{ "fileName": "Arrays.sol", "contractName": "Arrays", "source": "// SPDX-License-Identifier: MIT\n\npragma solidity ^0.7.0;\n\nimport \"../math/Math.sol\";\n\n/**\n * @dev Collection of functions related to array types.\n */\nlibrary Arrays {\n /**\n * @dev Searches a sorted `array` and returns the first index that contains\n * a value greater or equal to `element`. If no such index exists (i.e. all\n * values in the array are strictly less than `element`), the array length is\n * returned. Time complexity O(log n).\n *\n * `array` is expected to be sorted in ascending order, and to contain no\n * repeated elements.\n */\n function findUpperBound(uint256[] storage array, uint256 element) internal view returns (uint256) {\n if (array.length == 0) {\n return 0;\n }\n\n uint256 low = 0;\n uint256 high = array.length;\n\n while (low < high) {\n uint256 mid = Math.average(low, high);\n\n // Note that mid will always be strictly less than high (i.e. it will be a valid array index)\n // because Math.average rounds down (it does integer division with truncation).\n if (array[mid] > element) {\n high = mid;\n } else {\n low = mid + 1;\n }\n }\n\n // At this point `low` is the exclusive upper bound. We will return the inclusive upper bound.\n if (low > 0 && array[low - 1] == element) {\n return low - 1;\n } else {\n return low;\n }\n }\n}\n", "sourcePath": "contracts/utils/Arrays.sol", "sourceMap": "150:1326:105:-:0;;;;;;;;;;;;;;;;;;;;;;;;;", "deployedSourceMap": "150:1326:105:-:0;;;;;;;;", "abi": [], "ast": { "absolutePath": "contracts/utils/Arrays.sol", "exportedSymbols": { "Arrays": [ 12896 ] }, "id": 12897, "license": "MIT", "nodeType": "SourceUnit", "nodes": [ { "id": 12813, "literals": [ "solidity", "^", "0.7", ".0" ], "nodeType": "PragmaDirective", "src": "33:23:105" }, { "absolutePath": "contracts/math/Math.sol", "file": "../math/Math.sol", "id": 12814, "nodeType": "ImportDirective", "scope": 12897, "sourceUnit": 2226, "src": "58:26:105", "symbolAliases": [], "unitAlias": "" }, { "abstract": false, "baseContracts": [], "contractDependencies": [], "contractKind": "library", "documentation": { "id": 12815, "nodeType": "StructuredDocumentation", "src": "86:63:105", "text": " @dev Collection of functions related to array types." }, "fullyImplemented": true, "id": 12896, "linearizedBaseContracts": [ 12896 ], "name": "Arrays", "nodeType": "ContractDefinition", "nodes": [ { "body": { "id": 12894, "nodeType": "Block", "src": "680:794:105", "statements": [ { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 12829, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 12826, "name": "array", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12819, "src": "694:5:105", "typeDescriptions": { "typeIdentifier": "t_array$_t_uint256_$dyn_storage_ptr", "typeString": "uint256[] storage pointer" } }, "id": 12827, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "length", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "694:12:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 12828, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "710:1:105", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "694:17:105", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 12833, "nodeType": "IfStatement", "src": "690:56:105", "trueBody": { "id": 12832, "nodeType": "Block", "src": "713:33:105", "statements": [ { "expression": { "argumentTypes": null, "hexValue": "30", "id": 12830, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "734:1:105", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "functionReturnParameters": 12825, "id": 12831, "nodeType": "Return", "src": "727:8:105" } ] } }, { "assignments": [ 12835 ], "declarations": [ { "constant": false, "id": 12835, "mutability": "mutable", "name": "low", "nodeType": "VariableDeclaration", "overrides": null, "scope": 12894, "src": "756:11:105", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 12834, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "756:7:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 12837, "initialValue": { "argumentTypes": null, "hexValue": "30", "id": 12836, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "770:1:105", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "nodeType": "VariableDeclarationStatement", "src": "756:15:105" }, { "assignments": [ 12839 ], "declarations": [ { "constant": false, "id": 12839, "mutability": "mutable", "name": "high", "nodeType": "VariableDeclaration", "overrides": null, "scope": 12894, "src": "781:12:105", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 12838, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "781:7:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 12842, "initialValue": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 12840, "name": "array", "nodeType": "Identifier", "overloadedDeclarations": [], 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"uint256", "nodeType": "ElementaryTypeName", "src": "852:7:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 12853, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 12850, "name": "low", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12835, "src": "879:3:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 12851, "name": "high", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12839, "src": "884:4:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "expression": { "argumentTypes": null, "id": 12848, "name": "Math", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2225, "src": "866:4:105", "typeDescriptions": { "typeIdentifier": "t_type$_t_contract$_Math_$2225_$", "typeString": "type(library Math)" } }, "id": 12849, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "average", "nodeType": "MemberAccess", "referencedDeclaration": 2224, "src": "866:12:105", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (uint256)" } }, "id": 12852, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "866:23:105", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "852:37:105" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 12858, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "baseExpression": { "argumentTypes": null, "id": 12854, "name": "array", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12819, "src": "1106:5:105", "typeDescriptions": { "typeIdentifier": "t_array$_t_uint256_$dyn_storage_ptr", "typeString": "uint256[] storage pointer" } }, "id": 12856, "indexExpression": { "argumentTypes": null, "id": 12855, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12847, "src": "1112:3:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "nodeType": "IndexAccess", "src": "1106:10:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "id": 12857, "name": "element", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12821, "src": "1119:7:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1106:20:105", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "id": 12870, "nodeType": "Block", "src": "1177:46:105", "statements": [ { "expression": { "argumentTypes": null, "id": 12868, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 12864, "name": "low", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12835, "src": "1195:3:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { 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"typeString": "uint256" } }, "id": 12869, "nodeType": "ExpressionStatement", "src": "1195:13:105" } ] }, "id": 12871, "nodeType": "IfStatement", "src": "1102:121:105", "trueBody": { "id": 12863, "nodeType": "Block", "src": "1128:43:105", "statements": [ { "expression": { "argumentTypes": null, "id": 12861, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 12859, "name": "high", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12839, "src": "1146:4:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "id": 12860, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12847, "src": "1153:3:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1146:10:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 12862, "nodeType": "ExpressionStatement", "src": "1146:10:105" } ] } } ] }, "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 12845, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 12843, "name": "low", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12835, "src": "826:3:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 12844, "name": "high", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12839, "src": "832:4:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "826:10:105", "typeDescriptions": { "typeIdentifier": "t_bool", 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"nodeType": "Literal", "src": "1356:1:105", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "1350:7:105", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 12883, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "baseExpression": { "argumentTypes": null, "id": 12877, "name": "array", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12819, "src": "1361:5:105", "typeDescriptions": { "typeIdentifier": "t_array$_t_uint256_$dyn_storage_ptr", "typeString": "uint256[] storage pointer" } }, "id": 12881, "indexExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", 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"src": "1361:14:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "id": 12882, "name": "element", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12821, "src": "1379:7:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1361:25:105", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "1350:36:105", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "id": 12892, "nodeType": "Block", "src": "1433:35:105", "statements": [ { "expression": { "argumentTypes": null, "id": 12890, "name": "low", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12835, "src": "1454:3:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 12825, "id": 12891, "nodeType": "Return", "src": "1447:10:105" } ] }, "id": 12893, "nodeType": "IfStatement", "src": "1346:122:105", "trueBody": { "id": 12889, "nodeType": "Block", "src": "1388:39:105", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 12887, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 12885, "name": "low", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 12835, "src": "1409:3:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "hexValue": "31", "id": 12886, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1415:1:105", "subdenomination": null, "typeDescriptions": { 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If no such index exists (i.e. all\n values in the array are strictly less than `element`), the array length is\n returned. Time complexity O(log n).\n `array` is expected to be sorted in ascending order, and to contain no\n repeated elements." }, "id": 12895, "implemented": true, "kind": "function", "modifiers": [], "name": "findUpperBound", "nodeType": "FunctionDefinition", "overrides": null, "parameters": { "id": 12822, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 12819, "mutability": "mutable", "name": "array", "nodeType": "VariableDeclaration", "overrides": null, "scope": 12895, "src": "606:23:105", "stateVariable": false, "storageLocation": "storage", "typeDescriptions": { "typeIdentifier": "t_array$_t_uint256_$dyn_storage_ptr", "typeString": "uint256[]" }, "typeName": { "baseType": { "id": 12817, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "606:7:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 12818, "length": null, "nodeType": "ArrayTypeName", "src": "606:9:105", "typeDescriptions": { "typeIdentifier": "t_array$_t_uint256_$dyn_storage_ptr", "typeString": "uint256[]" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 12821, "mutability": "mutable", "name": "element", "nodeType": "VariableDeclaration", "overrides": null, "scope": 12895, "src": "631:15:105", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 12820, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "631:7:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "605:42:105" }, "returnParameters": { "id": 12825, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 12824, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "overrides": null, "scope": 12895, "src": "671:7:105", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 12823, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "671:7:105", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "670:9:105" }, "scope": 12896, "src": "582:892:105", "stateMutability": "view", "virtual": false, "visibility": "internal" } ], "scope": 12897, "src": "150:1326:105" } ], "src": "33:1444:105" }, "bytecode": "0x60566023600b82828239805160001a607314601657fe5b30600052607381538281f3fe73000000000000000000000000000000000000000030146080604052600080fdfea2646970667358221220e51bf86a0fea730849b2126d8052353c1cc7505f2534bb3e4cb624a3f3ee523e64736f6c63430007000033", "deployedBytecode": "0x73000000000000000000000000000000000000000030146080604052600080fdfea2646970667358221220e51bf86a0fea730849b2126d8052353c1cc7505f2534bb3e4cb624a3f3ee523e64736f6c63430007000033", "compiler": { "name": "solc", "version": "0.7.0+commit.9e61f92b.Emscripten.clang", "optimizer": { "enabled": false, "runs": 200 }, "evmVersion": "petersburg" } }