{ "contractName": "Exponential", "abi": [], "metadata": "{\"compiler\":{\"version\":\"0.5.12+commit.7709ece9\"},\"language\":\"Solidity\",\"output\":{\"abi\":[],\"devdoc\":{\"author\":\"Compound\",\"methods\":{},\"title\":\"Exponential module for storing fixed-decision decimals\"},\"userdoc\":{\"methods\":{},\"notice\":\"Exp is a struct which stores decimals with a fixed precision of 18 decimal places. Thus, if we wanted to store the 5.1, mantissa would store 5.1e18. That is: `Exp({mantissa: 5100000000000000000})`.\"}},\"settings\":{\"compilationTarget\":{\"/home/runner/work/rtoken-contracts/rtoken-contracts/packages/contracts/compound/contracts/Exponential.sol\":\"Exponential\"},\"evmVersion\":\"petersburg\",\"libraries\":{},\"optimizer\":{\"enabled\":true,\"runs\":200},\"remappings\":[]},\"sources\":{\"/home/runner/work/rtoken-contracts/rtoken-contracts/packages/contracts/compound/contracts/CarefulMath.sol\":{\"keccak256\":\"0xbeb605bfb980199c42701b9557bcffffa3a845c6386adfc6130568d9f3f38495\",\"urls\":[\"bzz-raw://6595932dbb88fb67d81694ab43f9dd42124e3db91d3b29d8c226577c1a96481a\",\"dweb:/ipfs/Qmb66bD8XPmJBH1eShryFwWUAWEyAx4uHzDdLQs1mZMVTe\"]},\"/home/runner/work/rtoken-contracts/rtoken-contracts/packages/contracts/compound/contracts/Exponential.sol\":{\"keccak256\":\"0x5578daa70764231d35e464fdb46d473d1a08c727ef5676c7b12015948b218dbf\",\"urls\":[\"bzz-raw://ef86f477727842fea96169716f57a53b1307d9f0d4770d5963c0df0ef029f0d0\",\"dweb:/ipfs/Qmahf4aXZGnMMmuY6gebrTCWd64rPHuToSeqhkeFXL7T62\"]}},\"version\":1}", "bytecode": "0x6080604052348015600f57600080fd5b50603e80601d6000396000f3fe6080604052600080fdfea265627a7a723158209bdbaa12c048d57c0b39a553ae57d246ebb54aa5d8a7374cd4f606433ecc6ca064736f6c634300050c0032", "deployedBytecode": "0x6080604052600080fdfea265627a7a723158209bdbaa12c048d57c0b39a553ae57d246ebb54aa5d8a7374cd4f606433ecc6ca064736f6c634300050c0032", "sourceMap": "378:7756:8:-;;;;8:9:-1;5:2;;;30:1;27;20:12;5:2;378:7756:8;;;;;;;", "deployedSourceMap": "378:7756:8:-;;;;;", "source": "pragma solidity ^0.5.8;\n\nimport \"./CarefulMath.sol\";\n\n/**\n * @title Exponential module for storing fixed-decision decimals\n * @author Compound\n * @notice Exp is a struct which stores decimals with a fixed precision of 18 decimal places.\n * Thus, if we wanted to store the 5.1, mantissa would store 5.1e18. That is:\n * `Exp({mantissa: 5100000000000000000})`.\n */\ncontract Exponential is CarefulMath {\n uint256 constant expScale = 1e18;\n uint256 constant halfExpScale = expScale / 2;\n uint256 constant mantissaOne = expScale;\n\n struct Exp {\n uint256 mantissa;\n }\n\n /**\n * @dev Creates an exponential from numerator and denominator values.\n * Note: Returns an error if (`num` * 10e18) > MAX_INT,\n * or if `denom` is zero.\n */\n function getExp(uint256 num, uint256 denom) internal pure returns (MathError, Exp memory) {\n (MathError err0, uint256 scaledNumerator) = mulUInt(num, expScale);\n if (err0 != MathError.NO_ERROR) {\n return (err0, Exp({mantissa: 0}));\n }\n\n (MathError err1, uint256 rational) = divUInt(scaledNumerator, denom);\n if (err1 != MathError.NO_ERROR) {\n return (err1, Exp({mantissa: 0}));\n }\n\n return (MathError.NO_ERROR, Exp({mantissa: rational}));\n }\n\n /**\n * @dev Adds two exponentials, returning a new exponential.\n */\n function addExp(Exp memory a, Exp memory b) internal pure returns (MathError, Exp memory) {\n (MathError error, uint256 result) = addUInt(a.mantissa, b.mantissa);\n\n return (error, Exp({mantissa: result}));\n }\n\n /**\n * @dev Subtracts two exponentials, returning a new exponential.\n */\n function subExp(Exp memory a, Exp memory b) internal pure returns (MathError, Exp memory) {\n (MathError error, uint256 result) = subUInt(a.mantissa, b.mantissa);\n\n return (error, Exp({mantissa: result}));\n }\n\n /**\n * @dev Multiply an Exp by a scalar, returning a new Exp.\n */\n function mulScalar(Exp memory a, uint256 scalar) internal pure returns (MathError, Exp memory) {\n (MathError err0, uint256 scaledMantissa) = mulUInt(a.mantissa, scalar);\n if (err0 != MathError.NO_ERROR) {\n return (err0, Exp({mantissa: 0}));\n }\n\n return (MathError.NO_ERROR, Exp({mantissa: scaledMantissa}));\n }\n\n /**\n * @dev Multiply an Exp by a scalar, then truncate to return an unsigned integer.\n */\n function mulScalarTruncate(Exp memory a, uint256 scalar) internal pure returns (MathError, uint256) {\n (MathError err, Exp memory product) = mulScalar(a, scalar);\n if (err != MathError.NO_ERROR) {\n return (err, 0);\n }\n\n return (MathError.NO_ERROR, truncate(product));\n }\n\n /**\n * @dev Multiply an Exp by a scalar, truncate, then add an to an unsigned integer, returning an unsigned integer.\n */\n function mulScalarTruncateAddUInt(Exp memory a, uint256 scalar, uint256 addend)\n internal\n pure\n returns (MathError, uint256)\n {\n (MathError err, Exp memory product) = mulScalar(a, scalar);\n if (err != MathError.NO_ERROR) {\n return (err, 0);\n }\n\n return addUInt(truncate(product), addend);\n }\n\n /**\n * @dev Divide an Exp by a scalar, returning a new Exp.\n */\n function divScalar(Exp memory a, uint256 scalar) internal pure returns (MathError, Exp memory) {\n (MathError err0, uint256 descaledMantissa) = divUInt(a.mantissa, scalar);\n if (err0 != MathError.NO_ERROR) {\n return (err0, Exp({mantissa: 0}));\n }\n\n return (MathError.NO_ERROR, Exp({mantissa: descaledMantissa}));\n }\n\n /**\n * @dev Divide a scalar by an Exp, returning a new Exp.\n */\n function divScalarByExp(uint256 scalar, Exp memory divisor) internal pure returns (MathError, Exp memory) {\n /*\n We are doing this as:\n getExp(mulUInt(expScale, scalar), divisor.mantissa)\n\n How it works:\n Exp = a / b;\n Scalar = s;\n `s / (a / b)` = `b * s / a` and since for an Exp `a = mantissa, b = expScale`\n */\n (MathError err0, uint256 numerator) = mulUInt(expScale, scalar);\n if (err0 != MathError.NO_ERROR) {\n return (err0, Exp({mantissa: 0}));\n }\n return getExp(numerator, divisor.mantissa);\n }\n\n /**\n * @dev Divide a scalar by an Exp, then truncate to return an unsigned integer.\n */\n function divScalarByExpTruncate(uint256 scalar, Exp memory divisor) internal pure returns (MathError, uint256) {\n (MathError err, Exp memory fraction) = divScalarByExp(scalar, divisor);\n if (err != MathError.NO_ERROR) {\n return (err, 0);\n }\n\n return (MathError.NO_ERROR, truncate(fraction));\n }\n\n /**\n * @dev Multiplies two exponentials, returning a new exponential.\n */\n function mulExp(Exp memory a, Exp memory b) internal pure returns (MathError, Exp memory) {\n (MathError err0, uint256 doubleScaledProduct) = mulUInt(a.mantissa, b.mantissa);\n if (err0 != MathError.NO_ERROR) {\n return (err0, Exp({mantissa: 0}));\n }\n\n // We add half the scale before dividing so that we get rounding instead of truncation.\n // See \"Listing 6\" and text above it at https://accu.org/index.php/journals/1717\n // Without this change, a result like 6.6...e-19 will be truncated to 0 instead of being rounded to 1e-18.\n (MathError err1, uint256 doubleScaledProductWithHalfScale) = addUInt(halfExpScale, doubleScaledProduct);\n if (err1 != MathError.NO_ERROR) {\n return (err1, Exp({mantissa: 0}));\n }\n\n (MathError err2, uint256 product) = divUInt(doubleScaledProductWithHalfScale, expScale);\n // The only error `div` can return is MathError.DIVISION_BY_ZERO but we control `expScale` and it is not zero.\n assert(err2 == MathError.NO_ERROR);\n\n return (MathError.NO_ERROR, Exp({mantissa: product}));\n }\n\n /**\n * @dev Multiplies two exponentials given their mantissas, returning a new exponential.\n */\n function mulExp(uint256 a, uint256 b) internal pure returns (MathError, Exp memory) {\n return mulExp(Exp({mantissa: a}), Exp({mantissa: b}));\n }\n\n /**\n * @dev Multiplies three exponentials, returning a new exponential.\n */\n function mulExp3(Exp memory a, Exp memory b, Exp memory c) internal pure returns (MathError, Exp memory) {\n (MathError err, Exp memory ab) = mulExp(a, b);\n if (err != MathError.NO_ERROR) {\n return (err, ab);\n }\n return mulExp(ab, c);\n }\n\n /**\n * @dev Divides two exponentials, returning a new exponential.\n * (a/scale) / (b/scale) = (a/scale) * (scale/b) = a/b,\n * which we can scale as an Exp by calling getExp(a.mantissa, b.mantissa)\n */\n function divExp(Exp memory a, Exp memory b) internal pure returns (MathError, Exp memory) {\n return getExp(a.mantissa, b.mantissa);\n }\n\n /**\n * @dev Truncates the given exp to a whole number value.\n * For example, truncate(Exp{mantissa: 15 * expScale}) = 15\n */\n function truncate(Exp memory exp) internal pure returns (uint256) {\n // Note: We are not using careful math here as we're performing a division that cannot fail\n return exp.mantissa / expScale;\n }\n\n /**\n * @dev Checks if first Exp is less than second Exp.\n */\n function lessThanExp(Exp memory left, Exp memory right) internal pure returns (bool) {\n return left.mantissa < right.mantissa; //TODO: Add some simple tests and this in another PR yo.\n }\n\n /**\n * @dev Checks if left Exp <= right Exp.\n */\n function lessThanOrEqualExp(Exp memory left, Exp memory right) internal pure returns (bool) {\n return left.mantissa <= right.mantissa;\n }\n\n /**\n * @dev returns true if Exp is exactly zero\n */\n function isZeroExp(Exp memory value) internal pure returns (bool) {\n return value.mantissa == 0;\n }\n}\n", "sourcePath": "/home/runner/work/rtoken-contracts/rtoken-contracts/packages/contracts/compound/contracts/Exponential.sol", "ast": { "absolutePath": "/home/runner/work/rtoken-contracts/rtoken-contracts/packages/contracts/compound/contracts/Exponential.sol", "exportedSymbols": { "Exponential": [ 5798 ] }, "id": 5799, "nodeType": "SourceUnit", "nodes": [ { "id": 5209, "literals": [ "solidity", "^", "0.5", ".8" ], "nodeType": "PragmaDirective", "src": "0:23:8" }, { "absolutePath": "/home/runner/work/rtoken-contracts/rtoken-contracts/packages/contracts/compound/contracts/CarefulMath.sol", "file": "./CarefulMath.sol", "id": 5210, "nodeType": "ImportDirective", "scope": 5799, "sourceUnit": 4608, "src": "25:27:8", "symbolAliases": [], "unitAlias": "" }, { "baseContracts": [ { "arguments": null, "baseName": { "contractScope": null, "id": 5211, "name": "CarefulMath", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4607, "src": "402:11:8", "typeDescriptions": { "typeIdentifier": "t_contract$_CarefulMath_$4607", "typeString": "contract CarefulMath" } }, "id": 5212, "nodeType": "InheritanceSpecifier", "src": "402:11:8" } ], "contractDependencies": [ 4607 ], "contractKind": "contract", "documentation": "@title Exponential module for storing fixed-decision decimals\n@author Compound\n@notice Exp is a struct which stores decimals with a fixed precision of 18 decimal places.\n Thus, if we wanted to store the 5.1, mantissa would store 5.1e18. That is:\n `Exp({mantissa: 5100000000000000000})`.", "fullyImplemented": true, "id": 5798, "linearizedBaseContracts": [ 5798, 4607 ], "name": "Exponential", "nodeType": "ContractDefinition", "nodes": [ { "constant": true, "id": 5215, "name": "expScale", "nodeType": "VariableDeclaration", "scope": 5798, "src": "420:32:8", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5213, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "420:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "hexValue": "31653138", "id": 5214, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "448:4:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1000000000000000000_by_1", "typeString": "int_const 1000000000000000000" }, "value": "1e18" }, "visibility": "internal" }, { "constant": true, "id": 5220, "name": "halfExpScale", "nodeType": "VariableDeclaration", "scope": 5798, "src": "458:44:8", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5216, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "458:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 5219, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5217, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "490:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 5218, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "501:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "490:12:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": true, "id": 5223, "name": "mantissaOne", "nodeType": "VariableDeclaration", "scope": 5798, "src": "508:39:8", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5221, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "508:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "id": 5222, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "539:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "canonicalName": "Exponential.Exp", "id": 5226, "members": [ { "constant": false, "id": 5225, "name": "mantissa", "nodeType": "VariableDeclaration", "scope": 5226, "src": "575:16:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5224, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "575:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "name": "Exp", "nodeType": "StructDefinition", "scope": 5798, "src": "554:44:8", "visibility": "public" }, { "body": { "id": 5286, "nodeType": "Block", "src": "890:425:8", "statements": [ { "assignments": [ 5238, 5240 ], "declarations": [ { "constant": false, "id": 5238, "name": "err0", "nodeType": "VariableDeclaration", "scope": 5286, "src": "901:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5237, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "901:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5240, "name": "scaledNumerator", "nodeType": "VariableDeclaration", "scope": 5286, "src": "917:23:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5239, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "917:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5245, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5242, "name": "num", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5228, "src": "952:3:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5243, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "957:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5241, "name": "mulUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4475, "src": "944:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5244, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "944:22:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "900:66:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5249, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5246, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5238, "src": "980:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5247, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "988:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5248, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "988:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "980:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5257, "nodeType": "IfStatement", "src": "976:90:8", "trueBody": { "id": 5256, "nodeType": "Block", "src": "1008:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5250, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5238, "src": "1030:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5252, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1051:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5251, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "1036:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5253, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "1036:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5254, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "1029:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5236, "id": 5255, "nodeType": "Return", "src": "1022:33:8" } ] } }, { "assignments": [ 5259, 5261 ], "declarations": [ { "constant": false, "id": 5259, "name": "err1", "nodeType": "VariableDeclaration", "scope": 5286, "src": "1077:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5258, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "1077:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5261, "name": "rational", "nodeType": "VariableDeclaration", "scope": 5286, "src": "1093:16:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5260, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "1093:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5266, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5263, "name": "scaledNumerator", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5240, "src": "1121:15:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5264, "name": "denom", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5230, "src": "1138:5:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5262, "name": "divUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4504, "src": "1113:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5265, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1113:31:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "1076:68:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5270, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5267, "name": "err1", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5259, "src": "1158:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5268, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "1166:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5269, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "1166:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "1158:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5278, "nodeType": "IfStatement", "src": "1154:90:8", "trueBody": { "id": 5277, "nodeType": "Block", "src": "1186:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5271, "name": "err1", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5259, "src": "1208:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5273, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1229:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5272, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "1214:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5274, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "1214:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5275, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "1207:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5236, "id": 5276, "nodeType": "Return", "src": "1200:33:8" } ] } }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5279, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "1262:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5280, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "1262:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5282, "name": "rational", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5261, "src": "1297:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5281, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "1282:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5283, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "1282:25:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5284, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "1261:47:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5236, "id": 5285, "nodeType": "Return", "src": "1254:54:8" } ] }, "documentation": "@dev Creates an exponential from numerator and denominator values.\n Note: Returns an error if (`num` * 10e18) > MAX_INT,\n or if `denom` is zero.", "id": 5287, "implemented": true, "kind": "function", "modifiers": [], "name": "getExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5231, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5228, "name": "num", "nodeType": "VariableDeclaration", "scope": 5287, "src": "816:11:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5227, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "816:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5230, "name": "denom", "nodeType": "VariableDeclaration", "scope": 5287, "src": "829:13:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5229, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "829:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "815:28:8" }, "returnParameters": { "id": 5236, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5233, "name": "", "nodeType": "VariableDeclaration", "scope": 5287, "src": "867:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5232, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "867:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5235, "name": "", "nodeType": "VariableDeclaration", "scope": 5287, "src": "878:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5234, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "878:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "866:23:8" }, "scope": 5798, "src": "800:515:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5315, "nodeType": "Block", "src": "1491:134:8", "statements": [ { "assignments": [ 5299, 5301 ], "declarations": [ { "constant": false, "id": 5299, "name": "error", "nodeType": "VariableDeclaration", "scope": 5315, "src": "1502:15:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5298, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "1502:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5301, "name": "result", "nodeType": "VariableDeclaration", "scope": 5315, "src": "1519:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5300, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "1519:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5308, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5303, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5289, "src": "1545:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5304, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "1545:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5305, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5291, "src": "1557:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5306, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "1557:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5302, "name": "addUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4568, "src": "1537:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5307, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1537:31:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "1501:67:8" }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5309, "name": "error", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5299, "src": "1587:5:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5311, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5301, "src": "1609:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5310, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "1594:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5312, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "1594:23:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5313, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "1586:32:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5297, "id": 5314, "nodeType": "Return", "src": "1579:39:8" } ] }, "documentation": "@dev Adds two exponentials, returning a new exponential.", "id": 5316, "implemented": true, "kind": "function", "modifiers": [], "name": "addExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5292, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5289, "name": "a", "nodeType": "VariableDeclaration", "scope": 5316, "src": "1417:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5288, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1417:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5291, "name": "b", "nodeType": "VariableDeclaration", "scope": 5316, "src": "1431:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5290, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1431:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "1416:28:8" }, "returnParameters": { "id": 5297, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5294, "name": "", "nodeType": "VariableDeclaration", "scope": 5316, "src": "1468:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5293, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "1468:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5296, "name": "", "nodeType": "VariableDeclaration", "scope": 5316, "src": "1479:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5295, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1479:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "1467:23:8" }, "scope": 5798, "src": "1401:224:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5344, "nodeType": "Block", "src": "1806:134:8", "statements": [ { "assignments": [ 5328, 5330 ], "declarations": [ { "constant": false, "id": 5328, "name": "error", "nodeType": "VariableDeclaration", "scope": 5344, "src": "1817:15:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5327, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "1817:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5330, "name": "result", "nodeType": "VariableDeclaration", "scope": 5344, "src": "1834:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5329, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "1834:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5337, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5332, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5318, "src": "1860:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5333, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "1860:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5334, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5320, "src": "1872:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5335, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "1872:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5331, "name": "subUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4534, "src": "1852:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5336, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1852:31:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "1816:67:8" }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5338, "name": "error", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5328, "src": "1902:5:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5340, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5330, "src": "1924:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5339, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "1909:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5341, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "1909:23:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5342, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "1901:32:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5326, "id": 5343, "nodeType": "Return", "src": "1894:39:8" } ] }, "documentation": "@dev Subtracts two exponentials, returning a new exponential.", "id": 5345, "implemented": true, "kind": "function", "modifiers": [], "name": "subExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5321, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5318, "name": "a", "nodeType": "VariableDeclaration", "scope": 5345, "src": "1732:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5317, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1732:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5320, "name": "b", "nodeType": "VariableDeclaration", "scope": 5345, "src": "1746:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5319, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1746:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "1731:28:8" }, "returnParameters": { "id": 5326, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5323, "name": "", "nodeType": "VariableDeclaration", "scope": 5345, "src": "1783:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5322, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "1783:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5325, "name": "", "nodeType": "VariableDeclaration", "scope": 5345, "src": "1794:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5324, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1794:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "1782:23:8" }, "scope": 5798, "src": "1716:224:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5385, "nodeType": "Block", "src": "2119:257:8", "statements": [ { "assignments": [ 5357, 5359 ], "declarations": [ { "constant": false, "id": 5357, "name": "err0", "nodeType": "VariableDeclaration", "scope": 5385, "src": "2130:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5356, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "2130:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5359, "name": "scaledMantissa", "nodeType": "VariableDeclaration", "scope": 5385, "src": "2146:22:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5358, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "2146:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5365, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5361, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5347, "src": "2180:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5362, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "2180:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5363, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5349, "src": "2192:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5360, "name": "mulUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4475, "src": "2172:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5364, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "2172:27:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "2129:70:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5369, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5366, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5357, "src": "2213:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5367, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "2221:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5368, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "2221:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "2213:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5377, "nodeType": "IfStatement", "src": "2209:90:8", "trueBody": { "id": 5376, "nodeType": "Block", "src": "2241:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5370, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5357, "src": "2263:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5372, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2284:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5371, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "2269:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5373, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "2269:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5374, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "2262:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5355, "id": 5375, "nodeType": "Return", "src": "2255:33:8" } ] } }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5378, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "2317:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5379, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "2317:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5381, "name": "scaledMantissa", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5359, "src": "2352:14:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5380, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "2337:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5382, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "2337:31:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5383, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "2316:53:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5355, "id": 5384, "nodeType": "Return", "src": "2309:60:8" } ] }, "documentation": "@dev Multiply an Exp by a scalar, returning a new Exp.", "id": 5386, "implemented": true, "kind": "function", "modifiers": [], "name": "mulScalar", "nodeType": "FunctionDefinition", "parameters": { "id": 5350, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5347, "name": "a", "nodeType": "VariableDeclaration", "scope": 5386, "src": "2043:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5346, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "2043:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5349, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5386, "src": "2057:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5348, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "2057:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "2042:30:8" }, "returnParameters": { "id": 5355, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5352, "name": "", "nodeType": "VariableDeclaration", "scope": 5386, "src": "2096:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5351, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "2096:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5354, "name": "", "nodeType": "VariableDeclaration", "scope": 5386, "src": "2107:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5353, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "2107:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "2095:23:8" }, "scope": 5798, "src": "2024:352:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5423, "nodeType": "Block", "src": "2584:212:8", "statements": [ { "assignments": [ 5398, 5400 ], "declarations": [ { "constant": false, "id": 5398, "name": "err", "nodeType": "VariableDeclaration", "scope": 5423, "src": "2595:13:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5397, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "2595:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5400, "name": "product", "nodeType": "VariableDeclaration", "scope": 5423, "src": "2610:18:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5399, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "2610:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "id": 5405, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5402, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5388, "src": "2642:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, { "argumentTypes": null, "id": 5403, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5390, "src": "2645:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5401, "name": "mulScalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5386, "src": "2632:9:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (struct Exponential.Exp memory,uint256) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5404, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "2632:20:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "nodeType": "VariableDeclarationStatement", "src": "2594:58:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5409, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5406, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5398, "src": "2666:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5407, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "2673:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5408, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "2673:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "2666:25:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5415, "nodeType": "IfStatement", "src": "2662:71:8", "trueBody": { "id": 5414, "nodeType": "Block", "src": "2693:40:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5410, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5398, "src": "2715:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "hexValue": "30", "id": 5411, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2720:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "id": 5412, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "2714:8:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_rational_0_by_1_$", "typeString": "tuple(enum CarefulMath.MathError,int_const 0)" } }, "functionReturnParameters": 5396, "id": 5413, "nodeType": "Return", "src": "2707:15:8" } ] } }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5416, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "2751:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5417, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "2751:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5419, "name": "product", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5400, "src": "2780:7:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5418, "name": "truncate", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5752, "src": "2771:8:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_uint256_$", "typeString": "function (struct Exponential.Exp memory) pure returns (uint256)" } }, "id": 5420, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "2771:17:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 5421, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "2750:39:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "functionReturnParameters": 5396, "id": 5422, "nodeType": "Return", "src": "2743:46:8" } ] }, "documentation": "@dev Multiply an Exp by a scalar, then truncate to return an unsigned integer.", "id": 5424, "implemented": true, "kind": "function", "modifiers": [], "name": "mulScalarTruncate", "nodeType": "FunctionDefinition", "parameters": { "id": 5391, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5388, "name": "a", "nodeType": "VariableDeclaration", "scope": 5424, "src": "2511:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5387, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "2511:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5390, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5424, "src": "2525:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5389, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "2525:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "2510:30:8" }, "returnParameters": { "id": 5396, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5393, "name": "", "nodeType": "VariableDeclaration", "scope": 5424, "src": "2564:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5392, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "2564:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5395, "name": "", "nodeType": "VariableDeclaration", "scope": 5424, "src": "2575:7:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5394, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "2575:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "2563:20:8" }, "scope": 5798, "src": "2484:312:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5463, "nodeType": "Block", "src": "3087:207:8", "statements": [ { "assignments": [ 5438, 5440 ], "declarations": [ { "constant": false, "id": 5438, "name": "err", "nodeType": "VariableDeclaration", "scope": 5463, "src": "3098:13:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5437, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "3098:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5440, "name": "product", "nodeType": "VariableDeclaration", "scope": 5463, "src": "3113:18:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5439, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "3113:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "id": 5445, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5442, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5426, "src": "3145:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, { "argumentTypes": null, "id": 5443, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5428, "src": "3148:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5441, "name": "mulScalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5386, "src": "3135:9:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (struct Exponential.Exp memory,uint256) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5444, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3135:20:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "nodeType": "VariableDeclarationStatement", "src": "3097:58:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5449, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5446, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5438, "src": "3169:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5447, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "3176:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5448, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "3176:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "3169:25:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5455, "nodeType": "IfStatement", "src": "3165:71:8", "trueBody": { "id": 5454, "nodeType": "Block", "src": "3196:40:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5450, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5438, "src": "3218:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "hexValue": "30", "id": 5451, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3223:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "id": 5452, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3217:8:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_rational_0_by_1_$", "typeString": "tuple(enum CarefulMath.MathError,int_const 0)" } }, "functionReturnParameters": 5436, "id": 5453, "nodeType": "Return", "src": "3210:15:8" } ] } }, { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5458, "name": "product", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5440, "src": "3270:7:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5457, "name": "truncate", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5752, "src": "3261:8:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_uint256_$", "typeString": "function (struct Exponential.Exp memory) pure returns (uint256)" } }, "id": 5459, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3261:17:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5460, "name": "addend", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5430, "src": "3280:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5456, "name": "addUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4568, "src": "3253:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5461, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3253:34:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "functionReturnParameters": 5436, "id": 5462, "nodeType": "Return", "src": "3246:41:8" } ] }, "documentation": "@dev Multiply an Exp by a scalar, truncate, then add an to an unsigned integer, returning an unsigned integer.", "id": 5464, "implemented": true, "kind": "function", "modifiers": [], "name": "mulScalarTruncateAddUInt", "nodeType": "FunctionDefinition", "parameters": { "id": 5431, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5426, "name": "a", "nodeType": "VariableDeclaration", "scope": 5464, "src": "2970:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5425, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "2970:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5428, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5464, "src": "2984:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5427, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "2984:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5430, "name": "addend", "nodeType": "VariableDeclaration", "scope": 5464, "src": "3000:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5429, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "3000:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "2969:46:8" }, "returnParameters": { "id": 5436, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5433, "name": "", "nodeType": "VariableDeclaration", "scope": 5464, "src": "3063:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5432, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "3063:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5435, "name": "", "nodeType": "VariableDeclaration", "scope": 5464, "src": "3074:7:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5434, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "3074:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "3062:20:8" }, "scope": 5798, "src": "2936:358:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5504, "nodeType": "Block", "src": "3471:261:8", "statements": [ { "assignments": [ 5476, 5478 ], "declarations": [ { "constant": false, "id": 5476, "name": "err0", "nodeType": "VariableDeclaration", "scope": 5504, "src": "3482:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5475, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "3482:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5478, "name": "descaledMantissa", "nodeType": "VariableDeclaration", "scope": 5504, "src": "3498:24:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5477, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "3498:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5484, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5480, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5466, "src": "3534:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5481, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "3534:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5482, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5468, "src": "3546:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5479, "name": "divUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4504, "src": "3526:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5483, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3526:27:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "3481:72:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5488, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5485, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5476, "src": "3567:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5486, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "3575:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5487, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "3575:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "3567:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5496, "nodeType": "IfStatement", "src": "3563:90:8", "trueBody": { "id": 5495, "nodeType": "Block", "src": "3595:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5489, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5476, "src": "3617:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5491, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3638:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5490, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "3623:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5492, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "3623:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5493, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3616:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5474, "id": 5494, "nodeType": "Return", "src": "3609:33:8" } ] } }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5497, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "3671:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5498, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "3671:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5500, "name": "descaledMantissa", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5478, "src": "3706:16:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5499, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "3691:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5501, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "3691:33:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5502, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3670:55:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5474, "id": 5503, "nodeType": "Return", "src": "3663:62:8" } ] }, "documentation": "@dev Divide an Exp by a scalar, returning a new Exp.", "id": 5505, "implemented": true, "kind": "function", "modifiers": [], "name": "divScalar", "nodeType": "FunctionDefinition", "parameters": { "id": 5469, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5466, "name": "a", "nodeType": "VariableDeclaration", "scope": 5505, "src": "3395:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5465, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "3395:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5468, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5505, "src": "3409:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5467, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "3409:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "3394:30:8" }, "returnParameters": { "id": 5474, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5471, "name": "", "nodeType": "VariableDeclaration", "scope": 5505, "src": "3448:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5470, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "3448:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5473, "name": "", "nodeType": "VariableDeclaration", "scope": 5505, "src": "3459:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5472, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "3459:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "3447:23:8" }, "scope": 5798, "src": "3376:356:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5543, "nodeType": "Block", "src": "3920:505:8", "statements": [ { "assignments": [ 5517, 5519 ], "declarations": [ { "constant": false, "id": 5517, "name": "err0", "nodeType": "VariableDeclaration", "scope": 5543, "src": "4205:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5516, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "4205:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5519, "name": "numerator", "nodeType": "VariableDeclaration", "scope": 5543, "src": "4221:17:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5518, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "4221:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5524, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5521, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "4250:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5522, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5507, "src": "4260:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5520, "name": "mulUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4475, "src": "4242:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5523, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4242:25:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "4204:63:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5528, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5525, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5517, "src": "4281:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5526, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "4289:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5527, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "4289:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "4281:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5536, "nodeType": "IfStatement", "src": "4277:90:8", "trueBody": { "id": 5535, "nodeType": "Block", "src": "4309:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5529, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5517, "src": "4331:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5531, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4352:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5530, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "4337:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5532, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "4337:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5533, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4330:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5515, "id": 5534, "nodeType": "Return", "src": "4323:33:8" } ] } }, { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5538, "name": "numerator", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5519, "src": "4390:9:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5539, "name": "divisor", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5509, "src": "4401:7:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5540, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "4401:16:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5537, "name": "getExp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5287, "src": "4383:6:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5541, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4383:35:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5515, "id": 5542, "nodeType": "Return", "src": "4376:42:8" } ] }, "documentation": "@dev Divide a scalar by an Exp, returning a new Exp.", "id": 5544, "implemented": true, "kind": "function", "modifiers": [], "name": "divScalarByExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5510, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5507, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5544, "src": "3838:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5506, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "3838:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5509, "name": "divisor", "nodeType": "VariableDeclaration", "scope": 5544, "src": "3854:18:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5508, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "3854:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "3837:36:8" }, "returnParameters": { "id": 5515, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5512, "name": "", "nodeType": "VariableDeclaration", "scope": 5544, "src": "3897:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5511, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "3897:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5514, "name": "", "nodeType": "VariableDeclaration", "scope": 5544, "src": "3908:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5513, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "3908:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "3896:23:8" }, "scope": 5798, "src": "3814:611:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5581, "nodeType": "Block", "src": "4642:225:8", "statements": [ { "assignments": [ 5556, 5558 ], "declarations": [ { "constant": false, "id": 5556, "name": "err", "nodeType": "VariableDeclaration", "scope": 5581, "src": "4653:13:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5555, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "4653:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5558, "name": "fraction", "nodeType": "VariableDeclaration", "scope": 5581, "src": "4668:19:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5557, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "4668:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "id": 5563, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5560, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5546, "src": "4706:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5561, "name": "divisor", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5548, "src": "4714:7:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5559, "name": "divScalarByExp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5544, "src": "4691:14:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (uint256,struct Exponential.Exp memory) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5562, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4691:31:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "nodeType": "VariableDeclarationStatement", "src": "4652:70:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5567, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5564, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5556, "src": "4736:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5565, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "4743:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5566, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "4743:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "4736:25:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5573, "nodeType": "IfStatement", "src": "4732:71:8", "trueBody": { "id": 5572, "nodeType": "Block", "src": "4763:40:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5568, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5556, "src": "4785:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "hexValue": "30", "id": 5569, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4790:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "id": 5570, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4784:8:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_rational_0_by_1_$", "typeString": "tuple(enum CarefulMath.MathError,int_const 0)" } }, "functionReturnParameters": 5554, "id": 5571, "nodeType": "Return", "src": "4777:15:8" } ] } }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5574, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "4821:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5575, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "4821:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5577, "name": "fraction", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5558, "src": "4850:8:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5576, "name": "truncate", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5752, "src": "4841:8:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_uint256_$", "typeString": "function (struct Exponential.Exp memory) pure returns (uint256)" } }, "id": 5578, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4841:18:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 5579, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4820:40:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "functionReturnParameters": 5554, "id": 5580, "nodeType": "Return", "src": "4813:47:8" } ] }, "documentation": "@dev Divide a scalar by an Exp, then truncate to return an unsigned integer.", "id": 5582, "implemented": true, "kind": "function", "modifiers": [], "name": "divScalarByExpTruncate", "nodeType": "FunctionDefinition", "parameters": { "id": 5549, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5546, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5582, "src": "4563:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5545, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "4563:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5548, "name": "divisor", "nodeType": "VariableDeclaration", "scope": 5582, "src": "4579:18:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5547, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "4579:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "4562:36:8" }, "returnParameters": { "id": 5554, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5551, "name": "", "nodeType": "VariableDeclaration", "scope": 5582, "src": "4622:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5550, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "4622:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5553, "name": "", "nodeType": "VariableDeclaration", "scope": 5582, "src": "4633:7:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5552, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "4633:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "4621:20:8" }, "scope": 5798, "src": "4531:336:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5660, "nodeType": "Block", "src": "5049:1034:8", "statements": [ { "assignments": [ 5594, 5596 ], "declarations": [ { "constant": false, "id": 5594, "name": "err0", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5060:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5593, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "5060:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5596, "name": "doubleScaledProduct", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5076:27:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5595, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "5076:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5603, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5598, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5584, "src": "5115:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5599, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "5115:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5600, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5586, "src": "5127:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5601, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "5127:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5597, "name": "mulUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4475, "src": "5107:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5602, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5107:31:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "5059:79:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5607, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5604, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5594, "src": "5152:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5605, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "5160:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5606, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "5160:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "5152:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5615, "nodeType": "IfStatement", "src": "5148:90:8", "trueBody": { "id": 5614, "nodeType": "Block", "src": "5180:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5608, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5594, "src": "5202:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5610, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5223:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5609, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "5208:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5611, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "5208:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5612, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5201:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5592, "id": 5613, "nodeType": "Return", "src": "5194:33:8" } ] } }, { "assignments": [ 5617, 5619 ], "declarations": [ { "constant": false, "id": 5617, "name": "err1", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5550:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5616, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "5550:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5619, "name": "doubleScaledProductWithHalfScale", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5566:40:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5618, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "5566:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5624, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5621, "name": "halfExpScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5220, "src": "5618:12:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5622, "name": "doubleScaledProduct", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5596, "src": "5632:19:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5620, "name": "addUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4568, "src": "5610:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5623, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5610:42:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "5549:103:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5628, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5625, "name": "err1", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5617, "src": "5666:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5626, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "5674:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5627, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "5674:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "5666:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5636, "nodeType": "IfStatement", "src": "5662:90:8", "trueBody": { "id": 5635, "nodeType": "Block", "src": "5694:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5629, "name": "err1", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5617, "src": "5716:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5631, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5737:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5630, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "5722:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5632, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "5722:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5633, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5715:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5592, "id": 5634, "nodeType": "Return", "src": "5708:33:8" } ] } }, { "assignments": [ 5638, 5640 ], "declarations": [ { "constant": false, "id": 5638, "name": "err2", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5763:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5637, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "5763:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5640, "name": "product", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5779:15:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5639, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "5779:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5645, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5642, "name": "doubleScaledProductWithHalfScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5619, "src": "5806:32:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5643, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "5840:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5641, "name": "divUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4504, "src": "5798:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5644, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5798:51:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "5762:87:8" }, { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5650, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5647, "name": "err2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5638, "src": "5985:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5648, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "5993:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5649, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "5993:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "5985:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 5646, "name": "assert", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 11474, "src": "5978:6:8", "typeDescriptions": { "typeIdentifier": "t_function_assert_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 5651, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5978:34:8", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 5652, "nodeType": "ExpressionStatement", "src": "5978:34:8" }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5653, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "6031:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5654, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "6031:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5656, "name": "product", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5640, "src": "6066:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5655, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "6051:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5657, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "6051:24:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5658, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "6030:46:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5592, "id": 5659, "nodeType": "Return", "src": "6023:53:8" } ] }, "documentation": "@dev Multiplies two exponentials, returning a new exponential.", "id": 5661, "implemented": true, "kind": "function", "modifiers": [], "name": "mulExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5587, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5584, "name": "a", "nodeType": "VariableDeclaration", "scope": 5661, "src": "4975:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5583, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "4975:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5586, "name": "b", "nodeType": "VariableDeclaration", "scope": 5661, "src": "4989:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5585, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "4989:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "4974:28:8" }, "returnParameters": { "id": 5592, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5589, "name": "", "nodeType": "VariableDeclaration", "scope": 5661, "src": "5026:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5588, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "5026:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5591, "name": "", "nodeType": "VariableDeclaration", "scope": 5661, "src": "5037:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5590, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "5037:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "5025:23:8" }, "scope": 5798, "src": "4959:1124:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5681, "nodeType": "Block", "src": "6281:70:8", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5674, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5663, "src": "6320:1:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5673, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "6305:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5675, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "6305:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5677, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5665, "src": "6340:1:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5676, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "6325:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5678, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "6325:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" }, { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } ], "id": 5672, "name": "mulExp", "nodeType": "Identifier", "overloadedDeclarations": [ 5661, 5682 ], "referencedDeclaration": 5661, "src": "6298:6:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (struct Exponential.Exp memory,struct Exponential.Exp memory) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5679, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "6298:46:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5671, "id": 5680, "nodeType": "Return", "src": "6291:53:8" } ] }, "documentation": "@dev Multiplies two exponentials given their mantissas, returning a new exponential.", "id": 5682, "implemented": true, "kind": "function", "modifiers": [], "name": "mulExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5666, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5663, "name": "a", "nodeType": "VariableDeclaration", "scope": 5682, "src": "6213:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5662, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "6213:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5665, "name": "b", "nodeType": "VariableDeclaration", "scope": 5682, "src": "6224:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5664, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "6224:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "6212:22:8" }, "returnParameters": { "id": 5671, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5668, "name": "", "nodeType": "VariableDeclaration", "scope": 5682, "src": "6258:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5667, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "6258:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5670, "name": "", "nodeType": "VariableDeclaration", "scope": 5682, "src": "6269:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5669, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6269:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "6257:23:8" }, "scope": 5798, "src": "6197:154:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5719, "nodeType": "Block", "src": "6550:173:8", "statements": [ { "assignments": [ 5696, 5698 ], "declarations": [ { "constant": false, "id": 5696, "name": "err", "nodeType": "VariableDeclaration", "scope": 5719, "src": "6561:13:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5695, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "6561:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5698, "name": "ab", "nodeType": "VariableDeclaration", "scope": 5719, "src": "6576:13:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5697, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6576:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "id": 5703, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5700, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5684, "src": "6600:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, { "argumentTypes": null, "id": 5701, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5686, "src": "6603:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" }, { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5699, "name": "mulExp", "nodeType": "Identifier", "overloadedDeclarations": [ 5661, 5682 ], "referencedDeclaration": 5661, "src": "6593:6:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (struct Exponential.Exp memory,struct Exponential.Exp memory) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5702, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "6593:12:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "nodeType": "VariableDeclarationStatement", "src": "6560:45:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5707, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5704, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5696, "src": "6619:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5705, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "6626:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5706, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "6626:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "6619:25:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5713, "nodeType": "IfStatement", "src": "6615:72:8", "trueBody": { "id": 5712, "nodeType": "Block", "src": "6646:41:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5708, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5696, "src": "6668:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "id": 5709, "name": "ab", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5698, "src": "6673:2:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "id": 5710, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "6667:9:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5694, "id": 5711, "nodeType": "Return", "src": "6660:16:8" } ] } }, { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5715, "name": "ab", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5698, "src": "6710:2:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, { "argumentTypes": null, "id": 5716, "name": "c", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5688, "src": "6714:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" }, { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5714, "name": "mulExp", "nodeType": "Identifier", "overloadedDeclarations": [ 5661, 5682 ], "referencedDeclaration": 5661, "src": "6703:6:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (struct Exponential.Exp memory,struct Exponential.Exp memory) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5717, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "6703:13:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5694, "id": 5718, "nodeType": "Return", "src": "6696:20:8" } ] }, "documentation": "@dev Multiplies three exponentials, returning a new exponential.", "id": 5720, "implemented": true, "kind": "function", "modifiers": [], "name": "mulExp3", "nodeType": "FunctionDefinition", "parameters": { "id": 5689, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5684, "name": "a", "nodeType": "VariableDeclaration", "scope": 5720, "src": "6462:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5683, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6462:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5686, "name": "b", "nodeType": "VariableDeclaration", "scope": 5720, "src": "6476:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5685, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6476:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5688, "name": "c", "nodeType": "VariableDeclaration", "scope": 5720, "src": "6490:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5687, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6490:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "6461:42:8" }, "returnParameters": { "id": 5694, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5691, "name": "", "nodeType": "VariableDeclaration", "scope": 5720, "src": "6527:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5690, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "6527:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5693, "name": "", "nodeType": "VariableDeclaration", "scope": 5720, "src": "6538:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5692, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6538:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "6526:23:8" }, "scope": 5798, "src": "6445:278:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5738, "nodeType": "Block", "src": "7045:54:8", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5732, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5722, "src": "7069:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5733, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7069:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5734, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5724, "src": "7081:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5735, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7081:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5731, "name": "getExp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5287, "src": "7062:6:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5736, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7062:30:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5730, "id": 5737, "nodeType": "Return", "src": "7055:37:8" } ] }, "documentation": "@dev Divides two exponentials, returning a new exponential.\n (a/scale) / (b/scale) = (a/scale) * (scale/b) = a/b,\n which we can scale as an Exp by calling getExp(a.mantissa, b.mantissa)", "id": 5739, "implemented": true, "kind": "function", "modifiers": [], "name": "divExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5725, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5722, "name": "a", "nodeType": "VariableDeclaration", "scope": 5739, "src": "6971:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5721, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6971:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5724, "name": "b", "nodeType": "VariableDeclaration", "scope": 5739, "src": "6985:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5723, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6985:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "6970:28:8" }, "returnParameters": { "id": 5730, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5727, "name": "", "nodeType": "VariableDeclaration", "scope": 5739, "src": "7022:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5726, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "7022:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5729, "name": "", "nodeType": "VariableDeclaration", "scope": 5739, "src": "7033:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5728, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7033:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "7021:23:8" }, "scope": 5798, "src": "6955:144:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5751, "nodeType": "Block", "src": "7317:147:8", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 5749, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5746, "name": "exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5741, "src": "7434:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5747, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7434:12:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 5748, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "7449:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7434:23:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 5745, "id": 5750, "nodeType": "Return", "src": "7427:30:8" } ] }, "documentation": "@dev Truncates the given exp to a whole number value.\n For example, truncate(Exp{mantissa: 15 * expScale}) = 15", "id": 5752, "implemented": true, "kind": "function", "modifiers": [], "name": "truncate", "nodeType": "FunctionDefinition", "parameters": { "id": 5742, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5741, "name": "exp", "nodeType": "VariableDeclaration", "scope": 5752, "src": "7269:14:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5740, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7269:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "7268:16:8" }, "returnParameters": { "id": 5745, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5744, "name": "", "nodeType": "VariableDeclaration", "scope": 5752, "src": "7308:7:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5743, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "7308:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7307:9:8" }, "scope": 5798, "src": "7251:213:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5767, "nodeType": "Block", "src": "7628:111:8", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 5765, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5761, "name": "left", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5754, "src": "7645:4:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5762, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7645:13:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5763, "name": "right", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5756, "src": "7661:5:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5764, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7661:14:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7645:30:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 5760, "id": 5766, "nodeType": "Return", "src": "7638:37:8" } ] }, "documentation": "@dev Checks if first Exp is less than second Exp.", "id": 5768, "implemented": true, "kind": "function", "modifiers": [], "name": "lessThanExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5757, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5754, "name": "left", "nodeType": "VariableDeclaration", "scope": 5768, "src": "7564:15:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5753, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7564:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5756, "name": "right", "nodeType": "VariableDeclaration", "scope": 5768, "src": "7581:16:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5755, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7581:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "7563:35:8" }, "returnParameters": { "id": 5760, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5759, "name": "", "nodeType": "VariableDeclaration", "scope": 5768, "src": "7622:4:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 5758, "name": "bool", "nodeType": "ElementaryTypeName", "src": "7622:4:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "7621:6:8" }, "scope": 5798, "src": "7543:196:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5783, "nodeType": "Block", "src": "7898:55:8", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 5781, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5777, "name": "left", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5770, "src": "7915:4:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5778, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7915:13:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5779, "name": "right", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5772, "src": "7932:5:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5780, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7932:14:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7915:31:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 5776, "id": 5782, "nodeType": "Return", "src": "7908:38:8" } ] }, "documentation": "@dev Checks if left Exp <= right Exp.", "id": 5784, "implemented": true, "kind": "function", "modifiers": [], "name": "lessThanOrEqualExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5773, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5770, "name": "left", "nodeType": "VariableDeclaration", "scope": 5784, "src": "7834:15:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5769, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7834:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5772, "name": "right", "nodeType": "VariableDeclaration", "scope": 5784, "src": "7851:16:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5771, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7851:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "7833:35:8" }, "returnParameters": { "id": 5776, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5775, "name": "", "nodeType": "VariableDeclaration", "scope": 5784, "src": "7892:4:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 5774, "name": "bool", "nodeType": "ElementaryTypeName", "src": "7892:4:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "7891:6:8" }, "scope": 5798, "src": "7806:147:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5796, "nodeType": "Block", "src": "8089:43:8", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 5794, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5791, "name": "value", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5786, "src": "8106:5:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5792, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "8106:14:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 5793, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8124:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8106:19:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 5790, "id": 5795, "nodeType": "Return", "src": "8099:26:8" } ] }, "documentation": "@dev returns true if Exp is exactly zero", "id": 5797, "implemented": true, "kind": "function", "modifiers": [], "name": "isZeroExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5787, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5786, "name": "value", "nodeType": "VariableDeclaration", "scope": 5797, "src": "8042:16:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5785, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "8042:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "8041:18:8" }, "returnParameters": { "id": 5790, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5789, "name": "", "nodeType": "VariableDeclaration", "scope": 5797, "src": "8083:4:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 5788, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8083:4:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "8082:6:8" }, "scope": 5798, "src": "8023:109:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" } ], "scope": 5799, "src": "378:7756:8" } ], "src": "0:8135:8" }, "legacyAST": { "absolutePath": "/home/runner/work/rtoken-contracts/rtoken-contracts/packages/contracts/compound/contracts/Exponential.sol", "exportedSymbols": { "Exponential": [ 5798 ] }, "id": 5799, "nodeType": "SourceUnit", "nodes": [ { "id": 5209, "literals": [ "solidity", "^", "0.5", ".8" ], "nodeType": "PragmaDirective", "src": "0:23:8" }, { "absolutePath": "/home/runner/work/rtoken-contracts/rtoken-contracts/packages/contracts/compound/contracts/CarefulMath.sol", "file": "./CarefulMath.sol", "id": 5210, "nodeType": "ImportDirective", "scope": 5799, "sourceUnit": 4608, "src": "25:27:8", "symbolAliases": [], "unitAlias": "" }, { "baseContracts": [ { "arguments": null, "baseName": { "contractScope": null, "id": 5211, "name": "CarefulMath", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4607, "src": "402:11:8", "typeDescriptions": { "typeIdentifier": "t_contract$_CarefulMath_$4607", "typeString": "contract CarefulMath" } }, "id": 5212, "nodeType": "InheritanceSpecifier", "src": "402:11:8" } ], "contractDependencies": [ 4607 ], "contractKind": "contract", "documentation": "@title Exponential module for storing fixed-decision decimals\n@author Compound\n@notice Exp is a struct which stores decimals with a fixed precision of 18 decimal places.\n Thus, if we wanted to store the 5.1, mantissa would store 5.1e18. That is:\n `Exp({mantissa: 5100000000000000000})`.", "fullyImplemented": true, "id": 5798, "linearizedBaseContracts": [ 5798, 4607 ], "name": "Exponential", "nodeType": "ContractDefinition", "nodes": [ { "constant": true, "id": 5215, "name": "expScale", "nodeType": "VariableDeclaration", "scope": 5798, "src": "420:32:8", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5213, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "420:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "hexValue": "31653138", "id": 5214, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "448:4:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1000000000000000000_by_1", "typeString": "int_const 1000000000000000000" }, "value": "1e18" }, "visibility": "internal" }, { "constant": true, "id": 5220, "name": "halfExpScale", "nodeType": "VariableDeclaration", "scope": 5798, "src": "458:44:8", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5216, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "458:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 5219, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5217, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "490:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "32", "id": 5218, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "501:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "src": "490:12:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "constant": true, "id": 5223, "name": "mantissaOne", "nodeType": "VariableDeclaration", "scope": 5798, "src": "508:39:8", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5221, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "508:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "id": 5222, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "539:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "visibility": "internal" }, { "canonicalName": "Exponential.Exp", "id": 5226, "members": [ { "constant": false, "id": 5225, "name": "mantissa", "nodeType": "VariableDeclaration", "scope": 5226, "src": "575:16:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5224, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "575:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "name": "Exp", "nodeType": "StructDefinition", "scope": 5798, "src": "554:44:8", "visibility": "public" }, { "body": { "id": 5286, "nodeType": "Block", "src": "890:425:8", "statements": [ { "assignments": [ 5238, 5240 ], "declarations": [ { "constant": false, "id": 5238, "name": "err0", "nodeType": "VariableDeclaration", "scope": 5286, "src": "901:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5237, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "901:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5240, "name": "scaledNumerator", "nodeType": "VariableDeclaration", "scope": 5286, "src": "917:23:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5239, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "917:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5245, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5242, "name": "num", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5228, "src": "952:3:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5243, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "957:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5241, "name": "mulUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4475, "src": "944:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5244, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "944:22:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "900:66:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5249, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5246, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5238, "src": "980:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5247, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "988:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5248, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "988:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "980:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5257, "nodeType": "IfStatement", "src": "976:90:8", "trueBody": { "id": 5256, "nodeType": "Block", "src": "1008:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5250, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5238, "src": "1030:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5252, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1051:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5251, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "1036:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5253, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "1036:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5254, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "1029:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5236, "id": 5255, "nodeType": "Return", "src": "1022:33:8" } ] } }, { "assignments": [ 5259, 5261 ], "declarations": [ { "constant": false, "id": 5259, "name": "err1", "nodeType": "VariableDeclaration", "scope": 5286, "src": "1077:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5258, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "1077:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5261, "name": "rational", "nodeType": "VariableDeclaration", "scope": 5286, "src": "1093:16:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5260, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "1093:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5266, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5263, "name": "scaledNumerator", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5240, "src": "1121:15:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5264, "name": "denom", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5230, "src": "1138:5:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5262, "name": "divUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4504, "src": "1113:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5265, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1113:31:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "1076:68:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5270, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5267, "name": "err1", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5259, "src": "1158:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5268, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "1166:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5269, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "1166:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "1158:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5278, "nodeType": "IfStatement", "src": "1154:90:8", "trueBody": { "id": 5277, "nodeType": "Block", "src": "1186:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5271, "name": "err1", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5259, "src": "1208:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5273, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1229:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5272, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "1214:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5274, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "1214:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5275, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "1207:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5236, "id": 5276, "nodeType": "Return", "src": "1200:33:8" } ] } }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5279, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "1262:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5280, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "1262:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5282, "name": "rational", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5261, "src": "1297:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5281, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "1282:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5283, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "1282:25:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5284, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "1261:47:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5236, "id": 5285, "nodeType": "Return", "src": "1254:54:8" } ] }, "documentation": "@dev Creates an exponential from numerator and denominator values.\n Note: Returns an error if (`num` * 10e18) > MAX_INT,\n or if `denom` is zero.", "id": 5287, "implemented": true, "kind": "function", "modifiers": [], "name": "getExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5231, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5228, "name": "num", "nodeType": "VariableDeclaration", "scope": 5287, "src": "816:11:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5227, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "816:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5230, "name": "denom", "nodeType": "VariableDeclaration", "scope": 5287, "src": "829:13:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5229, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "829:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "815:28:8" }, "returnParameters": { "id": 5236, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5233, "name": "", "nodeType": "VariableDeclaration", "scope": 5287, "src": "867:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5232, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "867:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5235, "name": "", "nodeType": "VariableDeclaration", "scope": 5287, "src": "878:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5234, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "878:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "866:23:8" }, "scope": 5798, "src": "800:515:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5315, "nodeType": "Block", "src": "1491:134:8", "statements": [ { "assignments": [ 5299, 5301 ], "declarations": [ { "constant": false, "id": 5299, "name": "error", "nodeType": "VariableDeclaration", "scope": 5315, "src": "1502:15:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5298, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "1502:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5301, "name": "result", "nodeType": "VariableDeclaration", "scope": 5315, "src": "1519:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5300, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "1519:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5308, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5303, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5289, "src": "1545:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5304, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "1545:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5305, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5291, "src": "1557:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5306, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "1557:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5302, "name": "addUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4568, "src": "1537:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5307, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1537:31:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "1501:67:8" }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5309, "name": "error", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5299, "src": "1587:5:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5311, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5301, "src": "1609:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5310, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "1594:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5312, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "1594:23:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5313, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "1586:32:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5297, "id": 5314, "nodeType": "Return", "src": "1579:39:8" } ] }, "documentation": "@dev Adds two exponentials, returning a new exponential.", "id": 5316, "implemented": true, "kind": "function", "modifiers": [], "name": "addExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5292, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5289, "name": "a", "nodeType": "VariableDeclaration", "scope": 5316, "src": "1417:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5288, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1417:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5291, "name": "b", "nodeType": "VariableDeclaration", "scope": 5316, "src": "1431:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5290, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1431:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "1416:28:8" }, "returnParameters": { "id": 5297, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5294, "name": "", "nodeType": "VariableDeclaration", "scope": 5316, "src": "1468:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5293, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "1468:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5296, "name": "", "nodeType": "VariableDeclaration", "scope": 5316, "src": "1479:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5295, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1479:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "1467:23:8" }, "scope": 5798, "src": "1401:224:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5344, "nodeType": "Block", "src": "1806:134:8", "statements": [ { "assignments": [ 5328, 5330 ], "declarations": [ { "constant": false, "id": 5328, "name": "error", "nodeType": "VariableDeclaration", "scope": 5344, "src": "1817:15:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5327, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "1817:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5330, "name": "result", "nodeType": "VariableDeclaration", "scope": 5344, "src": "1834:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5329, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "1834:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5337, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5332, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5318, "src": "1860:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5333, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "1860:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5334, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5320, "src": "1872:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5335, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "1872:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5331, "name": "subUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4534, "src": "1852:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5336, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1852:31:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "1816:67:8" }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5338, "name": "error", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5328, "src": "1902:5:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5340, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5330, "src": "1924:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5339, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "1909:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5341, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "1909:23:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5342, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "1901:32:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5326, "id": 5343, "nodeType": "Return", "src": "1894:39:8" } ] }, "documentation": "@dev Subtracts two exponentials, returning a new exponential.", "id": 5345, "implemented": true, "kind": "function", "modifiers": [], "name": "subExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5321, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5318, "name": "a", "nodeType": "VariableDeclaration", "scope": 5345, "src": "1732:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5317, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1732:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5320, "name": "b", "nodeType": "VariableDeclaration", "scope": 5345, "src": "1746:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5319, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1746:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "1731:28:8" }, "returnParameters": { "id": 5326, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5323, "name": "", "nodeType": "VariableDeclaration", "scope": 5345, "src": "1783:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5322, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "1783:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5325, "name": "", "nodeType": "VariableDeclaration", "scope": 5345, "src": "1794:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5324, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "1794:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "1782:23:8" }, "scope": 5798, "src": "1716:224:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5385, "nodeType": "Block", "src": "2119:257:8", "statements": [ { "assignments": [ 5357, 5359 ], "declarations": [ { "constant": false, "id": 5357, "name": "err0", "nodeType": "VariableDeclaration", "scope": 5385, "src": "2130:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5356, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "2130:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5359, "name": "scaledMantissa", "nodeType": "VariableDeclaration", "scope": 5385, "src": "2146:22:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5358, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "2146:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5365, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5361, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5347, "src": "2180:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5362, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "2180:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5363, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5349, "src": "2192:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5360, "name": "mulUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4475, "src": "2172:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5364, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "2172:27:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "2129:70:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5369, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5366, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5357, "src": "2213:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5367, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "2221:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5368, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "2221:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "2213:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5377, "nodeType": "IfStatement", "src": "2209:90:8", "trueBody": { "id": 5376, "nodeType": "Block", "src": "2241:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5370, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5357, "src": "2263:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5372, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2284:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5371, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "2269:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5373, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "2269:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5374, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "2262:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5355, "id": 5375, "nodeType": "Return", "src": "2255:33:8" } ] } }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5378, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "2317:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5379, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "2317:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5381, "name": "scaledMantissa", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5359, "src": "2352:14:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5380, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "2337:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5382, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "2337:31:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5383, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "2316:53:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5355, "id": 5384, "nodeType": "Return", "src": "2309:60:8" } ] }, "documentation": "@dev Multiply an Exp by a scalar, returning a new Exp.", "id": 5386, "implemented": true, "kind": "function", "modifiers": [], "name": "mulScalar", "nodeType": "FunctionDefinition", "parameters": { "id": 5350, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5347, "name": "a", "nodeType": "VariableDeclaration", "scope": 5386, "src": "2043:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5346, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "2043:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5349, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5386, "src": "2057:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5348, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "2057:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "2042:30:8" }, "returnParameters": { "id": 5355, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5352, "name": "", "nodeType": "VariableDeclaration", "scope": 5386, "src": "2096:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5351, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "2096:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5354, "name": "", "nodeType": "VariableDeclaration", "scope": 5386, "src": "2107:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5353, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "2107:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "2095:23:8" }, "scope": 5798, "src": "2024:352:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5423, "nodeType": "Block", "src": "2584:212:8", "statements": [ { "assignments": [ 5398, 5400 ], "declarations": [ { "constant": false, "id": 5398, "name": "err", "nodeType": "VariableDeclaration", "scope": 5423, "src": "2595:13:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5397, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "2595:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5400, "name": "product", "nodeType": "VariableDeclaration", "scope": 5423, "src": "2610:18:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5399, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "2610:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "id": 5405, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5402, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5388, "src": "2642:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, { "argumentTypes": null, "id": 5403, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5390, "src": "2645:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5401, "name": "mulScalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5386, "src": "2632:9:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (struct Exponential.Exp memory,uint256) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5404, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "2632:20:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "nodeType": "VariableDeclarationStatement", "src": "2594:58:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5409, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5406, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5398, "src": "2666:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5407, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "2673:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5408, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "2673:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "2666:25:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5415, "nodeType": "IfStatement", "src": "2662:71:8", "trueBody": { "id": 5414, "nodeType": "Block", "src": "2693:40:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5410, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5398, "src": "2715:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "hexValue": "30", "id": 5411, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2720:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "id": 5412, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "2714:8:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_rational_0_by_1_$", "typeString": "tuple(enum CarefulMath.MathError,int_const 0)" } }, "functionReturnParameters": 5396, "id": 5413, "nodeType": "Return", "src": "2707:15:8" } ] } }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5416, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "2751:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5417, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "2751:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5419, "name": "product", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5400, "src": "2780:7:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5418, "name": "truncate", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5752, "src": "2771:8:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_uint256_$", "typeString": "function (struct Exponential.Exp memory) pure returns (uint256)" } }, "id": 5420, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "2771:17:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 5421, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "2750:39:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "functionReturnParameters": 5396, "id": 5422, "nodeType": "Return", "src": "2743:46:8" } ] }, "documentation": "@dev Multiply an Exp by a scalar, then truncate to return an unsigned integer.", "id": 5424, "implemented": true, "kind": "function", "modifiers": [], "name": "mulScalarTruncate", "nodeType": "FunctionDefinition", "parameters": { "id": 5391, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5388, "name": "a", "nodeType": "VariableDeclaration", "scope": 5424, "src": "2511:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5387, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "2511:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5390, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5424, "src": "2525:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5389, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "2525:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "2510:30:8" }, "returnParameters": { "id": 5396, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5393, "name": "", "nodeType": "VariableDeclaration", "scope": 5424, "src": "2564:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5392, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "2564:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5395, "name": "", "nodeType": "VariableDeclaration", "scope": 5424, "src": "2575:7:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5394, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "2575:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "2563:20:8" }, "scope": 5798, "src": "2484:312:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5463, "nodeType": "Block", "src": "3087:207:8", "statements": [ { "assignments": [ 5438, 5440 ], "declarations": [ { "constant": false, "id": 5438, "name": "err", "nodeType": "VariableDeclaration", "scope": 5463, "src": "3098:13:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5437, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "3098:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5440, "name": "product", "nodeType": "VariableDeclaration", "scope": 5463, "src": "3113:18:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5439, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "3113:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "id": 5445, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5442, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5426, "src": "3145:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, { "argumentTypes": null, "id": 5443, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5428, "src": "3148:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5441, "name": "mulScalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5386, "src": "3135:9:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (struct Exponential.Exp memory,uint256) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5444, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3135:20:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "nodeType": "VariableDeclarationStatement", "src": "3097:58:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5449, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5446, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5438, "src": "3169:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5447, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "3176:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5448, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "3176:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "3169:25:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5455, "nodeType": "IfStatement", "src": "3165:71:8", "trueBody": { "id": 5454, "nodeType": "Block", "src": "3196:40:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5450, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5438, "src": "3218:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "hexValue": "30", "id": 5451, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3223:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "id": 5452, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3217:8:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_rational_0_by_1_$", "typeString": "tuple(enum CarefulMath.MathError,int_const 0)" } }, "functionReturnParameters": 5436, "id": 5453, "nodeType": "Return", "src": "3210:15:8" } ] } }, { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5458, "name": "product", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5440, "src": "3270:7:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5457, "name": "truncate", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5752, "src": "3261:8:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_uint256_$", "typeString": "function (struct Exponential.Exp memory) pure returns (uint256)" } }, "id": 5459, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3261:17:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5460, "name": "addend", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5430, "src": "3280:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5456, "name": "addUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4568, "src": "3253:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5461, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3253:34:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "functionReturnParameters": 5436, "id": 5462, "nodeType": "Return", "src": "3246:41:8" } ] }, "documentation": "@dev Multiply an Exp by a scalar, truncate, then add an to an unsigned integer, returning an unsigned integer.", "id": 5464, "implemented": true, "kind": "function", "modifiers": [], "name": "mulScalarTruncateAddUInt", "nodeType": "FunctionDefinition", "parameters": { "id": 5431, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5426, "name": "a", "nodeType": "VariableDeclaration", "scope": 5464, "src": "2970:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5425, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "2970:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5428, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5464, "src": "2984:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5427, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "2984:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5430, "name": "addend", "nodeType": "VariableDeclaration", "scope": 5464, "src": "3000:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5429, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "3000:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "2969:46:8" }, "returnParameters": { "id": 5436, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5433, "name": "", "nodeType": "VariableDeclaration", "scope": 5464, "src": "3063:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5432, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "3063:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5435, "name": "", "nodeType": "VariableDeclaration", "scope": 5464, "src": "3074:7:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5434, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "3074:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "3062:20:8" }, "scope": 5798, "src": "2936:358:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5504, "nodeType": "Block", "src": "3471:261:8", "statements": [ { "assignments": [ 5476, 5478 ], "declarations": [ { "constant": false, "id": 5476, "name": "err0", "nodeType": "VariableDeclaration", "scope": 5504, "src": "3482:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5475, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "3482:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5478, "name": "descaledMantissa", "nodeType": "VariableDeclaration", "scope": 5504, "src": "3498:24:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5477, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "3498:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5484, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5480, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5466, "src": "3534:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5481, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "3534:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5482, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5468, "src": "3546:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5479, "name": "divUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4504, "src": "3526:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5483, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3526:27:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "3481:72:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5488, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5485, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5476, "src": "3567:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5486, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "3575:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5487, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "3575:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "3567:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5496, "nodeType": "IfStatement", "src": "3563:90:8", "trueBody": { "id": 5495, "nodeType": "Block", "src": "3595:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5489, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5476, "src": "3617:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5491, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3638:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5490, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "3623:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5492, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "3623:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5493, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3616:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5474, "id": 5494, "nodeType": "Return", "src": "3609:33:8" } ] } }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5497, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "3671:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5498, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "3671:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5500, "name": "descaledMantissa", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5478, "src": "3706:16:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5499, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "3691:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5501, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "3691:33:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5502, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3670:55:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5474, "id": 5503, "nodeType": "Return", "src": "3663:62:8" } ] }, "documentation": "@dev Divide an Exp by a scalar, returning a new Exp.", "id": 5505, "implemented": true, "kind": "function", "modifiers": [], "name": "divScalar", "nodeType": "FunctionDefinition", "parameters": { "id": 5469, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5466, "name": "a", "nodeType": "VariableDeclaration", "scope": 5505, "src": "3395:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5465, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "3395:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5468, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5505, "src": "3409:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5467, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "3409:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "3394:30:8" }, "returnParameters": { "id": 5474, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5471, "name": "", "nodeType": "VariableDeclaration", "scope": 5505, "src": "3448:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5470, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "3448:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5473, "name": "", "nodeType": "VariableDeclaration", "scope": 5505, "src": "3459:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5472, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "3459:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "3447:23:8" }, "scope": 5798, "src": "3376:356:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5543, "nodeType": "Block", "src": "3920:505:8", "statements": [ { "assignments": [ 5517, 5519 ], "declarations": [ { "constant": false, "id": 5517, "name": "err0", "nodeType": "VariableDeclaration", "scope": 5543, "src": "4205:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5516, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "4205:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5519, "name": "numerator", "nodeType": "VariableDeclaration", "scope": 5543, "src": "4221:17:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5518, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "4221:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5524, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5521, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "4250:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5522, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5507, "src": "4260:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5520, "name": "mulUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4475, "src": "4242:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5523, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4242:25:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "4204:63:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5528, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5525, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5517, "src": "4281:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5526, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "4289:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5527, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "4289:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "4281:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5536, "nodeType": "IfStatement", "src": "4277:90:8", "trueBody": { "id": 5535, "nodeType": "Block", "src": "4309:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5529, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5517, "src": "4331:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5531, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4352:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5530, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "4337:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5532, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "4337:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5533, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4330:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5515, "id": 5534, "nodeType": "Return", "src": "4323:33:8" } ] } }, { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5538, "name": "numerator", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5519, "src": "4390:9:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5539, "name": "divisor", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5509, "src": "4401:7:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5540, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "4401:16:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5537, "name": "getExp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5287, "src": "4383:6:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5541, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4383:35:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5515, "id": 5542, "nodeType": "Return", "src": "4376:42:8" } ] }, "documentation": "@dev Divide a scalar by an Exp, returning a new Exp.", "id": 5544, "implemented": true, "kind": "function", "modifiers": [], "name": "divScalarByExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5510, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5507, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5544, "src": "3838:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5506, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "3838:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5509, "name": "divisor", "nodeType": "VariableDeclaration", "scope": 5544, "src": "3854:18:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5508, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "3854:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "3837:36:8" }, "returnParameters": { "id": 5515, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5512, "name": "", "nodeType": "VariableDeclaration", "scope": 5544, "src": "3897:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5511, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "3897:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5514, "name": "", "nodeType": "VariableDeclaration", "scope": 5544, "src": "3908:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5513, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "3908:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "3896:23:8" }, "scope": 5798, "src": "3814:611:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5581, "nodeType": "Block", "src": "4642:225:8", "statements": [ { "assignments": [ 5556, 5558 ], "declarations": [ { "constant": false, "id": 5556, "name": "err", "nodeType": "VariableDeclaration", "scope": 5581, "src": "4653:13:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5555, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "4653:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5558, "name": "fraction", "nodeType": "VariableDeclaration", "scope": 5581, "src": "4668:19:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5557, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "4668:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "id": 5563, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5560, "name": "scalar", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5546, "src": "4706:6:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5561, "name": "divisor", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5548, "src": "4714:7:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5559, "name": "divScalarByExp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5544, "src": "4691:14:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (uint256,struct Exponential.Exp memory) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5562, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4691:31:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "nodeType": "VariableDeclarationStatement", "src": "4652:70:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5567, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5564, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5556, "src": "4736:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5565, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "4743:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5566, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "4743:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "4736:25:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5573, "nodeType": "IfStatement", "src": "4732:71:8", "trueBody": { "id": 5572, "nodeType": "Block", "src": "4763:40:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5568, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5556, "src": "4785:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "hexValue": "30", "id": 5569, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4790:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "id": 5570, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4784:8:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_rational_0_by_1_$", "typeString": "tuple(enum CarefulMath.MathError,int_const 0)" } }, "functionReturnParameters": 5554, "id": 5571, "nodeType": "Return", "src": "4777:15:8" } ] } }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5574, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "4821:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5575, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "4821:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5577, "name": "fraction", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5558, "src": "4850:8:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5576, "name": "truncate", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5752, "src": "4841:8:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_uint256_$", "typeString": "function (struct Exponential.Exp memory) pure returns (uint256)" } }, "id": 5578, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4841:18:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "id": 5579, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4820:40:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "functionReturnParameters": 5554, "id": 5580, "nodeType": "Return", "src": "4813:47:8" } ] }, "documentation": "@dev Divide a scalar by an Exp, then truncate to return an unsigned integer.", "id": 5582, "implemented": true, "kind": "function", "modifiers": [], "name": "divScalarByExpTruncate", "nodeType": "FunctionDefinition", "parameters": { "id": 5549, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5546, "name": "scalar", "nodeType": "VariableDeclaration", "scope": 5582, "src": "4563:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5545, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "4563:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5548, "name": "divisor", "nodeType": "VariableDeclaration", "scope": 5582, "src": "4579:18:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5547, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "4579:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "4562:36:8" }, "returnParameters": { "id": 5554, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5551, "name": "", "nodeType": "VariableDeclaration", "scope": 5582, "src": "4622:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5550, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "4622:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5553, "name": "", "nodeType": "VariableDeclaration", "scope": 5582, "src": "4633:7:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5552, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "4633:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "4621:20:8" }, "scope": 5798, "src": "4531:336:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5660, "nodeType": "Block", "src": "5049:1034:8", "statements": [ { "assignments": [ 5594, 5596 ], "declarations": [ { "constant": false, "id": 5594, "name": "err0", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5060:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5593, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "5060:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5596, "name": "doubleScaledProduct", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5076:27:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5595, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "5076:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5603, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5598, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5584, "src": "5115:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5599, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "5115:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5600, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5586, "src": "5127:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5601, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "5127:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5597, "name": "mulUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4475, "src": "5107:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5602, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5107:31:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "5059:79:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5607, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5604, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5594, "src": "5152:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5605, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "5160:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5606, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "5160:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "5152:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5615, "nodeType": "IfStatement", "src": "5148:90:8", "trueBody": { "id": 5614, "nodeType": "Block", "src": "5180:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5608, "name": "err0", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5594, "src": "5202:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5610, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5223:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5609, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "5208:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5611, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "5208:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5612, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5201:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5592, "id": 5613, "nodeType": "Return", "src": "5194:33:8" } ] } }, { "assignments": [ 5617, 5619 ], "declarations": [ { "constant": false, "id": 5617, "name": "err1", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5550:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5616, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "5550:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5619, "name": "doubleScaledProductWithHalfScale", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5566:40:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5618, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "5566:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5624, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5621, "name": "halfExpScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5220, "src": "5618:12:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5622, "name": "doubleScaledProduct", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5596, "src": "5632:19:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5620, "name": "addUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4568, "src": "5610:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5623, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5610:42:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "5549:103:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5628, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5625, "name": "err1", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5617, "src": "5666:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5626, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "5674:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5627, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "5674:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "5666:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5636, "nodeType": "IfStatement", "src": "5662:90:8", "trueBody": { "id": 5635, "nodeType": "Block", "src": "5694:58:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5629, "name": "err1", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5617, "src": "5716:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "hexValue": "30", "id": 5631, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5737:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" } ], "id": 5630, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "5722:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5632, "isConstant": false, "isLValue": false, "isPure": true, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "5722:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5633, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5715:26:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5592, "id": 5634, "nodeType": "Return", "src": "5708:33:8" } ] } }, { "assignments": [ 5638, 5640 ], "declarations": [ { "constant": false, "id": 5638, "name": "err2", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5763:14:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5637, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "5763:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5640, "name": "product", "nodeType": "VariableDeclaration", "scope": 5660, "src": "5779:15:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5639, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "5779:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 5645, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5642, "name": "doubleScaledProductWithHalfScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5619, "src": "5806:32:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 5643, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "5840:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5641, "name": "divUInt", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4504, "src": "5798:7:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,uint256)" } }, "id": 5644, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5798:51:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_uint256_$", "typeString": "tuple(enum CarefulMath.MathError,uint256)" } }, "nodeType": "VariableDeclarationStatement", "src": "5762:87:8" }, { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5650, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5647, "name": "err2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5638, "src": "5985:4:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5648, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "5993:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5649, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "5993:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "5985:26:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 5646, "name": "assert", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 11474, "src": "5978:6:8", "typeDescriptions": { "typeIdentifier": "t_function_assert_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 5651, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5978:34:8", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 5652, "nodeType": "ExpressionStatement", "src": "5978:34:8" }, { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5653, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "6031:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5654, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "6031:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5656, "name": "product", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5640, "src": "6066:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5655, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "6051:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5657, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "6051:24:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "id": 5658, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "6030:46:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5592, "id": 5659, "nodeType": "Return", "src": "6023:53:8" } ] }, "documentation": "@dev Multiplies two exponentials, returning a new exponential.", "id": 5661, "implemented": true, "kind": "function", "modifiers": [], "name": "mulExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5587, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5584, "name": "a", "nodeType": "VariableDeclaration", "scope": 5661, "src": "4975:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5583, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "4975:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5586, "name": "b", "nodeType": "VariableDeclaration", "scope": 5661, "src": "4989:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5585, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "4989:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "4974:28:8" }, "returnParameters": { "id": 5592, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5589, "name": "", "nodeType": "VariableDeclaration", "scope": 5661, "src": "5026:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5588, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "5026:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5591, "name": "", "nodeType": "VariableDeclaration", "scope": 5661, "src": "5037:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5590, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "5037:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "5025:23:8" }, "scope": 5798, "src": "4959:1124:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5681, "nodeType": "Block", "src": "6281:70:8", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5674, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5663, "src": "6320:1:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5673, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "6305:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5675, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "6305:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } }, { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5677, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5665, "src": "6340:1:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5676, "name": "Exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5226, "src": "6325:3:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_struct$_Exp_$5226_storage_ptr_$", "typeString": "type(struct Exponential.Exp storage pointer)" } }, "id": 5678, "isConstant": false, "isLValue": false, "isPure": false, "kind": "structConstructorCall", "lValueRequested": false, "names": [ "mantissa" ], "nodeType": "FunctionCall", "src": "6325:18:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" }, { "typeIdentifier": "t_struct$_Exp_$5226_memory", "typeString": "struct Exponential.Exp memory" } ], "id": 5672, "name": "mulExp", "nodeType": "Identifier", "overloadedDeclarations": [ 5661, 5682 ], "referencedDeclaration": 5661, "src": "6298:6:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (struct Exponential.Exp memory,struct Exponential.Exp memory) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5679, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "6298:46:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5671, "id": 5680, "nodeType": "Return", "src": "6291:53:8" } ] }, "documentation": "@dev Multiplies two exponentials given their mantissas, returning a new exponential.", "id": 5682, "implemented": true, "kind": "function", "modifiers": [], "name": "mulExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5666, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5663, "name": "a", "nodeType": "VariableDeclaration", "scope": 5682, "src": "6213:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5662, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "6213:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5665, "name": "b", "nodeType": "VariableDeclaration", "scope": 5682, "src": "6224:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5664, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "6224:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "6212:22:8" }, "returnParameters": { "id": 5671, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5668, "name": "", "nodeType": "VariableDeclaration", "scope": 5682, "src": "6258:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5667, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "6258:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5670, "name": "", "nodeType": "VariableDeclaration", "scope": 5682, "src": "6269:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5669, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6269:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "6257:23:8" }, "scope": 5798, "src": "6197:154:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5719, "nodeType": "Block", "src": "6550:173:8", "statements": [ { "assignments": [ 5696, 5698 ], "declarations": [ { "constant": false, "id": 5696, "name": "err", "nodeType": "VariableDeclaration", "scope": 5719, "src": "6561:13:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5695, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "6561:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5698, "name": "ab", "nodeType": "VariableDeclaration", "scope": 5719, "src": "6576:13:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5697, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6576:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "id": 5703, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5700, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5684, "src": "6600:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, { "argumentTypes": null, "id": 5701, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5686, "src": "6603:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" }, { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5699, "name": "mulExp", "nodeType": "Identifier", "overloadedDeclarations": [ 5661, 5682 ], "referencedDeclaration": 5661, "src": "6593:6:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (struct Exponential.Exp memory,struct Exponential.Exp memory) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5702, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "6593:12:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "nodeType": "VariableDeclarationStatement", "src": "6560:45:8" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "id": 5707, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 5704, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5696, "src": "6619:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "nodeType": "BinaryOperation", "operator": "!=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5705, "name": "MathError", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 4429, "src": "6626:9:8", "typeDescriptions": { "typeIdentifier": "t_type$_t_enum$_MathError_$4429_$", "typeString": "type(enum CarefulMath.MathError)" } }, "id": 5706, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "memberName": "NO_ERROR", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "6626:18:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "src": "6619:25:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 5713, "nodeType": "IfStatement", "src": "6615:72:8", "trueBody": { "id": 5712, "nodeType": "Block", "src": "6646:41:8", "statements": [ { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 5708, "name": "err", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5696, "src": "6668:3:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, { "argumentTypes": null, "id": 5709, "name": "ab", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5698, "src": "6673:2:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "id": 5710, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "6667:9:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5694, "id": 5711, "nodeType": "Return", "src": "6660:16:8" } ] } }, { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 5715, "name": "ab", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5698, "src": "6710:2:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, { "argumentTypes": null, "id": 5716, "name": "c", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5688, "src": "6714:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" }, { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } ], "id": 5714, "name": "mulExp", "nodeType": "Identifier", "overloadedDeclarations": [ 5661, 5682 ], "referencedDeclaration": 5661, "src": "6703:6:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_struct$_Exp_$5226_memory_ptr_$_t_struct$_Exp_$5226_memory_ptr_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (struct Exponential.Exp memory,struct Exponential.Exp memory) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5717, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "6703:13:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5694, "id": 5718, "nodeType": "Return", "src": "6696:20:8" } ] }, "documentation": "@dev Multiplies three exponentials, returning a new exponential.", "id": 5720, "implemented": true, "kind": "function", "modifiers": [], "name": "mulExp3", "nodeType": "FunctionDefinition", "parameters": { "id": 5689, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5684, "name": "a", "nodeType": "VariableDeclaration", "scope": 5720, "src": "6462:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5683, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6462:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5686, "name": "b", "nodeType": "VariableDeclaration", "scope": 5720, "src": "6476:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5685, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6476:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5688, "name": "c", "nodeType": "VariableDeclaration", "scope": 5720, "src": "6490:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5687, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6490:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "6461:42:8" }, "returnParameters": { "id": 5694, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5691, "name": "", "nodeType": "VariableDeclaration", "scope": 5720, "src": "6527:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5690, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "6527:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5693, "name": "", "nodeType": "VariableDeclaration", "scope": 5720, "src": "6538:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5692, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6538:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "6526:23:8" }, "scope": 5798, "src": "6445:278:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5738, "nodeType": "Block", "src": "7045:54:8", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5732, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5722, "src": "7069:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5733, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7069:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5734, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5724, "src": "7081:1:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5735, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7081:10:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 5731, "name": "getExp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5287, "src": "7062:6:8", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "function (uint256,uint256) pure returns (enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "id": 5736, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7062:30:8", "typeDescriptions": { "typeIdentifier": "t_tuple$_t_enum$_MathError_$4429_$_t_struct$_Exp_$5226_memory_ptr_$", "typeString": "tuple(enum CarefulMath.MathError,struct Exponential.Exp memory)" } }, "functionReturnParameters": 5730, "id": 5737, "nodeType": "Return", "src": "7055:37:8" } ] }, "documentation": "@dev Divides two exponentials, returning a new exponential.\n (a/scale) / (b/scale) = (a/scale) * (scale/b) = a/b,\n which we can scale as an Exp by calling getExp(a.mantissa, b.mantissa)", "id": 5739, "implemented": true, "kind": "function", "modifiers": [], "name": "divExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5725, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5722, "name": "a", "nodeType": "VariableDeclaration", "scope": 5739, "src": "6971:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5721, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6971:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5724, "name": "b", "nodeType": "VariableDeclaration", "scope": 5739, "src": "6985:12:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5723, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "6985:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "6970:28:8" }, "returnParameters": { "id": 5730, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5727, "name": "", "nodeType": "VariableDeclaration", "scope": 5739, "src": "7022:9:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" }, "typeName": { "contractScope": null, "id": 5726, "name": "MathError", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 4429, "src": "7022:9:8", "typeDescriptions": { "typeIdentifier": "t_enum$_MathError_$4429", "typeString": "enum CarefulMath.MathError" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5729, "name": "", "nodeType": "VariableDeclaration", "scope": 5739, "src": "7033:10:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5728, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7033:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "7021:23:8" }, "scope": 5798, "src": "6955:144:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5751, "nodeType": "Block", "src": "7317:147:8", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 5749, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5746, "name": "exp", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5741, "src": "7434:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5747, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7434:12:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 5748, "name": "expScale", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5215, "src": "7449:8:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7434:23:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 5745, "id": 5750, "nodeType": "Return", "src": "7427:30:8" } ] }, "documentation": "@dev Truncates the given exp to a whole number value.\n For example, truncate(Exp{mantissa: 15 * expScale}) = 15", "id": 5752, "implemented": true, "kind": "function", "modifiers": [], "name": "truncate", "nodeType": "FunctionDefinition", "parameters": { "id": 5742, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5741, "name": "exp", "nodeType": "VariableDeclaration", "scope": 5752, "src": "7269:14:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5740, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7269:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "7268:16:8" }, "returnParameters": { "id": 5745, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5744, "name": "", "nodeType": "VariableDeclaration", "scope": 5752, "src": "7308:7:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 5743, "name": "uint256", "nodeType": "ElementaryTypeName", "src": "7308:7:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7307:9:8" }, "scope": 5798, "src": "7251:213:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5767, "nodeType": "Block", "src": "7628:111:8", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 5765, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5761, "name": "left", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5754, "src": "7645:4:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5762, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7645:13:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5763, "name": "right", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5756, "src": "7661:5:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5764, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7661:14:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7645:30:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 5760, "id": 5766, "nodeType": "Return", "src": "7638:37:8" } ] }, "documentation": "@dev Checks if first Exp is less than second Exp.", "id": 5768, "implemented": true, "kind": "function", "modifiers": [], "name": "lessThanExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5757, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5754, "name": "left", "nodeType": "VariableDeclaration", "scope": 5768, "src": "7564:15:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5753, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7564:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5756, "name": "right", "nodeType": "VariableDeclaration", "scope": 5768, "src": "7581:16:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5755, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7581:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "7563:35:8" }, "returnParameters": { "id": 5760, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5759, "name": "", "nodeType": "VariableDeclaration", "scope": 5768, "src": "7622:4:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 5758, "name": "bool", "nodeType": "ElementaryTypeName", "src": "7622:4:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "7621:6:8" }, "scope": 5798, "src": "7543:196:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5783, "nodeType": "Block", "src": "7898:55:8", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 5781, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5777, "name": "left", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5770, "src": "7915:4:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5778, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7915:13:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<=", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5779, "name": "right", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5772, "src": "7932:5:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5780, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "7932:14:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7915:31:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 5776, "id": 5782, "nodeType": "Return", "src": "7908:38:8" } ] }, "documentation": "@dev Checks if left Exp <= right Exp.", "id": 5784, "implemented": true, "kind": "function", "modifiers": [], "name": "lessThanOrEqualExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5773, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5770, "name": "left", "nodeType": "VariableDeclaration", "scope": 5784, "src": "7834:15:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5769, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7834:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 5772, "name": "right", "nodeType": "VariableDeclaration", "scope": 5784, "src": "7851:16:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5771, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "7851:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "7833:35:8" }, "returnParameters": { "id": 5776, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5775, "name": "", "nodeType": "VariableDeclaration", "scope": 5784, "src": "7892:4:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 5774, "name": "bool", "nodeType": "ElementaryTypeName", "src": "7892:4:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "7891:6:8" }, "scope": 5798, "src": "7806:147:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 5796, "nodeType": "Block", "src": "8089:43:8", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 5794, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 5791, "name": "value", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 5786, "src": "8106:5:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp memory" } }, "id": 5792, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "memberName": "mantissa", "nodeType": "MemberAccess", "referencedDeclaration": 5225, "src": "8106:14:8", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 5793, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8124:1:8", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8106:19:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 5790, "id": 5795, "nodeType": "Return", "src": "8099:26:8" } ] }, "documentation": "@dev returns true if Exp is exactly zero", "id": 5797, "implemented": true, "kind": "function", "modifiers": [], "name": "isZeroExp", "nodeType": "FunctionDefinition", "parameters": { "id": 5787, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5786, "name": "value", "nodeType": "VariableDeclaration", "scope": 5797, "src": "8042:16:8", "stateVariable": false, "storageLocation": "memory", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_memory_ptr", "typeString": "struct Exponential.Exp" }, "typeName": { "contractScope": null, "id": 5785, "name": "Exp", "nodeType": "UserDefinedTypeName", "referencedDeclaration": 5226, "src": "8042:3:8", "typeDescriptions": { "typeIdentifier": "t_struct$_Exp_$5226_storage_ptr", "typeString": "struct Exponential.Exp" } }, "value": null, "visibility": "internal" } ], "src": "8041:18:8" }, "returnParameters": { "id": 5790, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 5789, "name": "", "nodeType": "VariableDeclaration", "scope": 5797, "src": "8083:4:8", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 5788, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8083:4:8", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "8082:6:8" }, "scope": 5798, "src": "8023:109:8", "stateMutability": "pure", "superFunction": null, "visibility": "internal" } ], "scope": 5799, "src": "378:7756:8" } ], "src": "0:8135:8" }, "compiler": { "name": "solc", "version": "0.5.12+commit.7709ece9.Emscripten.clang" }, "networks": {}, "schemaVersion": "3.0.21", "updatedAt": "2020-04-22T17:31:54.522Z", "devdoc": { "author": "Compound", "methods": {}, "title": "Exponential module for storing fixed-decision decimals" }, "userdoc": { "methods": {}, "notice": "Exp is a struct which stores decimals with a fixed precision of 18 decimal places. Thus, if we wanted to store the 5.1, mantissa would store 5.1e18. That is: `Exp({mantissa: 5100000000000000000})`." } }