{ "contractName": "Math", "abi": [ { "constant": true, "inputs": [], "name": "LN2", "outputs": [ { "name": "", "type": "uint256" } ], "payable": false, "stateMutability": "view", "type": "function" }, { "constant": true, "inputs": [], "name": "LOG2_E", "outputs": [ { "name": "", "type": "uint256" } ], "payable": false, "stateMutability": "view", "type": "function" }, { "constant": true, "inputs": [], "name": "ONE", "outputs": [ { "name": "", "type": "uint256" } ], "payable": false, "stateMutability": "view", "type": "function" }, { "constant": true, "inputs": [ { "name": "x", "type": "int256" } ], "name": "exp", "outputs": [ { "name": "", "type": "uint256" } ], "payable": false, "stateMutability": "pure", "type": "function" }, { "constant": true, "inputs": [ { "name": "x", "type": "uint256" } ], "name": "ln", "outputs": [ { "name": "", "type": "int256" } ], "payable": false, "stateMutability": "pure", "type": "function" }, { "constant": true, "inputs": [ { "name": "x", "type": "uint256" } ], "name": "floorLog2", "outputs": [ { "name": "lo", "type": "int256" } ], "payable": false, "stateMutability": "pure", "type": "function" }, { "constant": true, "inputs": [ { "name": "nums", "type": "int256[]" } ], "name": "max", "outputs": [ { "name": "maxNum", "type": "int256" } ], "payable": false, "stateMutability": "pure", "type": "function" } ], "bytecode": "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", "deployedBytecode": "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", "sourceMap": "202:9788:5:-;;132:2:-1;166:7;155:9;146:7;137:37;252:7;246:14;243:1;238:23;232:4;229:33;270:1;265:20;;;;222:63;;265:20;274:9;222:63;;298:9;295:1;288:20;328:4;319:7;311:22;352:7;343;336:24", "deployedSourceMap": "202:9788:5:-;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;354:45;;;;;;;;;;;;;;;;;;;;;;;405:49;;;;;;;;;;;;;;;;;;;;;;;3550:1831;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;5495:488;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;301:47;;;;;;;;;;;;;;;;;;;;;;;6105:268;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;608:2839;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;354:45;381:18;354:45;:::o;405:49::-;435:19;405:49;:::o;3550:1831::-;3615:3;3702:9;3736:5;4070:8;4133:11;4161;3646:1;3642;:5;3634:14;;;;;;;;3714:12;3724:1;3714:9;:12::i;:::-;3702:24;;3763:1;3755:5;:9;3751:105;;;3797:5;3796:6;;3786:1;:17;;;;3778:26;;3751:105;;;3849:5;3839:1;:16;;;;;3831:25;;3751:105;329:19;4110:1;:12;329:19;;4082:1;:12;4081:25;:42;;;;;;;;4070:53;;4147:4;4133:18;;329:19;4200:4;329:19;4182:4;4175;:11;:22;;;;;;;;:29;:40;;;;;;;;4161:54;;4246:1;4236:7;:11;;;;;;;;4225:22;;;;329:19;4295:4;329:19;4277:4;4267:7;:14;:25;;;;;;;;:32;:43;;;;;;;;4257:53;;4341:1;4331:7;:11;;;;;;;;4320:22;;;;329:19;4390:4;329:19;4372:4;4362:7;:14;:25;;;;;;;;:32;:43;;;;;;;;4352:53;;4436:1;4426:7;:11;;;;;;;;4415:22;;;;329:19;4485:4;329:19;4467:4;4457:7;:14;:25;;;;;;;;:32;:43;;;;;;;;4447:53;;4531:1;4521:7;:11;;;;;;;;4510:22;;;;329:19;4580:4;329:19;4562:4;4552:7;:14;:25;;;;;;;;:32;:43;;;;;;;;4542:53;;4626:2;4616:7;:12;;;;;;;;4605:23;;;;329:19;4676:4;329:19;4658:4;4648:7;:14;:25;;;;;;;;:32;:43;;;;;;;;4638:53;;4722:2;4712:7;:12;;;;;;;;4701:23;;;;329:19;4772:4;329:19;4754:4;4744:7;:14;:25;;;;;;;;:32;:43;;;;;;;;4734:53;;4818:2;4808:7;:12;;;;;;;;4797:23;;;;329:19;4868:4;329:19;4850:4;4840:7;:14;:25;;;;;;;;:32;:43;;;;;;;;4830:53;;4914:2;4904:7;:12;;;;;;;;4893:23;;;;329:19;4964:4;329:19;4946:4;4936:7;:14;:25;;;;;;;;:32;:43;;;;;;;;4926:53;;5010:2;5000:7;:12;;;;;;;;4989:23;;;;329:19;5060:4;329:19;5042:4;5032:7;:14;:25;;;;;;;;:32;:43;;;;;;;;5022:53;;5106:2;5096:7;:12;;;;;;;;5085:23;;;;329:19;5156:4;329:19;5138:4;5128:7;:14;:25;;;;;;;;:32;:43;;;;;;;;5118:53;;5202:2;5192:7;:12;;;;;;;;5181:23;;;;329:19;5252:4;329:19;5234:4;5224:7;:14;:25;;;;;;;;:32;:43;;;;;;;;5214:53;;5298:2;5288:7;:12;;;;;;;;5277:23;;;;5367:7;5363:1;:11;435:19;329;;5318:5;:16;5317:29;:43;;;;;;;;:57;5310:64;;3550:1831;;;;;;;;:::o;5495:488::-;5567:6;5607;5722:7;5594:3;5589:8;;5616:3;5607:12;;5745:1;5738:2;5733;:7;5732:14;;;;;5722:24;;5756:221;5773:2;5768:1;5763:2;:6;5762:13;5756:221;;;5801:1;5795:3;:7;:32;;;;;329:19;5817:3;5816:4;;5806:1;:15;;;;:21;5795:32;:68;;;;5838:1;5831:3;:8;;:32;;;;;329:19;5853:3;5843:1;:14;;;;;:20;5831:32;5795:68;5791:141;;;5886:3;5881:8;;5791:141;;;5929:3;5924:8;;5791:141;5965:1;5958:2;5953;:7;5952:14;;;;;5946:20;;5756:221;;;5495:488;;;;;:::o;301:47::-;329:19;301:47;:::o;6105:268::-;6175:10;6266:6;6223:1;6209:4;:11;:15;6201:24;;;;;;;;6244:7;6235:16;;6275:1;6266:10;;6261:105;6282:4;:11;6278:1;:15;6261:105;;;6326:6;6316:4;6321:1;6316:7;;;;;;;;;;;;;;;;;;:16;6312:54;;;6359:4;6364:1;6359:7;;;;;;;;;;;;;;;;;;6350:16;;6312:54;6295:3;;;;;;;6261:105;;;6105:268;;;;:::o;608:2839::-;673:4;1233:9;1252:6;2002:9;2025:11;825:22;820:1;:27;;812:36;;;;;;;;976:22;972:1;:26;968:52;;;1019:1;1012:8;;;;968:52;381:18;329:19;1074:1;:12;:23;;;;;;;;1070:27;;1277:1;1272;:6;;1268:199;;;329:19;1302:1;:12;;;;;;;;1294:20;;329:19;1337:1;:12;;;;;;;;1328:22;;1268:199;;;1412:1;329:19;1397:1;:12;;;;;;;;:16;1389:24;;329:19;1443:1;1442:2;;:13;;;;;;;;329:19;1431:25;1427:29;;1268:199;2014:1;2002:13;;329:19;2025:17;;329:19;2083:4;2062:18;:25;:31;;;;;;;;2052:41;;;;329:19;2117:1;2110:4;:8;:14;;;;;;;;2103:21;;329:19;2165:4;2144:18;:25;:31;;;;;;;;2134:41;;;;329:19;2199:1;2192:4;:8;:14;;;;;;;;2185:21;;329:19;2246:4;2226:17;:24;:30;;;;;;;;2216:40;;;;329:19;2280:1;2273:4;:8;:14;;;;;;;;2266:21;;329:19;2327:4;2307:17;:24;:30;;;;;;;;2297:40;;;;329:19;2361:1;2354:4;:8;:14;;;;;;;;2347:21;;329:19;2407:4;2388:16;:23;:29;;;;;;;;2378:39;;;;329:19;2441:1;2434:4;:8;:14;;;;;;;;2427:21;;329:19;2486:4;2468:15;:22;:28;;;;;;;;2458:38;;;;329:19;2520:1;2513:4;:8;:14;;;;;;;;2506:21;;329:19;2564:4;2547:14;:21;:27;;;;;;;;2537:37;;;;329:19;2598:1;2591:4;:8;:14;;;;;;;;2584:21;;329:19;2642:4;2625:14;:21;:27;;;;;;;;2615:37;;;;329:19;2676:1;2669:4;:8;:14;;;;;;;;2662:21;;329:19;2719:4;2703:13;:20;:26;;;;;;;;2693:36;;;;329:19;2753:1;2746:4;:8;:14;;;;;;;;2739:21;;329:19;2795:4;2780:12;:19;:25;;;;;;;;2770:35;;;;329:19;2829:1;2822:4;:8;:14;;;;;;;;2815:21;;329:19;2870:4;2856:11;:18;:24;;;;;;;;2846:34;;;;329:19;2904:1;2897:4;:8;:14;;;;;;;;2890:21;;329:19;2944:4;2931:10;:17;:23;;;;;;;;2921:33;;;;329:19;2978:1;2971:4;:8;:14;;;;;;;;2964:21;;329:19;3017:4;3005:9;:16;:22;;;;;;;;2995:32;;;;329:19;3051:1;3044:4;:8;:14;;;;;;;;3037:21;;329:19;3089:4;3078:8;:15;:21;;;;;;;;3068:31;;;;329:19;3123:1;3116:4;:8;:14;;;;;;;;3109:21;;329:19;3159:4;3150:6;:13;:19;;;;;;;;3140:29;;;;329:19;3193:1;3186:4;:8;:14;;;;;;;;3179:21;;329:19;3228:4;3220:5;:12;:18;;;;;;;;3210:28;;;;3261:1;3252:5;:10;;3248:192;;;3306:1;3297:5;3293:3;:9;3282:6;:21;;;;;;;;;;;;;:25;3278:64;;;3333:8;3325:17;;;;3278:64;3373:5;3363:6;:15;;;;;;;;;;;;3356:22;;;;3248:192;3434:5;3433:6;;3422;:18;;;;;;;;;;;;;3415:25;;608:2839;;;;;;;;:::o", "source": "pragma solidity ^0.4.18;\n\n\n/// @title Math library - Allows calculation of logarithmic and exponential functions\n/// @author Alan Lu - \n/// @author Stefan George - \nlibrary Math {\n\n /*\n * Constants\n */\n // This is equal to 1 in our calculations\n uint public constant ONE = 0x10000000000000000;\n uint public constant LN2 = 0xb17217f7d1cf79ac;\n uint public constant LOG2_E = 0x171547652b82fe177;\n\n /*\n * Public functions\n */\n /// @dev Returns natural exponential function value of given x\n /// @param x x\n /// @return e**x\n function exp(int x)\n public\n pure\n returns (uint)\n {\n // revert if x is > MAX_POWER, where\n // MAX_POWER = int(mp.floor(mp.log(mpf(2**256 - 1) / ONE) * ONE))\n require(x <= 2454971259878909886679);\n // return 0 if exp(x) is tiny, using\n // MIN_POWER = int(mp.floor(mp.log(mpf(1) / ONE) * ONE))\n if (x < -818323753292969962227)\n return 0;\n // Transform so that e^x -> 2^x\n x = x * int(ONE) / int(LN2);\n // 2^x = 2^whole(x) * 2^frac(x)\n // ^^^^^^^^^^ is a bit shift\n // so Taylor expand on z = frac(x)\n int shift;\n uint z;\n if (x >= 0) {\n shift = x / int(ONE);\n z = uint(x % int(ONE));\n }\n else {\n shift = x / int(ONE) - 1;\n z = ONE - uint(-x % int(ONE));\n }\n // 2^x = 1 + (ln 2) x + (ln 2)^2/2! x^2 + ...\n //\n // Can generate the z coefficients using mpmath and the following lines\n // >>> from mpmath import mp\n // >>> mp.dps = 100\n // >>> ONE = 0x10000000000000000\n // >>> print('\\n'.join(hex(int(mp.log(2)**i / mp.factorial(i) * ONE)) for i in range(1, 7)))\n // 0xb17217f7d1cf79ab\n // 0x3d7f7bff058b1d50\n // 0xe35846b82505fc5\n // 0x276556df749cee5\n // 0x5761ff9e299cc4\n // 0xa184897c363c3\n uint zpow = z;\n uint result = ONE;\n result += 0xb17217f7d1cf79ab * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0x3d7f7bff058b1d50 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0xe35846b82505fc5 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0x276556df749cee5 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0x5761ff9e299cc4 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0xa184897c363c3 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0xffe5fe2c4586 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0x162c0223a5c8 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0x1b5253d395e * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0x1e4cf5158b * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0x1e8cac735 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0x1c3bd650 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0x1816193 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0x131496 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0xe1b7 * zpow / ONE;\n zpow = zpow * z / ONE;\n result += 0x9c7 * zpow / ONE;\n if (shift >= 0) {\n if (result >> (256-shift) > 0)\n return (2**256-1);\n return result << shift;\n }\n else\n return result >> (-shift);\n }\n\n /// @dev Returns natural logarithm value of given x\n /// @param x x\n /// @return ln(x)\n function ln(uint x)\n public\n pure\n returns (int)\n {\n require(x > 0);\n // binary search for floor(log2(x))\n int ilog2 = floorLog2(x);\n int z;\n if (ilog2 < 0)\n z = int(x << uint(-ilog2));\n else\n z = int(x >> uint(ilog2));\n // z = x * 2^-⌊log₂x⌋\n // so 1 <= z < 2\n // and ln z = ln x - ⌊log₂x⌋/log₂e\n // so just compute ln z using artanh series\n // and calculate ln x from that\n int term = (z - int(ONE)) * int(ONE) / (z + int(ONE));\n int halflnz = term;\n int termpow = term * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 3;\n termpow = termpow * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 5;\n termpow = termpow * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 7;\n termpow = termpow * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 9;\n termpow = termpow * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 11;\n termpow = termpow * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 13;\n termpow = termpow * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 15;\n termpow = termpow * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 17;\n termpow = termpow * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 19;\n termpow = termpow * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 21;\n termpow = termpow * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 23;\n termpow = termpow * term / int(ONE) * term / int(ONE);\n halflnz += termpow / 25;\n return (ilog2 * int(ONE)) * int(ONE) / int(LOG2_E) + 2 * halflnz;\n }\n\n /// @dev Returns base 2 logarithm value of given x\n /// @param x x\n /// @return logarithmic value\n function floorLog2(uint x)\n public\n pure\n returns (int lo)\n {\n lo = -64;\n int hi = 193;\n // I use a shift here instead of / 2 because it floors instead of rounding towards 0\n int mid = (hi + lo) >> 1;\n while((lo + 1) < hi) {\n if (mid < 0 && x << uint(-mid) < ONE || mid >= 0 && x >> uint(mid) < ONE)\n hi = mid;\n else\n lo = mid;\n mid = (hi + lo) >> 1;\n }\n }\n\n /// @dev Returns maximum of an array\n /// @param nums Numbers to look through\n /// @return Maximum number\n function max(int[] nums)\n public\n pure\n returns (int maxNum)\n {\n require(nums.length > 0);\n maxNum = -2**255;\n for (uint i = 0; i < nums.length; i++)\n if (nums[i] > maxNum)\n maxNum = nums[i];\n }\n\n /// @dev Returns whether an add operation causes an overflow\n /// @param a First addend\n /// @param b Second addend\n /// @return Did no overflow occur?\n function safeToAdd(uint a, uint b)\n internal\n pure\n returns (bool)\n {\n return a + b >= a;\n }\n\n /// @dev Returns whether a subtraction operation causes an underflow\n /// @param a Minuend\n /// @param b Subtrahend\n /// @return Did no underflow occur?\n function safeToSub(uint a, uint b)\n internal\n pure\n returns (bool)\n {\n return a >= b;\n }\n\n /// @dev Returns whether a multiply operation causes an overflow\n /// @param a First factor\n /// @param b Second factor\n /// @return Did no overflow occur?\n function safeToMul(uint a, uint b)\n internal\n pure\n returns (bool)\n {\n return b == 0 || a * b / b == a;\n }\n\n /// @dev Returns sum if no overflow occurred\n /// @param a First addend\n /// @param b Second addend\n /// @return Sum\n function add(uint a, uint b)\n internal\n pure\n returns (uint)\n {\n require(safeToAdd(a, b));\n return a + b;\n }\n\n /// @dev Returns difference if no overflow occurred\n /// @param a Minuend\n /// @param b Subtrahend\n /// @return Difference\n function sub(uint a, uint b)\n internal\n pure\n returns (uint)\n {\n require(safeToSub(a, b));\n return a - b;\n }\n\n /// @dev Returns product if no overflow occurred\n /// @param a First factor\n /// @param b Second factor\n /// @return Product\n function mul(uint a, uint b)\n internal\n pure\n returns (uint)\n {\n require(safeToMul(a, b));\n return a * b;\n }\n\n /// @dev Returns whether an add operation causes an overflow\n /// @param a First addend\n /// @param b Second addend\n /// @return Did no overflow occur?\n function safeToAdd(int a, int b)\n internal\n pure\n returns (bool)\n {\n return (b >= 0 && a + b >= a) || (b < 0 && a + b < a);\n }\n\n /// @dev Returns whether a subtraction operation causes an underflow\n /// @param a Minuend\n /// @param b Subtrahend\n /// @return Did no underflow occur?\n function safeToSub(int a, int b)\n internal\n pure\n returns (bool)\n {\n return (b >= 0 && a - b <= a) || (b < 0 && a - b > a);\n }\n\n /// @dev Returns whether a multiply operation causes an overflow\n /// @param a First factor\n /// @param b Second factor\n /// @return Did no overflow occur?\n function safeToMul(int a, int b)\n internal\n pure\n returns (bool)\n {\n return (b == 0) || (a * b / b == a);\n }\n\n /// @dev Returns sum if no overflow occurred\n /// @param a First addend\n /// @param b Second addend\n /// @return Sum\n function add(int a, int b)\n internal\n pure\n returns (int)\n {\n require(safeToAdd(a, b));\n return a + b;\n }\n\n /// @dev Returns difference if no overflow occurred\n /// @param a Minuend\n /// @param b Subtrahend\n /// @return Difference\n function sub(int a, int b)\n internal\n pure\n returns (int)\n {\n require(safeToSub(a, b));\n return a - b;\n }\n\n /// @dev Returns product if no overflow occurred\n /// @param a First factor\n /// @param b Second factor\n /// @return Product\n function mul(int a, int b)\n internal\n pure\n returns (int)\n {\n require(safeToMul(a, b));\n return a * b;\n }\n}\n", "sourcePath": "@gnosis.pm/util-contracts/contracts/Math.sol", "ast": { "absolutePath": "@gnosis.pm/util-contracts/contracts/Math.sol", "exportedSymbols": { "Math": [ 1744 ] }, "id": 1745, "nodeType": "SourceUnit", "nodes": [ { "id": 617, "literals": [ "solidity", "^", "0.4", ".18" ], "nodeType": "PragmaDirective", "src": "0:24:5" }, { "baseContracts": [], "contractDependencies": [], "contractKind": "library", "documentation": "@title Math library - Allows calculation of logarithmic and exponential functions\n @author Alan Lu - \n @author Stefan George - ", "fullyImplemented": true, "id": 1744, "linearizedBaseContracts": [ 1744 ], "name": "Math", "nodeType": "ContractDefinition", "nodes": [ { "constant": true, "id": 620, "name": "ONE", "nodeType": "VariableDeclaration", "scope": 1744, "src": "301:47:5", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 618, "name": "uint", "nodeType": "ElementaryTypeName", "src": "301:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "hexValue": "30783130303030303030303030303030303030", "id": 619, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "329:19:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_18446744073709551616_by_1", "typeString": "int_const 18446744073709551616" }, "value": "0x10000000000000000" }, "visibility": "public" }, { "constant": true, "id": 623, "name": "LN2", "nodeType": "VariableDeclaration", "scope": 1744, "src": "354:45:5", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 621, "name": "uint", "nodeType": "ElementaryTypeName", "src": "354:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "hexValue": "307862313732313766376431636637396163", "id": 622, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "381:18:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_12786308645202655660_by_1", "typeString": "int_const 12786308645202655660" }, "value": "0xb17217f7d1cf79ac" }, "visibility": "public" }, { "constant": true, "id": 626, "name": "LOG2_E", "nodeType": "VariableDeclaration", "scope": 1744, "src": "405:49:5", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 624, "name": "uint", "nodeType": "ElementaryTypeName", "src": "405:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "hexValue": "30783137313534373635326238326665313737", "id": 625, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "435:19:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_26613026195688644983_by_1", "typeString": "int_const 26613026195688644983" }, "value": "0x171547652b82fe177" }, "visibility": "public" }, { "body": { "id": 998, "nodeType": "Block", "src": "683:2764:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 636, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 634, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "820:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<=", "rightExpression": { "argumentTypes": null, "hexValue": "32343534393731323539383738393039383836363739", "id": 635, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "825:22:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2454971259878909886679_by_1", "typeString": "int_const 2454971259878909886679" }, "value": "2454971259878909886679" }, "src": "820:27:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 633, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "812:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 637, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "812:36:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 638, "nodeType": "ExpressionStatement", "src": "812:36:5" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 642, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 639, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "972:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 641, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "976:22:5", "subExpression": { "argumentTypes": null, "hexValue": "383138333233373533323932393639393632323237", "id": 640, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "977:21:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_818323753292969962227_by_1", "typeString": "int_const 818323753292969962227" }, "value": "818323753292969962227" }, "typeDescriptions": { "typeIdentifier": "t_rational_-818323753292969962227_by_1", "typeString": "int_const -818323753292969962227" } }, "src": "972:26:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 645, "nodeType": "IfStatement", "src": "968:52:5", "trueBody": { "expression": { "argumentTypes": null, "hexValue": "30", "id": 643, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1019:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "functionReturnParameters": 632, "id": 644, "nodeType": "Return", "src": "1012:8:5" } }, { "expression": { "argumentTypes": null, "id": 656, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 646, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1070:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 655, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 651, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 647, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1074:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 649, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1082:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 648, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1078:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 650, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1078:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1074:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 653, "name": "LN2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 623, "src": "1093:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 652, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1089:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 654, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1089:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1074:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1070:27:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 657, "nodeType": "ExpressionStatement", "src": "1070:27:5" }, { "assignments": [], "declarations": [ { "constant": false, "id": 659, "name": "shift", "nodeType": "VariableDeclaration", "scope": 999, "src": "1233:9:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 658, "name": "int", "nodeType": "ElementaryTypeName", "src": "1233:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 660, "initialValue": null, "nodeType": "VariableDeclarationStatement", "src": "1233:9:5" }, { "assignments": [], "declarations": [ { "constant": false, "id": 662, "name": "z", "nodeType": "VariableDeclaration", "scope": 999, "src": "1252:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 661, "name": "uint", "nodeType": "ElementaryTypeName", "src": "1252:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 663, "initialValue": null, "nodeType": "VariableDeclarationStatement", "src": "1252:6:5" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 666, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 664, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1272:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 665, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1277:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "1272:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "id": 709, "nodeType": "Block", "src": "1375:92:5", "statements": [ { "expression": { "argumentTypes": null, "id": 694, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 686, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "1389:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 693, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 691, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 687, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1397:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 689, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1405:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 688, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1401:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 690, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1401:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1397:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "hexValue": "31", "id": 692, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1412:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "1397:16:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1389:24:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 695, "nodeType": "ExpressionStatement", "src": "1389:24:5" }, { "expression": { "argumentTypes": null, "id": 707, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 696, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "1427:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 706, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 697, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1431:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 704, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 700, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "1442:2:5", "subExpression": { "argumentTypes": null, "id": 699, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1443:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 702, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1451:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 701, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1447:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 703, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1447:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1442:13:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 698, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1437:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 705, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1437:19:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1431:25:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1427:29:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 708, "nodeType": "ExpressionStatement", "src": "1427:29:5" } ] }, "id": 710, "nodeType": "IfStatement", "src": "1268:199:5", "trueBody": { "id": 685, "nodeType": "Block", "src": "1280:81:5", "statements": [ { "expression": { "argumentTypes": null, "id": 673, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 667, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "1294:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 672, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 668, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1302:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 670, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1310:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 669, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1306:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 671, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1306:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1302:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1294:20:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 674, "nodeType": "ExpressionStatement", "src": "1294:20:5" }, { "expression": { "argumentTypes": null, "id": 683, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 675, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "1328:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 681, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 677, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1337:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 679, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1345:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 678, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1341:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 680, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1341:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1337:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 676, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1332:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 682, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1332:18:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1328:22:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 684, "nodeType": "ExpressionStatement", "src": "1328:22:5" } ] } }, { "assignments": [ 712 ], "declarations": [ { "constant": false, "id": 712, "name": "zpow", "nodeType": "VariableDeclaration", "scope": 999, "src": "2002:9:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 711, "name": "uint", "nodeType": "ElementaryTypeName", "src": "2002:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 714, "initialValue": { "argumentTypes": null, "id": 713, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2014:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "2002:13:5" }, { "assignments": [ 716 ], "declarations": [ { "constant": false, "id": 716, "name": "result", "nodeType": "VariableDeclaration", "scope": 999, "src": "2025:11:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 715, "name": "uint", "nodeType": "ElementaryTypeName", "src": "2025:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 718, "initialValue": { "argumentTypes": null, "id": 717, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2039:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "2025:17:5" }, { "expression": { "argumentTypes": null, "id": 725, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 719, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2052:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 724, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 722, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307862313732313766376431636637396162", "id": 720, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2062:18:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_12786308645202655659_by_1", "typeString": "int_const 12786308645202655659" }, "value": "0xb17217f7d1cf79ab" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 721, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2083:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2062:25:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 723, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2090:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2062:31:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2052:41:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 726, "nodeType": "ExpressionStatement", "src": "2052:41:5" }, { "expression": { "argumentTypes": null, "id": 733, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 727, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2103:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 732, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 730, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 728, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2110:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 729, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2117:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2110:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 731, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2121:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2110:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2103:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 734, "nodeType": "ExpressionStatement", "src": "2103:21:5" }, { "expression": { "argumentTypes": null, "id": 741, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 735, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2134:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 740, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 738, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307833643766376266663035386231643530", "id": 736, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2144:18:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_4431396893595737424_by_1", "typeString": "int_const 4431396893595737424" }, "value": "0x3d7f7bff058b1d50" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 737, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2165:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2144:25:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 739, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2172:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2144:31:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2134:41:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 742, "nodeType": "ExpressionStatement", "src": "2134:41:5" }, { "expression": { "argumentTypes": null, "id": 749, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 743, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2185:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 748, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 746, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 744, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2192:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 745, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2199:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2192:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 747, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2203:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2192:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2185:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 750, "nodeType": "ExpressionStatement", "src": "2185:21:5" }, { "expression": { "argumentTypes": null, "id": 757, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 751, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2216:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 756, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 754, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078653335383436623832353035666335", "id": 752, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2226:17:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1023870087579328453_by_1", "typeString": "int_const 1023870087579328453" }, "value": "0xe35846b82505fc5" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 753, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2246:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2226:24:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 755, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2253:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2226:30:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2216:40:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 758, "nodeType": "ExpressionStatement", "src": "2216:40:5" }, { "expression": { "argumentTypes": null, "id": 765, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 759, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2266:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 764, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 762, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 760, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2273:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 761, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2280:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2273:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 763, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2284:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2273:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2266:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 766, "nodeType": "ExpressionStatement", "src": "2266:21:5" }, { "expression": { "argumentTypes": null, "id": 773, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 767, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2297:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 772, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 770, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078323736353536646637343963656535", "id": 768, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2307:17:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_177423166116318949_by_1", "typeString": "int_const 177423166116318949" }, "value": "0x276556df749cee5" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 769, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2327:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2307:24:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 771, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2334:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2307:30:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2297:40:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 774, "nodeType": "ExpressionStatement", "src": "2297:40:5" }, { "expression": { "argumentTypes": null, "id": 781, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 775, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2347:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 780, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 778, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 776, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2354:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 777, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2361:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2354:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 779, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2365:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2354:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2347:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 782, "nodeType": "ExpressionStatement", "src": "2347:21:5" }, { "expression": { "argumentTypes": null, "id": 789, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 783, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2378:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 788, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 786, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "30783537363166663965323939636334", "id": 784, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2388:16:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_24596073471909060_by_1", "typeString": "int_const 24596073471909060" }, "value": "0x5761ff9e299cc4" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 785, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2407:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2388:23:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 787, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2414:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2388:29:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2378:39:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 790, "nodeType": "ExpressionStatement", "src": "2378:39:5" }, { "expression": { "argumentTypes": null, "id": 797, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 791, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2427:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 796, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 794, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 792, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2434:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 793, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2441:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2434:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 795, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2445:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2434:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2427:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 798, "nodeType": "ExpressionStatement", "src": "2427:21:5" }, { "expression": { "argumentTypes": null, "id": 805, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 799, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2458:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 804, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 802, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307861313834383937633336336333", "id": 800, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2468:15:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2841449829983171_by_1", "typeString": "int_const 2841449829983171" }, "value": "0xa184897c363c3" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 801, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2486:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2468:22:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 803, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2493:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2468:28:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2458:38:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 806, "nodeType": "ExpressionStatement", "src": "2458:38:5" }, { "expression": { "argumentTypes": null, "id": 813, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 807, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2506:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 812, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 810, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 808, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2513:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 809, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2520:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2513:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 811, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2524:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2513:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2506:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 814, "nodeType": "ExpressionStatement", "src": "2506:21:5" }, { "expression": { "argumentTypes": null, "id": 821, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 815, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2537:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 820, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 818, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078666665356665326334353836", "id": 816, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2547:14:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_281363276907910_by_1", "typeString": "int_const 281363276907910" }, "value": "0xffe5fe2c4586" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 817, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2564:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2547:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 819, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2571:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2547:27:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2537:37:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 822, "nodeType": "ExpressionStatement", "src": "2537:37:5" }, { "expression": { "argumentTypes": null, "id": 829, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 823, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2584:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 828, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 826, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 824, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2591:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 825, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2598:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2591:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 827, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2602:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2591:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2584:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 830, "nodeType": "ExpressionStatement", "src": "2584:21:5" }, { "expression": { "argumentTypes": null, "id": 837, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 831, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2615:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 836, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 834, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078313632633032323361356338", "id": 832, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2625:14:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_24378270262728_by_1", "typeString": "int_const 24378270262728" }, "value": "0x162c0223a5c8" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 833, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2642:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2625:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 835, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2649:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2625:27:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2615:37:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 838, "nodeType": "ExpressionStatement", "src": "2615:37:5" }, { "expression": { "argumentTypes": null, "id": 845, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 839, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2662:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 844, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 842, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 840, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2669:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 841, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2676:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2669:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 843, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2680:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2669:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2662:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 846, "nodeType": "ExpressionStatement", "src": "2662:21:5" }, { "expression": { "argumentTypes": null, "id": 853, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 847, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2693:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 852, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 850, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "30783162353235336433393565", "id": 848, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2703:13:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1877525477726_by_1", "typeString": "int_const 1877525477726" }, "value": "0x1b5253d395e" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 849, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2719:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2703:20:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 851, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2726:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2703:26:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2693:36:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 854, "nodeType": "ExpressionStatement", "src": "2693:36:5" }, { "expression": { "argumentTypes": null, "id": 861, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 855, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2739:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 860, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 858, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 856, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2746:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 857, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2753:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2746:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 859, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2757:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2746:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2739:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 862, "nodeType": "ExpressionStatement", "src": "2739:21:5" }, { "expression": { "argumentTypes": null, "id": 869, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 863, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2770:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 868, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 866, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307831653463663531353862", "id": 864, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2780:12:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_130140149131_by_1", "typeString": "int_const 130140149131" }, "value": "0x1e4cf5158b" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 865, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2795:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2780:19:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 867, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2802:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2780:25:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2770:35:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 870, "nodeType": "ExpressionStatement", "src": "2770:35:5" }, { "expression": { "argumentTypes": null, "id": 877, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 871, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2815:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 876, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 874, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 872, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2822:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 873, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2829:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2822:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 875, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2833:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2822:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2815:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 878, "nodeType": "ExpressionStatement", "src": "2815:21:5" }, { "expression": { "argumentTypes": null, "id": 885, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 879, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2846:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 884, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 882, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078316538636163373335", "id": 880, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2856:11:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_8200570677_by_1", "typeString": "int_const 8200570677" }, "value": "0x1e8cac735" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 881, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2870:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2856:18:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 883, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2877:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2856:24:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2846:34:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 886, "nodeType": "ExpressionStatement", "src": "2846:34:5" }, { "expression": { "argumentTypes": null, "id": 893, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 887, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2890:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 892, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 890, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 888, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2897:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 889, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2904:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2897:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 891, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2908:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2897:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2890:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 894, "nodeType": "ExpressionStatement", "src": "2890:21:5" }, { "expression": { "argumentTypes": null, "id": 901, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 895, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2921:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 900, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 898, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "30783163336264363530", "id": 896, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2931:10:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_473683536_by_1", "typeString": "int_const 473683536" }, "value": "0x1c3bd650" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 897, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2944:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2931:17:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 899, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2951:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2931:23:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2921:33:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 902, "nodeType": "ExpressionStatement", "src": "2921:33:5" }, { "expression": { "argumentTypes": null, "id": 909, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 903, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2964:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 908, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 906, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 904, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2971:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 905, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2978:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2971:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 907, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2982:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2971:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2964:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 910, "nodeType": "ExpressionStatement", "src": "2964:21:5" }, { "expression": { "argumentTypes": null, "id": 917, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 911, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2995:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 916, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 914, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307831383136313933", "id": 912, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3005:9:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_25256339_by_1", "typeString": "int_const 25256339" }, "value": "0x1816193" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 913, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3017:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3005:16:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 915, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3024:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3005:22:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2995:32:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 918, "nodeType": "ExpressionStatement", "src": "2995:32:5" }, { "expression": { "argumentTypes": null, "id": 925, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 919, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3037:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 924, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 922, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 920, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3044:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 921, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "3051:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3044:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 923, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3055:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3044:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3037:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 926, "nodeType": "ExpressionStatement", "src": "3037:21:5" }, { "expression": { "argumentTypes": null, "id": 933, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 927, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3068:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 932, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 930, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078313331343936", "id": 928, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3078:8:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1250454_by_1", "typeString": "int_const 1250454" }, "value": "0x131496" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 929, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3089:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3078:15:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 931, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3096:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3078:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3068:31:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 934, "nodeType": "ExpressionStatement", "src": "3068:31:5" }, { "expression": { "argumentTypes": null, "id": 941, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 935, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3109:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 940, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 938, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 936, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3116:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 937, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "3123:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3116:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 939, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3127:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3116:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3109:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 942, "nodeType": "ExpressionStatement", "src": "3109:21:5" }, { "expression": { "argumentTypes": null, "id": 949, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 943, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3140:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 948, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 946, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307865316237", "id": 944, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3150:6:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_57783_by_1", "typeString": "int_const 57783" }, "value": "0xe1b7" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 945, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3159:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3150:13:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 947, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3166:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3150:19:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3140:29:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 950, "nodeType": "ExpressionStatement", "src": "3140:29:5" }, { "expression": { "argumentTypes": null, "id": 957, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 951, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3179:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 956, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 954, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 952, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3186:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 953, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "3193:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3186:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 955, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3197:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3186:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3179:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 958, "nodeType": "ExpressionStatement", "src": "3179:21:5" }, { "expression": { "argumentTypes": null, "id": 965, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 959, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3210:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 964, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 962, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078396337", "id": 960, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3220:5:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2503_by_1", "typeString": "int_const 2503" }, "value": "0x9c7" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 961, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3228:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3220:12:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 963, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3235:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3220:18:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3210:28:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 966, "nodeType": "ExpressionStatement", "src": "3210:28:5" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 969, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 967, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "3252:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 968, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3261:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3252:10:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 995, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 991, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3422:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 993, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "3433:6:5", "subExpression": { "argumentTypes": null, "id": 992, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "3434:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 994, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3432:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3422:18:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 632, "id": 996, "nodeType": "Return", "src": "3415:25:5" }, "id": 997, "nodeType": "IfStatement", "src": "3248:192:5", "trueBody": { "id": 990, "nodeType": "Block", "src": "3264:125:5", "statements": [ { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 977, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 975, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 970, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3282:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 973, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "323536", "id": 971, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3293:3:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_256_by_1", "typeString": "int_const 256" }, "value": "256" }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "id": 972, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "3297:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3293:9:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 974, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3292:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3282:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 976, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3306:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3282:25:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 985, "nodeType": "IfStatement", "src": "3278:64:5", "trueBody": { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" }, "id": 982, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639936_by_1", "typeString": "int_const 1157...(70 digits omitted)...9936" }, "id": 980, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "32", "id": 978, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3333:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "nodeType": "BinaryOperation", "operator": "**", "rightExpression": { "argumentTypes": null, "hexValue": "323536", "id": 979, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3336:3:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_256_by_1", "typeString": "int_const 256" }, "value": "256" }, "src": "3333:6:5", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639936_by_1", "typeString": "int_const 1157...(70 digits omitted)...9936" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "hexValue": "31", "id": 981, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3340:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "3333:8:5", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" } } ], "id": 983, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3332:10:5", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" } }, "functionReturnParameters": 632, "id": 984, "nodeType": "Return", "src": "3325:17:5" } }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 988, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 986, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3363:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "argumentTypes": null, "id": 987, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "3373:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3363:15:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 632, "id": 989, "nodeType": "Return", "src": "3356:22:5" } ] } } ] }, "documentation": "@dev Returns natural exponential function value of given x\n @param x x\n @return e**x", "id": 999, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "exp", "nodeType": "FunctionDefinition", "parameters": { "id": 629, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 628, "name": "x", "nodeType": "VariableDeclaration", "scope": 999, "src": "621:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 627, "name": "int", "nodeType": "ElementaryTypeName", "src": "621:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "620:7:5" }, "payable": false, "returnParameters": { "id": 632, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 631, "name": "", "nodeType": "VariableDeclaration", "scope": 999, "src": "673:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 630, "name": "uint", "nodeType": "ElementaryTypeName", "src": "673:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "672:6:5" }, "scope": 1744, "src": "608:2839:5", "stateMutability": "pure", "superFunction": null, "visibility": "public" }, { "body": { "id": 1353, "nodeType": "Block", "src": "3624:1757:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1009, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1007, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1001, "src": "3642:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1008, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3646:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3642:5:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1006, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "3634:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1010, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3634:14:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1011, "nodeType": "ExpressionStatement", "src": "3634:14:5" }, { "assignments": [ 1013 ], "declarations": [ { "constant": false, "id": 1013, "name": "ilog2", "nodeType": "VariableDeclaration", "scope": 1354, "src": "3702:9:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1012, "name": "int", "nodeType": "ElementaryTypeName", "src": "3702:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1017, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1015, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1001, "src": "3724:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1014, "name": "floorLog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1430, "src": "3714:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$returns$_t_int256_$", "typeString": "function (uint256) pure returns (int256)" } }, "id": 1016, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3714:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "3702:24:5" }, { "assignments": [], "declarations": [ { "constant": false, "id": 1019, "name": "z", "nodeType": "VariableDeclaration", "scope": 1354, "src": "3736:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1018, "name": "int", "nodeType": "ElementaryTypeName", "src": "3736:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1020, "initialValue": null, "nodeType": "VariableDeclarationStatement", "src": "3736:5:5" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1023, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1021, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1013, "src": "3755:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1022, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3763:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3755:9:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "argumentTypes": null, "id": 1043, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1035, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1019, "src": "3831:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1041, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1037, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1001, "src": "3839:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1039, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1013, "src": "3849:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1038, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3844:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 1040, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3844:11:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3839:16:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1036, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3835:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1042, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3835:21:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3831:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1044, "nodeType": "ExpressionStatement", "src": "3831:25:5" }, "id": 1045, "nodeType": "IfStatement", "src": "3751:105:5", "trueBody": { "expression": { "argumentTypes": null, "id": 1033, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1024, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1019, "src": "3778:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1031, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1026, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1001, "src": "3786:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1029, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "3796:6:5", "subExpression": { "argumentTypes": null, "id": 1028, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1013, "src": "3797:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1027, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3791:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 1030, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3791:12:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3786:17:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1025, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3782:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1032, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3782:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3778:26:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1034, "nodeType": "ExpressionStatement", "src": "3778:26:5" } }, { "assignments": [ 1047 ], "declarations": [ { "constant": false, "id": 1047, "name": "term", "nodeType": "VariableDeclaration", "scope": 1354, "src": "4070:8:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1046, "name": "int", "nodeType": "ElementaryTypeName", "src": "4070:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1065, "initialValue": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1064, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1057, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1052, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1048, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1019, "src": "4082:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1050, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4090:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1049, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4086:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1051, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4086:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4082:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1053, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4081:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1055, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4102:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1054, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4098:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1056, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4098:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4081:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1062, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1058, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1019, "src": "4110:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1060, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4118:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1059, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4114:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1061, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4114:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4110:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1063, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4109:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4081:42:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4070:53:5" }, { "assignments": [ 1067 ], "declarations": [ { "constant": false, "id": 1067, "name": "halflnz", "nodeType": "VariableDeclaration", "scope": 1354, "src": "4133:11:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1066, "name": "int", "nodeType": "ElementaryTypeName", "src": "4133:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1069, "initialValue": { "argumentTypes": null, "id": 1068, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4147:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4133:18:5" }, { "assignments": [ 1071 ], "declarations": [ { "constant": false, "id": 1071, "name": "termpow", "nodeType": "VariableDeclaration", "scope": 1354, "src": "4161:11:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1070, "name": "int", "nodeType": "ElementaryTypeName", "src": "4161:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1085, "initialValue": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1084, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1080, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1078, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1074, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1072, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4175:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1073, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4182:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4175:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1076, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4193:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1075, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4189:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1077, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4189:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4175:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1079, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4200:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4175:29:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1082, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4211:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1081, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4207:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1083, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4207:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4175:40:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4161:54:5" }, { "expression": { "argumentTypes": null, "id": 1090, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1086, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4225:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1089, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1087, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4236:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "33", "id": 1088, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4246:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_3_by_1", "typeString": "int_const 3" }, "value": "3" }, "src": "4236:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4225:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1091, "nodeType": "ExpressionStatement", "src": "4225:22:5" }, { "expression": { "argumentTypes": null, "id": 1106, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1092, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4257:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1105, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1101, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1099, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1095, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1093, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4267:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1094, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4277:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4267:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1097, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4288:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1096, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4284:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1098, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4284:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4267:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1100, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4295:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4267:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1103, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4306:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1102, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4302:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1104, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4302:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4267:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4257:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1107, "nodeType": "ExpressionStatement", "src": "4257:53:5" }, { "expression": { "argumentTypes": null, "id": 1112, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1108, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4320:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1111, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1109, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4331:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "35", "id": 1110, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4341:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_5_by_1", "typeString": "int_const 5" }, "value": "5" }, "src": "4331:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4320:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1113, "nodeType": "ExpressionStatement", "src": "4320:22:5" }, { "expression": { "argumentTypes": null, "id": 1128, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1114, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4352:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1127, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1123, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1121, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1117, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1115, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4362:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1116, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4372:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4362:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1119, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4383:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1118, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4379:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1120, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4379:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4362:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1122, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4390:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4362:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1125, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4401:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1124, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4397:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1126, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4397:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4362:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4352:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1129, "nodeType": "ExpressionStatement", "src": "4352:53:5" }, { "expression": { "argumentTypes": null, "id": 1134, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1130, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4415:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1133, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1131, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4426:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "37", "id": 1132, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4436:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_7_by_1", "typeString": "int_const 7" }, "value": "7" }, "src": "4426:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4415:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1135, "nodeType": "ExpressionStatement", "src": "4415:22:5" }, { "expression": { "argumentTypes": null, "id": 1150, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1136, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4447:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1149, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1145, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1143, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1139, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1137, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4457:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1138, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4467:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4457:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1141, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4478:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1140, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4474:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1142, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4474:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4457:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1144, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4485:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4457:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1147, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4496:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1146, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4492:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1148, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4492:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4457:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4447:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1151, "nodeType": "ExpressionStatement", "src": "4447:53:5" }, { "expression": { "argumentTypes": null, "id": 1156, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1152, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4510:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1155, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1153, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4521:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "39", "id": 1154, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4531:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_9_by_1", "typeString": "int_const 9" }, "value": "9" }, "src": "4521:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4510:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1157, "nodeType": "ExpressionStatement", "src": "4510:22:5" }, { "expression": { "argumentTypes": null, "id": 1172, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1158, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4542:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1171, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1167, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1165, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1161, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1159, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4552:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1160, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4562:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4552:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1163, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4573:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1162, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4569:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1164, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4569:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4552:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1166, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4580:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4552:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1169, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4591:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1168, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4587:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1170, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4587:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4552:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4542:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1173, "nodeType": "ExpressionStatement", "src": "4542:53:5" }, { "expression": { "argumentTypes": null, "id": 1178, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1174, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4605:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1177, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1175, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4616:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3131", "id": 1176, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4626:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_11_by_1", "typeString": "int_const 11" }, "value": "11" }, "src": "4616:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4605:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1179, "nodeType": "ExpressionStatement", "src": "4605:23:5" }, { "expression": { "argumentTypes": null, "id": 1194, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1180, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4638:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1193, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1189, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1187, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1183, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1181, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4648:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1182, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4658:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4648:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1185, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4669:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1184, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4665:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1186, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4665:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4648:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1188, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4676:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4648:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1191, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4687:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1190, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4683:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1192, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4683:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4648:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4638:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1195, "nodeType": "ExpressionStatement", "src": "4638:53:5" }, { "expression": { "argumentTypes": null, "id": 1200, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1196, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4701:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1199, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1197, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4712:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3133", "id": 1198, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4722:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_13_by_1", "typeString": "int_const 13" }, "value": "13" }, "src": "4712:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4701:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1201, "nodeType": "ExpressionStatement", "src": "4701:23:5" }, { "expression": { "argumentTypes": null, "id": 1216, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1202, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4734:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1215, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1211, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1209, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1205, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1203, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4744:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1204, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4754:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4744:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1207, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4765:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1206, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4761:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1208, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4761:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4744:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1210, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4772:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4744:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1213, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4783:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1212, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4779:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1214, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4779:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4744:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4734:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1217, "nodeType": "ExpressionStatement", "src": "4734:53:5" }, { "expression": { "argumentTypes": null, "id": 1222, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1218, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4797:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1221, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1219, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4808:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3135", "id": 1220, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4818:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_15_by_1", "typeString": "int_const 15" }, "value": "15" }, "src": "4808:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4797:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1223, "nodeType": "ExpressionStatement", "src": "4797:23:5" }, { "expression": { "argumentTypes": null, "id": 1238, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1224, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4830:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1237, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1233, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1231, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1227, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1225, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4840:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1226, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4850:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4840:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1229, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4861:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1228, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4857:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1230, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4857:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4840:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1232, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4868:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4840:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1235, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4879:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1234, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4875:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1236, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4875:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4840:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4830:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1239, "nodeType": "ExpressionStatement", "src": "4830:53:5" }, { "expression": { "argumentTypes": null, "id": 1244, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1240, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4893:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1243, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1241, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4904:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3137", "id": 1242, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4914:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_17_by_1", "typeString": "int_const 17" }, "value": "17" }, "src": "4904:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4893:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1245, "nodeType": "ExpressionStatement", "src": "4893:23:5" }, { "expression": { "argumentTypes": null, "id": 1260, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1246, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4926:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1259, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1255, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1253, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1249, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1247, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4936:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1248, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4946:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4936:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1251, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4957:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1250, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4953:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1252, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4953:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4936:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1254, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4964:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4936:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1257, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4975:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1256, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4971:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1258, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4971:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4936:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4926:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1261, "nodeType": "ExpressionStatement", "src": "4926:53:5" }, { "expression": { "argumentTypes": null, "id": 1266, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1262, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4989:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1265, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1263, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5000:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3139", "id": 1264, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5010:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_19_by_1", "typeString": "int_const 19" }, "value": "19" }, "src": "5000:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4989:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1267, "nodeType": "ExpressionStatement", "src": "4989:23:5" }, { "expression": { "argumentTypes": null, "id": 1282, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1268, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5022:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1281, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1277, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1275, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1271, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1269, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5032:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1270, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5042:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5032:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1273, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5053:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1272, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5049:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1274, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5049:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5032:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1276, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5060:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5032:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1279, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5071:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1278, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5067:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1280, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5067:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5032:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5022:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1283, "nodeType": "ExpressionStatement", "src": "5022:53:5" }, { "expression": { "argumentTypes": null, "id": 1288, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1284, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "5085:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1287, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1285, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5096:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3231", "id": 1286, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5106:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_21_by_1", "typeString": "int_const 21" }, "value": "21" }, "src": "5096:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5085:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1289, "nodeType": "ExpressionStatement", "src": "5085:23:5" }, { "expression": { "argumentTypes": null, "id": 1304, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1290, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5118:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1303, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1299, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1297, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1293, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1291, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5128:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1292, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5138:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5128:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1295, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5149:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1294, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5145:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1296, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5145:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5128:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1298, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5156:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5128:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1301, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5167:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1300, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5163:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1302, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5163:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5128:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5118:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1305, "nodeType": "ExpressionStatement", "src": "5118:53:5" }, { "expression": { "argumentTypes": null, "id": 1310, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1306, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "5181:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1309, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1307, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5192:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3233", "id": 1308, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5202:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_23_by_1", "typeString": "int_const 23" }, "value": "23" }, "src": "5192:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5181:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1311, "nodeType": "ExpressionStatement", "src": "5181:23:5" }, { "expression": { "argumentTypes": null, "id": 1326, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1312, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5214:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1325, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1321, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1319, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1315, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1313, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5224:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1314, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5234:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5224:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1317, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5245:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1316, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5241:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1318, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5241:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5224:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1320, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5252:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5224:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1323, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5263:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1322, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5259:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1324, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5259:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5224:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5214:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1327, "nodeType": "ExpressionStatement", "src": "5214:53:5" }, { "expression": { "argumentTypes": null, "id": 1332, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1328, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "5277:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1331, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1329, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5288:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3235", "id": 1330, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5298:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_25_by_1", "typeString": "int_const 25" }, "value": "25" }, "src": "5288:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5277:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1333, "nodeType": "ExpressionStatement", "src": "5277:23:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1351, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1347, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1343, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1338, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1334, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1013, "src": "5318:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1336, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5330:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1335, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5326:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1337, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5326:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5318:16:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1339, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5317:18:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1341, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5342:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1340, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5338:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1342, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5338:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5317:29:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1345, "name": "LOG2_E", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 626, "src": "5353:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1344, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5349:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1346, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5349:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5317:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1350, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "32", "id": 1348, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5363:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1349, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "5367:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5363:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5317:57:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1005, "id": 1352, "nodeType": "Return", "src": "5310:64:5" } ] }, "documentation": "@dev Returns natural logarithm value of given x\n @param x x\n @return ln(x)", "id": 1354, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "ln", "nodeType": "FunctionDefinition", "parameters": { "id": 1002, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1001, "name": "x", "nodeType": "VariableDeclaration", "scope": 1354, "src": "3562:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1000, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3562:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "3561:8:5" }, "payable": false, "returnParameters": { "id": 1005, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1004, "name": "", "nodeType": "VariableDeclaration", "scope": 1354, "src": "3615:3:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1003, "name": "int", "nodeType": "ElementaryTypeName", "src": "3615:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "3614:5:5" }, "scope": 1744, "src": "3550:1831:5", "stateMutability": "pure", "superFunction": null, "visibility": "public" }, { "body": { "id": 1429, "nodeType": "Block", "src": "5579:404:5", "statements": [ { "expression": { "argumentTypes": null, "id": 1364, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1361, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1359, "src": "5589:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "id": 1363, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "5594:3:5", "subExpression": { "argumentTypes": null, "hexValue": "3634", "id": 1362, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5595:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_64_by_1", "typeString": "int_const 64" }, "value": "64" }, "typeDescriptions": { "typeIdentifier": "t_rational_-64_by_1", "typeString": "int_const -64" } }, "src": "5589:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1365, "nodeType": "ExpressionStatement", "src": "5589:8:5" }, { "assignments": [ 1367 ], "declarations": [ { "constant": false, "id": 1367, "name": "hi", "nodeType": "VariableDeclaration", "scope": 1430, "src": "5607:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1366, "name": "int", "nodeType": "ElementaryTypeName", "src": "5607:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1369, "initialValue": { "argumentTypes": null, "hexValue": "313933", "id": 1368, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5616:3:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_193_by_1", "typeString": "int_const 193" }, "value": "193" }, "nodeType": "VariableDeclarationStatement", "src": "5607:12:5" }, { "assignments": [ 1371 ], "declarations": [ { "constant": false, "id": 1371, "name": "mid", "nodeType": "VariableDeclaration", "scope": 1430, "src": "5722:7:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1370, "name": "int", "nodeType": "ElementaryTypeName", "src": "5722:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1378, "initialValue": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1377, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1374, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1372, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1367, "src": "5733:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1373, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1359, "src": "5738:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5733:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1375, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5732:9:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "hexValue": "31", "id": 1376, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5745:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5732:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "5722:24:5" }, { "body": { "id": 1427, "nodeType": "Block", "src": "5777:200:5", "statements": [ { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1408, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1396, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1387, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1385, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5795:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1386, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5801:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "5795:7:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1395, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1393, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1388, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1356, "src": "5806:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1391, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "5816:4:5", "subExpression": { "argumentTypes": null, "id": 1390, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5817:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1389, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5811:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 1392, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5811:10:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5806:15:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 1394, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5824:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5806:21:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5795:32:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1407, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1399, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1397, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5831:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1398, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5838:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "5831:8:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1406, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1404, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1400, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1356, "src": "5843:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1402, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5853:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1401, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5848:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 1403, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5848:9:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5843:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 1405, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5860:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5843:20:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5831:32:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5795:68:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "argumentTypes": null, "id": 1415, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1413, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1359, "src": "5924:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "id": 1414, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5929:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5924:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1416, "nodeType": "ExpressionStatement", "src": "5924:8:5" }, "id": 1417, "nodeType": "IfStatement", "src": "5791:141:5", "trueBody": { "expression": { "argumentTypes": null, "id": 1411, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1409, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1367, "src": "5881:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "id": 1410, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5886:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5881:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1412, "nodeType": "ExpressionStatement", "src": "5881:8:5" } }, { "expression": { "argumentTypes": null, "id": 1425, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1418, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5946:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1424, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1421, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1419, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1367, "src": "5953:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1420, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1359, "src": "5958:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5953:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1422, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5952:9:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "hexValue": "31", "id": 1423, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5965:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5952:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5946:20:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1426, "nodeType": "ExpressionStatement", "src": "5946:20:5" } ] }, "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1384, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1381, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1379, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1359, "src": "5763:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "hexValue": "31", "id": 1380, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5768:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5763:6:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1382, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5762:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 1383, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1367, "src": "5773:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5762:13:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 1428, "nodeType": "WhileStatement", "src": "5756:221:5" } ] }, "documentation": "@dev Returns base 2 logarithm value of given x\n @param x x\n @return logarithmic value", "id": 1430, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "floorLog2", "nodeType": "FunctionDefinition", "parameters": { "id": 1357, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1356, "name": "x", "nodeType": "VariableDeclaration", "scope": 1430, "src": "5514:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1355, "name": "uint", "nodeType": "ElementaryTypeName", "src": "5514:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "5513:8:5" }, "payable": false, "returnParameters": { "id": 1360, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1359, "name": "lo", "nodeType": "VariableDeclaration", "scope": 1430, "src": "5567:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1358, "name": "int", "nodeType": "ElementaryTypeName", "src": "5567:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "5566:8:5" }, "scope": 1744, "src": "5495:488:5", "stateMutability": "pure", "superFunction": null, "visibility": "public" }, { "body": { "id": 1476, "nodeType": "Block", "src": "6191:182:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1442, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 1439, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "6209:4:5", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1440, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "length", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "6209:11:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1441, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6223:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "6209:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1438, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "6201:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1443, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "6201:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1444, "nodeType": "ExpressionStatement", "src": "6201:24:5" }, { "expression": { "argumentTypes": null, "id": 1450, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1445, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1436, "src": "6235:6:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_rational_-57896044618658097711785492504343953926634992332820282019728792003956564819968_by_1", "typeString": "int_const -578...(70 digits omitted)...9968" }, "id": 1449, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1447, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "6244:2:5", "subExpression": { "argumentTypes": null, "hexValue": "32", "id": 1446, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6245:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "typeDescriptions": { "typeIdentifier": "t_rational_-2_by_1", "typeString": "int_const -2" } }, "nodeType": "BinaryOperation", "operator": "**", "rightExpression": { "argumentTypes": null, "hexValue": "323535", "id": 1448, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6248:3:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_255_by_1", "typeString": "int_const 255" }, "value": "255" }, "src": "6244:7:5", "typeDescriptions": { "typeIdentifier": "t_rational_-57896044618658097711785492504343953926634992332820282019728792003956564819968_by_1", "typeString": "int_const -578...(70 digits omitted)...9968" } }, "src": "6235:16:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1451, "nodeType": "ExpressionStatement", "src": "6235:16:5" }, { "body": { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1467, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "baseExpression": { "argumentTypes": null, "id": 1463, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "6316:4:5", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1465, "indexExpression": { "argumentTypes": null, "id": 1464, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1453, "src": "6321:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "nodeType": "IndexAccess", "src": "6316:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "id": 1466, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1436, "src": "6326:6:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "6316:16:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 1474, "nodeType": "IfStatement", "src": "6312:54:5", "trueBody": { "expression": { "argumentTypes": null, "id": 1472, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1468, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1436, "src": "6350:6:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "baseExpression": { "argumentTypes": null, "id": 1469, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "6359:4:5", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1471, "indexExpression": { "argumentTypes": null, "id": 1470, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1453, "src": "6364:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "nodeType": "IndexAccess", "src": "6359:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "6350:16:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1473, "nodeType": "ExpressionStatement", "src": "6350:16:5" } }, "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1459, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1456, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1453, "src": "6278:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 1457, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "6282:4:5", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1458, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "length", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "6282:11:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6278:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 1475, "initializationExpression": { "assignments": [ 1453 ], "declarations": [ { "constant": false, "id": 1453, "name": "i", "nodeType": "VariableDeclaration", "scope": 1477, "src": "6266:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1452, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6266:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 1455, "initialValue": { "argumentTypes": null, "hexValue": "30", "id": 1454, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6275:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "nodeType": "VariableDeclarationStatement", "src": "6266:10:5" }, "loopExpression": { "expression": { "argumentTypes": null, "id": 1461, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "++", "prefix": false, "src": "6295:3:5", "subExpression": { "argumentTypes": null, "id": 1460, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1453, "src": "6295:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 1462, "nodeType": "ExpressionStatement", "src": "6295:3:5" }, "nodeType": "ForStatement", "src": "6261:105:5" } ] }, "documentation": "@dev Returns maximum of an array\n @param nums Numbers to look through\n @return Maximum number", "id": 1477, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "max", "nodeType": "FunctionDefinition", "parameters": { "id": 1434, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1433, "name": "nums", "nodeType": "VariableDeclaration", "scope": 1477, "src": "6118:10:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[]" }, "typeName": { "baseType": { "id": 1431, "name": "int", "nodeType": "ElementaryTypeName", "src": "6118:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1432, "length": null, "nodeType": "ArrayTypeName", "src": "6118:5:5", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_storage_ptr", "typeString": "int256[]" } }, "value": null, "visibility": "internal" } ], "src": "6117:12:5" }, "payable": false, "returnParameters": { "id": 1437, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1436, "name": "maxNum", "nodeType": "VariableDeclaration", "scope": 1477, "src": "6175:10:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1435, "name": "int", "nodeType": "ElementaryTypeName", "src": "6175:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "6174:12:5" }, "scope": 1744, "src": "6105:268:5", "stateMutability": "pure", "superFunction": null, "visibility": "public" }, { "body": { "id": 1492, "nodeType": "Block", "src": "6636:34:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1490, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1488, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1486, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1479, "src": "6653:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1487, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1481, "src": "6657:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6653:5:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "id": 1489, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1479, "src": "6662:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6653:10:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1485, "id": 1491, "nodeType": "Return", "src": "6646:17:5" } ] }, "documentation": "@dev Returns whether an add operation causes an overflow\n @param a First addend\n @param b Second addend\n @return Did no overflow occur?", "id": 1493, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToAdd", "nodeType": "FunctionDefinition", "parameters": { "id": 1482, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1479, "name": "a", "nodeType": "VariableDeclaration", "scope": 1493, "src": "6563:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1478, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6563:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1481, "name": "b", "nodeType": "VariableDeclaration", "scope": 1493, "src": "6571:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1480, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6571:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "6562:16:5" }, "payable": false, "returnParameters": { "id": 1485, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1484, "name": "", "nodeType": "VariableDeclaration", "scope": 1493, "src": "6626:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1483, "name": "bool", "nodeType": "ElementaryTypeName", "src": "6626:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "6625:6:5" }, "scope": 1744, "src": "6544:126:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1506, "nodeType": "Block", "src": "6934:30:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1504, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1502, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1495, "src": "6951:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "id": 1503, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1497, "src": "6956:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6951:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1501, "id": 1505, "nodeType": "Return", "src": "6944:13:5" } ] }, "documentation": "@dev Returns whether a subtraction operation causes an underflow\n @param a Minuend\n @param b Subtrahend\n @return Did no underflow occur?", "id": 1507, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToSub", "nodeType": "FunctionDefinition", "parameters": { "id": 1498, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1495, "name": "a", "nodeType": "VariableDeclaration", "scope": 1507, "src": "6861:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1494, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6861:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1497, "name": "b", "nodeType": "VariableDeclaration", "scope": 1507, "src": "6869:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1496, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6869:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "6860:16:5" }, "payable": false, "returnParameters": { "id": 1501, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1500, "name": "", "nodeType": "VariableDeclaration", "scope": 1507, "src": "6924:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1499, "name": "bool", "nodeType": "ElementaryTypeName", "src": "6924:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "6923:6:5" }, "scope": 1744, "src": "6842:122:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1528, "nodeType": "Block", "src": "7231:48:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1526, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1518, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1516, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1511, "src": "7248:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1517, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "7253:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "7248:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1525, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1523, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1521, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1519, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1509, "src": "7258:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1520, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1511, "src": "7262:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7258:5:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 1522, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1511, "src": "7266:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7258:9:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "id": 1524, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1509, "src": "7271:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7258:14:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "7248:24:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1515, "id": 1527, "nodeType": "Return", "src": "7241:31:5" } ] }, "documentation": "@dev Returns whether a multiply operation causes an overflow\n @param a First factor\n @param b Second factor\n @return Did no overflow occur?", "id": 1529, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToMul", "nodeType": "FunctionDefinition", "parameters": { "id": 1512, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1509, "name": "a", "nodeType": "VariableDeclaration", "scope": 1529, "src": "7158:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1508, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7158:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1511, "name": "b", "nodeType": "VariableDeclaration", "scope": 1529, "src": "7166:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1510, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7166:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7157:16:5" }, "payable": false, "returnParameters": { "id": 1515, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1514, "name": "", "nodeType": "VariableDeclaration", "scope": 1529, "src": "7221:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1513, "name": "bool", "nodeType": "ElementaryTypeName", "src": "7221:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "7220:6:5" }, "scope": 1744, "src": "7139:140:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1549, "nodeType": "Block", "src": "7501:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1540, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1531, "src": "7529:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 1541, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1533, "src": "7532:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1539, "name": "safeToAdd", "nodeType": "Identifier", "overloadedDeclarations": [ 1493, 1624 ], "referencedDeclaration": 1493, "src": "7519:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1542, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7519:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1538, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "7511:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1543, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7511:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1544, "nodeType": "ExpressionStatement", "src": "7511:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1547, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1545, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1531, "src": "7552:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1546, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1533, "src": "7556:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7552:5:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1537, "id": 1548, "nodeType": "Return", "src": "7545:12:5" } ] }, "documentation": "@dev Returns sum if no overflow occurred\n @param a First addend\n @param b Second addend\n @return Sum", "id": 1550, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "add", "nodeType": "FunctionDefinition", "parameters": { "id": 1534, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1531, "name": "a", "nodeType": "VariableDeclaration", "scope": 1550, "src": "7428:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1530, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7428:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1533, "name": "b", "nodeType": "VariableDeclaration", "scope": 1550, "src": "7436:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1532, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7436:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7427:16:5" }, "payable": false, "returnParameters": { "id": 1537, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1536, "name": "", "nodeType": "VariableDeclaration", "scope": 1550, "src": "7491:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1535, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7491:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7490:6:5" }, "scope": 1744, "src": "7415:149:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1570, "nodeType": "Block", "src": "7792:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1561, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1552, "src": "7820:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 1562, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1554, "src": "7823:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1560, "name": "safeToSub", "nodeType": "Identifier", "overloadedDeclarations": [ 1507, 1656 ], "referencedDeclaration": 1507, "src": "7810:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1563, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7810:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1559, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "7802:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1564, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7802:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1565, "nodeType": "ExpressionStatement", "src": "7802:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1568, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1566, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1552, "src": "7843:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "id": 1567, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1554, "src": "7847:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7843:5:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1558, "id": 1569, "nodeType": "Return", "src": "7836:12:5" } ] }, "documentation": "@dev Returns difference if no overflow occurred\n @param a Minuend\n @param b Subtrahend\n @return Difference", "id": 1571, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "sub", "nodeType": "FunctionDefinition", "parameters": { "id": 1555, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1552, "name": "a", "nodeType": "VariableDeclaration", "scope": 1571, "src": "7719:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1551, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7719:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1554, "name": "b", "nodeType": "VariableDeclaration", "scope": 1571, "src": "7727:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1553, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7727:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7718:16:5" }, "payable": false, "returnParameters": { "id": 1558, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1557, "name": "", "nodeType": "VariableDeclaration", "scope": 1571, "src": "7782:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1556, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7782:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7781:6:5" }, "scope": 1744, "src": "7706:149:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1591, "nodeType": "Block", "src": "8085:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1582, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1573, "src": "8113:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 1583, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1575, "src": "8116:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1581, "name": "safeToMul", "nodeType": "Identifier", "overloadedDeclarations": [ 1529, 1680 ], "referencedDeclaration": 1529, "src": "8103:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1584, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "8103:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1580, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "8095:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1585, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "8095:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1586, "nodeType": "ExpressionStatement", "src": "8095:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1589, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1587, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1573, "src": "8136:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1588, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1575, "src": "8140:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "8136:5:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1579, "id": 1590, "nodeType": "Return", "src": "8129:12:5" } ] }, "documentation": "@dev Returns product if no overflow occurred\n @param a First factor\n @param b Second factor\n @return Product", "id": 1592, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "mul", "nodeType": "FunctionDefinition", "parameters": { "id": 1576, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1573, "name": "a", "nodeType": "VariableDeclaration", "scope": 1592, "src": "8012:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1572, "name": "uint", "nodeType": "ElementaryTypeName", "src": "8012:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1575, "name": "b", "nodeType": "VariableDeclaration", "scope": 1592, "src": "8020:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1574, "name": "uint", "nodeType": "ElementaryTypeName", "src": "8020:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "8011:16:5" }, "payable": false, "returnParameters": { "id": 1579, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1578, "name": "", "nodeType": "VariableDeclaration", "scope": 1592, "src": "8075:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1577, "name": "uint", "nodeType": "ElementaryTypeName", "src": "8075:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "8074:6:5" }, "scope": 1744, "src": "7999:149:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1623, "nodeType": "Block", "src": "8409:70:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1621, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1609, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1603, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1601, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1596, "src": "8427:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1602, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8432:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8427:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1608, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1606, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1604, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1594, "src": "8437:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1605, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1596, "src": "8441:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8437:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "id": 1607, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1594, "src": "8446:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8437:10:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8427:20:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1610, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8426:22:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1619, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1613, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1611, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1596, "src": "8453:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1612, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8457:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8453:5:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1618, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1616, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1614, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1594, "src": "8462:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1615, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1596, "src": "8466:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8462:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 1617, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1594, "src": "8470:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8462:9:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8453:18:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1620, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8452:20:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8426:46:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1600, "id": 1622, "nodeType": "Return", "src": "8419:53:5" } ] }, "documentation": "@dev Returns whether an add operation causes an overflow\n @param a First addend\n @param b Second addend\n @return Did no overflow occur?", "id": 1624, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToAdd", "nodeType": "FunctionDefinition", "parameters": { "id": 1597, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1594, "name": "a", "nodeType": "VariableDeclaration", "scope": 1624, "src": "8338:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1593, "name": "int", "nodeType": "ElementaryTypeName", "src": "8338:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1596, "name": "b", "nodeType": "VariableDeclaration", "scope": 1624, "src": "8345:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1595, "name": "int", "nodeType": "ElementaryTypeName", "src": "8345:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "8337:14:5" }, "payable": false, "returnParameters": { "id": 1600, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1599, "name": "", "nodeType": "VariableDeclaration", "scope": 1624, "src": "8399:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1598, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8399:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "8398:6:5" }, "scope": 1744, "src": "8319:160:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1655, "nodeType": "Block", "src": "8741:70:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1653, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1641, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1635, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1633, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1628, "src": "8759:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1634, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8764:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8759:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1640, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1638, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1636, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1626, "src": "8769:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "id": 1637, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1628, "src": "8773:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8769:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<=", "rightExpression": { "argumentTypes": null, "id": 1639, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1626, "src": "8778:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8769:10:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8759:20:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1642, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8758:22:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1651, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1645, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1643, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1628, "src": "8785:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1644, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8789:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8785:5:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1650, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1648, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1646, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1626, "src": "8794:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "id": 1647, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1628, "src": "8798:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8794:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "id": 1649, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1626, "src": "8802:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8794:9:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8785:18:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1652, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8784:20:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8758:46:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1632, "id": 1654, "nodeType": "Return", "src": "8751:53:5" } ] }, "documentation": "@dev Returns whether a subtraction operation causes an underflow\n @param a Minuend\n @param b Subtrahend\n @return Did no underflow occur?", "id": 1656, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToSub", "nodeType": "FunctionDefinition", "parameters": { "id": 1629, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1626, "name": "a", "nodeType": "VariableDeclaration", "scope": 1656, "src": "8670:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1625, "name": "int", "nodeType": "ElementaryTypeName", "src": "8670:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1628, "name": "b", "nodeType": "VariableDeclaration", "scope": 1656, "src": "8677:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1627, "name": "int", "nodeType": "ElementaryTypeName", "src": "8677:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "8669:14:5" }, "payable": false, "returnParameters": { "id": 1632, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1631, "name": "", "nodeType": "VariableDeclaration", "scope": 1656, "src": "8731:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1630, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8731:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "8730:6:5" }, "scope": 1744, "src": "8651:160:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1679, "nodeType": "Block", "src": "9076:52:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1677, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1667, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1665, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1660, "src": "9094:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1666, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "9099:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "9094:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1668, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "9093:8:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1675, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1673, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1671, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1669, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1658, "src": "9106:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1670, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1660, "src": "9110:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9106:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 1672, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1660, "src": "9114:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9106:9:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "id": 1674, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1658, "src": "9119:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9106:14:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1676, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "9105:16:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "9093:28:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1664, "id": 1678, "nodeType": "Return", "src": "9086:35:5" } ] }, "documentation": "@dev Returns whether a multiply operation causes an overflow\n @param a First factor\n @param b Second factor\n @return Did no overflow occur?", "id": 1680, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToMul", "nodeType": "FunctionDefinition", "parameters": { "id": 1661, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1658, "name": "a", "nodeType": "VariableDeclaration", "scope": 1680, "src": "9005:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1657, "name": "int", "nodeType": "ElementaryTypeName", "src": "9005:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1660, "name": "b", "nodeType": "VariableDeclaration", "scope": 1680, "src": "9012:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1659, "name": "int", "nodeType": "ElementaryTypeName", "src": "9012:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9004:14:5" }, "payable": false, "returnParameters": { "id": 1664, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1663, "name": "", "nodeType": "VariableDeclaration", "scope": 1680, "src": "9066:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1662, "name": "bool", "nodeType": "ElementaryTypeName", "src": "9066:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "9065:6:5" }, "scope": 1744, "src": "8986:142:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1700, "nodeType": "Block", "src": "9347:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1691, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1682, "src": "9375:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "argumentTypes": null, "id": 1692, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1684, "src": "9378:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1690, "name": "safeToAdd", "nodeType": "Identifier", "overloadedDeclarations": [ 1493, 1624 ], "referencedDeclaration": 1624, "src": "9365:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1693, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9365:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1689, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "9357:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1694, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9357:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1695, "nodeType": "ExpressionStatement", "src": "9357:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1698, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1696, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1682, "src": "9398:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1697, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1684, "src": "9402:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9398:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1688, "id": 1699, "nodeType": "Return", "src": "9391:12:5" } ] }, "documentation": "@dev Returns sum if no overflow occurred\n @param a First addend\n @param b Second addend\n @return Sum", "id": 1701, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "add", "nodeType": "FunctionDefinition", "parameters": { "id": 1685, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1682, "name": "a", "nodeType": "VariableDeclaration", "scope": 1701, "src": "9277:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1681, "name": "int", "nodeType": "ElementaryTypeName", "src": "9277:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1684, "name": "b", "nodeType": "VariableDeclaration", "scope": 1701, "src": "9284:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1683, "name": "int", "nodeType": "ElementaryTypeName", "src": "9284:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9276:14:5" }, "payable": false, "returnParameters": { "id": 1688, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1687, "name": "", "nodeType": "VariableDeclaration", "scope": 1701, "src": "9338:3:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1686, "name": "int", "nodeType": "ElementaryTypeName", "src": "9338:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9337:5:5" }, "scope": 1744, "src": "9264:146:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1721, "nodeType": "Block", "src": "9635:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1712, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1703, "src": "9663:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "argumentTypes": null, "id": 1713, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1705, "src": "9666:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1711, "name": "safeToSub", "nodeType": "Identifier", "overloadedDeclarations": [ 1507, 1656 ], "referencedDeclaration": 1656, "src": "9653:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1714, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9653:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1710, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "9645:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1715, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9645:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1716, "nodeType": "ExpressionStatement", "src": "9645:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1719, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1717, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1703, "src": "9686:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "id": 1718, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1705, "src": "9690:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9686:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1709, "id": 1720, "nodeType": "Return", "src": "9679:12:5" } ] }, "documentation": "@dev Returns difference if no overflow occurred\n @param a Minuend\n @param b Subtrahend\n @return Difference", "id": 1722, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "sub", "nodeType": "FunctionDefinition", "parameters": { "id": 1706, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1703, "name": "a", "nodeType": "VariableDeclaration", "scope": 1722, "src": "9565:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1702, "name": "int", "nodeType": "ElementaryTypeName", "src": "9565:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1705, "name": "b", "nodeType": "VariableDeclaration", "scope": 1722, "src": "9572:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1704, "name": "int", "nodeType": "ElementaryTypeName", "src": "9572:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9564:14:5" }, "payable": false, "returnParameters": { "id": 1709, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1708, "name": "", "nodeType": "VariableDeclaration", "scope": 1722, "src": "9626:3:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1707, "name": "int", "nodeType": "ElementaryTypeName", "src": "9626:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9625:5:5" }, "scope": 1744, "src": "9552:146:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1742, "nodeType": "Block", "src": "9925:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1733, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1724, "src": "9953:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "argumentTypes": null, "id": 1734, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1726, "src": "9956:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1732, "name": "safeToMul", "nodeType": "Identifier", "overloadedDeclarations": [ 1529, 1680 ], "referencedDeclaration": 1680, "src": "9943:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1735, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9943:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1731, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "9935:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1736, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9935:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1737, "nodeType": "ExpressionStatement", "src": "9935:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1740, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1738, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1724, "src": "9976:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1739, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1726, "src": "9980:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9976:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1730, "id": 1741, "nodeType": "Return", "src": "9969:12:5" } ] }, "documentation": "@dev Returns product if no overflow occurred\n @param a First factor\n @param b Second factor\n @return Product", "id": 1743, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "mul", "nodeType": "FunctionDefinition", "parameters": { "id": 1727, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1724, "name": "a", "nodeType": "VariableDeclaration", "scope": 1743, "src": "9855:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1723, "name": "int", "nodeType": "ElementaryTypeName", "src": "9855:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1726, "name": "b", "nodeType": "VariableDeclaration", "scope": 1743, "src": "9862:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1725, "name": "int", "nodeType": "ElementaryTypeName", "src": "9862:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9854:14:5" }, "payable": false, "returnParameters": { "id": 1730, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1729, "name": "", "nodeType": "VariableDeclaration", "scope": 1743, "src": "9916:3:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1728, "name": "int", "nodeType": "ElementaryTypeName", "src": "9916:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9915:5:5" }, "scope": 1744, "src": "9842:146:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" } ], "scope": 1745, "src": "202:9788:5" } ], "src": "0:9991:5" }, "legacyAST": { "absolutePath": "@gnosis.pm/util-contracts/contracts/Math.sol", "exportedSymbols": { "Math": [ 1744 ] }, "id": 1745, "nodeType": "SourceUnit", "nodes": [ { "id": 617, "literals": [ "solidity", "^", "0.4", ".18" ], "nodeType": "PragmaDirective", "src": "0:24:5" }, { "baseContracts": [], "contractDependencies": [], "contractKind": "library", "documentation": "@title Math library - Allows calculation of logarithmic and exponential functions\n @author Alan Lu - \n @author Stefan George - ", "fullyImplemented": true, "id": 1744, "linearizedBaseContracts": [ 1744 ], "name": "Math", "nodeType": "ContractDefinition", "nodes": [ { "constant": true, "id": 620, "name": "ONE", "nodeType": "VariableDeclaration", "scope": 1744, "src": "301:47:5", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 618, "name": "uint", "nodeType": "ElementaryTypeName", "src": "301:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "hexValue": "30783130303030303030303030303030303030", "id": 619, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "329:19:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_18446744073709551616_by_1", "typeString": "int_const 18446744073709551616" }, "value": "0x10000000000000000" }, "visibility": "public" }, { "constant": true, "id": 623, "name": "LN2", "nodeType": "VariableDeclaration", "scope": 1744, "src": "354:45:5", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 621, "name": "uint", "nodeType": "ElementaryTypeName", "src": "354:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "hexValue": "307862313732313766376431636637396163", "id": 622, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "381:18:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_12786308645202655660_by_1", "typeString": "int_const 12786308645202655660" }, "value": "0xb17217f7d1cf79ac" }, "visibility": "public" }, { "constant": true, "id": 626, "name": "LOG2_E", "nodeType": "VariableDeclaration", "scope": 1744, "src": "405:49:5", "stateVariable": true, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 624, "name": "uint", "nodeType": "ElementaryTypeName", "src": "405:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": { "argumentTypes": null, "hexValue": "30783137313534373635326238326665313737", "id": 625, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "435:19:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_26613026195688644983_by_1", "typeString": "int_const 26613026195688644983" }, "value": "0x171547652b82fe177" }, "visibility": "public" }, { "body": { "id": 998, "nodeType": "Block", "src": "683:2764:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 636, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 634, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "820:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<=", "rightExpression": { "argumentTypes": null, "hexValue": "32343534393731323539383738393039383836363739", "id": 635, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "825:22:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2454971259878909886679_by_1", "typeString": "int_const 2454971259878909886679" }, "value": "2454971259878909886679" }, "src": "820:27:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 633, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "812:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 637, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "812:36:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 638, "nodeType": "ExpressionStatement", "src": "812:36:5" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 642, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 639, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "972:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 641, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "976:22:5", "subExpression": { "argumentTypes": null, "hexValue": "383138333233373533323932393639393632323237", "id": 640, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "977:21:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_818323753292969962227_by_1", "typeString": "int_const 818323753292969962227" }, "value": "818323753292969962227" }, "typeDescriptions": { "typeIdentifier": "t_rational_-818323753292969962227_by_1", "typeString": "int_const -818323753292969962227" } }, "src": "972:26:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 645, "nodeType": "IfStatement", "src": "968:52:5", "trueBody": { "expression": { "argumentTypes": null, "hexValue": "30", "id": 643, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1019:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "functionReturnParameters": 632, "id": 644, "nodeType": "Return", "src": "1012:8:5" } }, { "expression": { "argumentTypes": null, "id": 656, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 646, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1070:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 655, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 651, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 647, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1074:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 649, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1082:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 648, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1078:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 650, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1078:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1074:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 653, "name": "LN2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 623, "src": "1093:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 652, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1089:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 654, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1089:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1074:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1070:27:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 657, "nodeType": "ExpressionStatement", "src": "1070:27:5" }, { "assignments": [], "declarations": [ { "constant": false, "id": 659, "name": "shift", "nodeType": "VariableDeclaration", "scope": 999, "src": "1233:9:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 658, "name": "int", "nodeType": "ElementaryTypeName", "src": "1233:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 660, "initialValue": null, "nodeType": "VariableDeclarationStatement", "src": "1233:9:5" }, { "assignments": [], "declarations": [ { "constant": false, "id": 662, "name": "z", "nodeType": "VariableDeclaration", "scope": 999, "src": "1252:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 661, "name": "uint", "nodeType": "ElementaryTypeName", "src": "1252:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 663, "initialValue": null, "nodeType": "VariableDeclarationStatement", "src": "1252:6:5" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 666, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 664, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1272:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 665, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1277:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "1272:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "id": 709, "nodeType": "Block", "src": "1375:92:5", "statements": [ { "expression": { "argumentTypes": null, "id": 694, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 686, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "1389:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 693, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 691, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 687, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1397:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 689, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1405:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 688, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1401:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 690, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1401:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1397:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "hexValue": "31", "id": 692, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "1412:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "1397:16:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1389:24:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 695, "nodeType": "ExpressionStatement", "src": "1389:24:5" }, { "expression": { "argumentTypes": null, "id": 707, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 696, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "1427:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 706, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 697, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1431:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 704, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 700, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "1442:2:5", "subExpression": { "argumentTypes": null, "id": 699, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1443:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 702, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1451:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 701, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1447:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 703, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1447:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1442:13:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 698, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1437:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 705, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1437:19:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1431:25:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1427:29:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 708, "nodeType": "ExpressionStatement", "src": "1427:29:5" } ] }, "id": 710, "nodeType": "IfStatement", "src": "1268:199:5", "trueBody": { "id": 685, "nodeType": "Block", "src": "1280:81:5", "statements": [ { "expression": { "argumentTypes": null, "id": 673, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 667, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "1294:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 672, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 668, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1302:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 670, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1310:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 669, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1306:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 671, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1306:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1302:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1294:20:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 674, "nodeType": "ExpressionStatement", "src": "1294:20:5" }, { "expression": { "argumentTypes": null, "id": 683, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 675, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "1328:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 681, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 677, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 628, "src": "1337:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "%", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 679, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "1345:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 678, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1341:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 680, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1341:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "1337:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 676, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "1332:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 682, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "1332:18:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "1328:22:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 684, "nodeType": "ExpressionStatement", "src": "1328:22:5" } ] } }, { "assignments": [ 712 ], "declarations": [ { "constant": false, "id": 712, "name": "zpow", "nodeType": "VariableDeclaration", "scope": 999, "src": "2002:9:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 711, "name": "uint", "nodeType": "ElementaryTypeName", "src": "2002:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 714, "initialValue": { "argumentTypes": null, "id": 713, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2014:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "2002:13:5" }, { "assignments": [ 716 ], "declarations": [ { "constant": false, "id": 716, "name": "result", "nodeType": "VariableDeclaration", "scope": 999, "src": "2025:11:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 715, "name": "uint", "nodeType": "ElementaryTypeName", "src": "2025:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 718, "initialValue": { "argumentTypes": null, "id": 717, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2039:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "VariableDeclarationStatement", "src": "2025:17:5" }, { "expression": { "argumentTypes": null, "id": 725, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 719, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2052:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 724, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 722, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307862313732313766376431636637396162", "id": 720, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2062:18:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_12786308645202655659_by_1", "typeString": "int_const 12786308645202655659" }, "value": "0xb17217f7d1cf79ab" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 721, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2083:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2062:25:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 723, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2090:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2062:31:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2052:41:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 726, "nodeType": "ExpressionStatement", "src": "2052:41:5" }, { "expression": { "argumentTypes": null, "id": 733, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 727, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2103:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 732, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 730, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 728, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2110:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 729, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2117:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2110:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 731, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2121:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2110:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2103:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 734, "nodeType": "ExpressionStatement", "src": "2103:21:5" }, { "expression": { "argumentTypes": null, "id": 741, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 735, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2134:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 740, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 738, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307833643766376266663035386231643530", "id": 736, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2144:18:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_4431396893595737424_by_1", "typeString": "int_const 4431396893595737424" }, "value": "0x3d7f7bff058b1d50" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 737, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2165:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2144:25:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 739, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2172:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2144:31:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2134:41:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 742, "nodeType": "ExpressionStatement", "src": "2134:41:5" }, { "expression": { "argumentTypes": null, "id": 749, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 743, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2185:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 748, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 746, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 744, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2192:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 745, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2199:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2192:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 747, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2203:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2192:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2185:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 750, "nodeType": "ExpressionStatement", "src": "2185:21:5" }, { "expression": { "argumentTypes": null, "id": 757, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 751, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2216:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 756, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 754, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078653335383436623832353035666335", "id": 752, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2226:17:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1023870087579328453_by_1", "typeString": "int_const 1023870087579328453" }, "value": "0xe35846b82505fc5" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 753, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2246:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2226:24:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 755, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2253:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2226:30:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2216:40:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 758, "nodeType": "ExpressionStatement", "src": "2216:40:5" }, { "expression": { "argumentTypes": null, "id": 765, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 759, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2266:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 764, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 762, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 760, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2273:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 761, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2280:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2273:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 763, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2284:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2273:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2266:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 766, "nodeType": "ExpressionStatement", "src": "2266:21:5" }, { "expression": { "argumentTypes": null, "id": 773, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 767, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2297:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 772, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 770, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078323736353536646637343963656535", "id": 768, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2307:17:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_177423166116318949_by_1", "typeString": "int_const 177423166116318949" }, "value": "0x276556df749cee5" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 769, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2327:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2307:24:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 771, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2334:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2307:30:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2297:40:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 774, "nodeType": "ExpressionStatement", "src": "2297:40:5" }, { "expression": { "argumentTypes": null, "id": 781, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 775, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2347:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 780, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 778, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 776, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2354:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 777, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2361:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2354:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 779, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2365:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2354:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2347:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 782, "nodeType": "ExpressionStatement", "src": "2347:21:5" }, { "expression": { "argumentTypes": null, "id": 789, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 783, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2378:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 788, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 786, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "30783537363166663965323939636334", "id": 784, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2388:16:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_24596073471909060_by_1", "typeString": "int_const 24596073471909060" }, "value": "0x5761ff9e299cc4" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 785, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2407:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2388:23:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 787, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2414:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2388:29:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2378:39:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 790, "nodeType": "ExpressionStatement", "src": "2378:39:5" }, { "expression": { "argumentTypes": null, "id": 797, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 791, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2427:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 796, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 794, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 792, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2434:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 793, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2441:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2434:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 795, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2445:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2434:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2427:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 798, "nodeType": "ExpressionStatement", "src": "2427:21:5" }, { "expression": { "argumentTypes": null, "id": 805, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 799, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2458:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 804, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 802, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307861313834383937633336336333", "id": 800, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2468:15:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2841449829983171_by_1", "typeString": "int_const 2841449829983171" }, "value": "0xa184897c363c3" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 801, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2486:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2468:22:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 803, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2493:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2468:28:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2458:38:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 806, "nodeType": "ExpressionStatement", "src": "2458:38:5" }, { "expression": { "argumentTypes": null, "id": 813, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 807, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2506:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 812, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 810, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 808, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2513:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 809, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2520:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2513:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 811, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2524:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2513:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2506:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 814, "nodeType": "ExpressionStatement", "src": "2506:21:5" }, { "expression": { "argumentTypes": null, "id": 821, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 815, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2537:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 820, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 818, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078666665356665326334353836", "id": 816, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2547:14:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_281363276907910_by_1", "typeString": "int_const 281363276907910" }, "value": "0xffe5fe2c4586" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 817, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2564:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2547:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 819, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2571:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2547:27:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2537:37:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 822, "nodeType": "ExpressionStatement", "src": "2537:37:5" }, { "expression": { "argumentTypes": null, "id": 829, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 823, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2584:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 828, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 826, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 824, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2591:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 825, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2598:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2591:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 827, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2602:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2591:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2584:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 830, "nodeType": "ExpressionStatement", "src": "2584:21:5" }, { "expression": { "argumentTypes": null, "id": 837, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 831, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2615:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 836, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 834, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078313632633032323361356338", "id": 832, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2625:14:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_24378270262728_by_1", "typeString": "int_const 24378270262728" }, "value": "0x162c0223a5c8" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 833, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2642:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2625:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 835, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2649:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2625:27:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2615:37:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 838, "nodeType": "ExpressionStatement", "src": "2615:37:5" }, { "expression": { "argumentTypes": null, "id": 845, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 839, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2662:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 844, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 842, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 840, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2669:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 841, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2676:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2669:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 843, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2680:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2669:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2662:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 846, "nodeType": "ExpressionStatement", "src": "2662:21:5" }, { "expression": { "argumentTypes": null, "id": 853, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 847, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2693:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 852, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 850, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "30783162353235336433393565", "id": 848, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2703:13:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1877525477726_by_1", "typeString": "int_const 1877525477726" }, "value": "0x1b5253d395e" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 849, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2719:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2703:20:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 851, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2726:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2703:26:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2693:36:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 854, "nodeType": "ExpressionStatement", "src": "2693:36:5" }, { "expression": { "argumentTypes": null, "id": 861, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 855, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2739:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 860, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 858, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 856, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2746:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 857, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2753:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2746:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 859, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2757:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2746:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2739:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 862, "nodeType": "ExpressionStatement", "src": "2739:21:5" }, { "expression": { "argumentTypes": null, "id": 869, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 863, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2770:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 868, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 866, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307831653463663531353862", "id": 864, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2780:12:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_130140149131_by_1", "typeString": "int_const 130140149131" }, "value": "0x1e4cf5158b" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 865, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2795:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2780:19:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 867, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2802:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2780:25:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2770:35:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 870, "nodeType": "ExpressionStatement", "src": "2770:35:5" }, { "expression": { "argumentTypes": null, "id": 877, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 871, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2815:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 876, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 874, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 872, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2822:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 873, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2829:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2822:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 875, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2833:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2822:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2815:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 878, "nodeType": "ExpressionStatement", "src": "2815:21:5" }, { "expression": { "argumentTypes": null, "id": 885, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 879, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2846:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 884, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 882, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078316538636163373335", "id": 880, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2856:11:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_8200570677_by_1", "typeString": "int_const 8200570677" }, "value": "0x1e8cac735" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 881, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2870:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2856:18:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 883, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2877:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2856:24:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2846:34:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 886, "nodeType": "ExpressionStatement", "src": "2846:34:5" }, { "expression": { "argumentTypes": null, "id": 893, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 887, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2890:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 892, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 890, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 888, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2897:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 889, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2904:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2897:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 891, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2908:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2897:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2890:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 894, "nodeType": "ExpressionStatement", "src": "2890:21:5" }, { "expression": { "argumentTypes": null, "id": 901, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 895, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2921:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 900, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 898, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "30783163336264363530", "id": 896, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "2931:10:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_473683536_by_1", "typeString": "int_const 473683536" }, "value": "0x1c3bd650" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 897, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2944:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2931:17:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 899, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2951:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2931:23:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2921:33:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 902, "nodeType": "ExpressionStatement", "src": "2921:33:5" }, { "expression": { "argumentTypes": null, "id": 909, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 903, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2964:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 908, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 906, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 904, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "2971:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 905, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "2978:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2971:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 907, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "2982:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2971:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2964:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 910, "nodeType": "ExpressionStatement", "src": "2964:21:5" }, { "expression": { "argumentTypes": null, "id": 917, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 911, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "2995:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 916, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 914, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307831383136313933", "id": 912, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3005:9:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_25256339_by_1", "typeString": "int_const 25256339" }, "value": "0x1816193" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 913, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3017:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3005:16:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 915, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3024:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3005:22:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "2995:32:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 918, "nodeType": "ExpressionStatement", "src": "2995:32:5" }, { "expression": { "argumentTypes": null, "id": 925, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 919, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3037:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 924, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 922, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 920, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3044:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 921, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "3051:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3044:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 923, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3055:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3044:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3037:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 926, "nodeType": "ExpressionStatement", "src": "3037:21:5" }, { "expression": { "argumentTypes": null, "id": 933, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 927, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3068:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 932, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 930, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078313331343936", "id": 928, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3078:8:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1250454_by_1", "typeString": "int_const 1250454" }, "value": "0x131496" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 929, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3089:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3078:15:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 931, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3096:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3078:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3068:31:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 934, "nodeType": "ExpressionStatement", "src": "3068:31:5" }, { "expression": { "argumentTypes": null, "id": 941, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 935, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3109:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 940, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 938, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 936, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3116:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 937, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "3123:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3116:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 939, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3127:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3116:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3109:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 942, "nodeType": "ExpressionStatement", "src": "3109:21:5" }, { "expression": { "argumentTypes": null, "id": 949, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 943, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3140:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 948, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 946, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "307865316237", "id": 944, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3150:6:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_57783_by_1", "typeString": "int_const 57783" }, "value": "0xe1b7" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 945, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3159:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3150:13:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 947, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3166:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3150:19:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3140:29:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 950, "nodeType": "ExpressionStatement", "src": "3140:29:5" }, { "expression": { "argumentTypes": null, "id": 957, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 951, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3179:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 956, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 954, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 952, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3186:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 953, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 662, "src": "3193:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3186:8:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 955, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3197:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3186:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3179:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 958, "nodeType": "ExpressionStatement", "src": "3179:21:5" }, { "expression": { "argumentTypes": null, "id": 965, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 959, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3210:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 964, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 962, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "3078396337", "id": 960, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3220:5:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2503_by_1", "typeString": "int_const 2503" }, "value": "0x9c7" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 961, "name": "zpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 712, "src": "3228:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3220:12:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 963, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "3235:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3220:18:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3210:28:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 966, "nodeType": "ExpressionStatement", "src": "3210:28:5" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 969, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 967, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "3252:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 968, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3261:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3252:10:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 995, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 991, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3422:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "id": 993, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "3433:6:5", "subExpression": { "argumentTypes": null, "id": 992, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "3434:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 994, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3432:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3422:18:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 632, "id": 996, "nodeType": "Return", "src": "3415:25:5" }, "id": 997, "nodeType": "IfStatement", "src": "3248:192:5", "trueBody": { "id": 990, "nodeType": "Block", "src": "3264:125:5", "statements": [ { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 977, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 975, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 970, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3282:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 973, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "323536", "id": 971, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3293:3:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_256_by_1", "typeString": "int_const 256" }, "value": "256" }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "id": 972, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "3297:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3293:9:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 974, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3292:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3282:21:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 976, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3306:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3282:25:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 985, "nodeType": "IfStatement", "src": "3278:64:5", "trueBody": { "expression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" }, "id": 982, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639936_by_1", "typeString": "int_const 1157...(70 digits omitted)...9936" }, "id": 980, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "32", "id": 978, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3333:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "nodeType": "BinaryOperation", "operator": "**", "rightExpression": { "argumentTypes": null, "hexValue": "323536", "id": 979, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3336:3:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_256_by_1", "typeString": "int_const 256" }, "value": "256" }, "src": "3333:6:5", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639936_by_1", "typeString": "int_const 1157...(70 digits omitted)...9936" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "hexValue": "31", "id": 981, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3340:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "3333:8:5", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" } } ], "id": 983, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "TupleExpression", "src": "3332:10:5", "typeDescriptions": { "typeIdentifier": "t_rational_115792089237316195423570985008687907853269984665640564039457584007913129639935_by_1", "typeString": "int_const 1157...(70 digits omitted)...9935" } }, "functionReturnParameters": 632, "id": 984, "nodeType": "Return", "src": "3325:17:5" } }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 988, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 986, "name": "result", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 716, "src": "3363:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "argumentTypes": null, "id": 987, "name": "shift", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 659, "src": "3373:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3363:15:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 632, "id": 989, "nodeType": "Return", "src": "3356:22:5" } ] } } ] }, "documentation": "@dev Returns natural exponential function value of given x\n @param x x\n @return e**x", "id": 999, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "exp", "nodeType": "FunctionDefinition", "parameters": { "id": 629, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 628, "name": "x", "nodeType": "VariableDeclaration", "scope": 999, "src": "621:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 627, "name": "int", "nodeType": "ElementaryTypeName", "src": "621:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "620:7:5" }, "payable": false, "returnParameters": { "id": 632, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 631, "name": "", "nodeType": "VariableDeclaration", "scope": 999, "src": "673:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 630, "name": "uint", "nodeType": "ElementaryTypeName", "src": "673:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "672:6:5" }, "scope": 1744, "src": "608:2839:5", "stateMutability": "pure", "superFunction": null, "visibility": "public" }, { "body": { "id": 1353, "nodeType": "Block", "src": "3624:1757:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1009, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1007, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1001, "src": "3642:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1008, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3646:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3642:5:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1006, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "3634:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1010, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3634:14:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1011, "nodeType": "ExpressionStatement", "src": "3634:14:5" }, { "assignments": [ 1013 ], "declarations": [ { "constant": false, "id": 1013, "name": "ilog2", "nodeType": "VariableDeclaration", "scope": 1354, "src": "3702:9:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1012, "name": "int", "nodeType": "ElementaryTypeName", "src": "3702:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1017, "initialValue": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1015, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1001, "src": "3724:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1014, "name": "floorLog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1430, "src": "3714:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$returns$_t_int256_$", "typeString": "function (uint256) pure returns (int256)" } }, "id": 1016, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3714:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "3702:24:5" }, { "assignments": [], "declarations": [ { "constant": false, "id": 1019, "name": "z", "nodeType": "VariableDeclaration", "scope": 1354, "src": "3736:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1018, "name": "int", "nodeType": "ElementaryTypeName", "src": "3736:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1020, "initialValue": null, "nodeType": "VariableDeclarationStatement", "src": "3736:5:5" }, { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1023, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1021, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1013, "src": "3755:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1022, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "3763:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "3755:9:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "argumentTypes": null, "id": 1043, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1035, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1019, "src": "3831:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1041, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1037, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1001, "src": "3839:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1039, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1013, "src": "3849:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1038, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3844:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 1040, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3844:11:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3839:16:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1036, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3835:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1042, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3835:21:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3831:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1044, "nodeType": "ExpressionStatement", "src": "3831:25:5" }, "id": 1045, "nodeType": "IfStatement", "src": "3751:105:5", "trueBody": { "expression": { "argumentTypes": null, "id": 1033, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1024, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1019, "src": "3778:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1031, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1026, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1001, "src": "3786:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1029, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "3796:6:5", "subExpression": { "argumentTypes": null, "id": 1028, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1013, "src": "3797:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1027, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3791:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 1030, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3791:12:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "3786:17:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1025, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "3782:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1032, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "3782:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "3778:26:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1034, "nodeType": "ExpressionStatement", "src": "3778:26:5" } }, { "assignments": [ 1047 ], "declarations": [ { "constant": false, "id": 1047, "name": "term", "nodeType": "VariableDeclaration", "scope": 1354, "src": "4070:8:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1046, "name": "int", "nodeType": "ElementaryTypeName", "src": "4070:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1065, "initialValue": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1064, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1057, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1052, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1048, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1019, "src": "4082:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1050, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4090:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1049, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4086:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1051, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4086:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4082:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1053, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4081:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1055, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4102:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1054, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4098:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1056, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4098:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4081:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1062, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1058, "name": "z", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1019, "src": "4110:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1060, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4118:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1059, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4114:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1061, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4114:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4110:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1063, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "4109:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4081:42:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4070:53:5" }, { "assignments": [ 1067 ], "declarations": [ { "constant": false, "id": 1067, "name": "halflnz", "nodeType": "VariableDeclaration", "scope": 1354, "src": "4133:11:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1066, "name": "int", "nodeType": "ElementaryTypeName", "src": "4133:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1069, "initialValue": { "argumentTypes": null, "id": 1068, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4147:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4133:18:5" }, { "assignments": [ 1071 ], "declarations": [ { "constant": false, "id": 1071, "name": "termpow", "nodeType": "VariableDeclaration", "scope": 1354, "src": "4161:11:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1070, "name": "int", "nodeType": "ElementaryTypeName", "src": "4161:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1085, "initialValue": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1084, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1080, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1078, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1074, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1072, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4175:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1073, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4182:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4175:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1076, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4193:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1075, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4189:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1077, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4189:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4175:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1079, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4200:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4175:29:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1082, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4211:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1081, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4207:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1083, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4207:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4175:40:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "4161:54:5" }, { "expression": { "argumentTypes": null, "id": 1090, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1086, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4225:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1089, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1087, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4236:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "33", "id": 1088, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4246:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_3_by_1", "typeString": "int_const 3" }, "value": "3" }, "src": "4236:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4225:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1091, "nodeType": "ExpressionStatement", "src": "4225:22:5" }, { "expression": { "argumentTypes": null, "id": 1106, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1092, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4257:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1105, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1101, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1099, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1095, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1093, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4267:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1094, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4277:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4267:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1097, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4288:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1096, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4284:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1098, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4284:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4267:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1100, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4295:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4267:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1103, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4306:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1102, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4302:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1104, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4302:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4267:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4257:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1107, "nodeType": "ExpressionStatement", "src": "4257:53:5" }, { "expression": { "argumentTypes": null, "id": 1112, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1108, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4320:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1111, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1109, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4331:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "35", "id": 1110, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4341:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_5_by_1", "typeString": "int_const 5" }, "value": "5" }, "src": "4331:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4320:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1113, "nodeType": "ExpressionStatement", "src": "4320:22:5" }, { "expression": { "argumentTypes": null, "id": 1128, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1114, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4352:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1127, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1123, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1121, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1117, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1115, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4362:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1116, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4372:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4362:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1119, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4383:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1118, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4379:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1120, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4379:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4362:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1122, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4390:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4362:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1125, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4401:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1124, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4397:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1126, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4397:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4362:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4352:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1129, "nodeType": "ExpressionStatement", "src": "4352:53:5" }, { "expression": { "argumentTypes": null, "id": 1134, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1130, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4415:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1133, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1131, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4426:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "37", "id": 1132, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4436:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_7_by_1", "typeString": "int_const 7" }, "value": "7" }, "src": "4426:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4415:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1135, "nodeType": "ExpressionStatement", "src": "4415:22:5" }, { "expression": { "argumentTypes": null, "id": 1150, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1136, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4447:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1149, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1145, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1143, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1139, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1137, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4457:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1138, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4467:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4457:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1141, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4478:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1140, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4474:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1142, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4474:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4457:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1144, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4485:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4457:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1147, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4496:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1146, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4492:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1148, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4492:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4457:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4447:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1151, "nodeType": "ExpressionStatement", "src": "4447:53:5" }, { "expression": { "argumentTypes": null, "id": 1156, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1152, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4510:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1155, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1153, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4521:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "39", "id": 1154, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4531:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_9_by_1", "typeString": "int_const 9" }, "value": "9" }, "src": "4521:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4510:22:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1157, "nodeType": "ExpressionStatement", "src": "4510:22:5" }, { "expression": { "argumentTypes": null, "id": 1172, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1158, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4542:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1171, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1167, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1165, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1161, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1159, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4552:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1160, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4562:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4552:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1163, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4573:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1162, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4569:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1164, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4569:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4552:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1166, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4580:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4552:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1169, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4591:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1168, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4587:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1170, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4587:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4552:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4542:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1173, "nodeType": "ExpressionStatement", "src": "4542:53:5" }, { "expression": { "argumentTypes": null, "id": 1178, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1174, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4605:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1177, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1175, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4616:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3131", "id": 1176, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4626:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_11_by_1", "typeString": "int_const 11" }, "value": "11" }, "src": "4616:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4605:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1179, "nodeType": "ExpressionStatement", "src": "4605:23:5" }, { "expression": { "argumentTypes": null, "id": 1194, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1180, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4638:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1193, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1189, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1187, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1183, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1181, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4648:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1182, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4658:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4648:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1185, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4669:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1184, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4665:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1186, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4665:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4648:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1188, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4676:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4648:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1191, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4687:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1190, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4683:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1192, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4683:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4648:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4638:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1195, "nodeType": "ExpressionStatement", "src": "4638:53:5" }, { "expression": { "argumentTypes": null, "id": 1200, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1196, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4701:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1199, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1197, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4712:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3133", "id": 1198, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4722:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_13_by_1", "typeString": "int_const 13" }, "value": "13" }, "src": "4712:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4701:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1201, "nodeType": "ExpressionStatement", "src": "4701:23:5" }, { "expression": { "argumentTypes": null, "id": 1216, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1202, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4734:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1215, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1211, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1209, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1205, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1203, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4744:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1204, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4754:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4744:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1207, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4765:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1206, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4761:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1208, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4761:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4744:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1210, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4772:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4744:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1213, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4783:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1212, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4779:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1214, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4779:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4744:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4734:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1217, "nodeType": "ExpressionStatement", "src": "4734:53:5" }, { "expression": { "argumentTypes": null, "id": 1222, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1218, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4797:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1221, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1219, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4808:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3135", "id": 1220, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4818:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_15_by_1", "typeString": "int_const 15" }, "value": "15" }, "src": "4808:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4797:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1223, "nodeType": "ExpressionStatement", "src": "4797:23:5" }, { "expression": { "argumentTypes": null, "id": 1238, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1224, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4830:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1237, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1233, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1231, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1227, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1225, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4840:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1226, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4850:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4840:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1229, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4861:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1228, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4857:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1230, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4857:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4840:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1232, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4868:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4840:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1235, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4879:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1234, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4875:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1236, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4875:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4840:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4830:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1239, "nodeType": "ExpressionStatement", "src": "4830:53:5" }, { "expression": { "argumentTypes": null, "id": 1244, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1240, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4893:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1243, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1241, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4904:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3137", "id": 1242, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "4914:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_17_by_1", "typeString": "int_const 17" }, "value": "17" }, "src": "4904:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4893:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1245, "nodeType": "ExpressionStatement", "src": "4893:23:5" }, { "expression": { "argumentTypes": null, "id": 1260, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1246, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4926:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1259, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1255, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1253, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1249, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1247, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "4936:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1248, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4946:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4936:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1251, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4957:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1250, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4953:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1252, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4953:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4936:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1254, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "4964:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4936:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1257, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "4975:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1256, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "4971:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1258, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "4971:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4936:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4926:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1261, "nodeType": "ExpressionStatement", "src": "4926:53:5" }, { "expression": { "argumentTypes": null, "id": 1266, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1262, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "4989:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1265, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1263, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5000:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3139", "id": 1264, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5010:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_19_by_1", "typeString": "int_const 19" }, "value": "19" }, "src": "5000:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "4989:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1267, "nodeType": "ExpressionStatement", "src": "4989:23:5" }, { "expression": { "argumentTypes": null, "id": 1282, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1268, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5022:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1281, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1277, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1275, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1271, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1269, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5032:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1270, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5042:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5032:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1273, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5053:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1272, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5049:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1274, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5049:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5032:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1276, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5060:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5032:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1279, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5071:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1278, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5067:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1280, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5067:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5032:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5022:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1283, "nodeType": "ExpressionStatement", "src": "5022:53:5" }, { "expression": { "argumentTypes": null, "id": 1288, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1284, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "5085:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1287, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1285, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5096:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3231", "id": 1286, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5106:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_21_by_1", "typeString": "int_const 21" }, "value": "21" }, "src": "5096:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5085:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1289, "nodeType": "ExpressionStatement", "src": "5085:23:5" }, { "expression": { "argumentTypes": null, "id": 1304, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1290, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5118:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1303, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1299, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1297, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1293, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1291, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5128:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1292, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5138:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5128:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1295, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5149:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1294, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5145:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1296, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5145:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5128:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1298, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5156:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5128:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1301, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5167:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1300, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5163:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1302, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5163:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5128:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5118:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1305, "nodeType": "ExpressionStatement", "src": "5118:53:5" }, { "expression": { "argumentTypes": null, "id": 1310, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1306, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "5181:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1309, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1307, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5192:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3233", "id": 1308, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5202:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_23_by_1", "typeString": "int_const 23" }, "value": "23" }, "src": "5192:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5181:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1311, "nodeType": "ExpressionStatement", "src": "5181:23:5" }, { "expression": { "argumentTypes": null, "id": 1326, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1312, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5214:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1325, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1321, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1319, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1315, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1313, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5224:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1314, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5234:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5224:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1317, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5245:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1316, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5241:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1318, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5241:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5224:25:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1320, "name": "term", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1047, "src": "5252:4:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5224:32:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1323, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5263:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1322, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5259:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1324, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5259:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5224:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5214:53:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1327, "nodeType": "ExpressionStatement", "src": "5214:53:5" }, { "expression": { "argumentTypes": null, "id": 1332, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1328, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "5277:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "+=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1331, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1329, "name": "termpow", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1071, "src": "5288:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "hexValue": "3235", "id": 1330, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5298:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_25_by_1", "typeString": "int_const 25" }, "value": "25" }, "src": "5288:12:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5277:23:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1333, "nodeType": "ExpressionStatement", "src": "5277:23:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1351, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1347, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1343, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1338, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1334, "name": "ilog2", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1013, "src": "5318:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1336, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5330:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1335, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5326:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1337, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5326:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5318:16:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1339, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5317:18:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1341, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5342:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1340, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5338:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1342, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5338:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5317:29:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1345, "name": "LOG2_E", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 626, "src": "5353:6:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1344, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5349:3:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_int256_$", "typeString": "type(int256)" }, "typeName": "int" }, "id": 1346, "isConstant": false, "isLValue": false, "isPure": true, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5349:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5317:43:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1350, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "hexValue": "32", "id": 1348, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5363:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1349, "name": "halflnz", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1067, "src": "5367:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5363:11:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5317:57:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1005, "id": 1352, "nodeType": "Return", "src": "5310:64:5" } ] }, "documentation": "@dev Returns natural logarithm value of given x\n @param x x\n @return ln(x)", "id": 1354, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "ln", "nodeType": "FunctionDefinition", "parameters": { "id": 1002, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1001, "name": "x", "nodeType": "VariableDeclaration", "scope": 1354, "src": "3562:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1000, "name": "uint", "nodeType": "ElementaryTypeName", "src": "3562:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "3561:8:5" }, "payable": false, "returnParameters": { "id": 1005, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1004, "name": "", "nodeType": "VariableDeclaration", "scope": 1354, "src": "3615:3:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1003, "name": "int", "nodeType": "ElementaryTypeName", "src": "3615:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "3614:5:5" }, "scope": 1744, "src": "3550:1831:5", "stateMutability": "pure", "superFunction": null, "visibility": "public" }, { "body": { "id": 1429, "nodeType": "Block", "src": "5579:404:5", "statements": [ { "expression": { "argumentTypes": null, "id": 1364, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1361, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1359, "src": "5589:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "id": 1363, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "5594:3:5", "subExpression": { "argumentTypes": null, "hexValue": "3634", "id": 1362, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5595:2:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_64_by_1", "typeString": "int_const 64" }, "value": "64" }, "typeDescriptions": { "typeIdentifier": "t_rational_-64_by_1", "typeString": "int_const -64" } }, "src": "5589:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1365, "nodeType": "ExpressionStatement", "src": "5589:8:5" }, { "assignments": [ 1367 ], "declarations": [ { "constant": false, "id": 1367, "name": "hi", "nodeType": "VariableDeclaration", "scope": 1430, "src": "5607:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1366, "name": "int", "nodeType": "ElementaryTypeName", "src": "5607:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1369, "initialValue": { "argumentTypes": null, "hexValue": "313933", "id": 1368, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5616:3:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_193_by_1", "typeString": "int_const 193" }, "value": "193" }, "nodeType": "VariableDeclarationStatement", "src": "5607:12:5" }, { "assignments": [ 1371 ], "declarations": [ { "constant": false, "id": 1371, "name": "mid", "nodeType": "VariableDeclaration", "scope": 1430, "src": "5722:7:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1370, "name": "int", "nodeType": "ElementaryTypeName", "src": "5722:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "id": 1378, "initialValue": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1377, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1374, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1372, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1367, "src": "5733:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1373, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1359, "src": "5738:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5733:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1375, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5732:9:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "hexValue": "31", "id": 1376, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5745:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5732:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "VariableDeclarationStatement", "src": "5722:24:5" }, { "body": { "id": 1427, "nodeType": "Block", "src": "5777:200:5", "statements": [ { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1408, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1396, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1387, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1385, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5795:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1386, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5801:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "5795:7:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1395, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1393, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1388, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1356, "src": "5806:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<<", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1391, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "5816:4:5", "subExpression": { "argumentTypes": null, "id": 1390, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5817:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1389, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5811:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 1392, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5811:10:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5806:15:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 1394, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5824:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5806:21:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5795:32:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1407, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1399, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1397, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5831:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1398, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5838:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "5831:8:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1406, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1404, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1400, "name": "x", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1356, "src": "5843:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1402, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5853:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1401, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "ElementaryTypeNameExpression", "src": "5848:4:5", "typeDescriptions": { "typeIdentifier": "t_type$_t_uint256_$", "typeString": "type(uint256)" }, "typeName": "uint" }, "id": 1403, "isConstant": false, "isLValue": false, "isPure": false, "kind": "typeConversion", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "5848:9:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5843:14:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 1405, "name": "ONE", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 620, "src": "5860:3:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "5843:20:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5831:32:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "5795:68:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": { "expression": { "argumentTypes": null, "id": 1415, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1413, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1359, "src": "5924:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "id": 1414, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5929:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5924:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1416, "nodeType": "ExpressionStatement", "src": "5924:8:5" }, "id": 1417, "nodeType": "IfStatement", "src": "5791:141:5", "trueBody": { "expression": { "argumentTypes": null, "id": 1411, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1409, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1367, "src": "5881:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "id": 1410, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5886:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5881:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1412, "nodeType": "ExpressionStatement", "src": "5881:8:5" } }, { "expression": { "argumentTypes": null, "id": 1425, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1418, "name": "mid", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1371, "src": "5946:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1424, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1421, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1419, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1367, "src": "5953:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1420, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1359, "src": "5958:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5953:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1422, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5952:9:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">>", "rightExpression": { "argumentTypes": null, "hexValue": "31", "id": 1423, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5965:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5952:14:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5946:20:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1426, "nodeType": "ExpressionStatement", "src": "5946:20:5" } ] }, "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1384, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1381, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1379, "name": "lo", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1359, "src": "5763:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "hexValue": "31", "id": 1380, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "5768:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_1_by_1", "typeString": "int_const 1" }, "value": "1" }, "src": "5763:6:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "id": 1382, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "5762:8:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 1383, "name": "hi", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1367, "src": "5773:2:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "5762:13:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 1428, "nodeType": "WhileStatement", "src": "5756:221:5" } ] }, "documentation": "@dev Returns base 2 logarithm value of given x\n @param x x\n @return logarithmic value", "id": 1430, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "floorLog2", "nodeType": "FunctionDefinition", "parameters": { "id": 1357, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1356, "name": "x", "nodeType": "VariableDeclaration", "scope": 1430, "src": "5514:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1355, "name": "uint", "nodeType": "ElementaryTypeName", "src": "5514:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "5513:8:5" }, "payable": false, "returnParameters": { "id": 1360, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1359, "name": "lo", "nodeType": "VariableDeclaration", "scope": 1430, "src": "5567:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1358, "name": "int", "nodeType": "ElementaryTypeName", "src": "5567:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "5566:8:5" }, "scope": 1744, "src": "5495:488:5", "stateMutability": "pure", "superFunction": null, "visibility": "public" }, { "body": { "id": 1476, "nodeType": "Block", "src": "6191:182:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1442, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 1439, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "6209:4:5", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1440, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "length", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "6209:11:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1441, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6223:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "6209:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1438, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "6201:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1443, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "6201:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1444, "nodeType": "ExpressionStatement", "src": "6201:24:5" }, { "expression": { "argumentTypes": null, "id": 1450, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1445, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1436, "src": "6235:6:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_rational_-57896044618658097711785492504343953926634992332820282019728792003956564819968_by_1", "typeString": "int_const -578...(70 digits omitted)...9968" }, "id": 1449, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1447, "isConstant": false, "isLValue": false, "isPure": true, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "-", "prefix": true, "src": "6244:2:5", "subExpression": { "argumentTypes": null, "hexValue": "32", "id": 1446, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6245:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_2_by_1", "typeString": "int_const 2" }, "value": "2" }, "typeDescriptions": { "typeIdentifier": "t_rational_-2_by_1", "typeString": "int_const -2" } }, "nodeType": "BinaryOperation", "operator": "**", "rightExpression": { "argumentTypes": null, "hexValue": "323535", "id": 1448, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6248:3:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_255_by_1", "typeString": "int_const 255" }, "value": "255" }, "src": "6244:7:5", "typeDescriptions": { "typeIdentifier": "t_rational_-57896044618658097711785492504343953926634992332820282019728792003956564819968_by_1", "typeString": "int_const -578...(70 digits omitted)...9968" } }, "src": "6235:16:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1451, "nodeType": "ExpressionStatement", "src": "6235:16:5" }, { "body": { "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1467, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "baseExpression": { "argumentTypes": null, "id": 1463, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "6316:4:5", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1465, "indexExpression": { "argumentTypes": null, "id": 1464, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1453, "src": "6321:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "nodeType": "IndexAccess", "src": "6316:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "id": 1466, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1436, "src": "6326:6:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "6316:16:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "falseBody": null, "id": 1474, "nodeType": "IfStatement", "src": "6312:54:5", "trueBody": { "expression": { "argumentTypes": null, "id": 1472, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftHandSide": { "argumentTypes": null, "id": 1468, "name": "maxNum", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1436, "src": "6350:6:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "Assignment", "operator": "=", "rightHandSide": { "argumentTypes": null, "baseExpression": { "argumentTypes": null, "id": 1469, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "6359:4:5", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1471, "indexExpression": { "argumentTypes": null, "id": 1470, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1453, "src": "6364:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "isConstant": false, "isLValue": true, "isPure": false, "lValueRequested": false, "nodeType": "IndexAccess", "src": "6359:7:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "6350:16:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1473, "nodeType": "ExpressionStatement", "src": "6350:16:5" } }, "condition": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1459, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1456, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1453, "src": "6278:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "expression": { "argumentTypes": null, "id": 1457, "name": "nums", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1433, "src": "6282:4:5", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[] memory" } }, "id": 1458, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "memberName": "length", "nodeType": "MemberAccess", "referencedDeclaration": null, "src": "6282:11:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6278:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "id": 1475, "initializationExpression": { "assignments": [ 1453 ], "declarations": [ { "constant": false, "id": 1453, "name": "i", "nodeType": "VariableDeclaration", "scope": 1477, "src": "6266:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1452, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6266:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "id": 1455, "initialValue": { "argumentTypes": null, "hexValue": "30", "id": 1454, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "6275:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "nodeType": "VariableDeclarationStatement", "src": "6266:10:5" }, "loopExpression": { "expression": { "argumentTypes": null, "id": 1461, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "UnaryOperation", "operator": "++", "prefix": false, "src": "6295:3:5", "subExpression": { "argumentTypes": null, "id": 1460, "name": "i", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1453, "src": "6295:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "id": 1462, "nodeType": "ExpressionStatement", "src": "6295:3:5" }, "nodeType": "ForStatement", "src": "6261:105:5" } ] }, "documentation": "@dev Returns maximum of an array\n @param nums Numbers to look through\n @return Maximum number", "id": 1477, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "max", "nodeType": "FunctionDefinition", "parameters": { "id": 1434, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1433, "name": "nums", "nodeType": "VariableDeclaration", "scope": 1477, "src": "6118:10:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_memory_ptr", "typeString": "int256[]" }, "typeName": { "baseType": { "id": 1431, "name": "int", "nodeType": "ElementaryTypeName", "src": "6118:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "id": 1432, "length": null, "nodeType": "ArrayTypeName", "src": "6118:5:5", "typeDescriptions": { "typeIdentifier": "t_array$_t_int256_$dyn_storage_ptr", "typeString": "int256[]" } }, "value": null, "visibility": "internal" } ], "src": "6117:12:5" }, "payable": false, "returnParameters": { "id": 1437, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1436, "name": "maxNum", "nodeType": "VariableDeclaration", "scope": 1477, "src": "6175:10:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1435, "name": "int", "nodeType": "ElementaryTypeName", "src": "6175:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "6174:12:5" }, "scope": 1744, "src": "6105:268:5", "stateMutability": "pure", "superFunction": null, "visibility": "public" }, { "body": { "id": 1492, "nodeType": "Block", "src": "6636:34:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1490, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1488, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1486, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1479, "src": "6653:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1487, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1481, "src": "6657:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6653:5:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "id": 1489, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1479, "src": "6662:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6653:10:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1485, "id": 1491, "nodeType": "Return", "src": "6646:17:5" } ] }, "documentation": "@dev Returns whether an add operation causes an overflow\n @param a First addend\n @param b Second addend\n @return Did no overflow occur?", "id": 1493, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToAdd", "nodeType": "FunctionDefinition", "parameters": { "id": 1482, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1479, "name": "a", "nodeType": "VariableDeclaration", "scope": 1493, "src": "6563:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1478, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6563:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1481, "name": "b", "nodeType": "VariableDeclaration", "scope": 1493, "src": "6571:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1480, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6571:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "6562:16:5" }, "payable": false, "returnParameters": { "id": 1485, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1484, "name": "", "nodeType": "VariableDeclaration", "scope": 1493, "src": "6626:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1483, "name": "bool", "nodeType": "ElementaryTypeName", "src": "6626:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "6625:6:5" }, "scope": 1744, "src": "6544:126:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1506, "nodeType": "Block", "src": "6934:30:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1504, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1502, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1495, "src": "6951:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "id": 1503, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1497, "src": "6956:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "6951:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1501, "id": 1505, "nodeType": "Return", "src": "6944:13:5" } ] }, "documentation": "@dev Returns whether a subtraction operation causes an underflow\n @param a Minuend\n @param b Subtrahend\n @return Did no underflow occur?", "id": 1507, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToSub", "nodeType": "FunctionDefinition", "parameters": { "id": 1498, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1495, "name": "a", "nodeType": "VariableDeclaration", "scope": 1507, "src": "6861:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1494, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6861:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1497, "name": "b", "nodeType": "VariableDeclaration", "scope": 1507, "src": "6869:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1496, "name": "uint", "nodeType": "ElementaryTypeName", "src": "6869:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "6860:16:5" }, "payable": false, "returnParameters": { "id": 1501, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1500, "name": "", "nodeType": "VariableDeclaration", "scope": 1507, "src": "6924:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1499, "name": "bool", "nodeType": "ElementaryTypeName", "src": "6924:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "6923:6:5" }, "scope": 1744, "src": "6842:122:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1528, "nodeType": "Block", "src": "7231:48:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1526, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1518, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1516, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1511, "src": "7248:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1517, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "7253:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "7248:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1525, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1523, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1521, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1519, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1509, "src": "7258:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1520, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1511, "src": "7262:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7258:5:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 1522, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1511, "src": "7266:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7258:9:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "id": 1524, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1509, "src": "7271:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7258:14:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "7248:24:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1515, "id": 1527, "nodeType": "Return", "src": "7241:31:5" } ] }, "documentation": "@dev Returns whether a multiply operation causes an overflow\n @param a First factor\n @param b Second factor\n @return Did no overflow occur?", "id": 1529, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToMul", "nodeType": "FunctionDefinition", "parameters": { "id": 1512, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1509, "name": "a", "nodeType": "VariableDeclaration", "scope": 1529, "src": "7158:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1508, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7158:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1511, "name": "b", "nodeType": "VariableDeclaration", "scope": 1529, "src": "7166:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1510, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7166:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7157:16:5" }, "payable": false, "returnParameters": { "id": 1515, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1514, "name": "", "nodeType": "VariableDeclaration", "scope": 1529, "src": "7221:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1513, "name": "bool", "nodeType": "ElementaryTypeName", "src": "7221:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "7220:6:5" }, "scope": 1744, "src": "7139:140:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1549, "nodeType": "Block", "src": "7501:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1540, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1531, "src": "7529:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 1541, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1533, "src": "7532:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1539, "name": "safeToAdd", "nodeType": "Identifier", "overloadedDeclarations": [ 1493, 1624 ], "referencedDeclaration": 1493, "src": "7519:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1542, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7519:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1538, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "7511:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1543, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7511:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1544, "nodeType": "ExpressionStatement", "src": "7511:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1547, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1545, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1531, "src": "7552:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1546, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1533, "src": "7556:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7552:5:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1537, "id": 1548, "nodeType": "Return", "src": "7545:12:5" } ] }, "documentation": "@dev Returns sum if no overflow occurred\n @param a First addend\n @param b Second addend\n @return Sum", "id": 1550, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "add", "nodeType": "FunctionDefinition", "parameters": { "id": 1534, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1531, "name": "a", "nodeType": "VariableDeclaration", "scope": 1550, "src": "7428:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1530, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7428:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1533, "name": "b", "nodeType": "VariableDeclaration", "scope": 1550, "src": "7436:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1532, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7436:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7427:16:5" }, "payable": false, "returnParameters": { "id": 1537, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1536, "name": "", "nodeType": "VariableDeclaration", "scope": 1550, "src": "7491:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1535, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7491:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7490:6:5" }, "scope": 1744, "src": "7415:149:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1570, "nodeType": "Block", "src": "7792:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1561, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1552, "src": "7820:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 1562, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1554, "src": "7823:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1560, "name": "safeToSub", "nodeType": "Identifier", "overloadedDeclarations": [ 1507, 1656 ], "referencedDeclaration": 1507, "src": "7810:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1563, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7810:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1559, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "7802:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1564, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "7802:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1565, "nodeType": "ExpressionStatement", "src": "7802:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1568, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1566, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1552, "src": "7843:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "id": 1567, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1554, "src": "7847:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "7843:5:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1558, "id": 1569, "nodeType": "Return", "src": "7836:12:5" } ] }, "documentation": "@dev Returns difference if no overflow occurred\n @param a Minuend\n @param b Subtrahend\n @return Difference", "id": 1571, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "sub", "nodeType": "FunctionDefinition", "parameters": { "id": 1555, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1552, "name": "a", "nodeType": "VariableDeclaration", "scope": 1571, "src": "7719:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1551, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7719:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1554, "name": "b", "nodeType": "VariableDeclaration", "scope": 1571, "src": "7727:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1553, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7727:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7718:16:5" }, "payable": false, "returnParameters": { "id": 1558, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1557, "name": "", "nodeType": "VariableDeclaration", "scope": 1571, "src": "7782:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1556, "name": "uint", "nodeType": "ElementaryTypeName", "src": "7782:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "7781:6:5" }, "scope": 1744, "src": "7706:149:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1591, "nodeType": "Block", "src": "8085:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1582, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1573, "src": "8113:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, { "argumentTypes": null, "id": 1583, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1575, "src": "8116:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_uint256", "typeString": "uint256" }, { "typeIdentifier": "t_uint256", "typeString": "uint256" } ], "id": 1581, "name": "safeToMul", "nodeType": "Identifier", "overloadedDeclarations": [ 1529, 1680 ], "referencedDeclaration": 1529, "src": "8103:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_uint256_$_t_uint256_$returns$_t_bool_$", "typeString": "function (uint256,uint256) pure returns (bool)" } }, "id": 1584, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "8103:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1580, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "8095:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1585, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "8095:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1586, "nodeType": "ExpressionStatement", "src": "8095:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "id": 1589, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1587, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1573, "src": "8136:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1588, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1575, "src": "8140:1:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "src": "8136:5:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "functionReturnParameters": 1579, "id": 1590, "nodeType": "Return", "src": "8129:12:5" } ] }, "documentation": "@dev Returns product if no overflow occurred\n @param a First factor\n @param b Second factor\n @return Product", "id": 1592, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "mul", "nodeType": "FunctionDefinition", "parameters": { "id": 1576, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1573, "name": "a", "nodeType": "VariableDeclaration", "scope": 1592, "src": "8012:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1572, "name": "uint", "nodeType": "ElementaryTypeName", "src": "8012:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1575, "name": "b", "nodeType": "VariableDeclaration", "scope": 1592, "src": "8020:6:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1574, "name": "uint", "nodeType": "ElementaryTypeName", "src": "8020:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "8011:16:5" }, "payable": false, "returnParameters": { "id": 1579, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1578, "name": "", "nodeType": "VariableDeclaration", "scope": 1592, "src": "8075:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" }, "typeName": { "id": 1577, "name": "uint", "nodeType": "ElementaryTypeName", "src": "8075:4:5", "typeDescriptions": { "typeIdentifier": "t_uint256", "typeString": "uint256" } }, "value": null, "visibility": "internal" } ], "src": "8074:6:5" }, "scope": 1744, "src": "7999:149:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1623, "nodeType": "Block", "src": "8409:70:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1621, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1609, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1603, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1601, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1596, "src": "8427:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1602, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8432:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8427:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1608, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1606, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1604, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1594, "src": "8437:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1605, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1596, "src": "8441:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8437:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "id": 1607, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1594, "src": "8446:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8437:10:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8427:20:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1610, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8426:22:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1619, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1613, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1611, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1596, "src": "8453:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1612, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8457:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8453:5:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1618, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1616, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1614, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1594, "src": "8462:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1615, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1596, "src": "8466:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8462:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "id": 1617, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1594, "src": "8470:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8462:9:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8453:18:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1620, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8452:20:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8426:46:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1600, "id": 1622, "nodeType": "Return", "src": "8419:53:5" } ] }, "documentation": "@dev Returns whether an add operation causes an overflow\n @param a First addend\n @param b Second addend\n @return Did no overflow occur?", "id": 1624, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToAdd", "nodeType": "FunctionDefinition", "parameters": { "id": 1597, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1594, "name": "a", "nodeType": "VariableDeclaration", "scope": 1624, "src": "8338:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1593, "name": "int", "nodeType": "ElementaryTypeName", "src": "8338:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1596, "name": "b", "nodeType": "VariableDeclaration", "scope": 1624, "src": "8345:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1595, "name": "int", "nodeType": "ElementaryTypeName", "src": "8345:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "8337:14:5" }, "payable": false, "returnParameters": { "id": 1600, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1599, "name": "", "nodeType": "VariableDeclaration", "scope": 1624, "src": "8399:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1598, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8399:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "8398:6:5" }, "scope": 1744, "src": "8319:160:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1655, "nodeType": "Block", "src": "8741:70:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1653, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1641, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1635, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1633, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1628, "src": "8759:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">=", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1634, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8764:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8759:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1640, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1638, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1636, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1626, "src": "8769:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "id": 1637, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1628, "src": "8773:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8769:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<=", "rightExpression": { "argumentTypes": null, "id": 1639, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1626, "src": "8778:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8769:10:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8759:20:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1642, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8758:22:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1651, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1645, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1643, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1628, "src": "8785:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "<", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1644, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "8789:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "8785:5:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "&&", "rightExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1650, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1648, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1646, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1626, "src": "8794:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "id": 1647, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1628, "src": "8798:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8794:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": ">", "rightExpression": { "argumentTypes": null, "id": 1649, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1626, "src": "8802:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "8794:9:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8785:18:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1652, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "8784:20:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "8758:46:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1632, "id": 1654, "nodeType": "Return", "src": "8751:53:5" } ] }, "documentation": "@dev Returns whether a subtraction operation causes an underflow\n @param a Minuend\n @param b Subtrahend\n @return Did no underflow occur?", "id": 1656, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToSub", "nodeType": "FunctionDefinition", "parameters": { "id": 1629, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1626, "name": "a", "nodeType": "VariableDeclaration", "scope": 1656, "src": "8670:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1625, "name": "int", "nodeType": "ElementaryTypeName", "src": "8670:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1628, "name": "b", "nodeType": "VariableDeclaration", "scope": 1656, "src": "8677:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1627, "name": "int", "nodeType": "ElementaryTypeName", "src": "8677:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "8669:14:5" }, "payable": false, "returnParameters": { "id": 1632, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1631, "name": "", "nodeType": "VariableDeclaration", "scope": 1656, "src": "8731:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1630, "name": "bool", "nodeType": "ElementaryTypeName", "src": "8731:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "8730:6:5" }, "scope": 1744, "src": "8651:160:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1679, "nodeType": "Block", "src": "9076:52:5", "statements": [ { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_bool", "typeString": "bool" }, "id": 1677, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1667, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1665, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1660, "src": "9094:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "hexValue": "30", "id": 1666, "isConstant": false, "isLValue": false, "isPure": true, "kind": "number", "lValueRequested": false, "nodeType": "Literal", "src": "9099:1:5", "subdenomination": null, "typeDescriptions": { "typeIdentifier": "t_rational_0_by_1", "typeString": "int_const 0" }, "value": "0" }, "src": "9094:6:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1668, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "9093:8:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "nodeType": "BinaryOperation", "operator": "||", "rightExpression": { "argumentTypes": null, "components": [ { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1675, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1673, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1671, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1669, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1658, "src": "9106:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1670, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1660, "src": "9110:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9106:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "/", "rightExpression": { "argumentTypes": null, "id": 1672, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1660, "src": "9114:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9106:9:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "==", "rightExpression": { "argumentTypes": null, "id": 1674, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1658, "src": "9119:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9106:14:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "id": 1676, "isConstant": false, "isInlineArray": false, "isLValue": false, "isPure": false, "lValueRequested": false, "nodeType": "TupleExpression", "src": "9105:16:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "src": "9093:28:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "functionReturnParameters": 1664, "id": 1678, "nodeType": "Return", "src": "9086:35:5" } ] }, "documentation": "@dev Returns whether a multiply operation causes an overflow\n @param a First factor\n @param b Second factor\n @return Did no overflow occur?", "id": 1680, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "safeToMul", "nodeType": "FunctionDefinition", "parameters": { "id": 1661, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1658, "name": "a", "nodeType": "VariableDeclaration", "scope": 1680, "src": "9005:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1657, "name": "int", "nodeType": "ElementaryTypeName", "src": "9005:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1660, "name": "b", "nodeType": "VariableDeclaration", "scope": 1680, "src": "9012:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1659, "name": "int", "nodeType": "ElementaryTypeName", "src": "9012:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9004:14:5" }, "payable": false, "returnParameters": { "id": 1664, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1663, "name": "", "nodeType": "VariableDeclaration", "scope": 1680, "src": "9066:4:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" }, "typeName": { "id": 1662, "name": "bool", "nodeType": "ElementaryTypeName", "src": "9066:4:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } }, "value": null, "visibility": "internal" } ], "src": "9065:6:5" }, "scope": 1744, "src": "8986:142:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1700, "nodeType": "Block", "src": "9347:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1691, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1682, "src": "9375:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "argumentTypes": null, "id": 1692, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1684, "src": "9378:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1690, "name": "safeToAdd", "nodeType": "Identifier", "overloadedDeclarations": [ 1493, 1624 ], "referencedDeclaration": 1624, "src": "9365:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1693, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9365:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1689, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "9357:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1694, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9357:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1695, "nodeType": "ExpressionStatement", "src": "9357:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1698, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1696, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1682, "src": "9398:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "+", "rightExpression": { "argumentTypes": null, "id": 1697, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1684, "src": "9402:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9398:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1688, "id": 1699, "nodeType": "Return", "src": "9391:12:5" } ] }, "documentation": "@dev Returns sum if no overflow occurred\n @param a First addend\n @param b Second addend\n @return Sum", "id": 1701, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "add", "nodeType": "FunctionDefinition", "parameters": { "id": 1685, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1682, "name": "a", "nodeType": "VariableDeclaration", "scope": 1701, "src": "9277:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1681, "name": "int", "nodeType": "ElementaryTypeName", "src": "9277:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1684, "name": "b", "nodeType": "VariableDeclaration", "scope": 1701, "src": "9284:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1683, "name": "int", "nodeType": "ElementaryTypeName", "src": "9284:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9276:14:5" }, "payable": false, "returnParameters": { "id": 1688, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1687, "name": "", "nodeType": "VariableDeclaration", "scope": 1701, "src": "9338:3:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1686, "name": "int", "nodeType": "ElementaryTypeName", "src": "9338:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9337:5:5" }, "scope": 1744, "src": "9264:146:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1721, "nodeType": "Block", "src": "9635:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1712, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1703, "src": "9663:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "argumentTypes": null, "id": 1713, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1705, "src": "9666:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1711, "name": "safeToSub", "nodeType": "Identifier", "overloadedDeclarations": [ 1507, 1656 ], "referencedDeclaration": 1656, "src": "9653:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1714, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9653:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1710, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "9645:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1715, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9645:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1716, "nodeType": "ExpressionStatement", "src": "9645:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1719, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1717, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1703, "src": "9686:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "-", "rightExpression": { "argumentTypes": null, "id": 1718, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1705, "src": "9690:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9686:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1709, "id": 1720, "nodeType": "Return", "src": "9679:12:5" } ] }, "documentation": "@dev Returns difference if no overflow occurred\n @param a Minuend\n @param b Subtrahend\n @return Difference", "id": 1722, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "sub", "nodeType": "FunctionDefinition", "parameters": { "id": 1706, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1703, "name": "a", "nodeType": "VariableDeclaration", "scope": 1722, "src": "9565:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1702, "name": "int", "nodeType": "ElementaryTypeName", "src": "9565:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1705, "name": "b", "nodeType": "VariableDeclaration", "scope": 1722, "src": "9572:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1704, "name": "int", "nodeType": "ElementaryTypeName", "src": "9572:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9564:14:5" }, "payable": false, "returnParameters": { "id": 1709, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1708, "name": "", "nodeType": "VariableDeclaration", "scope": 1722, "src": "9626:3:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1707, "name": "int", "nodeType": "ElementaryTypeName", "src": "9626:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9625:5:5" }, "scope": 1744, "src": "9552:146:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" }, { "body": { "id": 1742, "nodeType": "Block", "src": "9925:63:5", "statements": [ { "expression": { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "arguments": [ { "argumentTypes": null, "id": 1733, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1724, "src": "9953:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, { "argumentTypes": null, "id": 1734, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1726, "src": "9956:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_int256", "typeString": "int256" }, { "typeIdentifier": "t_int256", "typeString": "int256" } ], "id": 1732, "name": "safeToMul", "nodeType": "Identifier", "overloadedDeclarations": [ 1529, 1680 ], "referencedDeclaration": 1680, "src": "9943:9:5", "typeDescriptions": { "typeIdentifier": "t_function_internal_pure$_t_int256_$_t_int256_$returns$_t_bool_$", "typeString": "function (int256,int256) pure returns (bool)" } }, "id": 1735, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9943:15:5", "typeDescriptions": { "typeIdentifier": "t_bool", "typeString": "bool" } } ], "expression": { "argumentTypes": [ { "typeIdentifier": "t_bool", "typeString": "bool" } ], "id": 1731, "name": "require", "nodeType": "Identifier", "overloadedDeclarations": [ 2074, 2075 ], "referencedDeclaration": 2074, "src": "9935:7:5", "typeDescriptions": { "typeIdentifier": "t_function_require_pure$_t_bool_$returns$__$", "typeString": "function (bool) pure" } }, "id": 1736, "isConstant": false, "isLValue": false, "isPure": false, "kind": "functionCall", "lValueRequested": false, "names": [], "nodeType": "FunctionCall", "src": "9935:24:5", "typeDescriptions": { "typeIdentifier": "t_tuple$__$", "typeString": "tuple()" } }, "id": 1737, "nodeType": "ExpressionStatement", "src": "9935:24:5" }, { "expression": { "argumentTypes": null, "commonType": { "typeIdentifier": "t_int256", "typeString": "int256" }, "id": 1740, "isConstant": false, "isLValue": false, "isPure": false, "lValueRequested": false, "leftExpression": { "argumentTypes": null, "id": 1738, "name": "a", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1724, "src": "9976:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "nodeType": "BinaryOperation", "operator": "*", "rightExpression": { "argumentTypes": null, "id": 1739, "name": "b", "nodeType": "Identifier", "overloadedDeclarations": [], "referencedDeclaration": 1726, "src": "9980:1:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "src": "9976:5:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "functionReturnParameters": 1730, "id": 1741, "nodeType": "Return", "src": "9969:12:5" } ] }, "documentation": "@dev Returns product if no overflow occurred\n @param a First factor\n @param b Second factor\n @return Product", "id": 1743, "implemented": true, "isConstructor": false, "isDeclaredConst": true, "modifiers": [], "name": "mul", "nodeType": "FunctionDefinition", "parameters": { "id": 1727, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1724, "name": "a", "nodeType": "VariableDeclaration", "scope": 1743, "src": "9855:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1723, "name": "int", "nodeType": "ElementaryTypeName", "src": "9855:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" }, { "constant": false, "id": 1726, "name": "b", "nodeType": "VariableDeclaration", "scope": 1743, "src": "9862:5:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1725, "name": "int", "nodeType": "ElementaryTypeName", "src": "9862:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9854:14:5" }, "payable": false, "returnParameters": { "id": 1730, "nodeType": "ParameterList", "parameters": [ { "constant": false, "id": 1729, "name": "", "nodeType": "VariableDeclaration", "scope": 1743, "src": "9916:3:5", "stateVariable": false, "storageLocation": "default", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" }, "typeName": { "id": 1728, "name": "int", "nodeType": "ElementaryTypeName", "src": "9916:3:5", "typeDescriptions": { "typeIdentifier": "t_int256", "typeString": "int256" } }, "value": null, "visibility": "internal" } ], "src": "9915:5:5" }, "scope": 1744, "src": "9842:146:5", "stateMutability": "pure", "superFunction": null, "visibility": "internal" } ], "scope": 1745, "src": "202:9788:5" } ], "src": "0:9991:5" }, "compiler": { "name": "solc", "version": "0.4.23+commit.124ca40d.Emscripten.clang" }, "networks": { "4": { "events": {}, "links": {}, "address": "0x5536a946e869eb8f44eba2b3864fdf71e77b03b6", "updated_at": 1523023157558 } }, "schemaVersion": "2.0.0", "updatedAt": "2018-05-07T22:10:45.609Z" }