "", "nodeType": "VariableDeclaration", "scope": 2943, "src": "367:7:26", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 2917, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "367:7:26", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "366:9:26" }, "scope": 2944, "src": "305:180:26", "stateMutability": "pure", "superFunction": null, "visibility": "internal" } ], "scope": 2945, "src": "83:404:26" } ], "src": "0:488:26" }, "compiler": { "name": "solc", "version": "0.4.24+commit.e67f0147.Emscripten.clang" }, "networks": {}, "schemaVersion": "2.0.1", "updatedAt": "2018-10-31T13:24:20.731Z" }