{ "fileName": "Arrays.sol", "contractName": "Arrays", "source": "pragma solidity ^0.6.0;\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": "117:1326:99:-:0;;132:2:-1;166:7;155:9;146:7;137:37;255:7;249:14;246:1;241:23;235:4;232:33;222:2;;269:9;222:2;293:9;290:1;283:20;323:4;314:7;306:22;347:7;338;331:24", "deployedSourceMap": "117:1326:99:-:0;;;;;;12:1:-1;9;2:12", "abi": [], "ast": { "absolutePath": "contracts/utils/Arrays.sol", "exportedSymbols": { "Arrays": [ 14022 ] }, "id": 14023, "nodeType": "SourceUnit", "nodes": [ { "id": 13939, "literals": [ "solidity", "^", "0.6", ".0" ], "nodeType": "PragmaDirective", "src": "0:23:99" }, { "absolutePath": "contracts/math/Math.sol", "file": "../math/Math.sol", "id": 13940, "nodeType": "ImportDirective", "scope": 14023, "sourceUnit": 2957, "src": "25:26:99", "symbolAliases": [], "unitAlias": "" }, { "abstract": false, "baseContracts": [], "contractDependencies": [], "contractKind": "library", "documentation": { "id": 13941, "nodeType": "StructuredDocumentation", "src": "53:63:99", "text": "@dev Collection of functions related to array types." }, "fullyImplemented": true, "id": 14022, "linearizedBaseContracts": [ 14022 ], "name": "Arrays", "nodeType": "ContractDefinition", "nodes": [ { "body": { "id": 14020, "nodeType": "Block", "src": "647:794:99", "statements": [ { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 13955, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 13952, "name": "array", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13945, "src": "661:5:99", "typeDescriptions": { "typeIdentifier": "t_array$_t_uint256_$dyn_storage_ptr", "typeString": "uint256[] storage pointer" } }, "id": 13953, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "length", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "661:12:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 13954, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "677:1:99", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "661:17:99", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 13959, "nodeType": "IfStatement", "src": "657:56:99", "trueBody": { "id": 13958, "nodeType": "Block", "src": "680:33:99", "statements": [ { "expression": { "argumentTypes": null, "hexValue": "30", "id": 13956, "isConstant": false, "isLValue": false, 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false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "737:1:99", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "nodeType": "VariableDeclarationStatement", "src": "723:15:99" }, { "assignments": [ 13965 ], "declarations": [ { "constant": false, "id": 13965, "mutability": "mutable", "name": "high", "nodeType": "VariableDeclaration", "overrides": null, "scope": 14020, "src": "748:12:99", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 13964, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "748:7:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 13968, "initialValue": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 13966, "name": "array", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13945, "src": "763:5:99", "typeDescriptions": { "typeIdentifier": "t_array$_t_uint256_$dyn_storage_ptr", "typeString": "uint256[] storage pointer" } }, "id": 13967, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "length", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "763:12:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "748:27:99" }, { "body": { "id": 13998, "nodeType": "Block", "src": "805:395:99", "statements": [ { "assignments": [ 13973 ], "declarations": [ { "constant": false, "id": 13973, "mutability": "mutable", "name": "mid", "nodeType": "VariableDeclaration", "overrides": null, "scope": 13998, "src": "819:11:99", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 13972, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "819:7:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 13979, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 13976, "name": "low", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13961, "src": "846:3:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 13977, "name": "high", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13965, "src": "851:4:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "expression": { "argumentTypes": null, "id": 13974, "name": "Math", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 2956, "src": "833:4:99", "typeDescriptions": { "typeIdentifier": "t_type$_t_contract$_Math_$2956_$", "typeString": "type(library Math)" } }, "id": 13975, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "average", "nodeType": "MemberAccess", "referencedDeclaration": 2955, "src": "833:12:99", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (uint256)" } }, "id": 13978, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "833:23:99", "tryCall": false, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "819:37:99" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 13984, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "baseExpression": { "argumentTypes": null, "id": 13980, "name": "array", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13945, "src": "1073:5:99", "typeDescriptions": { "typeIdentifier": "t_array$_t_uint256_$dyn_storage_ptr", "typeString": "uint256[] storage pointer" } }, "id": 13982, "indexExpression": { "argumentTypes": null, "id": 13981, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13973, "src": "1079:3:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "nodeType": "IndexAccess", "src": "1073:10:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "id": 13983, "name": "element", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13947, "src": "1086:7:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1073:20:99", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "id": 13996, "nodeType": "Block", "src": "1144:46:99", "statements": [ { "expression": { "argumentTypes": null, "id": 13994, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 13990, "name": "low", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13961, "src": "1162:3:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", 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"typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 13995, "nodeType": "ExpressionStatement", "src": "1162:13:99" } ] }, "id": 13997, "nodeType": "IfStatement", "src": "1069:121:99", "trueBody": { "id": 13989, "nodeType": "Block", "src": "1095:43:99", "statements": [ { "expression": { "argumentTypes": null, "id": 13987, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 13985, "name": "high", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13965, "src": "1113:4:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "id": 13986, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13973, "src": "1120:3:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1113:10:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 13988, "nodeType": "ExpressionStatement", "src": "1113:10:99" } ] } } ] }, "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 13971, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 13969, "name": "low", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13961, "src": "793:3:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 13970, "name": "high", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13965, "src": "799:4:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "793:10:99", 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"nodeType": "IndexAccess", "src": "1328:14:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "id": 14008, "name": "element", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13947, "src": "1346:7:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1328:25:99", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "1317:36:99", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "id": 14018, "nodeType": "Block", "src": "1400:35:99", "statements": [ { "expression": { "argumentTypes": null, "id": 14016, "name": "low", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 13961, "src": "1421:3:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, 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If no such index exists (i.e. all\nvalues in the array are strictly less than `element`), the array length is\nreturned. Time complexity O(log n).\n * `array` is expected to be sorted in ascending order, and to contain no\nrepeated elements." }, "id": 14021, "implemented": true, "kind": "function", "modifiers": [], "name": "findUpperBound", "nodeType": "FunctionDefinition", "overrides": null, "parameters": { "id": 13948, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 13945, "mutability": "mutable", "name": "array", "nodeType": "VariableDeclaration", "overrides": null, "scope": 14021, "src": "573:23:99", "stateVariable": false, "storageLocation": "storage", "typeDescriptions": { "typeIdentifier": "t_array$_t_uint256_$dyn_storage_ptr", "typeString": "uint256[]" }, "typeName": { "baseType": { "id": 13943, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "573:7:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 13944, "length": null, "nodeType": "ArrayTypeName", "src": "573:9:99", "typeDescriptions": { "typeIdentifier": "t_array$_t_uint256_$dyn_storage_ptr", "typeString": "uint256[]" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 13947, "mutability": "mutable", "name": "element", "nodeType": "VariableDeclaration", "overrides": null, "scope": 14021, "src": "598:15:99", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 13946, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "598:7:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "572:42:99" }, "returnParameters": { "id": 13951, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 13950, "mutability": "mutable", "name": "", "nodeType": "VariableDeclaration", "overrides": null, "scope": 14021, "src": "638:7:99", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 13949, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "638:7:99", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "637:9:99" }, "scope": 14022, "src": "549:892:99", "stateMutability": "view", "virtual": false, "visibility": "internal" } ], "scope": 14023, "src": "117:1326:99" } ], "src": "0:1444:99" }, "bytecode": "0x60566023600b82828239805160001a607314601657fe5b30600052607381538281f3fe73000000000000000000000000000000000000000030146080604052600080fdfea26469706673582212206150990214e0d97a6d5c99695f44c747aed542c7def8e054149735194b46f08764736f6c63430006070033", "deployedBytecode": "0x73000000000000000000000000000000000000000030146080604052600080fdfea26469706673582212206150990214e0d97a6d5c99695f44c747aed542c7def8e054149735194b46f08764736f6c63430006070033", "compiler": { "name": "solc", "version": "0.6.7+commit.b8d736ae.Emscripten.clang", "optimizer": { "enabled": true, "runs": 200 }, "evmVersion": "petersburg" } }